32.121 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.041 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.041 * * [simplify]: iteration 0: 4 enodes 0.043 * * [simplify]: iteration 1: 11 enodes 0.046 * * [simplify]: iteration 2: 27 enodes 0.052 * * [simplify]: iteration 3: 65 enodes 0.062 * * [simplify]: iteration 4: 105 enodes 0.077 * * [simplify]: iteration 5: 131 enodes 0.098 * * [simplify]: iteration 6: 153 enodes 0.114 * * [simplify]: iteration 7: 167 enodes 0.128 * * [simplify]: iteration complete: 167 enodes 0.128 * * [simplify]: Extracting #0: cost 1 inf + 0 0.128 * * [simplify]: Extracting #1: cost 19 inf + 0 0.128 * * [simplify]: Extracting #2: cost 14 inf + 85 0.129 * * [simplify]: Extracting #3: cost 0 inf + 1203 0.129 * * [simplify]: Extracting #4: cost 0 inf + 1125 0.130 * [simplify]: Simplified to: (* (+ y x) (+ y x)) 0.131 * * [progress]: iteration 1 / 4 0.131 * * * [progress]: picking best candidate 0.134 * * * * [pick]: Picked # 0.134 * * * [progress]: localizing error 0.139 * * * [progress]: generating rewritten candidates 0.139 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.195 * * * [progress]: generating series expansions 0.195 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.195 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.195 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.195 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.195 * [taylor]: Taking taylor expansion of (+ x y) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [backup-simplify]: Simplify x into x 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (+ x 0) into x 0.195 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.195 * [taylor]: Taking taylor expansion of (+ x y) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [backup-simplify]: Simplify y into y 0.196 * [backup-simplify]: Simplify (+ 0 y) into y 0.196 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.196 * [taylor]: Taking taylor expansion of (+ x y) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [backup-simplify]: Simplify y into y 0.196 * [backup-simplify]: Simplify (+ 0 y) into y 0.196 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (+ 1 0) into 1 0.197 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.197 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.197 * [taylor]: Taking taylor expansion of 2 in y 0.197 * [backup-simplify]: Simplify 2 into 2 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 2 0) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.199 * [taylor]: Taking taylor expansion of 1 in y 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.200 * [backup-simplify]: Simplify 2 into 2 0.200 * [backup-simplify]: Simplify (* 1 1) into 1 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [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)))) 0.201 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.201 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [backup-simplify]: Simplify x into x 0.202 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.202 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (+ 0 1) into 1 0.203 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.204 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [backup-simplify]: Simplify y into y 0.205 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.205 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of 1 in y 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.207 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.207 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.207 * [taylor]: Taking taylor expansion of 2 in y 0.207 * [backup-simplify]: Simplify 2 into 2 0.207 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* 2 1) into 2 0.212 * [backup-simplify]: Simplify 2 into 2 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [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)))) 0.213 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.214 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [backup-simplify]: Simplify x into x 0.214 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (+ 0 1) into 1 0.215 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [backup-simplify]: Simplify y into y 0.216 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.216 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [backup-simplify]: Simplify y into y 0.217 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.217 * [backup-simplify]: Simplify (+ 1 0) into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [taylor]: Taking taylor expansion of 1 in y 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.219 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.219 * [taylor]: Taking taylor expansion of 2 in y 0.219 * [backup-simplify]: Simplify 2 into 2 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (* 2 1) into 2 0.224 * [backup-simplify]: Simplify 2 into 2 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [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)))) 0.225 * * * [progress]: simplifying candidates 0.226 * [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)))) 0.227 * * [simplify]: iteration 0: 64 enodes 0.260 * * [simplify]: iteration 1: 231 enodes 0.400 * * [simplify]: iteration 2: 832 enodes 1.257 * * [simplify]: iteration 3: 4150 enodes 2.705 * * [simplify]: iteration complete: 5000 enodes 2.705 * * [simplify]: Extracting #0: cost 27 inf + 0 2.706 * * [simplify]: Extracting #1: cost 382 inf + 2 2.712 * * [simplify]: Extracting #2: cost 1248 inf + 7366 2.753 * * [simplify]: Extracting #3: cost 579 inf + 145758 2.805 * * [simplify]: Extracting #4: cost 73 inf + 231622 2.888 * * [simplify]: Extracting #5: cost 4 inf + 253915 2.950 * * [simplify]: Extracting #6: cost 0 inf + 255135 3.032 * [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))) 3.035 * * * [progress]: adding candidates to table 3.167 * * [progress]: iteration 2 / 4 3.167 * * * [progress]: picking best candidate 3.177 * * * * [pick]: Picked # 3.177 * * * [progress]: localizing error 3.188 * * * [progress]: generating rewritten candidates 3.189 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 3.189 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.190 * * * [progress]: generating series expansions 3.190 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 3.190 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2)) 3.190 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 3.190 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 3.190 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 3.190 * [taylor]: Taking taylor expansion of (* x x) in y 3.190 * [taylor]: Taking taylor expansion of x in y 3.190 * [backup-simplify]: Simplify x into x 3.190 * [taylor]: Taking taylor expansion of x in y 3.190 * [backup-simplify]: Simplify x into x 3.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.190 * [taylor]: Taking taylor expansion of y in y 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.190 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 3.191 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 3.191 * [taylor]: Taking taylor expansion of (* x x) in x 3.191 * [taylor]: Taking taylor expansion of x in x 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [taylor]: Taking taylor expansion of x in x 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.191 * [taylor]: Taking taylor expansion of y in x 3.191 * [backup-simplify]: Simplify y into y 3.191 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 3.191 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 3.191 * [taylor]: Taking taylor expansion of (* x x) in x 3.191 * [taylor]: Taking taylor expansion of x in x 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [taylor]: Taking taylor expansion of x in x 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.191 * [taylor]: Taking taylor expansion of y in x 3.191 * [backup-simplify]: Simplify y into y 3.192 * [backup-simplify]: Simplify (* 0 0) into 0 3.192 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.192 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.192 * [taylor]: Taking taylor expansion of y in y 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.192 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.193 * [backup-simplify]: Simplify (+ 0 0) into 0 3.193 * [taylor]: Taking taylor expansion of 0 in y 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.194 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.194 * [backup-simplify]: Simplify (+ 1 0) into 1 3.194 * [taylor]: Taking taylor expansion of 1 in y 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify 1 into 1 3.194 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify (* 1 1) into 1 3.194 * [backup-simplify]: Simplify 1 into 1 3.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.195 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.196 * [backup-simplify]: Simplify (+ 0 0) into 0 3.196 * [taylor]: Taking taylor expansion of 0 in y 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.196 * [backup-simplify]: Simplify 0 into 0 3.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.198 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.199 * [backup-simplify]: Simplify (+ 0 0) into 0 3.199 * [taylor]: Taking taylor expansion of 0 in y 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 3.199 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) 3.199 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 3.199 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 3.199 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 3.200 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.200 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.200 * [taylor]: Taking taylor expansion of x in y 3.200 * [backup-simplify]: Simplify x into x 3.200 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.200 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.200 * [taylor]: Taking taylor expansion of x in y 3.200 * [backup-simplify]: Simplify x into x 3.200 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.200 * [taylor]: Taking taylor expansion of y in y 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (* 1 1) into 1 3.201 * [backup-simplify]: Simplify (/ 1 1) into 1 3.201 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 3.201 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 3.201 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.201 * [taylor]: Taking taylor expansion of x in x 3.201 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify 1 into 1 3.201 * [backup-simplify]: Simplify (/ 1 1) into 1 3.