37.942 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: Extracting # 1 : cost 0 0.041 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: Extracting # 3 : cost 0 0.041 * * [simplify]: Extracting # 4 : cost 0 0.041 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: Extracting # 1 : cost 0 0.042 * * [simplify]: Extracting # 2 : cost 0 0.042 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.047 * * [simplify]: Extracting # 1 : cost 0 0.047 * * [simplify]: Extracting # 2 : cost 0 0.047 * * [simplify]: iteration 2 : 27 enodes (cost 7 ) 0.054 * * [simplify]: Extracting # 0 : cost 0 0.054 * * [simplify]: Extracting # 1 : cost 0 0.054 * * [simplify]: Extracting # 2 : cost 0 0.054 * * [simplify]: iteration 3 : 65 enodes (cost 7 ) 0.067 * * [simplify]: Extracting # 0 : cost 0 0.067 * * [simplify]: Extracting # 1 : cost 0 0.067 * * [simplify]: Extracting # 2 : cost 0 0.068 * * [simplify]: Extracting # 3 : cost 0 0.068 * * [simplify]: iteration 4 : 150 enodes (cost 7 ) 0.116 * * [simplify]: Extracting # 0 : cost 0 0.116 * * [simplify]: Extracting # 1 : cost 0 0.116 * * [simplify]: Extracting # 2 : cost 0 0.116 * * [simplify]: iteration 5 : 273 enodes (cost 7 ) 0.153 * * [simplify]: Extracting # 0 : cost 0 0.153 * * [simplify]: Extracting # 1 : cost 0 0.153 * * [simplify]: iteration 6 : 323 enodes (cost 7 ) 0.183 * * [simplify]: Extracting # 0 : cost 0 0.183 * * [simplify]: Extracting # 1 : cost 0 0.184 * * [simplify]: Extracting # 2 : cost 0 0.184 * * [simplify]: iteration 7 : 340 enodes (cost 7 ) 0.212 * * [simplify]: Extracting # 0 : cost 0 0.212 * * [simplify]: iteration 8 : 342 enodes (cost 7 ) 0.243 * * [simplify]: Extracting # 0 : cost 0 0.243 * * [simplify]: iteration done: 342 enodes (cost 7 ) 0.243 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.244 * * [progress]: iteration 1 / 4 0.244 * * * [progress]: picking best candidate 0.246 * * * * [pick]: Picked # 0.246 * * * [progress]: localizing error 0.252 * * * [progress]: generating rewritten candidates 0.252 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.301 * * * [progress]: generating series expansions 0.301 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.301 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.301 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.301 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.301 * [taylor]: Taking taylor expansion of (+ x y) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [backup-simplify]: Simplify x into x 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (+ x 0) into x 0.301 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.302 * [taylor]: Taking taylor expansion of (+ x y) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [backup-simplify]: Simplify (+ 0 y) into y 0.302 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.302 * [taylor]: Taking taylor expansion of (+ x y) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [backup-simplify]: Simplify (+ 0 y) into y 0.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (+ 1 0) into 1 0.308 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.308 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.308 * [taylor]: Taking taylor expansion of 2 in y 0.308 * [backup-simplify]: Simplify 2 into 2 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 2 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.310 * [taylor]: Taking taylor expansion of 1 in y 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.311 * [backup-simplify]: Simplify 2 into 2 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.312 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.312 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.312 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [backup-simplify]: Simplify x into x 0.313 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.314 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [backup-simplify]: Simplify y into y 0.314 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify (+ 0 1) into 1 0.315 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [backup-simplify]: Simplify y into y 0.315 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (+ 0 1) into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [taylor]: Taking taylor expansion of 1 in y 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.318 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.318 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.318 * [taylor]: Taking taylor expansion of 2 in y 0.318 * [backup-simplify]: Simplify 2 into 2 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (* 2 1) into 2 0.323 * [backup-simplify]: Simplify 2 into 2 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.324 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.324 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.324 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [backup-simplify]: Simplify x into x 0.325 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.326 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [backup-simplify]: Simplify y into y 0.326 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (+ 0 1) into 1 0.327 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [backup-simplify]: Simplify y into y 0.327 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [backup-simplify]: Simplify (+ 0 1) into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of 1 in y 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.330 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.330 * [taylor]: Taking taylor expansion of 2 in y 0.330 * [backup-simplify]: Simplify 2 into 2 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* 2 1) into 2 0.334 * [backup-simplify]: Simplify 2 into 2 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.335 * * * [progress]: simplifying candidates 0.337 * [simplify]: Simplifying: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.338 * * [simplify]: Extracting # 0 : cost 0 0.338 * * [simplify]: Extracting # 1 : cost 0 0.338 * * [simplify]: Extracting # 2 : cost 0 0.338 * * [simplify]: Extracting # 3 : cost 0 0.339 * * [simplify]: Extracting # 4 : cost 0 0.339 * * [simplify]: Extracting # 5 : cost 0 0.339 * * [simplify]: Extracting # 6 : cost 0 0.339 * * [simplify]: iteration 0 : 64 enodes (cost 532 ) 0.367 * * [simplify]: Extracting # 0 : cost 0 0.367 * * [simplify]: Extracting # 1 : cost 0 0.367 * * [simplify]: Extracting # 2 : cost 0 0.368 * * [simplify]: Extracting # 3 : cost 0 0.368 * * [simplify]: Extracting # 4 : cost 0 0.369 * * [simplify]: iteration 1 : 232 enodes (cost 465 ) 0.612 * * [simplify]: Extracting # 0 : cost 0 0.615 * * [simplify]: Extracting # 1 : cost 0 0.617 * * [simplify]: Extracting # 2 : cost 0 0.624 * * [simplify]: Extracting # 3 : cost 0 0.626 * * [simplify]: Extracting # 4 : cost 0 0.629 * * [simplify]: iteration 2 : 1742 enodes (cost 416 ) 1.650 * * [simplify]: Extracting # 0 : cost 0 1.672 * * [simplify]: Extracting # 1 : cost 0 1.680 * * [simplify]: Extracting # 2 : cost 0 1.689 * * [simplify]: Extracting # 3 : cost 0 1.700 * * [simplify]: Extracting # 4 : cost 0 1.709 * * [simplify]: iteration done: 5002 enodes (cost 406 ) 1.709 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (fma x x (* y (- y x))) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (fma x x (* y (- y x))) (- x y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (cbrt (+ x y)) (+ x y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (* (cbrt (+ x y)) (+ x y)) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (fma x x (* y (fma x 2 y))) (fma x x (* y (fma x 2 y))) (fma x x (* y (fma x 2 y))) 1.710 * * * [progress]: adding candidates to table 1.804 * * [progress]: iteration 2 / 4 1.805 * * * [progress]: picking best candidate 1.809 * * * * [pick]: Picked # 1.810 * * * [progress]: localizing