118.743 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.138 * * * [progress]: [2/2] Setting up program. 0.144 * [progress]: [Phase 2 of 3] Improving. 0.144 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.144 * [simplify]: Simplifying: (sqrt (* 0.5 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) 0.145 * * [simplify]: iteration 1: (14 enodes) 0.152 * * [simplify]: iteration 2: (27 enodes) 0.161 * * [simplify]: iteration 3: (34 enodes) 0.170 * * [simplify]: iteration 4: (38 enodes) 0.179 * * [simplify]: iteration 5: (40 enodes) 0.188 * * [simplify]: Extracting #0: cost 1 inf + 0 0.188 * * [simplify]: Extracting #1: cost 2 inf + 0 0.188 * * [simplify]: Extracting #2: cost 5 inf + 0 0.188 * * [simplify]: Extracting #3: cost 12 inf + 1 0.189 * * [simplify]: Extracting #4: cost 10 inf + 45 0.189 * * [simplify]: Extracting #5: cost 12 inf + 45 0.189 * * [simplify]: Extracting #6: cost 15 inf + 86 0.189 * * [simplify]: Extracting #7: cost 11 inf + 171 0.189 * * [simplify]: Extracting #8: cost 10 inf + 253 0.189 * * [simplify]: Extracting #9: cost 8 inf + 619 0.190 * * [simplify]: Extracting #10: cost 2 inf + 2161 0.191 * * [simplify]: Extracting #11: cost 0 inf + 2849 0.192 * [simplify]: Simplified to: (sqrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)) 0.226 * * [progress]: iteration 1 / 4 0.226 * * * [progress]: picking best candidate 0.232 * * * * [pick]: Picked # 0.232 * * * [progress]: localizing error 0.281 * * * [progress]: generating rewritten candidates 0.281 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.293 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.317 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 1 2) 0.351 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1) 0.368 * * * [progress]: generating series expansions 0.368 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.368 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 0.368 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 0.368 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.368 * [taylor]: Taking taylor expansion of x in p 0.368 * [backup-simplify]: Simplify x into x 0.368 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.368 * [taylor]: Taking taylor expansion of 4 in p 0.369 * [backup-simplify]: Simplify 4 into 4 0.369 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.369 * [taylor]: Taking taylor expansion of p in p 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.369 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.369 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.369 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 0.370 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.370 * [taylor]: Taking taylor expansion of 4 in x 0.370 * [backup-simplify]: Simplify 4 into 4 0.370 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.370 * [taylor]: Taking taylor expansion of p in x 0.370 * [backup-simplify]: Simplify p into p 0.370 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.370 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.371 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.371 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 0.371 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.372 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 0.372 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.372 * [taylor]: Taking taylor expansion of 4 in x 0.372 * [backup-simplify]: Simplify 4 into 4 0.372 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.372 * [taylor]: Taking taylor expansion of p in x 0.372 * [backup-simplify]: Simplify p into p 0.372 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.372 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.373 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.373 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 0.373 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.373 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 0.374 * [taylor]: Taking taylor expansion of (* 2 p) in p 0.374 * [taylor]: Taking taylor expansion of 2 in p 0.374 * [backup-simplify]: Simplify 2 into 2 0.374 * [taylor]: Taking taylor expansion of p in p 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (* 2 0) into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [taylor]: Taking taylor expansion of 0 in p 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.375 * [backup-simplify]: Simplify 2 into 2 0.375 * [backup-simplify]: Simplify (* 1 1) into 1 0.375 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 0.376 * [backup-simplify]: Simplify (+ 1 0) into 1 0.377 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 0.377 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 0.377 * [taylor]: Taking taylor expansion of 1/4 in p 0.377 * [backup-simplify]: Simplify 1/4 into 1/4 0.377 * [taylor]: Taking taylor expansion of p in p 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 0.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.380 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 0.381 * [taylor]: Taking taylor expansion of 0 in p 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 0.382 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 0.382 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 0.382 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.382 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.382 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.382 * [taylor]: Taking taylor expansion of 4 in p 0.382 * [backup-simplify]: Simplify 4 into 4 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.382 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.382 * [taylor]: Taking taylor expansion of p in p 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.383 * [taylor]: Taking taylor expansion of x in p 0.383 * [backup-simplify]: Simplify x into x 0.383 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.383 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.384 * [backup-simplify]: Simplify (* 4 1) into 4 0.384 * [backup-simplify]: Simplify (+ 4 0) into 4 0.384 * [backup-simplify]: Simplify (sqrt 4) into 2 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.386 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.386 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.386 * [taylor]: Taking taylor expansion of 4 in x 0.387 * [backup-simplify]: Simplify 4 into 4 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.387 * [taylor]: Taking taylor expansion of p in x 0.387 * [backup-simplify]: Simplify p into p 0.387 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.387 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.388 * [backup-simplify]: Simplify (+ 0 1) into 1 0.388 * [backup-simplify]: Simplify (sqrt 1) into 1 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.390 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.390 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.390 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.390 * [taylor]: Taking taylor expansion of 4 in x 0.390 * [backup-simplify]: Simplify 4 into 4 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.390 * [taylor]: Taking taylor expansion of p in x 0.390 * [backup-simplify]: Simplify p into p 0.390 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.390 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [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 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [backup-simplify]: Simplify (+ 0 1) into 1 0.391 * [backup-simplify]: Simplify (sqrt 1) into 1 0.392 * [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 0.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.393 * [taylor]: Taking taylor expansion of 1 in p 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [taylor]: Taking taylor expansion of 0 in p 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.395 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 0.395 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 0.395 * [taylor]: Taking taylor expansion of 2 in p 0.395 * [backup-simplify]: Simplify 2 into 2 0.395 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.395 * [taylor]: Taking taylor expansion of p in p 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (/ 2 1) into 2 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.398 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 0.400 * [taylor]: Taking taylor expansion of 0 in p 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.402 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 0.402 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 0.402 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.402 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.402 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.402 * [taylor]: Taking taylor expansion of 4 in p 0.402 * [backup-simplify]: Simplify 4 into 4 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.402 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.402 * [taylor]: Taking taylor expansion of p in p 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.402 * [taylor]: Taking taylor expansion of x in p 0.402 * [backup-simplify]: Simplify x into x 0.402 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.403 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.403 * [backup-simplify]: Simplify (* 4 1) into 4 0.403 * [backup-simplify]: Simplify (+ 4 0) into 4 0.403 * [backup-simplify]: Simplify (sqrt 4) into 2 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.405 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.405 * [taylor]: Taking taylor expansion of 4 in x 0.405 * [backup-simplify]: Simplify 4 into 4 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.405 * [taylor]: Taking taylor expansion of p in x 0.406 * [backup-simplify]: Simplify p into p 0.406 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.406 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (+ 0 1) into 1 0.407 * [backup-simplify]: Simplify (sqrt 1) into 1 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.408 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.408 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.408 * [taylor]: Taking taylor expansion of 4 in x 0.408 * [backup-simplify]: Simplify 4 into 4 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.408 * [taylor]: Taking taylor expansion of p in x 0.408 * [backup-simplify]: Simplify p into p 0.408 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.409 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [backup-simplify]: Simplify (+ 0 1) into 1 0.410 * [backup-simplify]: Simplify (sqrt 1) into 1 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.411 * [taylor]: Taking taylor expansion of 1 in p 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of 0 in p 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.414 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 0.414 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 0.414 * [taylor]: Taking taylor expansion of 2 in p 0.414 * [backup-simplify]: Simplify 2 into 2 0.414 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.414 * [taylor]: Taking taylor expansion of p in p 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (/ 2 1) into 2 0.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 0.418 * [taylor]: Taking taylor expansion of 0 in p 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.419 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.420 * [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)))))))) 0.420 * [approximate]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0 0.420 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p 0.420 * [taylor]: Taking taylor expansion of 0.5 in p 0.420 * [backup-simplify]: Simplify 0.5 into 0.5 0.420 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p 0.420 * [taylor]: Taking taylor expansion of 0.5 in p 0.420 * [backup-simplify]: Simplify 0.5 into 0.5 0.420 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 0.420 * [taylor]: Taking taylor expansion of x in p 0.420 * [backup-simplify]: Simplify x into x 0.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 0.420 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 0.420 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.420 * [taylor]: Taking taylor expansion of x in p 0.420 * [backup-simplify]: Simplify x into x 0.420 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.420 * [taylor]: Taking taylor expansion of 4 in p 0.420 * [backup-simplify]: Simplify 4 into 4 0.420 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.420 * [taylor]: Taking taylor expansion of p in p 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.420 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.420 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.420 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 0.420 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 0.421 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 0.421 * [taylor]: Taking taylor expansion of 0.5 in x 0.421 * [backup-simplify]: Simplify 0.5 into 0.5 0.421 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 0.421 * [taylor]: Taking taylor expansion of 0.5 in x 0.421 * [backup-simplify]: Simplify 0.5 into 0.5 0.421 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 0.421 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.421 * [taylor]: Taking taylor expansion of 4 in x 0.421 * [backup-simplify]: Simplify 4 into 4 0.421 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.421 * [taylor]: Taking taylor expansion of p in x 0.421 * [backup-simplify]: Simplify p into p 0.421 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.421 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.422 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.422 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 0.422 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 0.422 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.422 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 0.423 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 0.423 * [taylor]: Taking taylor expansion of 0.5 in x 0.423 * [backup-simplify]: Simplify 0.5 into 0.5 0.423 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 0.423 * [taylor]: Taking taylor expansion of 0.5 in x 0.423 * [backup-simplify]: Simplify 0.5 into 0.5 0.423 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 0.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.423 * [taylor]: Taking taylor expansion of 4 in x 0.423 * [backup-simplify]: Simplify 4 into 4 0.423 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.423 * [taylor]: Taking taylor expansion of p in x 0.423 * [backup-simplify]: Simplify p into p 0.423 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.423 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.423 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.423 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 0.423 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 0.423 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.424 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 0.424 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 0.425 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.425 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.425 * [taylor]: Taking taylor expansion of 0.5 in p 0.425 * [backup-simplify]: Simplify 0.5 into 0.5 0.425 * [backup-simplify]: Simplify 0.5 into 0.5 0.425 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 0.426 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 0.426 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 0.426 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p 0.426 * [taylor]: Taking taylor expansion of 0.25 in p 0.426 * [backup-simplify]: Simplify 0.25 into 0.25 0.426 * [taylor]: Taking taylor expansion of (/ 1 p) in p 0.426 * [taylor]: Taking taylor expansion of p in p 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 0.429 * [backup-simplify]: Simplify (+ 1 0) into 1 0.429 * [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)))) 0.430 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 0.431 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [taylor]: Taking taylor expansion of 0 in p 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.435 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [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 0.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3)))) 0.439 * [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)))) 0.440 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3)))) 0.440 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (pow p 3)))) in p 0.440 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p 0.440 * [taylor]: Taking taylor expansion of 0.03125 in p 0.440 * [backup-simplify]: Simplify 0.03125 into 0.03125 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p 0.440 * [taylor]: Taking taylor expansion of (pow p 3) in p 0.440 * [taylor]: Taking taylor expansion of p in p 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- 0) into 0 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 0.5 into 0.5 0.452 * [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) 0.452 * [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 0.452 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p 0.452 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 0.452 * [taylor]: Taking taylor expansion of 0.5 in p 0.452 * [backup-simplify]: Simplify 0.5 into 0.5 0.452 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.452 * [taylor]: Taking taylor expansion of x in p 0.452 * [backup-simplify]: Simplify x into x 0.452 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 0.452 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.452 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.452 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.452 * [taylor]: Taking taylor expansion of 4 in p 0.452 * [backup-simplify]: Simplify 4 into 4 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.452 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.452 * [taylor]: Taking taylor expansion of p in p 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.454 * [taylor]: Taking taylor expansion of x in p 0.454 * [backup-simplify]: Simplify x into x 0.454 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.454 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.455 * [backup-simplify]: Simplify (* 4 1) into 4 0.455 * [backup-simplify]: Simplify (+ 4 0) into 4 0.456 * [backup-simplify]: Simplify (/ 1 4) into 1/4 0.456 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 0.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 0.461 * [taylor]: Taking taylor expansion of 0.5 in p 0.461 * [backup-simplify]: Simplify 0.5 into 0.5 0.461 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 0.462 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.462 * [taylor]: Taking taylor expansion of 0.5 in x 0.462 * [backup-simplify]: Simplify 0.5 into 0.5 0.462 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.462 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.462 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.462 * [taylor]: Taking taylor expansion of 4 in x 0.462 * [backup-simplify]: Simplify 4 into 4 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.463 * [taylor]: Taking taylor expansion of p in x 0.463 * [backup-simplify]: Simplify p into p 0.463 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.463 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [backup-simplify]: Simplify (+ 0 1) into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [backup-simplify]: Simplify (sqrt 1) into 1 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.470 * [taylor]: Taking taylor expansion of 0.5 in x 0.470 * [backup-simplify]: Simplify 0.5 into 0.5 0.470 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 0.470 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.470 * [taylor]: Taking taylor expansion of 0.5 in x 0.470 * [backup-simplify]: Simplify 0.5 into 0.5 0.470 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.471 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.471 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.471 * [taylor]: Taking taylor expansion of 4 in x 0.471 * [backup-simplify]: Simplify 4 into 4 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.471 * [taylor]: Taking taylor expansion of p in x 0.471 * [backup-simplify]: Simplify p into p 0.471 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.471 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ 0 1) into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [backup-simplify]: Simplify (sqrt 1) into 1 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.482 * [taylor]: Taking taylor expansion of 0.5 in x 0.482 * [backup-simplify]: Simplify 0.5 into 0.5 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.483 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 0.483 * [taylor]: Taking taylor expansion of 1.0 in p 0.483 * [backup-simplify]: Simplify 1.0 into 1.0 0.483 * [backup-simplify]: Simplify 1.0 into 1.0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [taylor]: Taking taylor expansion of 0 in p 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 0.491 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 0.493 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 0.494 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2)))) 0.494 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 0.494 * [taylor]: Taking taylor expansion of 1.0 in p 0.494 * [backup-simplify]: Simplify 1.0 into 1.0 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.494 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.494 * [taylor]: Taking taylor expansion of p in p 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (* 1 1) into 1 0.495 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [taylor]: Taking taylor expansion of 0 in p 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1.0 into 1.0 0.506 * [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)))))))) 0.506 * [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 0.506 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p 0.506 * [taylor]: Taking taylor expansion of 0.5 in p 0.506 * [backup-simplify]: Simplify 0.5 into 0.5 0.506 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 0.506 * [taylor]: Taking taylor expansion of 0.5 in p 0.506 * [backup-simplify]: Simplify 0.5 into 0.5 0.506 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in p 0.506 * [taylor]: Taking taylor expansion of x in p 0.506 * [backup-simplify]: Simplify x into x 0.506 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.506 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 0.506 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 0.506 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.506 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.506 * [taylor]: Taking taylor expansion of 4 in p 0.506 * [backup-simplify]: Simplify 4 into 4 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.506 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.506 * [taylor]: Taking taylor expansion of p in p 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.507 * [backup-simplify]: Simplify (/ 1 1) into 1 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.507 * [taylor]: Taking taylor expansion of x in p 0.507 * [backup-simplify]: Simplify x into x 0.507 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.507 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.507 * [backup-simplify]: Simplify (* 4 1) into 4 0.507 * [backup-simplify]: Simplify (+ 4 0) into 4 0.508 * [backup-simplify]: Simplify (/ 1 4) into 1/4 0.508 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 0.510 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 0.510 * [taylor]: Taking taylor expansion of 0.5 in x 0.510 * [backup-simplify]: Simplify 0.5 into 0.5 0.510 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.510 * [taylor]: Taking taylor expansion of 0.5 in x 0.510 * [backup-simplify]: Simplify 0.5 into 0.5 0.511 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.511 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.511 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.511 * [taylor]: Taking taylor expansion of 4 in x 0.511 * [backup-simplify]: Simplify 4 into 4 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.511 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.511 * [taylor]: Taking taylor expansion of p in x 0.511 * [backup-simplify]: Simplify p into p 0.511 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.511 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [backup-simplify]: Simplify (+ 0 1) into 1 0.512 * [backup-simplify]: Simplify (/ 1 1) into 1 0.512 * [backup-simplify]: Simplify (sqrt 1) into 1 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.514 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 0.514 * [taylor]: Taking taylor expansion of 0.5 in x 0.514 * [backup-simplify]: Simplify 0.5 into 0.5 0.514 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 0.514 * [taylor]: Taking taylor expansion of 0.5 in x 0.514 * [backup-simplify]: Simplify 0.5 into 0.5 0.514 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 0.515 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.515 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.515 * [taylor]: Taking taylor expansion of 4 in x 0.515 * [backup-simplify]: Simplify 4 into 4 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.515 * [taylor]: Taking taylor expansion of p in x 0.515 * [backup-simplify]: Simplify p into p 0.515 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.515 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [backup-simplify]: Simplify (+ 0 1) into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [backup-simplify]: Simplify (sqrt 1) into 1 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.519 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.519 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.520 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 0.520 * [taylor]: Taking taylor expansion of 0 in p 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.521 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.521 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [taylor]: Taking taylor expansion of 0 in p 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 0.525 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 0.527 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 0.527 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 0.527 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 0.527 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 0.527 * [taylor]: Taking taylor expansion of 1.0 in p 0.528 * [backup-simplify]: Simplify 1.0 into 1.0 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.528 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.528 * [taylor]: Taking taylor expansion of p in p 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1.0 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 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 1 2) 0.533 * [backup-simplify]: Simplify (* (* p p) 4) into (* 4 (pow p 2)) 0.533 * [approximate]: Taking taylor expansion of (* 4 (pow p 2)) in (p) around 0 0.533 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.533 * [taylor]: Taking taylor expansion of 4 in p 0.533 * [backup-simplify]: Simplify 4 into 4 0.533 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.533 * [taylor]: Taking taylor expansion of p in p 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.533 * [taylor]: Taking taylor expansion of 4 in p 0.533 * [backup-simplify]: Simplify 4 into 4 0.533 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.533 * [taylor]: Taking taylor expansion of p in p 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (* 1 1) into 1 0.534 * [backup-simplify]: Simplify (* 4 1) into 4 0.534 * [backup-simplify]: Simplify 4 into 4 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.538 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.543 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.550 * [backup-simplify]: Simplify (* (* (/ 1 p) (/ 1 p)) 4) into (/ 4 (pow p 2)) 0.550 * [approximate]: Taking taylor expansion of (/ 4 (pow p 2)) in (p) around 0 0.550 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p 0.550 * [taylor]: Taking taylor expansion of 4 in p 0.550 * [backup-simplify]: Simplify 4 into 4 0.550 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.550 * [taylor]: Taking taylor expansion of p in p 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (* 1 1) into 1 0.551 * [backup-simplify]: Simplify (/ 4 1) into 4 0.551 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p 0.551 * [taylor]: Taking taylor expansion of 4 in p 0.551 * [backup-simplify]: Simplify 4 into 4 0.551 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.551 * [taylor]: Taking taylor expansion of p in p 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (* 1 1) into 1 0.552 * [backup-simplify]: Simplify (/ 4 1) into 4 0.552 * [backup-simplify]: Simplify 4 into 4 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.567 * [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 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 p)) 2)) into (* 4 (pow p 2)) 0.567 * [backup-simplify]: Simplify (* (* (/ 1 (- p)) (/ 1 (- p))) 4) into (/ 4 (pow p 2)) 0.567 * [approximate]: Taking taylor expansion of (/ 4 (pow p 2)) in (p) around 0 0.568 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p 0.568 * [taylor]: Taking taylor expansion of 4 in p 0.568 * [backup-simplify]: Simplify 4 into 4 0.568 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.568 * [taylor]: Taking taylor expansion of p in p 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.569 * [backup-simplify]: Simplify (/ 4 1) into 4 0.569 * [taylor]: Taking taylor expansion of (/ 4 (pow p 2)) in p 0.569 * [taylor]: Taking taylor expansion of 4 in p 0.569 * [backup-simplify]: Simplify 4 into 4 0.569 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.569 * [taylor]: Taking taylor expansion of p in p 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (* 1 1) into 1 0.570 * [backup-simplify]: Simplify (/ 4 1) into 4 0.570 * [backup-simplify]: Simplify 4 into 4 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.585 * [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 0.585 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 (- p))) 2)) into (* 4 (pow p 2)) 0.586 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1) 0.586 * [backup-simplify]: Simplify (+ (* x x) (* (* p p) 4)) into (+ (pow x 2) (* 4 (pow p 2))) 0.586 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in (x p) around 0 0.586 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 0.586 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.586 * [taylor]: Taking taylor expansion of x in p 0.586 * [backup-simplify]: Simplify x into x 0.586 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.586 * [taylor]: Taking taylor expansion of 4 in p 0.586 * [backup-simplify]: Simplify 4 into 4 0.586 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.586 * [taylor]: Taking taylor expansion of p in p 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.586 * [taylor]: Taking taylor expansion of 4 in x 0.586 * [backup-simplify]: Simplify 4 into 4 0.586 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.586 * [taylor]: Taking taylor expansion of p in x 0.587 * [backup-simplify]: Simplify p into p 0.587 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 0.587 * [taylor]: Taking taylor expansion of 4 in x 0.587 * [backup-simplify]: Simplify 4 into 4 0.587 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.587 * [taylor]: Taking taylor expansion of p in x 0.587 * [backup-simplify]: Simplify p into p 0.587 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.587 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 0.587 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 0.588 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 0.588 * [taylor]: Taking taylor expansion of 4 in p 0.588 * [backup-simplify]: Simplify 4 into 4 0.588 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.588 * [taylor]: Taking taylor expansion of p in p 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.588 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [taylor]: Taking taylor expansion of 0 in p 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (* 1 1) into 1 0.590 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 0.591 * [backup-simplify]: Simplify (+ 1 0) into 1 0.591 * [taylor]: Taking taylor expansion of 1 in p 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify (* 4 1) into 4 0.591 * [backup-simplify]: Simplify 4 into 4 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.592 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 0.593 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [taylor]: Taking taylor expansion of 0 in p 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.595 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.596 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 p))))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2)))))) into 0 0.597 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [taylor]: Taking taylor expansion of 0 in p 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (+ (* 4 (pow (* p 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4 (pow p 2))) 0.598 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4)) into (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 0.598 * [approximate]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in (x p) around 0 0.598 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.598 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.598 * [taylor]: Taking taylor expansion of 4 in p 0.598 * [backup-simplify]: Simplify 4 into 4 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.598 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.598 * [taylor]: Taking taylor expansion of p in p 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (/ 1 1) into 1 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.599 * [taylor]: Taking taylor expansion of x in p 0.599 * [backup-simplify]: Simplify x into x 0.599 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.599 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.599 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.599 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.599 * [taylor]: Taking taylor expansion of 4 in x 0.599 * [backup-simplify]: Simplify 4 into 4 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.599 * [taylor]: Taking taylor expansion of p in x 0.599 * [backup-simplify]: Simplify p into p 0.599 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.599 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify 1 into 1 0.599 * [backup-simplify]: Simplify (* 1 1) into 1 0.600 * [backup-simplify]: Simplify (/ 1 1) into 1 0.600 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.600 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.600 * [taylor]: Taking taylor expansion of 4 in x 0.600 * [backup-simplify]: Simplify 4 into 4 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.600 * [taylor]: Taking taylor expansion of p in x 0.600 * [backup-simplify]: Simplify p into p 0.600 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.600 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (* 1 1) into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [backup-simplify]: Simplify (+ 0 1) into 1 0.601 * [taylor]: Taking taylor expansion of 1 in p 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) 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 (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.604 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.604 * [taylor]: Taking taylor expansion of 4 in p 0.604 * [backup-simplify]: Simplify 4 into 4 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.604 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.604 * [taylor]: Taking taylor expansion of p in p 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (* 1 1) into 1 0.604 * [backup-simplify]: Simplify (/ 1 1) into 1 0.606 * [backup-simplify]: Simplify (* 4 1) into 4 0.607 * [backup-simplify]: Simplify 4 into 4 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [taylor]: Taking taylor expansion of 0 in p 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [taylor]: Taking taylor expansion of 0 in p 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4 (pow (* (/ 1 (/ 1 p)) 1) 2))) into (+ (pow x 2) (* 4 (pow p 2))) 0.617 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4)) into (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 0.617 * [approximate]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in (x p) around 0 0.617 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 0.617 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.617 * [taylor]: Taking taylor expansion of 4 in p 0.617 * [backup-simplify]: Simplify 4 into 4 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.617 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.617 * [taylor]: Taking taylor expansion of p in p 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (* 1 1) into 1 0.618 * [backup-simplify]: Simplify (/ 1 1) into 1 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in p 0.618 * [taylor]: Taking taylor expansion of x in p 0.618 * [backup-simplify]: Simplify x into x 0.618 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.618 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.618 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.618 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.618 * [taylor]: Taking taylor expansion of 4 in x 0.618 * [backup-simplify]: Simplify 4 into 4 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.618 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.618 * [taylor]: Taking taylor expansion of p in x 0.618 * [backup-simplify]: Simplify p into p 0.618 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.618 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (* 1 1) into 1 0.619 * [backup-simplify]: Simplify (/ 1 1) into 1 0.619 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 0.619 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 0.619 * [taylor]: Taking taylor expansion of 4 in x 0.619 * [backup-simplify]: Simplify 4 into 4 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow p 2) in x 0.619 * [taylor]: Taking taylor expansion of p in x 0.619 * [backup-simplify]: Simplify p into p 0.619 * [backup-simplify]: Simplify (* p p) into (pow p 2) 0.619 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.620 * [backup-simplify]: Simplify (+ 0 1) into 1 0.621 * [taylor]: Taking taylor expansion of 1 in p 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.623 * [taylor]: Taking taylor expansion of 0 in p 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 0.