32.532 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.028 * * [simplify]: iteration 0: 4 enodes 0.029 * * [simplify]: iteration 1: 11 enodes 0.032 * * [simplify]: iteration 2: 27 enodes 0.037 * * [simplify]: iteration 3: 65 enodes 0.048 * * [simplify]: iteration 4: 105 enodes 0.063 * * [simplify]: iteration 5: 131 enodes 0.080 * * [simplify]: iteration 6: 153 enodes 0.102 * * [simplify]: iteration 7: 167 enodes 0.116 * * [simplify]: iteration complete: 167 enodes 0.116 * * [simplify]: Extracting #0: cost 1 inf + 0 0.116 * * [simplify]: Extracting #1: cost 19 inf + 0 0.116 * * [simplify]: Extracting #2: cost 14 inf + 85 0.117 * * [simplify]: Extracting #3: cost 0 inf + 1203 0.117 * * [simplify]: Extracting #4: cost 0 inf + 1125 0.118 * [simplify]: Simplified to: (* (+ y x) (+ y x)) 0.119 * * [progress]: iteration 1 / 4 0.119 * * * [progress]: picking best candidate 0.122 * * * * [pick]: Picked # 0.122 * * * [progress]: localizing error 0.128 * * * [progress]: generating rewritten candidates 0.128 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.165 * * * [progress]: generating series expansions 0.165 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.165 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.165 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.165 * [taylor]: Taking taylor expansion of (+ x y) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [backup-simplify]: Simplify x into x 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ x 0) into x 0.165 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.165 * [taylor]: Taking taylor expansion of (+ x y) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [backup-simplify]: Simplify y into y 0.165 * [backup-simplify]: Simplify (+ 0 y) into y 0.165 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.165 * [taylor]: Taking taylor expansion of (+ x y) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [backup-simplify]: Simplify y into y 0.165 * [backup-simplify]: Simplify (+ 0 y) into y 0.165 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.166 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.166 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.166 * [taylor]: Taking taylor expansion of 2 in y 0.166 * [backup-simplify]: Simplify 2 into 2 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 2 0) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.167 * [taylor]: Taking taylor expansion of 1 in y 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.168 * [backup-simplify]: Simplify 2 into 2 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.169 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.169 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.169 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [backup-simplify]: Simplify x into x 0.169 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (+ 0 1) into 1 0.169 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [backup-simplify]: Simplify y into y 0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.170 * [backup-simplify]: Simplify (+ 1 0) into 1 0.170 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.173 * [backup-simplify]: Simplify y into y 0.173 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of 1 in y 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.175 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.175 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.175 * [taylor]: Taking taylor expansion of 2 in y 0.175 * [backup-simplify]: Simplify 2 into 2 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (* 2 1) into 2 0.178 * [backup-simplify]: Simplify 2 into 2 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [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 y 2) (+ (pow x 2) (* 2 (* x y)))) 0.179 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.179 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [backup-simplify]: Simplify x into x 0.179 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (+ 0 1) into 1 0.180 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [backup-simplify]: Simplify y into y 0.180 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.180 * [backup-simplify]: Simplify (+ 1 0) into 1 0.180 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [backup-simplify]: Simplify y into y 0.181 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of 1 in y 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.182 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.182 * [taylor]: Taking taylor expansion of 2 in y 0.182 * [backup-simplify]: Simplify 2 into 2 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (* 2 1) into 2 0.185 * [backup-simplify]: Simplify 2 into 2 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [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 y 2) (+ (pow x 2) (* 2 (* x y)))) 0.186 * * * [progress]: simplifying candidates 0.187 * [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 y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.188 * * [simplify]: iteration 0: 64 enodes 0.222 * * [simplify]: iteration 1: 231 enodes 0.373 * * [simplify]: iteration 2: 832 enodes 1.224 * * [simplify]: iteration 3: 4150 enodes 2.757 * * [simplify]: iteration complete: 5000 enodes 2.757 * * [simplify]: Extracting #0: cost 27 inf + 0 2.758 * * [simplify]: Extracting #1: cost 382 inf + 2 2.765 * * [simplify]: Extracting #2: cost 1248 inf + 7366 2.810 * * [simplify]: Extracting #3: cost 579 inf + 145758 2.908 * * [simplify]: Extracting #4: cost 73 inf + 231622 2.973 * * [simplify]: Extracting #5: cost 4 inf + 253915 3.086 * * [simplify]: Extracting #6: cost 0 inf + 255135 3.177 * [simplify]: Simplified to: (expm1 (* (+ y x) (+ y x))) (log1p (* (+ y x) (+ y x))) 2 (* (+ y x) (+ y x)) 2 (log (* (+ y x) (+ y x))) (log (* (+ y x) (+ y x))) (exp (* (+ y x) (+ y x))) (* (* (* (+ y x) (+ y x)) (+ y x)) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (* (+ y x) (+ y x))) (cbrt (* (+ y x) (+ y x)))) (cbrt (* (+ y x) (+ y x))) (* (* (* (+ y x) (+ y x)) (+ y x)) (* (* (+ y x) (+ y x)) (+ y x))) (fabs (+ y x)) (fabs (+ y x)) (* (fma y (* y y) (* (* x x) x)) (fma y (* y y) (* (* x x) x))) (* (fma y (- y x) (* x x)) (fma y (- y x) (* x x))) (fma (fma y (* y y) (* (* x x) x)) (* x x) (* (fma y (* y y) (* (* x x) x)) (- (* y y)))) (* (fma y (- y x) (* x x)) (- x y)) (fma (fma y (* y y) (* (* x x) x)) (* x x) (* (fma y (* y y) (* (* x x) x)) (- (* y y)))) (* (fma y (- y x) (* x x)) (- x y)) (* (* (- x y) (+ y x)) (* (- x y) (+ y x))) (* (- x y) (- x y)) (* (cbrt (+ y x)) (+ y x)) (* (cbrt (+ y x)) (cbrt (+ y x))) (+ y x) (+ y x) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) 1 (* (+ y x) (+ y x)) (+ y x) (+ y x) 2 (* x (+ y x)) (* (+ y x) y) (* x (+ y x)) (* (+ y x) y) (* (* (cbrt (+ y x)) (+ y x)) (cbrt (+ y x))) (* (+ y x) (sqrt (+ y x))) (+ y x) (+ y x) (* (cbrt (+ y x)) (+ y x)) (* (+ y x) (sqrt (+ y x))) (* (+ y x) (+ y x)) (* (+ y x) (+ y x)) (* (+ y x) (fma y (* y y) (* (* x x) x))) (* (* (- x y) (+ y x)) (+ y x)) (* (+ y x) (fma y (* y y) (* (* x x) x))) (* (* (- x y) (+ y x)) (+ y x)) (fma y (* x 2) (fma x x (* y y))) (fma y (* x 2) (fma x x (* y y))) (fma y (* x 2) (fma x x (* y y))) 3.180 * * * [progress]: adding candidates to table 3.323 * * [progress]: iteration 2 / 4 3.323 * * * [progress]: picking best candidate 3.330 * * * * [pick]: Picked # 3.330 * * * [progress]: localizing error 3.344 * * * [progress]: generating rewritten candidates 3.344 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 3.344 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.345 * * * [progress]: generating series expansions 3.345 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 3.345 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2)) 3.345 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 3.345 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 3.345 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 3.345 * [taylor]: Taking taylor expansion of (* x x) in y 3.345 * [taylor]: Taking taylor expansion of x in y 3.345 * [backup-simplify]: Simplify x into x 3.345 * [taylor]: Taking taylor expansion of x in y 3.345 * [backup-simplify]: Simplify x into x 3.