65.996 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.045 * * [simplify]: Extracting # 0 : cost 0 0.045 * * [simplify]: Extracting # 1 : cost 0 0.045 * * [simplify]: Extracting # 2 : cost 0 0.045 * * [simplify]: Extracting # 3 : cost 0 0.045 * * [simplify]: Extracting # 4 : cost 0 0.045 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: Extracting # 1 : cost 0 0.046 * * [simplify]: Extracting # 2 : cost 0 0.046 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.048 * * [simplify]: Extracting # 0 : cost 0 0.048 * * [simplify]: Extracting # 1 : cost 0 0.048 * * [simplify]: Extracting # 2 : cost 0 0.048 * * [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 ) 0.070 * * [simplify]: Extracting # 0 : cost 0 0.070 * * [simplify]: Extracting # 1 : cost 0 0.071 * * [simplify]: Extracting # 2 : cost 0 0.071 * * [simplify]: Extracting # 3 : cost 0 0.071 * * [simplify]: iteration 4 : 150 enodes (cost 7 ) 0.112 * * [simplify]: Extracting # 0 : cost 0 0.113 * * [simplify]: Extracting # 1 : cost 0 0.113 * * [simplify]: Extracting # 2 : cost 0 0.113 * * [simplify]: iteration 5 : 273 enodes (cost 7 ) 0.162 * * [simplify]: Extracting # 0 : cost 0 0.162 * * [simplify]: Extracting # 1 : cost 0 0.162 * * [simplify]: iteration 6 : 323 enodes (cost 7 ) 0.193 * * [simplify]: Extracting # 0 : cost 0 0.193 * * [simplify]: Extracting # 1 : cost 0 0.193 * * [simplify]: Extracting # 2 : cost 0 0.194 * * [simplify]: iteration 7 : 340 enodes (cost 7 ) 0.229 * * [simplify]: Extracting # 0 : cost 0 0.229 * * [simplify]: iteration 8 : 342 enodes (cost 7 ) 0.259 * * [simplify]: Extracting # 0 : cost 0 0.259 * * [simplify]: iteration done: 342 enodes (cost 7 ) 0.259 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.259 * * [progress]: iteration 1 / 4 0.259 * * * [progress]: picking best candidate 0.261 * * * * [pick]: Picked # 0.261 * * * [progress]: localizing error 0.266 * * * [progress]: generating rewritten candidates 0.266 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.304 * * * [progress]: generating series expansions 0.304 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.304 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.305 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.305 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.305 * [taylor]: Taking taylor expansion of (+ x y) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [backup-simplify]: Simplify x into x 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (+ x 0) into x 0.305 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.305 * [taylor]: Taking taylor expansion of (+ x y) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [backup-simplify]: Simplify y into y 0.305 * [backup-simplify]: Simplify (+ 0 y) into y 0.305 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.305 * [taylor]: Taking taylor expansion of (+ x y) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [backup-simplify]: Simplify y into y 0.305 * [backup-simplify]: Simplify (+ 0 y) into y 0.305 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (+ 1 0) into 1 0.307 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.307 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.307 * [taylor]: Taking taylor expansion of 2 in y 0.307 * [backup-simplify]: Simplify 2 into 2 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (* 2 0) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.308 * [taylor]: Taking taylor expansion of 1 in y 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.309 * [backup-simplify]: Simplify 2 into 2 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [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)))) 0.310 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.310 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.310 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [backup-simplify]: Simplify x into x 0.311 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.312 * [backup-simplify]: Simplify (+ 1 0) into 1 0.312 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [backup-simplify]: Simplify y into y 0.312 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (+ 0 1) 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 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify (+ 0 1) into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of 1 in y 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.316 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.316 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.316 * [taylor]: Taking taylor expansion of 2 in y 0.316 * [backup-simplify]: Simplify 2 into 2 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 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 (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (* 2 1) into 2 0.327 * [backup-simplify]: Simplify 2 into 2 0.327 * [backup-simplify]: Simplify 1 into 1 0.328 * [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)))) 0.328 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.328 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [backup-simplify]: Simplify x into x 0.329 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.330 * [backup-simplify]: Simplify (+ 1 0) into 1 0.330 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [backup-simplify]: Simplify y into y 0.330 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (+ 0 1) into 1 0.331 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [backup-simplify]: Simplify y into y 0.331 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (+ 0 1) into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of 1 in y 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.334 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.334 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.334 * [taylor]: Taking taylor expansion of 2 in y 0.334 * [backup-simplify]: Simplify 2 into 2 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 2 1) into 2 0.338 * [backup-simplify]: Simplify 2 into 2 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [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)))) 0.339 * * * [progress]: simplifying candidates 0.339 * [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)))) 0.340 * * [simplify]: Extracting # 0 : cost 0 0.340 * * [simplify]: Extracting # 1 : cost 0 0.340 * * [simplify]: Extracting # 2 : cost 0 0.340 * * [simplify]: Extracting # 3 : cost 0 0.340 * * [simplify]: Extracting # 4 : cost 0 0.340 * * [simplify]: Extracting # 5 : cost 0 0.341 * * [simplify]: Extracting # 6 : cost 0 0.341 * * [simplify]: iteration 0 : 64 enodes (cost 532 ) 0.359 * * [simplify]: Extracting # 0 : cost 0 0.359 * * [simplify]: Extracting # 1 : cost 0 0.359 * * [simplify]: Extracting # 2 : cost 0 0.359 * * [simplify]: Extracting # 3 : cost 0 0.360 * * [simplify]: Extracting # 4 : cost 0 0.360 * * [simplify]: iteration 1 : 232 enodes (cost 465 ) 0.572 * * [simplify]: Extracting # 0 : cost 0 0.577 * * [simplify]: Extracting # 1 : cost 0 0.582 * * [simplify]: Extracting # 2 : cost 0 0.587 * * [simplify]: Extracting # 3 : cost 0 0.598 * * [simplify]: Extracting # 4 : cost 0 0.602 * * [simplify]: iteration 2 : 1742 enodes (cost 416 ) 1.788 * * [simplify]: Extracting # 0 : cost 0 1.820 * * [simplify]: Extracting # 1 : cost 0 1.834 * * [simplify]: Extracting # 2 : cost 0 1.842 * * [simplify]: Extracting # 3 : cost 0 1.851 * * [simplify]: Extracting # 4 : cost 0 1.865 * * [simplify]: iteration done: 5002 enodes (cost 406 ) 1.866 * [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))) 1.866 * * * [progress]: adding candidates to table 1.960 * * [progress]: iteration 2 / 4 1.960 * * * [progress]: picking best candidate 1.963 * * * * [pick]: Picked # 1.964 * * * [progress]: localizing error 1.981 * * * [progress]: generating rewritten candidates 1.981 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 1.997 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.999 * * * [progress]: generating series expansions 1.999 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 1.999 * [backup-simplify]: Simplify (* y (fma x 2 y)) into (* y (fma x 2 y)) 1.999 * [approximate]: Taking taylor expansion of (* y (fma x 2 y)) in (y x) around 0 1.999 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 1.999 * [taylor]: Taking taylor expansion of y in x 1.999 * [backup-simplify]: Simplify y into y 2.007 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 2.007 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.007 * [taylor]: Taking taylor expansion of (* x 2) in x 2.007 * [taylor]: Taking taylor expansion of x in x 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [taylor]: Taking taylor expansion of 2 in x 2.007 * [backup-simplify]: Simplify 2 into 2 2.007 * [taylor]: Taking taylor expansion of y in x 2.008 * [backup-simplify]: Simplify y into y 2.008 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 2.008 * [taylor]: Taking taylor expansion of y in y 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 2.008 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.008 * [taylor]: Taking taylor expansion of (* x 2) in y 2.008 * [taylor]: Taking taylor expansion of x in y 2.008 * [backup-simplify]: Simplify x into x 2.008 * [taylor]: Taking taylor expansion of 2 in y 2.008 * [backup-simplify]: Simplify 2 into 2 2.008 * [taylor]: Taking taylor expansion of y in y 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 2.008 * [taylor]: Taking taylor expansion of y in y 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 2.008 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.008 * [taylor]: Taking taylor expansion of (* x 2) in y 2.008 * [taylor]: Taking taylor expansion of x in y 2.008 * [backup-simplify]: Simplify x into x 2.008 * [taylor]: Taking taylor expansion of 2 in y 2.008 * [backup-simplify]: Simplify 2 into 2 2.009 * [taylor]: Taking taylor expansion of y in y 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (* x 2) into (* 2 x) 2.009 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 2.009 * [backup-simplify]: Simplify (* 0 (* 2 x)) into 0 2.009 * [taylor]: Taking taylor expansion of 0 in x 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (+ (* x 0) (* 0 2)) into 0 2.011 * [backup-simplify]: Simplify (+ 0 1) into 1 2.012 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 x))) into (* 2 x) 2.012 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.012 * [taylor]: Taking taylor expansion of 2 in x 2.012 * [backup-simplify]: Simplify 2 into 2 2.012 * [taylor]: Taking taylor expansion of x in x 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (* 2 0) into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 2))) into 0 2.014 * [backup-simplify]: Simplify (+ 0 0) into 0 2.