error 1.829 * * * [progress]: generating rewritten candidates 1.829 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.868 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.898 * * * [progress]: generating series expansions 1.898 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.898 * [backup-simplify]: Simplify (* y (+ x y)) into (* y (+ x y)) 1.898 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 1.898 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 1.898 * [taylor]: Taking taylor expansion of y in x 1.898 * [backup-simplify]: Simplify y into y 1.898 * [taylor]: Taking taylor expansion of (+ x y) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [taylor]: Taking taylor expansion of y in x 1.898 * [backup-simplify]: Simplify y into y 1.898 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 1.898 * [taylor]: Taking taylor expansion of y in y 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [taylor]: Taking taylor expansion of (+ x y) in y 1.898 * [taylor]: Taking taylor expansion of x in y 1.899 * [backup-simplify]: Simplify x into x 1.899 * [taylor]: Taking taylor expansion of y in y 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 1.899 * [taylor]: Taking taylor expansion of y in y 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [taylor]: Taking taylor expansion of (+ x y) in y 1.899 * [taylor]: Taking taylor expansion of x in y 1.899 * [backup-simplify]: Simplify x into x 1.899 * [taylor]: Taking taylor expansion of y in y 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (+ x 0) into x 1.899 * [backup-simplify]: Simplify (* 0 x) into 0 1.899 * [taylor]: Taking taylor expansion of 0 in x 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (+ 0 1) into 1 1.901 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 x)) into x 1.901 * [taylor]: Taking taylor expansion of x in x 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 x))) into 1 1.903 * [taylor]: Taking taylor expansion of 1 in x 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 x)))) into 0 1.905 * [taylor]: Taking taylor expansion of 0 in x 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 x))))) into 0 1.908 * [taylor]: Taking taylor expansion of 0 in x 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify (+ (* 1 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* x y)) 1.908 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 1.908 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 1.908 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 1.908 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.909 * [taylor]: Taking taylor expansion of y in x 1.909 * [backup-simplify]: Simplify y into y 1.909 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (/ 1 1) into 1 1.909 * [taylor]: Taking taylor expansion of y in x 1.910 * [backup-simplify]: Simplify y into y 1.910 * [backup-simplify]: Simplify (+ 0 1) into 1 1.910 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.910 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 1.910 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.910 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.910 * [taylor]: Taking taylor expansion of y in y 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (/ 1 1) into 1 1.911 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.911 * [taylor]: Taking taylor expansion of x in y 1.911 * [backup-simplify]: Simplify x into x 1.911 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.911 * [taylor]: Taking taylor expansion of y in y 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (+ 1 0) into 1 1.912 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 1.912 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.912 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.912 * [taylor]: Taking taylor expansion of y in y 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (/ 1 1) into 1 1.913 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.913 * [taylor]: Taking taylor expansion of x in y 1.913 * [backup-simplify]: Simplify x into x 1.913 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.913 * [taylor]: Taking taylor expansion of y in y 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (+ 1 0) into 1 1.914 * [backup-simplify]: Simplify (/ 1 1) into 1 1.914 * [taylor]: Taking taylor expansion of 1 in x 1.914 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 1.916 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 1.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.916 * [taylor]: Taking taylor expansion of x in x 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (/ 1 1) into 1 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 1.920 * [taylor]: Taking taylor expansion of 0 in x 1.920 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.923 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.925 * [taylor]: Taking taylor expansion of 0 in x 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [taylor]: Taking taylor expansion of 0 in x 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* x y)) 1.932 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) y) 1.932 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 1.932 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.932 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.932 * [taylor]: Taking taylor expansion of y in x 1.932 * [backup-simplify]: Simplify y into y 1.932 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [taylor]: Taking taylor expansion of y in x 1.933 * [backup-simplify]: Simplify y into y 1.934 * [backup-simplify]: Simplify (+ 0 1) into 1 1.934 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.934 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 1.934 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.934 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.934 * [taylor]: Taking taylor expansion of y in y 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.935 * [taylor]: Taking taylor expansion of x in y 1.935 * [backup-simplify]: Simplify x into x 1.935 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.935 * [taylor]: Taking taylor expansion of y in y 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (+ 1 0) into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.936 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.936 * [taylor]: Taking taylor expansion of y in y 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.936 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.936 * [taylor]: Taking taylor expansion of x in y 1.936 * [backup-simplify]: Simplify x into x 1.937 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.937 * [taylor]: Taking taylor expansion of y in y 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (+ 1 0) into 1 1.937 * [backup-simplify]: Simplify (/ 1 1) into 1 1.938 * [taylor]: Taking taylor expansion of 1 in x 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 1.939 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 1.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (/ 1 1) into 1 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 1.950 * [taylor]: Taking taylor expansion of 0 in x 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.955 * [taylor]: Taking taylor expansion of 0 in x 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.960 * [taylor]: Taking taylor expansion of 0 in x 1.960 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* x y)) 1.961 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.961 * [backup-simplify]: Simplify (+ (* x (+ x y)) (* y (+ x y))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.962 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 1.962 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 1.962 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.962 * [taylor]: Taking taylor expansion of x in y 1.962 * [backup-simplify]: Simplify x into x 1.962 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 1.