26.042 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.032 * * [simplify]: Extracting # 0 : cost 0 0.032 * * [simplify]: Extracting # 1 : cost 0 0.032 * * [simplify]: Extracting # 2 : cost 0 0.032 * * [simplify]: Extracting # 3 : cost 0 0.032 * * [simplify]: Extracting # 4 : cost 0 0.032 * * [simplify]: Extracting # 5 : cost 0 0.032 * * [simplify]: Extracting # 6 : cost 0 0.032 * * [simplify]: iteration 0 : 7 enodes (cost 15 ) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: iteration 1 : 14 enodes (cost 14 ) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: Extracting # 1 : cost 0 0.037 * * [simplify]: Extracting # 2 : cost 0 0.037 * * [simplify]: Extracting # 3 : cost 0 0.037 * * [simplify]: Extracting # 4 : cost 0 0.037 * * [simplify]: iteration 2 : 29 enodes (cost 11 ) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.044 * * [simplify]: Extracting # 1 : cost 0 0.044 * * [simplify]: Extracting # 2 : cost 0 0.044 * * [simplify]: Extracting # 3 : cost 0 0.044 * * [simplify]: Extracting # 4 : cost 0 0.044 * * [simplify]: iteration 3 : 51 enodes (cost 8 ) 0.064 * * [simplify]: Extracting # 0 : cost 0 0.064 * * [simplify]: Extracting # 1 : cost 0 0.064 * * [simplify]: Extracting # 2 : cost 0 0.064 * * [simplify]: iteration 4 : 71 enodes (cost 8 ) 0.084 * * [simplify]: Extracting # 0 : cost 0 0.084 * * [simplify]: iteration 5 : 79 enodes (cost 8 ) 0.108 * * [simplify]: Extracting # 0 : cost 0 0.108 * * [simplify]: iteration done: 79 enodes (cost 8 ) 0.108 * [simplify]: Simplified to: (fma x x (* 3 (* y y))) 0.113 * * [progress]: iteration 1 / 4 0.113 * * * [progress]: picking best candidate 0.118 * * * * [pick]: Picked # 0.118 * * * [progress]: localizing error 0.134 * * * [progress]: generating rewritten candidates 0.134 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.322 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.395 * * * [progress]: generating series expansions 0.395 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.395 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 0.395 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [backup-simplify]: Simplify x into x 0.396 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of 3 in y 0.396 * [backup-simplify]: Simplify 3 into 3 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.397 * [taylor]: Taking taylor expansion of 3 in x 0.397 * [backup-simplify]: Simplify 3 into 3 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [backup-simplify]: Simplify y into y 0.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.397 * [taylor]: Taking taylor expansion of 3 in x 0.397 * [backup-simplify]: Simplify 3 into 3 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [backup-simplify]: Simplify y into y 0.397 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.397 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.398 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 0.398 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.398 * [taylor]: Taking taylor expansion of 3 in y 0.398 * [backup-simplify]: Simplify 3 into 3 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.399 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (* 1 1) into 1 0.400 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.401 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.402 * [backup-simplify]: Simplify (+ 1 0) into 1 0.402 * [taylor]: Taking taylor expansion of 1 in y 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (* 3 1) into 3 0.403 * [backup-simplify]: Simplify 3 into 3 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.410 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.414 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.414 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [backup-simplify]: Simplify x into x 0.414 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.414 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.414 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.415 * [taylor]: Taking taylor expansion of 3 in y 0.415 * [backup-simplify]: Simplify 3 into 3 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.417 * [taylor]: Taking taylor expansion of 3 in x 0.417 * [backup-simplify]: Simplify 3 into 3 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [backup-simplify]: Simplify y into y 0.417 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.417 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (* 1 1) into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.418 * [taylor]: Taking taylor expansion of 3 in x 0.418 * [backup-simplify]: Simplify 3 into 3 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [backup-simplify]: Simplify y into y 0.418 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.419 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.419 * [backup-simplify]: Simplify (+ 1 0) into 1 0.419 * [taylor]: Taking taylor expansion of 1 in y 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.423 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.424 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.424 * [taylor]: Taking taylor expansion of 3 in y 0.424 * [backup-simplify]: Simplify 3 into 3 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 1 1) into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [backup-simplify]: Simplify (* 3 1) into 3 0.425 * [backup-simplify]: Simplify 3 into 3 0.425 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.441 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.441 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [backup-simplify]: Simplify x into x 0.441 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.441 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.441 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.441 * [taylor]: Taking taylor expansion of 3 in y 0.441 * [backup-simplify]: Simplify 3 into 3 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of 3 in x 0.443 * [backup-simplify]: Simplify 3 into 3 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [backup-simplify]: Simplify y into y 0.443 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.444 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.445 * [taylor]: Taking taylor expansion of 3 in x 0.445 * [backup-simplify]: Simplify 3 into 3 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [backup-simplify]: Simplify y into y 0.445 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.445 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.446 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [taylor]: Taking taylor expansion of 1 in y 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.450 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.450 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.450 * [taylor]: Taking taylor expansion of 3 in y 0.450 * [backup-simplify]: Simplify 3 into 3 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify (* 3 1) into 3 0.452 * [backup-simplify]: Simplify 3 into 3 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.456 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.467 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.467 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (pow x 2) (* 2 (pow y 2))) 0.467 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.467 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [backup-simplify]: Simplify x into x 0.467 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.467 * [taylor]: Taking taylor expansion of 2 in y 0.467 * [backup-simplify]: Simplify 2 into 2 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.468 * [taylor]: Taking taylor expansion of 2 in x 0.468 * [backup-simplify]: Simplify 2 into 2 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [backup-simplify]: Simplify y into y 0.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.468 * [taylor]: Taking taylor expansion of 2 in x 0.468 * [backup-simplify]: Simplify 2 into 2 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [backup-simplify]: Simplify y into y 0.468 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.469 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 0.469 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 0.469 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.469 * [taylor]: Taking taylor expansion of 2 in y 0.469 * [backup-simplify]: Simplify 2 into 2 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.470 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (* 1 1) into 1 0.472 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.473 * [taylor]: Taking taylor expansion of 1 in y 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (* 2 1) into 2 0.475 * [backup-simplify]: Simplify 2 into 2 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.476 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.482 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 0.486 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 0.486 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [backup-simplify]: Simplify x into x 0.486 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.486 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.486 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.486 * [taylor]: Taking taylor expansion of 2 in y 0.486 * [backup-simplify]: Simplify 2 into 2 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (/ 1 1) into 1 0.489 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.489 * [taylor]: Taking taylor expansion of 2 in x 0.489 * [backup-simplify]: Simplify 2 into 2 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [backup-simplify]: Simplify y into y 0.489 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.489 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (* 1 1) into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.490 * [taylor]: Taking taylor expansion of 2 in x 0.490 * [backup-simplify]: Simplify 2 into 2 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [backup-simplify]: Simplify y into y 0.491 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.491 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.491 * [backup-simplify]: Simplify (+ 1 0) into 1 0.491 * [taylor]: Taking taylor expansion of 1 in y 0.491 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.496 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 0.496 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.496 * [taylor]: Taking taylor expansion of 2 in y 0.496 * [backup-simplify]: Simplify 2 into 2 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [backup-simplify]: Simplify (* 2 1) into 2 0.497 * [backup-simplify]: Simplify 2 into 2 0.498 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.508 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 0.513 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 0.513 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [backup-simplify]: Simplify x into x 0.513 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.513 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.513 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.514 * [taylor]: Taking taylor expansion of 2 in y 0.514 * [backup-simplify]: Simplify 2 into 2 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 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 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.516 * [taylor]: Taking taylor expansion of 2 in x 0.516 * [backup-simplify]: Simplify 2 into 2 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [backup-simplify]: Simplify y into y 0.516 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.516 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.517 * [taylor]: Taking taylor expansion of 2 in x 0.517 * [backup-simplify]: Simplify 2 into 2 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [backup-simplify]: Simplify y into y 0.517 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.518 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.518 * [backup-simplify]: Simplify (+ 1 0) into 1 0.518 * [taylor]: Taking taylor expansion of 1 in y 0.518 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 0.526 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 0.527 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.527 * [taylor]: Taking taylor expansion of 2 in y 0.527 * [backup-simplify]: Simplify 2 into 2 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [backup-simplify]: Simplify (* 2 1) into 2 0.528 * [backup-simplify]: Simplify 2 into 2 0.529 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [taylor]: Taking taylor expansion of 0 in y 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.537 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 0.539 * * * [progress]: simplifying candidates 0.540 * [simplify]: Simplifying: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 0.541 * * [simplify]: Extracting # 0 : cost 0 0.541 * * [simplify]: Extracting # 1 : cost 0 0.541 * * [simplify]: Extracting # 2 : cost 0 0.541 * * [simplify]: Extracting # 3 : cost 0 0.541 * * [simplify]: Extracting # 4 : cost 0 0.542 * * [simplify]: Extracting # 5 : cost 0 0.542 * * [simplify]: Extracting # 6 : cost 0 0.542 * * [simplify]: iteration 0 : 60 enodes (cost 681 ) 0.557 * * [simplify]: Extracting # 0 : cost 0 0.557 * * [simplify]: Extracting # 1 : cost 0 0.557 * * [simplify]: Extracting # 2 : cost 0 0.558 * * [simplify]: Extracting # 3 : cost 0 0.558 * * [simplify]: Extracting # 4 : cost 0 0.558 * * [simplify]: iteration 1 : 209 enodes (cost 601 ) 0.750 * * [simplify]: Extracting # 0 : cost 0 0.753 * * [simplify]: Extracting # 1 : cost 0 0.756 * * [simplify]: Extracting # 2 : cost 0 0.758 * * [simplify]: Extracting # 3 : cost 0 0.761 * * [simplify]: Extracting # 4 : cost 0 0.764 * * [simplify]: iteration 2 : 1169 enodes (cost 453 ) 2.020 * * [simplify]: Extracting # 0 : cost 0 2.033 * * [simplify]: Extracting # 1 : cost 0 2.047 * * [simplify]: Extracting # 2 : cost 0 2.059 * * [simplify]: Extracting # 3 : cost 0 2.066 * * [simplify]: Extracting # 4 : cost 0 2.073 * * [simplify]: iteration done: 5002 enodes (cost 436 ) 2.074 * [simplify]: Simplified to: (expm1 (fma y y (fma 2 (* y y) (* x x)))) (log1p (fma y y (fma 2 (* y y) (* x x)))) (* (exp (* x x)) (pow (exp (* y y)) 3)) (* (exp (* x x)) (pow (exp (* y y)) 3)) (* (exp (* x x)) (pow (exp (* y y)) 3)) (log (fma y y (fma 2 (* y y) (* x x)))) (* (exp (* x x)) (pow (exp (* y y)) 3)) (* (cbrt (fma y y (fma 2 (* y y) (* x x)))) (cbrt (fma y y (fma 2 (* y y) (* x x))))) (cbrt (fma y y (fma 2 (* y y) (* x x)))) (pow (fma y y (fma 2 (* y y) (* x x))) 3) (sqrt (fma y y (fma 2 (* y y) (* x x)))) (sqrt (fma y y (fma 2 (* y y) (* x x)))) (+ (pow (fma 2 (* y y) (* x x)) 3) (pow y 6)) (fma y (* y (- (fma x x (* y y)))) (* (fma 2 (* y y) (* x x)) (fma 2 (* y y) (* x x)))) (* (fma x x (* y y)) (fma y y (fma 2 (* y y) (* x x)))) (fma x x (pow y 2)) (* y (* y 2)) (expm1 (fma 2 (* y y) (* x x))) (log1p (fma 2 (* y y) (* x x))) (exp (fma 2 (* y y) (* x x))) (exp (fma 2 (* y y) (* x x))) (log (fma 2 (* y y) (* x x))) (exp (fma 2 (* y y) (* x x))) (* (cbrt (fma 2 (* y y) (* x x))) (cbrt (fma 2 (* y y) (* x x)))) (cbrt (fma 2 (* y y) (* x x))) (pow (fma 2 (* y y) (* x x)) 3) (sqrt (fma 2 (* y y) (* x x))) (sqrt (fma 2 (* y y) (* x x))) (+ (pow (fma x x (* y y)) 3) (pow y 6)) (fma (fma x x (pow y 2)) (fma x x (pow y 2)) (* (- (* x x)) (* y y))) (* (* x x) (fma 2 (* y y) (* x x))) (* x x) (* y (* y 2)) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma 2 (pow y 2) (* x x)) (fma 2 (pow y 2) (* x x)) (fma 2 (pow y 2) (* x x)) 2.074 * * * [progress]: adding candidates to table 2.262 * * [progress]: iteration 2 / 4 2.262 * * * [progress]: picking best candidate 2.274 * * * * [pick]: Picked # 2.274 * * * [progress]: localizing error 2.280 * * * [progress]: generating rewritten candidates 2.280 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.281 * * * [progress]: generating series expansions 2.281 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.281 * [backup-simplify]: Simplify (fma (* y y) 3 (* x x)) into (fma (pow y 2) 3 (pow x 2)) 2.281 * [approximate]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in (y x) around 0 2.281 * [taylor]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in x 2.281 * [taylor]: Rewrote expression to (+ (* (pow y 2) 3) (pow x 2)) 2.281 * [taylor]: Taking taylor expansion of (* (pow y 2) 3) in x 2.281 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.281 * [taylor]: Taking taylor expansion of y in x 2.281 * [backup-simplify]: Simplify y into y 2.281 * [taylor]: Taking taylor expansion of 3 in x 2.281 * [backup-simplify]: Simplify 3 into 3 2.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.281 * [taylor]: Taking taylor expansion of x in x 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 1 into 1 2.281 * [taylor]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in y 2.281 * [taylor]: Rewrote expression to (+ (* (pow y 2) 3) (pow x 2)) 2.281 * [taylor]: Taking taylor expansion of (* (pow y 2) 3) in y 2.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.281 * [taylor]: Taking taylor expansion of y in y 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 1 into 1 2.281 * [taylor]: Taking taylor expansion of 3 in y 2.281 * [backup-simplify]: Simplify 3 into 3 2.281 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.281 * [taylor]: Taking taylor expansion of x in y 2.281 * [backup-simplify]: Simplify x into x 2.281 * [taylor]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in y 2.285 * [taylor]: Rewrote expression to (+ (* (pow y 2) 3) (pow x 2)) 2.285 * [taylor]: Taking taylor expansion of (* (pow y 2) 3) in y 2.