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 0.626 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 0.626 * [taylor]: Taking taylor expansion of 4 in p 0.626 * [backup-simplify]: Simplify 4 into 4 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 0.626 * [taylor]: Taking taylor expansion of (pow p 2) in p 0.626 * [taylor]: Taking taylor expansion of p in p 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (* 1 1) into 1 0.627 * [backup-simplify]: Simplify (/ 1 1) into 1 0.627 * [backup-simplify]: Simplify (* 4 1) into 4 0.628 * [backup-simplify]: Simplify 4 into 4 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 0.629 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify (+ 0 0) into 0 0.632 * [taylor]: Taking taylor expansion of 0 in p 0.632 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))) (* 0 (/ 0 (pow p 2))))) into 0 0.636 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 (pow p 2))))) into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [taylor]: Taking taylor expansion of 0 in p 0.639 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4 (pow (* (/ 1 (/ 1 (- p))) 1) 2))) into (+ (pow x 2) (* 4 (pow p 2))) 0.643 * * * [progress]: simplifying candidates 0.643 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 0.643 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 0.643 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 0.643 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 16 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))> 0.644 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 0.644 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 27 / 72 ] simplifiying candidate #real (real->posit16 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))> 0.645 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 0.645 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 0.646 * * * * [progress]: [ 47 / 72 ] simplifiying candidate #real (real->posit16 (* (* p p) 4))))))) 0.5)))> 0.647 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* (* p p) 4))))))) 0.5)))> 0.647 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 0.647 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 0.648 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 0.648 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 0.648 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 0.648 * * * * [progress]: [ 66 / 72 ] simplifiying candidate # 0.648 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 0.648 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 0.648 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 0.648 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 0.648 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 0.648 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 0.649 * [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)) (* (exp (* x x)) (exp (* (* p p) 4))) (log (+ (* x x) (* (* p p) 4))) (exp (+ (* x x) (* (* p p) 4))) (* (cbrt (+ (* x x) (* (* p p) 4))) (cbrt (+ (* x x) (* (* p p) 4)))) (cbrt (+ (* x x) (* (* p p) 4))) (* (* (+ (* x x) (* (* p p) 4)) (+ (* x x) (* (* p p) 4))) (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4))) (sqrt (+ (* x x) (* (* p p) 4))) (+ (pow (* x x) 3) (pow (* (* p p) 4) 3)) (+ (* (* x x) (* x x)) (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* (* p p) 4)))) (- (* (* x x) (* x x)) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4)) (real->posit16 (+ (* 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)) (+ (pow x 2) (* 4 (pow p 2))) (+ (pow x 2) (* 4 (pow p 2))) (+ (pow x 2) (* 4 (pow p 2))) 0.651 * * [simplify]: iteration 1: (109 enodes) 0.707 * * [simplify]: iteration 2: (282 enodes) 0.922 * * [simplify]: iteration 3: (877 enodes) 2.409 * * [simplify]: Extracting #0: cost 56 inf + 0 2.410 * * [simplify]: Extracting #1: cost 252 inf + 47 2.412 * * [simplify]: Extracting #2: cost 590 inf + 4169 2.424 * * [simplify]: Extracting #3: cost 478 inf + 38690 2.442 * * [simplify]: Extracting #4: cost 253 inf + 86508 2.497 * * [simplify]: Extracting #5: cost 66 inf + 154516 2.581 * * [simplify]: Extracting #6: cost 2 inf + 182444 2.666 * * [simplify]: Extracting #7: cost 0 inf + 183375 2.717 * [simplify]: Simplified to: (log (sqrt (+ (* (* p p) 4) (* x x)))) (exp (sqrt (+ (* (* p p) 4) (* x x)))) (* (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (cbrt (sqrt (+ (* (* p p) 4) (* x x))))) (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (* (+ (* (* p p) 4) (* x x)) (sqrt (+ (* (* p p) 4) (* x x)))) (fabs (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) 1 (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* (* 64 (* (* p p) (* p p))) (* p p)) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* (* x x) (* x x)) (* (- (* (* p p) 4) (* x x)) (* (* p p) 4)))) (sqrt (* (+ (* x x) (* (* p p) 4)) (- (* x x) (* (* p p) 4)))) (sqrt (- (* x x) (* (* p p) 4))) 1/2 (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))) (exp (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x))) (log (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x))) (exp (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x))) (* (cbrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x))) (cbrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x)))) (cbrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x))) (* (* (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x)) (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x))) (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x))) (sqrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x))) (sqrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x))) (+ (* (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x) (* (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x) (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x))) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x) (- 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x)))) (* (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x)) (- (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x) 0.5)) (- (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x) 0.5) (real->posit16 (+ 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x))) (* (* p p) 4) (* (* p p) 4) (log (* (* p p) 4)) (log (* (* p p) 4)) (log (* (* p p) 4)) (exp (* (* p p) 4)) (* (* 64 (* (* p p) (* p p))) (* p p)) (* (* 64 (* (* p p) (* p p))) (* p p)) (* (cbrt (* (* p p) 4)) (cbrt (* (* p p) 4))) (cbrt (* (* p p) 4)) (* (* 64 (* (* p p) (* p p))) (* p p)) (sqrt (* (* p p) 4)) (sqrt (* (* p p) 4)) (* p 2) (* p 2) (* (* p (cbrt 4)) (* p (cbrt 4))) (* 2 (* p p)) (* p p) (* 4 p) (real->posit16 (* (* p p) 4)) (exp (+ (* (* p p) 4) (* x x))) (log (+ (* (* p p) 4) (* x x))) (exp (+ (* (* p p) 4) (* x x))) (* (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (+ (* (* p p) 4) (* x x))) (* (+ (* (* p p) 4) (* x x)) (* (+ (* (* p p) 4) (* x x)) (+ (* (* p p) 4) (* x x)))) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* 64 (* (* p p) (* p p))) (* p p)) (* (* x (* x x)) (* x (* x x)))) (+ (* (* x x) (* x x)) (* (- (* (* p p) 4) (* x x)) (* (* p p) 4))) (* (+ (* x x) (* (* p p) 4)) (- (* x x) (* (* p p) 4))) (- (* x x) (* (* p p) 4)) (real->posit16 (+ (* (* p p) 4) (* x x))) (* p 2) x (- x) 0.5 1.0 0 (* (* p p) 4) (* (* p p) 4) (* (* p p) 4) (+ (* (* p p) 4) (* x x)) (+ (* (* p p) 4) (* x x)) (+ (* (* p p) 4) (* x x)) 2.722 * * * [progress]: adding candidates to table 3.494 * * [progress]: iteration 2 / 4 3.494 * * * [progress]: picking best candidate 3.527 * * * * [pick]: Picked # 3.527 * * * [progress]: localizing error 3.569 * * * [progress]: generating rewritten candidates 3.569 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 2 2) 3.575 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1 2 2) 3.581 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 2 2) 3.587 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 3.608 * * * [progress]: generating series expansions 3.608 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 2 2) 3.609 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 3.609 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 3.609 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 3.609 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 3.609 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.609 * [taylor]: Taking taylor expansion of x in p 3.609 * [backup-simplify]: Simplify x into x 3.609 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 3.609 * [taylor]: Taking taylor expansion of 4 in p 3.609 * [backup-simplify]: Simplify 4 into 4 3.609 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.609 * [taylor]: Taking taylor expansion of p in p 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.609 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.609 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.609 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.609 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.610 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.610 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 3.610 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 3.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.610 * [taylor]: Taking taylor expansion of x in x 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 1 into 1 3.610 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 3.610 * [taylor]: Taking taylor expansion of 4 in x 3.610 * [backup-simplify]: Simplify 4 into 4 3.610 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.610 * [taylor]: Taking taylor expansion of p in x 3.610 * [backup-simplify]: Simplify p into p 3.610 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.610 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.610 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 3.610 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 3.610 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.611 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 3.611 * [backup-simplify]: Simplify (+ 0 0) into 0 3.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 3.611 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 3.611 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 3.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.611 * [taylor]: Taking taylor expansion of x in x 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 1 into 1 3.611 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 3.611 * [taylor]: Taking taylor expansion of 4 in x 3.611 * [backup-simplify]: Simplify 4 into 4 3.611 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.611 * [taylor]: Taking taylor expansion of p in x 3.611 * [backup-simplify]: Simplify p into p 3.611 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.611 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.611 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 3.611 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 3.611 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.612 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 3.612 * [backup-simplify]: Simplify (+ 0 0) into 0 3.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 3.612 * [taylor]: Taking taylor expansion of (* 2 p) in p 3.612 * [taylor]: Taking taylor expansion of 2 in p 3.612 * [backup-simplify]: Simplify 2 into 2 3.612 * [taylor]: Taking taylor expansion of p in p 3.612 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify 1 into 1 3.612 * [backup-simplify]: Simplify (* 2 0) into 0 3.612 * [backup-simplify]: Simplify 0 into 0 3.613 * [taylor]: Taking taylor expansion of 0 in p 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.613 * [backup-simplify]: Simplify 2 into 2 3.613 * [backup-simplify]: Simplify (* 1 1) into 1 3.614 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 3.614 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 3.614 * [backup-simplify]: Simplify (+ 1 0) into 1 3.615 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 3.615 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 3.615 * [taylor]: Taking taylor expansion of 1/4 in p 3.615 * [backup-simplify]: Simplify 1/4 into 1/4 3.615 * [taylor]: Taking taylor expansion of p in p 3.615 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify 1 into 1 3.615 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 3.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.616 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.617 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 3.618 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 3.618 * [backup-simplify]: Simplify (+ 0 0) into 0 3.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 3.619 * [taylor]: Taking taylor expansion of 0 in p 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 3.620 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 3.620 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 3.620 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.620 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.620 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.620 * [taylor]: Taking taylor expansion of 4 in p 3.620 * [backup-simplify]: Simplify 4 into 4 3.620 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.620 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.620 * [taylor]: Taking taylor expansion of p in p 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 1 into 1 3.620 * [backup-simplify]: Simplify (* 1 1) into 1 3.620 * [backup-simplify]: Simplify (/ 1 1) into 1 3.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.620 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.620 * [taylor]: Taking taylor expansion of x in p 3.620 * [backup-simplify]: Simplify x into x 3.620 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.621 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.621 * [backup-simplify]: Simplify (* 4 1) into 4 3.621 * [backup-simplify]: Simplify (+ 4 0) into 4 3.621 * [backup-simplify]: Simplify (sqrt 4) into 2 3.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.623 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.623 * [backup-simplify]: Simplify (+ 0 0) into 0 3.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 3.624 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.624 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.624 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.624 * [taylor]: Taking taylor expansion of 4 in x 3.624 * [backup-simplify]: Simplify 4 into 4 3.624 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.624 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.624 * [taylor]: Taking taylor expansion of p in x 3.624 * [backup-simplify]: Simplify p into p 3.624 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.624 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.624 * [taylor]: Taking taylor expansion of x in x 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify 1 into 1 3.624 * [backup-simplify]: Simplify (* 1 1) into 1 3.625 * [backup-simplify]: Simplify (/ 1 1) into 1 3.625 * [backup-simplify]: Simplify (+ 0 1) into 1 3.625 * [backup-simplify]: Simplify (sqrt 1) into 1 3.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.626 * [backup-simplify]: Simplify (+ 0 0) into 0 3.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.627 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.627 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.627 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.627 * [taylor]: Taking taylor expansion of 4 in x 3.627 * [backup-simplify]: Simplify 4 into 4 3.627 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.627 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.627 * [taylor]: Taking taylor expansion of p in x 3.627 * [backup-simplify]: Simplify p into p 3.627 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.627 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.627 * [taylor]: Taking taylor expansion of x in x 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [backup-simplify]: Simplify (* 1 1) into 1 3.628 * [backup-simplify]: Simplify (/ 1 1) into 1 3.628 * [backup-simplify]: Simplify (+ 0 1) into 1 3.628 * [backup-simplify]: Simplify (sqrt 1) into 1 3.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.629 * [backup-simplify]: Simplify (+ 0 0) into 0 3.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.630 * [taylor]: Taking taylor expansion of 1 in p 3.630 * [backup-simplify]: Simplify 1 into 1 3.630 * [taylor]: Taking taylor expansion of 0 in p 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify 1 into 1 3.630 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.635 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 3.635 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 3.635 * [taylor]: Taking taylor expansion of 2 in p 3.635 * [backup-simplify]: Simplify 2 into 2 3.635 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.635 * [taylor]: Taking taylor expansion of p in p 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.636 * [backup-simplify]: Simplify (* 1 1) into 1 3.636 * [backup-simplify]: Simplify (/ 2 1) into 2 3.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 3.637 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 3.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.639 * [backup-simplify]: Simplify (+ 0 0) into 0 3.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 3.639 * [taylor]: Taking taylor expansion of 0 in p 3.639 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.641 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 3.641 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 3.641 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.641 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.641 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.641 * [taylor]: Taking taylor expansion of 4 in p 3.641 * [backup-simplify]: Simplify 4 into 4 3.641 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.641 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.641 * [taylor]: Taking taylor expansion of p in p 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [backup-simplify]: Simplify (* 1 1) into 1 3.642 * [backup-simplify]: Simplify (/ 1 1) into 1 3.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.642 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.642 * [taylor]: Taking taylor expansion of x in p 3.642 * [backup-simplify]: Simplify x into x 3.642 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.642 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.642 * [backup-simplify]: Simplify (* 4 1) into 4 3.642 * [backup-simplify]: Simplify (+ 4 0) into 4 3.643 * [backup-simplify]: Simplify (sqrt 4) into 2 3.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.644 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.644 * [backup-simplify]: Simplify (+ 0 0) into 0 3.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 3.645 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.645 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.645 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.645 * [taylor]: Taking taylor expansion of 4 in x 3.645 * [backup-simplify]: Simplify 4 into 4 3.645 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.645 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.645 * [taylor]: Taking taylor expansion of p in x 3.645 * [backup-simplify]: Simplify p into p 3.645 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.645 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.645 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.645 * [taylor]: Taking taylor expansion of x in x 3.645 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify 1 into 1 3.645 * [backup-simplify]: Simplify (* 1 1) into 1 3.645 * [backup-simplify]: Simplify (/ 1 1) into 1 3.646 * [backup-simplify]: Simplify (+ 0 1) into 1 3.646 * [backup-simplify]: Simplify (sqrt 1) into 1 3.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (+ 0 0) into 0 3.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.647 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.647 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.647 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.647 * [taylor]: Taking taylor expansion of 4 in x 3.647 * [backup-simplify]: Simplify 4 into 4 3.647 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.647 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.647 * [taylor]: Taking taylor expansion of p in x 3.648 * [backup-simplify]: Simplify p into p 3.648 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.648 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.648 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.648 * [taylor]: Taking taylor expansion of x in x 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 1 into 1 3.648 * [backup-simplify]: Simplify (* 1 1) into 1 3.648 * [backup-simplify]: Simplify (/ 1 1) into 1 3.648 * [backup-simplify]: Simplify (+ 0 1) into 1 3.649 * [backup-simplify]: Simplify (sqrt 1) into 1 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (+ 0 0) into 0 3.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.650 * [taylor]: Taking taylor expansion of 1 in p 3.650 * [backup-simplify]: Simplify 1 into 1 3.650 * [taylor]: Taking taylor expansion of 0 in p 3.650 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify 1 into 1 3.650 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.653 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 3.653 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 3.653 * [taylor]: Taking taylor expansion of 2 in p 3.653 * [backup-simplify]: Simplify 2 into 2 3.653 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.653 * [taylor]: Taking taylor expansion of p in p 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 1 into 1 3.653 * [backup-simplify]: Simplify (* 1 1) into 1 3.653 * [backup-simplify]: Simplify (/ 2 1) into 2 3.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 3.655 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 3.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.656 * [backup-simplify]: Simplify (+ 0 0) into 0 3.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 3.657 * [taylor]: Taking taylor expansion of 0 in p 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.658 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1 2 2) 3.658 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 3.658 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 3.658 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 3.658 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 3.658 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.658 * [taylor]: Taking taylor expansion of x in p 3.658 * [backup-simplify]: Simplify x into x 3.658 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 3.658 * [taylor]: Taking taylor expansion of 4 in p 3.659 * [backup-simplify]: Simplify 4 into 4 3.659 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.659 * [taylor]: Taking taylor expansion of p in p 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.659 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.659 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.659 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.659 * [backup-simplify]: Simplify (+ 0 0) into 0 3.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.659 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 3.659 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 3.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.659 * [taylor]: Taking taylor expansion of x in x 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 3.659 * [taylor]: Taking taylor expansion of 4 in x 3.659 * [backup-simplify]: Simplify 4 into 4 3.659 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.659 * [taylor]: Taking taylor expansion of p in x 3.659 * [backup-simplify]: Simplify p into p 3.659 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.659 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.660 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 3.660 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 3.660 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.660 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 3.660 * [backup-simplify]: Simplify (+ 0 0) into 0 3.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 3.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 3.660 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 3.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.660 * [taylor]: Taking taylor expansion of x in x 3.660 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify 1 into 1 3.660 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 3.660 * [taylor]: Taking taylor expansion of 4 in x 3.661 * [backup-simplify]: Simplify 4 into 4 3.661 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.661 * [taylor]: Taking taylor expansion of p in x 3.661 * [backup-simplify]: Simplify p into p 3.661 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.661 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.661 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 3.661 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 3.661 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.661 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 3.661 * [backup-simplify]: Simplify (+ 0 0) into 0 3.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 3.662 * [taylor]: Taking taylor expansion of (* 2 p) in p 3.662 * [taylor]: Taking taylor expansion of 2 in p 3.662 * [backup-simplify]: Simplify 2 into 2 3.662 * [taylor]: Taking taylor expansion of p in p 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 1 into 1 3.662 * [backup-simplify]: Simplify (* 2 0) into 0 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [taylor]: Taking taylor expansion of 0 in p 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.663 * [backup-simplify]: Simplify 2 into 2 3.663 * [backup-simplify]: Simplify (* 1 1) into 1 3.663 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 3.664 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 3.664 * [backup-simplify]: Simplify (+ 1 0) into 1 3.664 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 3.664 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 3.664 * [taylor]: Taking taylor expansion of 1/4 in p 3.665 * [backup-simplify]: Simplify 1/4 into 1/4 3.665 * [taylor]: Taking taylor expansion of p in p 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 3.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.667 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 3.668 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 3.668 * [backup-simplify]: Simplify (+ 0 0) into 0 3.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 3.668 * [taylor]: Taking taylor expansion of 0 in p 3.668 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 3.669 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 3.669 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 3.669 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.669 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.669 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.669 * [taylor]: Taking taylor expansion of 4 in p 3.669 * [backup-simplify]: Simplify 4 into 4 3.669 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.669 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.669 * [taylor]: Taking taylor expansion of p in p 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (* 1 1) into 1 3.670 * [backup-simplify]: Simplify (/ 1 1) into 1 3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.670 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.670 * [taylor]: Taking taylor expansion of x in p 3.670 * [backup-simplify]: Simplify x into x 3.670 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.670 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.670 * [backup-simplify]: Simplify (* 4 1) into 4 3.670 * [backup-simplify]: Simplify (+ 4 0) into 4 3.671 * [backup-simplify]: Simplify (sqrt 4) into 2 3.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.672 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.672 * [backup-simplify]: Simplify (+ 0 0) into 0 3.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 3.673 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.673 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.673 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.673 * [taylor]: Taking taylor expansion of 4 in x 3.673 * [backup-simplify]: Simplify 4 into 4 3.673 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.673 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.673 * [taylor]: Taking taylor expansion of p in x 3.673 * [backup-simplify]: Simplify p into p 3.673 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.673 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.673 * [taylor]: Taking taylor expansion of x in x 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 1 into 1 3.674 * [backup-simplify]: Simplify (* 1 1) into 1 3.674 * [backup-simplify]: Simplify (/ 1 1) into 1 3.674 * [backup-simplify]: Simplify (+ 0 1) into 1 3.674 * [backup-simplify]: Simplify (sqrt 1) into 1 3.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.676 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.676 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.676 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.676 * [taylor]: Taking taylor expansion of 4 in x 3.676 * [backup-simplify]: Simplify 4 into 4 3.676 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.676 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.676 * [taylor]: Taking taylor expansion of p in x 3.676 * [backup-simplify]: Simplify p into p 3.676 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.676 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.676 * [taylor]: Taking taylor expansion of x in x 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 1 into 1 3.676 * [backup-simplify]: Simplify (* 1 1) into 1 3.677 * [backup-simplify]: Simplify (/ 1 1) into 1 3.677 * [backup-simplify]: Simplify (+ 0 1) into 1 3.677 * [backup-simplify]: Simplify (sqrt 1) into 1 3.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify (+ 0 0) into 0 3.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.679 * [taylor]: Taking taylor expansion of 1 in p 3.679 * [backup-simplify]: Simplify 1 into 1 3.679 * [taylor]: Taking taylor expansion of 0 in p 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.680 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.681 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 3.681 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 3.681 * [taylor]: Taking taylor expansion of 2 in p 3.681 * [backup-simplify]: Simplify 2 into 2 3.681 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.681 * [taylor]: Taking taylor expansion of p in p 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [backup-simplify]: Simplify (* 1 1) into 1 3.682 * [backup-simplify]: Simplify (/ 2 1) into 2 3.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 3.683 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 3.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.685 * [backup-simplify]: Simplify (+ 0 0) into 0 3.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 3.685 * [taylor]: Taking taylor expansion of 0 in p 3.685 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.687 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 3.687 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 3.687 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.687 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.687 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.687 * [taylor]: Taking taylor expansion of 4 in p 3.687 * [backup-simplify]: Simplify 4 into 4 3.687 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.687 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.687 * [taylor]: Taking taylor expansion of p in p 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (* 1 1) into 1 3.687 * [backup-simplify]: Simplify (/ 1 1) into 1 3.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.687 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.687 * [taylor]: Taking taylor expansion of x in p 3.687 * [backup-simplify]: Simplify x into x 3.688 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.688 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.688 * [backup-simplify]: Simplify (* 4 1) into 4 3.688 * [backup-simplify]: Simplify (+ 4 0) into 4 3.688 * [backup-simplify]: Simplify (sqrt 4) into 2 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 3.690 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.690 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.690 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.690 * [taylor]: Taking taylor expansion of 4 in x 3.690 * [backup-simplify]: Simplify 4 into 4 3.690 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.691 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.691 * [taylor]: Taking taylor expansion of p in x 3.691 * [backup-simplify]: Simplify p into p 3.691 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.691 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.691 * [taylor]: Taking taylor expansion of x in x 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [backup-simplify]: Simplify (* 1 1) into 1 3.691 * [backup-simplify]: Simplify (/ 1 1) into 1 3.692 * [backup-simplify]: Simplify (+ 0 1) into 1 3.692 * [backup-simplify]: Simplify (sqrt 1) into 1 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify (+ 0 0) into 0 3.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.693 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.693 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.693 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.693 * [taylor]: Taking taylor expansion of 4 in x 3.693 * [backup-simplify]: Simplify 4 into 4 3.693 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.693 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.693 * [taylor]: Taking taylor expansion of p in x 3.693 * [backup-simplify]: Simplify p into p 3.693 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.694 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.694 * [taylor]: Taking taylor expansion of x in x 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 1 into 1 3.694 * [backup-simplify]: Simplify (* 1 1) into 1 3.694 * [backup-simplify]: Simplify (/ 1 1) into 1 3.694 * [backup-simplify]: Simplify (+ 0 1) into 1 3.695 * [backup-simplify]: Simplify (sqrt 1) into 1 3.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.696 * [taylor]: Taking taylor expansion of 1 in p 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [taylor]: Taking taylor expansion of 0 in p 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.698 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 3.698 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 3.698 * [taylor]: Taking taylor expansion of 2 in p 3.698 * [backup-simplify]: Simplify 2 into 2 3.699 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.699 * [taylor]: Taking taylor expansion of p in p 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify (* 1 1) into 1 3.699 * [backup-simplify]: Simplify (/ 2 1) into 2 3.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 3.701 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 3.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.702 * [backup-simplify]: Simplify (+ 0 0) into 0 3.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 3.702 * [taylor]: Taking taylor expansion of 0 in p 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.704 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2 2) 3.704 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* (* p p) 4))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 3.704 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (x p) around 0 3.704 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 3.704 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 3.704 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.704 * [taylor]: Taking taylor expansion of x in p 3.704 * [backup-simplify]: Simplify x into x 3.704 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 3.704 * [taylor]: Taking taylor expansion of 4 in p 3.704 * [backup-simplify]: Simplify 4 into 4 3.704 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.704 * [taylor]: Taking taylor expansion of p in p 3.704 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify 1 into 1 3.704 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.704 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.704 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.704 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.705 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 3.705 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 3.705 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 3.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.705 * [taylor]: Taking taylor expansion of x in x 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.705 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 3.705 * [taylor]: Taking taylor expansion of 4 in x 3.705 * [backup-simplify]: Simplify 4 into 4 3.705 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.705 * [taylor]: Taking taylor expansion of p in x 3.705 * [backup-simplify]: Simplify p into p 3.705 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.705 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.705 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 3.705 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 3.705 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.706 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 3.706 * [backup-simplify]: Simplify (+ 0 0) into 0 3.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 3.706 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 3.706 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 3.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.706 * [taylor]: Taking taylor expansion of x in x 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 3.706 * [taylor]: Taking taylor expansion of 4 in x 3.706 * [backup-simplify]: Simplify 4 into 4 3.706 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.706 * [taylor]: Taking taylor expansion of p in x 3.706 * [backup-simplify]: Simplify p into p 3.706 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.706 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.706 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 3.706 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 3.706 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.707 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 3.707 * [backup-simplify]: Simplify (+ 0 0) into 0 3.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 3.707 * [taylor]: Taking taylor expansion of (* 2 p) in p 3.707 * [taylor]: Taking taylor expansion of 2 in p 3.707 * [backup-simplify]: Simplify 2 into 2 3.707 * [taylor]: Taking taylor expansion of p in p 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 1 into 1 3.708 * [backup-simplify]: Simplify (* 2 0) into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [taylor]: Taking taylor expansion of 0 in p 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.708 * [backup-simplify]: Simplify 2 into 2 3.709 * [backup-simplify]: Simplify (* 1 1) into 1 3.709 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 3.709 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 3.710 * [backup-simplify]: Simplify (+ 1 0) into 1 3.710 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 2 p))) into (/ 1/4 p) 3.710 * [taylor]: Taking taylor expansion of (/ 1/4 p) in p 3.710 * [taylor]: Taking taylor expansion of 1/4 in p 3.710 * [backup-simplify]: Simplify 1/4 into 1/4 3.710 * [taylor]: Taking taylor expansion of p in p 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 3.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.713 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 3.714 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 3.714 * [backup-simplify]: Simplify (+ 0 0) into 0 3.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 p))))) (* 2 (* 2 p))) into 0 3.714 * [taylor]: Taking taylor expansion of 0 in p 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify (* 2 (* p 1)) into (* 2 p) 3.715 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 p) (/ 1 p)) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 3.715 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 3.715 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.715 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.715 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.715 * [taylor]: Taking taylor expansion of 4 in p 3.715 * [backup-simplify]: Simplify 4 into 4 3.715 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.715 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.716 * [taylor]: Taking taylor expansion of p in p 3.716 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify 1 into 1 3.716 * [backup-simplify]: Simplify (* 1 1) into 1 3.716 * [backup-simplify]: Simplify (/ 1 1) into 1 3.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.716 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.716 * [taylor]: Taking taylor expansion of x in p 3.716 * [backup-simplify]: Simplify x into x 3.716 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.716 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.717 * [backup-simplify]: Simplify (* 4 1) into 4 3.717 * [backup-simplify]: Simplify (+ 4 0) into 4 3.717 * [backup-simplify]: Simplify (sqrt 4) into 2 3.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.719 * [backup-simplify]: Simplify (+ 0 0) into 0 3.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 3.719 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.719 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.719 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.719 * [taylor]: Taking taylor expansion of 4 in x 3.719 * [backup-simplify]: Simplify 4 into 4 3.719 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.719 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.719 * [taylor]: Taking taylor expansion of p in x 3.719 * [backup-simplify]: Simplify p into p 3.719 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.719 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.719 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.719 * [taylor]: Taking taylor expansion of x in x 3.719 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify 1 into 1 3.720 * [backup-simplify]: Simplify (* 1 1) into 1 3.720 * [backup-simplify]: Simplify (/ 1 1) into 1 3.720 * [backup-simplify]: Simplify (+ 0 1) into 1 3.721 * [backup-simplify]: Simplify (sqrt 1) into 1 3.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (+ 0 0) into 0 3.