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.345 * [taylor]: Taking taylor expansion of y in y 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.345 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 3.345 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 3.345 * [taylor]: Taking taylor expansion of (* x x) in x 3.345 * [taylor]: Taking taylor expansion of x in x 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.346 * [taylor]: Taking taylor expansion of x in x 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.346 * [taylor]: Taking taylor expansion of y in x 3.346 * [backup-simplify]: Simplify y into y 3.346 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 3.346 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 3.346 * [taylor]: Taking taylor expansion of (* x x) in x 3.346 * [taylor]: Taking taylor expansion of x in x 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [taylor]: Taking taylor expansion of x in x 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.346 * [taylor]: Taking taylor expansion of y in x 3.346 * [backup-simplify]: Simplify y into y 3.347 * [backup-simplify]: Simplify (* 0 0) into 0 3.347 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.347 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.347 * [taylor]: Taking taylor expansion of y in y 3.347 * [backup-simplify]: Simplify 0 into 0 3.347 * [backup-simplify]: Simplify 1 into 1 3.348 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.348 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.349 * [backup-simplify]: Simplify (+ 0 0) into 0 3.349 * [taylor]: Taking taylor expansion of 0 in y 3.349 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.350 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.351 * [backup-simplify]: Simplify (+ 1 0) into 1 3.351 * [taylor]: Taking taylor expansion of 1 in y 3.351 * [backup-simplify]: Simplify 1 into 1 3.351 * [backup-simplify]: Simplify 1 into 1 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify (* 1 1) into 1 3.351 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.354 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.354 * [backup-simplify]: Simplify (+ 0 0) into 0 3.354 * [taylor]: Taking taylor expansion of 0 in y 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.355 * [backup-simplify]: Simplify 0 into 0 3.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.358 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.359 * [backup-simplify]: Simplify (+ 0 0) into 0 3.359 * [taylor]: Taking taylor expansion of 0 in y 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 3.360 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) 3.360 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 3.360 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 3.360 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 3.360 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.360 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.360 * [taylor]: Taking taylor expansion of x in y 3.360 * [backup-simplify]: Simplify x into x 3.360 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.360 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.360 * [taylor]: Taking taylor expansion of x in y 3.360 * [backup-simplify]: Simplify x into x 3.360 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.360 * [taylor]: Taking taylor expansion of y in y 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.361 * [backup-simplify]: Simplify (* 1 1) into 1 3.361 * [backup-simplify]: Simplify (/ 1 1) into 1 3.361 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 3.361 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 3.362 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.362 * [taylor]: Taking taylor expansion of x in x 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [backup-simplify]: Simplify (/ 1 1) into 1 3.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.362 * [taylor]: Taking taylor expansion of x in x 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.363 * [backup-simplify]: Simplify (/ 1 1) into 1 3.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.363 * [taylor]: Taking taylor expansion of y in x 3.363 * [backup-simplify]: Simplify y into y 3.363 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.363 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.363 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 3.363 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 3.363 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.363 * [taylor]: Taking taylor expansion of x in x 3.363 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify 1 into 1 3.364 * [backup-simplify]: Simplify (/ 1 1) into 1 3.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.364 * [taylor]: Taking taylor expansion of x in x 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 1 into 1 3.365 * [backup-simplify]: Simplify (/ 1 1) into 1 3.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.365 * [taylor]: Taking taylor expansion of y in x 3.365 * [backup-simplify]: Simplify y into y 3.365 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.365 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.366 * [backup-simplify]: Simplify (* 1 1) into 1 3.366 * [backup-simplify]: Simplify (+ 1 0) into 1 3.366 * [taylor]: Taking taylor expansion of 1 in y 3.366 * [backup-simplify]: Simplify 1 into 1 3.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.369 * [backup-simplify]: Simplify (+ 0 0) into 0 3.369 * [taylor]: Taking taylor expansion of 0 in y 3.369 * [backup-simplify]: Simplify 0 into 0 3.