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 x)))) into 1 2.016 * [taylor]: Taking taylor expansion of 1 in x 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.017 * [backup-simplify]: Simplify 2 into 2 2.017 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2 x))))) into 0 2.020 * [taylor]: Taking taylor expansion of 0 in x 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2 x)))))) into 0 2.026 * [taylor]: Taking taylor expansion of 0 in x 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 2.027 * [backup-simplify]: Simplify (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) into (/ (fma (/ 1 x) 2 (/ 1 y)) y) 2.027 * [approximate]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in (y x) around 0 2.027 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in x 2.027 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 2.027 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.027 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 2.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [taylor]: Taking taylor expansion of 2 in x 2.028 * [backup-simplify]: Simplify 2 into 2 2.028 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.028 * [taylor]: Taking taylor expansion of y in x 2.028 * [backup-simplify]: Simplify y into y 2.028 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.028 * [taylor]: Taking taylor expansion of y in x 2.028 * [backup-simplify]: Simplify y into y 2.029 * [backup-simplify]: Simplify (* 1 2) into 2 2.030 * [backup-simplify]: Simplify (+ 2 0) into 2 2.030 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.030 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in y 2.030 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 2.030 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.030 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 2.030 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.030 * [taylor]: Taking taylor expansion of x in y 2.030 * [backup-simplify]: Simplify x into x 2.030 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.030 * [taylor]: Taking taylor expansion of 2 in y 2.030 * [backup-simplify]: Simplify 2 into 2 2.030 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.031 * [taylor]: Taking taylor expansion of y in y 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ 1 1) into 1 2.031 * [taylor]: Taking taylor expansion of y in y 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (+ 0 1) into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in y 2.033 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 2.033 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.033 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 2.033 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.033 * [taylor]: Taking taylor expansion of x in y 2.033 * [backup-simplify]: Simplify x into x 2.033 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.033 * [taylor]: Taking taylor expansion of 2 in y 2.033 * [backup-simplify]: Simplify 2 into 2 2.033 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.033 * [taylor]: Taking taylor expansion of y in y 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of y in y 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (+ 0 1) into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [taylor]: Taking taylor expansion of 1 in x 2.035 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (* (/ 1 x) 2) into (/ 2 x) 2.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x)) 2.038 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 2.038 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.038 * [taylor]: Taking taylor expansion of 2 in x 2.038 * [backup-simplify]: Simplify 2 into 2 2.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.038 * [taylor]: Taking taylor expansion of x in x 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (/ 1 1) into 1 2.039 * [backup-simplify]: Simplify (* 2 1) into 2 2.039 * [backup-simplify]: Simplify 2 into 2 2.039 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.040 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 2)) into 0 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 2.044 * [taylor]: Taking taylor expansion of 0 in x 2.044 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 2))) into 0 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.053 * [taylor]: Taking taylor expansion of 0 in x 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.057 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.063 * [taylor]: Taking taylor expansion of 0 in x 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 2.064 * [backup-simplify]: Simplify (* (/ 1 (- y)) (fma (/ 1 (- x)) 2 (/ 1 (- y)))) into (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) 2.064 * [approximate]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in (y x) around 0 2.064 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in x 2.064 * [taylor]: Taking taylor expansion of -1 in x 2.064 * [backup-simplify]: Simplify -1 into -1 2.064 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in x 2.064 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 2.064 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.064 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 2.064 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.064 * [taylor]: Taking taylor expansion of -1 in x 2.064 * [backup-simplify]: Simplify -1 into -1 2.064 * [taylor]: Taking taylor expansion of x in x 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (/ -1 1) into -1 2.065 * [taylor]: Taking taylor expansion of 2 in x 2.065 * [backup-simplify]: Simplify 2 into 2 2.066 