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.722 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.722 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.722 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.722 * [taylor]: Taking taylor expansion of 4 in x 3.722 * [backup-simplify]: Simplify 4 into 4 3.722 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.722 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.722 * [taylor]: Taking taylor expansion of p in x 3.722 * [backup-simplify]: Simplify p into p 3.722 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.723 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.723 * [taylor]: Taking taylor expansion of x in x 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (* 1 1) into 1 3.723 * [backup-simplify]: Simplify (/ 1 1) into 1 3.723 * [backup-simplify]: Simplify (+ 0 1) into 1 3.724 * [backup-simplify]: Simplify (sqrt 1) into 1 3.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (+ 0 0) into 0 3.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.726 * [taylor]: Taking taylor expansion of 1 in p 3.726 * [backup-simplify]: Simplify 1 into 1 3.726 * [taylor]: Taking taylor expansion of 0 in p 3.726 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify 1 into 1 3.726 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.733 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.734 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 3.734 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 3.734 * [taylor]: Taking taylor expansion of 2 in p 3.734 * [backup-simplify]: Simplify 2 into 2 3.734 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.734 * [taylor]: Taking taylor expansion of p in p 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 1 into 1 3.735 * [backup-simplify]: Simplify (* 1 1) into 1 3.735 * [backup-simplify]: Simplify (/ 2 1) into 2 3.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 3.737 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 3.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.738 * [backup-simplify]: Simplify (+ 0 0) into 0 3.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 3.739 * [taylor]: Taking taylor expansion of 0 in p 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 3.741 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- p)) (/ 1 (- p))) 4))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 3.741 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (x p) around 0 3.741 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.741 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.741 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.741 * [taylor]: Taking taylor expansion of 4 in p 3.741 * [backup-simplify]: Simplify 4 into 4 3.741 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.741 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.741 * [taylor]: Taking taylor expansion of p in p 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.742 * [backup-simplify]: Simplify (* 1 1) into 1 3.742 * [backup-simplify]: Simplify (/ 1 1) into 1 3.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.742 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.742 * [taylor]: Taking taylor expansion of x in p 3.742 * [backup-simplify]: Simplify x into x 3.742 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.742 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.743 * [backup-simplify]: Simplify (* 4 1) into 4 3.743 * [backup-simplify]: Simplify (+ 4 0) into 4 3.744 * [backup-simplify]: Simplify (sqrt 4) into 2 3.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.747 * [backup-simplify]: Simplify (+ 0 0) into 0 3.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 3.748 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.748 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.748 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.748 * [taylor]: Taking taylor expansion of 4 in x 3.748 * [backup-simplify]: Simplify 4 into 4 3.748 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.748 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.748 * [taylor]: Taking taylor expansion of p in x 3.748 * [backup-simplify]: Simplify p into p 3.748 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.748 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.748 * [taylor]: Taking taylor expansion of x in x 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify 1 into 1 3.748 * [backup-simplify]: Simplify (* 1 1) into 1 3.749 * [backup-simplify]: Simplify (/ 1 1) into 1 3.749 * [backup-simplify]: Simplify (+ 0 1) into 1 3.749 * [backup-simplify]: Simplify (sqrt 1) into 1 3.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.750 * [backup-simplify]: Simplify (+ 0 0) into 0 3.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.751 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.751 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.751 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.751 * [taylor]: Taking taylor expansion of 4 in x 3.751 * [backup-simplify]: Simplify 4 into 4 3.751 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.751 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.751 * [taylor]: Taking taylor expansion of p in x 3.751 * [backup-simplify]: Simplify p into p 3.751 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.751 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.751 * [taylor]: Taking taylor expansion of x in x 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 1 into 1 3.752 * [backup-simplify]: Simplify (* 1 1) into 1 3.752 * [backup-simplify]: Simplify (/ 1 1) into 1 3.752 * [backup-simplify]: Simplify (+ 0 1) into 1 3.753 * [backup-simplify]: Simplify (sqrt 1) into 1 3.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.754 * [backup-simplify]: Simplify (+ 0 0) into 0 3.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.754 * [taylor]: Taking taylor expansion of 1 in p 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [taylor]: Taking taylor expansion of 0 in p 3.754 * [backup-simplify]: Simplify 0 into 0 3.754 * [backup-simplify]: Simplify 1 into 1 3.754 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.756 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.757 * [backup-simplify]: Simplify (/ (- (* 4 (/ 1 (pow p 2))) (pow 0 2) (+)) (* 2 1)) into (/ 2 (pow p 2)) 3.757 * [taylor]: Taking taylor expansion of (/ 2 (pow p 2)) in p 3.757 * [taylor]: Taking taylor expansion of 2 in p 3.757 * [backup-simplify]: Simplify 2 into 2 3.757 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.757 * [taylor]: Taking taylor expansion of p in p 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify 1 into 1 3.757 * [backup-simplify]: Simplify (* 1 1) into 1 3.757 * [backup-simplify]: Simplify (/ 2 1) into 2 3.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 3.759 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 3.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 (pow p 2)))))) (* 2 1)) into 0 3.761 * [taylor]: Taking taylor expansion of 0 in p 3.761 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 3.763 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 3.763 * [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)))))))) 3.763 * [approximate]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in (x p) around 0 3.763 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in p 3.763 * [taylor]: Taking taylor expansion of 0.5 in p 3.763 * [backup-simplify]: Simplify 0.5 into 0.5 3.763 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in p 3.763 * [taylor]: Taking taylor expansion of 0.5 in p 3.763 * [backup-simplify]: Simplify 0.5 into 0.5 3.763 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in p 3.763 * [taylor]: Taking taylor expansion of x in p 3.763 * [backup-simplify]: Simplify x into x 3.763 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in p 3.763 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in p 3.763 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 3.763 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.763 * [taylor]: Taking taylor expansion of x in p 3.763 * [backup-simplify]: Simplify x into x 3.763 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 3.763 * [taylor]: Taking taylor expansion of 4 in p 3.763 * [backup-simplify]: Simplify 4 into 4 3.763 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.763 * [taylor]: Taking taylor expansion of p in p 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.763 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.764 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.764 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 3.764 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.764 * [backup-simplify]: Simplify (+ 0 0) into 0 3.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 3.764 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 3.764 * [taylor]: Taking taylor expansion of 0.5 in x 3.764 * [backup-simplify]: Simplify 0.5 into 0.5 3.764 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 3.764 * [taylor]: Taking taylor expansion of 0.5 in x 3.764 * [backup-simplify]: Simplify 0.5 into 0.5 3.764 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 3.764 * [taylor]: Taking taylor expansion of x in x 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 3.764 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 3.765 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 3.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.765 * [taylor]: Taking taylor expansion of x in x 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 3.765 * [taylor]: Taking taylor expansion of 4 in x 3.765 * [backup-simplify]: Simplify 4 into 4 3.765 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.765 * [taylor]: Taking taylor expansion of p in x 3.765 * [backup-simplify]: Simplify p into p 3.765 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.765 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.765 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 3.765 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 3.765 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 3.765 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.766 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 3.766 * [backup-simplify]: Simplify (+ 0 0) into 0 3.766 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 3.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 3.766 * [taylor]: Taking taylor expansion of (+ 0.5 (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))))) in x 3.766 * [taylor]: Taking taylor expansion of 0.5 in x 3.766 * [backup-simplify]: Simplify 0.5 into 0.5 3.766 * [taylor]: Taking taylor expansion of (* 0.5 (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))))) in x 3.766 * [taylor]: Taking taylor expansion of 0.5 in x 3.766 * [backup-simplify]: Simplify 0.5 into 0.5 3.766 * [taylor]: Taking taylor expansion of (* x (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2)))))) in x 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (* 4 (pow p 2))))) in x 3.766 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (* 4 (pow p 2)))) in x 3.766 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 3.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 3.766 * [taylor]: Taking taylor expansion of 4 in x 3.766 * [backup-simplify]: Simplify 4 into 4 3.766 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.766 * [taylor]: Taking taylor expansion of p in x 3.766 * [backup-simplify]: Simplify p into p 3.767 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.767 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 3.767 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 3.767 * [backup-simplify]: Simplify (/ 1 (* 4 (pow p 2))) into (/ 1/4 (pow p 2)) 3.767 * [backup-simplify]: Simplify (sqrt (/ 1/4 (pow p 2))) into (/ 1/2 p) 3.767 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.767 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 3.768 * [backup-simplify]: Simplify (+ 0 0) into 0 3.768 * [backup-simplify]: Simplify (- (+ (* (/ 1/4 (pow p 2)) (/ 0 (* 4 (pow p 2)))))) into 0 3.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/4 (pow p 2))))) into 0 3.768 * [backup-simplify]: Simplify (* 0 (/ 1/2 p)) into 0 3.768 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.769 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 3.769 * [taylor]: Taking taylor expansion of 0.5 in p 3.769 * [backup-simplify]: Simplify 0.5 into 0.5 3.769 * [backup-simplify]: Simplify 0.5 into 0.5 3.769 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1/2 p))) into (* 1/2 (/ 1 p)) 3.770 * [backup-simplify]: Simplify (+ (* 0.5 (* 1/2 (/ 1 p))) (* 0 0)) into (* 0.25 (/ 1 p)) 3.770 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 p))) into (* 0.25 (/ 1 p)) 3.770 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 p)) in p 3.770 * [taylor]: Taking taylor expansion of 0.25 in p 3.770 * [backup-simplify]: Simplify 0.25 into 0.25 3.770 * [taylor]: Taking taylor expansion of (/ 1 p) in p 3.770 * [taylor]: Taking taylor expansion of p in p 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify 1 into 1 3.770 * [backup-simplify]: Simplify (/ 1 1) into 1 3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify (* 1 1) into 1 3.772 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (* 0 p))) into 0 3.772 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow p 2)))) into 0 3.773 * [backup-simplify]: Simplify (+ 1 0) into 1 3.773 * [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)))) 3.774 * [backup-simplify]: Simplify (/ (- (- (* 1/16 (/ 1 (pow p 4)))) (pow 0 2) (+)) (* 2 (/ 1/2 p))) into (/ -1/16 (pow p 3)) 3.774 * [backup-simplify]: Simplify (+ (* 0 (/ -1/16 (pow p 3))) (+ (* 1 0) (* 0 (/ 1/2 p)))) into 0 3.775 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (* 1/2 (/ 1 p))) (* 0 0))) into 0 3.775 * [backup-simplify]: Simplify (+ 0 0) into 0 3.775 * [taylor]: Taking taylor expansion of 0 in p 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.780 * [backup-simplify]: Simplify (+ (* p 0) (+ (* 0 0) (+ (* 0 0) (* 0 p)))) into 0 3.781 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow p 2))))) into 0 3.782 * [backup-simplify]: Simplify (+ 0 0) into 0 3.782 * [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 3.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/16 (pow p 3)))))) (* 2 (/ 1/2 p))) into 0 3.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -1/16 (pow p 3))) (+ (* 0 0) (* 0 (/ 1/2 p))))) into (- (* 1/16 (/ 1 (pow p 3)))) 3.785 * [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)))) 3.785 * [backup-simplify]: Simplify (+ 0 (- (* 0.03125 (/ 1 (pow p 3))))) into (- (* 0.03125 (/ 1 (pow p 3)))) 3.785 * [taylor]: Taking taylor expansion of (- (* 0.03125 (/ 1 (pow p 3)))) in p 3.785 * [taylor]: Taking taylor expansion of (* 0.03125 (/ 1 (pow p 3))) in p 3.785 * [taylor]: Taking taylor expansion of 0.03125 in p 3.785 * [backup-simplify]: Simplify 0.03125 into 0.03125 3.786 * [taylor]: Taking taylor expansion of (/ 1 (pow p 3)) in p 3.786 * [taylor]: Taking taylor expansion of (pow p 3) in p 3.786 * [taylor]: Taking taylor expansion of p in p 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify 1 into 1 3.786 * [backup-simplify]: Simplify (* 1 1) into 1 3.787 * [backup-simplify]: Simplify (* 1 1) into 1 3.787 * [backup-simplify]: Simplify (/ 1 1) into 1 3.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.798 * [backup-simplify]: Simplify (+ (* 0.03125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.798 * [backup-simplify]: Simplify (- 0) into 0 3.798 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 0.5 into 0.5 3.799 * [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) 3.799 * [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 3.799 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in p 3.799 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 3.799 * [taylor]: Taking taylor expansion of 0.5 in p 3.799 * [backup-simplify]: Simplify 0.5 into 0.5 3.799 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 3.799 * [taylor]: Taking taylor expansion of (/ 1 x) in p 3.799 * [taylor]: Taking taylor expansion of x in p 3.799 * [backup-simplify]: Simplify x into x 3.799 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.800 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 3.800 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.800 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.800 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.800 * [taylor]: Taking taylor expansion of 4 in p 3.800 * [backup-simplify]: Simplify 4 into 4 3.800 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.800 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.800 * [taylor]: Taking taylor expansion of p in p 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.800 * [backup-simplify]: Simplify (* 1 1) into 1 3.801 * [backup-simplify]: Simplify (/ 1 1) into 1 3.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.801 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.801 * [taylor]: Taking taylor expansion of x in p 3.801 * [backup-simplify]: Simplify x into x 3.801 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.801 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.802 * [backup-simplify]: Simplify (* 4 1) into 4 3.802 * [backup-simplify]: Simplify (+ 4 0) into 4 3.802 * [backup-simplify]: Simplify (/ 1 4) into 1/4 3.803 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 3.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.806 * [backup-simplify]: Simplify (+ 0 0) into 0 3.807 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 3.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 3.807 * [taylor]: Taking taylor expansion of 0.5 in p 3.808 * [backup-simplify]: Simplify 0.5 into 0.5 3.808 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 3.808 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 3.808 * [taylor]: Taking taylor expansion of 0.5 in x 3.808 * [backup-simplify]: Simplify 0.5 into 0.5 3.808 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 3.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.808 * [taylor]: Taking taylor expansion of x in x 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (/ 1 1) into 1 3.808 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 3.808 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.808 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.808 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.809 * [taylor]: Taking taylor expansion of 4 in x 3.809 * [backup-simplify]: Simplify 4 into 4 3.809 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.809 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.809 * [taylor]: Taking taylor expansion of p in x 3.809 * [backup-simplify]: Simplify p into p 3.809 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.809 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.809 * [taylor]: Taking taylor expansion of x in x 3.809 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify 1 into 1 3.810 * [backup-simplify]: Simplify (* 1 1) into 1 3.810 * [backup-simplify]: Simplify (/ 1 1) into 1 3.810 * [backup-simplify]: Simplify (+ 0 1) into 1 3.811 * [backup-simplify]: Simplify (/ 1 1) into 1 3.811 * [backup-simplify]: Simplify (sqrt 1) into 1 3.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.814 * [backup-simplify]: Simplify (+ 0 0) into 0 3.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.815 * [taylor]: Taking taylor expansion of 0.5 in x 3.815 * [backup-simplify]: Simplify 0.5 into 0.5 3.815 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) 0.5) in x 3.815 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 3.815 * [taylor]: Taking taylor expansion of 0.5 in x 3.816 * [backup-simplify]: Simplify 0.5 into 0.5 3.816 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 3.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.816 * [taylor]: Taking taylor expansion of x in x 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 1 into 1 3.816 * [backup-simplify]: Simplify (/ 1 1) into 1 3.816 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 3.816 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.816 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.816 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.816 * [taylor]: Taking taylor expansion of 4 in x 3.816 * [backup-simplify]: Simplify 4 into 4 3.816 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.816 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.816 * [taylor]: Taking taylor expansion of p in x 3.817 * [backup-simplify]: Simplify p into p 3.817 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.817 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.817 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.817 * [taylor]: Taking taylor expansion of x in x 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [backup-simplify]: Simplify (* 1 1) into 1 3.818 * [backup-simplify]: Simplify (/ 1 1) into 1 3.818 * [backup-simplify]: Simplify (+ 0 1) into 1 3.819 * [backup-simplify]: Simplify (/ 1 1) into 1 3.819 * [backup-simplify]: Simplify (sqrt 1) into 1 3.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.821 * [backup-simplify]: Simplify (+ 0 0) into 0 3.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.823 * [taylor]: Taking taylor expansion of 0.5 in x 3.823 * [backup-simplify]: Simplify 0.5 into 0.5 3.824 * [backup-simplify]: Simplify (* 1 1) into 1 3.824 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.825 * [backup-simplify]: Simplify (+ 0.5 0.5) into 1.0 3.825 * [taylor]: Taking taylor expansion of 1.0 in p 3.825 * [backup-simplify]: Simplify 1.0 into 1.0 3.825 * [backup-simplify]: Simplify 1.0 into 1.0 3.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.828 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.828 * [backup-simplify]: Simplify (+ 0 0) into 0 3.828 * [taylor]: Taking taylor expansion of 0 in p 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 3.833 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.836 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 3.837 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 3.837 * [backup-simplify]: Simplify (+ (- (* 1.0 (/ 1 (pow p 2)))) 0) into (- (* 1.0 (/ 1 (pow p 2)))) 3.837 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow p 2)))) in p 3.837 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 3.837 * [taylor]: Taking taylor expansion of 1.0 in p 3.837 * [backup-simplify]: Simplify 1.0 into 1.0 3.837 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.837 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.837 * [taylor]: Taking taylor expansion of p in p 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 1 into 1 3.838 * [backup-simplify]: Simplify (* 1 1) into 1 3.838 * [backup-simplify]: Simplify (/ 1 1) into 1 3.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.844 * [backup-simplify]: Simplify (- 0) into 0 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 3.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow p 2)) (/ 0 (pow p 2))))) into 0 3.845 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow p 2)))) into 0 3.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4 (/ 1 (pow p 2))) 1)) (* (- (* 4 (/ 1 (pow p 2)))) (/ 0 1)))) into 0 3.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -2 (pow p 2)))))) (* 2 1)) into 0 3.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (+ 0 0) into 0 3.855 * [taylor]: Taking taylor expansion of 0 in p 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify 1.0 into 1.0 3.856 * [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)))))))) 3.856 * [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 3.856 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in p 3.856 * [taylor]: Taking taylor expansion of 0.5 in p 3.856 * [backup-simplify]: Simplify 0.5 into 0.5 3.856 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in p 3.856 * [taylor]: Taking taylor expansion of 0.5 in p 3.856 * [backup-simplify]: Simplify 0.5 into 0.5 3.856 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 3.856 * [taylor]: Taking taylor expansion of (/ 1 x) in p 3.856 * [taylor]: Taking taylor expansion of x in p 3.856 * [backup-simplify]: Simplify x into x 3.856 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 3.856 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 3.856 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 3.857 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 3.857 * [taylor]: Taking taylor expansion of 4 in p 3.857 * [backup-simplify]: Simplify 4 into 4 3.857 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.857 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.857 * [taylor]: Taking taylor expansion of p in p 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 1 into 1 3.857 * [backup-simplify]: Simplify (* 1 1) into 1 3.858 * [backup-simplify]: Simplify (/ 1 1) into 1 3.858 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 3.858 * [taylor]: Taking taylor expansion of (pow x 2) in p 3.858 * [taylor]: Taking taylor expansion of x in p 3.858 * [backup-simplify]: Simplify x into x 3.858 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.858 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.859 * [backup-simplify]: Simplify (* 4 1) into 4 3.859 * [backup-simplify]: Simplify (+ 4 0) into 4 3.860 * [backup-simplify]: Simplify (/ 1 4) into 1/4 3.860 * [backup-simplify]: Simplify (sqrt 1/4) into 1/2 3.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 3.863 * [backup-simplify]: Simplify (+ 0 0) into 0 3.864 * [backup-simplify]: Simplify (- (+ (* 1/4 (/ 0 4)))) into 0 3.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/4))) into 0 3.865 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 3.865 * [taylor]: Taking taylor expansion of 0.5 in x 3.865 * [backup-simplify]: Simplify 0.5 into 0.5 3.865 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 3.865 * [taylor]: Taking taylor expansion of 0.5 in x 3.865 * [backup-simplify]: Simplify 0.5 into 0.5 3.865 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 3.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.865 * [taylor]: Taking taylor expansion of x in x 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.865 * [backup-simplify]: Simplify (/ 1 1) into 1 3.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 3.865 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.865 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.865 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.865 * [taylor]: Taking taylor expansion of 4 in x 3.865 * [backup-simplify]: Simplify 4 into 4 3.866 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.866 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.866 * [taylor]: Taking taylor expansion of p in x 3.866 * [backup-simplify]: Simplify p into p 3.866 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.866 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.866 * [taylor]: Taking taylor expansion of x in x 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.866 * [backup-simplify]: Simplify (* 1 1) into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [backup-simplify]: Simplify (+ 0 1) into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.868 * [backup-simplify]: Simplify (sqrt 1) into 1 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (+ 0 0) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.871 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))))) in x 3.871 * [taylor]: Taking taylor expansion of 0.5 in x 3.871 * [backup-simplify]: Simplify 0.5 into 0.5 3.871 * [taylor]: Taking taylor expansion of (* 0.5 (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))))) in x 3.871 * [taylor]: Taking taylor expansion of 0.5 in x 3.871 * [backup-simplify]: Simplify 0.5 into 0.5 3.871 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 3.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.871 * [taylor]: Taking taylor expansion of x in x 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (/ 1 1) into 1 3.872 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 3.872 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 3.872 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 3.872 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 3.872 * [taylor]: Taking taylor expansion of 4 in x 3.872 * [backup-simplify]: Simplify 4 into 4 3.872 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 3.872 * [taylor]: Taking taylor expansion of (pow p 2) in x 3.872 * [taylor]: Taking taylor expansion of p in x 3.872 * [backup-simplify]: Simplify p into p 3.872 * [backup-simplify]: Simplify (* p p) into (pow p 2) 3.872 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 3.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.872 * [taylor]: Taking taylor expansion of x in x 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.873 * [backup-simplify]: Simplify (* 1 1) into 1 3.873 * [backup-simplify]: Simplify (/ 1 1) into 1 3.874 * [backup-simplify]: Simplify (+ 0 1) into 1 3.874 * [backup-simplify]: Simplify (/ 1 1) into 1 3.874 * [backup-simplify]: Simplify (sqrt 1) into 1 3.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.876 * [backup-simplify]: Simplify (+ 0 0) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.878 * [backup-simplify]: Simplify (* 1 1) into 1 3.883 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.884 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.885 * [backup-simplify]: Simplify (+ 0.5 (- 0.5)) into 0 3.885 * [taylor]: Taking taylor expansion of 0 in p 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.887 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.888 * [backup-simplify]: Simplify (- 0) into 0 3.888 * [backup-simplify]: Simplify (+ 0 0) into 0 3.888 * [taylor]: Taking taylor expansion of 0 in p 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify (* 4 (/ 1 (pow p 2))) into (/ 4 (pow p 2)) 3.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.889 * [backup-simplify]: Simplify (+ (/ 4 (pow p 2)) 0) into (* 4 (/ 1 (pow p 2))) 3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4 (/ 1 (pow p 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4 (/ 1 (pow p 2)))) 3.891 * [backup-simplify]: Simplify (/ (- (- (* 4 (/ 1 (pow p 2)))) (pow 0 2) (+)) (* 2 1)) into (/ -2 (pow p 2)) 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 (/ -2 (pow p 2))) (+ (* 0 0) (* 0 1))) into (- (* 2 (/ 1 (pow p 2)))) 3.892 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ 1 (pow p 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1.0 (/ 1 (pow p 2)))) 3.892 * [backup-simplify]: Simplify (- (- (* 1.0 (/ 1 (pow p 2))))) into (* 1.0 (/ 1 (pow p 2))) 3.892 * [backup-simplify]: Simplify (+ 0 (* 1.0 (/ 1 (pow p 2)))) into (* 1.0 (/ 1 (pow p 2))) 3.892 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow p 2))) in p 3.893 * [taylor]: Taking taylor expansion of 1.0 in p 3.893 * [backup-simplify]: Simplify 1.0 into 1.0 3.893 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 3.893 * [taylor]: Taking taylor expansion of (pow p 2) in p 3.893 * [taylor]: Taking taylor expansion of p in p 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (* 1 1) into 1 3.893 * [backup-simplify]: Simplify (/ 1 1) into 1 3.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.896 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * * * [progress]: simplifying candidates 3.896 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 3.896 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 3.896 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 3.896 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 3.896 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 3.896 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 16 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5)))))> 3.897 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 3.897 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 32 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* x x) (* (* p p) 4))))))) 0.5))) (cbrt (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))> 3.898 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 3.898 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 48 / 72 ] simplifiying candidate #real (real->posit16 (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)))))> 3.899 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #real (real->posit16 (+ (* 0.5 (/ x (sqrt (+ (* x x) (* (* p p) 4))))) 0.5)))))))> 3.899 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 66 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 3.899 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 3.900 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 3.900 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 3.900 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 3.900 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 3.900 * [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)))) (* (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)) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) (* 2 p) x (* -1 x) 0.5 1.0 0 3.901 * * [simplify]: iteration 1: (69 enodes) 3.917 * * [simplify]: iteration 2: (173 enodes) 3.979 * * [simplify]: iteration 3: (511 enodes) 4.371 * * [simplify]: iteration 4: (1661 enodes) 6.110 * * [simplify]: Extracting #0: cost 33 inf + 0 6.110 * * [simplify]: Extracting #1: cost 139 inf + 6 6.113 * * [simplify]: Extracting #2: cost 455 inf + 437 6.118 * * [simplify]: Extracting #3: cost 814 inf + 10961 6.135 * * [simplify]: Extracting #4: cost 660 inf + 68381 6.202 * * [simplify]: Extracting #5: cost 196 inf + 247213 6.322 * * [simplify]: Extracting #6: cost 18 inf + 329737 6.447 * * [simplify]: Extracting #7: cost 0 inf + 340402 6.545 * [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)) (* 64 (* p (* p p)))) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* (* (* p p) 4) (* (* p p) 4)) (* (- (* x x) (* (* p p) 4)) (* x x)))) (sqrt (* (- (* x x) (* (* p p) 4)) (+ (* x x) (* (* p p) 4)))) (sqrt (- (* x x) (* (* p p) 4))) 1/2 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (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)) (* 64 (* p (* p p)))) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* (* (* p p) 4) (* (* p p) 4)) (* (- (* x x) (* (* p p) 4)) (* x x)))) (sqrt (* (- (* x x) (* (* p p) 4)) (+ (* x x) (* (* p p) 4)))) (sqrt (- (* x x) (* (* p p) 4))) 1/2 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (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)) (* 64 (* p (* p p)))) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* (* (* p p) 4) (* (* p p) 4)) (* (- (* x x) (* (* p p) 4)) (* x x)))) (sqrt (* (- (* x x) (* (* p p) 4)) (+ (* x x) (* (* p p) 4)))) (sqrt (- (* x x) (* (* p p) 4))) 1/2 (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (sqrt (sqrt (+ (* x x) (* (* p p) 4)))) (real->posit16 (sqrt (+ (* x x) (* (* p p) 4)))) (exp (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x))) (log (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x))) (exp (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x))) (* (cbrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x))) (cbrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x)))) (cbrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x))) (* (* (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x)) (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x))) (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x))) (sqrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x))) (sqrt (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x))) (* (+ (* 0.5 0.5) (/ (* (/ (* x (* x x)) (+ (* x x) (* (* p p) 4))) (* 0.5 0.5)) (sqrt (+ (* x x) (* (* p p) 4))))) 0.5) (+ (* 0.5 0.5) (* (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x) (- (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x) 0.5))) (- (* (/ (* x x) (+ (* x x) (* (* p p) 4))) (* 0.5 0.5)) (* 0.5 0.5)) (- (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x) 0.5) (real->posit16 (+ 0.5 (* (/ 0.5 (sqrt (+ (* x x) (* (* p p) 4)))) x))) (* p 2) x (- x) (* p 2) x (- x) (* p 2) x (- x) 0.5 1.0 0 6.565 * * * [progress]: adding candidates to table 7.710 * * [progress]: iteration 3 / 4 7.710 * * * [progress]: picking best candidate 7.739 * * * * [pick]: Picked # 7.739 * * * [progress]: localizing error 7.838 * * * [progress]: generating rewritten candidates 7.838 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2 2 1 2) 7.858 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1 2) 7.882 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 2 1 2) 7.907 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1 1 2) 7.942 * * * [progress]: generating series expansions 7.942 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2 2 1 2) 7.942 * [backup-simplify]: Simplify (sqrt (+ (* (* p p) 4) (* x x))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 7.942 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (p x) around 0 7.942 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 7.942 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 7.942 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.943 * [taylor]: Taking taylor expansion of x in x 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify 1 into 1 7.943 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 7.943 * [taylor]: Taking taylor expansion of 4 in x 7.943 * [backup-simplify]: Simplify 4 into 4 7.943 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.943 * [taylor]: Taking taylor expansion of p in x 7.943 * [backup-simplify]: Simplify p into p 7.943 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.943 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 7.943 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 7.943 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 7.943 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 7.944 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 7.945 * [backup-simplify]: Simplify (+ 0 0) into 0 7.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 7.945 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 7.945 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 7.945 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.945 * [taylor]: Taking taylor expansion of x in p 7.945 * [backup-simplify]: Simplify x into x 7.945 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 7.945 * [taylor]: Taking taylor expansion of 4 in p 7.945 * [backup-simplify]: Simplify 4 into 4 7.945 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.945 * [taylor]: Taking taylor expansion of p in p 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.946 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.946 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.946 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 7.946 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.946 * [backup-simplify]: Simplify (+ 0 0) into 0 7.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 7.947 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 7.947 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 7.947 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.947 * [taylor]: Taking taylor expansion of x in p 7.947 * [backup-simplify]: Simplify x into x 7.947 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 7.947 * [taylor]: Taking taylor expansion of 4 in p 7.947 * [backup-simplify]: Simplify 4 into 4 7.947 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.947 * [taylor]: Taking taylor expansion of p in p 7.947 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify 1 into 1 7.947 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.947 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.947 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 7.947 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.948 * [backup-simplify]: Simplify (+ 0 0) into 0 7.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 7.948 * [taylor]: Taking taylor expansion of x in x 7.948 * [backup-simplify]: Simplify 0 into 0 7.948 * [backup-simplify]: Simplify 1 into 1 7.948 * [backup-simplify]: Simplify 0 into 0 7.948 * [taylor]: Taking taylor expansion of 0 in x 7.948 * [backup-simplify]: Simplify 0 into 0 7.948 * [backup-simplify]: Simplify 0 into 0 7.948 * [backup-simplify]: Simplify 1 into 1 7.949 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 7.949 * [backup-simplify]: Simplify (* 1 1) into 1 7.950 * [backup-simplify]: Simplify (* 4 1) into 4 7.951 * [backup-simplify]: Simplify (+ 0 4) into 4 7.951 * [backup-simplify]: Simplify (/ (- 4 (pow 0 2) (+)) (* 2 x)) into (/ 2 x) 7.952 * [taylor]: Taking taylor expansion of (/ 2 x) in x 7.952 * [taylor]: Taking taylor expansion of 2 in x 7.952 * [backup-simplify]: Simplify 2 into 2 7.952 * [taylor]: Taking taylor expansion of x in x 7.952 * [backup-simplify]: Simplify 0 into 0 7.952 * [backup-simplify]: Simplify 1 into 1 7.952 * [backup-simplify]: Simplify (/ 2 1) into 2 7.