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.962 * [taylor]: Taking taylor expansion of y in y 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.962 * [taylor]: Taking taylor expansion of 2 in y 1.962 * [backup-simplify]: Simplify 2 into 2 1.962 * [taylor]: Taking taylor expansion of (* x y) in y 1.962 * [taylor]: Taking taylor expansion of x in y 1.962 * [backup-simplify]: Simplify x into x 1.962 * [taylor]: Taking taylor expansion of y in y 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 1.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 1.962 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.962 * [taylor]: Taking taylor expansion of y in x 1.962 * [backup-simplify]: Simplify y into y 1.962 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.962 * [taylor]: Taking taylor expansion of 2 in x 1.962 * [backup-simplify]: Simplify 2 into 2 1.962 * [taylor]: Taking taylor expansion of (* x y) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.962 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of y in x 1.963 * [backup-simplify]: Simplify y into y 1.963 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 1.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 1.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.963 * [taylor]: Taking taylor expansion of y in x 1.963 * [backup-simplify]: Simplify y into y 1.963 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.963 * [taylor]: Taking taylor expansion of 2 in x 1.963 * [backup-simplify]: Simplify 2 into 2 1.963 * [taylor]: Taking taylor expansion of (* x y) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of y in x 1.963 * [backup-simplify]: Simplify y into y 1.963 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.963 * [backup-simplify]: Simplify (* 0 y) into 0 1.964 * [backup-simplify]: Simplify (* 2 0) into 0 1.964 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.964 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.964 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.964 * [taylor]: Taking taylor expansion of y in y 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.965 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.966 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 1.966 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.966 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.966 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.966 * [taylor]: Taking taylor expansion of 2 in y 1.966 * [backup-simplify]: Simplify 2 into 2 1.966 * [taylor]: Taking taylor expansion of y in y 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (* 2 0) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (* 1 1) into 1 1.968 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.969 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify (+ 1 0) into 1 1.970 * [taylor]: Taking taylor expansion of 1 in y 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.971 * [backup-simplify]: Simplify 2 into 2 1.972 * [backup-simplify]: Simplify (* 1 1) into 1 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.973 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) (* (/ 1 y) (+ (/ 1 x) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 1.973 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.973 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.973 * [taylor]: Taking taylor expansion of x in y 1.973 * [backup-simplify]: Simplify x into x 1.973 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.973 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.973 * [taylor]: Taking taylor expansion of y in y 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (* 1 1) into 1 1.974 * [backup-simplify]: Simplify (/ 1 1) into 1 1.974 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.975 * [taylor]: Taking taylor expansion of 2 in y 1.975 * [backup-simplify]: Simplify 2 into 2 1.975 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.975 * [taylor]: Taking taylor expansion of (* x y) in y 1.975 * [taylor]: Taking taylor expansion of x in y 1.975 * [backup-simplify]: Simplify x into x 1.975 * [taylor]: Taking taylor expansion of y in y 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (* x 0) into 0 1.975 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.975 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (* 1 1) into 1 1.976 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.977 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.977 * [taylor]: Taking taylor expansion of y in x 1.977 * [backup-simplify]: Simplify y into y 1.977 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.977 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.977 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.977 * [taylor]: Taking taylor expansion of 2 in x 1.977 * [backup-simplify]: Simplify 2 into 2 1.977 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.977 * [taylor]: Taking taylor expansion of (* x y) in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [taylor]: Taking taylor expansion of y in x 1.977 * [backup-simplify]: Simplify y into y 1.977 * [backup-simplify]: Simplify (* 0 y) into 0 1.978 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.978 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (* 1 1) into 1 1.979 * [backup-simplify]: Simplify (/ 1 1) into 1 1.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.979 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.979 * [taylor]: Taking taylor expansion of y in x 1.979 * [backup-simplify]: Simplify y into y 1.979 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.979 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.980 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.980 * [taylor]: Taking taylor expansion of 2 in x 1.980 * [backup-simplify]: Simplify 2 into 2 1.980 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.980 * [taylor]: Taking taylor expansion of (* x y) in x 1.980 * [taylor]: Taking taylor expansion of x in x 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [taylor]: Taking taylor expansion of y in x 1.980 * [backup-simplify]: Simplify y into y 1.980 * [backup-simplify]: Simplify (* 0 y) into 0 1.980 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.980 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.981 * [backup-simplify]: Simplify (+ 1 0) into 1 1.981 * [taylor]: Taking taylor expansion of 1 in y 1.981 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.983 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.983 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 1.983 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.983 * [taylor]: Taking taylor expansion of 2 in y 1.983 * [backup-simplify]: Simplify 2 into 2 1.983 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.983 * [taylor]: Taking taylor expansion of y in y 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (/ 1 1) into 1 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.988 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.988 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.988 * [taylor]: Taking taylor expansion of y in y 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify (* 1 1) into 1 1.989 * [backup-simplify]: Simplify (/ 1 1) into 1 1.989 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (* 2 1) into 2 1.990 * [backup-simplify]: Simplify 2 into 2 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.991 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 1.991 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.991 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.991 * [taylor]: Taking taylor expansion of x in y 1.991 * [backup-simplify]: Simplify x into x 1.991 