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.373 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.373 * [taylor]: Taking taylor expansion of y in y 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.374 * [backup-simplify]: Simplify (* 1 1) into 1 3.374 * [backup-simplify]: Simplify (/ 1 1) into 1 3.374 * [backup-simplify]: Simplify 1 into 1 3.374 * [backup-simplify]: Simplify 1 into 1 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.378 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.379 * [backup-simplify]: Simplify (+ 0 0) into 0 3.379 * [taylor]: Taking taylor expansion of 0 in y 3.379 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.385 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.386 * [backup-simplify]: Simplify (+ 0 0) into 0 3.386 * [taylor]: Taking taylor expansion of 0 in y 3.386 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 3.388 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) 3.388 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 3.388 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 3.388 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 3.388 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.388 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.388 * [taylor]: Taking taylor expansion of -1 in y 3.388 * [backup-simplify]: Simplify -1 into -1 3.388 * [taylor]: Taking taylor expansion of x in y 3.388 * [backup-simplify]: Simplify x into x 3.388 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.388 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.388 * [taylor]: Taking taylor expansion of -1 in y 3.388 * [backup-simplify]: Simplify -1 into -1 3.388 * [taylor]: Taking taylor expansion of x in y 3.388 * [backup-simplify]: Simplify x into x 3.388 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.388 * [taylor]: Taking taylor expansion of y in y 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (* 1 1) into 1 3.389 * [backup-simplify]: Simplify (/ 1 1) into 1 3.389 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 3.389 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 3.389 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.389 * [taylor]: Taking taylor expansion of -1 in x 3.389 * [backup-simplify]: Simplify -1 into -1 3.389 * [taylor]: Taking taylor expansion of x in x 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify 1 into 1 3.390 * [backup-simplify]: Simplify (/ -1 1) into -1 3.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.390 * [taylor]: Taking taylor expansion of -1 in x 3.390 * [backup-simplify]: Simplify -1 into -1 3.390 * [taylor]: Taking taylor expansion of x in x 3.390 * [backup-simplify]: Simplify 0 into 0 3.390 * [backup-simplify]: Simplify 1 into 1 3.390 * [backup-simplify]: Simplify (/ -1 1) into -1 3.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.390 * [taylor]: Taking taylor expansion of y in x 3.390 * [backup-simplify]: Simplify y into y 3.390 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.390 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.390 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 3.390 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 3.390 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.390 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.390 * [taylor]: Taking taylor expansion of -1 in x 3.391 * [backup-simplify]: Simplify -1 into -1 3.391 * [taylor]: Taking taylor expansion of x in x 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (/ -1 1) into -1 3.391 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.391 * [taylor]: Taking taylor expansion of -1 in x 3.391 * [backup-simplify]: Simplify -1 into -1 3.391 * [taylor]: Taking taylor expansion of x in x 3.391 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify 1 into 1 3.391 * [backup-simplify]: Simplify (/ -1 1) into -1 3.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.391 * [taylor]: Taking taylor expansion of y in x 3.391 * [backup-simplify]: Simplify y into y 3.391 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.391 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.392 * [backup-simplify]: Simplify (* -1 -1) into 1 3.392 * [backup-simplify]: Simplify (+ 1 0) into 1 3.392 * [taylor]: Taking taylor expansion of 1 in y 3.392 * [backup-simplify]: Simplify 1 into 1 3.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.393 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [taylor]: Taking taylor expansion of 0 in y 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.395 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.396 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.396 * [taylor]: Taking taylor expansion of y in y 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 1 into 1 3.396 * [backup-simplify]: Simplify (* 1 1) into 1 3.396 * [backup-simplify]: Simplify (/ 1 1) into 1 3.396 * [backup-simplify]: Simplify 1 into 1 3.396 * [backup-simplify]: Simplify 1 into 1 3.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.398 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.398 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.399 * [backup-simplify]: Simplify (+ 0 0) into 0 3.399 * [taylor]: Taking taylor expansion of 0 in y 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.402 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.402 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.403 * [backup-simplify]: Simplify (+ 0 0) into 0 3.403 * [taylor]: Taking taylor expansion of 0 in y 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 3.404 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.404 * [backup-simplify]: Simplify (fma y (* x 2) (fma x x (* y y))) into (fma y (* 2 x) (fma x x (pow y 2))) 3.404 * [approximate]: Taking taylor expansion of (fma y (* 2 x) (fma x x (pow y 2))) in (y x) around 0 3.404 * [taylor]: Taking taylor expansion of (fma y (* 2 x) (fma x x (pow y 2))) in x 3.405 * [taylor]: Rewrote expression to (+ (* y (* 2 x)) (fma x x (pow y 2))) 3.405 * [taylor]: Taking taylor expansion of (* y (* 2 x)) in x 3.405 * [taylor]: Taking taylor expansion of y in x 3.405 * [backup-simplify]: Simplify y into y 3.405 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.405 * [taylor]: Taking taylor expansion of 2 in x 3.405 * [backup-simplify]: Simplify 2 into 2 3.405 * [taylor]: Taking taylor expansion of x in x 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 3.405 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 3.405 * [taylor]: Taking taylor expansion of (* x x) in x 3.405 * [taylor]: Taking taylor expansion of x in x 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [taylor]: Taking taylor expansion of x in x 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.405 * [taylor]: Taking taylor expansion of y in x 3.405 * [backup-simplify]: Simplify y into y 3.405 * [taylor]: Taking taylor expansion of (fma y (* 2 x) (fma x x (pow y 2))) in y 3.405 * [taylor]: Rewrote expression to (+ (* y (* 2 x)) (fma x x (pow y 2))) 3.405 * [taylor]: Taking taylor expansion of (* y (* 2 x)) in y 3.405 * [taylor]: Taking taylor expansion of y in y 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.405 * [taylor]: Taking taylor expansion of 2 in y 3.405 * [backup-simplify]: Simplify 2 into 2 3.405 * [taylor]: Taking taylor expansion of x in y 3.405 * [backup-simplify]: Simplify x into x 3.405 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 3.405 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 3.405 * [taylor]: Taking taylor expansion of (* x x) in y 3.405 * [taylor]: Taking taylor expansion of x in y 3.405 * [backup-simplify]: Simplify x into x 3.405 * [taylor]: Taking taylor expansion of x in y 3.405 * [backup-simplify]: Simplify x into x 3.