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.956 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.956 * [backup-simplify]: Simplify (+ 0 0) into 0 7.956 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 x))))) (* 2 x)) into 0 7.956 * [taylor]: Taking taylor expansion of 0 in x 7.956 * [backup-simplify]: Simplify 0 into 0 7.956 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 7.958 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ 1 p) (/ 1 p)) 4) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 7.958 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0 7.958 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.958 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.958 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.958 * [taylor]: Taking taylor expansion of 4 in x 7.958 * [backup-simplify]: Simplify 4 into 4 7.958 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.958 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.958 * [taylor]: Taking taylor expansion of p in x 7.958 * [backup-simplify]: Simplify p into p 7.958 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.959 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.959 * [taylor]: Taking taylor expansion of x in x 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify 1 into 1 7.959 * [backup-simplify]: Simplify (* 1 1) into 1 7.960 * [backup-simplify]: Simplify (/ 1 1) into 1 7.960 * [backup-simplify]: Simplify (+ 0 1) into 1 7.961 * [backup-simplify]: Simplify (sqrt 1) into 1 7.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.963 * [backup-simplify]: Simplify (+ 0 0) into 0 7.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.963 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 7.963 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 7.964 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.964 * [taylor]: Taking taylor expansion of 4 in p 7.964 * [backup-simplify]: Simplify 4 into 4 7.964 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.964 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.964 * [taylor]: Taking taylor expansion of p in p 7.964 * [backup-simplify]: Simplify 0 into 0 7.964 * [backup-simplify]: Simplify 1 into 1 7.964 * [backup-simplify]: Simplify (* 1 1) into 1 7.965 * [backup-simplify]: Simplify (/ 1 1) into 1 7.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 7.965 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.965 * [taylor]: Taking taylor expansion of x in p 7.965 * [backup-simplify]: Simplify x into x 7.965 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.965 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.965 * [backup-simplify]: Simplify (* 4 1) into 4 7.966 * [backup-simplify]: Simplify (+ 4 0) into 4 7.966 * [backup-simplify]: Simplify (sqrt 4) into 2 7.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.968 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.969 * [backup-simplify]: Simplify (+ 0 0) into 0 7.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 7.970 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 7.970 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 7.970 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.970 * [taylor]: Taking taylor expansion of 4 in p 7.970 * [backup-simplify]: Simplify 4 into 4 7.970 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.970 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.970 * [taylor]: Taking taylor expansion of p in p 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 1 into 1 7.971 * [backup-simplify]: Simplify (* 1 1) into 1 7.971 * [backup-simplify]: Simplify (/ 1 1) into 1 7.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 7.971 * [taylor]: Taking taylor expansion of (pow x 2) in p 7.971 * [taylor]: Taking taylor expansion of x in p 7.971 * [backup-simplify]: Simplify x into x 7.971 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.971 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.972 * [backup-simplify]: Simplify (* 4 1) into 4 7.973 * [backup-simplify]: Simplify (+ 4 0) into 4 7.973 * [backup-simplify]: Simplify (sqrt 4) into 2 7.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.975 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 7.976 * [backup-simplify]: Simplify (+ 0 0) into 0 7.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 7.977 * [taylor]: Taking taylor expansion of 2 in x 7.977 * [backup-simplify]: Simplify 2 into 2 7.977 * [taylor]: Taking taylor expansion of 0 in x 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 2 into 2 7.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.981 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 7.981 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 7.983 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2)) 7.983 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x 7.983 * [taylor]: Taking taylor expansion of 1/4 in x 7.983 * [backup-simplify]: Simplify 1/4 into 1/4 7.983 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.983 * [taylor]: Taking taylor expansion of x in x 7.983 * [backup-simplify]: Simplify 0 into 0 7.983 * [backup-simplify]: Simplify 1 into 1 7.983 * [backup-simplify]: Simplify (* 1 1) into 1 7.984 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 7.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.989 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.989 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 7.990 * [backup-simplify]: Simplify (+ 0 0) into 0 7.991 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0 7.991 * [taylor]: Taking taylor expansion of 0 in x 7.991 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 p)))) into (* 2 p) 7.994 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ 1 (- p)) (/ 1 (- p))) 4) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 7.994 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0 7.994 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 7.994 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 7.994 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 7.994 * [taylor]: Taking taylor expansion of 4 in x 7.994 * [backup-simplify]: Simplify 4 into 4 7.994 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 7.994 * [taylor]: Taking taylor expansion of (pow p 2) in x 7.994 * [taylor]: Taking taylor expansion of p in x 7.994 * [backup-simplify]: Simplify p into p 7.994 * [backup-simplify]: Simplify (* p p) into (pow p 2) 7.994 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 7.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.994 * [taylor]: Taking taylor expansion of x in x 7.994 * [backup-simplify]: Simplify 0 into 0 7.994 * [backup-simplify]: Simplify 1 into 1 7.995 * [backup-simplify]: Simplify (* 1 1) into 1 7.995 * [backup-simplify]: Simplify (/ 1 1) into 1 7.996 * [backup-simplify]: Simplify (+ 0 1) into 1 7.996 * [backup-simplify]: Simplify (sqrt 1) into 1 7.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.998 * [backup-simplify]: Simplify (+ 0 0) into 0 7.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.999 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 7.999 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 7.999 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 7.999 * [taylor]: Taking taylor expansion of 4 in p 7.999 * [backup-simplify]: Simplify 4 into 4 7.999 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 7.999 * [taylor]: Taking taylor expansion of (pow p 2) in p 7.999 * [taylor]: Taking taylor expansion of p in p 7.999 * [backup-simplify]: Simplify 0 into 0 7.999 * [backup-simplify]: Simplify 1 into 1 8.000 * [backup-simplify]: Simplify (* 1 1) into 1 8.000 * [backup-simplify]: Simplify (/ 1 1) into 1 8.000 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.000 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.000 * [taylor]: Taking taylor expansion of x in p 8.000 * [backup-simplify]: Simplify x into x 8.000 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.000 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.001 * [backup-simplify]: Simplify (* 4 1) into 4 8.001 * [backup-simplify]: Simplify (+ 4 0) into 4 8.002 * [backup-simplify]: Simplify (sqrt 4) into 2 8.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.004 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.004 * [backup-simplify]: Simplify (+ 0 0) into 0 8.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.005 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.005 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.005 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.005 * [taylor]: Taking taylor expansion of 4 in p 8.005 * [backup-simplify]: Simplify 4 into 4 8.005 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.005 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.005 * [taylor]: Taking taylor expansion of p in p 8.005 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify 1 into 1 8.006 * [backup-simplify]: Simplify (* 1 1) into 1 8.006 * [backup-simplify]: Simplify (/ 1 1) into 1 8.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.006 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.006 * [taylor]: Taking taylor expansion of x in p 8.006 * [backup-simplify]: Simplify x into x 8.006 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.007 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.007 * [backup-simplify]: Simplify (* 4 1) into 4 8.007 * [backup-simplify]: Simplify (+ 4 0) into 4 8.008 * [backup-simplify]: Simplify (sqrt 4) into 2 8.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.010 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.011 * [backup-simplify]: Simplify (+ 0 0) into 0 8.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.012 * [taylor]: Taking taylor expansion of 2 in x 8.012 * [backup-simplify]: Simplify 2 into 2 8.012 * [taylor]: Taking taylor expansion of 0 in x 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify 2 into 2 8.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.015 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.015 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.017 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2)) 8.017 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x 8.017 * [taylor]: Taking taylor expansion of 1/4 in x 8.017 * [backup-simplify]: Simplify 1/4 into 1/4 8.017 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.017 * [taylor]: Taking taylor expansion of x in x 8.017 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify 1 into 1 8.017 * [backup-simplify]: Simplify (* 1 1) into 1 8.018 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 8.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.023 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.023 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.024 * [backup-simplify]: Simplify (+ 0 0) into 0 8.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0 8.029 * [taylor]: Taking taylor expansion of 0 in x 8.029 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- p))))) into (* -2 p) 8.032 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1 2) 8.032 * [backup-simplify]: Simplify (sqrt (+ (* (* p p) 4) (* x x))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 8.032 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (p x) around 0 8.032 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 8.032 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 8.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.032 * [taylor]: Taking taylor expansion of x in x 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify 1 into 1 8.032 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 8.032 * [taylor]: Taking taylor expansion of 4 in x 8.033 * [backup-simplify]: Simplify 4 into 4 8.033 * [taylor]: Taking taylor expansion of (pow p 2) in x 8.033 * [taylor]: Taking taylor expansion of p in x 8.033 * [backup-simplify]: Simplify p into p 8.033 * [backup-simplify]: Simplify (* p p) into (pow p 2) 8.033 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 8.033 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 8.033 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 8.033 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 8.034 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 8.034 * [backup-simplify]: Simplify (+ 0 0) into 0 8.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 8.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 8.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 8.035 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.035 * [taylor]: Taking taylor expansion of x in p 8.035 * [backup-simplify]: Simplify x into x 8.035 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 8.035 * [taylor]: Taking taylor expansion of 4 in p 8.035 * [backup-simplify]: Simplify 4 into 4 8.035 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.035 * [taylor]: Taking taylor expansion of p in p 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify 1 into 1 8.035 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.035 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.035 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.035 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.036 * [backup-simplify]: Simplify (+ 0 0) into 0 8.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 8.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 8.036 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.036 * [taylor]: Taking taylor expansion of x in p 8.036 * [backup-simplify]: Simplify x into x 8.036 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 8.036 * [taylor]: Taking taylor expansion of 4 in p 8.036 * [backup-simplify]: Simplify 4 into 4 8.036 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.036 * [taylor]: Taking taylor expansion of p in p 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 1 into 1 8.036 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.036 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.036 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.036 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.037 * [backup-simplify]: Simplify (+ 0 0) into 0 8.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.037 * [taylor]: Taking taylor expansion of x in x 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [backup-simplify]: Simplify 1 into 1 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [taylor]: Taking taylor expansion of 0 in x 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [backup-simplify]: Simplify 0 into 0 8.037 * [backup-simplify]: Simplify 1 into 1 8.038 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 8.039 * [backup-simplify]: Simplify (* 1 1) into 1 8.039 * [backup-simplify]: Simplify (* 4 1) into 4 8.039 * [backup-simplify]: Simplify (+ 0 4) into 4 8.040 * [backup-simplify]: Simplify (/ (- 4 (pow 0 2) (+)) (* 2 x)) into (/ 2 x) 8.040 * [taylor]: Taking taylor expansion of (/ 2 x) in x 8.040 * [taylor]: Taking taylor expansion of 2 in x 8.040 * [backup-simplify]: Simplify 2 into 2 8.040 * [taylor]: Taking taylor expansion of x in x 8.040 * [backup-simplify]: Simplify 0 into 0 8.040 * [backup-simplify]: Simplify 1 into 1 8.041 * [backup-simplify]: Simplify (/ 2 1) into 2 8.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.044 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.045 * [backup-simplify]: Simplify (+ 0 0) into 0 8.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 x))))) (* 2 x)) into 0 8.045 * [taylor]: Taking taylor expansion of 0 in x 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 8.047 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ 1 p) (/ 1 p)) 4) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 8.047 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0 8.047 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 8.047 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 8.047 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 8.047 * [taylor]: Taking taylor expansion of 4 in x 8.047 * [backup-simplify]: Simplify 4 into 4 8.047 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 8.047 * [taylor]: Taking taylor expansion of (pow p 2) in x 8.047 * [taylor]: Taking taylor expansion of p in x 8.047 * [backup-simplify]: Simplify p into p 8.047 * [backup-simplify]: Simplify (* p p) into (pow p 2) 8.047 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 8.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.047 * [taylor]: Taking taylor expansion of x in x 8.047 * [backup-simplify]: Simplify 0 into 0 8.047 * [backup-simplify]: Simplify 1 into 1 8.048 * [backup-simplify]: Simplify (* 1 1) into 1 8.048 * [backup-simplify]: Simplify (/ 1 1) into 1 8.049 * [backup-simplify]: Simplify (+ 0 1) into 1 8.049 * [backup-simplify]: Simplify (sqrt 1) into 1 8.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.051 * [backup-simplify]: Simplify (+ 0 0) into 0 8.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.052 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.052 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.052 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.052 * [taylor]: Taking taylor expansion of 4 in p 8.052 * [backup-simplify]: Simplify 4 into 4 8.052 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.052 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.052 * [taylor]: Taking taylor expansion of p in p 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 1 into 1 8.053 * [backup-simplify]: Simplify (* 1 1) into 1 8.053 * [backup-simplify]: Simplify (/ 1 1) into 1 8.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.053 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.053 * [taylor]: Taking taylor expansion of x in p 8.053 * [backup-simplify]: Simplify x into x 8.053 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.053 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.054 * [backup-simplify]: Simplify (* 4 1) into 4 8.054 * [backup-simplify]: Simplify (+ 4 0) into 4 8.055 * [backup-simplify]: Simplify (sqrt 4) into 2 8.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.057 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.058 * [backup-simplify]: Simplify (+ 0 0) into 0 8.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.058 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.058 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.058 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.058 * [taylor]: Taking taylor expansion of 4 in p 8.059 * [backup-simplify]: Simplify 4 into 4 8.059 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.059 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.059 * [taylor]: Taking taylor expansion of p in p 8.059 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify 1 into 1 8.059 * [backup-simplify]: Simplify (* 1 1) into 1 8.060 * [backup-simplify]: Simplify (/ 1 1) into 1 8.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.060 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.060 * [taylor]: Taking taylor expansion of x in p 8.060 * [backup-simplify]: Simplify x into x 8.060 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.060 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.061 * [backup-simplify]: Simplify (* 4 1) into 4 8.061 * [backup-simplify]: Simplify (+ 4 0) into 4 8.062 * [backup-simplify]: Simplify (sqrt 4) into 2 8.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.064 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.064 * [backup-simplify]: Simplify (+ 0 0) into 0 8.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.065 * [taylor]: Taking taylor expansion of 2 in x 8.065 * [backup-simplify]: Simplify 2 into 2 8.065 * [taylor]: Taking taylor expansion of 0 in x 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 2 into 2 8.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.069 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.069 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.070 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2)) 8.070 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x 8.070 * [taylor]: Taking taylor expansion of 1/4 in x 8.070 * [backup-simplify]: Simplify 1/4 into 1/4 8.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.070 * [taylor]: Taking taylor expansion of x in x 8.070 * [backup-simplify]: Simplify 0 into 0 8.070 * [backup-simplify]: Simplify 1 into 1 8.071 * [backup-simplify]: Simplify (* 1 1) into 1 8.071 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 8.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 8.073 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify 0 into 0 8.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.076 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.076 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.077 * [backup-simplify]: Simplify (+ 0 0) into 0 8.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0 8.078 * [taylor]: Taking taylor expansion of 0 in x 8.078 * [backup-simplify]: Simplify 0 into 0 8.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 p)))) into (* 2 p) 8.080 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ 1 (- p)) (/ 1 (- p))) 4) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 8.080 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0 8.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 8.081 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 8.081 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 8.081 * [taylor]: Taking taylor expansion of 4 in x 8.081 * [backup-simplify]: Simplify 4 into 4 8.081 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 8.081 * [taylor]: Taking taylor expansion of (pow p 2) in x 8.081 * [taylor]: Taking taylor expansion of p in x 8.081 * [backup-simplify]: Simplify p into p 8.081 * [backup-simplify]: Simplify (* p p) into (pow p 2) 8.081 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 8.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.081 * [taylor]: Taking taylor expansion of x in x 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify 1 into 1 8.082 * [backup-simplify]: Simplify (* 1 1) into 1 8.082 * [backup-simplify]: Simplify (/ 1 1) into 1 8.083 * [backup-simplify]: Simplify (+ 0 1) into 1 8.083 * [backup-simplify]: Simplify (sqrt 1) into 1 8.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.085 * [backup-simplify]: Simplify (+ 0 0) into 0 8.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.086 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.086 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.086 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.086 * [taylor]: Taking taylor expansion of 4 in p 8.086 * [backup-simplify]: Simplify 4 into 4 8.086 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.086 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.086 * [taylor]: Taking taylor expansion of p in p 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify 1 into 1 8.086 * [backup-simplify]: Simplify (* 1 1) into 1 8.087 * [backup-simplify]: Simplify (/ 1 1) into 1 8.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.087 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.087 * [taylor]: Taking taylor expansion of x in p 8.087 * [backup-simplify]: Simplify x into x 8.087 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.087 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.087 * [backup-simplify]: Simplify (* 4 1) into 4 8.088 * [backup-simplify]: Simplify (+ 4 0) into 4 8.088 * [backup-simplify]: Simplify (sqrt 4) into 2 8.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.090 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.091 * [backup-simplify]: Simplify (+ 0 0) into 0 8.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.092 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.092 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.092 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.092 * [taylor]: Taking taylor expansion of 4 in p 8.092 * [backup-simplify]: Simplify 4 into 4 8.092 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.092 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.092 * [taylor]: Taking taylor expansion of p in p 8.092 * [backup-simplify]: Simplify 0 into 0 8.092 * [backup-simplify]: Simplify 1 into 1 8.092 * [backup-simplify]: Simplify (* 1 1) into 1 8.093 * [backup-simplify]: Simplify (/ 1 1) into 1 8.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.093 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.093 * [taylor]: Taking taylor expansion of x in p 8.093 * [backup-simplify]: Simplify x into x 8.093 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.093 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.093 * [backup-simplify]: Simplify (* 4 1) into 4 8.094 * [backup-simplify]: Simplify (+ 4 0) into 4 8.094 * [backup-simplify]: Simplify (sqrt 4) into 2 8.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.096 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.097 * [backup-simplify]: Simplify (+ 0 0) into 0 8.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.098 * [taylor]: Taking taylor expansion of 2 in x 8.098 * [backup-simplify]: Simplify 2 into 2 8.098 * [taylor]: Taking taylor expansion of 0 in x 8.098 * [backup-simplify]: Simplify 0 into 0 8.098 * [backup-simplify]: Simplify 2 into 2 8.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.101 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.101 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.102 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2)) 8.102 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x 8.102 * [taylor]: Taking taylor expansion of 1/4 in x 8.102 * [backup-simplify]: Simplify 1/4 into 1/4 8.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.103 * [taylor]: Taking taylor expansion of x in x 8.103 * [backup-simplify]: Simplify 0 into 0 8.103 * [backup-simplify]: Simplify 1 into 1 8.103 * [backup-simplify]: Simplify (* 1 1) into 1 8.103 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 8.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 0 into 0 8.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.108 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.109 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.109 * [backup-simplify]: Simplify (+ 0 0) into 0 8.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0 8.110 * [taylor]: Taking taylor expansion of 0 in x 8.110 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.112 * [backup-simplify]: Simplify 0 into 0 8.112 * [backup-simplify]: Simplify 0 into 0 8.112 * [backup-simplify]: Simplify 0 into 0 8.112 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- p))))) into (* -2 p) 8.112 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 2 1 2) 8.113 * [backup-simplify]: Simplify (sqrt (+ (* (* p p) 4) (* x x))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 8.113 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (p x) around 0 8.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 8.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 8.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.113 * [taylor]: Taking taylor expansion of x in x 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify 1 into 1 8.113 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 8.113 * [taylor]: Taking taylor expansion of 4 in x 8.113 * [backup-simplify]: Simplify 4 into 4 8.113 * [taylor]: Taking taylor expansion of (pow p 2) in x 8.113 * [taylor]: Taking taylor expansion of p in x 8.113 * [backup-simplify]: Simplify p into p 8.113 * [backup-simplify]: Simplify (* p p) into (pow p 2) 8.113 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 8.113 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 8.113 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 8.114 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 8.114 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 8.115 * [backup-simplify]: Simplify (+ 0 0) into 0 8.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 8.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 8.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 8.115 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.115 * [taylor]: Taking taylor expansion of x in p 8.115 * [backup-simplify]: Simplify x into x 8.115 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 8.115 * [taylor]: Taking taylor expansion of 4 in p 8.115 * [backup-simplify]: Simplify 4 into 4 8.115 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.115 * [taylor]: Taking taylor expansion of p in p 8.115 * [backup-simplify]: Simplify 0 into 0 8.115 * [backup-simplify]: Simplify 1 into 1 8.115 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.115 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.115 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.116 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.116 * [backup-simplify]: Simplify (+ 0 0) into 0 8.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.116 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 8.116 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 8.116 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.116 * [taylor]: Taking taylor expansion of x in p 8.116 * [backup-simplify]: Simplify x into x 8.116 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 8.116 * [taylor]: Taking taylor expansion of 4 in p 8.116 * [backup-simplify]: Simplify 4 into 4 8.116 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.116 * [taylor]: Taking taylor expansion of p in p 8.116 * [backup-simplify]: Simplify 0 into 0 8.116 * [backup-simplify]: Simplify 1 into 1 8.117 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.117 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.117 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.117 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.117 * [backup-simplify]: Simplify (+ 0 0) into 0 8.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.118 * [taylor]: Taking taylor expansion of x in x 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [taylor]: Taking taylor expansion of 0 in x 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 8.119 * [backup-simplify]: Simplify (* 1 1) into 1 8.119 * [backup-simplify]: Simplify (* 4 1) into 4 8.120 * [backup-simplify]: Simplify (+ 0 4) into 4 8.121 * [backup-simplify]: Simplify (/ (- 4 (pow 0 2) (+)) (* 2 x)) into (/ 2 x) 8.121 * [taylor]: Taking taylor expansion of (/ 2 x) in x 8.121 * [taylor]: Taking taylor expansion of 2 in x 8.121 * [backup-simplify]: Simplify 2 into 2 8.121 * [taylor]: Taking taylor expansion of x in x 8.121 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify 1 into 1 8.122 * [backup-simplify]: Simplify (/ 2 1) into 2 8.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 8.122 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.125 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.125 * [backup-simplify]: Simplify (+ 0 0) into 0 8.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 x))))) (* 2 x)) into 0 8.125 * [taylor]: Taking taylor expansion of 0 in x 8.125 * [backup-simplify]: Simplify 0 into 0 8.126 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.127 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify 0 into 0 8.127 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 8.127 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ 1 p) (/ 1 p)) 4) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 8.127 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0 8.127 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 8.127 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 8.127 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 8.127 * [taylor]: Taking taylor expansion of 4 in x 8.127 * [backup-simplify]: Simplify 4 into 4 8.127 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 8.127 * [taylor]: Taking taylor expansion of (pow p 2) in x 8.127 * [taylor]: Taking taylor expansion of p in x 8.127 * [backup-simplify]: Simplify p into p 8.127 * [backup-simplify]: Simplify (* p p) into (pow p 2) 8.128 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 8.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.128 * [taylor]: Taking taylor expansion of x in x 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [backup-simplify]: Simplify (* 1 1) into 1 8.129 * [backup-simplify]: Simplify (/ 1 1) into 1 8.129 * [backup-simplify]: Simplify (+ 0 1) into 1 8.130 * [backup-simplify]: Simplify (sqrt 1) into 1 8.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.131 * [backup-simplify]: Simplify (+ 0 0) into 0 8.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.132 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.132 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.132 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.132 * [taylor]: Taking taylor expansion of 4 in p 8.132 * [backup-simplify]: Simplify 4 into 4 8.132 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.132 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.132 * [taylor]: Taking taylor expansion of p in p 8.132 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify 1 into 1 8.133 * [backup-simplify]: Simplify (* 1 1) into 1 8.133 * [backup-simplify]: Simplify (/ 1 1) into 1 8.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.133 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.133 * [taylor]: Taking taylor expansion of x in p 8.133 * [backup-simplify]: Simplify x into x 8.133 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.134 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.134 * [backup-simplify]: Simplify (* 4 1) into 4 8.134 * [backup-simplify]: Simplify (+ 4 0) into 4 8.135 * [backup-simplify]: Simplify (sqrt 4) into 2 8.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.137 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.138 * [backup-simplify]: Simplify (+ 0 0) into 0 8.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.138 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.138 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.138 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.138 * [taylor]: Taking taylor expansion of 4 in p 8.139 * [backup-simplify]: Simplify 4 into 4 8.139 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.139 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.139 * [taylor]: Taking taylor expansion of p in p 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [backup-simplify]: Simplify (* 1 1) into 1 8.139 * [backup-simplify]: Simplify (/ 1 1) into 1 8.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.139 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.140 * [taylor]: Taking taylor expansion of x in p 8.140 * [backup-simplify]: Simplify x into x 8.140 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.140 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.140 * [backup-simplify]: Simplify (* 4 1) into 4 8.141 * [backup-simplify]: Simplify (+ 4 0) into 4 8.141 * [backup-simplify]: Simplify (sqrt 4) into 2 8.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.143 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.144 * [backup-simplify]: Simplify (+ 0 0) into 0 8.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.145 * [taylor]: Taking taylor expansion of 2 in x 8.145 * [backup-simplify]: Simplify 2 into 2 8.145 * [taylor]: Taking taylor expansion of 0 in x 8.145 * [backup-simplify]: Simplify 0 into 0 8.145 * [backup-simplify]: Simplify 2 into 2 8.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.148 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.148 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.150 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2)) 8.150 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x 8.150 * [taylor]: Taking taylor expansion of 1/4 in x 8.150 * [backup-simplify]: Simplify 1/4 into 1/4 8.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.150 * [taylor]: Taking taylor expansion of x in x 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 1 into 1 8.151 * [backup-simplify]: Simplify (* 1 1) into 1 8.151 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 8.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.156 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.156 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.157 * [backup-simplify]: Simplify (+ 0 0) into 0 8.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0 8.158 * [taylor]: Taking taylor expansion of 0 in x 8.158 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 p)))) into (* 2 p) 8.161 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ 1 (- p)) (/ 1 (- p))) 4) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 8.161 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0 8.161 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 8.161 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 8.161 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 8.161 * [taylor]: Taking taylor expansion of 4 in x 8.161 * [backup-simplify]: Simplify 4 into 4 8.161 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 8.161 * [taylor]: Taking taylor expansion of (pow p 2) in x 8.161 * [taylor]: Taking taylor expansion of p in x 8.161 * [backup-simplify]: Simplify p into p 8.161 * [backup-simplify]: Simplify (* p p) into (pow p 2) 8.161 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 8.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.161 * [taylor]: Taking taylor expansion of x in x 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 1 into 1 8.162 * [backup-simplify]: Simplify (* 1 1) into 1 8.163 * [backup-simplify]: Simplify (/ 1 1) into 1 8.163 * [backup-simplify]: Simplify (+ 0 1) into 1 8.164 * [backup-simplify]: Simplify (sqrt 1) into 1 8.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.165 * [backup-simplify]: Simplify (+ 0 0) into 0 8.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.166 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.166 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.166 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.166 * [taylor]: Taking taylor expansion of 4 in p 8.166 * [backup-simplify]: Simplify 4 into 4 8.166 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.166 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.166 * [taylor]: Taking taylor expansion of p in p 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 1 into 1 8.167 * [backup-simplify]: Simplify (* 1 1) into 1 8.167 * [backup-simplify]: Simplify (/ 1 1) into 1 8.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.167 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.167 * [taylor]: Taking taylor expansion of x in p 8.167 * [backup-simplify]: Simplify x into x 8.167 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.168 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.168 * [backup-simplify]: Simplify (* 4 1) into 4 8.168 * [backup-simplify]: Simplify (+ 4 0) into 4 8.169 * [backup-simplify]: Simplify (sqrt 4) into 2 8.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.171 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.172 * [backup-simplify]: Simplify (+ 0 0) into 0 8.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.172 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.173 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.173 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.173 * [taylor]: Taking taylor expansion of 4 in p 8.173 * [backup-simplify]: Simplify 4 into 4 8.173 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.173 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.173 * [taylor]: Taking taylor expansion of p in p 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify 1 into 1 8.173 * [backup-simplify]: Simplify (* 1 1) into 1 8.174 * [backup-simplify]: Simplify (/ 1 1) into 1 8.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.174 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.174 * [taylor]: Taking taylor expansion of x in p 8.174 * [backup-simplify]: Simplify x into x 8.174 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.174 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.174 * [backup-simplify]: Simplify (* 4 1) into 4 8.175 * [backup-simplify]: Simplify (+ 4 0) into 4 8.175 * [backup-simplify]: Simplify (sqrt 4) into 2 8.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.177 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.177 * [backup-simplify]: Simplify (+ 0 0) into 0 8.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.178 * [taylor]: Taking taylor expansion of 2 in x 8.178 * [backup-simplify]: Simplify 2 into 2 8.178 * [taylor]: Taking taylor expansion of 0 in x 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify 2 into 2 8.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.181 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.182 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.183 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2)) 8.183 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x 8.183 * [taylor]: Taking taylor expansion of 1/4 in x 8.183 * [backup-simplify]: Simplify 1/4 into 1/4 8.