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.991 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.991 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.991 * [taylor]: Taking taylor expansion of y in y 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (* 1 1) into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.992 * [taylor]: Taking taylor expansion of 2 in y 1.992 * [backup-simplify]: Simplify 2 into 2 1.992 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.992 * [taylor]: Taking taylor expansion of (* x y) in y 1.992 * [taylor]: Taking taylor expansion of x in y 1.992 * [backup-simplify]: Simplify x into x 1.992 * [taylor]: Taking taylor expansion of y in y 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (* x 0) into 0 1.992 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.992 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (* 1 1) into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.993 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.993 * [taylor]: Taking taylor expansion of y in x 1.993 * [backup-simplify]: Simplify y into y 1.993 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.994 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.994 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.994 * [taylor]: Taking taylor expansion of 2 in x 1.994 * [backup-simplify]: Simplify 2 into 2 1.994 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.994 * [taylor]: Taking taylor expansion of (* x y) in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [taylor]: Taking taylor expansion of y in x 1.994 * [backup-simplify]: Simplify y into y 1.994 * [backup-simplify]: Simplify (* 0 y) into 0 1.994 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.994 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (* 1 1) into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.996 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.996 * [taylor]: Taking taylor expansion of y in x 1.996 * [backup-simplify]: Simplify y into y 1.996 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.996 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.996 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.996 * [taylor]: Taking taylor expansion of 2 in x 1.996 * [backup-simplify]: Simplify 2 into 2 1.996 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.996 * [taylor]: Taking taylor expansion of (* x y) in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [taylor]: Taking taylor expansion of y in x 1.996 * [backup-simplify]: Simplify y into y 1.996 * [backup-simplify]: Simplify (* 0 y) into 0 1.997 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.997 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.998 * [backup-simplify]: Simplify (+ 1 0) into 1 1.998 * [taylor]: Taking taylor expansion of 1 in y 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.999 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.000 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.000 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.000 * [taylor]: Taking taylor expansion of 2 in y 2.000 * [backup-simplify]: Simplify 2 into 2 2.000 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.000 * [taylor]: Taking taylor expansion of y in y 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.004 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.005 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.005 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.005 * [taylor]: Taking taylor expansion of y in y 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (/ 1 1) into 1 2.006 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (* 2 1) into 2 2.007 * [backup-simplify]: Simplify 2 into 2 2.007 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.008 * * * [progress]: simplifying candidates 2.009 * [simplify]: Simplifying: (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* y (+ x y)) (+ (log y) (log (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (* (* y y) y) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (* (* (* y (+ x y)) (* y (+ x y))) (* y (+ x y))) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (expm1 (+ (* x (+ x y)) (* y (+ x y)))) (log1p (+ (* x (+ x y)) (* y (+ x y)))) (* (exp (* x (+ x y))) (exp (* y (+ x y)))) (log (+ (* x (+ x y)) (* y (+ x y)))) (exp (+ (* x (+ x y)) (* y (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (* (* (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y)))) (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (* x (+ x y)) (* y (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (* x (+ x y)) (* y (+ x y))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x (+ x y)) (* x y)) (+ (* x y) (* y (+ x y))) (+ (* y x) (* y (+ x y))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.011 * * [simplify]: Extracting # 0 : cost 0 2.011 * * [simplify]: Extracting # 1 : cost 0 2.011 * * [simplify]: Extracting # 2 : cost 0 2.012 * * [simplify]: Extracting # 3 : cost 0 2.012 * * [simplify]: Extracting # 4 : cost 0 2.012 * * [simplify]: Extracting # 5 : cost 0 2.012 * * [simplify]: Extracting # 6 : cost 0 2.013 * * [simplify]: iteration 0 : 97 enodes (cost 725 ) 2.055 * * [simplify]: Extracting # 0 : cost 0 2.056 * * [simplify]: Extracting # 1 : cost 0 2.056 * * [simplify]: Extracting # 2 : cost 0 2.057 * * [simplify]: Extracting # 3 : cost 0 2.057 * * [simplify]: Extracting # 4 : cost 0 2.058 * * [simplify]: Extracting # 5 : cost 0 2.058 * * [simplify]: iteration 1 : 350 enodes (cost 602 ) 2.469 * * [simplify]: Extracting # 0 : cost 0 2.473 * * [simplify]: Extracting # 1 : cost 0 2.478 * * [simplify]: Extracting # 2 : cost 0 2.483 * * [simplify]: Extracting # 3 : cost 0 2.488 * * [simplify]: Extracting # 4 : cost 0 2.493 * * [simplify]: iteration 2 : 2269 enodes (cost 546 ) 4.554 * * [simplify]: Extracting # 0 : cost 0 4.561 * * [simplify]: Extracting # 1 : cost 0 4.569 * * [simplify]: Extracting # 2 : cost 0 4.577 * * [simplify]: Extracting # 3 : cost 0 4.585 * * [simplify]: Extracting # 4 : cost 0 4.599 * * [simplify]: iteration done: 5000 enodes (cost 539 ) 4.599 * [simplify]: Simplified to: (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* y (+ x y)) (log (* y (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (pow (* y (+ x y)) 3) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (pow (* y (+ x y)) 3) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) y y (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (* (+ x y) (+ x y)) 3) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (fma x x (* y (- y x))) (fma y (+ (pow x 3) (pow y 3)) (fma (pow y 3) x (pow x 4)))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))) (fma (* (fma x x (* y (- y x))) y) (- (* x x) (* y y)) (* (- x y) (fma (pow y 3) x (pow x 4)))) (* (fma x x (* y (- y x))) (- x y)) (fma (* x (- (* x x) (* y y))) (fma x x (* y (- y x))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (fma x x (* y (- y x))) (- x y)) (* (- x y) (fma (* y (+ x y)) (- x y) (* x (- (* x x) (* y y))))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (fma (* y (+ x y)) (* (+ x y) (- y x)) (* (* x (+ x y)) (* x (+ x y)))) (* (* (+ x y) (+ x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y)) (+ x y) (* x (+ (+ x y) y)) (* x (+ (+ x y) y)) (* y (+ x (+ x y))) (* y (+ x (+ x y))) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (fma y (fma 2 x y) (* x x)) (fma y (fma 2 x y) (* x x)) (fma y (fma 2 x y) (* x x)) 4.600 * * * [progress]: adding candidates to table 4.811 * * [progress]: iteration 3 / 4 4.811 * * * [progress]: picking best candidate 4.814 * * * * [pick]: Picked # 4.814 * * * [progress]: localizing error 4.829 * * * [progress]: generating rewritten candidates 4.829 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 4.843 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.889 * * * [progress]: generating series expansions 4.889 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 4.889 * [backup-simplify]: Simplify (+ (* y x) (* y y)) into (+ (pow y 2) (* x y)) 4.889 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* x y)) in (y x) around 0 4.889 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in x 4.