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.405 * [taylor]: Taking taylor expansion of y in y 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [taylor]: Taking taylor expansion of (fma y (* 2 x) (fma x x (pow y 2))) in y 3.406 * [taylor]: Rewrote expression to (+ (* y (* 2 x)) (fma x x (pow y 2))) 3.406 * [taylor]: Taking taylor expansion of (* y (* 2 x)) in y 3.406 * [taylor]: Taking taylor expansion of y in y 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.406 * [taylor]: Taking taylor expansion of 2 in y 3.406 * [backup-simplify]: Simplify 2 into 2 3.406 * [taylor]: Taking taylor expansion of x in y 3.406 * [backup-simplify]: Simplify x into x 3.406 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 3.406 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 3.406 * [taylor]: Taking taylor expansion of (* x x) in y 3.406 * [taylor]: Taking taylor expansion of x in y 3.406 * [backup-simplify]: Simplify x into x 3.406 * [taylor]: Taking taylor expansion of x in y 3.406 * [backup-simplify]: Simplify x into x 3.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.406 * [taylor]: Taking taylor expansion of y in y 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 3.406 * [backup-simplify]: Simplify (* 0 (* 2 x)) into 0 3.406 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.406 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.406 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.406 * [taylor]: Taking taylor expansion of x in x 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 3.407 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* 2 x))) into (* 2 x) 3.407 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.408 * [backup-simplify]: Simplify (+ 0 0) into 0 3.408 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 3.408 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.408 * [taylor]: Taking taylor expansion of 2 in x 3.408 * [backup-simplify]: Simplify 2 into 2 3.408 * [taylor]: Taking taylor expansion of x in x 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 1 into 1 3.408 * [backup-simplify]: Simplify (* 2 0) into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 3.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 x)))) into 0 3.410 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.410 * [backup-simplify]: Simplify (* 1 1) into 1 3.410 * [backup-simplify]: Simplify (+ 0 1) into 1 3.410 * [backup-simplify]: Simplify (+ 0 1) into 1 3.410 * [taylor]: Taking taylor expansion of 1 in x 3.410 * [backup-simplify]: Simplify 1 into 1 3.410 * [backup-simplify]: Simplify 1 into 1 3.411 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.411 * [backup-simplify]: Simplify 2 into 2 3.411 * [backup-simplify]: Simplify (* 1 1) into 1 3.411 * [backup-simplify]: Simplify 1 into 1 3.411 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 3.412 * [backup-simplify]: Simplify (fma (/ 1 y) (* (/ 1 x) 2) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (fma (/ 1 y) (/ 2 x) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 3.412 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (/ 2 x) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in (y x) around 0 3.412 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 2 x) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 3.412 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 2 x)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 3.412 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 2 x)) in x 3.412 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.412 * [taylor]: Taking taylor expansion of y in x 3.412 * [backup-simplify]: Simplify y into y 3.412 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.412 * [taylor]: Taking taylor expansion of (/ 2 x) in x 3.412 * [taylor]: Taking taylor expansion of 2 in x 3.412 * [backup-simplify]: Simplify 2 into 2 3.412 * [taylor]: Taking taylor expansion of x in x 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.412 * [backup-simplify]: Simplify (/ 2 1) into 2 3.412 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 3.413 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 3.413 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.413 * [taylor]: Taking taylor expansion of x in x 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [backup-simplify]: Simplify (/ 1 1) into 1 3.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.413 * [taylor]: Taking taylor expansion of x in x 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.413 * [backup-simplify]: Simplify (/ 1 1) into 1 3.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.413 * [taylor]: Taking taylor expansion of y in x 3.413 * [backup-simplify]: Simplify y into y 3.413 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.413 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.414 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 2 x) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y 3.414 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 2 x)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 3.414 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 2 x)) in y 3.414 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.414 * [taylor]: Taking taylor expansion of y in y 3.414 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (/ 1 1) into 1 3.414 * [taylor]: Taking taylor expansion of (/ 2 x) in y 3.414 * [taylor]: Taking taylor expansion of 2 in y 3.414 * [backup-simplify]: Simplify 2 into 2 3.414 * [taylor]: Taking taylor expansion of x in y 3.414 * [backup-simplify]: Simplify x into x 3.414 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 3.414 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 3.414 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 3.414 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.415 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.415 * [taylor]: Taking taylor expansion of x in y 3.415 * [backup-simplify]: Simplify x into x 3.415 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.415 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.415 * [taylor]: Taking taylor expansion of x in y 3.415 * [backup-simplify]: Simplify x into x 3.415 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.415 * [taylor]: Taking taylor expansion of y in y 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.416 * [backup-simplify]: Simplify (* 1 1) into 1 3.416 * [backup-simplify]: Simplify (/ 1 1) into 1 3.416 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 2 x) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y 3.416 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 2 x)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 3.416 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 2 x)) in y 3.416 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.416 * [taylor]: Taking taylor expansion of y in y 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify 1 into 1 3.417 * [backup-simplify]: Simplify (/ 1 1) into 1 3.417 * [taylor]: Taking taylor expansion of (/ 2 x) in y 3.417 * [taylor]: Taking taylor expansion of 2 in y 3.417 * [backup-simplify]: Simplify 2 into 2 3.417 * [taylor]: Taking taylor expansion of x in y 3.417 * [backup-simplify]: Simplify x into x 3.417 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 3.417 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 3.417 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 3.417 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.417 * [taylor]: Taking taylor expansion of x in y 3.417 * [backup-simplify]: Simplify x into x 3.417 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.418 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.418 * [taylor]: Taking taylor expansion of x in y 3.418 * [backup-simplify]: Simplify x into x 3.418 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.418 * [taylor]: Taking taylor expansion of y in y 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 1 into 1 3.418 * [backup-simplify]: Simplify (* 1 1) into 1 3.419 * [backup-simplify]: Simplify (/ 1 1) into 1 3.419 * [backup-simplify]: Simplify (+ 0 1) into 1 3.420 * [backup-simplify]: Simplify (+ 0 1) into 1 3.420 * [taylor]: Taking taylor expansion of 1 in x 3.420 * [backup-simplify]: Simplify 1 into 1 3.420 * [backup-simplify]: Simplify (* 1 (/ 2 x)) into (/ 2 x) 3.