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.285 * [taylor]: Taking taylor expansion of y in y 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [taylor]: Taking taylor expansion of 3 in y 2.285 * [backup-simplify]: Simplify 3 into 3 2.285 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.285 * [taylor]: Taking taylor expansion of x in y 2.285 * [backup-simplify]: Simplify x into x 2.285 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.286 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.286 * [taylor]: Taking taylor expansion of x in x 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.286 * [backup-simplify]: Simplify (+ 0 0) into 0 2.286 * [taylor]: Taking taylor expansion of 0 in x 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (* 1 1) into 1 2.287 * [backup-simplify]: Simplify (* 1 3) into 3 2.287 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.287 * [backup-simplify]: Simplify (+ 3 0) into 3 2.287 * [taylor]: Taking taylor expansion of 3 in x 2.287 * [backup-simplify]: Simplify 3 into 3 2.287 * [backup-simplify]: Simplify 3 into 3 2.287 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify (* 1 1) into 1 2.288 * [backup-simplify]: Simplify 1 into 1 2.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 3)) into 0 2.290 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.290 * [taylor]: Taking taylor expansion of 0 in x 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.291 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 2.294 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 2.294 * [backup-simplify]: Simplify (+ 0 0) into 0 2.294 * [taylor]: Taking taylor expansion of 0 in x 2.294 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 2.295 * [backup-simplify]: Simplify (fma (* (/ 1 y) (/ 1 y)) 3 (* (/ 1 x) (/ 1 x))) into (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) 2.295 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in (y x) around 0 2.295 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in x 2.296 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow y 2)) 3) (/ 1 (pow x 2))) 2.296 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) 3) in x 2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.296 * [taylor]: Taking taylor expansion of y in x 2.296 * [backup-simplify]: Simplify y into y 2.296 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.296 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.296 * [taylor]: Taking taylor expansion of 3 in x 2.296 * [backup-simplify]: Simplify 3 into 3 2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.296 * [taylor]: Taking taylor expansion of x in x 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (* 1 1) into 1 2.297 * [backup-simplify]: Simplify (/ 1 1) into 1 2.297 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in y 2.297 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow y 2)) 3) (/ 1 (pow x 2))) 2.297 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) 3) in y 2.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.297 * [taylor]: Taking taylor expansion of y in y 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.298 * [backup-simplify]: Simplify (* 1 1) into 1 2.298 * [backup-simplify]: Simplify (/ 1 1) into 1 2.298 * [taylor]: Taking taylor expansion of 3 in y 2.298 * [backup-simplify]: Simplify 3 into 3 2.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.298 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.298 * [taylor]: Taking taylor expansion of x in y 2.298 * [backup-simplify]: Simplify x into x 2.298 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.299 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.299 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in y 2.299 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow y 2)) 3) (/ 1 (pow x 2))) 2.299 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) 3) in y 2.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.299 * [taylor]: Taking taylor expansion of y in y 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [backup-simplify]: Simplify (* 1 1) into 1 2.300 * [backup-simplify]: Simplify (/ 1 1) into 1 2.300 * [taylor]: Taking taylor expansion of 3 in y 2.300 * [backup-simplify]: Simplify 3 into 3 2.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.300 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.300 * [taylor]: Taking taylor expansion of x in y 2.300 * [backup-simplify]: Simplify x into x 2.300 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.300 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.301 * [backup-simplify]: Simplify (* 1 3) into 3 2.301 * [backup-simplify]: Simplify (+ 3 0) into 3 2.301 * [taylor]: Taking taylor expansion of 3 in x 2.301 * [backup-simplify]: Simplify 3 into 3 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 3)) into 0 2.304 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [taylor]: Taking taylor expansion of 0 in x 2.304 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 2.307 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.307 * [taylor]: Taking taylor expansion of x in x 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify (* 1 1) into 1 2.308 * [backup-simplify]: Simplify (/ 1 1) into 1 2.308 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify 3 into 3 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 2.311 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.312 * [backup-simplify]: Simplify (+ 0 0) into 0 2.312 * [taylor]: Taking taylor expansion of 0 in x 2.312 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.313 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 2.317 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.318 * [backup-simplify]: Simplify (+ 0 0) into 0 2.318 * [taylor]: Taking taylor expansion of 0 in x 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 2.319 * [backup-simplify]: Simplify (fma (* (/ 1 (- y)) (/ 1 (- y))) 3 (* (/ 1 (- x)) (/ 1 (- x)))) into (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) 2.320 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in (y x) around 0 2.320 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in x 2.320 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow y 2)) 3) (/ 1 (pow x 2))) 2.320 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) 3) in x 2.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.320 * [taylor]: Taking taylor expansion of y in x 2.320 * [backup-simplify]: Simplify y into y 2.320 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.320 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.320 * [taylor]: Taking taylor expansion of 3 in x 2.320 * [backup-simplify]: Simplify 3 into 3 2.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.320 * [taylor]: Taking taylor expansion of x in x 2.320 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify 1 into 1 2.320 * [backup-simplify]: Simplify (* 1 1) into 1 2.321 * [backup-simplify]: Simplify (/ 1 1) into 1 2.321 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in y 2.321 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow y 2)) 3) (/ 1 (pow x 2))) 2.321 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) 3) in y 2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.321 * [taylor]: Taking taylor expansion of y in y 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 1 into 1 2.321 * [backup-simplify]: Simplify (* 1 1) into 1 2.321 * [backup-simplify]: Simplify (/ 1 1) into 1 2.321 * [taylor]: Taking taylor expansion of 3 in y 2.321 * [backup-simplify]: Simplify 3 into 3 2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.322 * [taylor]: Taking taylor expansion of x in y 2.322 * [backup-simplify]: Simplify x into x 2.322 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.322 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.322 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in y 2.322 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow y 2)) 3) (/ 1 (pow x 2))) 2.322 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) 3) in y 2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.322 * [taylor]: Taking taylor expansion of y in y 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [backup-simplify]: Simplify (* 1 1) into 1 2.322 * [backup-simplify]: Simplify (/ 1 1) into 1 2.322 * [taylor]: Taking taylor expansion of 3 in y 2.322 * [backup-simplify]: Simplify 3 into 3 2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.322 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.322 * [taylor]: Taking taylor expansion of x in y 2.322 * [backup-simplify]: Simplify x into x 2.323 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.323 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.323 * [backup-simplify]: Simplify (* 1 3) into 3 2.323 * [backup-simplify]: Simplify (+ 3 0) into 3 2.323 * [taylor]: Taking taylor expansion of 3 in x 2.323 * [backup-simplify]: Simplify 3 into 3 2.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 3)) into 0 2.325 * [backup-simplify]: Simplify (+ 0 0) into 0 2.325 * [taylor]: Taking taylor expansion of 0 in x 2.325 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 2.327 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.327 * [taylor]: Taking taylor expansion of x in x 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [backup-simplify]: Simplify (* 1 1) into 1 2.327 * [backup-simplify]: Simplify (/ 1 1) into 1 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [backup-simplify]: Simplify 3 into 3 2.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 2.329 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.330 * [backup-simplify]: Simplify (+ 0 0) into 0 2.330 * [taylor]: Taking taylor expansion of 0 in x 2.330 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 2.333 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.334 * [backup-simplify]: Simplify (+ 0 0) into 0 2.334 * [taylor]: Taking taylor expansion of 0 in x 2.334 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 2.336 * * * [progress]: simplifying candidates 2.336 * [simplify]: Simplifying: (expm1 (fma (* y y) 3 (* x x))) (log1p (fma (* y y) 3 (* x x))) (* (* y y) 3) (log (fma (* y y) 3 (* x x))) (exp (fma (* y y) 3 (* x x))) (* (cbrt (fma (* y y) 3 (* x x))) (cbrt (fma (* y y) 3 (* x x)))) (cbrt (fma (* y y) 3 (* x x))) (* (* (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x))) (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 2.336 * * [simplify]: Extracting # 0 : cost 0 2.336 * * [simplify]: Extracting # 1 : cost 0 2.336 * * [simplify]: Extracting # 2 : cost 0 2.336 * * [simplify]: Extracting # 3 : cost 0 2.336 * * [simplify]: Extracting # 4 : cost 0 2.336 * * [simplify]: Extracting # 5 : cost 0 2.336 * * [simplify]: iteration 0 : 21 enodes (cost 140 ) 2.340 * * [simplify]: Extracting # 0 : cost 0 2.340 * * [simplify]: Extracting # 1 : cost 0 2.341 * * [simplify]: Extracting # 2 : cost 0 2.341 * * [simplify]: Extracting # 3 : cost 0 2.341 * * [simplify]: Extracting # 4 : cost 0 2.341 * * [simplify]: iteration 1 : 33 enodes (cost 137 ) 2.353 * * [simplify]: Extracting # 0 : cost 0 2.353 * * [simplify]: Extracting # 1 : cost 0 2.353 * * [simplify]: Extracting # 2 : cost 0 2.353 * * [simplify]: iteration 2 : 118 enodes (cost 121 ) 2.441 * * [simplify]: Extracting # 0 : cost 0 2.442 * * [simplify]: Extracting # 1 : cost 0 2.443 * * [simplify]: Extracting # 2 : cost 0 2.444 * * [simplify]: Extracting # 3 : cost 0 2.445 * * [simplify]: Extracting # 4 : cost 0 2.445 * * [simplify]: iteration 3 : 511 enodes (cost 121 ) 3.268 * * [simplify]: Extracting # 0 : cost 0 3.276 * * [simplify]: Extracting # 1 : cost 0 3.285 * * [simplify]: Extracting # 2 : cost 0 3.293 * * [simplify]: Extracting # 3 : cost 0 3.299 * * [simplify]: Extracting # 4 : cost 0 3.306 * * [simplify]: iteration 4 : 4030 enodes (cost 121 ) 12.934 * * [simplify]: Extracting # 0 : cost 0 12.941 * * [simplify]: Extracting # 1 : cost 0 12.946 * * [simplify]: iteration done: 5000 enodes (cost 121 ) 12.947 * [simplify]: Simplified to: (expm1 (fma (* y y) 3 (* x x))) (log1p (fma (* y y) 3 (* x x))) (* 3 (pow y 2)) (log (fma (* y y) 3 (* x x))) (exp (fma (* y y) 3 (* x x))) (* (cbrt (fma (* y y) 3 (* x x))) (cbrt (fma (* y y) 3 (* x x)))) (cbrt (fma (* y y) 3 (* x x))) (pow (fma (* y y) 3 (* x x)) 3) (sqrt (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) 12.947 * * * [progress]: adding candidates to table 12.976 * * [progress]: iteration 3 / 4 12.976 * * * [progress]: picking best candidate 12.986 * * * * [pick]: Picked # 12.986 * * * [progress]: localizing error 12.997 * * * [progress]: generating rewritten candidates 12.997 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 13.039 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 13.075 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 13.075 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 13.126 * * * [progress]: generating series expansions 13.126 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 13.126 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 13.126 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 13.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 13.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 13.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.126 * [taylor]: Taking taylor expansion of x in y 13.126 * [backup-simplify]: Simplify x into x 13.126 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 13.126 * [taylor]: Taking taylor expansion of 2 in y 13.126 * [backup-simplify]: Simplify 2 into 2 13.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.127 * [taylor]: Taking taylor expansion of y in y 13.127 * [backup-simplify]: Simplify 0 into 0 13.127 * [backup-simplify]: Simplify 1 into 1 13.127 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.127 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 13.127 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 13.127 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.128 * [backup-simplify]: Simplify (+ 0 0) into 0 13.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 13.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 13.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 13.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.128 * [taylor]: Taking taylor expansion of x in x 13.128 * [backup-simplify]: Simplify 0 into 0 13.128 * [backup-simplify]: Simplify 1 into 1 13.128 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.128 * [taylor]: Taking taylor expansion of 2 in x 13.128 * [backup-simplify]: Simplify 2 into 2 13.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.128 * [taylor]: Taking taylor expansion of y in x 13.128 * [backup-simplify]: Simplify y into y 13.128 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.128 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.129 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 13.129 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.129 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.130 * [backup-simplify]: Simplify (+ 0 0) into 0 13.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.130 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 13.130 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 13.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.130 * [taylor]: Taking taylor expansion of x in x 13.130 * [backup-simplify]: Simplify 0 into 0 13.130 * [backup-simplify]: Simplify 1 into 1 13.130 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.130 * [taylor]: Taking taylor expansion of 2 in x 13.130 * [backup-simplify]: Simplify 2 into 2 13.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.130 * [taylor]: Taking taylor expansion of y in x 13.130 * [backup-simplify]: Simplify y into y 13.130 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.130 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.131 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 13.131 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.131 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.131 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.132 * [backup-simplify]: Simplify (+ 0 0) into 0 13.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.132 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 13.132 * [taylor]: Taking taylor expansion of (sqrt 2) in y 13.132 * [taylor]: Taking taylor expansion of 2 in y 13.132 * [backup-simplify]: Simplify 2 into 2 13.132 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.133 * [taylor]: Taking taylor expansion of y in y 13.133 * [backup-simplify]: Simplify 0 into 0 13.133 * [backup-simplify]: Simplify 1 into 1 13.134 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 13.134 * [backup-simplify]: Simplify 0 into 0 13.134 * [taylor]: Taking taylor expansion of 0 in y 13.134 * [backup-simplify]: Simplify 0 into 0 13.134 * [backup-simplify]: Simplify 0 into 0 13.135 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 13.136 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.136 * [backup-simplify]: Simplify (* 1 1) into 1 13.137 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.137 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 13.137 * [backup-simplify]: Simplify (+ 1 0) into 1 13.138 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 13.138 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 13.138 * [taylor]: Taking taylor expansion of 1/2 in y 13.138 * [backup-simplify]: Simplify 1/2 into 1/2 13.138 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 13.138 * [taylor]: Taking taylor expansion of (sqrt 2) in y 13.138 * [taylor]: Taking taylor expansion of 2 in y 13.138 * [backup-simplify]: Simplify 2 into 2 13.139 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.139 * [taylor]: Taking taylor expansion of y in y 13.139 * [backup-simplify]: Simplify 0 into 0 13.139 * [backup-simplify]: Simplify 1 into 1 13.139 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 13.141 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 13.141 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 13.142 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 13.142 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 13.143 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 13.143 * [backup-simplify]: Simplify 0 into 0 13.143 * [backup-simplify]: Simplify 0 into 0 13.144 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 13.144 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 13.144 * [backup-simplify]: Simplify 0 into 0 13.