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.201 * [taylor]: Taking taylor expansion of x in x 3.201 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify 1 into 1 3.202 * [backup-simplify]: Simplify (/ 1 1) into 1 3.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.202 * [taylor]: Taking taylor expansion of y in x 3.202 * [backup-simplify]: Simplify y into y 3.202 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.202 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.202 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 3.202 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 3.202 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.202 * [taylor]: Taking taylor expansion of x in x 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 1 into 1 3.203 * [backup-simplify]: Simplify (/ 1 1) into 1 3.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.203 * [taylor]: Taking taylor expansion of x in x 3.203 * [backup-simplify]: Simplify 0 into 0 3.203 * [backup-simplify]: Simplify 1 into 1 3.203 * [backup-simplify]: Simplify (/ 1 1) into 1 3.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.203 * [taylor]: Taking taylor expansion of y in x 3.203 * [backup-simplify]: Simplify y into y 3.203 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.203 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.204 * [backup-simplify]: Simplify (* 1 1) into 1 3.204 * [backup-simplify]: Simplify (+ 1 0) into 1 3.204 * [taylor]: Taking taylor expansion of 1 in y 3.204 * [backup-simplify]: Simplify 1 into 1 3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.206 * [backup-simplify]: Simplify (+ 0 0) into 0 3.206 * [taylor]: Taking taylor expansion of 0 in y 3.206 * [backup-simplify]: Simplify 0 into 0 3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.209 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.209 * [taylor]: Taking taylor expansion of y in y 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 1 into 1 3.209 * [backup-simplify]: Simplify (* 1 1) into 1 3.210 * [backup-simplify]: Simplify (/ 1 1) into 1 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [backup-simplify]: Simplify 1 into 1 3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.212 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.213 * [backup-simplify]: Simplify (+ 0 0) into 0 3.213 * [taylor]: Taking taylor expansion of 0 in y 3.213 * [backup-simplify]: Simplify 0 into 0 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.217 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.218 * [backup-simplify]: Simplify (+ 0 0) into 0 3.218 * [taylor]: Taking taylor expansion of 0 in y 3.218 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 3.220 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) 3.220 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 3.220 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 3.221 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 3.221 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.221 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.221 * [taylor]: Taking taylor expansion of -1 in y 3.221 * [backup-simplify]: Simplify -1 into -1 3.221 * [taylor]: Taking taylor expansion of x in y 3.221 * [backup-simplify]: Simplify x into x 3.221 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.221 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.221 * [taylor]: Taking taylor expansion of -1 in y 3.221 * [backup-simplify]: Simplify -1 into -1 3.221 * [taylor]: Taking taylor expansion of x in y 3.221 * [backup-simplify]: Simplify x into x 3.221 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.221 * [taylor]: Taking taylor expansion of y in y 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify 1 into 1 3.221 * [backup-simplify]: Simplify (* 1 1) into 1 3.222 * [backup-simplify]: Simplify (/ 1 1) into 1 3.222 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 3.222 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 3.222 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.222 * [taylor]: Taking taylor expansion of -1 in x 3.222 * [backup-simplify]: Simplify -1 into -1 3.222 * [taylor]: Taking taylor expansion of x in x 3.222 * [backup-simplify]: Simplify 0 into 0 3.222 * [backup-simplify]: Simplify 1 into 1 3.223 * [backup-simplify]: Simplify (/ -1 1) into -1 3.223 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.223 * [taylor]: Taking taylor expansion of -1 in x 3.223 * [backup-simplify]: Simplify -1 into -1 3.223 * [taylor]: Taking taylor expansion of x in x 3.223 * [backup-simplify]: Simplify 0 into 0 3.223 * [backup-simplify]: Simplify 1 into 1 3.223 * [backup-simplify]: Simplify (/ -1 1) into -1 3.