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.066 * [taylor]: Taking taylor expansion of -1 in x 2.066 * [backup-simplify]: Simplify -1 into -1 2.066 * [taylor]: Taking taylor expansion of y in x 2.066 * [backup-simplify]: Simplify y into y 2.066 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.066 * [taylor]: Taking taylor expansion of y in x 2.066 * [backup-simplify]: Simplify y into y 2.067 * [backup-simplify]: Simplify (* -1 2) into -2 2.067 * [backup-simplify]: Simplify (+ -2 0) into -2 2.067 * [backup-simplify]: Simplify (/ -2 y) into (/ -2 y) 2.067 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in y 2.068 * [taylor]: Taking taylor expansion of -1 in y 2.068 * [backup-simplify]: Simplify -1 into -1 2.068 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in y 2.068 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 2.068 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.068 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 2.068 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.068 * [taylor]: Taking taylor expansion of -1 in y 2.068 * [backup-simplify]: Simplify -1 into -1 2.068 * [taylor]: Taking taylor expansion of x in y 2.068 * [backup-simplify]: Simplify x into x 2.068 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.068 * [taylor]: Taking taylor expansion of 2 in y 2.068 * [backup-simplify]: Simplify 2 into 2 2.068 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.068 * [taylor]: Taking taylor expansion of -1 in y 2.068 * [backup-simplify]: Simplify -1 into -1 2.068 * [taylor]: Taking taylor expansion of y in y 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (/ -1 1) into -1 2.070 * [taylor]: Taking taylor expansion of y in y 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.071 * [backup-simplify]: Simplify (/ -1 1) into -1 2.071 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in y 2.071 * [taylor]: Taking taylor expansion of -1 in y 2.071 * [backup-simplify]: Simplify -1 into -1 2.071 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in y 2.071 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 2.072 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.072 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 2.072 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.072 * [taylor]: Taking taylor expansion of -1 in y 2.072 * [backup-simplify]: Simplify -1 into -1 2.072 * [taylor]: Taking taylor expansion of x in y 2.072 * [backup-simplify]: Simplify x into x 2.072 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.072 * [taylor]: Taking taylor expansion of 2 in y 2.072 * [backup-simplify]: Simplify 2 into 2 2.072 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.072 * [taylor]: Taking taylor expansion of -1 in y 2.072 * [backup-simplify]: Simplify -1 into -1 2.072 * [taylor]: Taking taylor expansion of y in y 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (/ -1 1) into -1 2.073 * [taylor]: Taking taylor expansion of y in y 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.075 * [backup-simplify]: Simplify (/ -1 1) into -1 2.075 * [backup-simplify]: Simplify (* -1 -1) into 1 2.075 * [taylor]: Taking taylor expansion of 1 in x 2.075 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* (/ -1 x) 2) into (/ -2 x) 2.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (/ -2 x) 0) into (- (* 2 (/ 1 x))) 2.078 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 x))) 1) (+ (* -1 (/ 0 1)))) into (- (* 2 (/ 1 x))) 2.079 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 x)))) (* 0 -1)) into (* 2 (/ 1 x)) 2.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.079 * [taylor]: Taking taylor expansion of 2 in x 2.079 * [backup-simplify]: Simplify 2 into 2 2.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.081 * [backup-simplify]: Simplify (* 2 1) into 2 2.081 * [backup-simplify]: Simplify 2 into 2 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 2.082 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 2)) into 0 2.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 x))) (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1))) into 0 2.088 * [taylor]: Taking taylor expansion of 0 in x 2.088 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.092 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 2))) into 0 2.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1)))) into 0 2.099 * [taylor]: Taking taylor expansion of 0 in x 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.104 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 2.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1))))) into 0 2.112 * [taylor]: Taking taylor expansion of 0 in x 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 2.113 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.113 * [backup-simplify]: Simplify (fma x x (* y (fma x 2 y))) into (fma x x (* y (fma x 2 y))) 2.113 * [approximate]: Taking taylor expansion of (fma x x (* y (fma x 2 y))) in (x y) around 0 2.113 * [taylor]: Taking taylor expansion of (fma x x (* y (fma x 2 y))) in y 2.114 * [taylor]: Rewrote expression to (+ (* x x) (* y (fma x 2 y))) 2.114 * [taylor]: Taking taylor expansion of (* x x) in y 2.114 * [taylor]: Taking taylor expansion of x in y 2.114 * [backup-simplify]: Simplify x into x 2.114 * [taylor]: Taking taylor expansion of x in y 2.114 * [backup-simplify]: Simplify x into x 2.114 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 2.114 * [taylor]: Taking taylor