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.145 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 13.147 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 13.147 * [backup-simplify]: Simplify (+ 0 0) into 0 13.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 13.148 * [taylor]: Taking taylor expansion of 0 in y 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [backup-simplify]: Simplify 0 into 0 13.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 13.150 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.152 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 13.152 * [backup-simplify]: Simplify 0 into 0 13.152 * [backup-simplify]: Simplify 0 into 0 13.152 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 13.153 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 13.153 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 13.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 13.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 13.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.153 * [taylor]: Taking taylor expansion of x in y 13.153 * [backup-simplify]: Simplify x into x 13.153 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.153 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.153 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.153 * [taylor]: Taking taylor expansion of 2 in y 13.153 * [backup-simplify]: Simplify 2 into 2 13.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.153 * [taylor]: Taking taylor expansion of y in y 13.153 * [backup-simplify]: Simplify 0 into 0 13.153 * [backup-simplify]: Simplify 1 into 1 13.154 * [backup-simplify]: Simplify (* 1 1) into 1 13.154 * [backup-simplify]: Simplify (/ 1 1) into 1 13.154 * [backup-simplify]: Simplify (* 2 1) into 2 13.155 * [backup-simplify]: Simplify (+ 0 2) into 2 13.155 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.158 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.158 * [backup-simplify]: Simplify (+ 0 0) into 0 13.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.159 * [taylor]: Taking taylor expansion of x in x 13.159 * [backup-simplify]: Simplify 0 into 0 13.159 * [backup-simplify]: Simplify 1 into 1 13.159 * [backup-simplify]: Simplify (* 1 1) into 1 13.160 * [backup-simplify]: Simplify (/ 1 1) into 1 13.160 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.160 * [taylor]: Taking taylor expansion of 2 in x 13.160 * [backup-simplify]: Simplify 2 into 2 13.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.160 * [taylor]: Taking taylor expansion of y in x 13.160 * [backup-simplify]: Simplify y into y 13.160 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.160 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.161 * [backup-simplify]: Simplify (+ 1 0) into 1 13.161 * [backup-simplify]: Simplify (sqrt 1) into 1 13.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.163 * [backup-simplify]: Simplify (+ 0 0) into 0 13.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.164 * [taylor]: Taking taylor expansion of x in x 13.164 * [backup-simplify]: Simplify 0 into 0 13.164 * [backup-simplify]: Simplify 1 into 1 13.165 * [backup-simplify]: Simplify (* 1 1) into 1 13.165 * [backup-simplify]: Simplify (/ 1 1) into 1 13.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.165 * [taylor]: Taking taylor expansion of 2 in x 13.165 * [backup-simplify]: Simplify 2 into 2 13.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.165 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.165 * [taylor]: Taking taylor expansion of y in x 13.165 * [backup-simplify]: Simplify y into y 13.165 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.165 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.166 * [backup-simplify]: Simplify (+ 1 0) into 1 13.166 * [backup-simplify]: Simplify (sqrt 1) into 1 13.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.168 * [backup-simplify]: Simplify (+ 0 0) into 0 13.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.169 * [taylor]: Taking taylor expansion of 1 in y 13.169 * [backup-simplify]: Simplify 1 into 1 13.169 * [taylor]: Taking taylor expansion of 0 in y 13.169 * [backup-simplify]: Simplify 0 into 0 13.169 * [backup-simplify]: Simplify 1 into 1 13.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.171 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.171 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 13.172 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.172 * [taylor]: Taking taylor expansion of y in y 13.172 * [backup-simplify]: Simplify 0 into 0 13.172 * [backup-simplify]: Simplify 1 into 1 13.173 * [backup-simplify]: Simplify (* 1 1) into 1 13.173 * [backup-simplify]: Simplify (/ 1 1) into 1 13.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.175 * [backup-simplify]: Simplify 0 into 0 13.175 * [backup-simplify]: Simplify 0 into 0 13.175 * [backup-simplify]: Simplify 0 into 0 13.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.177 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.178 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.178 * [backup-simplify]: Simplify (+ 0 0) into 0 13.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.179 * [taylor]: Taking taylor expansion of 0 in y 13.179 * [backup-simplify]: Simplify 0 into 0 13.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.181 * [backup-simplify]: Simplify 0 into 0 13.181 * [backup-simplify]: Simplify 0 into 0 13.181 * [backup-simplify]: Simplify 0 into 0 13.181 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 13.181 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 13.181 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 13.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 13.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 13.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.182 * [taylor]: Taking taylor expansion of x in y 13.182 * [backup-simplify]: Simplify x into x 13.182 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.182 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.182 * [taylor]: Taking taylor expansion of 2 in y 13.182 * [backup-simplify]: Simplify 2 into 2 13.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.182 * [taylor]: Taking taylor expansion of y in y 13.182 * [backup-simplify]: Simplify 0 into 0 13.182 * [backup-simplify]: Simplify 1 into 1 13.183 * [backup-simplify]: Simplify (* 1 1) into 1 13.183 * [backup-simplify]: Simplify (/ 1 1) into 1 13.184 * [backup-simplify]: Simplify (* 2 1) into 2 13.184 * [backup-simplify]: Simplify (+ 0 2) into 2 13.184 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.186 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.187 * [backup-simplify]: Simplify (+ 0 0) into 0 13.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.187 * [taylor]: Taking taylor expansion of x in x 13.187 * [backup-simplify]: Simplify 0 into 0 13.187 * [backup-simplify]: Simplify 1 into 1 13.188 * [backup-simplify]: Simplify (* 1 1) into 1 13.188 * [backup-simplify]: Simplify (/ 1 1) into 1 13.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.188 * [taylor]: Taking taylor expansion of 2 in x 13.188 * [backup-simplify]: Simplify 2 into 2 13.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.188 * [taylor]: Taking taylor expansion of y in x 13.188 * [backup-simplify]: Simplify y into y 13.188 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.189 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.189 * [backup-simplify]: Simplify (+ 1 0) into 1 13.189 * [backup-simplify]: Simplify (sqrt 1) into 1 13.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.191 * [backup-simplify]: Simplify (+ 0 0) into 0 13.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.191 * [taylor]: Taking taylor expansion of x in x 13.191 * [backup-simplify]: Simplify 0 into 0 13.191 * [backup-simplify]: Simplify 1 into 1 13.192 * [backup-simplify]: Simplify (* 1 1) into 1 13.192 * [backup-simplify]: Simplify (/ 1 1) into 1 13.192 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.192 * [taylor]: Taking taylor expansion of 2 in x 13.192 * [backup-simplify]: Simplify 2 into 2 13.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.192 * [taylor]: Taking taylor expansion of y in x 13.192 * [backup-simplify]: Simplify y into y 13.192 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.193 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.193 * [backup-simplify]: Simplify (+ 1 0) into 1 13.193 * [backup-simplify]: Simplify (sqrt 1) into 1 13.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.195 * [backup-simplify]: Simplify (+ 0 0) into 0 13.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.196 * [taylor]: Taking taylor expansion of 1 in y 13.196 * [backup-simplify]: Simplify 1 into 1 13.196 * [taylor]: Taking taylor expansion of 0 in y 13.196 * [backup-simplify]: Simplify 0 into 0 13.196 * [backup-simplify]: Simplify 1 into 1 13.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.198 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.198 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 13.199 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.199 * [taylor]: Taking taylor expansion of y in y 13.199 * [backup-simplify]: Simplify 0 into 0 13.199 * [backup-simplify]: Simplify 1 into 1 13.200 * [backup-simplify]: Simplify (* 1 1) into 1 13.200 * [backup-simplify]: Simplify (/ 1 1) into 1 13.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.201 * [backup-simplify]: Simplify 0 into 0 13.201 * [backup-simplify]: Simplify 0 into 0 13.202 * [backup-simplify]: Simplify 0 into 0 13.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.203 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.204 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.205 * [backup-simplify]: Simplify (+ 0 0) into 0 13.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.205 * [taylor]: Taking taylor expansion of 0 in y 13.205 * [backup-simplify]: Simplify 0 into 0 13.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.207 * [backup-simplify]: Simplify 0 into 0 13.207 * [backup-simplify]: Simplify 0 into 0 13.207 * [backup-simplify]: Simplify 0 into 0 13.207 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 13.207 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 13.208 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 13.208 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 13.208 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 13.208 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 13.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.208 * [taylor]: Taking taylor expansion of x in y 13.208 * [backup-simplify]: Simplify x into x 13.208 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 13.208 * [taylor]: Taking taylor expansion of 2 in y 13.208 * [backup-simplify]: Simplify 2 into 2 13.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.208 * [taylor]: Taking taylor expansion of y in y 13.208 * [backup-simplify]: Simplify 0 into 0 13.208 * [backup-simplify]: Simplify 1 into 1 13.208 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.208 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 13.208 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 13.209 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.209 * [backup-simplify]: Simplify (+ 0 0) into 0 13.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 13.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 13.209 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 13.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.209 * [taylor]: Taking taylor expansion of x in x 13.209 * [backup-simplify]: Simplify 0 into 0 13.209 * [backup-simplify]: Simplify 1 into 1 13.209 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.209 * [taylor]: Taking taylor expansion of 2 in x 13.209 * [backup-simplify]: Simplify 2 into 2 13.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.209 * [taylor]: Taking taylor expansion of y in x 13.209 * [backup-simplify]: Simplify y into y 13.210 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.210 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.210 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 13.210 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.210 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.211 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.211 * [backup-simplify]: Simplify (+ 0 0) into 0 13.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 13.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 13.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.211 * [taylor]: Taking taylor expansion of x in x 13.211 * [backup-simplify]: Simplify 0 into 0 13.211 * [backup-simplify]: Simplify 1 into 1 13.211 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.212 * [taylor]: Taking taylor expansion of 2 in x 13.212 * [backup-simplify]: Simplify 2 into 2 13.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.212 * [taylor]: Taking taylor expansion of y in x 13.212 * [backup-simplify]: Simplify y into y 13.212 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.212 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.212 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 13.212 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.212 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.213 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.213 * [backup-simplify]: Simplify (+ 0 0) into 0 13.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.214 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 13.214 * [taylor]: Taking taylor expansion of (sqrt 2) in y 13.214 * [taylor]: Taking taylor expansion of 2 in y 13.214 * [backup-simplify]: Simplify 2 into 2 13.214 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.215 * [taylor]: Taking taylor expansion of y in y 13.215 * [backup-simplify]: Simplify 0 into 0 13.215 * [backup-simplify]: Simplify 1 into 1 13.215 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 13.215 * [backup-simplify]: Simplify 0 into 0 13.215 * [taylor]: Taking taylor expansion of 0 in y 13.216 * [backup-simplify]: Simplify 0 into 0 13.216 * [backup-simplify]: Simplify 0 into 0 13.218 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 13.218 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.218 * [backup-simplify]: Simplify (* 1 1) into 1 13.219 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.220 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 13.220 * [backup-simplify]: Simplify (+ 1 0) into 1 13.221 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 13.221 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 13.221 * [taylor]: Taking taylor expansion of 1/2 in y 13.221 * [backup-simplify]: Simplify 1/2 into 1/2 13.221 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 13.221 * [taylor]: Taking taylor expansion of (sqrt 2) in y 13.221 * [taylor]: Taking taylor expansion of 2 in y 13.221 * [backup-simplify]: Simplify 2 into 2 13.222 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.222 * [taylor]: Taking taylor expansion of y in y 13.222 * [backup-simplify]: Simplify 0 into 0 13.222 * [backup-simplify]: Simplify 1 into 1 13.222 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 13.224 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 13.224 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 13.225 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 13.226 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 13.226 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 13.226 * [backup-simplify]: Simplify 0 into 0 13.226 * [backup-simplify]: Simplify 0 into 0 13.227 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 13.228 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 13.228 * [backup-simplify]: Simplify 0 into 0 13.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.229 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 13.229 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 13.230 * [backup-simplify]: Simplify (+ 0 0) into 0 13.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 13.230 * [taylor]: Taking taylor expansion of 0 in y 13.230 * [backup-simplify]: Simplify 0 into 0 13.230 * [backup-simplify]: Simplify 0 into 0 13.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 13.234 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.235 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 13.235 * [backup-simplify]: Simplify 0 into 0 13.235 * [backup-simplify]: Simplify 0 into 0 13.235 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 13.235 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 13.235 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 13.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 13.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 13.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.236 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.236 * [taylor]: Taking taylor expansion of x in y 13.236 * [backup-simplify]: Simplify x into x 13.236 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.236 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.236 * [taylor]: Taking taylor expansion of 2 in y 13.236 * [backup-simplify]: Simplify 2 into 2 13.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.236 * [taylor]: Taking taylor expansion of y in y 13.236 * [backup-simplify]: Simplify 0 into 0 13.236 * [backup-simplify]: Simplify 1 into 1 13.236 * [backup-simplify]: Simplify (* 1 1) into 1 13.236 * [backup-simplify]: Simplify (/ 1 1) into 1 13.237 * [backup-simplify]: Simplify (* 2 1) into 2 13.237 * [backup-simplify]: Simplify (+ 0 2) into 2 13.237 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.238 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.239 * [backup-simplify]: Simplify (+ 0 0) into 0 13.