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.422 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x)) 3.422 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.422 * [taylor]: Taking taylor expansion of 2 in x 3.422 * [backup-simplify]: Simplify 2 into 2 3.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.422 * [taylor]: Taking taylor expansion of x in x 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (/ 1 1) into 1 3.423 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ 2 x))) into 0 3.425 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 3.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.427 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.427 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.427 * [taylor]: Taking taylor expansion of x in x 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.428 * [backup-simplify]: Simplify (* 1 1) into 1 3.428 * [backup-simplify]: Simplify (/ 1 1) into 1 3.428 * [backup-simplify]: Simplify 1 into 1 3.429 * [backup-simplify]: Simplify (* 2 1) into 2 3.429 * [backup-simplify]: Simplify 2 into 2 3.429 * [backup-simplify]: Simplify 1 into 1 3.430 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 3.430 * [backup-simplify]: Simplify (fma (/ 1 (- y)) (* (/ 1 (- x)) 2) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (fma (/ -1 y) (/ -2 x) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 3.430 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (/ -2 x) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in (y x) around 0 3.430 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -2 x) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 3.430 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -2 x)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 3.431 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -2 x)) in x 3.431 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.431 * [taylor]: Taking taylor expansion of -1 in x 3.431 * [backup-simplify]: Simplify -1 into -1 3.431 * [taylor]: Taking taylor expansion of y in x 3.431 * [backup-simplify]: Simplify y into y 3.431 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 3.431 * [taylor]: Taking taylor expansion of (/ -2 x) in x 3.431 * [taylor]: Taking taylor expansion of -2 in x 3.431 * [backup-simplify]: Simplify -2 into -2 3.431 * [taylor]: Taking taylor expansion of x in x 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (/ -2 1) into -2 3.432 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 3.432 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 3.432 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.432 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.432 * [taylor]: Taking taylor expansion of -1 in x 3.432 * [backup-simplify]: Simplify -1 into -1 3.432 * [taylor]: Taking taylor expansion of x in x 3.432 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (/ -1 1) into -1 3.433 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.433 * [taylor]: Taking taylor expansion of -1 in x 3.433 * [backup-simplify]: Simplify -1 into -1 3.433 * [taylor]: Taking taylor expansion of x in x 3.433 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify 1 into 1 3.433 * [backup-simplify]: Simplify (/ -1 1) into -1 3.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.433 * [taylor]: Taking taylor expansion of y in x 3.434 * [backup-simplify]: Simplify y into y 3.434 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.434 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.434 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -2 x) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y 3.434 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -2 x)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 3.434 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -2 x)) in y 3.434 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.434 * [taylor]: Taking taylor expansion of -1 in y 3.434 * [backup-simplify]: Simplify -1 into -1 3.434 * [taylor]: Taking taylor expansion of y in y 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.435 * [backup-simplify]: Simplify (/ -1 1) into -1 3.435 * [taylor]: Taking taylor expansion of (/ -2 x) in y 3.435 * [taylor]: Taking taylor expansion of -2 in y 3.435 * [backup-simplify]: Simplify -2 into -2 3.435 * [taylor]: Taking taylor expansion of x in y 3.435 * [backup-simplify]: Simplify x into x 3.435 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 3.435 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 3.435 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 3.435 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.435 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.435 * [taylor]: Taking taylor expansion of -1 in y 3.435 * [backup-simplify]: Simplify -1 into -1 3.435 * [taylor]: Taking taylor expansion of x in y 3.435 * [backup-simplify]: Simplify x into x 3.436 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.436 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.436 * [taylor]: Taking taylor expansion of -1 in y 3.436 * [backup-simplify]: Simplify -1 into -1 3.436 * [taylor]: Taking taylor expansion of x in y 3.436 * [backup-simplify]: Simplify x into x 3.436 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.436 * [taylor]: Taking taylor expansion of y in y 3.436 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (* 1 1) into 1 3.437 * [backup-simplify]: Simplify (/ 1 1) into 1 3.437 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -2 x) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y 3.437 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -2 x)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 3.437 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -2 x)) in y 3.437 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.437 * [taylor]: Taking taylor expansion of -1 in y 3.437 * [backup-simplify]: Simplify -1 into -1 3.437 * [taylor]: Taking taylor expansion of y in y 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.438 * [backup-simplify]: Simplify (/ -1 1) into -1 3.438 * [taylor]: Taking taylor expansion of (/ -2 x) in y 3.438 * [taylor]: Taking taylor expansion of -2 in y 3.438 * [backup-simplify]: Simplify -2 into -2 3.438 * [taylor]: Taking taylor expansion of x in y 3.438 * [backup-simplify]: Simplify x into x 3.438 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 3.438 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 3.438 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 3.438 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.438 