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.223 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.223 * [taylor]: Taking taylor expansion of y in x 3.223 * [backup-simplify]: Simplify y into y 3.223 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.223 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.223 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 3.224 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 3.224 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.224 * [taylor]: Taking taylor expansion of -1 in x 3.224 * [backup-simplify]: Simplify -1 into -1 3.224 * [taylor]: Taking taylor expansion of x in x 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.224 * [backup-simplify]: Simplify (/ -1 1) into -1 3.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.224 * [taylor]: Taking taylor expansion of -1 in x 3.224 * [backup-simplify]: Simplify -1 into -1 3.224 * [taylor]: Taking taylor expansion of x in x 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.225 * [backup-simplify]: Simplify (/ -1 1) into -1 3.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.225 * [taylor]: Taking taylor expansion of y in x 3.225 * [backup-simplify]: Simplify y into y 3.225 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.225 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.225 * [backup-simplify]: Simplify (* -1 -1) into 1 3.226 * [backup-simplify]: Simplify (+ 1 0) into 1 3.226 * [taylor]: Taking taylor expansion of 1 in y 3.226 * [backup-simplify]: Simplify 1 into 1 3.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.228 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.228 * [backup-simplify]: Simplify (+ 0 0) into 0 3.228 * [taylor]: Taking taylor expansion of 0 in y 3.228 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.231 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.231 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.231 * [taylor]: Taking taylor expansion of y in y 3.231 * [backup-simplify]: Simplify 0 into 0 3.231 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify (* 1 1) into 1 3.232 * [backup-simplify]: Simplify (/ 1 1) into 1 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.235 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.235 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.236 * [backup-simplify]: Simplify (+ 0 0) into 0 3.236 * [taylor]: Taking taylor expansion of 0 in y 3.236 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 0 into 0 3.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.239 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.239 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.240 * [backup-simplify]: Simplify (+ 0 0) into 0 3.240 * [taylor]: Taking taylor expansion of 0 in y 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 3.241 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.242 * [backup-simplify]: Simplify (fma y (* x 2) (fma x x (* y y))) into (fma y (* 2 x) (fma x x (pow y 2))) 3.242 * [approximate]: Taking taylor expansion of (fma y (* 2 x) (fma x x (pow y 2))) in (y x) around 0 3.242 * [taylor]: Taking taylor expansion of (fma y (* 2 x) (fma x x (pow y 2))) in x 3.242 * [taylor]: Rewrote expression to (+ (* y (* 2 x)) (fma x x (pow y 2))) 3.242 * [taylor]: Taking taylor expansion of (* y (* 2 x)) in x 3.242 * [taylor]: Taking taylor expansion of y in x 3.242 * [backup-simplify]: Simplify y into y 3.242 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.242 * [taylor]: Taking taylor expansion of 2 in x 3.242 * [backup-simplify]: Simplify 2 into 2 3.242 * [taylor]: Taking taylor expansion of x in x 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 3.242 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 3.242 * [taylor]: Taking taylor expansion of (* x x) in x 3.242 * [taylor]: Taking taylor expansion of x in x 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [taylor]: Taking taylor expansion of x in x 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.242 * [taylor]: Taking taylor expansion of y in x 3.242 * [backup-simplify]: Simplify y into y 3.242 * [taylor]: Taking taylor expansion of (fma y (* 2 x) (fma x x (pow y 2))) in y 3.242 * [taylor]: Rewrote expression to (+ (* y (* 2 x)) (fma x x (pow y 2))) 3.242 * [taylor]: Taking taylor expansion of (* y (* 2 x)) in y 3.242 * [taylor]: Taking taylor expansion of y in y 3.242 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify 1 into 1 3.242 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.242 * [taylor]: Taking taylor expansion of 2 in y 3.242 * [backup-simplify]: Simplify 2 into 2 3.242 * [taylor]: Taking taylor expansion of x in y 3.242 * [backup-simplify]: Simplify x into x 3.242 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 3.242 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 3.242 * [taylor]: Taking taylor expansion of (* x x) in y 3.243 * [taylor]: Taking taylor expansion of x in y 3.243 * [backup-simplify]: Simplify x into x 3.243 * [taylor]: Taking taylor expansion of x in y 3.243 * [backup-simplify]: Simplify x into x 3.