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.239 * [taylor]: Taking taylor expansion of x in x 13.239 * [backup-simplify]: Simplify 0 into 0 13.239 * [backup-simplify]: Simplify 1 into 1 13.239 * [backup-simplify]: Simplify (* 1 1) into 1 13.240 * [backup-simplify]: Simplify (/ 1 1) into 1 13.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.240 * [taylor]: Taking taylor expansion of 2 in x 13.240 * [backup-simplify]: Simplify 2 into 2 13.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.240 * [taylor]: Taking taylor expansion of y in x 13.240 * [backup-simplify]: Simplify y into y 13.240 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.240 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.240 * [backup-simplify]: Simplify (+ 1 0) into 1 13.240 * [backup-simplify]: Simplify (sqrt 1) into 1 13.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.241 * [backup-simplify]: Simplify (+ 0 0) into 0 13.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.242 * [taylor]: Taking taylor expansion of x in x 13.242 * [backup-simplify]: Simplify 0 into 0 13.242 * [backup-simplify]: Simplify 1 into 1 13.242 * [backup-simplify]: Simplify (* 1 1) into 1 13.242 * [backup-simplify]: Simplify (/ 1 1) into 1 13.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.242 * [taylor]: Taking taylor expansion of 2 in x 13.243 * [backup-simplify]: Simplify 2 into 2 13.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.243 * [taylor]: Taking taylor expansion of y in x 13.243 * [backup-simplify]: Simplify y into y 13.243 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.243 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.243 * [backup-simplify]: Simplify (+ 1 0) into 1 13.243 * [backup-simplify]: Simplify (sqrt 1) into 1 13.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.244 * [backup-simplify]: Simplify (+ 0 0) into 0 13.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.245 * [taylor]: Taking taylor expansion of 1 in y 13.245 * [backup-simplify]: Simplify 1 into 1 13.245 * [taylor]: Taking taylor expansion of 0 in y 13.245 * [backup-simplify]: Simplify 0 into 0 13.245 * [backup-simplify]: Simplify 1 into 1 13.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.246 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.246 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 13.247 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.247 * [taylor]: Taking taylor expansion of y in y 13.247 * [backup-simplify]: Simplify 0 into 0 13.247 * [backup-simplify]: Simplify 1 into 1 13.247 * [backup-simplify]: Simplify (* 1 1) into 1 13.248 * [backup-simplify]: Simplify (/ 1 1) into 1 13.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.248 * [backup-simplify]: Simplify 0 into 0 13.248 * [backup-simplify]: Simplify 0 into 0 13.248 * [backup-simplify]: Simplify 0 into 0 13.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.250 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.250 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.250 * [backup-simplify]: Simplify (+ 0 0) into 0 13.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.251 * [taylor]: Taking taylor expansion of 0 in y 13.251 * [backup-simplify]: Simplify 0 into 0 13.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.252 * [backup-simplify]: Simplify 0 into 0 13.252 * [backup-simplify]: Simplify 0 into 0 13.252 * [backup-simplify]: Simplify 0 into 0 13.252 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 13.252 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 13.252 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 13.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 13.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 13.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.253 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.253 * [taylor]: Taking taylor expansion of x in y 13.253 * [backup-simplify]: Simplify x into x 13.253 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.253 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.253 * [taylor]: Taking taylor expansion of 2 in y 13.253 * [backup-simplify]: Simplify 2 into 2 13.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.253 * [taylor]: Taking taylor expansion of y in y 13.253 * [backup-simplify]: Simplify 0 into 0 13.253 * [backup-simplify]: Simplify 1 into 1 13.253 * [backup-simplify]: Simplify (* 1 1) into 1 13.253 * [backup-simplify]: Simplify (/ 1 1) into 1 13.254 * [backup-simplify]: Simplify (* 2 1) into 2 13.254 * [backup-simplify]: Simplify (+ 0 2) into 2 13.254 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.255 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.256 * [backup-simplify]: Simplify (+ 0 0) into 0 13.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.256 * [taylor]: Taking taylor expansion of x in x 13.256 * [backup-simplify]: Simplify 0 into 0 13.256 * [backup-simplify]: Simplify 1 into 1 13.256 * [backup-simplify]: Simplify (* 1 1) into 1 13.257 * [backup-simplify]: Simplify (/ 1 1) into 1 13.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.257 * [taylor]: Taking taylor expansion of 2 in x 13.257 * [backup-simplify]: Simplify 2 into 2 13.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.257 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.257 * [taylor]: Taking taylor expansion of y in x 13.257 * [backup-simplify]: Simplify y into y 13.257 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.257 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.257 * [backup-simplify]: Simplify (+ 1 0) into 1 13.257 * [backup-simplify]: Simplify (sqrt 1) into 1 13.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.258 * [backup-simplify]: Simplify (+ 0 0) into 0 13.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.259 * [taylor]: Taking taylor expansion of x in x 13.259 * [backup-simplify]: Simplify 0 into 0 13.259 * [backup-simplify]: Simplify 1 into 1 13.259 * [backup-simplify]: Simplify (* 1 1) into 1 13.259 * [backup-simplify]: Simplify (/ 1 1) into 1 13.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.259 * [taylor]: Taking taylor expansion of 2 in x 13.259 * [backup-simplify]: Simplify 2 into 2 13.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.260 * [taylor]: Taking taylor expansion of y in x 13.260 * [backup-simplify]: Simplify y into y 13.260 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.260 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.260 * [backup-simplify]: Simplify (+ 1 0) into 1 13.260 * [backup-simplify]: Simplify (sqrt 1) into 1 13.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.262 * [backup-simplify]: Simplify (+ 0 0) into 0 13.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.263 * [taylor]: Taking taylor expansion of 1 in y 13.263 * [backup-simplify]: Simplify 1 into 1 13.263 * [taylor]: Taking taylor expansion of 0 in y 13.263 * [backup-simplify]: Simplify 0 into 0 13.263 * [backup-simplify]: Simplify 1 into 1 13.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.265 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.265 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 13.266 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.266 * [taylor]: Taking taylor expansion of y in y 13.266 * [backup-simplify]: Simplify 0 into 0 13.266 * [backup-simplify]: Simplify 1 into 1 13.267 * [backup-simplify]: Simplify (* 1 1) into 1 13.267 * [backup-simplify]: Simplify (/ 1 1) into 1 13.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.268 * [backup-simplify]: Simplify 0 into 0 13.268 * [backup-simplify]: Simplify 0 into 0 13.268 * [backup-simplify]: Simplify 0 into 0 13.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.270 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.270 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.271 * [backup-simplify]: Simplify (+ 0 0) into 0 13.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.271 * [taylor]: Taking taylor expansion of 0 in y 13.271 * [backup-simplify]: Simplify 0 into 0 13.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.272 * [backup-simplify]: Simplify 0 into 0 13.272 * [backup-simplify]: Simplify 0 into 0 13.272 * [backup-simplify]: Simplify 0 into 0 13.272 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 13.272 * * * * [progress]: [ 3 / 4 ] generating series at (2) 13.273 * [backup-simplify]: Simplify (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) into (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) 13.273 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0 13.273 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 13.273 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 13.273 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 13.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 13.273 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 13.273 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.273 * [taylor]: Taking taylor expansion of x in y 13.273 * [backup-simplify]: Simplify x into x 13.273 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 13.273 * [taylor]: Taking taylor expansion of 2 in y 13.273 * [backup-simplify]: Simplify 2 into 2 13.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.273 * [taylor]: Taking taylor expansion of y in y 13.273 * [backup-simplify]: Simplify 0 into 0 13.273 * [backup-simplify]: Simplify 1 into 1 13.273 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.273 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 13.273 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 13.273 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.274 * [backup-simplify]: Simplify (+ 0 0) into 0 13.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 13.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 13.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 13.274 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.274 * [taylor]: Taking taylor expansion of x in y 13.274 * [backup-simplify]: Simplify x into x 13.274 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 13.274 * [taylor]: Taking taylor expansion of 2 in y 13.274 * [backup-simplify]: Simplify 2 into 2 13.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.274 * [taylor]: Taking taylor expansion of y in y 13.274 * [backup-simplify]: Simplify 0 into 0 13.274 * [backup-simplify]: Simplify 1 into 1 13.274 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.274 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 13.274 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 13.274 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 13.274 * [backup-simplify]: Simplify (+ 0 0) into 0 13.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 13.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.275 * [taylor]: Taking taylor expansion of y in y 13.275 * [backup-simplify]: Simplify 0 into 0 13.275 * [backup-simplify]: Simplify 1 into 1 13.275 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 13.275 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 13.275 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 13.275 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 13.275 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 13.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.275 * [taylor]: Taking taylor expansion of x in x 13.275 * [backup-simplify]: Simplify 0 into 0 13.275 * [backup-simplify]: Simplify 1 into 1 13.275 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.275 * [taylor]: Taking taylor expansion of 2 in x 13.275 * [backup-simplify]: Simplify 2 into 2 13.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.275 * [taylor]: Taking taylor expansion of y in x 13.275 * [backup-simplify]: Simplify y into y 13.275 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.275 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.276 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 13.276 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.276 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.276 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.276 * [backup-simplify]: Simplify (+ 0 0) into 0 13.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 13.276 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 13.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.276 * [taylor]: Taking taylor expansion of x in x 13.276 * [backup-simplify]: Simplify 0 into 0 13.277 * [backup-simplify]: Simplify 1 into 1 13.277 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.277 * [taylor]: Taking taylor expansion of 2 in x 13.277 * [backup-simplify]: Simplify 2 into 2 13.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.277 * [taylor]: Taking taylor expansion of y in x 13.277 * [backup-simplify]: Simplify y into y 13.277 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.277 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.277 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 13.277 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.277 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.277 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.278 * [backup-simplify]: Simplify (+ 0 0) into 0 13.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.278 * [taylor]: Taking taylor expansion of y in x 13.278 * [backup-simplify]: Simplify y into y 13.278 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 13.278 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 13.278 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 13.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 13.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 13.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.278 * [taylor]: Taking taylor expansion of x in x 13.278 * [backup-simplify]: Simplify 0 into 0 13.278 * [backup-simplify]: Simplify 1 into 1 13.278 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.278 * [taylor]: Taking taylor expansion of 2 in x 13.278 * [backup-simplify]: Simplify 2 into 2 13.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.278 * [taylor]: Taking taylor expansion of y in x 13.278 * [backup-simplify]: Simplify y into y 13.278 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.278 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.278 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 13.278 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.279 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.279 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.279 * [backup-simplify]: Simplify (+ 0 0) into 0 13.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 13.279 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 13.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.279 * [taylor]: Taking taylor expansion of x in x 13.279 * [backup-simplify]: Simplify 0 into 0 13.279 * [backup-simplify]: Simplify 1 into 1 13.279 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.279 * [taylor]: Taking taylor expansion of 2 in x 13.279 * [backup-simplify]: Simplify 2 into 2 13.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.279 * [taylor]: Taking taylor expansion of y in x 13.279 * [backup-simplify]: Simplify y into y 13.280 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.280 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.280 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 13.280 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 13.280 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.280 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.280 * [backup-simplify]: Simplify (+ 0 0) into 0 13.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 13.281 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.281 * [taylor]: Taking taylor expansion of y in x 13.281 * [backup-simplify]: Simplify y into y 13.281 * [backup-simplify]: Simplify (* (* (sqrt 2) y) (* (sqrt 2) y)) into (* (pow (sqrt 2) 2) (pow y 2)) 13.281 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.282 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) (pow y 2)) (pow y 2)) into (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) 13.282 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 13.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.282 * [taylor]: Taking taylor expansion of y in y 13.282 * [backup-simplify]: Simplify 0 into 0 13.282 * [backup-simplify]: Simplify 1 into 1 13.282 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 13.282 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 13.282 * [taylor]: Taking taylor expansion of (sqrt 2) in y 13.282 * [taylor]: Taking taylor expansion of 2 in y 13.282 * [backup-simplify]: Simplify 2 into 2 13.283 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.283 * [taylor]: Taking taylor expansion of y in y 13.284 * [backup-simplify]: Simplify 0 into 0 13.284 * [backup-simplify]: Simplify 1 into 1 13.284 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) 0) (* 0 (* (sqrt 2) y))) into 0 13.284 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.284 * [backup-simplify]: Simplify (+ 0 0) into 0 13.284 * [taylor]: Taking taylor expansion of 0 in y 13.284 * [backup-simplify]: Simplify 0 into 0 13.284 * [backup-simplify]: Simplify 0 into 0 13.285 * [backup-simplify]: Simplify (* 1 1) into 1 13.285 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.286 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 13.286 * [backup-simplify]: Simplify (+ 1 0) into 1 13.287 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 13.287 * [backup-simplify]: Simplify (* 1 1) into 1 13.287 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.288 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 13.288 * [backup-simplify]: Simplify (+ 1 0) into 1 13.289 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 13.290 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) (/ 1/2 (* (sqrt 2) y))) (+ (* 0 0) (* (/ 1/2 (* (sqrt 2) y)) (* (sqrt 2) y)))) into 1 13.290 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.290 * [backup-simplify]: Simplify (+ 1 0) into 1 13.290 * [taylor]: Taking taylor expansion of 1 in y 13.290 * [backup-simplify]: Simplify 1 into 1 13.290 * [backup-simplify]: Simplify 1 into 1 13.290 * [backup-simplify]: Simplify 0 into 0 13.291 * [backup-simplify]: Simplify (* 1 1) into 1 13.291 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 13.292 * [backup-simplify]: Simplify (* 1 1) into 1 13.293 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) 1) into (pow (sqrt 2) 2) 13.293 * [backup-simplify]: Simplify (+ 1 (pow (sqrt 2) 2)) into (+ (pow (sqrt 2) 2) 1) 13.294 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 13.