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.438 * [taylor]: Taking taylor expansion of -1 in y 3.438 * [backup-simplify]: Simplify -1 into -1 3.438 * [taylor]: Taking taylor expansion of x in y 3.438 * [backup-simplify]: Simplify x into x 3.438 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.438 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.438 * [taylor]: Taking taylor expansion of -1 in y 3.439 * [backup-simplify]: Simplify -1 into -1 3.439 * [taylor]: Taking taylor expansion of x in y 3.439 * [backup-simplify]: Simplify x into x 3.439 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.439 * [taylor]: Taking taylor expansion of y in y 3.439 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify 1 into 1 3.439 * [backup-simplify]: Simplify (* 1 1) into 1 3.440 * [backup-simplify]: Simplify (/ 1 1) into 1 3.440 * [backup-simplify]: Simplify (+ 0 1) into 1 3.441 * [backup-simplify]: Simplify (+ 0 1) into 1 3.441 * [taylor]: Taking taylor expansion of 1 in x 3.441 * [backup-simplify]: Simplify 1 into 1 3.441 * [backup-simplify]: Simplify (* -1 (/ -2 x)) into (/ 2 x) 3.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (+ 0 0) into 0 3.444 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x)) 3.444 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.444 * [taylor]: Taking taylor expansion of 2 in x 3.444 * [backup-simplify]: Simplify 2 into 2 3.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.444 * [taylor]: Taking taylor expansion of x in x 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 1 into 1 3.444 * [backup-simplify]: Simplify (/ 1 1) into 1 3.445 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 3.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.446 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ -2 x))) into 0 3.446 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 3.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.449 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.449 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.449 * [taylor]: Taking taylor expansion of x in x 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.450 * [backup-simplify]: Simplify (* 1 1) into 1 3.450 * [backup-simplify]: Simplify (/ 1 1) into 1 3.450 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (* 2 1) into 2 3.451 * [backup-simplify]: Simplify 2 into 2 3.451 * [backup-simplify]: Simplify 1 into 1 3.452 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 3.452 * * * [progress]: simplifying candidates 3.453 * [simplify]: Simplifying: (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y))) (expm1 (fma y (* x 2) (fma x x (* y y)))) (log1p (fma y (* x 2) (fma x x (* y y)))) (* y (* x 2)) (log (fma y (* x 2) (fma x x (* y y)))) (exp (fma y (* x 2) (fma x x (* y y)))) (* (cbrt (fma y (* x 2) (fma x x (* y y)))) (cbrt (fma y (* x 2) (fma x x (* y y))))) (cbrt (fma y (* x 2) (fma x x (* y y)))) (* (* (fma y (* x 2) (fma x x (* y y))) (fma y (* x 2) (fma x x (* y y)))) (fma y (* x 2) (fma x x (* y y)))) (sqrt (fma y (* x 2) (fma x x (* y y)))) (sqrt (fma y (* x 2) (fma x x (* y y)))) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 3.453 * * [simplify]: iteration 0: 34 enodes 3.466 * * [simplify]: iteration 1: 53 enodes 3.490 * * [simplify]: iteration 2: 120 enodes 3.543 * * [simplify]: iteration 3: 389 enodes 3.803 * * [simplify]: iteration 4: 1590 enodes 4.655 * * [simplify]: iteration complete: 5001 enodes 4.655 * * [simplify]: Extracting #0: cost 20 inf + 0 4.656 * * [simplify]: Extracting #1: cost 153 inf + 0 4.659 * * [simplify]: Extracting #2: cost 745 inf + 128 4.669 * * [simplify]: Extracting #3: cost 1094 inf + 21580 4.750 * * [simplify]: Extracting #4: cost 336 inf + 214143 4.877 * * [simplify]: Extracting #5: cost 30 inf + 301763 5.034 * * [simplify]: Extracting #6: cost 0 inf + 308741 5.151 * [simplify]: Simplified to: (expm1 (fma y y (* x x))) (log1p (fma y y (* x x))) (* x x) (log (fma y y (* x x))) (exp (fma y y (* x x))) (* (cbrt (fma y y (* x x))) (cbrt (fma y y (* x x)))) (cbrt (fma y y (* x x))) (* (* (fma y y (* x x)) (fma y y (* x x))) (fma y y (* x x))) (hypot x y) (hypot x y) (expm1 (fma y y (* x (+ x (* y 2))))) (log1p (fma y y (* x (+ x (* y 2))))) (* x (* y 2)) (log (fma y y (* x (+ x (* y 2))))) (exp (fma y y (* x (+ x (* y 2))))) (* (cbrt (fma y y (* x (+ x (* y 2))))) (cbrt (fma y y (* x (+ x (* y 2)))))) (cbrt (fma y y (* x (+ x (* y 2))))) (* (fma y y (* x (+ x (* y 2)))) (* (fma y y (* x (+ x (* y 2)))) (fma y y (* x (+ x (* y 2)))))) (sqrt (fma y y (* x (+ x (* y 2))))) (sqrt (fma y y (* x (+ x (* y 2))))) (fma y y (* x x)) (fma y y (* x x)) (fma y y (* x x)) (fma y y (* x (+ x (* y 2)))) (fma y y (* x (+ x (* y 2)))) (fma y y (* x (+ x (* y 2)))) 5.153 * * * [progress]: adding candidates to table 5.296 * * [progress]: iteration 3 / 4 5.296 * * * [progress]: picking best candidate 5.299 * * * * [pick]: Picked # 5.300 * * * [progress]: localizing error 5.315 * * * [progress]: generating rewritten candidates 5.315 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 5.338 * * * [progress]: generating series expansions 5.338 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 5.338 * [backup-simplify]: Simplify (* x (+ x (* y 2))) into (* x (+ x (* 2 y))) 5.338 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 5.339 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 5.339 * [taylor]: Taking taylor expansion of x in y 5.339 * [backup-simplify]: Simplify x into x 5.339 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 5.339 * [taylor]: Taking taylor expansion of x in y 5.339 * [backup-simplify]: Simplify x into x 5.339 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.339 * [taylor]: Taking taylor expansion of 2 in y 5.339 * [backup-simplify]: Simplify 2 into 2 5.339 * [taylor]: Taking taylor expansion of y in y 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 5.339 * [taylor]: Taking taylor expansion of x in x 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 5.339 * [taylor]: Taking taylor expansion of x in x 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [taylor]: Taking taylor expansion of (* 2 y) in x 5.339 * [taylor]: Taking taylor expansion of 2 in x 5.339 * [backup-simplify]: Simplify 2 into 2 5.339 * [taylor]: Taking taylor expansion of y in x 5.339 * [backup-simplify]: Simplify y into y 5.339 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 5.339 * [taylor]: Taking taylor expansion of x in x 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 5.339 * [taylor]: Taking taylor expansion of x in x 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [taylor]: Taking taylor expansion of (* 2 y) in x 5.339 * [taylor]: Taking taylor expansion of 2 in x 5.339 * [backup-simplify]: Simplify 2 into 2 5.339 * [taylor]: Taking taylor expansion of y in x 5.339 * [backup-simplify]: Simplify y into y 5.340 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 5.340 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 5.340 * [backup-simplify]: Simplify (* 0 (* 2 y)) into 0 5.340 * [taylor]: Taking taylor expansion of 0 in y 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 5.341 * [backup-simplify]: Simplify (+ 1 0) into 1 5.342 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 y))) into (* 2 y) 5.342 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.342 * [taylor]: Taking taylor expansion of 2 in y 5.342 * [backup-simplify]: Simplify 2 into 2 5.342 * [taylor]: Taking taylor expansion of y in y 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (* 2 0) into 0 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 5.344 * [backup-simplify]: Simplify (+ 0 0) into 0 5.