expansion of y in y 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 2.114 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.114 * [taylor]: Taking taylor expansion of (* x 2) in y 2.114 * [taylor]: Taking taylor expansion of x in y 2.114 * [backup-simplify]: Simplify x into x 2.114 * [taylor]: Taking taylor expansion of 2 in y 2.114 * [backup-simplify]: Simplify 2 into 2 2.114 * [taylor]: Taking taylor expansion of y in y 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [taylor]: Taking taylor expansion of (fma x x (* y (fma x 2 y))) in x 2.114 * [taylor]: Rewrote expression to (+ (* x x) (* y (fma x 2 y))) 2.114 * [taylor]: Taking taylor expansion of (* x x) in x 2.115 * [taylor]: Taking taylor expansion of x in x 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [taylor]: Taking taylor expansion of x in x 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 2.115 * [taylor]: Taking taylor expansion of y in x 2.115 * [backup-simplify]: Simplify y into y 2.115 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 2.115 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.115 * [taylor]: Taking taylor expansion of (* x 2) in x 2.115 * [taylor]: Taking taylor expansion of x in x 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [taylor]: Taking taylor expansion of 2 in x 2.115 * [backup-simplify]: Simplify 2 into 2 2.115 * [taylor]: Taking taylor expansion of y in x 2.115 * [backup-simplify]: Simplify y into y 2.115 * [taylor]: Taking taylor expansion of (fma x x (* y (fma x 2 y))) in x 2.115 * [taylor]: Rewrote expression to (+ (* x x) (* y (fma x 2 y))) 2.115 * [taylor]: Taking taylor expansion of (* x x) in x 2.115 * [taylor]: Taking taylor expansion of x in x 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.116 * [taylor]: Taking taylor expansion of x in x 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.116 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 2.116 * [taylor]: Taking taylor expansion of y in x 2.116 * [backup-simplify]: Simplify y into y 2.116 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 2.116 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.116 * [taylor]: Taking taylor expansion of (* x 2) in x 2.116 * [taylor]: Taking taylor expansion of x in x 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.116 * [taylor]: Taking taylor expansion of 2 in x 2.116 * [backup-simplify]: Simplify 2 into 2 2.116 * [taylor]: Taking taylor expansion of y in x 2.116 * [backup-simplify]: Simplify y into y 2.117 * [backup-simplify]: Simplify (* 0 0) into 0 2.117 * [backup-simplify]: Simplify (* 0 2) into 0 2.118 * [backup-simplify]: Simplify (+ 0 y) into y 2.118 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.118 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.118 * [taylor]: Taking taylor expansion of y in y 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.120 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 2)) into 2 2.121 * [backup-simplify]: Simplify (+ 2 0) into 2 2.121 * [backup-simplify]: Simplify (+ (* y 2) (* 0 y)) into (* 2 y) 2.121 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.121 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.121 * [taylor]: Taking taylor expansion of 2 in y 2.121 * [backup-simplify]: Simplify 2 into 2 2.121 * [taylor]: Taking taylor expansion of y in y 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (* 2 0) into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 2) (* 0 y))) into 0 2.126 * [backup-simplify]: Simplify (+ 1 0) into 1 2.126 * [taylor]: Taking taylor expansion of 1 in y 2.126 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.128 * [backup-simplify]: Simplify 2 into 2 2.128 * [backup-simplify]: Simplify (* 1 1) into 1 2.128 * [backup-simplify]: Simplify 1 into 1 2.129 * [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)))) 2.129 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)))) into (fma (/ 1 x) (/ 1 x) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) 2.129 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) in (x y) around 0 2.129 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) in y 2.130 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) 2.130 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.130 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.130 * [taylor]: Taking taylor expansion of x in y 2.130 * [backup-simplify]: Simplify x into x 2.130 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.130 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.130 * [taylor]: Taking taylor expansion of x in y 2.130 * [backup-simplify]: Simplify x into x 2.130 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.130 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in y 2.130 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 2.130 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.130 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 2.130 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.130 * [taylor]: Taking taylor expansion of x in y 2.130 * [backup-simplify]: Simplify x into x 2.130 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.130 * [taylor]: Taking taylor expansion of 2 in y 2.131 * [backup-simplify]: Simplify 2 into 2 2.