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.889 * [taylor]: Taking taylor expansion of y in x 4.889 * [backup-simplify]: Simplify y into y 4.889 * [taylor]: Taking taylor expansion of (* x y) in x 4.889 * [taylor]: Taking taylor expansion of x in x 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 1 into 1 4.889 * [taylor]: Taking taylor expansion of y in x 4.889 * [backup-simplify]: Simplify y into y 4.890 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in y 4.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.890 * [taylor]: Taking taylor expansion of y in y 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 1 into 1 4.890 * [taylor]: Taking taylor expansion of (* x y) in y 4.890 * [taylor]: Taking taylor expansion of x in y 4.890 * [backup-simplify]: Simplify x into x 4.890 * [taylor]: Taking taylor expansion of y in y 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 1 into 1 4.890 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* x y)) in y 4.890 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.890 * [taylor]: Taking taylor expansion of y in y 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 1 into 1 4.890 * [taylor]: Taking taylor expansion of (* x y) in y 4.890 * [taylor]: Taking taylor expansion of x in y 4.890 * [backup-simplify]: Simplify x into x 4.890 * [taylor]: Taking taylor expansion of y in y 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 1 into 1 4.890 * [backup-simplify]: Simplify (* x 0) into 0 4.891 * [backup-simplify]: Simplify (+ 0 0) into 0 4.891 * [taylor]: Taking taylor expansion of 0 in x 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.891 * [backup-simplify]: Simplify (+ 0 x) into x 4.891 * [taylor]: Taking taylor expansion of x in x 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify (* 1 1) into 1 4.892 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 4.892 * [backup-simplify]: Simplify (+ 1 0) into 1 4.892 * [taylor]: Taking taylor expansion of 1 in x 4.893 * [backup-simplify]: Simplify 1 into 1 4.893 * [backup-simplify]: Simplify 1 into 1 4.893 * [backup-simplify]: Simplify 1 into 1 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.894 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.894 * [backup-simplify]: Simplify (+ 0 0) into 0 4.894 * [taylor]: Taking taylor expansion of 0 in x 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.895 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.896 * [backup-simplify]: Simplify (+ 0 0) into 0 4.896 * [taylor]: Taking taylor expansion of 0 in x 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify (+ (* 1 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* x y)) 4.896 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (* x y))) 4.896 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in (y x) around 0 4.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 4.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.896 * [taylor]: Taking taylor expansion of y in x 4.896 * [backup-simplify]: Simplify y into y 4.896 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.897 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.897 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.897 * [taylor]: Taking taylor expansion of (* x y) in x 4.897 * [taylor]: Taking taylor expansion of x in x 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [taylor]: Taking taylor expansion of y in x 4.897 * [backup-simplify]: Simplify y into y 4.897 * [backup-simplify]: Simplify (* 0 y) into 0 4.897 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.897 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 4.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.897 * [taylor]: Taking taylor expansion of y in y 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (* 1 1) into 1 4.898 * [backup-simplify]: Simplify (/ 1 1) into 1 4.898 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.898 * [taylor]: Taking taylor expansion of (* x y) in y 4.898 * [taylor]: Taking taylor expansion of x in y 4.898 * [backup-simplify]: Simplify x into x 4.898 * [taylor]: Taking taylor expansion of y in y 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (* x 0) into 0 4.898 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.899 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 4.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.899 * [taylor]: Taking taylor expansion of y in y 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.899 * [backup-simplify]: Simplify (* 1 1) into 1 4.899 * [backup-simplify]: Simplify (/ 1 1) into 1 4.899 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.899 * [taylor]: Taking taylor expansion of (* x y) in y 4.899 * [taylor]: Taking taylor expansion of x in y 4.899 * [backup-simplify]: Simplify x into x 4.899 * [taylor]: Taking taylor expansion of y in y 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.899 * [backup-simplify]: Simplify (* x 0) into 0 4.900 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.900 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.900 * [backup-simplify]: Simplify (+ 1 0) into 1 4.900 * [taylor]: Taking taylor expansion of 1 in x 4.900 * [backup-simplify]: Simplify 1 into 1 4.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.901 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 4.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.901 * [taylor]: Taking taylor expansion of x in x 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (/ 1 1) into 1 4.902 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.903 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 4.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.904 * [backup-simplify]: Simplify (+ 0 0) into 0 4.904 * [taylor]: Taking taylor expansion of 0 in x 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify 0 into 0 4.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.907 * [backup-simplify]: Simplify (+ 0 0) into 0 4.907 * [taylor]: Taking taylor expansion of 0 in x 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.907 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.910 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.910 * [backup-simplify]: Simplify (+ 0 0) into 0 4.910 * [taylor]: Taking taylor expansion of 0 in x 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* x y)) 4.911 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (* x y))) 4.911 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in (y x) around 0 4.911 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in x 4.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.911 * [taylor]: Taking taylor expansion of y in x 4.911 * [backup-simplify]: Simplify y into y 4.911 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.911 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.911 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.911 * [taylor]: Taking taylor expansion of (* x y) in x 4.911 * [taylor]: Taking taylor expansion of x in x 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [taylor]: Taking taylor expansion of y in x 4.911 * [backup-simplify]: Simplify y into y 4.911 * [backup-simplify]: Simplify (* 0 y) into 0 4.912 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.912 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 4.