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 y)))) into 1 5.349 * [taylor]: Taking taylor expansion of 1 in y 5.349 * [backup-simplify]: Simplify 1 into 1 5.349 * [backup-simplify]: Simplify 1 into 1 5.350 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.350 * [backup-simplify]: Simplify 2 into 2 5.350 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.352 * [backup-simplify]: Simplify (+ 0 0) into 0 5.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2 y))))) into 0 5.353 * [taylor]: Taking taylor expansion of 0 in y 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 5.354 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.357 * [backup-simplify]: Simplify (+ 0 0) into 0 5.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2 y)))))) into 0 5.358 * [taylor]: Taking taylor expansion of 0 in y 5.358 * [backup-simplify]: Simplify 0 into 0 5.358 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (* x y))) 5.359 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2))) into (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) 5.359 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in (x y) around 0 5.359 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in y 5.359 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 5.359 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.359 * [taylor]: Taking taylor expansion of x in y 5.359 * [backup-simplify]: Simplify x into x 5.359 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.359 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.359 * [taylor]: Taking taylor expansion of 2 in y 5.359 * [backup-simplify]: Simplify 2 into 2 5.359 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.359 * [taylor]: Taking taylor expansion of y in y 5.359 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify 1 into 1 5.360 * [backup-simplify]: Simplify (/ 1 1) into 1 5.360 * [taylor]: Taking taylor expansion of x in y 5.360 * [backup-simplify]: Simplify x into x 5.360 * [backup-simplify]: Simplify (* 2 1) into 2 5.361 * [backup-simplify]: Simplify (+ 0 2) into 2 5.361 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 5.361 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 5.361 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 5.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.361 * [taylor]: Taking taylor expansion of x in x 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 1 into 1 5.361 * [backup-simplify]: Simplify (/ 1 1) into 1 5.361 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.361 * [taylor]: Taking taylor expansion of 2 in x 5.361 * [backup-simplify]: Simplify 2 into 2 5.361 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.361 * [taylor]: Taking taylor expansion of y in x 5.362 * [backup-simplify]: Simplify y into y 5.362 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.362 * [taylor]: Taking taylor expansion of x in x 5.362 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify 1 into 1 5.362 * [backup-simplify]: Simplify (+ 1 0) into 1 5.362 * [backup-simplify]: Simplify (/ 1 1) into 1 5.362 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 5.363 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 5.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.363 * [taylor]: Taking taylor expansion of x in x 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify 1 into 1 5.363 * [backup-simplify]: Simplify (/ 1 1) into 1 5.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.363 * [taylor]: Taking taylor expansion of 2 in x 5.363 * [backup-simplify]: Simplify 2 into 2 5.363 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.363 * [taylor]: Taking taylor expansion of y in x 5.363 * [backup-simplify]: Simplify y into y 5.363 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.363 * [taylor]: Taking taylor expansion of x in x 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify 1 into 1 5.364 * [backup-simplify]: Simplify (+ 1 0) into 1 5.364 * [backup-simplify]: Simplify (/ 1 1) into 1 5.364 * [taylor]: Taking taylor expansion of 1 in y 5.364 * [backup-simplify]: Simplify 1 into 1 5.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.365 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.365 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 5.366 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 5.366 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.366 * [taylor]: Taking taylor expansion of 2 in y 5.366 * [backup-simplify]: Simplify 2 into 2 5.366 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.367 * [taylor]: Taking taylor expansion of y in y 5.367 * [backup-simplify]: Simplify 0 into 0 5.367 * [backup-simplify]: Simplify 1 into 1 5.367 * [backup-simplify]: Simplify (/ 1 1) into 1 5.367 * [backup-simplify]: Simplify (* 2 1) into 2 5.368 * [backup-simplify]: Simplify 2 into 2 5.368 * [backup-simplify]: Simplify 1 into 1 5.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.369 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.370 * [backup-simplify]: Simplify (+ 0 0) into 0 5.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 5.371 * [taylor]: Taking taylor expansion of 0 in y 5.371 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.373 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.373 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify 0 into 0 5.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.375 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.375 * [backup-simplify]: Simplify (+ 0 0) into 0 5.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.378 * [taylor]: Taking taylor expansion of 0 in y 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.380 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.382 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 5.383 * [backup-simplify]: Simplify (+ 0 0) into 0 5.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.384 * [taylor]: Taking taylor expansion of 0 in y 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2 (* x y))) 5.385 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2))) into (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) 5.385 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in (x y) around 0 5.385 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in y 5.385 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 5.385 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.385 * [taylor]: Taking taylor expansion of x in y 5.385 * [backup-simplify]: Simplify x into x 5.385 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.385 * [taylor]: Taking taylor expansion of 2 in y 5.385 * [backup-simplify]: Simplify 2 into 2 5.385 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.385 * [taylor]: Taking taylor expansion of y in y 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.385 * [backup-simplify]: Simplify (/ 1 1) into 1 5.385 * [taylor]: Taking taylor expansion of x in y 5.385 * [backup-simplify]: Simplify x into x 5.386 * [backup-simplify]: Simplify (* 2 1) into 2 5.386 * [backup-simplify]: Simplify (+ 0 2) into 2 5.386 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 5.386 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 5.386 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 5.