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.183 * [taylor]: Taking taylor expansion of x in x 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.184 * [backup-simplify]: Simplify (* 1 1) into 1 8.184 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 8.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 0 into 0 8.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.197 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.198 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.198 * [backup-simplify]: Simplify (+ 0 0) into 0 8.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0 8.199 * [taylor]: Taking taylor expansion of 0 in x 8.199 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- p))))) into (* -2 p) 8.202 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1 1 2) 8.202 * [backup-simplify]: Simplify (sqrt (+ (* (* p p) 4) (* x x))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 8.202 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (p x) around 0 8.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 8.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 8.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.202 * [taylor]: Taking taylor expansion of x in x 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify 1 into 1 8.202 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 8.202 * [taylor]: Taking taylor expansion of 4 in x 8.202 * [backup-simplify]: Simplify 4 into 4 8.202 * [taylor]: Taking taylor expansion of (pow p 2) in x 8.202 * [taylor]: Taking taylor expansion of p in x 8.202 * [backup-simplify]: Simplify p into p 8.202 * [backup-simplify]: Simplify (* p p) into (pow p 2) 8.203 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 8.203 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 8.203 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 8.203 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 8.204 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 8.204 * [backup-simplify]: Simplify (+ 0 0) into 0 8.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 8.204 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 8.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 8.204 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.204 * [taylor]: Taking taylor expansion of x in p 8.205 * [backup-simplify]: Simplify x into x 8.205 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 8.205 * [taylor]: Taking taylor expansion of 4 in p 8.205 * [backup-simplify]: Simplify 4 into 4 8.205 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.205 * [taylor]: Taking taylor expansion of p in p 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.205 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.205 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.205 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.205 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.205 * [backup-simplify]: Simplify (+ 0 0) into 0 8.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.205 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 8.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 8.205 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.205 * [taylor]: Taking taylor expansion of x in p 8.205 * [backup-simplify]: Simplify x into x 8.205 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 8.205 * [taylor]: Taking taylor expansion of 4 in p 8.205 * [backup-simplify]: Simplify 4 into 4 8.205 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.205 * [taylor]: Taking taylor expansion of p in p 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.206 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.206 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 8.206 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 8.206 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.206 * [backup-simplify]: Simplify (+ 0 0) into 0 8.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 8.206 * [taylor]: Taking taylor expansion of x in x 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 1 into 1 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [taylor]: Taking taylor expansion of 0 in x 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 1 into 1 8.207 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 8.207 * [backup-simplify]: Simplify (* 1 1) into 1 8.207 * [backup-simplify]: Simplify (* 4 1) into 4 8.208 * [backup-simplify]: Simplify (+ 0 4) into 4 8.208 * [backup-simplify]: Simplify (/ (- 4 (pow 0 2) (+)) (* 2 x)) into (/ 2 x) 8.208 * [taylor]: Taking taylor expansion of (/ 2 x) in x 8.208 * [taylor]: Taking taylor expansion of 2 in x 8.208 * [backup-simplify]: Simplify 2 into 2 8.208 * [taylor]: Taking taylor expansion of x in x 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify 1 into 1 8.209 * [backup-simplify]: Simplify (/ 2 1) into 2 8.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 8.209 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify 0 into 0 8.210 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.211 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.211 * [backup-simplify]: Simplify (+ 0 0) into 0 8.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 x))))) (* 2 x)) into 0 8.211 * [taylor]: Taking taylor expansion of 0 in x 8.211 * [backup-simplify]: Simplify 0 into 0 8.211 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 8.212 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ 1 p) (/ 1 p)) 4) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 8.212 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0 8.212 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 8.212 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 8.212 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 8.212 * [taylor]: Taking taylor expansion of 4 in x 8.212 * [backup-simplify]: Simplify 4 into 4 8.212 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 8.212 * [taylor]: Taking taylor expansion of (pow p 2) in x 8.212 * [taylor]: Taking taylor expansion of p in x 8.213 * [backup-simplify]: Simplify p into p 8.213 * [backup-simplify]: Simplify (* p p) into (pow p 2) 8.213 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 8.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.213 * [taylor]: Taking taylor expansion of x in x 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 1 into 1 8.213 * [backup-simplify]: Simplify (* 1 1) into 1 8.213 * [backup-simplify]: Simplify (/ 1 1) into 1 8.214 * [backup-simplify]: Simplify (+ 0 1) into 1 8.214 * [backup-simplify]: Simplify (sqrt 1) into 1 8.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.215 * [backup-simplify]: Simplify (+ 0 0) into 0 8.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.216 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.216 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.216 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.216 * [taylor]: Taking taylor expansion of 4 in p 8.216 * [backup-simplify]: Simplify 4 into 4 8.216 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.216 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.216 * [taylor]: Taking taylor expansion of p in p 8.216 * [backup-simplify]: Simplify 0 into 0 8.216 * [backup-simplify]: Simplify 1 into 1 8.216 * [backup-simplify]: Simplify (* 1 1) into 1 8.216 * [backup-simplify]: Simplify (/ 1 1) into 1 8.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.216 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.216 * [taylor]: Taking taylor expansion of x in p 8.216 * [backup-simplify]: Simplify x into x 8.216 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.217 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.217 * [backup-simplify]: Simplify (* 4 1) into 4 8.217 * [backup-simplify]: Simplify (+ 4 0) into 4 8.217 * [backup-simplify]: Simplify (sqrt 4) into 2 8.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.220 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.220 * [backup-simplify]: Simplify (+ 0 0) into 0 8.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.221 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.221 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.221 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.221 * [taylor]: Taking taylor expansion of 4 in p 8.221 * [backup-simplify]: Simplify 4 into 4 8.221 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.221 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.221 * [taylor]: Taking taylor expansion of p in p 8.221 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify 1 into 1 8.222 * [backup-simplify]: Simplify (* 1 1) into 1 8.222 * [backup-simplify]: Simplify (/ 1 1) into 1 8.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.222 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.222 * [taylor]: Taking taylor expansion of x in p 8.222 * [backup-simplify]: Simplify x into x 8.222 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.222 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.222 * [backup-simplify]: Simplify (* 4 1) into 4 8.223 * [backup-simplify]: Simplify (+ 4 0) into 4 8.223 * [backup-simplify]: Simplify (sqrt 4) into 2 8.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.224 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.225 * [backup-simplify]: Simplify (+ 0 0) into 0 8.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.225 * [taylor]: Taking taylor expansion of 2 in x 8.225 * [backup-simplify]: Simplify 2 into 2 8.225 * [taylor]: Taking taylor expansion of 0 in x 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 2 into 2 8.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.227 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.227 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.228 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2)) 8.228 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x 8.228 * [taylor]: Taking taylor expansion of 1/4 in x 8.228 * [backup-simplify]: Simplify 1/4 into 1/4 8.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.228 * [taylor]: Taking taylor expansion of x in x 8.228 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify 1 into 1 8.229 * [backup-simplify]: Simplify (* 1 1) into 1 8.229 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 8.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.232 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.232 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.233 * [backup-simplify]: Simplify (+ 0 0) into 0 8.233 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0 8.233 * [taylor]: Taking taylor expansion of 0 in x 8.234 * [backup-simplify]: Simplify 0 into 0 8.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 p)))) into (* 2 p) 8.236 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ 1 (- p)) (/ 1 (- p))) 4) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 8.236 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0 8.236 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 8.236 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 8.236 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 8.236 * [taylor]: Taking taylor expansion of 4 in x 8.236 * [backup-simplify]: Simplify 4 into 4 8.236 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 8.236 * [taylor]: Taking taylor expansion of (pow p 2) in x 8.236 * [taylor]: Taking taylor expansion of p in x 8.236 * [backup-simplify]: Simplify p into p 8.236 * [backup-simplify]: Simplify (* p p) into (pow p 2) 8.236 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 8.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.236 * [taylor]: Taking taylor expansion of x in x 8.236 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify 1 into 1 8.237 * [backup-simplify]: Simplify (* 1 1) into 1 8.237 * [backup-simplify]: Simplify (/ 1 1) into 1 8.238 * [backup-simplify]: Simplify (+ 0 1) into 1 8.238 * [backup-simplify]: Simplify (sqrt 1) into 1 8.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.240 * [backup-simplify]: Simplify (+ 0 0) into 0 8.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.241 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.241 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.241 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.241 * [taylor]: Taking taylor expansion of 4 in p 8.241 * [backup-simplify]: Simplify 4 into 4 8.241 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.241 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.241 * [taylor]: Taking taylor expansion of p in p 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 1 into 1 8.241 * [backup-simplify]: Simplify (* 1 1) into 1 8.242 * [backup-simplify]: Simplify (/ 1 1) into 1 8.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.242 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.242 * [taylor]: Taking taylor expansion of x in p 8.242 * [backup-simplify]: Simplify x into x 8.242 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.242 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.242 * [backup-simplify]: Simplify (* 4 1) into 4 8.243 * [backup-simplify]: Simplify (+ 4 0) into 4 8.243 * [backup-simplify]: Simplify (sqrt 4) into 2 8.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.245 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.246 * [backup-simplify]: Simplify (+ 0 0) into 0 8.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.246 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 8.246 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 8.246 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 8.246 * [taylor]: Taking taylor expansion of 4 in p 8.247 * [backup-simplify]: Simplify 4 into 4 8.247 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 8.247 * [taylor]: Taking taylor expansion of (pow p 2) in p 8.247 * [taylor]: Taking taylor expansion of p in p 8.247 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify 1 into 1 8.247 * [backup-simplify]: Simplify (* 1 1) into 1 8.247 * [backup-simplify]: Simplify (/ 1 1) into 1 8.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 8.247 * [taylor]: Taking taylor expansion of (pow x 2) in p 8.247 * [taylor]: Taking taylor expansion of x in p 8.247 * [backup-simplify]: Simplify x into x 8.248 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.248 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.248 * [backup-simplify]: Simplify (* 4 1) into 4 8.249 * [backup-simplify]: Simplify (+ 4 0) into 4 8.249 * [backup-simplify]: Simplify (sqrt 4) into 2 8.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.251 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 8.251 * [backup-simplify]: Simplify (+ 0 0) into 0 8.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 8.252 * [taylor]: Taking taylor expansion of 2 in x 8.252 * [backup-simplify]: Simplify 2 into 2 8.252 * [taylor]: Taking taylor expansion of 0 in x 8.252 * [backup-simplify]: Simplify 0 into 0 8.252 * [backup-simplify]: Simplify 2 into 2 8.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.255 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 8.255 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 8.257 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2)) 8.257 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x 8.257 * [taylor]: Taking taylor expansion of 1/4 in x 8.257 * [backup-simplify]: Simplify 1/4 into 1/4 8.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.257 * [taylor]: Taking taylor expansion of x in x 8.257 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify 1 into 1 8.257 * [backup-simplify]: Simplify (* 1 1) into 1 8.258 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 8.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 8.259 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.263 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.263 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 8.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 8.264 * [backup-simplify]: Simplify (+ 0 0) into 0 8.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0 8.264 * [taylor]: Taking taylor expansion of 0 in x 8.264 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.266 * [backup-simplify]: Simplify 0 into 0 8.266 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- p))))) into (* -2 p) 8.267 * * * [progress]: simplifying candidates 8.267 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 8.267 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 8.267 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 8.267 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 8.267 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 8.267 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 8.267 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 8.268 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 8.268 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 8.268 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 8.268 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 8.268 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 8.268 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 8.268 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 8.268 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 8.268 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))))) x)))))))> 8.268 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 8.268 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 8.269 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 8.269 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 8.269 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 8.269 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 8.269 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 8.269 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 8.269 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 8.269 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 8.269 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 8.269 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 8.269 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 8.270 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 8.270 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 8.270 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))))) x) (- 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x)))))))> 8.270 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 8.270 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 8.270 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 8.270 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 8.270 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 8.270 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 8.270 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 8.270 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 8.271 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 8.271 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 8.271 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 8.271 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 8.271 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 8.271 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 8.271 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 8.271 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))))) x))) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x) (- 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x)))))))> 8.271 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 8.271 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 8.271 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 8.272 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 8.272 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 8.272 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 8.272 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 8.272 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 8.272 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 8.272 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 8.272 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 8.272 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 8.272 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 8.272 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))))) x) (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x))) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x) (- 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x)))))))> 8.273 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 8.273 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 8.275 * [simplify]: Simplifying: (log (sqrt (+ (* (* p p) 4) (* x x)))) (exp (sqrt (+ (* (* p p) 4) (* x x)))) (* (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (cbrt (sqrt (+ (* (* p p) 4) (* x x))))) (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (* (* (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (* (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (* (* p p) 4) (* x x))))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt 1) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (pow (* (* p p) 4) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* p p) 4) (* (* p p) 4)) (- (* (* x x) (* x x)) (* (* (* p p) 4) (* x x))))) (sqrt (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* x x)))) (sqrt (- (* (* p p) 4) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))) (log (sqrt (+ (* (* p p) 4) (* x x)))) (exp (sqrt (+ (* (* p p) 4) (* x x)))) (* (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (cbrt (sqrt (+ (* (* p p) 4) (* x x))))) (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (* (* (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (* (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (* (* p p) 4) (* x x))))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt 1) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (pow (* (* p p) 4) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* p p) 4) (* (* p p) 4)) (- (* (* x x) (* x x)) (* (* (* p p) 4) (* x x))))) (sqrt (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* x x)))) (sqrt (- (* (* p p) 4) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))) (log (sqrt (+ (* (* p p) 4) (* x x)))) (exp (sqrt (+ (* (* p p) 4) (* x x)))) (* (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (cbrt (sqrt (+ (* (* p p) 4) (* x x))))) (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (* (* (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (* (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (* (* p p) 4) (* x x))))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt 1) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (pow (* (* p p) 4) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* p p) 4) (* (* p p) 4)) (- (* (* x x) (* x x)) (* (* (* p p) 4) (* x x))))) (sqrt (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* x x)))) (sqrt (- (* (* p p) 4) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))) (log (sqrt (+ (* (* p p) 4) (* x x)))) (exp (sqrt (+ (* (* p p) 4) (* x x)))) (* (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (cbrt (sqrt (+ (* (* p p) 4) (* x x))))) (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (* (* (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (* (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (* (* p p) 4) (* x x))))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt 1) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (pow (* (* p p) 4) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* p p) 4) (* (* p p) 4)) (- (* (* x x) (* x x)) (* (* (* p p) 4) (* x x))))) (sqrt (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* x x)))) (sqrt (- (* (* p p) 4) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))) x (* 2 p) (* -2 p) x (* 2 p) (* -2 p) x (* 2 p) (* -2 p) x (* 2 p) (* -2 p) 8.277 * * [simplify]: iteration 1: (42 enodes) 8.296 * * [simplify]: iteration 2: (97 enodes) 8.341 * * [simplify]: iteration 3: (237 enodes) 8.478 * * [simplify]: iteration 4: (655 enodes) 8.934 * * [simplify]: iteration 5: (1415 enodes) 10.135 * * [simplify]: Extracting #0: cost 19 inf + 0 10.135 * * [simplify]: Extracting #1: cost 30 inf + 3 10.135 * * [simplify]: Extracting #2: cost 66 inf + 49 10.136 * * [simplify]: Extracting #3: cost 255 inf + 671 10.141 * * [simplify]: Extracting #4: cost 307 inf + 13578 10.167 * * [simplify]: Extracting #5: cost 105 inf + 74534 10.188 * * [simplify]: Extracting #6: cost 16 inf + 110879 10.224 * * [simplify]: Extracting #7: cost 0 inf + 120336 10.267 * * [simplify]: Extracting #8: cost 0 inf + 120045 10.301 * [simplify]: Simplified to: (log (sqrt (+ (* 4 (* p p)) (* x x)))) (exp (sqrt (+ (* 4 (* p p)) (* x x)))) (* (cbrt (sqrt (+ (* 4 (* p p)) (* x x)))) (cbrt (sqrt (+ (* 4 (* p p)) (* x x))))) (cbrt (sqrt (+ (* 4 (* p p)) (* x x)))) (* (+ (* 4 (* p p)) (* x x)) (sqrt (+ (* 4 (* p p)) (* x x)))) (fabs (cbrt (+ (* 4 (* p p)) (* x x)))) (sqrt (cbrt (+ (* 4 (* p p)) (* x x)))) (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) 1 (sqrt (+ (* 4 (* p p)) (* x x))) (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* (* p p) (* p p)) (* (* p p) 64)))) (sqrt (+ (* (- (* 4 (* p p)) (* x x)) (* 4 (* p p))) (* (* x x) (* x x)))) (sqrt (* (- (* 4 (* p p)) (* x x)) (+ (* 4 (* p p)) (* x x)))) (sqrt (- (* 4 (* p p)) (* x x))) 1/2 (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) (real->posit16 (sqrt (+ (* 4 (* p p)) (* x x)))) (log (sqrt (+ (* 4 (* p p)) (* x x)))) (exp (sqrt (+ (* 4 (* p p)) (* x x)))) (* (cbrt (sqrt (+ (* 4 (* p p)) (* x x)))) (cbrt (sqrt (+ (* 4 (* p p)) (* x x))))) (cbrt (sqrt (+ (* 4 (* p p)) (* x x)))) (* (+ (* 4 (* p p)) (* x x)) (sqrt (+ (* 4 (* p p)) (* x x)))) (fabs (cbrt (+ (* 4 (* p p)) (* x x)))) (sqrt (cbrt (+ (* 4 (* p p)) (* x x)))) (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) 1 (sqrt (+ (* 4 (* p p)) (* x x))) (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* (* p p) (* p p)) (* (* p p) 64)))) (sqrt (+ (* (- (* 4 (* p p)) (* x x)) (* 4 (* p p))) (* (* x x) (* x x)))) (sqrt (* (- (* 4 (* p p)) (* x x)) (+ (* 4 (* p p)) (* x x)))) (sqrt (- (* 4 (* p p)) (* x x))) 1/2 (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) (real->posit16 (sqrt (+ (* 4 (* p p)) (* x x)))) (log (sqrt (+ (* 4 (* p p)) (* x x)))) (exp (sqrt (+ (* 4 (* p p)) (* x x)))) (* (cbrt (sqrt (+ (* 4 (* p p)) (* x x)))) (cbrt (sqrt (+ (* 4 (* p p)) (* x x))))) (cbrt (sqrt (+ (* 4 (* p p)) (* x x)))) (* (+ (* 4 (* p p)) (* x x)) (sqrt (+ (* 4 (* p p)) (* x x)))) (fabs (cbrt (+ (* 4 (* p p)) (* x x)))) (sqrt (cbrt (+ (* 4 (* p p)) (* x x)))) (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) 1 (sqrt (+ (* 4 (* p p)) (* x x))) (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* (* p p) (* p p)) (* (* p p) 64)))) (sqrt (+ (* (- (* 4 (* p p)) (* x x)) (* 4 (* p p))) (* (* x x) (* x x)))) (sqrt (* (- (* 4 (* p p)) (* x x)) (+ (* 4 (* p p)) (* x x)))) (sqrt (- (* 4 (* p p)) (* x x))) 1/2 (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) (real->posit16 (sqrt (+ (* 4 (* p p)) (* x x)))) (log (sqrt (+ (* 4 (* p p)) (* x x)))) (exp (sqrt (+ (* 4 (* p p)) (* x x)))) (* (cbrt (sqrt (+ (* 4 (* p p)) (* x x)))) (cbrt (sqrt (+ (* 4 (* p p)) (* x x))))) (cbrt (sqrt (+ (* 4 (* p p)) (* x x)))) (* (+ (* 4 (* p p)) (* x x)) (sqrt (+ (* 4 (* p p)) (* x x)))) (fabs (cbrt (+ (* 4 (* p p)) (* x x)))) (sqrt (cbrt (+ (* 4 (* p p)) (* x x)))) (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) 1 (sqrt (+ (* 4 (* p p)) (* x x))) (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* (* p p) (* p p)) (* (* p p) 64)))) (sqrt (+ (* (- (* 4 (* p p)) (* x x)) (* 4 (* p p))) (* (* x x) (* x x)))) (sqrt (* (- (* 4 (* p p)) (* x x)) (+ (* 4 (* p p)) (* x x)))) (sqrt (- (* 4 (* p p)) (* x x))) 1/2 (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) (sqrt (sqrt (+ (* 4 (* p p)) (* x x)))) (real->posit16 (sqrt (+ (* 4 (* p p)) (* x x)))) x (* 2 p) (* p -2) x (* 2 p) (* p -2) x (* 2 p) (* p -2) x (* 2 p) (* p -2) 10.318 * * * [progress]: adding candidates to table 11.650 * * [progress]: iteration 4 / 4 11.650 * * * [progress]: picking best candidate 11.721 * * * * [pick]: Picked # 11.722 * * * [progress]: localizing error 11.828 * * * [progress]: generating rewritten candidates 11.828 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2 2 1 2 2 1) 11.845 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 2 1 2 1 1 2) 11.856 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 2 1 2 1 1 1) 11.866 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 2 2 1 2) 11.894 * * * [progress]: generating series expansions 11.894 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2 2 1 2 2 1) 11.895 * [backup-simplify]: Simplify (cbrt (+ (* (* p p) 4) (* x x))) into (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) 11.895 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) in (p x) around 0 11.895 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) in x 11.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2)))))) in x 11.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2))))) in x 11.895 * [taylor]: Taking taylor expansion of 1/3 in x 11.895 * [backup-simplify]: Simplify 1/3 into 1/3 11.895 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 4 (pow p 2)))) in x 11.895 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 11.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.895 * [taylor]: Taking taylor expansion of x in x 11.895 * [backup-simplify]: Simplify 0 into 0 11.895 * [backup-simplify]: Simplify 1 into 1 11.895 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 11.895 * [taylor]: Taking taylor expansion of 4 in x 11.895 * [backup-simplify]: Simplify 4 into 4 11.895 * [taylor]: Taking taylor expansion of (pow p 2) in x 11.895 * [taylor]: Taking taylor expansion of p in x 11.895 * [backup-simplify]: Simplify p into p 11.895 * [backup-simplify]: Simplify (* p p) into (pow p 2) 11.895 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 11.895 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 11.895 * [backup-simplify]: Simplify (log (* 4 (pow p 2))) into (log (* 4 (pow p 2))) 11.895 * [backup-simplify]: Simplify (* 1/3 (log (* 4 (pow p 2)))) into (* 1/3 (log (* 4 (pow p 2)))) 11.895 * [backup-simplify]: Simplify (exp (* 1/3 (log (* 4 (pow p 2))))) into (pow (* 4 (pow p 2)) 1/3) 11.895 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) in p 11.895 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2)))))) in p 11.895 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2))))) in p 11.895 * [taylor]: Taking taylor expansion of 1/3 in p 11.895 * [backup-simplify]: Simplify 1/3 into 1/3 11.895 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 4 (pow p 2)))) in p 11.895 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 11.895 * [taylor]: Taking taylor expansion of (pow x 2) in p 11.895 * [taylor]: Taking taylor expansion of x in p 11.896 * [backup-simplify]: Simplify x into x 11.896 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 11.896 * [taylor]: Taking taylor expansion of 4 in p 11.896 * [backup-simplify]: Simplify 4 into 4 11.896 * [taylor]: Taking taylor expansion of (pow p 2) in p 11.896 * [taylor]: Taking taylor expansion of p in p 11.896 * [backup-simplify]: Simplify 0 into 0 11.896 * [backup-simplify]: Simplify 1 into 1 11.896 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.896 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 11.896 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 11.896 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 11.896 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 11.896 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) in p 11.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2)))))) in p 11.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2))))) in p 11.896 * [taylor]: Taking taylor expansion of 1/3 in p 11.896 * [backup-simplify]: Simplify 1/3 into 1/3 11.896 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 4 (pow p 2)))) in p 11.896 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 11.896 * [taylor]: Taking taylor expansion of (pow x 2) in p 11.896 * [taylor]: Taking taylor expansion of x in p 11.896 * [backup-simplify]: Simplify x into x 11.896 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 11.896 * [taylor]: Taking taylor expansion of 4 in p 11.896 * [backup-simplify]: Simplify 4 into 4 11.896 * [taylor]: Taking taylor expansion of (pow p 2) in p 11.896 * [taylor]: Taking taylor expansion of p in p 11.896 * [backup-simplify]: Simplify 0 into 0 11.896 * [backup-simplify]: Simplify 1 into 1 11.896 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.896 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 11.896 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 11.896 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 11.896 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 11.896 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 11.897 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 11.897 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 11.897 * [taylor]: Taking taylor expansion of 1/3 in x 11.897 * [backup-simplify]: Simplify 1/3 into 1/3 11.897 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 11.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.897 * [taylor]: Taking taylor expansion of x in x 11.897 * [backup-simplify]: Simplify 0 into 0 11.897 * [backup-simplify]: Simplify 1 into 1 11.897 * [backup-simplify]: Simplify (* 1 1) into 1 11.897 * [backup-simplify]: Simplify (log 1) into 0 11.898 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 11.898 * [backup-simplify]: Simplify (* 1/3 (* 2 (log x))) into (* 2/3 (log x)) 11.898 * [backup-simplify]: Simplify (exp (* 2/3 (log x))) into (pow x 2/3) 11.898 * [backup-simplify]: Simplify (pow x 2/3) into (pow x 2/3) 11.898 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 11.898 * [backup-simplify]: Simplify (+ 0 0) into 0 11.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow x 2) 1)))) 1) into 0 11.899 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow x 2)))) into 0 11.900 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.900 * [taylor]: Taking taylor expansion of 0 in x 11.900 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.901 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.901 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 11.902 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log x)))) into 0 11.902 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 11.902 * [backup-simplify]: Simplify 0 into 0 11.902 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 11.903 * [backup-simplify]: Simplify (* 1 1) into 1 11.903 * [backup-simplify]: Simplify (* 4 1) into 4 11.903 * [backup-simplify]: Simplify (+ 0 4) into 4 11.904 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow x 2) 2))) (* 1 (/ (* 1 (pow (* 2 4) 1)) (pow (pow x 2) 1)))) 2) into (/ 4 (pow x 2)) 11.905 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2))))) into (* 4/3 (/ 1 (pow x 2))) 11.905 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ 1 (pow x 2))) 1) 1)))) into (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) 11.905 * [taylor]: Taking taylor expansion of (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) in x 11.905 * [taylor]: Taking taylor expansion of 4/3 in x 11.905 * [backup-simplify]: Simplify 4/3 into 4/3 11.905 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 11.905 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 11.905 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 11.905 * [taylor]: Taking taylor expansion of 1/3 in x 11.905 * [backup-simplify]: Simplify 1/3 into 1/3 11.905 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 11.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 11.905 * [taylor]: Taking taylor expansion of (pow x 4) in x 11.905 * [taylor]: Taking taylor expansion of x in x 11.905 * [backup-simplify]: Simplify 0 into 0 11.905 * [backup-simplify]: Simplify 1 into 1 11.906 * [backup-simplify]: Simplify (* 1 1) into 1 11.906 * [backup-simplify]: Simplify (* 1 1) into 1 11.906 * [backup-simplify]: Simplify (/ 1 1) into 1 11.906 * [backup-simplify]: Simplify (log 1) into 0 11.907 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 11.907 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 11.907 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 11.907 * [backup-simplify]: Simplify (* 4/3 (pow x -4/3)) into (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) 11.907 * [backup-simplify]: Simplify (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) into (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) 11.907 * [backup-simplify]: Simplify 0 into 0 11.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.909 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.910 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 11.910 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log x))))) into 0 11.911 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.911 * [backup-simplify]: Simplify 0 into 0 11.912 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 11.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.913 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 11.913 * [backup-simplify]: Simplify (+ 0 0) into 0 11.915 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow x 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 4) 1)) (pow (pow x 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow x 2) 1)))) 6) into 0 11.916 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2)))))) into 0 11.918 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 4/3 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.918 * [taylor]: Taking taylor expansion of 0 in x 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [backup-simplify]: Simplify 0 into 0 11.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.922 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 11.923 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log x))))) into 0 11.924 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 11.925 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow x -4/3))) into 0 11.925 * [backup-simplify]: Simplify 0 into 0 11.925 * [backup-simplify]: Simplify 0 into 0 11.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.930 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 11.930 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 11.931 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log x)))))) into 0 11.932 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.932 * [backup-simplify]: Simplify 0 into 0 11.933 * [backup-simplify]: Simplify (+ (* (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) (pow (* 1 p) 2)) (pow x 2/3)) into (+ (pow x 2/3) (* 4/3 (* (pow p 2) (pow (/ 1 (pow x 4)) 1/3)))) 11.933 * [backup-simplify]: Simplify (cbrt (+ (* (* (/ 1 p) (/ 1 p)) 4) (* (/ 1 x) (/ 1 x)))) into (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) 11.933 * [approximate]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in (p x) around 0 11.933 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in x 11.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 11.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 11.933 * [taylor]: Taking taylor expansion of 1/3 in x 11.933 * [backup-simplify]: Simplify 1/3 into 1/3 11.933 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 11.933 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 11.933 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 11.933 * [taylor]: Taking taylor expansion of 4 in x 11.933 * [backup-simplify]: Simplify 4 into 4 11.933 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 11.933 * [taylor]: Taking taylor expansion of (pow p 2) in x 11.933 * [taylor]: Taking taylor expansion of p in x 11.933 * [backup-simplify]: Simplify p into p 11.933 * [backup-simplify]: Simplify (* p p) into (pow p 2) 11.933 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 11.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.933 * [taylor]: Taking taylor expansion of x in x 11.933 * [backup-simplify]: Simplify 0 into 0 11.933 * [backup-simplify]: Simplify 1 into 1 11.934 * [backup-simplify]: Simplify (* 1 1) into 1 11.934 * [backup-simplify]: Simplify (/ 1 1) into 1 11.934 * [backup-simplify]: Simplify (+ 0 1) into 1 11.935 * [backup-simplify]: Simplify (log 1) into 0 11.935 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 11.935 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 11.935 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 11.935 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in p 11.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 11.