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.295 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 13.296 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 13.296 * [backup-simplify]: Simplify (+ 0 0) into 0 13.297 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 13.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.298 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 13.300 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 13.300 * [backup-simplify]: Simplify (+ 0 0) into 0 13.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 13.303 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) 0) (+ (* 0 (/ 1/2 (* (sqrt 2) y))) (+ (* (/ 1/2 (* (sqrt 2) y)) 0) (* 0 (* (sqrt 2) y))))) into 0 13.304 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 13.304 * [backup-simplify]: Simplify (+ 0 0) into 0 13.304 * [taylor]: Taking taylor expansion of 0 in y 13.304 * [backup-simplify]: Simplify 0 into 0 13.304 * [backup-simplify]: Simplify 0 into 0 13.304 * [backup-simplify]: Simplify 0 into 0 13.304 * [backup-simplify]: Simplify 0 into 0 13.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.306 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 13.307 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 1)) into 0 13.308 * [backup-simplify]: Simplify (+ 0 0) into 0 13.308 * [backup-simplify]: Simplify 0 into 0 13.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.310 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 13.311 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 13.311 * [backup-simplify]: Simplify (+ 0 0) into 0 13.313 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (* (sqrt 2) y)) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) y))) into (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3))) 13.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.314 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 13.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 13.315 * [backup-simplify]: Simplify (+ 0 0) into 0 13.316 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (* (sqrt 2) y)) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) y))) into (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3))) 13.319 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3)))) (+ (* 0 0) (+ (* (/ 1/2 (* (sqrt 2) y)) (/ 1/2 (* (sqrt 2) y))) (+ (* 0 0) (* (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3))) (* (sqrt 2) y)))))) into 0 13.320 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 13.320 * [backup-simplify]: Simplify (+ 0 0) into 0 13.320 * [taylor]: Taking taylor expansion of 0 in y 13.320 * [backup-simplify]: Simplify 0 into 0 13.320 * [backup-simplify]: Simplify 0 into 0 13.320 * [backup-simplify]: Simplify 0 into 0 13.322 * [backup-simplify]: Simplify (+ (* (+ (pow (sqrt 2) 2) 1) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) 13.322 * [backup-simplify]: Simplify (fma (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (* (/ 1 y) (/ 1 y))) into (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) 13.322 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 13.322 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 13.322 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 13.322 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 13.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 13.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 13.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.322 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.322 * [taylor]: Taking taylor expansion of x in y 13.322 * [backup-simplify]: Simplify x into x 13.323 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.323 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.323 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.323 * [taylor]: Taking taylor expansion of 2 in y 13.323 * [backup-simplify]: Simplify 2 into 2 13.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.323 * [taylor]: Taking taylor expansion of y in y 13.323 * [backup-simplify]: Simplify 0 into 0 13.323 * [backup-simplify]: Simplify 1 into 1 13.323 * [backup-simplify]: Simplify (* 1 1) into 1 13.323 * [backup-simplify]: Simplify (/ 1 1) into 1 13.324 * [backup-simplify]: Simplify (* 2 1) into 2 13.324 * [backup-simplify]: Simplify (+ 0 2) into 2 13.324 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.325 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.326 * [backup-simplify]: Simplify (+ 0 0) into 0 13.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 13.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 13.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.326 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.326 * [taylor]: Taking taylor expansion of x in y 13.326 * [backup-simplify]: Simplify x into x 13.326 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.326 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.326 * [taylor]: Taking taylor expansion of 2 in y 13.326 * [backup-simplify]: Simplify 2 into 2 13.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.326 * [taylor]: Taking taylor expansion of y in y 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [backup-simplify]: Simplify 1 into 1 13.327 * [backup-simplify]: Simplify (* 1 1) into 1 13.327 * [backup-simplify]: Simplify (/ 1 1) into 1 13.327 * [backup-simplify]: Simplify (* 2 1) into 2 13.327 * [backup-simplify]: Simplify (+ 0 2) into 2 13.328 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.329 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.329 * [backup-simplify]: Simplify (+ 0 0) into 0 13.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.330 * [taylor]: Taking taylor expansion of y in y 13.330 * [backup-simplify]: Simplify 0 into 0 13.330 * [backup-simplify]: Simplify 1 into 1 13.330 * [backup-simplify]: Simplify (* 1 1) into 1 13.330 * [backup-simplify]: Simplify (/ 1 1) into 1 13.330 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 13.330 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 13.330 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 13.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.331 * [taylor]: Taking taylor expansion of x in x 13.331 * [backup-simplify]: Simplify 0 into 0 13.331 * [backup-simplify]: Simplify 1 into 1 13.331 * [backup-simplify]: Simplify (* 1 1) into 1 13.331 * [backup-simplify]: Simplify (/ 1 1) into 1 13.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.331 * [taylor]: Taking taylor expansion of 2 in x 13.331 * [backup-simplify]: Simplify 2 into 2 13.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.331 * [taylor]: Taking taylor expansion of y in x 13.331 * [backup-simplify]: Simplify y into y 13.331 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.331 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.332 * [backup-simplify]: Simplify (+ 1 0) into 1 13.332 * [backup-simplify]: Simplify (sqrt 1) into 1 13.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.333 * [backup-simplify]: Simplify (+ 0 0) into 0 13.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.333 * [taylor]: Taking taylor expansion of x in x 13.333 * [backup-simplify]: Simplify 0 into 0 13.333 * [backup-simplify]: Simplify 1 into 1 13.334 * [backup-simplify]: Simplify (* 1 1) into 1 13.334 * [backup-simplify]: Simplify (/ 1 1) into 1 13.334 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.334 * [taylor]: Taking taylor expansion of 2 in x 13.334 * [backup-simplify]: Simplify 2 into 2 13.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.334 * [taylor]: Taking taylor expansion of y in x 13.334 * [backup-simplify]: Simplify y into y 13.334 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.334 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.337 * [backup-simplify]: Simplify (+ 1 0) into 1 13.337 * [backup-simplify]: Simplify (sqrt 1) into 1 13.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.338 * [backup-simplify]: Simplify (+ 0 0) into 0 13.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.339 * [taylor]: Taking taylor expansion of y in x 13.339 * [backup-simplify]: Simplify y into y 13.339 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.339 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.339 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 13.339 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 13.339 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 13.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.339 * [taylor]: Taking taylor expansion of x in x 13.339 * [backup-simplify]: Simplify 0 into 0 13.340 * [backup-simplify]: Simplify 1 into 1 13.340 * [backup-simplify]: Simplify (* 1 1) into 1 13.340 * [backup-simplify]: Simplify (/ 1 1) into 1 13.340 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.340 * [taylor]: Taking taylor expansion of 2 in x 13.340 * [backup-simplify]: Simplify 2 into 2 13.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.340 * [taylor]: Taking taylor expansion of y in x 13.340 * [backup-simplify]: Simplify y into y 13.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.340 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.341 * [backup-simplify]: Simplify (+ 1 0) into 1 13.341 * [backup-simplify]: Simplify (sqrt 1) into 1 13.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.343 * [backup-simplify]: Simplify (+ 0 0) into 0 13.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.344 * [taylor]: Taking taylor expansion of x in x 13.344 * [backup-simplify]: Simplify 0 into 0 13.344 * [backup-simplify]: Simplify 1 into 1 13.344 * [backup-simplify]: Simplify (* 1 1) into 1 13.344 * [backup-simplify]: Simplify (/ 1 1) into 1 13.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.344 * [taylor]: Taking taylor expansion of 2 in x 13.344 * [backup-simplify]: Simplify 2 into 2 13.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.345 * [taylor]: Taking taylor expansion of y in x 13.345 * [backup-simplify]: Simplify y into y 13.345 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.345 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.345 * [backup-simplify]: Simplify (+ 1 0) into 1 13.346 * [backup-simplify]: Simplify (sqrt 1) into 1 13.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.347 * [backup-simplify]: Simplify (+ 0 0) into 0 13.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.348 * [taylor]: Taking taylor expansion of y in x 13.348 * [backup-simplify]: Simplify y into y 13.348 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.348 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.349 * [backup-simplify]: Simplify (* 1 1) into 1 13.349 * [backup-simplify]: Simplify (+ 1 0) into 1 13.349 * [taylor]: Taking taylor expansion of 1 in y 13.349 * [backup-simplify]: Simplify 1 into 1 13.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.350 * [backup-simplify]: Simplify (+ 0 0) into 0 13.350 * [taylor]: Taking taylor expansion of 0 in y 13.350 * [backup-simplify]: Simplify 0 into 0 13.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.352 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.353 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 13.354 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.356 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.356 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 13.357 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.358 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 13.358 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 13.358 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 13.358 * [taylor]: Taking taylor expansion of 3 in y 13.359 * [backup-simplify]: Simplify 3 into 3 13.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.359 * [taylor]: Taking taylor expansion of y in y 13.359 * [backup-simplify]: Simplify 0 into 0 13.359 * [backup-simplify]: Simplify 1 into 1 13.359 * [backup-simplify]: Simplify (* 1 1) into 1 13.359 * [backup-simplify]: Simplify (/ 1 1) into 1 13.360 * [backup-simplify]: Simplify (* 3 1) into 3 13.360 * [backup-simplify]: Simplify 3 into 3 13.360 * [backup-simplify]: Simplify 1 into 1 13.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.362 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.363 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.363 * [backup-simplify]: Simplify (+ 0 0) into 0 13.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.366 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.367 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.367 * [backup-simplify]: Simplify (+ 0 0) into 0 13.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 13.369 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.370 * [backup-simplify]: Simplify (+ 0 0) into 0 13.370 * [taylor]: Taking taylor expansion of 0 in y 13.370 * [backup-simplify]: Simplify 0 into 0 13.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.373 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [backup-simplify]: Simplify 0 into 0 13.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.376 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.378 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 13.378 * [backup-simplify]: Simplify (+ 0 0) into 0 13.379 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 13.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.382 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.383 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 13.383 * [backup-simplify]: Simplify (+ 0 0) into 0 13.385 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 13.386 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y 4))) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* (/ -1/2 (pow y 4)) 1))))) into 0 13.387 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.387 * [backup-simplify]: Simplify (+ 0 0) into 0 13.387 * [taylor]: Taking taylor expansion of 0 in y 13.387 * [backup-simplify]: Simplify 0 into 0 13.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.390 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 13.390 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 13.392 * [backup-simplify]: Simplify (fma (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) 13.392 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 13.392 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 13.392 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 13.392 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 13.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 13.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 13.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.392 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.392 * [taylor]: Taking taylor expansion of x in y 13.392 * [backup-simplify]: Simplify x into x 13.392 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.393 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.393 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.393 * [taylor]: Taking taylor expansion of 2 in y 13.393 * [backup-simplify]: Simplify 2 into 2 13.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.393 * [taylor]: Taking taylor expansion of y in y 13.393 * [backup-simplify]: Simplify 0 into 0 13.393 * [backup-simplify]: Simplify 1 into 1 13.393 * [backup-simplify]: Simplify (* 1 1) into 1 13.394 * [backup-simplify]: Simplify (/ 1 1) into 1 13.394 * [backup-simplify]: Simplify (* 2 1) into 2 13.394 * [backup-simplify]: Simplify (+ 0 2) into 2 13.395 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.397 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.397 * [backup-simplify]: Simplify (+ 0 0) into 0 13.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 13.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 13.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.398 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.398 * [taylor]: Taking taylor expansion of x in y 13.398 * [backup-simplify]: Simplify x into x 13.398 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.398 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.398 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.398 * [taylor]: Taking taylor expansion of 2 in y 13.398 * [backup-simplify]: Simplify 2 into 2 13.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.398 * [taylor]: Taking taylor expansion of y in y 13.398 * [backup-simplify]: Simplify 0 into 0 13.398 * [backup-simplify]: Simplify 1 into 1 13.399 * [backup-simplify]: Simplify (* 1 1) into 1 13.399 * [backup-simplify]: Simplify (/ 1 1) into 1 13.399 * [backup-simplify]: Simplify (* 2 1) into 2 13.400 * [backup-simplify]: Simplify (+ 0 2) into 2 13.400 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 13.401 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.402 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.402 * [backup-simplify]: Simplify (+ 0 0) into 0 13.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 13.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.403 * [taylor]: Taking taylor expansion of y in y 13.403 * [backup-simplify]: Simplify 0 into 0 13.403 * [backup-simplify]: Simplify 1 into 1 13.404 * [backup-simplify]: Simplify (* 1 1) into 1 13.404 * [backup-simplify]: Simplify (/ 1 1) into 1 13.404 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 13.404 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 13.404 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 13.