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.912 * [taylor]: Taking taylor expansion of y in y 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [backup-simplify]: Simplify (* 1 1) into 1 4.913 * [backup-simplify]: Simplify (/ 1 1) into 1 4.913 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.913 * [taylor]: Taking taylor expansion of (* x y) in y 4.913 * [taylor]: Taking taylor expansion of x in y 4.913 * [backup-simplify]: Simplify x into x 4.913 * [taylor]: Taking taylor expansion of y in y 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 1 into 1 4.913 * [backup-simplify]: Simplify (* x 0) into 0 4.913 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.913 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (* x y))) in y 4.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.913 * [taylor]: Taking taylor expansion of y in y 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 1 into 1 4.913 * [backup-simplify]: Simplify (* 1 1) into 1 4.914 * [backup-simplify]: Simplify (/ 1 1) into 1 4.914 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.914 * [taylor]: Taking taylor expansion of (* x y) in y 4.914 * [taylor]: Taking taylor expansion of x in y 4.914 * [backup-simplify]: Simplify x into x 4.914 * [taylor]: Taking taylor expansion of y in y 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 1 into 1 4.914 * [backup-simplify]: Simplify (* x 0) into 0 4.914 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.914 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.915 * [backup-simplify]: Simplify (+ 1 0) into 1 4.915 * [taylor]: Taking taylor expansion of 1 in x 4.915 * [backup-simplify]: Simplify 1 into 1 4.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 4.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.916 * [taylor]: Taking taylor expansion of x in x 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify (/ 1 1) into 1 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify 1 into 1 4.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.918 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 4.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.918 * [backup-simplify]: Simplify (+ 0 0) into 0 4.918 * [taylor]: Taking taylor expansion of 0 in x 4.918 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.921 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.921 * [backup-simplify]: Simplify (+ 0 0) into 0 4.921 * [taylor]: Taking taylor expansion of 0 in x 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.924 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.925 * [backup-simplify]: Simplify (+ 0 0) into 0 4.925 * [taylor]: Taking taylor expansion of 0 in x 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* x y)) 4.925 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.925 * [backup-simplify]: Simplify (+ (* x (+ x y)) (+ (* y x) (* y y))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 4.925 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 4.925 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 4.926 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.926 * [taylor]: Taking taylor expansion of x in y 4.926 * [backup-simplify]: Simplify x into x 4.926 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 4.926 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.926 * [taylor]: Taking taylor expansion of y in y 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 1 into 1 4.926 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.926 * [taylor]: Taking taylor expansion of 2 in y 4.926 * [backup-simplify]: Simplify 2 into 2 4.926 * [taylor]: Taking taylor expansion of (* x y) in y 4.926 * [taylor]: Taking taylor expansion of x in y 4.926 * [backup-simplify]: Simplify x into x 4.926 * [taylor]: Taking taylor expansion of y in y 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 1 into 1 4.926 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 4.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.926 * [taylor]: Taking taylor expansion of x in x 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 1 into 1 4.926 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.926 * [taylor]: Taking taylor expansion of y in x 4.926 * [backup-simplify]: Simplify y into y 4.926 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.926 * [taylor]: Taking taylor expansion of 2 in x 4.926 * [backup-simplify]: Simplify 2 into 2 4.926 * [taylor]: Taking taylor expansion of (* x y) in x 4.926 * [taylor]: Taking taylor expansion of x in x 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 1 into 1 4.926 * [taylor]: Taking taylor expansion of y in x 4.926 * [backup-simplify]: Simplify y into y 4.926 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 4.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.926 * [taylor]: Taking taylor expansion of x in x 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 1 into 1 4.926 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.926 * [taylor]: Taking taylor expansion of y in x 4.926 * [backup-simplify]: Simplify y into y 4.926 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.926 * [taylor]: Taking taylor expansion of 2 in x 4.926 * [backup-simplify]: Simplify 2 into 2 4.926 * [taylor]: Taking taylor expansion of (* x y) in x 4.926 * [taylor]: Taking taylor expansion of x in x 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 1 into 1 4.926 * [taylor]: Taking taylor expansion of y in x 4.926 * [backup-simplify]: Simplify y into y 4.926 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.927 * [backup-simplify]: Simplify (* 0 y) into 0 4.927 * [backup-simplify]: Simplify (* 2 0) into 0 4.927 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.927 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.927 * [taylor]: Taking taylor expansion of y in y 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.928 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 4.928 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 4.929 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 4.929 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.929 * [taylor]: Taking taylor expansion of 2 in y 4.929 * [backup-simplify]: Simplify 2 into 2 4.929 * [taylor]: Taking taylor expansion of y in y 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.929 * [backup-simplify]: Simplify (* 2 0) into 0 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify (* 1 1) into 1 4.930 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.931 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 4.931 * [backup-simplify]: Simplify (+ 0 0) into 0 4.931 * [backup-simplify]: Simplify (+ 1 0) into 1 4.932 * [taylor]: Taking taylor expansion of 1 in y 4.932 * [backup-simplify]: Simplify 1 into 1 4.932 * [backup-simplify]: Simplify 1 into 1 4.932 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.932 * [backup-simplify]: Simplify 2 into 2 4.932 * [backup-simplify]: Simplify (* 1 1) into 1 4.932 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 4.933 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 y) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 4.933 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.933 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 4.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.933 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.933 * [taylor]: Taking taylor expansion of x in y 4.933 * [backup-simplify]: Simplify x into x 4.933 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.934 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.934 * [taylor]: Taking taylor expansion of y in y 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.934 * [backup-simplify]: Simplify (* 1 1) into 1 4.935 * [backup-simplify]: Simplify (/ 1 1) into 1 4.935 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.935 * [taylor]: Taking taylor expansion of 2 in y 4.935 * [backup-simplify]: Simplify 2 into 2 4.935 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.935 * [taylor]: Taking taylor expansion of (* x y) in y 4.935 * [taylor]: Taking taylor expansion of x in y 4.935 * [backup-simplify]: Simplify x into x 4.935 * [taylor]: Taking taylor expansion of y in y 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.935 * [backup-simplify]: Simplify (* x 0) into 0 4.935 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.935 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.935 * [taylor]: Taking taylor expansion of x in x 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (* 1 1) into 1 4.936 * [backup-simplify]: Simplify (/ 1 1) into 1 4.