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.386 * [taylor]: Taking taylor expansion of x in x 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (/ 1 1) into 1 5.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.386 * [taylor]: Taking taylor expansion of 2 in x 5.386 * [backup-simplify]: Simplify 2 into 2 5.386 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.386 * [taylor]: Taking taylor expansion of y in x 5.387 * [backup-simplify]: Simplify y into y 5.387 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.387 * [taylor]: Taking taylor expansion of x in x 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [backup-simplify]: Simplify (+ 1 0) into 1 5.387 * [backup-simplify]: Simplify (/ 1 1) into 1 5.387 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 5.387 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 5.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.387 * [taylor]: Taking taylor expansion of x in x 5.387 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify 1 into 1 5.387 * [backup-simplify]: Simplify (/ 1 1) into 1 5.387 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.388 * [taylor]: Taking taylor expansion of 2 in x 5.388 * [backup-simplify]: Simplify 2 into 2 5.388 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.388 * [taylor]: Taking taylor expansion of y in x 5.388 * [backup-simplify]: Simplify y into y 5.388 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.388 * [taylor]: Taking taylor expansion of x in x 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 1 into 1 5.388 * [backup-simplify]: Simplify (+ 1 0) into 1 5.388 * [backup-simplify]: Simplify (/ 1 1) into 1 5.388 * [taylor]: Taking taylor expansion of 1 in y 5.388 * [backup-simplify]: Simplify 1 into 1 5.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.389 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.389 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 5.389 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 5.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.389 * [taylor]: Taking taylor expansion of 2 in y 5.389 * [backup-simplify]: Simplify 2 into 2 5.389 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.389 * [taylor]: Taking taylor expansion of y in y 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.390 * [backup-simplify]: Simplify (/ 1 1) into 1 5.390 * [backup-simplify]: Simplify (* 2 1) into 2 5.390 * [backup-simplify]: Simplify 2 into 2 5.390 * [backup-simplify]: Simplify 1 into 1 5.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.391 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.391 * [backup-simplify]: Simplify (+ 0 0) into 0 5.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 5.392 * [taylor]: Taking taylor expansion of 0 in y 5.392 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.393 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.395 * [backup-simplify]: Simplify (+ 0 0) into 0 5.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.396 * [taylor]: Taking taylor expansion of 0 in y 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.397 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.397 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify 0 into 0 5.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.399 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 5.399 * [backup-simplify]: Simplify (+ 0 0) into 0 5.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.400 * [taylor]: Taking taylor expansion of 0 in y 5.400 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify 0 into 0 5.401 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2 (* x y))) 5.401 * * * [progress]: simplifying candidates 5.401 * [simplify]: Simplifying: (expm1 (* x (+ x (* y 2)))) (log1p (* x (+ x (* y 2)))) (* x (+ x (* y 2))) (+ (log x) (log (+ x (* y 2)))) (log (* x (+ x (* y 2)))) (exp (* x (+ x (* y 2)))) (* (* (* x x) x) (* (* (+ x (* y 2)) (+ x (* y 2))) (+ x (* y 2)))) (* (cbrt (* x (+ x (* y 2)))) (cbrt (* x (+ x (* y 2))))) (cbrt (* x (+ x (* y 2)))) (* (* (* x (+ x (* y 2))) (* x (+ x (* y 2)))) (* x (+ x (* y 2)))) (sqrt (* x (+ x (* y 2)))) (sqrt (* x (+ x (* y 2)))) (* (sqrt x) (sqrt (+ x (* y 2)))) (* (sqrt x) (sqrt (+ x (* y 2)))) (* x x) (* x (* y 2)) (* x x) (* (* y 2) x) (* x (* (cbrt (+ x (* y 2))) (cbrt (+ x (* y 2))))) (* x (sqrt (+ x (* y 2)))) (* x 1) (* (cbrt x) (+ x (* y 2))) (* (sqrt x) (+ x (* y 2))) (* x (+ x (* y 2))) (* x (+ (pow x 3) (pow (* y 2) 3))) (* x (- (* x x) (* (* y 2) (* y 2)))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) 5.402 * * [simplify]: iteration 0: 49 enodes 5.416 * * [simplify]: iteration 1: 162 enodes 5.500 * * [simplify]: iteration 2: 675 enodes 6.556 * * [simplify]: iteration 3: 3800 enodes 8.332 * * [simplify]: iteration complete: 5000 enodes 8.333 * * [simplify]: Extracting #0: cost 19 inf + 0 8.334 * * [simplify]: Extracting #1: cost 267 inf + 1 8.344 * * [simplify]: Extracting #2: cost 679 inf + 12124 8.371 * * [simplify]: Extracting #3: cost 330 inf + 81707 8.441 * * [simplify]: Extracting #4: cost 21 inf + 152227 8.502 * * [simplify]: Extracting #5: cost 0 inf + 159431 8.557 * [simplify]: Simplified to: (expm1 (* (fma y 2 x) x)) (log1p (* (fma y 2 x) x)) (* (fma y 2 x) x) (log (* (fma y 2 x) x)) (log (* (fma y 2 x) x)) (exp (* (fma y 2 x) x)) (* (* (fma y 2 x) x) (* (* (fma y 2 x) x) (* (fma y 2 x) x))) (* (cbrt (* (fma y 2 x) x)) (cbrt (* (fma y 2 x) x))) (cbrt (* (fma y 2 x) x)) (* (* (fma y 2 x) x) (* (* (fma y 2 x) x) (* (fma y 2 x) x))) (sqrt (* (fma y 2 x) x)) (sqrt (* (fma y 2 x) x)) (* (sqrt (fma y 2 x)) (sqrt x)) (* (sqrt (fma y 2 x)) (sqrt x)) (* x x) (* (* 2 y) x) (* x x) (* (* 2 y) x) (* (cbrt (fma y 2 x)) (* (cbrt (fma y 2 x)) x)) (* x (sqrt (fma y 2 x))) x (* (cbrt x) (fma y 2 x)) (* (sqrt x) (fma y 2 x)) (* (fma y 2 x) x) (fma (* x x) (* x x) (* (* 2 y) (* (* 2 y) (* (* 2 y) x)))) (* x (fma y (* -4 y) (* x x))) (* (fma y 2 x) x) (* (fma y 2 x) x) (* (fma y 2 x) x) 8.558 * * * [progress]: adding candidates to table 8.655 * [progress]: [Phase 3 of 3] Extracting. 8.659 * [simplify]: Simplifying: (fma y y (* x (+ x (* y 2)))) 8.659 * * [simplify]: iteration 0: 7 enodes 8.659 * * [simplify]: iteration 1: 10 enodes 8.660 * * [simplify]: iteration complete: 10 enodes 8.660 * * [simplify]: Extracting #0: cost 1 inf + 0 8.660 * * [simplify]: Extracting #1: cost 3 inf + 0 8.660 * * [simplify]: Extracting #2: cost 4 inf + 1 8.660 * * [simplify]: Extracting #3: cost 4 inf + 2 8.660 * * [simplify]: Extracting #4: cost 5 inf + 2 8.660 * * [simplify]: Extracting #5: cost 0 inf + 429 8.660 * [simplify]: Simplified to: (fma y y (* x (+ x (* y 2)))) 10.199 * [regime-testing]: Baseline error score: 0.006489172471009941 10.213 * [regime-testing]: Oracle error score: 0.006489172471009941 10.213 * [regime-testing]: End program error score: 0.006489172471009941 10.297 * [regime-testing]: Target error score: 0.014074879672549214