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 11.935 * [taylor]: Taking taylor expansion of 1/3 in p 11.935 * [backup-simplify]: Simplify 1/3 into 1/3 11.935 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 11.935 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 11.935 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 11.935 * [taylor]: Taking taylor expansion of 4 in p 11.936 * [backup-simplify]: Simplify 4 into 4 11.936 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 11.936 * [taylor]: Taking taylor expansion of (pow p 2) in p 11.936 * [taylor]: Taking taylor expansion of p in p 11.936 * [backup-simplify]: Simplify 0 into 0 11.936 * [backup-simplify]: Simplify 1 into 1 11.936 * [backup-simplify]: Simplify (* 1 1) into 1 11.936 * [backup-simplify]: Simplify (/ 1 1) into 1 11.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 11.936 * [taylor]: Taking taylor expansion of (pow x 2) in p 11.936 * [taylor]: Taking taylor expansion of x in p 11.936 * [backup-simplify]: Simplify x into x 11.936 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.936 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.937 * [backup-simplify]: Simplify (* 4 1) into 4 11.937 * [backup-simplify]: Simplify (+ 4 0) into 4 11.937 * [backup-simplify]: Simplify (log 4) into (log 4) 11.938 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 11.938 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 11.939 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 11.939 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in p 11.939 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 11.939 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 11.939 * [taylor]: Taking taylor expansion of 1/3 in p 11.939 * [backup-simplify]: Simplify 1/3 into 1/3 11.939 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 11.939 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 11.939 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 11.939 * [taylor]: Taking taylor expansion of 4 in p 11.939 * [backup-simplify]: Simplify 4 into 4 11.939 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 11.939 * [taylor]: Taking taylor expansion of (pow p 2) in p 11.939 * [taylor]: Taking taylor expansion of p in p 11.939 * [backup-simplify]: Simplify 0 into 0 11.939 * [backup-simplify]: Simplify 1 into 1 11.939 * [backup-simplify]: Simplify (* 1 1) into 1 11.939 * [backup-simplify]: Simplify (/ 1 1) into 1 11.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 11.940 * [taylor]: Taking taylor expansion of (pow x 2) in p 11.940 * [taylor]: Taking taylor expansion of x in p 11.940 * [backup-simplify]: Simplify x into x 11.940 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.940 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.940 * [backup-simplify]: Simplify (* 4 1) into 4 11.940 * [backup-simplify]: Simplify (+ 4 0) into 4 11.941 * [backup-simplify]: Simplify (log 4) into (log 4) 11.941 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 11.941 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 11.942 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 11.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 4) (* 2 (log p))))) in x 11.942 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 4) (* 2 (log p)))) in x 11.942 * [taylor]: Taking taylor expansion of 1/3 in x 11.942 * [backup-simplify]: Simplify 1/3 into 1/3 11.942 * [taylor]: Taking taylor expansion of (- (log 4) (* 2 (log p))) in x 11.942 * [taylor]: Taking taylor expansion of (log 4) in x 11.942 * [taylor]: Taking taylor expansion of 4 in x 11.942 * [backup-simplify]: Simplify 4 into 4 11.942 * [backup-simplify]: Simplify (log 4) into (log 4) 11.942 * [taylor]: Taking taylor expansion of (* 2 (log p)) in x 11.942 * [taylor]: Taking taylor expansion of 2 in x 11.942 * [backup-simplify]: Simplify 2 into 2 11.942 * [taylor]: Taking taylor expansion of (log p) in x 11.942 * [taylor]: Taking taylor expansion of p in x 11.942 * [backup-simplify]: Simplify p into p 11.942 * [backup-simplify]: Simplify (log p) into (log p) 11.943 * [backup-simplify]: Simplify (* 2 (log p)) into (* 2 (log p)) 11.943 * [backup-simplify]: Simplify (- (* 2 (log p))) into (- (* 2 (log p))) 11.943 * [backup-simplify]: Simplify (+ (log 4) (- (* 2 (log p)))) into (- (log 4) (* 2 (log p))) 11.943 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 11.944 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 11.944 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 11.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.945 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 11.946 * [backup-simplify]: Simplify (+ 0 0) into 0 11.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 11.947 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 11.948 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 11.949 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.949 * [taylor]: Taking taylor expansion of 0 in x 11.949 * [backup-simplify]: Simplify 0 into 0 11.949 * [backup-simplify]: Simplify 0 into 0 11.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 11.950 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow p 1)))) 1) into 0 11.951 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log p))) into 0 11.951 * [backup-simplify]: Simplify (- 0) into 0 11.951 * [backup-simplify]: Simplify (+ 0 0) into 0 11.952 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 11.953 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.953 * [backup-simplify]: Simplify 0 into 0 11.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.955 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 11.955 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 11.956 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 4 1)))) 2) into (/ 1/4 (pow x 2)) 11.957 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 11.958 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (pow x 2))) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into (* 1/12 (/ 1 (pow x 2))) 11.959 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow x 2))) 1) 1)))) into (* 1/12 (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2))) 11.959 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2))) in x 11.959 * [taylor]: Taking taylor expansion of 1/12 in x 11.959 * [backup-simplify]: Simplify 1/12 into 1/12 11.960 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2)) in x 11.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 4) (* 2 (log p))))) in x 11.960 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 4) (* 2 (log p)))) in x 11.960 * [taylor]: Taking taylor expansion of 1/3 in x 11.960 * [backup-simplify]: Simplify 1/3 into 1/3 11.960 * [taylor]: Taking taylor expansion of (- (log 4) (* 2 (log p))) in x 11.960 * [taylor]: Taking taylor expansion of (log 4) in x 11.960 * [taylor]: Taking taylor expansion of 4 in x 11.960 * [backup-simplify]: Simplify 4 into 4 11.960 * [backup-simplify]: Simplify (log 4) into (log 4) 11.960 * [taylor]: Taking taylor expansion of (* 2 (log p)) in x 11.960 * [taylor]: Taking taylor expansion of 2 in x 11.960 * [backup-simplify]: Simplify 2 into 2 11.960 * [taylor]: Taking taylor expansion of (log p) in x 11.960 * [taylor]: Taking taylor expansion of p in x 11.960 * [backup-simplify]: Simplify p into p 11.960 * [backup-simplify]: Simplify (log p) into (log p) 11.961 * [backup-simplify]: Simplify (* 2 (log p)) into (* 2 (log p)) 11.961 * [backup-simplify]: Simplify (- (* 2 (log p))) into (- (* 2 (log p))) 11.961 * [backup-simplify]: Simplify (+ (log 4) (- (* 2 (log p)))) into (- (log 4) (* 2 (log p))) 11.962 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 11.962 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 11.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.962 * [taylor]: Taking taylor expansion of x in x 11.962 * [backup-simplify]: Simplify 0 into 0 11.962 * [backup-simplify]: Simplify 1 into 1 11.963 * [backup-simplify]: Simplify (* 1 1) into 1 11.963 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) 1) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 11.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 11.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow p 1)))) 1) into 0 11.966 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log p))) into 0 11.967 * [backup-simplify]: Simplify (- 0) into 0 11.967 * [backup-simplify]: Simplify (+ 0 0) into 0 11.968 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 11.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 11.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow p 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow p 1)))) 2) into 0 11.974 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log p)))) into 0 11.975 * [backup-simplify]: Simplify (- 0) into 0 11.975 * [backup-simplify]: Simplify (+ 0 0) into 0 11.976 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into 0 11.977 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.979 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (/ 0 1)))) into 0 11.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.982 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 4) (* 2 (log p)))))))) into 0 11.982 * [backup-simplify]: Simplify 0 into 0 11.982 * [backup-simplify]: Simplify 0 into 0 11.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 11.985 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow p 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow p 1)))) 2) into 0 11.986 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log p)))) into 0 11.986 * [backup-simplify]: Simplify (- 0) into 0 11.987 * [backup-simplify]: Simplify (+ 0 0) into 0 11.987 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into 0 11.989 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.989 * [backup-simplify]: Simplify 0 into 0 11.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.991 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.991 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 11.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 11.991 * [backup-simplify]: Simplify (+ 0 0) into 0 11.994 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 4 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 4 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 4 1)))) 6) into 0 11.994 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 11.995 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/4 (pow x 2))) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p))))))) into 0 12.004 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.005 * [taylor]: Taking taylor expansion of 0 in x 12.005 * [backup-simplify]: Simplify 0 into 0 12.005 * [backup-simplify]: Simplify 0 into 0 12.005 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log (/ 1 p)))))) into (exp (* 1/3 (- (log 4) (* 2 (log (/ 1 p)))))) 12.006 * [backup-simplify]: Simplify (cbrt (+ (* (* (/ 1 (- p)) (/ 1 (- p))) 4) (* (/ 1 (- x)) (/ 1 (- x))))) into (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) 12.006 * [approximate]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in (p x) around 0 12.006 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in x 12.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 12.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 12.006 * [taylor]: Taking taylor expansion of 1/3 in x 12.006 * [backup-simplify]: Simplify 1/3 into 1/3 12.006 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 12.006 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 12.006 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 12.006 * [taylor]: Taking taylor expansion of 4 in x 12.006 * [backup-simplify]: Simplify 4 into 4 12.006 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 12.006 * [taylor]: Taking taylor expansion of (pow p 2) in x 12.006 * [taylor]: Taking taylor expansion of p in x 12.006 * [backup-simplify]: Simplify p into p 12.006 * [backup-simplify]: Simplify (* p p) into (pow p 2) 12.007 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 12.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.007 * [taylor]: Taking taylor expansion of x in x 12.007 * [backup-simplify]: Simplify 0 into 0 12.007 * [backup-simplify]: Simplify 1 into 1 12.007 * [backup-simplify]: Simplify (* 1 1) into 1 12.008 * [backup-simplify]: Simplify (/ 1 1) into 1 12.008 * [backup-simplify]: Simplify (+ 0 1) into 1 12.009 * [backup-simplify]: Simplify (log 1) into 0 12.009 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 12.009 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 12.009 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 12.010 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in p 12.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 12.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 12.010 * [taylor]: Taking taylor expansion of 1/3 in p 12.010 * [backup-simplify]: Simplify 1/3 into 1/3 12.010 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.010 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.010 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.010 * [taylor]: Taking taylor expansion of 4 in p 12.010 * [backup-simplify]: Simplify 4 into 4 12.010 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.010 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.010 * [taylor]: Taking taylor expansion of p in p 12.010 * [backup-simplify]: Simplify 0 into 0 12.010 * [backup-simplify]: Simplify 1 into 1 12.010 * [backup-simplify]: Simplify (* 1 1) into 1 12.011 * [backup-simplify]: Simplify (/ 1 1) into 1 12.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.011 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.011 * [taylor]: Taking taylor expansion of x in p 12.011 * [backup-simplify]: Simplify x into x 12.011 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.011 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.012 * [backup-simplify]: Simplify (* 4 1) into 4 12.012 * [backup-simplify]: Simplify (+ 4 0) into 4 12.013 * [backup-simplify]: Simplify (log 4) into (log 4) 12.014 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.014 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.015 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.015 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in p 12.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 12.015 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 12.015 * [taylor]: Taking taylor expansion of 1/3 in p 12.015 * [backup-simplify]: Simplify 1/3 into 1/3 12.015 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.015 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.015 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.015 * [taylor]: Taking taylor expansion of 4 in p 12.015 * [backup-simplify]: Simplify 4 into 4 12.015 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.015 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.015 * [taylor]: Taking taylor expansion of p in p 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 1 into 1 12.016 * [backup-simplify]: Simplify (* 1 1) into 1 12.016 * [backup-simplify]: Simplify (/ 1 1) into 1 12.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.016 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.016 * [taylor]: Taking taylor expansion of x in p 12.016 * [backup-simplify]: Simplify x into x 12.016 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.016 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.017 * [backup-simplify]: Simplify (* 4 1) into 4 12.017 * [backup-simplify]: Simplify (+ 4 0) into 4 12.017 * [backup-simplify]: Simplify (log 4) into (log 4) 12.018 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.018 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.018 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 4) (* 2 (log p))))) in x 12.019 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 4) (* 2 (log p)))) in x 12.019 * [taylor]: Taking taylor expansion of 1/3 in x 12.019 * [backup-simplify]: Simplify 1/3 into 1/3 12.019 * [taylor]: Taking taylor expansion of (- (log 4) (* 2 (log p))) in x 12.019 * [taylor]: Taking taylor expansion of (log 4) in x 12.019 * [taylor]: Taking taylor expansion of 4 in x 12.019 * [backup-simplify]: Simplify 4 into 4 12.019 * [backup-simplify]: Simplify (log 4) into (log 4) 12.019 * [taylor]: Taking taylor expansion of (* 2 (log p)) in x 12.019 * [taylor]: Taking taylor expansion of 2 in x 12.019 * [backup-simplify]: Simplify 2 into 2 12.019 * [taylor]: Taking taylor expansion of (log p) in x 12.019 * [taylor]: Taking taylor expansion of p in x 12.019 * [backup-simplify]: Simplify p into p 12.019 * [backup-simplify]: Simplify (log p) into (log p) 12.019 * [backup-simplify]: Simplify (* 2 (log p)) into (* 2 (log p)) 12.019 * [backup-simplify]: Simplify (- (* 2 (log p))) into (- (* 2 (log p))) 12.019 * [backup-simplify]: Simplify (+ (log 4) (- (* 2 (log p)))) into (- (log 4) (* 2 (log p))) 12.020 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.020 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.021 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.022 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.022 * [backup-simplify]: Simplify (+ 0 0) into 0 12.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.025 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.025 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.026 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.026 * [taylor]: Taking taylor expansion of 0 in x 12.026 * [backup-simplify]: Simplify 0 into 0 12.026 * [backup-simplify]: Simplify 0 into 0 12.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow p 1)))) 1) into 0 12.028 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log p))) into 0 12.028 * [backup-simplify]: Simplify (- 0) into 0 12.029 * [backup-simplify]: Simplify (+ 0 0) into 0 12.029 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.030 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.030 * [backup-simplify]: Simplify 0 into 0 12.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.032 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 12.032 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 12.033 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 4 1)))) 2) into (/ 1/4 (pow x 2)) 12.034 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.034 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (pow x 2))) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into (* 1/12 (/ 1 (pow x 2))) 12.036 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow x 2))) 1) 1)))) into (* 1/12 (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2))) 12.036 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2))) in x 12.036 * [taylor]: Taking taylor expansion of 1/12 in x 12.036 * [backup-simplify]: Simplify 1/12 into 1/12 12.036 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2)) in x 12.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 4) (* 2 (log p))))) in x 12.036 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 4) (* 2 (log p)))) in x 12.036 * [taylor]: Taking taylor expansion of 1/3 in x 12.036 * [backup-simplify]: Simplify 1/3 into 1/3 12.036 * [taylor]: Taking taylor expansion of (- (log 4) (* 2 (log p))) in x 12.036 * [taylor]: Taking taylor expansion of (log 4) in x 12.036 * [taylor]: Taking taylor expansion of 4 in x 12.036 * [backup-simplify]: Simplify 4 into 4 12.036 * [backup-simplify]: Simplify (log 4) into (log 4) 12.036 * [taylor]: Taking taylor expansion of (* 2 (log p)) in x 12.036 * [taylor]: Taking taylor expansion of 2 in x 12.036 * [backup-simplify]: Simplify 2 into 2 12.036 * [taylor]: Taking taylor expansion of (log p) in x 12.036 * [taylor]: Taking taylor expansion of p in x 12.037 * [backup-simplify]: Simplify p into p 12.037 * [backup-simplify]: Simplify (log p) into (log p) 12.037 * [backup-simplify]: Simplify (* 2 (log p)) into (* 2 (log p)) 12.037 * [backup-simplify]: Simplify (- (* 2 (log p))) into (- (* 2 (log p))) 12.037 * [backup-simplify]: Simplify (+ (log 4) (- (* 2 (log p)))) into (- (log 4) (* 2 (log p))) 12.038 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.038 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.038 * [taylor]: Taking taylor expansion of x in x 12.038 * [backup-simplify]: Simplify 0 into 0 12.038 * [backup-simplify]: Simplify 1 into 1 12.039 * [backup-simplify]: Simplify (* 1 1) into 1 12.039 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) 1) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow p 1)))) 1) into 0 12.042 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log p))) into 0 12.043 * [backup-simplify]: Simplify (- 0) into 0 12.043 * [backup-simplify]: Simplify (+ 0 0) into 0 12.044 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 12.049 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow p 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow p 1)))) 2) into 0 12.050 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log p)))) into 0 12.050 * [backup-simplify]: Simplify (- 0) into 0 12.051 * [backup-simplify]: Simplify (+ 0 0) into 0 12.052 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into 0 12.054 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.057 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (/ 0 1)))) into 0 12.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.062 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 4) (* 2 (log p)))))))) into 0 12.062 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify 0 into 0 12.066 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 12.068 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow p 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow p 1)))) 2) into 0 12.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log p)))) into 0 12.069 * [backup-simplify]: Simplify (- 0) into 0 12.069 * [backup-simplify]: Simplify (+ 0 0) into 0 12.071 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into 0 12.073 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.073 * [backup-simplify]: Simplify 0 into 0 12.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.076 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.076 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 12.077 * [backup-simplify]: Simplify (+ 0 0) into 0 12.081 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 4 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 4 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 4 1)))) 6) into 0 12.082 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.083 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/4 (pow x 2))) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p))))))) into 0 12.086 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.086 * [taylor]: Taking taylor expansion of 0 in x 12.086 * [backup-simplify]: Simplify 0 into 0 12.086 * [backup-simplify]: Simplify 0 into 0 12.087 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log (/ 1 (- p))))))) into (exp (* 1/3 (- (log 4) (* 2 (log (/ -1 p)))))) 12.087 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 2 1 2 1 1 2) 12.087 * [backup-simplify]: Simplify (cbrt (+ (* (* p p) 4) (* x x))) into (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) 12.087 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) in (p x) around 0 12.087 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) in x 12.087 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2)))))) in x 12.087 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2))))) in x 12.087 * [taylor]: Taking taylor expansion of 1/3 in x 12.087 * [backup-simplify]: Simplify 1/3 into 1/3 12.087 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 4 (pow p 2)))) in x 12.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 12.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.087 * [taylor]: Taking taylor expansion of x in x 12.087 * [backup-simplify]: Simplify 0 into 0 12.087 * [backup-simplify]: Simplify 1 into 1 12.088 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 12.088 * [taylor]: Taking taylor expansion of 4 in x 12.088 * [backup-simplify]: Simplify 4 into 4 12.088 * [taylor]: Taking taylor expansion of (pow p 2) in x 12.088 * [taylor]: Taking taylor expansion of p in x 12.088 * [backup-simplify]: Simplify p into p 12.088 * [backup-simplify]: Simplify (* p p) into (pow p 2) 12.088 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 12.088 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 12.088 * [backup-simplify]: Simplify (log (* 4 (pow p 2))) into (log (* 4 (pow p 2))) 12.088 * [backup-simplify]: Simplify (* 1/3 (log (* 4 (pow p 2)))) into (* 1/3 (log (* 4 (pow p 2)))) 12.088 * [backup-simplify]: Simplify (exp (* 1/3 (log (* 4 (pow p 2))))) into (pow (* 4 (pow p 2)) 1/3) 12.088 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) in p 12.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2)))))) in p 12.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2))))) in p 12.088 * [taylor]: Taking taylor expansion of 1/3 in p 12.088 * [backup-simplify]: Simplify 1/3 into 1/3 12.088 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 4 (pow p 2)))) in p 12.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 12.089 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.089 * [taylor]: Taking taylor expansion of x in p 12.089 * [backup-simplify]: Simplify x into x 12.089 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 12.089 * [taylor]: Taking taylor expansion of 4 in p 12.089 * [backup-simplify]: Simplify 4 into 4 12.089 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.089 * [taylor]: Taking taylor expansion of p in p 12.089 * [backup-simplify]: Simplify 0 into 0 12.089 * [backup-simplify]: Simplify 1 into 1 12.089 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.089 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 12.089 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 12.089 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 12.089 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 12.089 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) in p 12.089 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2)))))) in p 12.089 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2))))) in p 12.089 * [taylor]: Taking taylor expansion of 1/3 in p 12.089 * [backup-simplify]: Simplify 1/3 into 1/3 12.089 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 4 (pow p 2)))) in p 12.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 12.089 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.089 * [taylor]: Taking taylor expansion of x in p 12.089 * [backup-simplify]: Simplify x into x 12.090 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 12.090 * [taylor]: Taking taylor expansion of 4 in p 12.090 * [backup-simplify]: Simplify 4 into 4 12.090 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.090 * [taylor]: Taking taylor expansion of p in p 12.090 * [backup-simplify]: Simplify 0 into 0 12.090 * [backup-simplify]: Simplify 1 into 1 12.090 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.090 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 12.090 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 12.090 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 12.090 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 12.090 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 12.090 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 12.090 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 12.090 * [taylor]: Taking taylor expansion of 1/3 in x 12.090 * [backup-simplify]: Simplify 1/3 into 1/3 12.090 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 12.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.090 * [taylor]: Taking taylor expansion of x in x 12.090 * [backup-simplify]: Simplify 0 into 0 12.090 * [backup-simplify]: Simplify 1 into 1 12.091 * [backup-simplify]: Simplify (* 1 1) into 1 12.092 * [backup-simplify]: Simplify (log 1) into 0 12.092 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 12.092 * [backup-simplify]: Simplify (* 1/3 (* 2 (log x))) into (* 2/3 (log x)) 12.092 * [backup-simplify]: Simplify (exp (* 2/3 (log x))) into (pow x 2/3) 12.093 * [backup-simplify]: Simplify (pow x 2/3) into (pow x 2/3) 12.093 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.093 * [backup-simplify]: Simplify (+ 0 0) into 0 12.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow x 2) 1)))) 1) into 0 12.095 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow x 2)))) into 0 12.096 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.096 * [taylor]: Taking taylor expansion of 0 in x 12.096 * [backup-simplify]: Simplify 0 into 0 12.096 * [backup-simplify]: Simplify 0 into 0 12.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.098 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.098 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 12.099 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log x)))) into 0 12.100 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 12.100 * [backup-simplify]: Simplify 0 into 0 12.100 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 12.100 * [backup-simplify]: Simplify (* 1 1) into 1 12.101 * [backup-simplify]: Simplify (* 4 1) into 4 12.101 * [backup-simplify]: Simplify (+ 0 4) into 4 12.102 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow x 2) 2))) (* 1 (/ (* 1 (pow (* 2 4) 1)) (pow (pow x 2) 1)))) 2) into (/ 4 (pow x 2)) 12.103 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2))))) into (* 4/3 (/ 1 (pow x 2))) 12.103 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ 1 (pow x 2))) 1) 1)))) into (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) 12.103 * [taylor]: Taking taylor expansion of (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) in x 12.103 * [taylor]: Taking taylor expansion of 4/3 in x 12.103 * [backup-simplify]: Simplify 4/3 into 4/3 12.103 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 12.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 12.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 12.103 * [taylor]: Taking taylor expansion of 1/3 in x 12.103 * [backup-simplify]: Simplify 1/3 into 1/3 12.103 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 12.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.103 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.103 * [taylor]: Taking taylor expansion of x in x 12.103 * [backup-simplify]: Simplify 0 into 0 12.103 * [backup-simplify]: Simplify 1 into 1 12.104 * [backup-simplify]: Simplify (* 1 1) into 1 12.104 * [backup-simplify]: Simplify (* 1 1) into 1 12.104 * [backup-simplify]: Simplify (/ 1 1) into 1 12.105 * [backup-simplify]: Simplify (log 1) into 0 12.105 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.105 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 12.105 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 12.105 * [backup-simplify]: Simplify (* 4/3 (pow x -4/3)) into (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) 12.105 * [backup-simplify]: Simplify (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) into (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) 12.106 * [backup-simplify]: Simplify 0 into 0 12.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.109 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.110 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 12.111 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log x))))) into 0 12.113 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.113 * [backup-simplify]: Simplify 0 into 0 12.114 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 12.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.115 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.116 * [backup-simplify]: Simplify (+ 0 0) into 0 12.119 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow x 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 4) 1)) (pow (pow x 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow x 2) 1)))) 6) into 0 12.120 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2)))))) into 0 12.122 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 4/3 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.122 * [taylor]: Taking taylor expansion of 0 in x 12.123 * [backup-simplify]: Simplify 0 into 0 12.123 * [backup-simplify]: Simplify 0 into 0 12.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.127 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.127 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log x))))) into 0 12.128 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 12.129 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow x -4/3))) into 0 12.129 * [backup-simplify]: Simplify 0 into 0 12.129 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.135 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.136 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 12.137 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log x)))))) into 0 12.139 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.139 * [backup-simplify]: Simplify 0 into 0 12.140 * [backup-simplify]: Simplify (+ (* (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) (pow (* 1 p) 2)) (pow x 2/3)) into (+ (pow x 2/3) (* 4/3 (* (pow p 2) (pow (/ 1 (pow x 4)) 1/3)))) 12.140 * [backup-simplify]: Simplify (cbrt (+ (* (* (/ 1 p) (/ 1 p)) 4) (* (/ 1 x) (/ 1 x)))) into (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) 12.140 * [approximate]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in (p x) around 0 12.140 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in x 12.140 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 12.140 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 12.140 * [taylor]: Taking taylor expansion of 1/3 in x 12.140 * [backup-simplify]: Simplify 1/3 into 1/3 12.140 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 12.140 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 12.140 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 12.140 * [taylor]: Taking taylor expansion of 4 in x 12.141 * [backup-simplify]: Simplify 4 into 4 12.141 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 12.141 * [taylor]: Taking taylor expansion of (pow p 2) in x 12.141 * [taylor]: Taking taylor expansion of p in x 12.141 * [backup-simplify]: Simplify p into p 12.141 * [backup-simplify]: Simplify (* p p) into (pow p 2) 12.141 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 12.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.141 * [taylor]: Taking taylor expansion of x in x 12.141 * [backup-simplify]: Simplify 0 into 0 12.141 * [backup-simplify]: Simplify 1 into 1 12.142 * [backup-simplify]: Simplify (* 1 1) into 1 12.142 * [backup-simplify]: Simplify (/ 1 1) into 1 12.142 * [backup-simplify]: Simplify (+ 0 1) into 1 12.143 * [backup-simplify]: Simplify (log 1) into 0 12.143 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 12.144 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 12.144 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 12.144 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in p 12.144 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 12.144 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 12.144 * [taylor]: Taking taylor expansion of 1/3 in p 12.144 * [backup-simplify]: Simplify 1/3 into 1/3 12.144 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.144 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.144 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.144 * [taylor]: Taking taylor expansion of 4 in p 12.144 * [backup-simplify]: Simplify 4 into 4 12.144 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.144 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.144 * [taylor]: Taking taylor expansion of p in p 12.144 * [backup-simplify]: Simplify 0 into 0 12.144 * [backup-simplify]: Simplify 1 into 1 12.145 * [backup-simplify]: Simplify (* 1 1) into 1 12.145 * [backup-simplify]: Simplify (/ 1 1) into 1 12.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.145 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.145 * [taylor]: Taking taylor expansion of x in p 12.145 * [backup-simplify]: Simplify x into x 12.145 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.145 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.146 * [backup-simplify]: Simplify (* 4 1) into 4 12.152 * [backup-simplify]: Simplify (+ 4 0) into 4 12.153 * [backup-simplify]: Simplify (log 4) into (log 4) 12.154 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.155 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.155 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.155 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in p 12.155 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 12.155 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 12.156 * [taylor]: Taking taylor expansion of 1/3 in p 12.156 * [backup-simplify]: Simplify 1/3 into 1/3 12.156 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.156 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.156 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.156 * [taylor]: Taking taylor expansion of 4 in p 12.156 * [backup-simplify]: Simplify 4 into 4 12.156 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.156 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.156 * [taylor]: Taking taylor expansion of p in p 12.156 * [backup-simplify]: Simplify 0 into 0 12.156 * [backup-simplify]: Simplify 1 into 1 12.156 * [backup-simplify]: Simplify (* 1 1) into 1 12.157 * [backup-simplify]: Simplify (/ 1 1) into 1 12.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.157 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.157 * [taylor]: Taking taylor expansion of x in p 12.157 * [backup-simplify]: Simplify x into x 12.157 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.157 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.158 * [backup-simplify]: Simplify (* 4 1) into 4 12.158 * [backup-simplify]: Simplify (+ 4 0) into 4 12.159 * [backup-simplify]: Simplify (log 4) into (log 4) 12.159 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.160 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.161 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.161 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 4) (* 2 (log p))))) in x 12.161 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 4) (* 2 (log p)))) in x 12.161 * [taylor]: Taking taylor expansion of 1/3 in x 12.161 * [backup-simplify]: Simplify 1/3 into 1/3 12.161 * [taylor]: Taking taylor expansion of (- (log 4) (* 2 (log p))) in x 12.161 * [taylor]: Taking taylor expansion of (log 4) in x 12.161 * [taylor]: Taking taylor expansion of 4 in x 12.161 * [backup-simplify]: Simplify 4 into 4 12.161 * [backup-simplify]: Simplify (log 4) into (log 4) 12.161 * [taylor]: Taking taylor expansion of (* 2 (log p)) in x 12.161 * [taylor]: Taking taylor expansion of 2 in x 12.161 * [backup-simplify]: Simplify 2 into 2 12.162 * [taylor]: Taking taylor expansion of (log p) in x 12.162 * [taylor]: Taking taylor expansion of p in x 12.162 * [backup-simplify]: Simplify p into p 12.162 * [backup-simplify]: Simplify (log p) into (log p) 12.162 * [backup-simplify]: Simplify (* 2 (log p)) into (* 2 (log p)) 12.162 * [backup-simplify]: Simplify (- (* 2 (log p))) into (- (* 2 (log p))) 12.162 * [backup-simplify]: Simplify (+ (log 4) (- (* 2 (log p)))) into (- (log 4) (* 2 (log p))) 12.163 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.163 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.164 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.166 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.167 * [backup-simplify]: Simplify (+ 0 0) into 0 12.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.169 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.170 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.171 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.171 * [taylor]: Taking taylor expansion of 0 in x 12.171 * [backup-simplify]: Simplify 0 into 0 12.171 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow p 1)))) 1) into 0 12.173 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log p))) into 0 12.173 * [backup-simplify]: Simplify (- 0) into 0 12.174 * [backup-simplify]: Simplify (+ 0 0) into 0 12.174 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.175 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.175 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.177 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 12.177 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 12.