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.936 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.936 * [taylor]: Taking taylor expansion of y in x 4.936 * [backup-simplify]: Simplify y into y 4.936 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.936 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.936 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.936 * [taylor]: Taking taylor expansion of 2 in x 4.936 * [backup-simplify]: Simplify 2 into 2 4.936 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.936 * [taylor]: Taking taylor expansion of (* x y) in x 4.937 * [taylor]: Taking taylor expansion of x in x 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.937 * [taylor]: Taking taylor expansion of y in x 4.937 * [backup-simplify]: Simplify y into y 4.937 * [backup-simplify]: Simplify (* 0 y) into 0 4.937 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.937 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.937 * [taylor]: Taking taylor expansion of x in x 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (* 1 1) into 1 4.938 * [backup-simplify]: Simplify (/ 1 1) into 1 4.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.938 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.938 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.938 * [taylor]: Taking taylor expansion of y in x 4.938 * [backup-simplify]: Simplify y into y 4.938 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.938 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.938 * [taylor]: Taking taylor expansion of 2 in x 4.938 * [backup-simplify]: Simplify 2 into 2 4.938 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.938 * [taylor]: Taking taylor expansion of (* x y) in x 4.938 * [taylor]: Taking taylor expansion of x in x 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify 1 into 1 4.938 * [taylor]: Taking taylor expansion of y in x 4.938 * [backup-simplify]: Simplify y into y 4.938 * [backup-simplify]: Simplify (* 0 y) into 0 4.939 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.939 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.940 * [backup-simplify]: Simplify (+ 1 0) into 1 4.940 * [taylor]: Taking taylor expansion of 1 in y 4.940 * [backup-simplify]: Simplify 1 into 1 4.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.941 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.941 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.941 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 4.941 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.941 * [taylor]: Taking taylor expansion of 2 in y 4.941 * [backup-simplify]: Simplify 2 into 2 4.941 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.941 * [taylor]: Taking taylor expansion of y in y 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (/ 1 1) into 1 4.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.944 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.944 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.945 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.945 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.945 * [taylor]: Taking taylor expansion of y in y 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify 1 into 1 4.945 * [backup-simplify]: Simplify (* 1 1) into 1 4.945 * [backup-simplify]: Simplify (/ 1 1) into 1 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [backup-simplify]: Simplify (* 2 1) into 2 4.946 * [backup-simplify]: Simplify 2 into 2 4.946 * [backup-simplify]: Simplify 1 into 1 4.946 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 4.947 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- y)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 4.947 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 4.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.947 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.947 * [taylor]: Taking taylor expansion of x in y 4.947 * [backup-simplify]: Simplify x into x 4.947 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.947 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.947 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.947 * [taylor]: Taking taylor expansion of y in y 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify 1 into 1 4.948 * [backup-simplify]: Simplify (* 1 1) into 1 4.948 * [backup-simplify]: Simplify (/ 1 1) into 1 4.948 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.948 * [taylor]: Taking taylor expansion of 2 in y 4.948 * [backup-simplify]: Simplify 2 into 2 4.948 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.948 * [taylor]: Taking taylor expansion of (* x y) in y 4.948 * [taylor]: Taking taylor expansion of x in y 4.948 * [backup-simplify]: Simplify x into x 4.948 * [taylor]: Taking taylor expansion of y in y 4.948 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify 1 into 1 4.948 * [backup-simplify]: Simplify (* x 0) into 0 4.949 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.949 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.949 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.949 * [taylor]: Taking taylor expansion of x in x 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 1 into 1 4.949 * [backup-simplify]: Simplify (* 1 1) into 1 4.950 * [backup-simplify]: Simplify (/ 1 1) into 1 4.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.950 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.950 * [taylor]: Taking taylor expansion of y in x 4.950 * [backup-simplify]: Simplify y into y 4.950 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.950 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.950 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.950 * [taylor]: Taking taylor expansion of 2 in x 4.950 * [backup-simplify]: Simplify 2 into 2 4.950 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.950 * [taylor]: Taking taylor expansion of (* x y) in x 4.950 * [taylor]: Taking taylor expansion of x in x 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.950 * [taylor]: Taking taylor expansion of y in x 4.950 * [backup-simplify]: Simplify y into y 4.950 * [backup-simplify]: Simplify (* 0 y) into 0 4.950 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.951 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.951 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.951 * [taylor]: Taking taylor expansion of x in x 4.951 * [backup-simplify]: Simplify 0 into 0 4.951 * [backup-simplify]: Simplify 1 into 1 4.951 * [backup-simplify]: Simplify (* 1 1) into 1 4.951 * [backup-simplify]: Simplify (/ 1 1) into 1 4.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.951 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.951 * [taylor]: Taking taylor expansion of y in x 4.951 * [backup-simplify]: Simplify y into y 4.952 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.952 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.952 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.952 * [taylor]: Taking taylor expansion of 2 in x 4.952 * [backup-simplify]: Simplify 2 into 2 4.952 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.952 * [taylor]: Taking taylor expansion of (* x y) in x 4.952 * [taylor]: Taking taylor expansion of x in x 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 1 into 1 4.952 * [taylor]: Taking taylor expansion of y in x 4.952 * [backup-simplify]: Simplify y into y 4.952 * [backup-simplify]: Simplify (* 0 y) into 0 4.952 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.952 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.953 * [backup-simplify]: Simplify (+ 1 0) into 1 4.953 * [taylor]: Taking taylor expansion of 1 in y 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.954 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.954 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.954 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 4.