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.404 * [taylor]: Taking taylor expansion of x in x 13.404 * [backup-simplify]: Simplify 0 into 0 13.404 * [backup-simplify]: Simplify 1 into 1 13.405 * [backup-simplify]: Simplify (* 1 1) into 1 13.405 * [backup-simplify]: Simplify (/ 1 1) into 1 13.405 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.405 * [taylor]: Taking taylor expansion of 2 in x 13.405 * [backup-simplify]: Simplify 2 into 2 13.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.405 * [taylor]: Taking taylor expansion of y in x 13.405 * [backup-simplify]: Simplify y into y 13.405 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.405 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.406 * [backup-simplify]: Simplify (+ 1 0) into 1 13.406 * [backup-simplify]: Simplify (sqrt 1) into 1 13.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.408 * [backup-simplify]: Simplify (+ 0 0) into 0 13.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.408 * [taylor]: Taking taylor expansion of x in x 13.408 * [backup-simplify]: Simplify 0 into 0 13.409 * [backup-simplify]: Simplify 1 into 1 13.409 * [backup-simplify]: Simplify (* 1 1) into 1 13.409 * [backup-simplify]: Simplify (/ 1 1) into 1 13.409 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.409 * [taylor]: Taking taylor expansion of 2 in x 13.409 * [backup-simplify]: Simplify 2 into 2 13.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.409 * [taylor]: Taking taylor expansion of y in x 13.409 * [backup-simplify]: Simplify y into y 13.409 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.410 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.410 * [backup-simplify]: Simplify (+ 1 0) into 1 13.410 * [backup-simplify]: Simplify (sqrt 1) into 1 13.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.412 * [backup-simplify]: Simplify (+ 0 0) into 0 13.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.413 * [taylor]: Taking taylor expansion of y in x 13.413 * [backup-simplify]: Simplify y into y 13.413 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.413 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.413 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 13.413 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 13.413 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 13.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.413 * [taylor]: Taking taylor expansion of x in x 13.413 * [backup-simplify]: Simplify 0 into 0 13.413 * [backup-simplify]: Simplify 1 into 1 13.414 * [backup-simplify]: Simplify (* 1 1) into 1 13.414 * [backup-simplify]: Simplify (/ 1 1) into 1 13.414 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.414 * [taylor]: Taking taylor expansion of 2 in x 13.414 * [backup-simplify]: Simplify 2 into 2 13.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.414 * [taylor]: Taking taylor expansion of y in x 13.414 * [backup-simplify]: Simplify y into y 13.414 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.414 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.415 * [backup-simplify]: Simplify (+ 1 0) into 1 13.415 * [backup-simplify]: Simplify (sqrt 1) into 1 13.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.417 * [backup-simplify]: Simplify (+ 0 0) into 0 13.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.417 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 13.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.417 * [taylor]: Taking taylor expansion of x in x 13.417 * [backup-simplify]: Simplify 0 into 0 13.417 * [backup-simplify]: Simplify 1 into 1 13.418 * [backup-simplify]: Simplify (* 1 1) into 1 13.418 * [backup-simplify]: Simplify (/ 1 1) into 1 13.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.418 * [taylor]: Taking taylor expansion of 2 in x 13.418 * [backup-simplify]: Simplify 2 into 2 13.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.418 * [taylor]: Taking taylor expansion of y in x 13.418 * [backup-simplify]: Simplify y into y 13.418 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.418 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.419 * [backup-simplify]: Simplify (+ 1 0) into 1 13.419 * [backup-simplify]: Simplify (sqrt 1) into 1 13.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.421 * [backup-simplify]: Simplify (+ 0 0) into 0 13.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.421 * [taylor]: Taking taylor expansion of y in x 13.422 * [backup-simplify]: Simplify y into y 13.422 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.422 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.422 * [backup-simplify]: Simplify (* 1 1) into 1 13.422 * [backup-simplify]: Simplify (+ 1 0) into 1 13.423 * [taylor]: Taking taylor expansion of 1 in y 13.423 * [backup-simplify]: Simplify 1 into 1 13.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.423 * [backup-simplify]: Simplify (+ 0 0) into 0 13.423 * [taylor]: Taking taylor expansion of 0 in y 13.423 * [backup-simplify]: Simplify 0 into 0 13.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.425 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.425 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 13.427 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.428 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.428 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 13.430 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 13.430 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 13.431 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 13.431 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 13.431 * [taylor]: Taking taylor expansion of 3 in y 13.431 * [backup-simplify]: Simplify 3 into 3 13.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.431 * [taylor]: Taking taylor expansion of y in y 13.431 * [backup-simplify]: Simplify 0 into 0 13.431 * [backup-simplify]: Simplify 1 into 1 13.431 * [backup-simplify]: Simplify (* 1 1) into 1 13.432 * [backup-simplify]: Simplify (/ 1 1) into 1 13.432 * [backup-simplify]: Simplify (* 3 1) into 3 13.432 * [backup-simplify]: Simplify 3 into 3 13.432 * [backup-simplify]: Simplify 1 into 1 13.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.434 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.435 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.435 * [backup-simplify]: Simplify (+ 0 0) into 0 13.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.437 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.438 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.439 * [backup-simplify]: Simplify (+ 0 0) into 0 13.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 13.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 13.440 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.441 * [backup-simplify]: Simplify (+ 0 0) into 0 13.441 * [taylor]: Taking taylor expansion of 0 in y 13.441 * [backup-simplify]: Simplify 0 into 0 13.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.443 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 13.443 * [backup-simplify]: Simplify 0 into 0 13.443 * [backup-simplify]: Simplify 0 into 0 13.443 * [backup-simplify]: Simplify 0 into 0 13.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.445 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.446 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 13.447 * [backup-simplify]: Simplify (+ 0 0) into 0 13.448 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 13.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.450 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.451 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 13.452 * [backup-simplify]: Simplify (+ 0 0) into 0 13.453 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 13.454 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y 4))) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* (/ -1/2 (pow y 4)) 1))))) into 0 13.455 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.455 * [backup-simplify]: Simplify (+ 0 0) into 0 13.455 * [taylor]: Taking taylor expansion of 0 in y 13.455 * [backup-simplify]: Simplify 0 into 0 13.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.458 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 13.458 * [backup-simplify]: Simplify 0 into 0 13.458 * [backup-simplify]: Simplify 0 into 0 13.458 * [backup-simplify]: Simplify 0 into 0 13.459 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 13.459 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 13.459 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (pow x 2) (* 2 (pow y 2))) 13.459 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 13.459 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 13.459 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.459 * [taylor]: Taking taylor expansion of x in y 13.459 * [backup-simplify]: Simplify x into x 13.459 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 13.459 * [taylor]: Taking taylor expansion of 2 in y 13.459 * [backup-simplify]: Simplify 2 into 2 13.459 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.459 * [taylor]: Taking taylor expansion of y in y 13.459 * [backup-simplify]: Simplify 0 into 0 13.459 * [backup-simplify]: Simplify 1 into 1 13.459 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 13.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.459 * [taylor]: Taking taylor expansion of x in x 13.459 * [backup-simplify]: Simplify 0 into 0 13.459 * [backup-simplify]: Simplify 1 into 1 13.459 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.460 * [taylor]: Taking taylor expansion of 2 in x 13.460 * [backup-simplify]: Simplify 2 into 2 13.460 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.460 * [taylor]: Taking taylor expansion of y in x 13.460 * [backup-simplify]: Simplify y into y 13.460 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 13.460 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.460 * [taylor]: Taking taylor expansion of x in x 13.460 * [backup-simplify]: Simplify 0 into 0 13.460 * [backup-simplify]: Simplify 1 into 1 13.460 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 13.460 * [taylor]: Taking taylor expansion of 2 in x 13.460 * [backup-simplify]: Simplify 2 into 2 13.460 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.460 * [taylor]: Taking taylor expansion of y in x 13.460 * [backup-simplify]: Simplify y into y 13.460 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.460 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 13.460 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 13.460 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 13.460 * [taylor]: Taking taylor expansion of 2 in y 13.460 * [backup-simplify]: Simplify 2 into 2 13.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.460 * [taylor]: Taking taylor expansion of y in y 13.460 * [backup-simplify]: Simplify 0 into 0 13.461 * [backup-simplify]: Simplify 1 into 1 13.461 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.461 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 13.461 * [backup-simplify]: Simplify (+ 0 0) into 0 13.461 * [taylor]: Taking taylor expansion of 0 in y 13.462 * [backup-simplify]: Simplify 0 into 0 13.462 * [backup-simplify]: Simplify 0 into 0 13.462 * [backup-simplify]: Simplify (* 1 1) into 1 13.462 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.463 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 13.463 * [backup-simplify]: Simplify (+ 1 0) into 1 13.464 * [taylor]: Taking taylor expansion of 1 in y 13.464 * [backup-simplify]: Simplify 1 into 1 13.464 * [backup-simplify]: Simplify 1 into 1 13.464 * [backup-simplify]: Simplify 0 into 0 13.464 * [backup-simplify]: Simplify (* 1 1) into 1 13.464 * [backup-simplify]: Simplify (* 2 1) into 2 13.464 * [backup-simplify]: Simplify 2 into 2 13.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.466 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 13.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 13.467 * [backup-simplify]: Simplify (+ 0 0) into 0 13.467 * [taylor]: Taking taylor expansion of 0 in y 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify 0 into 0 13.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.468 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.469 * [backup-simplify]: Simplify 0 into 0 13.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 13.472 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 13.472 * [backup-simplify]: Simplify (+ 0 0) into 0 13.472 * [taylor]: Taking taylor expansion of 0 in y 13.472 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 13.473 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 13.473 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 13.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 13.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.473 * [taylor]: Taking taylor expansion of x in y 13.473 * [backup-simplify]: Simplify x into x 13.473 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.473 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.473 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.473 * [taylor]: Taking taylor expansion of 2 in y 13.473 * [backup-simplify]: Simplify 2 into 2 13.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.473 * [taylor]: Taking taylor expansion of y in y 13.473 * [backup-simplify]: Simplify 0 into 0 13.474 * [backup-simplify]: Simplify 1 into 1 13.474 * [backup-simplify]: Simplify (* 1 1) into 1 13.477 * [backup-simplify]: Simplify (/ 1 1) into 1 13.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.477 * [taylor]: Taking taylor expansion of x in x 13.477 * [backup-simplify]: Simplify 0 into 0 13.477 * [backup-simplify]: Simplify 1 into 1 13.478 * [backup-simplify]: Simplify (* 1 1) into 1 13.478 * [backup-simplify]: Simplify (/ 1 1) into 1 13.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.478 * [taylor]: Taking taylor expansion of 2 in x 13.478 * [backup-simplify]: Simplify 2 into 2 13.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.478 * [taylor]: Taking taylor expansion of y in x 13.478 * [backup-simplify]: Simplify y into y 13.478 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.478 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.478 * [taylor]: Taking taylor expansion of x in x 13.478 * [backup-simplify]: Simplify 0 into 0 13.478 * [backup-simplify]: Simplify 1 into 1 13.479 * [backup-simplify]: Simplify (* 1 1) into 1 13.479 * [backup-simplify]: Simplify (/ 1 1) into 1 13.479 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.479 * [taylor]: Taking taylor expansion of 2 in x 13.479 * [backup-simplify]: Simplify 2 into 2 13.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.479 * [taylor]: Taking taylor expansion of y in x 13.479 * [backup-simplify]: Simplify y into y 13.479 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.480 * [backup-simplify]: Simplify (+ 1 0) into 1 13.480 * [taylor]: Taking taylor expansion of 1 in y 13.480 * [backup-simplify]: Simplify 1 into 1 13.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.482 * [backup-simplify]: Simplify (+ 0 0) into 0 13.482 * [taylor]: Taking taylor expansion of 0 in y 13.482 * [backup-simplify]: Simplify 0 into 0 13.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.483 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.484 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 13.484 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.484 * [taylor]: Taking taylor expansion of 2 in y 13.484 * [backup-simplify]: Simplify 2 into 2 13.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.484 * [taylor]: Taking taylor expansion of y in y 13.484 * [backup-simplify]: Simplify 0 into 0 13.484 * [backup-simplify]: Simplify 1 into 1 13.484 * [backup-simplify]: Simplify (* 1 1) into 1 13.484 * [backup-simplify]: Simplify (/ 1 1) into 1 13.485 * [backup-simplify]: Simplify (* 2 1) into 2 13.485 * [backup-simplify]: Simplify 2 into 2 13.485 * [backup-simplify]: Simplify 1 into 1 13.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.487 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.488 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.488 * [backup-simplify]: Simplify (+ 0 0) into 0 13.488 * [taylor]: Taking taylor expansion of 0 in y 13.488 * [backup-simplify]: Simplify 0 into 0 13.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.490 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.490 * [backup-simplify]: Simplify 0 into 0 13.490 * [backup-simplify]: Simplify 0 into 0 13.490 * [backup-simplify]: Simplify 0 into 0 13.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.493 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.494 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 13.494 * [backup-simplify]: Simplify (+ 0 0) into 0 13.494 * [taylor]: Taking taylor expansion of 0 in y 13.494 * [backup-simplify]: Simplify 0 into 0 13.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.497 * [backup-simplify]: Simplify 0 into 0 13.497 * [backup-simplify]: Simplify 0 into 0 13.497 * [backup-simplify]: Simplify 0 into 0 13.497 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 13.498 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 13.498 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 13.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 13.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 13.498 * [taylor]: Taking taylor expansion of (pow x 2) in y 13.498 * [taylor]: Taking taylor expansion of x in y 13.498 * [backup-simplify]: Simplify x into x 13.498 * [backup-simplify]: Simplify (* x x) into (pow x 2) 13.498 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 13.498 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.498 * [taylor]: Taking taylor expansion of 2 in y 13.498 * [backup-simplify]: Simplify 2 into 2 13.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.498 * [taylor]: Taking taylor expansion of y in y 13.498 * [backup-simplify]: Simplify 0 into 0 13.498 * [backup-simplify]: Simplify 1 into 1 13.499 * [backup-simplify]: Simplify (* 1 1) into 1 13.499 * [backup-simplify]: Simplify (/ 1 1) into 1 13.