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 4 1)))) 2) into (/ 1/4 (pow x 2)) 12.180 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.181 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (pow x 2))) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into (* 1/12 (/ 1 (pow x 2))) 12.184 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow x 2))) 1) 1)))) into (* 1/12 (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2))) 12.184 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2))) in x 12.184 * [taylor]: Taking taylor expansion of 1/12 in x 12.184 * [backup-simplify]: Simplify 1/12 into 1/12 12.184 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2)) in x 12.184 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 4) (* 2 (log p))))) in x 12.184 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 4) (* 2 (log p)))) in x 12.184 * [taylor]: Taking taylor expansion of 1/3 in x 12.184 * [backup-simplify]: Simplify 1/3 into 1/3 12.184 * [taylor]: Taking taylor expansion of (- (log 4) (* 2 (log p))) in x 12.184 * [taylor]: Taking taylor expansion of (log 4) in x 12.184 * [taylor]: Taking taylor expansion of 4 in x 12.184 * [backup-simplify]: Simplify 4 into 4 12.185 * [backup-simplify]: Simplify (log 4) into (log 4) 12.185 * [taylor]: Taking taylor expansion of (* 2 (log p)) in x 12.185 * [taylor]: Taking taylor expansion of 2 in x 12.185 * [backup-simplify]: Simplify 2 into 2 12.185 * [taylor]: Taking taylor expansion of (log p) in x 12.185 * [taylor]: Taking taylor expansion of p in x 12.185 * [backup-simplify]: Simplify p into p 12.185 * [backup-simplify]: Simplify (log p) into (log p) 12.185 * [backup-simplify]: Simplify (* 2 (log p)) into (* 2 (log p)) 12.185 * [backup-simplify]: Simplify (- (* 2 (log p))) into (- (* 2 (log p))) 12.186 * [backup-simplify]: Simplify (+ (log 4) (- (* 2 (log p)))) into (- (log 4) (* 2 (log p))) 12.186 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.187 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.187 * [taylor]: Taking taylor expansion of x in x 12.187 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify 1 into 1 12.187 * [backup-simplify]: Simplify (* 1 1) into 1 12.188 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) 1) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow p 1)))) 1) into 0 12.191 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log p))) into 0 12.191 * [backup-simplify]: Simplify (- 0) into 0 12.192 * [backup-simplify]: Simplify (+ 0 0) into 0 12.193 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 12.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow p 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow p 1)))) 2) into 0 12.198 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log p)))) into 0 12.199 * [backup-simplify]: Simplify (- 0) into 0 12.199 * [backup-simplify]: Simplify (+ 0 0) into 0 12.201 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into 0 12.202 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.205 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (/ 0 1)))) into 0 12.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.210 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 4) (* 2 (log p)))))))) into 0 12.210 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify 0 into 0 12.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 12.214 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow p 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow p 1)))) 2) into 0 12.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log p)))) into 0 12.215 * [backup-simplify]: Simplify (- 0) into 0 12.216 * [backup-simplify]: Simplify (+ 0 0) into 0 12.217 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into 0 12.218 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.218 * [backup-simplify]: Simplify 0 into 0 12.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.220 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.220 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 12.220 * [backup-simplify]: Simplify (+ 0 0) into 0 12.223 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 4 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 4 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 4 1)))) 6) into 0 12.223 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.224 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/4 (pow x 2))) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p))))))) into 0 12.226 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.226 * [taylor]: Taking taylor expansion of 0 in x 12.226 * [backup-simplify]: Simplify 0 into 0 12.226 * [backup-simplify]: Simplify 0 into 0 12.226 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log (/ 1 p)))))) into (exp (* 1/3 (- (log 4) (* 2 (log (/ 1 p)))))) 12.227 * [backup-simplify]: Simplify (cbrt (+ (* (* (/ 1 (- p)) (/ 1 (- p))) 4) (* (/ 1 (- x)) (/ 1 (- x))))) into (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) 12.227 * [approximate]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in (p x) around 0 12.227 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in x 12.227 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 12.227 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 12.227 * [taylor]: Taking taylor expansion of 1/3 in x 12.227 * [backup-simplify]: Simplify 1/3 into 1/3 12.227 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 12.227 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 12.227 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 12.227 * [taylor]: Taking taylor expansion of 4 in x 12.227 * [backup-simplify]: Simplify 4 into 4 12.227 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 12.227 * [taylor]: Taking taylor expansion of (pow p 2) in x 12.227 * [taylor]: Taking taylor expansion of p in x 12.227 * [backup-simplify]: Simplify p into p 12.227 * [backup-simplify]: Simplify (* p p) into (pow p 2) 12.227 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 12.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.227 * [taylor]: Taking taylor expansion of x in x 12.227 * [backup-simplify]: Simplify 0 into 0 12.227 * [backup-simplify]: Simplify 1 into 1 12.227 * [backup-simplify]: Simplify (* 1 1) into 1 12.228 * [backup-simplify]: Simplify (/ 1 1) into 1 12.228 * [backup-simplify]: Simplify (+ 0 1) into 1 12.228 * [backup-simplify]: Simplify (log 1) into 0 12.229 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 12.229 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 12.229 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 12.229 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in p 12.229 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 12.229 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 12.229 * [taylor]: Taking taylor expansion of 1/3 in p 12.229 * [backup-simplify]: Simplify 1/3 into 1/3 12.229 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.229 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.229 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.229 * [taylor]: Taking taylor expansion of 4 in p 12.229 * [backup-simplify]: Simplify 4 into 4 12.229 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.229 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.229 * [taylor]: Taking taylor expansion of p in p 12.229 * [backup-simplify]: Simplify 0 into 0 12.229 * [backup-simplify]: Simplify 1 into 1 12.229 * [backup-simplify]: Simplify (* 1 1) into 1 12.229 * [backup-simplify]: Simplify (/ 1 1) into 1 12.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.230 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.230 * [taylor]: Taking taylor expansion of x in p 12.230 * [backup-simplify]: Simplify x into x 12.230 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.230 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.230 * [backup-simplify]: Simplify (* 4 1) into 4 12.230 * [backup-simplify]: Simplify (+ 4 0) into 4 12.231 * [backup-simplify]: Simplify (log 4) into (log 4) 12.231 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.231 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.232 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.232 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in p 12.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 12.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 12.232 * [taylor]: Taking taylor expansion of 1/3 in p 12.232 * [backup-simplify]: Simplify 1/3 into 1/3 12.232 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.232 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.232 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.232 * [taylor]: Taking taylor expansion of 4 in p 12.232 * [backup-simplify]: Simplify 4 into 4 12.232 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.232 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.232 * [taylor]: Taking taylor expansion of p in p 12.232 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify 1 into 1 12.232 * [backup-simplify]: Simplify (* 1 1) into 1 12.233 * [backup-simplify]: Simplify (/ 1 1) into 1 12.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.233 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.233 * [taylor]: Taking taylor expansion of x in p 12.233 * [backup-simplify]: Simplify x into x 12.233 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.233 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.233 * [backup-simplify]: Simplify (* 4 1) into 4 12.233 * [backup-simplify]: Simplify (+ 4 0) into 4 12.234 * [backup-simplify]: Simplify (log 4) into (log 4) 12.234 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.235 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.235 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.235 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 4) (* 2 (log p))))) in x 12.235 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 4) (* 2 (log p)))) in x 12.235 * [taylor]: Taking taylor expansion of 1/3 in x 12.235 * [backup-simplify]: Simplify 1/3 into 1/3 12.235 * [taylor]: Taking taylor expansion of (- (log 4) (* 2 (log p))) in x 12.235 * [taylor]: Taking taylor expansion of (log 4) in x 12.235 * [taylor]: Taking taylor expansion of 4 in x 12.236 * [backup-simplify]: Simplify 4 into 4 12.236 * [backup-simplify]: Simplify (log 4) into (log 4) 12.236 * [taylor]: Taking taylor expansion of (* 2 (log p)) in x 12.236 * [taylor]: Taking taylor expansion of 2 in x 12.236 * [backup-simplify]: Simplify 2 into 2 12.236 * [taylor]: Taking taylor expansion of (log p) in x 12.236 * [taylor]: Taking taylor expansion of p in x 12.236 * [backup-simplify]: Simplify p into p 12.236 * [backup-simplify]: Simplify (log p) into (log p) 12.236 * [backup-simplify]: Simplify (* 2 (log p)) into (* 2 (log p)) 12.236 * [backup-simplify]: Simplify (- (* 2 (log p))) into (- (* 2 (log p))) 12.237 * [backup-simplify]: Simplify (+ (log 4) (- (* 2 (log p)))) into (- (log 4) (* 2 (log p))) 12.238 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.238 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.239 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.241 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.242 * [backup-simplify]: Simplify (+ 0 0) into 0 12.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.244 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.245 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.246 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.246 * [taylor]: Taking taylor expansion of 0 in x 12.246 * [backup-simplify]: Simplify 0 into 0 12.247 * [backup-simplify]: Simplify 0 into 0 12.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow p 1)))) 1) into 0 12.249 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log p))) into 0 12.250 * [backup-simplify]: Simplify (- 0) into 0 12.250 * [backup-simplify]: Simplify (+ 0 0) into 0 12.251 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.253 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.253 * [backup-simplify]: Simplify 0 into 0 12.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.256 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 12.256 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 12.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 4 1)))) 2) into (/ 1/4 (pow x 2)) 12.259 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.260 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (pow x 2))) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into (* 1/12 (/ 1 (pow x 2))) 12.261 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow x 2))) 1) 1)))) into (* 1/12 (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2))) 12.261 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2))) in x 12.261 * [taylor]: Taking taylor expansion of 1/12 in x 12.261 * [backup-simplify]: Simplify 1/12 into 1/12 12.262 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2)) in x 12.262 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 4) (* 2 (log p))))) in x 12.262 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 4) (* 2 (log p)))) in x 12.262 * [taylor]: Taking taylor expansion of 1/3 in x 12.262 * [backup-simplify]: Simplify 1/3 into 1/3 12.262 * [taylor]: Taking taylor expansion of (- (log 4) (* 2 (log p))) in x 12.262 * [taylor]: Taking taylor expansion of (log 4) in x 12.262 * [taylor]: Taking taylor expansion of 4 in x 12.262 * [backup-simplify]: Simplify 4 into 4 12.262 * [backup-simplify]: Simplify (log 4) into (log 4) 12.262 * [taylor]: Taking taylor expansion of (* 2 (log p)) in x 12.262 * [taylor]: Taking taylor expansion of 2 in x 12.262 * [backup-simplify]: Simplify 2 into 2 12.262 * [taylor]: Taking taylor expansion of (log p) in x 12.262 * [taylor]: Taking taylor expansion of p in x 12.262 * [backup-simplify]: Simplify p into p 12.262 * [backup-simplify]: Simplify (log p) into (log p) 12.263 * [backup-simplify]: Simplify (* 2 (log p)) into (* 2 (log p)) 12.263 * [backup-simplify]: Simplify (- (* 2 (log p))) into (- (* 2 (log p))) 12.263 * [backup-simplify]: Simplify (+ (log 4) (- (* 2 (log p)))) into (- (log 4) (* 2 (log p))) 12.264 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.264 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.264 * [taylor]: Taking taylor expansion of x in x 12.264 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify 1 into 1 12.265 * [backup-simplify]: Simplify (* 1 1) into 1 12.265 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) 1) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow p 1)))) 1) into 0 12.268 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log p))) into 0 12.269 * [backup-simplify]: Simplify (- 0) into 0 12.269 * [backup-simplify]: Simplify (+ 0 0) into 0 12.270 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 12.275 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow p 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow p 1)))) 2) into 0 12.276 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log p)))) into 0 12.276 * [backup-simplify]: Simplify (- 0) into 0 12.277 * [backup-simplify]: Simplify (+ 0 0) into 0 12.278 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into 0 12.280 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.282 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (/ 0 1)))) into 0 12.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.288 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 4) (* 2 (log p)))))))) into 0 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 0 into 0 12.297 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 12.300 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow p 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow p 1)))) 2) into 0 12.301 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log p)))) into 0 12.301 * [backup-simplify]: Simplify (- 0) into 0 12.302 * [backup-simplify]: Simplify (+ 0 0) into 0 12.303 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into 0 12.305 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.305 * [backup-simplify]: Simplify 0 into 0 12.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.308 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.309 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 12.309 * [backup-simplify]: Simplify (+ 0 0) into 0 12.313 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 4 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 4 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 4 1)))) 6) into 0 12.314 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.316 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/4 (pow x 2))) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p))))))) into 0 12.319 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.319 * [taylor]: Taking taylor expansion of 0 in x 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log (/ 1 (- p))))))) into (exp (* 1/3 (- (log 4) (* 2 (log (/ -1 p)))))) 12.320 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 2 1 2 1 1 1) 12.320 * [backup-simplify]: Simplify (cbrt (+ (* (* p p) 4) (* x x))) into (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) 12.320 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) in (p x) around 0 12.320 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) in x 12.320 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2)))))) in x 12.320 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2))))) in x 12.320 * [taylor]: Taking taylor expansion of 1/3 in x 12.320 * [backup-simplify]: Simplify 1/3 into 1/3 12.320 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 4 (pow p 2)))) in x 12.320 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 12.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.320 * [taylor]: Taking taylor expansion of x in x 12.320 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify 1 into 1 12.320 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 12.320 * [taylor]: Taking taylor expansion of 4 in x 12.320 * [backup-simplify]: Simplify 4 into 4 12.320 * [taylor]: Taking taylor expansion of (pow p 2) in x 12.320 * [taylor]: Taking taylor expansion of p in x 12.320 * [backup-simplify]: Simplify p into p 12.320 * [backup-simplify]: Simplify (* p p) into (pow p 2) 12.321 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 12.321 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 12.321 * [backup-simplify]: Simplify (log (* 4 (pow p 2))) into (log (* 4 (pow p 2))) 12.321 * [backup-simplify]: Simplify (* 1/3 (log (* 4 (pow p 2)))) into (* 1/3 (log (* 4 (pow p 2)))) 12.321 * [backup-simplify]: Simplify (exp (* 1/3 (log (* 4 (pow p 2))))) into (pow (* 4 (pow p 2)) 1/3) 12.321 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) in p 12.321 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2)))))) in p 12.321 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2))))) in p 12.321 * [taylor]: Taking taylor expansion of 1/3 in p 12.321 * [backup-simplify]: Simplify 1/3 into 1/3 12.321 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 4 (pow p 2)))) in p 12.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 12.321 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.321 * [taylor]: Taking taylor expansion of x in p 12.321 * [backup-simplify]: Simplify x into x 12.321 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 12.321 * [taylor]: Taking taylor expansion of 4 in p 12.321 * [backup-simplify]: Simplify 4 into 4 12.321 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.321 * [taylor]: Taking taylor expansion of p in p 12.321 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify 1 into 1 12.322 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.322 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 12.322 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 12.322 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 12.322 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 12.322 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (* 4 (pow p 2))) 1/3) in p 12.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2)))))) in p 12.322 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (* 4 (pow p 2))))) in p 12.322 * [taylor]: Taking taylor expansion of 1/3 in p 12.322 * [backup-simplify]: Simplify 1/3 into 1/3 12.322 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (* 4 (pow p 2)))) in p 12.322 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 12.322 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.322 * [taylor]: Taking taylor expansion of x in p 12.322 * [backup-simplify]: Simplify x into x 12.322 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 12.322 * [taylor]: Taking taylor expansion of 4 in p 12.322 * [backup-simplify]: Simplify 4 into 4 12.322 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.322 * [taylor]: Taking taylor expansion of p in p 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify 1 into 1 12.322 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.323 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 12.323 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 12.323 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2))) 12.323 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3) 12.323 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 12.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 12.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 12.323 * [taylor]: Taking taylor expansion of 1/3 in x 12.323 * [backup-simplify]: Simplify 1/3 into 1/3 12.323 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 12.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.323 * [taylor]: Taking taylor expansion of x in x 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.324 * [backup-simplify]: Simplify (* 1 1) into 1 12.324 * [backup-simplify]: Simplify (log 1) into 0 12.325 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 12.325 * [backup-simplify]: Simplify (* 1/3 (* 2 (log x))) into (* 2/3 (log x)) 12.325 * [backup-simplify]: Simplify (exp (* 2/3 (log x))) into (pow x 2/3) 12.325 * [backup-simplify]: Simplify (pow x 2/3) into (pow x 2/3) 12.325 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.325 * [backup-simplify]: Simplify (+ 0 0) into 0 12.326 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow x 2) 1)))) 1) into 0 12.327 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow x 2)))) into 0 12.328 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.328 * [taylor]: Taking taylor expansion of 0 in x 12.328 * [backup-simplify]: Simplify 0 into 0 12.328 * [backup-simplify]: Simplify 0 into 0 12.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.330 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 12.331 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log x)))) into 0 12.332 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 12.332 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 12.333 * [backup-simplify]: Simplify (* 1 1) into 1 12.334 * [backup-simplify]: Simplify (* 4 1) into 4 12.335 * [backup-simplify]: Simplify (+ 0 4) into 4 12.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow x 2) 2))) (* 1 (/ (* 1 (pow (* 2 4) 1)) (pow (pow x 2) 1)))) 2) into (/ 4 (pow x 2)) 12.337 * [backup-simplify]: Simplify (+ (* 1/3 (/ 4 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2))))) into (* 4/3 (/ 1 (pow x 2))) 12.338 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 4/3 (/ 1 (pow x 2))) 1) 1)))) into (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) 12.338 * [taylor]: Taking taylor expansion of (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) in x 12.338 * [taylor]: Taking taylor expansion of 4/3 in x 12.338 * [backup-simplify]: Simplify 4/3 into 4/3 12.338 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x 12.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x 12.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x 12.338 * [taylor]: Taking taylor expansion of 1/3 in x 12.338 * [backup-simplify]: Simplify 1/3 into 1/3 12.339 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x 12.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 12.339 * [taylor]: Taking taylor expansion of (pow x 4) in x 12.339 * [taylor]: Taking taylor expansion of x in x 12.339 * [backup-simplify]: Simplify 0 into 0 12.339 * [backup-simplify]: Simplify 1 into 1 12.339 * [backup-simplify]: Simplify (* 1 1) into 1 12.340 * [backup-simplify]: Simplify (* 1 1) into 1 12.340 * [backup-simplify]: Simplify (/ 1 1) into 1 12.340 * [backup-simplify]: Simplify (log 1) into 0 12.341 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.341 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x)) 12.341 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3) 12.341 * [backup-simplify]: Simplify (* 4/3 (pow x -4/3)) into (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) 12.341 * [backup-simplify]: Simplify (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) into (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) 12.341 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.345 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.346 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 12.347 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log x))))) into 0 12.349 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.349 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 12.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.352 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.352 * [backup-simplify]: Simplify (+ 0 0) into 0 12.355 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow x 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 4) 1)) (pow (pow x 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow x 2) 1)))) 6) into 0 12.356 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 4 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2)))))) into 0 12.359 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 4/3 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.359 * [taylor]: Taking taylor expansion of 0 in x 12.359 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.363 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x))) 12.364 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log x))))) into 0 12.365 * [backup-simplify]: Simplify (* (exp (* -4/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 12.365 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (pow x -4/3))) into 0 12.365 * [backup-simplify]: Simplify 0 into 0 12.365 * [backup-simplify]: Simplify 0 into 0 12.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.371 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.372 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x)) 12.374 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log x)))))) into 0 12.376 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.376 * [backup-simplify]: Simplify 0 into 0 12.376 * [backup-simplify]: Simplify (+ (* (* 4/3 (pow (/ 1 (pow x 4)) 1/3)) (pow (* 1 p) 2)) (pow x 2/3)) into (+ (pow x 2/3) (* 4/3 (* (pow p 2) (pow (/ 1 (pow x 4)) 1/3)))) 12.376 * [backup-simplify]: Simplify (cbrt (+ (* (* (/ 1 p) (/ 1 p)) 4) (* (/ 1 x) (/ 1 x)))) into (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) 12.377 * [approximate]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in (p x) around 0 12.377 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in x 12.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 12.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 12.377 * [taylor]: Taking taylor expansion of 1/3 in x 12.377 * [backup-simplify]: Simplify 1/3 into 1/3 12.377 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 12.377 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 12.377 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 12.377 * [taylor]: Taking taylor expansion of 4 in x 12.377 * [backup-simplify]: Simplify 4 into 4 12.377 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 12.377 * [taylor]: Taking taylor expansion of (pow p 2) in x 12.377 * [taylor]: Taking taylor expansion of p in x 12.377 * [backup-simplify]: Simplify p into p 12.377 * [backup-simplify]: Simplify (* p p) into (pow p 2) 12.377 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 12.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.377 * [taylor]: Taking taylor expansion of x in x 12.377 * [backup-simplify]: Simplify 0 into 0 12.377 * [backup-simplify]: Simplify 1 into 1 12.378 * [backup-simplify]: Simplify (* 1 1) into 1 12.378 * [backup-simplify]: Simplify (/ 1 1) into 1 12.379 * [backup-simplify]: Simplify (+ 0 1) into 1 12.379 * [backup-simplify]: Simplify (log 1) into 0 12.379 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 12.379 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 12.379 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 12.379 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in p 12.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 12.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 12.380 * [taylor]: Taking taylor expansion of 1/3 in p 12.380 * [backup-simplify]: Simplify 1/3 into 1/3 12.380 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.380 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.380 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.380 * [taylor]: Taking taylor expansion of 4 in p 12.380 * [backup-simplify]: Simplify 4 into 4 12.380 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.380 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.380 * [taylor]: Taking taylor expansion of p in p 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 1 into 1 12.380 * [backup-simplify]: Simplify (* 1 1) into 1 12.380 * [backup-simplify]: Simplify (/ 1 1) into 1 12.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.380 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.380 * [taylor]: Taking taylor expansion of x in p 12.380 * [backup-simplify]: Simplify x into x 12.380 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.381 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.381 * [backup-simplify]: Simplify (* 4 1) into 4 12.381 * [backup-simplify]: Simplify (+ 4 0) into 4 12.381 * [backup-simplify]: Simplify (log 4) into (log 4) 12.382 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.382 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.383 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.383 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in p 12.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 12.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 12.383 * [taylor]: Taking taylor expansion of 1/3 in p 12.383 * [backup-simplify]: Simplify 1/3 into 1/3 12.383 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.383 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.383 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.383 * [taylor]: Taking taylor expansion of 4 in p 12.383 * [backup-simplify]: Simplify 4 into 4 12.383 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.383 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.383 * [taylor]: Taking taylor expansion of p in p 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 1 into 1 12.383 * [backup-simplify]: Simplify (* 1 1) into 1 12.384 * [backup-simplify]: Simplify (/ 1 1) into 1 12.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.384 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.384 * [taylor]: Taking taylor expansion of x in p 12.384 * [backup-simplify]: Simplify x into x 12.384 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.384 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.384 * [backup-simplify]: Simplify (* 4 1) into 4 12.384 * [backup-simplify]: Simplify (+ 4 0) into 4 12.385 * [backup-simplify]: Simplify (log 4) into (log 4) 12.385 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.386 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.386 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 4) (* 2 (log p))))) in x 12.386 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 4) (* 2 (log p)))) in x 12.386 * [taylor]: Taking taylor expansion of 1/3 in x 12.386 * [backup-simplify]: Simplify 1/3 into 1/3 12.386 * [taylor]: Taking taylor expansion of (- (log 4) (* 2 (log p))) in x 12.386 * [taylor]: Taking taylor expansion of (log 4) in x 12.386 * [taylor]: Taking taylor expansion of 4 in x 12.386 * [backup-simplify]: Simplify 4 into 4 12.386 * [backup-simplify]: Simplify (log 4) into (log 4) 12.386 * [taylor]: Taking taylor expansion of (* 2 (log p)) in x 12.386 * [taylor]: Taking taylor expansion of 2 in x 12.386 * [backup-simplify]: Simplify 2 into 2 12.386 * [taylor]: Taking taylor expansion of (log p) in x 12.386 * [taylor]: Taking taylor expansion of p in x 12.386 * [backup-simplify]: Simplify p into p 12.386 * [backup-simplify]: Simplify (log p) into (log p) 12.387 * [backup-simplify]: Simplify (* 2 (log p)) into (* 2 (log p)) 12.387 * [backup-simplify]: Simplify (- (* 2 (log p))) into (- (* 2 (log p))) 12.387 * [backup-simplify]: Simplify (+ (log 4) (- (* 2 (log p)))) into (- (log 4) (* 2 (log p))) 12.387 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.388 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.388 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.389 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.390 * [backup-simplify]: Simplify (+ 0 0) into 0 12.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.391 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.392 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.393 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.393 * [taylor]: Taking taylor expansion of 0 in x 12.393 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.394 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow p 1)))) 1) into 0 12.395 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log p))) into 0 12.395 * [backup-simplify]: Simplify (- 0) into 0 12.395 * [backup-simplify]: Simplify (+ 0 0) into 0 12.396 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.397 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.397 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.398 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 12.398 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 12.400 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 4 1)))) 2) into (/ 1/4 (pow x 2)) 12.401 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.402 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (pow x 2))) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into (* 1/12 (/ 1 (pow x 2))) 12.403 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow x 2))) 1) 1)))) into (* 1/12 (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2))) 12.403 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2))) in x 12.403 * [taylor]: Taking taylor expansion of 1/12 in x 12.403 * [backup-simplify]: Simplify 1/12 into 1/12 12.403 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2)) in x 12.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 4) (* 2 (log p))))) in x 12.403 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 4) (* 2 (log p)))) in x 12.403 * [taylor]: Taking taylor expansion of 1/3 in x 12.403 * [backup-simplify]: Simplify 1/3 into 1/3 12.403 * [taylor]: Taking taylor expansion of (- (log 4) (* 2 (log p))) in x 12.403 * [taylor]: Taking taylor expansion of (log 4) in x 12.403 * [taylor]: Taking taylor expansion of 4 in x 12.404 * [backup-simplify]: Simplify 4 into 4 12.404 * [backup-simplify]: Simplify (log 4) into (log 4) 12.404 * [taylor]: Taking taylor expansion of (* 2 (log p)) in x 12.404 * [taylor]: Taking taylor expansion of 2 in x 12.404 * [backup-simplify]: Simplify 2 into 2 12.404 * [taylor]: Taking taylor expansion of (log p) in x 12.404 * [taylor]: Taking taylor expansion of p in x 12.404 * [backup-simplify]: Simplify p into p 12.404 * [backup-simplify]: Simplify (log p) into (log p) 12.404 * [backup-simplify]: Simplify (* 2 (log p)) into (* 2 (log p)) 12.404 * [backup-simplify]: Simplify (- (* 2 (log p))) into (- (* 2 (log p))) 12.405 * [backup-simplify]: Simplify (+ (log 4) (- (* 2 (log p)))) into (- (log 4) (* 2 (log p))) 12.405 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.405 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.405 * [taylor]: Taking taylor expansion of x in x 12.405 * [backup-simplify]: Simplify 0 into 0 12.405 * [backup-simplify]: Simplify 1 into 1 12.406 * [backup-simplify]: Simplify (* 1 1) into 1 12.406 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) 1) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow p 1)))) 1) into 0 12.408 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log p))) into 0 12.408 * [backup-simplify]: Simplify (- 0) into 0 12.409 * [backup-simplify]: Simplify (+ 0 0) into 0 12.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 12.412 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow p 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow p 1)))) 2) into 0 12.413 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log p)))) into 0 12.413 * [backup-simplify]: Simplify (- 0) into 0 12.413 * [backup-simplify]: Simplify (+ 0 0) into 0 12.414 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into 0 12.415 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.417 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 4) (* 2 (log p)))))))) into 0 12.420 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 0 into 0 12.422 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 12.423 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow p 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow p 1)))) 2) into 0 12.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log p)))) into 0 12.424 * [backup-simplify]: Simplify (- 0) into 0 12.425 * [backup-simplify]: Simplify (+ 0 0) into 0 12.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into 0 12.427 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.434 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.434 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 12.435 * [backup-simplify]: Simplify (+ 0 0) into 0 12.438 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 4 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 4 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 4 1)))) 6) into 0 12.439 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.440 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/4 (pow x 2))) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p))))))) into 0 12.443 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.443 * [taylor]: Taking taylor expansion of 0 in x 12.443 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify 0 into 0 12.444 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log (/ 1 p)))))) into (exp (* 1/3 (- (log 4) (* 2 (log (/ 1 p)))))) 12.444 * [backup-simplify]: Simplify (cbrt (+ (* (* (/ 1 (- p)) (/ 1 (- p))) 4) (* (/ 1 (- x)) (/ 1 (- x))))) into (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) 12.444 * [approximate]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in (p x) around 0 12.444 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in x 12.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in x 12.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in x 12.445 * [taylor]: Taking taylor expansion of 1/3 in x 12.445 * [backup-simplify]: Simplify 1/3 into 1/3 12.445 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 12.445 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 12.445 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 12.445 * [taylor]: Taking taylor expansion of 4 in x 12.445 * [backup-simplify]: Simplify 4 into 4 12.445 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 12.445 * [taylor]: Taking taylor expansion of (pow p 2) in x 12.445 * [taylor]: Taking taylor expansion of p in x 12.445 * [backup-simplify]: Simplify p into p 12.445 * [backup-simplify]: Simplify (* p p) into (pow p 2) 12.445 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 12.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.445 * [taylor]: Taking taylor expansion of x in x 12.445 * [backup-simplify]: Simplify 0 into 0 12.445 * [backup-simplify]: Simplify 1 into 1 12.446 * [backup-simplify]: Simplify (* 1 1) into 1 12.446 * [backup-simplify]: Simplify (/ 1 1) into 1 12.447 * [backup-simplify]: Simplify (+ 0 1) into 1 12.447 * [backup-simplify]: Simplify (log 1) into 0 12.448 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 12.448 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x)) 12.448 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3) 12.448 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in p 12.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 12.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 12.448 * [taylor]: Taking taylor expansion of 1/3 in p 12.448 * [backup-simplify]: Simplify 1/3 into 1/3 12.448 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.448 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.448 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.448 * [taylor]: Taking taylor expansion of 4 in p 12.448 * [backup-simplify]: Simplify 4 into 4 12.448 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.448 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.448 * [taylor]: Taking taylor expansion of p in p 12.448 * [backup-simplify]: Simplify 0 into 0 12.448 * [backup-simplify]: Simplify 1 into 1 12.449 * [backup-simplify]: Simplify (* 1 1) into 1 12.449 * [backup-simplify]: Simplify (/ 1 1) into 1 12.