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.131 * [taylor]: Taking taylor expansion of y in y 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (/ 1 1) into 1 2.131 * [taylor]: Taking taylor expansion of y in y 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify (+ 0 1) into 1 2.133 * [backup-simplify]: Simplify (/ 1 1) into 1 2.133 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) in x 2.133 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) 2.133 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (/ 1 1) into 1 2.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (/ 1 1) into 1 2.134 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in x 2.135 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 2.135 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.135 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 2.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [taylor]: Taking taylor expansion of 2 in x 2.136 * [backup-simplify]: Simplify 2 into 2 2.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.136 * [taylor]: Taking taylor expansion of y in x 2.136 * [backup-simplify]: Simplify y into y 2.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.136 * [taylor]: Taking taylor expansion of y in x 2.136 * [backup-simplify]: Simplify y into y 2.137 * [backup-simplify]: Simplify (* 1 2) into 2 2.137 * [backup-simplify]: Simplify (+ 2 0) into 2 2.137 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.137 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) in x 2.138 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) 2.138 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.139 * [taylor]: Taking taylor expansion of x in x 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in x 2.139 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 2.140 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.140 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 2.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.140 * [taylor]: Taking taylor expansion of x in x 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 1 into 1 2.140 * [backup-simplify]: Simplify (/ 1 1) into 1 2.140 * [taylor]: Taking taylor expansion of 2 in x 2.140 * [backup-simplify]: Simplify 2 into 2 2.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.140 * [taylor]: Taking taylor expansion of y in x 2.140 * [backup-simplify]: Simplify y into y 2.141 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.141 * [taylor]: Taking taylor expansion of y in x 2.141 * [backup-simplify]: Simplify y into y 2.141 * [backup-simplify]: Simplify (* 1 2) into 2 2.142 * [backup-simplify]: Simplify (+ 2 0) into 2 2.142 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.143 * [backup-simplify]: Simplify (* 1 1) into 1 2.143 * [backup-simplify]: Simplify (+ 1 0) into 1 2.143 * [taylor]: Taking taylor expansion of 1 in y 2.143 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.146 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.146 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.146 * [taylor]: Taking taylor expansion of 2 in y 2.146 * [backup-simplify]: Simplify 2 into 2 2.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.146 * [taylor]: Taking taylor expansion of y in y 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 2.152 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.153 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 2 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.153 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.153 * [taylor]: Taking taylor expansion of y in y 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify (* 1 1) into 1 2.155 * [backup-simplify]: Simplify (/ 1 1) into 1 2.155 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (* 2 1) into 2 2.155 * [backup-simplify]: Simplify 2 into 2 2.155 * [backup-simplify]: Simplify 1 into 1 2.156 * [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)))) 2.157 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (fma (/ 1 (- x)) 2 (/ 1 (- y))))) into (fma (/ -1 x) (/ -1 x) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) 2.157 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) in (x y) around 0 2.157 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) in y 2.157 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) 2.157 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.157 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.157 * [taylor]: Taking taylor expansion of -1 in y 2.157 * [backup-simplify]: Simplify -1 into -1 2.157 * [taylor]: Taking taylor expansion of x in y 2.157 * [backup-simplify]: Simplify x into x 2.157 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.157 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.158 * [taylor]: Taking taylor expansion of -1 in y 2.158 * [backup-simplify]: Simplify -1 into -1 2.158 * [taylor]: Taking taylor expansion of x in y 2.158 * [backup-simplify]: Simplify x into x 2.158 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.158 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in y 2.158 * [taylor]: Taking taylor expansion of -1 in y 2.158 * [backup-simplify]: Simplify -1 into -1 2.158 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in y 2.158 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 2.158 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.158 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 2.158 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.158 * [taylor]: Taking taylor expansion of -1 in y 2.158 * [backup-simplify]: Simplify -1 into -1 2.158 * [taylor]: Taking taylor expansion of x in y 2.158 * [backup-simplify]: Simplify x into x 2.158 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.158 * [taylor]: Taking taylor expansion of 2 in y 2.158 * [backup-simplify]: Simplify 2 into 2 2.158 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.158 * [taylor]: Taking taylor expansion of -1 in y 2.158 * [backup-simplify]: Simplify -1 into -1 2.158 * [taylor]: Taking taylor expansion of y in y 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.159 * [backup-simplify]: Simplify (/ -1 1) into -1 2.159 * [taylor]: Taking taylor expansion of y in y 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 1 into 1 2.