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.954 * [taylor]: Taking taylor expansion of 2 in y 4.954 * [backup-simplify]: Simplify 2 into 2 4.954 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.954 * [taylor]: Taking taylor expansion of y in y 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 1 into 1 4.955 * [backup-simplify]: Simplify (/ 1 1) into 1 4.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.957 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.957 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.957 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.957 * [taylor]: Taking taylor expansion of y in y 4.957 * [backup-simplify]: Simplify 0 into 0 4.957 * [backup-simplify]: Simplify 1 into 1 4.958 * [backup-simplify]: Simplify (* 1 1) into 1 4.958 * [backup-simplify]: Simplify (/ 1 1) into 1 4.958 * [backup-simplify]: Simplify 1 into 1 4.958 * [backup-simplify]: Simplify (* 2 1) into 2 4.958 * [backup-simplify]: Simplify 2 into 2 4.958 * [backup-simplify]: Simplify 1 into 1 4.959 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 4.959 * * * [progress]: simplifying candidates 4.960 * [simplify]: Simplifying: (expm1 (+ (* y x) (* y y))) (log1p (+ (* y x) (* y y))) (* (exp (* y x)) (exp (* y y))) (log (+ (* y x) (* y y))) (exp (+ (* y x) (* y y))) (* (cbrt (+ (* y x) (* y y))) (cbrt (+ (* y x) (* y y)))) (cbrt (+ (* y x) (* y y))) (* (* (+ (* y x) (* y y)) (+ (* y x) (* y y))) (+ (* y x) (* y y))) (sqrt (+ (* y x) (* y y))) (sqrt (+ (* y x) (* y y))) (+ (pow (* y x) 3) (pow (* y y) 3)) (+ (* (* y x) (* y x)) (- (* (* y y) (* y y)) (* (* y x) (* y y)))) (- (* (* y x) (* y x)) (* (* y y) (* y y))) (- (* y x) (* y y)) (+ x y) (expm1 (+ (* x (+ x y)) (+ (* y x) (* y y)))) (log1p (+ (* x (+ x y)) (+ (* y x) (* y y)))) (* (exp (* x (+ x y))) (* (exp (* y x)) (exp (* y y)))) (* (exp (* x (+ x y))) (exp (+ (* y x) (* y y)))) (log (+ (* x (+ x y)) (+ (* y x) (* y y)))) (exp (+ (* x (+ x y)) (+ (* y x) (* y y)))) (* (cbrt (+ (* x (+ x y)) (+ (* y x) (* y y)))) (cbrt (+ (* x (+ x y)) (+ (* y x) (* y y))))) (cbrt (+ (* x (+ x y)) (+ (* y x) (* y y)))) (* (* (+ (* x (+ x y)) (+ (* y x) (* y y))) (+ (* x (+ x y)) (+ (* y x) (* y y)))) (+ (* x (+ x y)) (+ (* y x) (* y y)))) (sqrt (+ (* x (+ x y)) (+ (* y x) (* y y)))) (sqrt (+ (* x (+ x y)) (+ (* y x) (* y y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* (* y x) (* y x)) (- (* (* y y) (* y y)) (* (* y x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (pow (* y x) 3) (pow (* y y) 3)))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* (* y x) (* y x)) (- (* (* y y) (* y y)) (* (* y x) (* y y))))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- (* y x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- (* (* y x) (* y x)) (* (* y y) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- (* y x) (* y y))) (+ (* (* x (- (* x x) (* y y))) (+ (* (* y x) (* y x)) (- (* (* y y) (* y y)) (* (* y x) (* y y))))) (* (- x y) (+ (pow (* y x) 3) (pow (* y y) 3)))) (* (- x y) (+ (* (* y x) (* y x)) (- (* (* y y) (* y y)) (* (* y x) (* y y))))) (+ (* (* x (- (* x x) (* y y))) (- (* y x) (* y y))) (* (- x y) (- (* (* y x) (* y x)) (* (* y y) (* y y))))) (* (- x y) (- (* y x) (* y y))) (+ (pow (* x (+ x y)) 3) (pow (+ (* y x) (* y y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (+ (* y x) (* y y)) (+ (* y x) (* y y))) (* (* x (+ x y)) (+ (* y x) (* y y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (+ (* y x) (* y y)) (+ (* y x) (* y y)))) (- (* x (+ x y)) (+ (* y x) (* y y))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x y) (+ (* y x) (* y y))) (+ (* y x) (+ (* y x) (* y y))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 4.961 * * [simplify]: Extracting # 0 : cost 0 4.961 * * [simplify]: Extracting # 1 : cost 0 4.961 * * [simplify]: Extracting # 2 : cost 0 4.962 * * [simplify]: Extracting # 3 : cost 0 4.962 * * [simplify]: Extracting # 4 : cost 0 4.962 * * [simplify]: Extracting # 5 : cost 0 4.962 * * [simplify]: Extracting # 6 : cost 0 4.962 * * [simplify]: Extracting # 7 : cost 0 4.962 * * [simplify]: Extracting # 8 : cost 0 4.962 * * [simplify]: Extracting # 9 : cost 0 4.963 * * [simplify]: iteration 0 : 89 enodes (cost 835 ) 4.997 * * [simplify]: Extracting # 0 : cost 0 4.997 * * [simplify]: Extracting # 1 : cost 0 4.998 * * [simplify]: Extracting # 2 : cost 0 4.999 * * [simplify]: Extracting # 3 : cost 0 5.000 * * [simplify]: Extracting # 4 : cost 0 5.000 * * [simplify]: Extracting # 5 : cost 0 5.001 * * [simplify]: Extracting # 6 : cost 0 5.002 * * [simplify]: iteration 1 : 351 enodes (cost 657 ) 5.450 * * [simplify]: Extracting # 0 : cost 0 5.453 * * [simplify]: Extracting # 1 : cost 0 5.458 * * [simplify]: Extracting # 2 : cost 0 5.465 * * [simplify]: Extracting # 3 : cost 0 5.471 * * [simplify]: Extracting # 4 : cost 0 5.477 * * [simplify]: iteration 2 : 2594 enodes (cost 527 ) 8.639 * * [simplify]: Extracting # 0 : cost 0 8.654 * * [simplify]: Extracting # 1 : cost 0 8.669 * * [simplify]: Extracting # 2 : cost 0 8.682 * * [simplify]: Extracting # 3 : cost 0 8.696 * * [simplify]: Extracting # 4 : cost 0 8.715 * * [simplify]: iteration done: 5000 enodes (cost 523 ) 8.715 * [simplify]: Simplified to: (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (exp (* y (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (pow (* y (+ x y)) 3) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (+ (pow (* y x) 3) (pow y 6)) (* (* y y) (fma x x (* y (- y x)))) (* (* y y) (- (* x x) (* y y))) (* y (- x y)) (+ x y) (expm1 (* (+ x y) (+ y x))) (log1p (* (+ x y) (+ y x))) (exp (* (+ x y) (+ y x))) (exp (* (+ x y) (+ y x))) (log (* (+ x y) (+ y x))) (exp (* (+ x y) (+ y x))) (* (cbrt (* (+ x y) (+ y x))) (cbrt (* (+ x y) (+ y x)))) (cbrt (* (+ x y) (+ y x))) (pow (* (+ x y) (+ y x)) 3) (sqrt (* (+ x y) (+ y x))) (sqrt (* (+ x y) (+ y x))) (fma (+ (pow (* y x) 3) (pow y 6)) (fma x x (* y (- y x))) (* (fma (pow y 3) x (pow x 4)) (* (* y y) (fma x x (* y (- y x)))))) (* (* (* y y) (fma x x (* y (- y x)))) (fma x x (* y (- y x)))) (fma (* (* y y) (- (* x x) (* y y))) (fma x x (* y (- y x))) (* (* (fma (pow y 3) x (pow x 4)) y) (- x y))) (* (* y (- x y)) (fma x x (* y (- y x)))) (fma (+ (pow (* y x) 3) (pow y 6)) (- x y) (* (* x (- (* x x) (* y y))) (* (* y y) (fma x x (* y (- y x)))))) (* (* (* y y) (fma x x (* y (- y x)))) (- x y)) (fma (- x y) (* (* y y) (- (* x x) (* y y))) (* (* x (- (* x x) (* y y))) (* y (- x y)))) (* (- x y) (* y (- x y))) (+ (pow (* y (+ x y)) 3) (pow (* x (+ x y)) 3)) (fma (* y (+ x y)) (* (+ x y) (- y x)) (* (* x (+ x y)) (* x (+ x y)))) (* (* (+ x y) (- x y)) (* (+ x y) (+ y x))) (* (+ x y) (- x y)) (+ x y) (* x (+ (+ x y) y)) (* y (fma 2 x y)) (* y (fma 2 x y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (* (+ x y) (+ y x)) (* (+ x y) (+ y x)) (* (+ x y) (+ y x)) 8.716 * * * [progress]: adding candidates to table 8.968 * [progress]: [Phase 3 of 3] Extracting. 8.968 * * [regime]: Finding splitpoints for: (# #) 8.969 * * * [regime-changes]: Trying 2 branch expressions: (y x) 8.969 * * * * [regimes]: Trying to branch on y from (# #) 9.018 * * * * [regimes]: Trying to branch on x from (# #) 9.069 * * * [regime]: Found split indices: #