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.449 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.449 * [taylor]: Taking taylor expansion of x in p 12.449 * [backup-simplify]: Simplify x into x 12.449 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.449 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.450 * [backup-simplify]: Simplify (* 4 1) into 4 12.450 * [backup-simplify]: Simplify (+ 4 0) into 4 12.451 * [backup-simplify]: Simplify (log 4) into (log 4) 12.452 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.452 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.453 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.453 * [taylor]: Taking taylor expansion of (pow (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) 1/3) in p 12.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))))) in p 12.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))))) in p 12.453 * [taylor]: Taking taylor expansion of 1/3 in p 12.453 * [backup-simplify]: Simplify 1/3 into 1/3 12.453 * [taylor]: Taking taylor expansion of (log (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.453 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.453 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.453 * [taylor]: Taking taylor expansion of 4 in p 12.453 * [backup-simplify]: Simplify 4 into 4 12.453 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.453 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.453 * [taylor]: Taking taylor expansion of p in p 12.453 * [backup-simplify]: Simplify 0 into 0 12.453 * [backup-simplify]: Simplify 1 into 1 12.454 * [backup-simplify]: Simplify (* 1 1) into 1 12.454 * [backup-simplify]: Simplify (/ 1 1) into 1 12.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.454 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.454 * [taylor]: Taking taylor expansion of x in p 12.454 * [backup-simplify]: Simplify x into x 12.454 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.454 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.455 * [backup-simplify]: Simplify (* 4 1) into 4 12.455 * [backup-simplify]: Simplify (+ 4 0) into 4 12.456 * [backup-simplify]: Simplify (log 4) into (log 4) 12.457 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.457 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.458 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 4) (* 2 (log p))))) in x 12.458 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 4) (* 2 (log p)))) in x 12.458 * [taylor]: Taking taylor expansion of 1/3 in x 12.458 * [backup-simplify]: Simplify 1/3 into 1/3 12.458 * [taylor]: Taking taylor expansion of (- (log 4) (* 2 (log p))) in x 12.458 * [taylor]: Taking taylor expansion of (log 4) in x 12.458 * [taylor]: Taking taylor expansion of 4 in x 12.458 * [backup-simplify]: Simplify 4 into 4 12.458 * [backup-simplify]: Simplify (log 4) into (log 4) 12.459 * [taylor]: Taking taylor expansion of (* 2 (log p)) in x 12.459 * [taylor]: Taking taylor expansion of 2 in x 12.459 * [backup-simplify]: Simplify 2 into 2 12.459 * [taylor]: Taking taylor expansion of (log p) in x 12.459 * [taylor]: Taking taylor expansion of p in x 12.459 * [backup-simplify]: Simplify p into p 12.459 * [backup-simplify]: Simplify (log p) into (log p) 12.459 * [backup-simplify]: Simplify (* 2 (log p)) into (* 2 (log p)) 12.459 * [backup-simplify]: Simplify (- (* 2 (log p))) into (- (* 2 (log p))) 12.460 * [backup-simplify]: Simplify (+ (log 4) (- (* 2 (log p)))) into (- (log 4) (* 2 (log p))) 12.460 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.461 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.461 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.464 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.464 * [backup-simplify]: Simplify (+ 0 0) into 0 12.466 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.467 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.469 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.469 * [taylor]: Taking taylor expansion of 0 in x 12.469 * [backup-simplify]: Simplify 0 into 0 12.469 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow p 1)))) 1) into 0 12.472 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log p))) into 0 12.473 * [backup-simplify]: Simplify (- 0) into 0 12.473 * [backup-simplify]: Simplify (+ 0 0) into 0 12.474 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.476 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.476 * [backup-simplify]: Simplify 0 into 0 12.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.479 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 12.479 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 12.482 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 4 1)))) 2) into (/ 1/4 (pow x 2)) 12.483 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.484 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/4 (pow x 2))) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into (* 1/12 (/ 1 (pow x 2))) 12.485 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (pow x 2))) 1) 1)))) into (* 1/12 (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2))) 12.485 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2))) in x 12.485 * [taylor]: Taking taylor expansion of 1/12 in x 12.485 * [backup-simplify]: Simplify 1/12 into 1/12 12.485 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) (pow x 2)) in x 12.485 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 4) (* 2 (log p))))) in x 12.485 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 4) (* 2 (log p)))) in x 12.485 * [taylor]: Taking taylor expansion of 1/3 in x 12.485 * [backup-simplify]: Simplify 1/3 into 1/3 12.485 * [taylor]: Taking taylor expansion of (- (log 4) (* 2 (log p))) in x 12.486 * [taylor]: Taking taylor expansion of (log 4) in x 12.486 * [taylor]: Taking taylor expansion of 4 in x 12.486 * [backup-simplify]: Simplify 4 into 4 12.486 * [backup-simplify]: Simplify (log 4) into (log 4) 12.486 * [taylor]: Taking taylor expansion of (* 2 (log p)) in x 12.486 * [taylor]: Taking taylor expansion of 2 in x 12.486 * [backup-simplify]: Simplify 2 into 2 12.486 * [taylor]: Taking taylor expansion of (log p) in x 12.486 * [taylor]: Taking taylor expansion of p in x 12.486 * [backup-simplify]: Simplify p into p 12.486 * [backup-simplify]: Simplify (log p) into (log p) 12.486 * [backup-simplify]: Simplify (* 2 (log p)) into (* 2 (log p)) 12.486 * [backup-simplify]: Simplify (- (* 2 (log p))) into (- (* 2 (log p))) 12.487 * [backup-simplify]: Simplify (+ (log 4) (- (* 2 (log p)))) into (- (log 4) (* 2 (log p))) 12.487 * [backup-simplify]: Simplify (* 1/3 (- (log 4) (* 2 (log p)))) into (* 1/3 (- (log 4) (* 2 (log p)))) 12.488 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log p))))) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.488 * [taylor]: Taking taylor expansion of x in x 12.488 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify 1 into 1 12.488 * [backup-simplify]: Simplify (* 1 1) into 1 12.489 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log 4) (* 2 (log p))))) 1) into (exp (* 1/3 (- (log 4) (* 2 (log p))))) 12.490 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4 1)))) 1) into 0 12.491 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow p 1)))) 1) into 0 12.492 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (log p))) into 0 12.492 * [backup-simplify]: Simplify (- 0) into 0 12.492 * [backup-simplify]: Simplify (+ 0 0) into 0 12.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log 4) (* 2 (log p))))) into 0 12.497 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 12.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow p 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow p 1)))) 2) into 0 12.501 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log p)))) into 0 12.501 * [backup-simplify]: Simplify (- 0) into 0 12.501 * [backup-simplify]: Simplify (+ 0 0) into 0 12.503 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into 0 12.504 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.507 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (/ 0 1)))) into 0 12.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.512 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log 4) (* 2 (log p)))))))) into 0 12.512 * [backup-simplify]: Simplify 0 into 0 12.512 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4 1)))) 2) into 0 12.517 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow p 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow p 1)))) 2) into 0 12.518 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log p)))) into 0 12.519 * [backup-simplify]: Simplify (- 0) into 0 12.519 * [backup-simplify]: Simplify (+ 0 0) into 0 12.521 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p)))))) into 0 12.522 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.523 * [backup-simplify]: Simplify 0 into 0 12.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.526 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.526 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 12.527 * [backup-simplify]: Simplify (+ 0 0) into 0 12.531 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 4 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow x 2))) 1)) (pow 4 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 4 1)))) 6) into 0 12.532 * [backup-simplify]: Simplify (+ (* (- 2) (log p)) (log 4)) into (- (log 4) (* 2 (log p))) 12.533 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/4 (pow x 2))) (+ (* 0 0) (* 0 (- (log 4) (* 2 (log p))))))) into 0 12.536 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 4) (* 2 (log p))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/12 (/ 1 (pow x 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.536 * [taylor]: Taking taylor expansion of 0 in x 12.536 * [backup-simplify]: Simplify 0 into 0 12.536 * [backup-simplify]: Simplify 0 into 0 12.536 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 4) (* 2 (log (/ 1 (- p))))))) into (exp (* 1/3 (- (log 4) (* 2 (log (/ -1 p)))))) 12.537 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 2 2 1 2) 12.537 * [backup-simplify]: Simplify (sqrt (+ (* (* p p) 4) (* x x))) into (sqrt (+ (pow x 2) (* 4 (pow p 2)))) 12.537 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in (p x) around 0 12.537 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in x 12.537 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in x 12.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.537 * [taylor]: Taking taylor expansion of x in x 12.537 * [backup-simplify]: Simplify 0 into 0 12.537 * [backup-simplify]: Simplify 1 into 1 12.537 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in x 12.537 * [taylor]: Taking taylor expansion of 4 in x 12.537 * [backup-simplify]: Simplify 4 into 4 12.537 * [taylor]: Taking taylor expansion of (pow p 2) in x 12.537 * [taylor]: Taking taylor expansion of p in x 12.537 * [backup-simplify]: Simplify p into p 12.537 * [backup-simplify]: Simplify (* p p) into (pow p 2) 12.537 * [backup-simplify]: Simplify (* 4 (pow p 2)) into (* 4 (pow p 2)) 12.537 * [backup-simplify]: Simplify (+ 0 (* 4 (pow p 2))) into (* 4 (pow p 2)) 12.537 * [backup-simplify]: Simplify (sqrt (* 4 (pow p 2))) into (* 2 p) 12.537 * [backup-simplify]: Simplify (+ (* p 0) (* 0 p)) into 0 12.538 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow p 2))) into 0 12.538 * [backup-simplify]: Simplify (+ 0 0) into 0 12.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 4 (pow p 2))))) into 0 12.538 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 12.538 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 12.538 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.538 * [taylor]: Taking taylor expansion of x in p 12.538 * [backup-simplify]: Simplify x into x 12.538 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 12.538 * [taylor]: Taking taylor expansion of 4 in p 12.538 * [backup-simplify]: Simplify 4 into 4 12.538 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.538 * [taylor]: Taking taylor expansion of p in p 12.538 * [backup-simplify]: Simplify 0 into 0 12.538 * [backup-simplify]: Simplify 1 into 1 12.538 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.538 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 12.538 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 12.538 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.539 * [backup-simplify]: Simplify (+ 0 0) into 0 12.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 12.539 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 4 (pow p 2)))) in p 12.539 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4 (pow p 2))) in p 12.539 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.539 * [taylor]: Taking taylor expansion of x in p 12.539 * [backup-simplify]: Simplify x into x 12.539 * [taylor]: Taking taylor expansion of (* 4 (pow p 2)) in p 12.539 * [taylor]: Taking taylor expansion of 4 in p 12.539 * [backup-simplify]: Simplify 4 into 4 12.539 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.539 * [taylor]: Taking taylor expansion of p in p 12.539 * [backup-simplify]: Simplify 0 into 0 12.539 * [backup-simplify]: Simplify 1 into 1 12.539 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.539 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 12.539 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 12.539 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.540 * [backup-simplify]: Simplify (+ 0 0) into 0 12.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 12.540 * [taylor]: Taking taylor expansion of x in x 12.540 * [backup-simplify]: Simplify 0 into 0 12.540 * [backup-simplify]: Simplify 1 into 1 12.540 * [backup-simplify]: Simplify 0 into 0 12.540 * [taylor]: Taking taylor expansion of 0 in x 12.540 * [backup-simplify]: Simplify 0 into 0 12.540 * [backup-simplify]: Simplify 0 into 0 12.540 * [backup-simplify]: Simplify 1 into 1 12.540 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 12.541 * [backup-simplify]: Simplify (* 1 1) into 1 12.541 * [backup-simplify]: Simplify (* 4 1) into 4 12.541 * [backup-simplify]: Simplify (+ 0 4) into 4 12.542 * [backup-simplify]: Simplify (/ (- 4 (pow 0 2) (+)) (* 2 x)) into (/ 2 x) 12.542 * [taylor]: Taking taylor expansion of (/ 2 x) in x 12.542 * [taylor]: Taking taylor expansion of 2 in x 12.542 * [backup-simplify]: Simplify 2 into 2 12.542 * [taylor]: Taking taylor expansion of x in x 12.542 * [backup-simplify]: Simplify 0 into 0 12.542 * [backup-simplify]: Simplify 1 into 1 12.542 * [backup-simplify]: Simplify (/ 2 1) into 2 12.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 12.543 * [backup-simplify]: Simplify 0 into 0 12.543 * [backup-simplify]: Simplify 0 into 0 12.543 * [backup-simplify]: Simplify 0 into 0 12.543 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 12.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.544 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.544 * [backup-simplify]: Simplify (+ 0 0) into 0 12.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 2 x))))) (* 2 x)) into 0 12.545 * [taylor]: Taking taylor expansion of 0 in x 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 12.546 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ 1 p) (/ 1 p)) 4) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 12.546 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0 12.546 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 12.546 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 12.546 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 12.546 * [taylor]: Taking taylor expansion of 4 in x 12.546 * [backup-simplify]: Simplify 4 into 4 12.546 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 12.546 * [taylor]: Taking taylor expansion of (pow p 2) in x 12.546 * [taylor]: Taking taylor expansion of p in x 12.546 * [backup-simplify]: Simplify p into p 12.546 * [backup-simplify]: Simplify (* p p) into (pow p 2) 12.546 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 12.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.546 * [taylor]: Taking taylor expansion of x in x 12.546 * [backup-simplify]: Simplify 0 into 0 12.546 * [backup-simplify]: Simplify 1 into 1 12.546 * [backup-simplify]: Simplify (* 1 1) into 1 12.547 * [backup-simplify]: Simplify (/ 1 1) into 1 12.547 * [backup-simplify]: Simplify (+ 0 1) into 1 12.547 * [backup-simplify]: Simplify (sqrt 1) into 1 12.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.548 * [backup-simplify]: Simplify (+ 0 0) into 0 12.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.549 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.549 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.549 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.549 * [taylor]: Taking taylor expansion of 4 in p 12.549 * [backup-simplify]: Simplify 4 into 4 12.549 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.549 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.549 * [taylor]: Taking taylor expansion of p in p 12.549 * [backup-simplify]: Simplify 0 into 0 12.549 * [backup-simplify]: Simplify 1 into 1 12.549 * [backup-simplify]: Simplify (* 1 1) into 1 12.550 * [backup-simplify]: Simplify (/ 1 1) into 1 12.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.550 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.550 * [taylor]: Taking taylor expansion of x in p 12.550 * [backup-simplify]: Simplify x into x 12.550 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.550 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.550 * [backup-simplify]: Simplify (* 4 1) into 4 12.550 * [backup-simplify]: Simplify (+ 4 0) into 4 12.551 * [backup-simplify]: Simplify (sqrt 4) into 2 12.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.552 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.552 * [backup-simplify]: Simplify (+ 0 0) into 0 12.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 12.553 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.553 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.553 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.553 * [taylor]: Taking taylor expansion of 4 in p 12.553 * [backup-simplify]: Simplify 4 into 4 12.553 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.553 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.553 * [taylor]: Taking taylor expansion of p in p 12.553 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify 1 into 1 12.553 * [backup-simplify]: Simplify (* 1 1) into 1 12.553 * [backup-simplify]: Simplify (/ 1 1) into 1 12.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.553 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.554 * [taylor]: Taking taylor expansion of x in p 12.554 * [backup-simplify]: Simplify x into x 12.554 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.554 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.554 * [backup-simplify]: Simplify (* 4 1) into 4 12.554 * [backup-simplify]: Simplify (+ 4 0) into 4 12.555 * [backup-simplify]: Simplify (sqrt 4) into 2 12.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.556 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.556 * [backup-simplify]: Simplify (+ 0 0) into 0 12.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 12.557 * [taylor]: Taking taylor expansion of 2 in x 12.557 * [backup-simplify]: Simplify 2 into 2 12.557 * [taylor]: Taking taylor expansion of 0 in x 12.557 * [backup-simplify]: Simplify 0 into 0 12.557 * [backup-simplify]: Simplify 2 into 2 12.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.558 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 12.559 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 12.560 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2)) 12.560 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x 12.560 * [taylor]: Taking taylor expansion of 1/4 in x 12.560 * [backup-simplify]: Simplify 1/4 into 1/4 12.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.560 * [taylor]: Taking taylor expansion of x in x 12.560 * [backup-simplify]: Simplify 0 into 0 12.560 * [backup-simplify]: Simplify 1 into 1 12.560 * [backup-simplify]: Simplify (* 1 1) into 1 12.560 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 12.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 12.561 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.563 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.564 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 12.564 * [backup-simplify]: Simplify (+ 0 0) into 0 12.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0 12.565 * [taylor]: Taking taylor expansion of 0 in x 12.565 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.567 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 p)))) into (* 2 p) 12.567 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ 1 (- p)) (/ 1 (- p))) 4) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) 12.568 * [approximate]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in (p x) around 0 12.568 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in x 12.568 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in x 12.568 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in x 12.568 * [taylor]: Taking taylor expansion of 4 in x 12.568 * [backup-simplify]: Simplify 4 into 4 12.568 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in x 12.568 * [taylor]: Taking taylor expansion of (pow p 2) in x 12.568 * [taylor]: Taking taylor expansion of p in x 12.568 * [backup-simplify]: Simplify p into p 12.568 * [backup-simplify]: Simplify (* p p) into (pow p 2) 12.568 * [backup-simplify]: Simplify (/ 1 (pow p 2)) into (/ 1 (pow p 2)) 12.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 12.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.568 * [taylor]: Taking taylor expansion of x in x 12.568 * [backup-simplify]: Simplify 0 into 0 12.568 * [backup-simplify]: Simplify 1 into 1 12.569 * [backup-simplify]: Simplify (* 1 1) into 1 12.569 * [backup-simplify]: Simplify (/ 1 1) into 1 12.570 * [backup-simplify]: Simplify (+ 0 1) into 1 12.570 * [backup-simplify]: Simplify (sqrt 1) into 1 12.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.578 * [backup-simplify]: Simplify (+ 0 0) into 0 12.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.579 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.579 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.579 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.579 * [taylor]: Taking taylor expansion of 4 in p 12.580 * [backup-simplify]: Simplify 4 into 4 12.580 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.580 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.580 * [taylor]: Taking taylor expansion of p in p 12.580 * [backup-simplify]: Simplify 0 into 0 12.580 * [backup-simplify]: Simplify 1 into 1 12.580 * [backup-simplify]: Simplify (* 1 1) into 1 12.581 * [backup-simplify]: Simplify (/ 1 1) into 1 12.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.581 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.581 * [taylor]: Taking taylor expansion of x in p 12.581 * [backup-simplify]: Simplify x into x 12.581 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.581 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.581 * [backup-simplify]: Simplify (* 4 1) into 4 12.582 * [backup-simplify]: Simplify (+ 4 0) into 4 12.582 * [backup-simplify]: Simplify (sqrt 4) into 2 12.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.585 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.585 * [backup-simplify]: Simplify (+ 0 0) into 0 12.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 12.586 * [taylor]: Taking taylor expansion of (sqrt (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2)))) in p 12.586 * [taylor]: Taking taylor expansion of (+ (* 4 (/ 1 (pow p 2))) (/ 1 (pow x 2))) in p 12.586 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow p 2))) in p 12.586 * [taylor]: Taking taylor expansion of 4 in p 12.586 * [backup-simplify]: Simplify 4 into 4 12.586 * [taylor]: Taking taylor expansion of (/ 1 (pow p 2)) in p 12.586 * [taylor]: Taking taylor expansion of (pow p 2) in p 12.586 * [taylor]: Taking taylor expansion of p in p 12.586 * [backup-simplify]: Simplify 0 into 0 12.586 * [backup-simplify]: Simplify 1 into 1 12.586 * [backup-simplify]: Simplify (* 1 1) into 1 12.587 * [backup-simplify]: Simplify (/ 1 1) into 1 12.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in p 12.587 * [taylor]: Taking taylor expansion of (pow x 2) in p 12.587 * [taylor]: Taking taylor expansion of x in p 12.587 * [backup-simplify]: Simplify x into x 12.587 * [backup-simplify]: Simplify (* x x) into (pow x 2) 12.587 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 12.588 * [backup-simplify]: Simplify (* 4 1) into 4 12.588 * [backup-simplify]: Simplify (+ 4 0) into 4 12.589 * [backup-simplify]: Simplify (sqrt 4) into 2 12.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.591 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 12.591 * [backup-simplify]: Simplify (+ 0 0) into 0 12.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 4))) into 0 12.592 * [taylor]: Taking taylor expansion of 2 in x 12.592 * [backup-simplify]: Simplify 2 into 2 12.592 * [taylor]: Taking taylor expansion of 0 in x 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 2 into 2 12.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.595 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 12.596 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 12.597 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 2)) into (/ 1/4 (pow x 2)) 12.597 * [taylor]: Taking taylor expansion of (/ 1/4 (pow x 2)) in x 12.597 * [taylor]: Taking taylor expansion of 1/4 in x 12.597 * [backup-simplify]: Simplify 1/4 into 1/4 12.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 12.597 * [taylor]: Taking taylor expansion of x in x 12.597 * [backup-simplify]: Simplify 0 into 0 12.597 * [backup-simplify]: Simplify 1 into 1 12.598 * [backup-simplify]: Simplify (* 1 1) into 1 12.598 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4 12.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0 12.600 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify 0 into 0 12.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.603 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.603 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 12.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 12.604 * [backup-simplify]: Simplify (+ 0 0) into 0 12.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/4 (pow x 2)))))) (* 2 2)) into 0 12.605 * [taylor]: Taking taylor expansion of 0 in x 12.605 * [backup-simplify]: Simplify 0 into 0 12.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.607 * [backup-simplify]: Simplify 0 into 0 12.607 * [backup-simplify]: Simplify 0 into 0 12.607 * [backup-simplify]: Simplify 0 into 0 12.607 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- p))))) into (* -2 p) 12.607 * * * [progress]: simplifying candidates 12.607 * * * * [progress]: [ 1 / 70 ] simplifiying candidate # 12.608 * * * * [progress]: [ 2 / 70 ] simplifiying candidate # 12.608 * * * * [progress]: [ 3 / 70 ] simplifiying candidate # 12.608 * * * * [progress]: [ 4 / 70 ] simplifiying candidate # 12.608 * * * * [progress]: [ 5 / 70 ] simplifiying candidate # 12.608 * * * * [progress]: [ 6 / 70 ] simplifiying candidate # 12.608 * * * * [progress]: [ 7 / 70 ] simplifiying candidate # 12.608 * * * * [progress]: [ 8 / 70 ] simplifiying candidate # 12.609 * * * * [progress]: [ 9 / 70 ] simplifiying candidate # 12.609 * * * * [progress]: [ 10 / 70 ] simplifiying candidate # 12.609 * * * * [progress]: [ 11 / 70 ] simplifiying candidate # 12.609 * * * * [progress]: [ 12 / 70 ] simplifiying candidate # 12.609 * * * * [progress]: [ 13 / 70 ] simplifiying candidate # 12.609 * * * * [progress]: [ 14 / 70 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* (* p p) 4) (* x x)))))))) x))) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x) (- 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x)))))))> 12.609 * * * * [progress]: [ 15 / 70 ] simplifiying candidate # 12.609 * * * * [progress]: [ 16 / 70 ] simplifiying candidate # 12.609 * * * * [progress]: [ 17 / 70 ] simplifiying candidate # 12.610 * * * * [progress]: [ 18 / 70 ] simplifiying candidate # 12.610 * * * * [progress]: [ 19 / 70 ] simplifiying candidate # 12.610 * * * * [progress]: [ 20 / 70 ] simplifiying candidate # 12.610 * * * * [progress]: [ 21 / 70 ] simplifiying candidate # 12.610 * * * * [progress]: [ 22 / 70 ] simplifiying candidate # 12.610 * * * * [progress]: [ 23 / 70 ] simplifiying candidate # 12.611 * * * * [progress]: [ 24 / 70 ] simplifiying candidate # 12.611 * * * * [progress]: [ 25 / 70 ] simplifiying candidate # 12.611 * * * * [progress]: [ 26 / 70 ] simplifiying candidate # 12.611 * * * * [progress]: [ 27 / 70 ] simplifiying candidate # 12.611 * * * * [progress]: [ 28 / 70 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* (* p p) 4) (* x x))))))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))))) x))) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x) (- 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x)))))))> 12.611 * * * * [progress]: [ 29 / 70 ] simplifiying candidate # 12.611 * * * * [progress]: [ 30 / 70 ] simplifiying candidate # 12.611 * * * * [progress]: [ 31 / 70 ] simplifiying candidate # 12.611 * * * * [progress]: [ 32 / 70 ] simplifiying candidate # 12.612 * * * * [progress]: [ 33 / 70 ] simplifiying candidate # 12.612 * * * * [progress]: [ 34 / 70 ] simplifiying candidate # 12.612 * * * * [progress]: [ 35 / 70 ] simplifiying candidate # 12.612 * * * * [progress]: [ 36 / 70 ] simplifiying candidate # 12.612 * * * * [progress]: [ 37 / 70 ] simplifiying candidate # 12.612 * * * * [progress]: [ 38 / 70 ] simplifiying candidate # 12.612 * * * * [progress]: [ 39 / 70 ] simplifiying candidate # 12.612 * * * * [progress]: [ 40 / 70 ] simplifiying candidate # 12.612 * * * * [progress]: [ 41 / 70 ] simplifiying candidate # 12.612 * * * * [progress]: [ 42 / 70 ] simplifiying candidate #real (real->posit16 (cbrt (+ (* (* p p) 4) (* x x))))) (cbrt (+ (* (* p p) 4) (* x x))))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))))) x))) (* 0.5 (* 0.5 0.5))) (- (* 0.5 0.5) (* (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x) (- 0.5 (* (/ 0.5 (sqrt (+ (* (* p p) 4) (* x x)))) x)))))))> 12.612 * * * * [progress]: [ 43 / 70 ] simplifiying candidate # 12.612 * * * * [progress]: [ 44 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 45 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 46 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 47 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 48 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 49 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 50 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 51 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 52 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 53 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 54 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 55 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 56 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 57 / 70 ] simplifiying candidate # 12.613 * * * * [progress]: [ 58 / 70 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))))) x)))))))> 12.613 * * * * [progress]: [ 59 / 70 ] simplifiying candidate # 12.614 * * * * [progress]: [ 60 / 70 ] simplifiying candidate # 12.614 * * * * [progress]: [ 61 / 70 ] simplifiying candidate # 12.614 * * * * [progress]: [ 62 / 70 ] simplifiying candidate # 12.614 * * * * [progress]: [ 63 / 70 ] simplifiying candidate # 12.614 * * * * [progress]: [ 64 / 70 ] simplifiying candidate # 12.614 * * * * [progress]: [ 65 / 70 ] simplifiying candidate # 12.614 * * * * [progress]: [ 66 / 70 ] simplifiying candidate # 12.614 * * * * [progress]: [ 67 / 70 ] simplifiying candidate # 12.614 * * * * [progress]: [ 68 / 70 ] simplifiying candidate # 12.614 * * * * [progress]: [ 69 / 70 ] simplifiying candidate # 12.614 * * * * [progress]: [ 70 / 70 ] simplifiying candidate # 12.615 * [simplify]: Simplifying: (log (cbrt (+ (* (* p p) 4) (* x x)))) (exp (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (* (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (* (* p p) 4) (* x x))))) (cbrt (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (cbrt 1) (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (pow (* (* p p) 4) 3) (pow (* x x) 3))) (cbrt (+ (* (* (* p p) 4) (* (* p p) 4)) (- (* (* x x) (* x x)) (* (* (* p p) 4) (* x x))))) (cbrt (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* x x)))) (cbrt (- (* (* p p) 4) (* x x))) (* (cbrt (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (cbrt (+ (* (* p p) 4) (* x x))))) (cbrt (cbrt (+ (* (* p p) 4) (* x x)))) (* (* (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))) (real->posit16 (cbrt (+ (* (* p p) 4) (* x x)))) (log (cbrt (+ (* (* p p) 4) (* x x)))) (exp (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (* (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (* (* p p) 4) (* x x))))) (cbrt (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (cbrt 1) (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (pow (* (* p p) 4) 3) (pow (* x x) 3))) (cbrt (+ (* (* (* p p) 4) (* (* p p) 4)) (- (* (* x x) (* x x)) (* (* (* p p) 4) (* x x))))) (cbrt (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* x x)))) (cbrt (- (* (* p p) 4) (* x x))) (* (cbrt (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (cbrt (+ (* (* p p) 4) (* x x))))) (cbrt (cbrt (+ (* (* p p) 4) (* x x)))) (* (* (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))) (real->posit16 (cbrt (+ (* (* p p) 4) (* x x)))) (log (cbrt (+ (* (* p p) 4) (* x x)))) (exp (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (* (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (* (* p p) 4) (* x x))))) (cbrt (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (cbrt 1) (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (pow (* (* p p) 4) 3) (pow (* x x) 3))) (cbrt (+ (* (* (* p p) 4) (* (* p p) 4)) (- (* (* x x) (* x x)) (* (* (* p p) 4) (* x x))))) (cbrt (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* x x)))) (cbrt (- (* (* p p) 4) (* x x))) (* (cbrt (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (cbrt (+ (* (* p p) 4) (* x x))))) (cbrt (cbrt (+ (* (* p p) 4) (* x x)))) (* (* (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (* (* p p) 4) (* x x)))) (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))) (real->posit16 (cbrt (+ (* (* p p) 4) (* x x)))) (log (sqrt (+ (* (* p p) 4) (* x x)))) (exp (sqrt (+ (* (* p p) 4) (* x x)))) (* (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (cbrt (sqrt (+ (* (* p p) 4) (* x x))))) (cbrt (sqrt (+ (* (* p p) 4) (* x x)))) (* (* (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (* (cbrt (+ (* (* p p) 4) (* x x))) (cbrt (+ (* (* p p) 4) (* x x))))) (sqrt (cbrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt 1) (sqrt (+ (* (* p p) 4) (* x x))) (sqrt (+ (pow (* (* p p) 4) 3) (pow (* x x) 3))) (sqrt (+ (* (* (* p p) 4) (* (* p p) 4)) (- (* (* x x) (* x x)) (* (* (* p p) 4) (* x x))))) (sqrt (- (* (* (* p p) 4) (* (* p p) 4)) (* (* x x) (* x x)))) (sqrt (- (* (* p p) 4) (* x x))) (/ 1 2) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (sqrt (sqrt (+ (* (* p p) 4) (* x x)))) (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))) (+ (pow x 2/3) (* 4/3 (* (pow p 2) (pow (/ 1 (pow x 4)) 1/3)))) (exp (* 1/3 (- (log 4) (* 2 (log (/ 1 p)))))) (exp (* 1/3 (- (log 4) (* 2 (log (/ -1 p)))))) (+ (pow x 2/3) (* 4/3 (* (pow p 2) (pow (/ 1 (pow x 4)) 1/3)))) (exp (* 1/3 (- (log 4) (* 2 (log (/ 1 p)))))) (exp (* 1/3 (- (log 4) (* 2 (log (/ -1 p)))))) (+ (pow x 2/3) (* 4/3 (* (pow p 2) (pow (/ 1 (pow x 4)) 1/3)))) (exp (* 1/3 (- (log 4) (* 2 (log (/ 1 p)))))) (exp (* 1/3 (- (log 4) (* 2 (log (/ -1 p)))))) x (* 2 p) (* -2 p) 12.616 * * [simplify]: iteration 1: (79 enodes) 12.636 * * [simplify]: iteration 2: (172 enodes) 12.699 * * [simplify]: iteration 3: (423 enodes) 13.004 * * [simplify]: iteration 4: (1320 enodes) 15.155 * * [simplify]: Extracting #0: cost 34 inf + 0 15.155 * * [simplify]: Extracting #1: cost 80 inf + 3 15.156 * * [simplify]: Extracting #2: cost 210 inf + 162 15.158 * * [simplify]: Extracting #3: cost 578 inf + 3906 15.178 * * [simplify]: Extracting #4: cost 500 inf + 49006 15.211 * * [simplify]: Extracting #5: cost 189 inf + 125079 15.254 * * [simplify]: Extracting #6: cost 65 inf + 171488 15.296 * * [simplify]: Extracting #7: cost 21 inf + 185169 15.345 * * [simplify]: Extracting #8: cost 1 inf + 192283 15.384 * * [simplify]: Extracting #9: cost 0 inf + 192909 15.422 * [simplify]: Simplified to: (log (cbrt (+ (* p (* p 4)) (* x x)))) (exp (cbrt (+ (* p (* p 4)) (* x x)))) (cbrt (* (cbrt (+ (* p (* p 4)) (* x x))) (cbrt (+ (* p (* p 4)) (* x x))))) (cbrt (cbrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) 1 (cbrt (+ (* p (* p 4)) (* x x))) (cbrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* p (* p 4)) (* (* p (* p 4)) (* p (* p 4)))))) (cbrt (+ (* (- (* x x) (* p (* p 4))) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (cbrt (- (* (* p (* p 4)) (* p (* p 4))) (* (* x x) (* x x)))) (cbrt (- (* p (* p 4)) (* x x))) (* (cbrt (cbrt (+ (* p (* p 4)) (* x x)))) (cbrt (cbrt (+ (* p (* p 4)) (* x x))))) (cbrt (cbrt (+ (* p (* p 4)) (* x x)))) (+ (* p (* p 4)) (* x x)) (sqrt (cbrt (+ (* p (* p 4)) (* x x)))) (sqrt (cbrt (+ (* p (* p 4)) (* x x)))) (real->posit16 (cbrt (+ (* p (* p 4)) (* x x)))) (log (cbrt (+ (* p (* p 4)) (* x x)))) (exp (cbrt (+ (* p (* p 4)) (* x x)))) (cbrt (* (cbrt (+ (* p (* p 4)) (* x x))) (cbrt (+ (* p (* p 4)) (* x x))))) (cbrt (cbrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) 1 (cbrt (+ (* p (* p 4)) (* x x))) (cbrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* p (* p 4)) (* (* p (* p 4)) (* p (* p 4)))))) (cbrt (+ (* (- (* x x) (* p (* p 4))) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (cbrt (- (* (* p (* p 4)) (* p (* p 4))) (* (* x x) (* x x)))) (cbrt (- (* p (* p 4)) (* x x))) (* (cbrt (cbrt (+ (* p (* p 4)) (* x x)))) (cbrt (cbrt (+ (* p (* p 4)) (* x x))))) (cbrt (cbrt (+ (* p (* p 4)) (* x x)))) (+ (* p (* p 4)) (* x x)) (sqrt (cbrt (+ (* p (* p 4)) (* x x)))) (sqrt (cbrt (+ (* p (* p 4)) (* x x)))) (real->posit16 (cbrt (+ (* p (* p 4)) (* x x)))) (log (cbrt (+ (* p (* p 4)) (* x x)))) (exp (cbrt (+ (* p (* p 4)) (* x x)))) (cbrt (* (cbrt (+ (* p (* p 4)) (* x x))) (cbrt (+ (* p (* p 4)) (* x x))))) (cbrt (cbrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) 1 (cbrt (+ (* p (* p 4)) (* x x))) (cbrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* p (* p 4)) (* (* p (* p 4)) (* p (* p 4)))))) (cbrt (+ (* (- (* x x) (* p (* p 4))) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (cbrt (- (* (* p (* p 4)) (* p (* p 4))) (* (* x x) (* x x)))) (cbrt (- (* p (* p 4)) (* x x))) (* (cbrt (cbrt (+ (* p (* p 4)) (* x x)))) (cbrt (cbrt (+ (* p (* p 4)) (* x x))))) (cbrt (cbrt (+ (* p (* p 4)) (* x x)))) (+ (* p (* p 4)) (* x x)) (sqrt (cbrt (+ (* p (* p 4)) (* x x)))) (sqrt (cbrt (+ (* p (* p 4)) (* x x)))) (real->posit16 (cbrt (+ (* p (* p 4)) (* x x)))) (log (sqrt (+ (* p (* p 4)) (* x x)))) (exp (sqrt (+ (* p (* p 4)) (* x x)))) (* (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) (cbrt (sqrt (+ (* p (* p 4)) (* x x))))) (cbrt (sqrt (+ (* p (* p 4)) (* x x)))) (* (+ (* p (* p 4)) (* x x)) (sqrt (+ (* p (* p 4)) (* x x)))) (fabs (cbrt (+ (* p (* p 4)) (* x x)))) (sqrt (cbrt (+ (* p (* p 4)) (* x x)))) (sqrt (sqrt (+ (* p (* p 4)) (* x x)))) (sqrt (sqrt (+ (* p (* p 4)) (* x x)))) 1 (sqrt (+ (* p (* p 4)) (* x x))) (sqrt (+ (* (* (* x x) (* x x)) (* x x)) (* (* p (* p 4)) (* (* p (* p 4)) (* p (* p 4)))))) (sqrt (+ (* (- (* x x) (* p (* p 4))) (* x x)) (* (* p (* p 4)) (* p (* p 4))))) (sqrt (- (* (* p (* p 4)) (* p (* p 4))) (* (* x x) (* x x)))) (sqrt (- (* p (* p 4)) (* x x))) 1/2 (sqrt (sqrt (+ (* p (* p 4)) (* x x)))) (sqrt (sqrt (+ (* p (* p 4)) (* x x)))) (real->posit16 (sqrt (+ (* p (* p 4)) (* x x)))) (+ (* (cbrt (/ 1 (* (* x x) (* x x)))) (* 4/3 (* p p))) (* (cbrt x) (cbrt x))) (exp (* (- (log 4) (* (log p) -2)) 1/3)) (exp (* 1/3 (+ (log 4) (* -2 (log (/ -1 p)))))) (+ (* (cbrt (/ 1 (* (* x x) (* x x)))) (* 4/3 (* p p))) (* (cbrt x) (cbrt x))) (exp (* (- (log 4) (* (log p) -2)) 1/3)) (exp (* 1/3 (+ (log 4) (* -2 (log (/ -1 p)))))) (+ (* (cbrt (/ 1 (* (* x x) (* x x)))) (* 4/3 (* p p))) (* (cbrt x) (cbrt x))) (exp (* (- (log 4) (* (log p) -2)) 1/3)) (exp (* 1/3 (+ (log 4) (* -2 (log (/ -1 p)))))) x (* 2 p) (* -2 p) 15.445 * * * [progress]: adding candidates to table 16.578 * [progress]: [Phase 3 of 3] Extracting. 16.578 * * [regime]: Finding splitpoints for: (# # # # #real (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))))) x)))))))> # # # # # #) 16.592 * * * [regime-changes]: Trying 2 branch expressions: (x p) 16.592 * * * * [regimes]: Trying to branch on x from (# # # # #real (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))))) x)))))))> # # # # # #) 16.683 * * * * [regimes]: Trying to branch on p from (# # # # #real (real->posit16 (sqrt (+ (* (* p p) 4) (* x x)))))) x)))))))> # # # # # #) 16.780 * * * [regime]: Found split indices: #