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.160 * [backup-simplify]: Simplify (/ -1 1) into -1 2.161 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) in x 2.161 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) 2.161 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.161 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.161 * [taylor]: Taking taylor expansion of -1 in x 2.161 * [backup-simplify]: Simplify -1 into -1 2.161 * [taylor]: Taking taylor expansion of x in x 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.162 * [backup-simplify]: Simplify (/ -1 1) into -1 2.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.162 * [taylor]: Taking taylor expansion of -1 in x 2.162 * [backup-simplify]: Simplify -1 into -1 2.162 * [taylor]: Taking taylor expansion of x in x 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (/ -1 1) into -1 2.163 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in x 2.163 * [taylor]: Taking taylor expansion of -1 in x 2.163 * [backup-simplify]: Simplify -1 into -1 2.163 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in x 2.163 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 2.163 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.163 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 2.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.163 * [taylor]: Taking taylor expansion of -1 in x 2.163 * [backup-simplify]: Simplify -1 into -1 2.164 * [taylor]: Taking taylor expansion of x in x 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [backup-simplify]: Simplify (/ -1 1) into -1 2.164 * [taylor]: Taking taylor expansion of 2 in x 2.164 * [backup-simplify]: Simplify 2 into 2 2.164 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.164 * [taylor]: Taking taylor expansion of -1 in x 2.164 * [backup-simplify]: Simplify -1 into -1 2.165 * [taylor]: Taking taylor expansion of y in x 2.165 * [backup-simplify]: Simplify y into y 2.165 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.165 * [taylor]: Taking taylor expansion of y in x 2.165 * [backup-simplify]: Simplify y into y 2.165 * [backup-simplify]: Simplify (* -1 2) into -2 2.166 * [backup-simplify]: Simplify (+ -2 0) into -2 2.166 * [backup-simplify]: Simplify (/ -2 y) into (/ -2 y) 2.166 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) in x 2.166 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) 2.166 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.166 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.166 * [taylor]: Taking taylor expansion of -1 in x 2.166 * [backup-simplify]: Simplify -1 into -1 2.167 * [taylor]: Taking taylor expansion of x in x 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [backup-simplify]: Simplify (/ -1 1) into -1 2.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.167 * [taylor]: Taking taylor expansion of -1 in x 2.167 * [backup-simplify]: Simplify -1 into -1 2.167 * [taylor]: Taking taylor expansion of x in x 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.168 * [backup-simplify]: Simplify (/ -1 1) into -1 2.168 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in x 2.168 * [taylor]: Taking taylor expansion of -1 in x 2.168 * [backup-simplify]: Simplify -1 into -1 2.168 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in x 2.168 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 2.168 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.169 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 2.169 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.169 * [taylor]: Taking taylor expansion of -1 in x 2.169 * [backup-simplify]: Simplify -1 into -1 2.169 * [taylor]: Taking taylor expansion of x in x 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (/ -1 1) into -1 2.169 * [taylor]: Taking taylor expansion of 2 in x 2.169 * [backup-simplify]: Simplify 2 into 2 2.169 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.170 * [taylor]: Taking taylor expansion of -1 in x 2.170 * [backup-simplify]: Simplify -1 into -1 2.170 * [taylor]: Taking taylor expansion of y in x 2.170 * [backup-simplify]: Simplify y into y 2.170 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.170 * [taylor]: Taking taylor expansion of y in x 2.170 * [backup-simplify]: Simplify y into y 2.170 * [backup-simplify]: Simplify (* -1 2) into -2 2.171 * [backup-simplify]: Simplify (+ -2 0) into -2 2.171 * [backup-simplify]: Simplify (/ -2 y) into (/ -2 y) 2.172 * [backup-simplify]: Simplify (* -1 -1) into 1 2.172 * [backup-simplify]: Simplify (+ 1 0) into 1 2.172 * [taylor]: Taking taylor expansion of 1 in y 2.172 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.175 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.176 * [backup-simplify]: Simplify (* -1 (/ -2 y)) into (/ 2 y) 2.176 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.176 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.176 * [taylor]: Taking taylor expansion of 2 in y 2.176 * [backup-simplify]: Simplify 2 into 2 2.