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.499 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.499 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.499 * [taylor]: Taking taylor expansion of x in x 13.499 * [backup-simplify]: Simplify 0 into 0 13.499 * [backup-simplify]: Simplify 1 into 1 13.499 * [backup-simplify]: Simplify (* 1 1) into 1 13.500 * [backup-simplify]: Simplify (/ 1 1) into 1 13.500 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.500 * [taylor]: Taking taylor expansion of 2 in x 13.500 * [backup-simplify]: Simplify 2 into 2 13.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.500 * [taylor]: Taking taylor expansion of y in x 13.500 * [backup-simplify]: Simplify y into y 13.500 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.500 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 13.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 13.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 13.500 * [taylor]: Taking taylor expansion of x in x 13.500 * [backup-simplify]: Simplify 0 into 0 13.500 * [backup-simplify]: Simplify 1 into 1 13.501 * [backup-simplify]: Simplify (* 1 1) into 1 13.501 * [backup-simplify]: Simplify (/ 1 1) into 1 13.501 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 13.501 * [taylor]: Taking taylor expansion of 2 in x 13.501 * [backup-simplify]: Simplify 2 into 2 13.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 13.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 13.501 * [taylor]: Taking taylor expansion of y in x 13.501 * [backup-simplify]: Simplify y into y 13.501 * [backup-simplify]: Simplify (* y y) into (pow y 2) 13.501 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 13.501 * [backup-simplify]: Simplify (+ 1 0) into 1 13.501 * [taylor]: Taking taylor expansion of 1 in y 13.502 * [backup-simplify]: Simplify 1 into 1 13.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.503 * [backup-simplify]: Simplify (+ 0 0) into 0 13.503 * [taylor]: Taking taylor expansion of 0 in y 13.503 * [backup-simplify]: Simplify 0 into 0 13.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.504 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 13.504 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 13.504 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 13.504 * [taylor]: Taking taylor expansion of 2 in y 13.504 * [backup-simplify]: Simplify 2 into 2 13.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 13.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 13.504 * [taylor]: Taking taylor expansion of y in y 13.504 * [backup-simplify]: Simplify 0 into 0 13.504 * [backup-simplify]: Simplify 1 into 1 13.504 * [backup-simplify]: Simplify (* 1 1) into 1 13.504 * [backup-simplify]: Simplify (/ 1 1) into 1 13.505 * [backup-simplify]: Simplify (* 2 1) into 2 13.505 * [backup-simplify]: Simplify 2 into 2 13.505 * [backup-simplify]: Simplify 1 into 1 13.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.507 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 13.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 13.507 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 13.508 * [backup-simplify]: Simplify (+ 0 0) into 0 13.508 * [taylor]: Taking taylor expansion of 0 in y 13.508 * [backup-simplify]: Simplify 0 into 0 13.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.510 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 13.510 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify 0 into 0 13.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.512 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 13.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 13.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 13.514 * [backup-simplify]: Simplify (+ 0 0) into 0 13.514 * [taylor]: Taking taylor expansion of 0 in y 13.514 * [backup-simplify]: Simplify 0 into 0 13.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.517 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 13.517 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify 0 into 0 13.518 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 13.518 * * * [progress]: simplifying candidates 13.519 * [simplify]: Simplifying: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (+ (* x x) (* y y)) (* y y))) (log1p (+ (+ (* x x) (* y y)) (* y y))) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 13.522 * * [simplify]: Extracting # 0 : cost 0 13.522 * * [simplify]: Extracting # 1 : cost 0 13.523 * * [simplify]: Extracting # 2 : cost 0 13.523 * * [simplify]: Extracting # 3 : cost 0 13.523 * * [simplify]: Extracting # 4 : cost 0 13.523 * * [simplify]: Extracting # 5 : cost 0 13.523 * * [simplify]: Extracting # 6 : cost 0 13.523 * * [simplify]: iteration 0 : 76 enodes (cost 1364 ) 13.551 * * [simplify]: Extracting # 0 : cost 0 13.552 * * [simplify]: Extracting # 1 : cost 0 13.552 * * [simplify]: Extracting # 2 : cost 0 13.552 * * [simplify]: Extracting # 3 : cost 0 13.552 * * [simplify]: Extracting # 4 : cost 0 13.553 * * [simplify]: iteration 1 : 197 enodes (cost 1032 ) 13.710 * * [simplify]: Extracting # 0 : cost 0 13.716 * * [simplify]: Extracting # 1 : cost 0 13.718 * * [simplify]: Extracting # 2 : cost 0 13.719 * * [simplify]: Extracting # 3 : cost 0 13.721 * * [simplify]: Extracting # 4 : cost 0 13.722 * * [simplify]: Extracting # 5 : cost 0 13.724 * * [simplify]: iteration 2 : 997 enodes (cost 742 ) 14.280 * * [simplify]: Extracting # 0 : cost 0 14.291 * * [simplify]: Extracting # 1 : cost 0 14.298 * * [simplify]: Extracting # 2 : cost 0 14.304 * * [simplify]: Extracting # 3 : cost 0 14.309 * * [simplify]: Extracting # 4 : cost 0 14.318 * * [simplify]: iteration done: 5001 enodes (cost 645 ) 14.318 * [simplify]: Simplified to: (expm1 (hypot (* (sqrt 2) y) x)) (log1p (hypot (* (sqrt 2) y) x)) (log (hypot (* (sqrt 2) y) x)) (exp (hypot (* (sqrt 2) y) x)) (* (cbrt (hypot (* (sqrt 2) y) x)) (cbrt (hypot (* (sqrt 2) y) x))) (cbrt (hypot (* (sqrt 2) y) x)) (pow (hypot (* (sqrt 2) y) x) 3) (fabs (cbrt (fma x x (* 2 (* y y))))) (sqrt (cbrt (fma x x (* 2 (* y y))))) (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) 1 (hypot (* (sqrt 2) y) x) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (fma (* y y) (- (* x x)) (* (fma x x (* y y)) (fma x x (* y y))))) (sqrt (* (* x x) (fma x x (* (+ y y) y)))) (sqrt (* x x)) 1/2 (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) (expm1 (hypot (* (sqrt 2) y) x)) (log1p (hypot (* (sqrt 2) y) x)) (log (hypot (* (sqrt 2) y) x)) (exp (hypot (* (sqrt 2) y) x)) (* (cbrt (hypot (* (sqrt 2) y) x)) (cbrt (hypot (* (sqrt 2) y) x))) (cbrt (hypot (* (sqrt 2) y) x)) (pow (hypot (* (sqrt 2) y) x) 3) (fabs (cbrt (fma x x (* 2 (* y y))))) (sqrt (cbrt (fma x x (* 2 (* y y))))) (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) 1 (hypot (* (sqrt 2) y) x) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (fma (* y y) (- (* x x)) (* (fma x x (* y y)) (fma x x (* y y))))) (sqrt (* (* x x) (fma x x (* (+ y y) y)))) (sqrt (* x x)) 1/2 (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) (expm1 (fma (* y y) 3 (* x x))) (log1p (fma (* y y) 3 (* x x))) (fma x x (* (+ y y) y)) (log (fma (* y y) 3 (* x x))) (exp (fma (* y y) 3 (* x x))) (* (cbrt (fma (* y y) 3 (* x x))) (cbrt (fma (* y y) 3 (* x x)))) (cbrt (fma (* y y) 3 (* x x))) (pow (fma (* y y) 3 (* x x)) 3) (hypot (hypot (* (sqrt 2) y) x) y) (hypot (hypot (* (sqrt 2) y) x) y) (expm1 (fma x x (* 2 (* y y)))) (log1p (fma x x (* 2 (* y y)))) (exp (fma x x (* (+ y y) y))) (exp (fma x x (* (+ y y) y))) (log (fma x x (* (+ y y) y))) (exp (fma x x (* (+ y y) y))) (* (cbrt (fma x x (* 2 (* y y)))) (cbrt (fma x x (* 2 (* y y))))) (cbrt (fma x x (* 2 (* y y)))) (pow (hypot (* (sqrt 2) y) x) 6) (hypot (* (sqrt 2) y) x) (hypot (* (sqrt 2) y) x) (+ (pow y 6) (pow (fma x x (* y y)) 3)) (fma (* y y) (- (* x x)) (* (fma x x (* y y)) (fma x x (* y y)))) (* (fma x x (* (+ y y) y)) (* x x)) (* x x) (* (+ y y) y) (* (sqrt 2) y) x (- x) (* (sqrt 2) y) x (- x) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma x x (* (+ y y) y)) (fma x x (* (+ y y) y)) (fma x x (* (+ y y) y)) 14.319 * * * [progress]: adding candidates to table 14.611 * * [progress]: iteration 4 / 4 14.611 * * * [progress]: picking best candidate 14.628 * * * * [pick]: Picked # 14.629 * * * [progress]: localizing error 14.637 * * * [progress]: generating rewritten candidates 14.637 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 14.649 * * * [progress]: generating series expansions 14.649 * * * * [progress]: [ 1 / 1 ] generating series at (2) 14.650 * [backup-simplify]: Simplify (+ (fma x x (* (+ y y) y)) (* y y)) into (+ (pow y 2) (fma x x (* 2 (pow y 2)))) 14.650 * [approximate]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2 (pow y 2)))) in (x y) around 0 14.650 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2 (pow y 2)))) in y 14.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.650 * [taylor]: Taking taylor expansion of y in y 14.650 * [backup-simplify]: Simplify 0 into 0 14.650 * [backup-simplify]: Simplify 1 into 1 14.650 * [taylor]: Taking taylor expansion of (fma x x (* 2 (pow y 2))) in y 14.650 * [taylor]: Rewrote expression to (+ (* x x) (* 2 (pow y 2))) 14.650 * [taylor]: Taking taylor expansion of (* x x) in y 14.650 * [taylor]: Taking taylor expansion of x in y 14.650 * [backup-simplify]: Simplify x into x 14.650 * [taylor]: Taking taylor expansion of x in y 14.650 * [backup-simplify]: Simplify x into x 14.650 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 14.650 * [taylor]: Taking taylor expansion of 2 in y 14.650 * [backup-simplify]: Simplify 2 into 2 14.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.650 * [taylor]: Taking taylor expansion of y in y 14.650 * [backup-simplify]: Simplify 0 into 0 14.650 * [backup-simplify]: Simplify 1 into 1 14.650 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2 (pow y 2)))) in x 14.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.650 * [taylor]: Taking taylor expansion of y in x 14.650 * [backup-simplify]: Simplify y into y 14.650 * [taylor]: Taking taylor expansion of (fma x x (* 2 (pow y 2))) in x 14.650 * [taylor]: Rewrote expression to (+ (* x x) (* 2 (pow y 2))) 14.650 * [taylor]: Taking taylor expansion of (* x x) in x 14.650 * [taylor]: Taking taylor expansion of x in x 14.650 * [backup-simplify]: Simplify 0 into 0 14.650 * [backup-simplify]: Simplify 1 into 1 14.650 * [taylor]: Taking taylor expansion of x in x 14.650 * [backup-simplify]: Simplify 0 into 0 14.650 * [backup-simplify]: Simplify 1 into 1 14.650 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 14.650 * [taylor]: Taking taylor expansion of 2 in x 14.650 * [backup-simplify]: Simplify 2 into 2 14.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.650 * [taylor]: Taking taylor expansion of y in x 14.650 * [backup-simplify]: Simplify y into y 14.650 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2 (pow y 2)))) in x 14.650 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.650 * [taylor]: Taking taylor expansion of y in x 14.650 * [backup-simplify]: Simplify y into y 14.651 * [taylor]: Taking taylor expansion of (fma x x (* 2 (pow y 2))) in x 14.651 * [taylor]: Rewrote expression to (+ (* x x) (* 2 (pow y 2))) 14.651 * [taylor]: Taking taylor expansion of (* x x) in x 14.651 * [taylor]: Taking taylor expansion of x in x 14.651 * [backup-simplify]: Simplify 0 into 0 14.651 * [backup-simplify]: Simplify 1 into 1 14.651 * [taylor]: Taking taylor expansion of x in x 14.651 * [backup-simplify]: Simplify 0 into 0 14.651 * [backup-simplify]: Simplify 1 into 1 14.651 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 14.651 * [taylor]: Taking taylor expansion of 2 in x 14.651 * [backup-simplify]: Simplify 2 into 2 14.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.651 * [taylor]: Taking taylor expansion of y in x 14.651 * [backup-simplify]: Simplify y into y 14.651 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.651 * [backup-simplify]: Simplify (* 0 0) into 0 14.652 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.652 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 14.652 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 14.652 * [backup-simplify]: Simplify (+ (pow y 2) (* 2 (pow y 2))) into (* 3 (pow y 2)) 14.652 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 14.652 * [taylor]: Taking taylor expansion of 3 in y 14.652 * [backup-simplify]: Simplify 3 into 3 14.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.652 * [taylor]: Taking taylor expansion of y in y 14.652 * [backup-simplify]: Simplify 0 into 0 14.652 * [backup-simplify]: Simplify 1 into 1 14.652 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 14.653 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.653 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 14.653 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 14.654 * [backup-simplify]: Simplify (+ 0 0) into 0 14.654 * [backup-simplify]: Simplify (+ 0 0) into 0 14.654 * [taylor]: Taking taylor expansion of 0 in y 14.654 * [backup-simplify]: Simplify 0 into 0 14.654 * [backup-simplify]: Simplify 0 into 0 14.654 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 14.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 14.656 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 14.656 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 14.657 * [backup-simplify]: Simplify (+ 1 0) into 1 14.657 * [backup-simplify]: Simplify (+ 0 1) into 1 14.657 * [taylor]: Taking taylor expansion of 1 in y 14.657 * [backup-simplify]: Simplify 1 into 1 14.657 * [backup-simplify]: Simplify 1 into 1 14.657 * [backup-simplify]: Simplify 0 into 0 14.657 * [backup-simplify]: Simplify (* 1 1) into 1 14.658 * [backup-simplify]: Simplify (* 3 1) into 3 14.658 * [backup-simplify]: Simplify 3 into 3 14.658 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 14.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 14.660 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 14.660 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 14.661 * [backup-simplify]: Simplify (+ 0 0) into 0 14.661 * [backup-simplify]: Simplify (+ 0 0) into 0 14.661 * [taylor]: Taking taylor expansion of 0 in y 14.661 * [backup-simplify]: Simplify 0 into 0 14.661 * [backup-simplify]: Simplify 0 into 0 14.661 * [backup-simplify]: Simplify 0 into 0 14.661 * [backup-simplify]: Simplify 0 into 0 14.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.662 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 14.662 * [backup-simplify]: Simplify 0 into 0 14.663 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 14.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.664 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 14.665 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 14.665 * [backup-simplify]: Simplify (+ 0 0) into 0 14.666 * [backup-simplify]: Simplify (+ 0 0) into 0 14.666 * [taylor]: Taking taylor expansion of 0 in y 14.666 * [backup-simplify]: Simplify 0 into 0 14.666 * [backup-simplify]: Simplify 0 into 0 14.666 * [backup-simplify]: Simplify 0 into 0 14.666 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 14.666 * [backup-simplify]: Simplify (+ (fma (/ 1 x) (/ 1 x) (* (+ (/ 1 y) (/ 1 y)) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (fma (/ 1 x) (/ 1 x) (/ 2 (pow y 2))) (/ 1 (pow y 2))) 14.666 * [approximate]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 2 (pow y 2))) (/ 1 (pow y 2))) in (x y) around 0 14.666 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 2 (pow y 2))) (/ 1 (pow y 2))) in y 14.666 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2 (pow y 2))) in y 14.666 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2 (pow y 2))) 14.666 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 14.666 * [taylor]: Taking taylor expansion of (/ 1 x) in y 14.666 * [taylor]: Taking taylor expansion of x in y 14.666 * [backup-simplify]: Simplify x into x 14.666 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 14.666 * [taylor]: Taking taylor expansion of (/ 1 x) in y 14.666 * [taylor]: Taking taylor expansion of x in y 14.666 * [backup-simplify]: Simplify x into x 14.667 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 14.667 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 14.667 * [taylor]: Taking taylor expansion of 2 in y 14.667 * [backup-simplify]: Simplify 2 into 2 14.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.667 * [taylor]: Taking taylor expansion of y in y 14.667 * [backup-simplify]: Simplify 0 into 0 14.667 * [backup-simplify]: Simplify 1 into 1 14.667 * [backup-simplify]: Simplify (* 1 1) into 1 14.667 * [backup-simplify]: Simplify (/ 2 1) into 2 14.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 14.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.667 * [taylor]: Taking taylor expansion of y in y 14.667 * [backup-simplify]: Simplify 0 into 0 14.667 * [backup-simplify]: Simplify 1 into 1 14.667 * [backup-simplify]: Simplify (* 1 1) into 1 14.668 * [backup-simplify]: Simplify (/ 1 1) into 1 14.668 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 2 (pow y 2))) (/ 1 (pow y 2))) in x 14.668 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2 (pow y 2))) in x 14.668 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2 (pow y 2))) 14.668 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.668 * [taylor]: Taking taylor expansion of x in x 14.668 * [backup-simplify]: Simplify 0 into 0 14.668 * [backup-simplify]: Simplify 1 into 1 14.668 * [backup-simplify]: Simplify (/ 1 1) into 1 14.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.668 * [taylor]: Taking taylor expansion of x in x 14.668 * [backup-simplify]: Simplify 0 into 0 14.668 * [backup-simplify]: Simplify 1 into 1 14.668 * [backup-simplify]: Simplify (/ 1 1) into 1 14.669 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in x 14.669 * [taylor]: Taking taylor expansion of 2 in x 14.669 * [backup-simplify]: Simplify 2 into 2 14.