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.176 * [taylor]: Taking taylor expansion of y in y 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [backup-simplify]: Simplify (/ 1 1) into 1 2.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.183 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 2)) into 0 2.183 * [backup-simplify]: Simplify (+ 0 (/ -1 y)) into (- (/ 1 y)) 2.183 * [backup-simplify]: Simplify (- (/ (- (/ 1 y)) y) (+ (* (/ -2 y) (/ 0 y)))) into (- (/ 1 (pow y 2))) 2.183 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 2)))) (* 0 (/ -2 y))) into (/ 1 (pow y 2)) 2.184 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.184 * [taylor]: Taking taylor expansion of y in y 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [backup-simplify]: Simplify (* 1 1) into 1 2.185 * [backup-simplify]: Simplify (/ 1 1) into 1 2.185 * [backup-simplify]: Simplify 1 into 1 2.185 * [backup-simplify]: Simplify (* 2 1) into 2 2.185 * [backup-simplify]: Simplify 2 into 2 2.186 * [backup-simplify]: Simplify 1 into 1 2.186 * [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)))) 2.187 * * * [progress]: simplifying candidates 2.188 * [simplify]: Simplifying: (expm1 (* y (fma x 2 y))) (log1p (* y (fma x 2 y))) (* y (fma x 2 y)) (+ (log y) (log (fma x 2 y))) (log (* y (fma x 2 y))) (exp (* y (fma x 2 y))) (* (* (* y y) y) (* (* (fma x 2 y) (fma x 2 y)) (fma x 2 y))) (* (cbrt (* y (fma x 2 y))) (cbrt (* y (fma x 2 y)))) (cbrt (* y (fma x 2 y))) (* (* (* y (fma x 2 y)) (* y (fma x 2 y))) (* y (fma x 2 y))) (sqrt (* y (fma x 2 y))) (sqrt (* y (fma x 2 y))) (* (sqrt y) (sqrt (fma x 2 y))) (* (sqrt y) (sqrt (fma x 2 y))) (* y (* x 2)) (* y y) (* (* x 2) y) (* y y) (* y (* (cbrt (fma x 2 y)) (cbrt (fma x 2 y)))) (* y (sqrt (fma x 2 y))) (* y 1) (* (cbrt y) (fma x 2 y)) (* (sqrt y) (fma x 2 y)) (* y (fma x 2 y)) (expm1 (fma x x (* y (fma x 2 y)))) (log1p (fma x x (* y (fma x 2 y)))) (* x x) (log (fma x x (* y (fma x 2 y)))) (exp (fma x x (* y (fma x 2 y)))) (* (cbrt (fma x x (* y (fma x 2 y)))) (cbrt (fma x x (* y (fma x 2 y))))) (cbrt (fma x x (* y (fma x 2 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)))) (sqrt (fma x x (* y (fma x 2 y)))) (sqrt (fma x x (* y (fma x 2 y)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 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)))) 2.189 * * [simplify]: Extracting # 0 : cost 0 2.189 * * [simplify]: Extracting # 1 : cost 0 2.189 * * [simplify]: Extracting # 2 : cost 0 2.189 * * [simplify]: Extracting # 3 : cost 0 2.189 * * [simplify]: Extracting # 4 : cost 0 2.190 * * [simplify]: Extracting # 5 : cost 0 2.190 * * [simplify]: Extracting # 6 : cost 0 2.190 * * [simplify]: iteration 0 : 54 enodes (cost 382 ) 2.209 * * [simplify]: Extracting # 0 : cost 0 2.210 * * [simplify]: Extracting # 1 : cost 0 2.210 * * [simplify]: Extracting # 2 : cost 0 2.210 * * [simplify]: iteration 1 : 110 enodes (cost 379 ) 2.277 * * [simplify]: Extracting # 0 : cost 0 2.278 * * [simplify]: Extracting # 1 : cost 0 2.279 * * [simplify]: Extracting # 2 : cost 0 2.279 * * [simplify]: Extracting # 3 : cost 0 2.280 * * [simplify]: Extracting # 4 : cost 0 2.280 * * [simplify]: iteration 2 : 440 enodes (cost 324 ) 2.994 * * [simplify]: Extracting # 0 : cost 0 3.001 * * [simplify]: Extracting # 1 : cost 0 3.006 * * [simplify]: Extracting # 2 : cost 0 3.013 * * [simplify]: Extracting # 3 : cost 0 3.021 * * [simplify]: Extracting # 4 : cost 0 3.030 * * [simplify]: iteration 3 : 3097 enodes (cost 316 ) 4.746 * * [simplify]: Extracting # 0 : cost 0 4.760 * * [simplify]: Extracting # 1 : cost 0 4.767 * * [simplify]: Extracting # 2 : cost 0 4.773 * * [simplify]: iteration done: 5000 enodes (cost 316 ) 4.773 * [simplify]: Simplified to: (expm1 (* y (fma x 2 y))) (log1p (* y (fma x 2 y))) (* y (fma x 2 y)) (log (* y (fma x 2 y))) (log (* y (fma x 2 y))) (exp (* y (fma x 2 y))) (pow (* y (fma x 2 y)) 3) (* (cbrt (* y (fma x 2 y))) (cbrt (* y (fma x 2 y)))) (cbrt (* y (fma x 2 y))) (pow (* y (fma x 2 y)) 3) (sqrt (* y (fma x 2 y))) (sqrt (* y (fma x 2 y))) (* (sqrt y) (sqrt (fma x 2 y))) (* (sqrt y) (sqrt (fma x 2 y))) (* 2 (* x y)) (* y y) (* (* x 2) y) (* y y) (* y (* (cbrt (fma x 2 y)) (cbrt (fma x 2 y)))) (* y (sqrt (fma x 2 y))) y (* (cbrt y) (fma x 2 y)) (* (sqrt y) (fma x 2 y)) (* y (fma x 2 y)) (expm1 (fma x x (* y (fma x 2 y)))) (log1p (fma x x (* y (fma x 2 y)))) (* x x) (log (fma x x (* y (fma x 2 y)))) (exp (fma x x (* y (fma x 2 y)))) (* (cbrt (fma x x (* y (fma x 2 y)))) (cbrt (fma x x (* y (fma x 2 y))))) (cbrt (fma x x (* y (fma x 2 y)))) (pow (fma x x (* y (fma x 2 y))) 3) (sqrt (fma x x (* y (fma x 2 y)))) (sqrt (fma x x (* y (fma x 2 y)))) (* y (fma x 2 y)) (* y (fma x 2 y)) (* y (fma x 2 y)) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) 4.773 * * * [progress]: adding candidates to table 4.896 * [progress]: [Phase 3 of 3] Extracting. 4.896 * * [regime]: Finding splitpoints for: (# #) 4.896 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 4.896 * * * * [regimes]: Trying to branch on (+ x y) from (# #) 4.915 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# #) 4.933 * * * * [regimes]: Trying to branch on y from (# #) 4.952 * * * * [regimes]: Trying to branch on x from (# #) 4.970 * * * [regime]: Found split indices: #