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.669 * [taylor]: Taking taylor expansion of y in x 14.669 * [backup-simplify]: Simplify y into y 14.669 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.669 * [backup-simplify]: Simplify (/ 2 (pow y 2)) into (/ 2 (pow y 2)) 14.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 14.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.669 * [taylor]: Taking taylor expansion of y in x 14.669 * [backup-simplify]: Simplify y into y 14.669 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.669 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 14.669 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 2 (pow y 2))) (/ 1 (pow y 2))) in x 14.669 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2 (pow y 2))) in x 14.669 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2 (pow y 2))) 14.669 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 14.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.669 * [taylor]: Taking taylor expansion of x in x 14.669 * [backup-simplify]: Simplify 0 into 0 14.669 * [backup-simplify]: Simplify 1 into 1 14.669 * [backup-simplify]: Simplify (/ 1 1) into 1 14.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.669 * [taylor]: Taking taylor expansion of x in x 14.669 * [backup-simplify]: Simplify 0 into 0 14.669 * [backup-simplify]: Simplify 1 into 1 14.670 * [backup-simplify]: Simplify (/ 1 1) into 1 14.670 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in x 14.670 * [taylor]: Taking taylor expansion of 2 in x 14.670 * [backup-simplify]: Simplify 2 into 2 14.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.670 * [taylor]: Taking taylor expansion of y in x 14.670 * [backup-simplify]: Simplify y into y 14.670 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.670 * [backup-simplify]: Simplify (/ 2 (pow y 2)) into (/ 2 (pow y 2)) 14.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 14.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.670 * [taylor]: Taking taylor expansion of y in x 14.670 * [backup-simplify]: Simplify y into y 14.670 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.670 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 14.670 * [backup-simplify]: Simplify (* 1 1) into 1 14.671 * [backup-simplify]: Simplify (+ 1 0) into 1 14.671 * [backup-simplify]: Simplify (+ 1 0) into 1 14.671 * [taylor]: Taking taylor expansion of 1 in y 14.671 * [backup-simplify]: Simplify 1 into 1 14.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.672 * [backup-simplify]: Simplify (+ 0 0) into 0 14.673 * [backup-simplify]: Simplify (+ 0 0) into 0 14.673 * [taylor]: Taking taylor expansion of 0 in y 14.673 * [backup-simplify]: Simplify 0 into 0 14.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.675 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 14.675 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 14.675 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 14.675 * [taylor]: Taking taylor expansion of 3 in y 14.675 * [backup-simplify]: Simplify 3 into 3 14.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 14.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.675 * [taylor]: Taking taylor expansion of y in y 14.675 * [backup-simplify]: Simplify 0 into 0 14.675 * [backup-simplify]: Simplify 1 into 1 14.675 * [backup-simplify]: Simplify (* 1 1) into 1 14.675 * [backup-simplify]: Simplify (/ 1 1) into 1 14.676 * [backup-simplify]: Simplify (* 3 1) into 3 14.676 * [backup-simplify]: Simplify 3 into 3 14.676 * [backup-simplify]: Simplify 1 into 1 14.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.677 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 14.678 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 2 (pow y 2)) (/ 0 (pow y 2))))) into 0 14.678 * [backup-simplify]: Simplify (+ 0 0) into 0 14.678 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 14.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 14.678 * [backup-simplify]: Simplify (+ 0 0) into 0 14.678 * [taylor]: Taking taylor expansion of 0 in y 14.678 * [backup-simplify]: Simplify 0 into 0 14.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.680 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 14.680 * [backup-simplify]: Simplify 0 into 0 14.680 * [backup-simplify]: Simplify 0 into 0 14.680 * [backup-simplify]: Simplify 0 into 0 14.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.682 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 14.682 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 2 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 14.682 * [backup-simplify]: Simplify (+ 0 0) into 0 14.683 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 14.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 14.683 * [backup-simplify]: Simplify (+ 0 0) into 0 14.683 * [taylor]: Taking taylor expansion of 0 in y 14.683 * [backup-simplify]: Simplify 0 into 0 14.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.685 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 14.685 * [backup-simplify]: Simplify 0 into 0 14.685 * [backup-simplify]: Simplify 0 into 0 14.685 * [backup-simplify]: Simplify 0 into 0 14.685 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 14.685 * [backup-simplify]: Simplify (+ (fma (/ 1 (- x)) (/ 1 (- x)) (* (+ (/ 1 (- y)) (/ 1 (- y))) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (fma (/ -1 x) (/ -1 x) (/ 2 (pow y 2))) (/ 1 (pow y 2))) 14.686 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2 (pow y 2))) (/ 1 (pow y 2))) in (x y) around 0 14.686 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2 (pow y 2))) (/ 1 (pow y 2))) in y 14.686 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2 (pow y 2))) in y 14.686 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2 (pow y 2))) 14.686 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 14.686 * [taylor]: Taking taylor expansion of (/ -1 x) in y 14.686 * [taylor]: Taking taylor expansion of -1 in y 14.686 * [backup-simplify]: Simplify -1 into -1 14.686 * [taylor]: Taking taylor expansion of x in y 14.686 * [backup-simplify]: Simplify x into x 14.686 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 14.686 * [taylor]: Taking taylor expansion of (/ -1 x) in y 14.686 * [taylor]: Taking taylor expansion of -1 in y 14.686 * [backup-simplify]: Simplify -1 into -1 14.686 * [taylor]: Taking taylor expansion of x in y 14.686 * [backup-simplify]: Simplify x into x 14.686 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 14.686 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in y 14.686 * [taylor]: Taking taylor expansion of 2 in y 14.686 * [backup-simplify]: Simplify 2 into 2 14.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.686 * [taylor]: Taking taylor expansion of y in y 14.686 * [backup-simplify]: Simplify 0 into 0 14.686 * [backup-simplify]: Simplify 1 into 1 14.686 * [backup-simplify]: Simplify (* 1 1) into 1 14.687 * [backup-simplify]: Simplify (/ 2 1) into 2 14.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 14.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.687 * [taylor]: Taking taylor expansion of y in y 14.687 * [backup-simplify]: Simplify 0 into 0 14.687 * [backup-simplify]: Simplify 1 into 1 14.687 * [backup-simplify]: Simplify (* 1 1) into 1 14.687 * [backup-simplify]: Simplify (/ 1 1) into 1 14.687 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2 (pow y 2))) (/ 1 (pow y 2))) in x 14.687 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2 (pow y 2))) in x 14.687 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2 (pow y 2))) 14.687 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.687 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.687 * [taylor]: Taking taylor expansion of -1 in x 14.687 * [backup-simplify]: Simplify -1 into -1 14.687 * [taylor]: Taking taylor expansion of x in x 14.687 * [backup-simplify]: Simplify 0 into 0 14.687 * [backup-simplify]: Simplify 1 into 1 14.688 * [backup-simplify]: Simplify (/ -1 1) into -1 14.688 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.688 * [taylor]: Taking taylor expansion of -1 in x 14.688 * [backup-simplify]: Simplify -1 into -1 14.688 * [taylor]: Taking taylor expansion of x in x 14.688 * [backup-simplify]: Simplify 0 into 0 14.688 * [backup-simplify]: Simplify 1 into 1 14.688 * [backup-simplify]: Simplify (/ -1 1) into -1 14.688 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in x 14.688 * [taylor]: Taking taylor expansion of 2 in x 14.688 * [backup-simplify]: Simplify 2 into 2 14.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.688 * [taylor]: Taking taylor expansion of y in x 14.688 * [backup-simplify]: Simplify y into y 14.688 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.688 * [backup-simplify]: Simplify (/ 2 (pow y 2)) into (/ 2 (pow y 2)) 14.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 14.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.688 * [taylor]: Taking taylor expansion of y in x 14.688 * [backup-simplify]: Simplify y into y 14.688 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.688 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 14.688 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2 (pow y 2))) (/ 1 (pow y 2))) in x 14.688 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2 (pow y 2))) in x 14.689 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2 (pow y 2))) 14.689 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 14.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.689 * [taylor]: Taking taylor expansion of -1 in x 14.689 * [backup-simplify]: Simplify -1 into -1 14.689 * [taylor]: Taking taylor expansion of x in x 14.689 * [backup-simplify]: Simplify 0 into 0 14.689 * [backup-simplify]: Simplify 1 into 1 14.689 * [backup-simplify]: Simplify (/ -1 1) into -1 14.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.689 * [taylor]: Taking taylor expansion of -1 in x 14.689 * [backup-simplify]: Simplify -1 into -1 14.689 * [taylor]: Taking taylor expansion of x in x 14.689 * [backup-simplify]: Simplify 0 into 0 14.689 * [backup-simplify]: Simplify 1 into 1 14.689 * [backup-simplify]: Simplify (/ -1 1) into -1 14.689 * [taylor]: Taking taylor expansion of (/ 2 (pow y 2)) in x 14.689 * [taylor]: Taking taylor expansion of 2 in x 14.689 * [backup-simplify]: Simplify 2 into 2 14.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.689 * [taylor]: Taking taylor expansion of y in x 14.689 * [backup-simplify]: Simplify y into y 14.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.690 * [backup-simplify]: Simplify (/ 2 (pow y 2)) into (/ 2 (pow y 2)) 14.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 14.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.690 * [taylor]: Taking taylor expansion of y in x 14.690 * [backup-simplify]: Simplify y into y 14.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 14.690 * [backup-simplify]: Simplify (* -1 -1) into 1 14.690 * [backup-simplify]: Simplify (+ 1 0) into 1 14.691 * [backup-simplify]: Simplify (+ 1 0) into 1 14.691 * [taylor]: Taking taylor expansion of 1 in y 14.691 * [backup-simplify]: Simplify 1 into 1 14.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.692 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.692 * [backup-simplify]: Simplify (+ 0 0) into 0 14.693 * [backup-simplify]: Simplify (+ 0 0) into 0 14.693 * [taylor]: Taking taylor expansion of 0 in y 14.693 * [backup-simplify]: Simplify 0 into 0 14.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.694 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 14.694 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 14.695 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 14.695 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 14.695 * [taylor]: Taking taylor expansion of 3 in y 14.695 * [backup-simplify]: Simplify 3 into 3 14.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 14.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.695 * [taylor]: Taking taylor expansion of y in y 14.695 * [backup-simplify]: Simplify 0 into 0 14.695 * [backup-simplify]: Simplify 1 into 1 14.695 * [backup-simplify]: Simplify (* 1 1) into 1 14.695 * [backup-simplify]: Simplify (/ 1 1) into 1 14.696 * [backup-simplify]: Simplify (* 3 1) into 3 14.696 * [backup-simplify]: Simplify 3 into 3 14.696 * [backup-simplify]: Simplify 1 into 1 14.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.697 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 14.698 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 14.698 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 2 (pow y 2)) (/ 0 (pow y 2))))) into 0 14.698 * [backup-simplify]: Simplify (+ 0 0) into 0 14.698 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 14.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 14.699 * [backup-simplify]: Simplify (+ 0 0) into 0 14.699 * [taylor]: Taking taylor expansion of 0 in y 14.699 * [backup-simplify]: Simplify 0 into 0 14.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.700 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 14.700 * [backup-simplify]: Simplify 0 into 0 14.700 * [backup-simplify]: Simplify 0 into 0 14.700 * [backup-simplify]: Simplify 0 into 0 14.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.702 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 14.702 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 14.702 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 2 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 14.703 * [backup-simplify]: Simplify (+ 0 0) into 0 14.703 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 14.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 14.704 * [backup-simplify]: Simplify (+ 0 0) into 0 14.704 * [taylor]: Taking taylor expansion of 0 in y 14.704 * [backup-simplify]: Simplify 0 into 0 14.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.705 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 14.705 * [backup-simplify]: Simplify 0 into 0 14.705 * [backup-simplify]: Simplify 0 into 0 14.705 * [backup-simplify]: Simplify 0 into 0 14.706 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 14.706 * * * [progress]: simplifying candidates 14.706 * [simplify]: Simplifying: (expm1 (+ (fma x x (* (+ y y) y)) (* y y))) (log1p (+ (fma x x (* (+ y y) y)) (* y y))) (* (exp (fma x x (* (+ y y) y))) (exp (* y y))) (log (+ (fma x x (* (+ y y) y)) (* y y))) (exp (+ (fma x x (* (+ y y) y)) (* y y))) (* (cbrt (+ (fma x x (* (+ y y) y)) (* y y))) (cbrt (+ (fma x x (* (+ y y) y)) (* y y)))) (cbrt (+ (fma x x (* (+ y y) y)) (* y y))) (* (* (+ (fma x x (* (+ y y) y)) (* y y)) (+ (fma x x (* (+ y y) y)) (* y y))) (+ (fma x x (* (+ y y) y)) (* y y))) (sqrt (+ (fma x x (* (+ y y) y)) (* y y))) (sqrt (+ (fma x x (* (+ y y) y)) (* y y))) (+ (pow (fma x x (* (+ y y) y)) 3) (pow (* y y) 3)) (+ (* (fma x x (* (+ y y) y)) (fma x x (* (+ y y) y))) (- (* (* y y) (* y y)) (* (fma x x (* (+ y y) y)) (* y y)))) (- (* (fma x x (* (+ y y) y)) (fma x x (* (+ y y) y))) (* (* y y) (* y y))) (- (fma x x (* (+ y y) y)) (* y y)) (+ (* (+ y y) y) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 14.707 * * [simplify]: Extracting # 0 : cost 0 14.707 * * [simplify]: Extracting # 1 : cost 0 14.707 * * [simplify]: Extracting # 2 : cost 0 14.707 * * [simplify]: Extracting # 3 : cost 0 14.707 * * [simplify]: Extracting # 4 : cost 0 14.707 * * [simplify]: Extracting # 5 : cost 0 14.707 * * [simplify]: Extracting # 6 : cost 0 14.707 * * [simplify]: iteration 0 : 36 enodes (cost 297 ) 14.715 * * [simplify]: Extracting # 0 : cost 0 14.715 * * [simplify]: Extracting # 1 : cost 0 14.716 * * [simplify]: Extracting # 2 : cost 0 14.716 * * [simplify]: Extracting # 3 : cost 0 14.716 * * [simplify]: Extracting # 4 : cost 0 14.716 * * [simplify]: iteration 1 : 114 enodes (cost 289 ) 14.780 * * [simplify]: Extracting # 0 : cost 0 14.781 * * [simplify]: Extracting # 1 : cost 0 14.783 * * [simplify]: Extracting # 2 : cost 0 14.784 * * [simplify]: Extracting # 3 : cost 0 14.785 * * [simplify]: Extracting # 4 : cost 0 14.786 * * [simplify]: iteration 2 : 556 enodes (cost 210 ) 16.173 * * [simplify]: Extracting # 0 : cost 0 16.180 * * [simplify]: Extracting # 1 : cost 0 16.186 * * [simplify]: Extracting # 2 : cost 0 16.195 * * [simplify]: Extracting # 3 : cost 0 16.201 * * [simplify]: Extracting # 4 : cost 0 16.207 * * [simplify]: iteration 3 : 4830 enodes (cost 196 ) 18.987 * * [simplify]: Extracting # 0 : cost 0 18.998 * * [simplify]: Extracting # 1 : cost 0 19.004 * * [simplify]: iteration done: 5000 enodes (cost 196 ) 19.004 * [simplify]: Simplified to: (expm1 (fma (* y y) 3 (pow x 2))) (log1p (fma (* y y) 3 (pow x 2))) (exp (fma (* y y) 3 (pow x 2))) (log (fma (* y y) 3 (pow x 2))) (exp (fma (* y y) 3 (pow x 2))) (* (cbrt (fma (* y y) 3 (pow x 2))) (cbrt (fma (* y y) 3 (pow x 2)))) (cbrt (fma (* y y) 3 (pow x 2))) (pow (fma (* y y) 3 (pow x 2)) 3) (sqrt (fma (* y y) 3 (pow x 2))) (sqrt (fma (* y y) 3 (pow x 2))) (+ (pow y 6) (pow (fma x x (* (+ y y) y)) 3)) (+ (pow y 4) (* (fma x x (* (+ y y) y)) (fma x x (* y (- (+ y y) y))))) (* (fma x x (* y (- (+ y y) y))) (fma (* y y) 3 (pow x 2))) (fma x x (* y (- (+ y y) y))) (* 3 (pow y 2)) (fma (* y y) 3 (pow x 2)) (fma (* y y) 3 (pow x 2)) (fma (* y y) 3 (pow x 2)) 19.004 * * * [progress]: adding candidates to table 19.055 * [progress]: [Phase 3 of 3] Extracting. 19.055 * * [regime]: Finding splitpoints for: (# # # # # #) 19.057 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 19.057 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 19.082 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 19.105 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 19.133 * * * * [regimes]: Trying to branch on (* x x) from (# #) 19.145 * * * * [regimes]: Trying to branch on y from (# # # # # #) 19.185 * * * * [regimes]: Trying to branch on x from (# # # # # #) 19.225 * * * [regime]: Found split indices: #