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.243 * [taylor]: Taking taylor expansion of y in y 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 1 into 1 3.243 * [taylor]: Taking taylor expansion of (fma y (* 2 x) (fma x x (pow y 2))) in y 3.243 * [taylor]: Rewrote expression to (+ (* y (* 2 x)) (fma x x (pow y 2))) 3.243 * [taylor]: Taking taylor expansion of (* y (* 2 x)) in y 3.243 * [taylor]: Taking taylor expansion of y in y 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 1 into 1 3.243 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.243 * [taylor]: Taking taylor expansion of 2 in y 3.243 * [backup-simplify]: Simplify 2 into 2 3.243 * [taylor]: Taking taylor expansion of x in y 3.243 * [backup-simplify]: Simplify x into x 3.243 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 3.243 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 3.243 * [taylor]: Taking taylor expansion of (* x x) in y 3.243 * [taylor]: Taking taylor expansion of x in y 3.243 * [backup-simplify]: Simplify x into x 3.243 * [taylor]: Taking taylor expansion of x in y 3.243 * [backup-simplify]: Simplify x into x 3.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.243 * [taylor]: Taking taylor expansion of y in y 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 1 into 1 3.243 * [backup-simplify]: Simplify (* 2 x) into (* 2 x) 3.243 * [backup-simplify]: Simplify (* 0 (* 2 x)) into 0 3.243 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.243 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.243 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.243 * [taylor]: Taking taylor expansion of x in x 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 1 into 1 3.244 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 x)) into 0 3.244 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* 2 x))) into (* 2 x) 3.244 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.245 * [backup-simplify]: Simplify (+ 0 0) into 0 3.245 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 3.245 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.245 * [taylor]: Taking taylor expansion of 2 in x 3.245 * [backup-simplify]: Simplify 2 into 2 3.245 * [taylor]: Taking taylor expansion of x in x 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 1 into 1 3.245 * [backup-simplify]: Simplify (* 2 0) into 0 3.245 * [backup-simplify]: Simplify 0 into 0 3.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 x))) into 0 3.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 2 x)))) into 0 3.247 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.247 * [backup-simplify]: Simplify (* 1 1) into 1 3.247 * [backup-simplify]: Simplify (+ 0 1) into 1 3.247 * [backup-simplify]: Simplify (+ 0 1) into 1 3.248 * [taylor]: Taking taylor expansion of 1 in x 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [backup-simplify]: Simplify 1 into 1 3.248 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.248 * [backup-simplify]: Simplify 2 into 2 3.248 * [backup-simplify]: Simplify (* 1 1) into 1 3.248 * [backup-simplify]: Simplify 1 into 1 3.249 * [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)))) 3.249 * [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)))) 3.249 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (/ 2 x) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in (y x) around 0 3.249 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 2 x) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 3.249 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 2 x)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 3.249 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 2 x)) in x 3.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.249 * [taylor]: Taking taylor expansion of y in x 3.249 * [backup-simplify]: Simplify y into y 3.249 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.249 * [taylor]: Taking taylor expansion of (/ 2 x) in x 3.249 * [taylor]: Taking taylor expansion of 2 in x 3.249 * [backup-simplify]: Simplify 2 into 2 3.249 * [taylor]: Taking taylor expansion of x in x 3.249 * [backup-simplify]: Simplify 0 into 0 3.249 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (/ 2 1) into 2 3.250 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 3.250 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 3.250 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.250 * [taylor]: Taking taylor expansion of x in x 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.250 * [taylor]: Taking taylor expansion of x in x 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.250 * [taylor]: Taking taylor expansion of y in x 3.251 * [backup-simplify]: Simplify y into y 3.251 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.251 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.251 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 2 x) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y 3.251 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 2 x)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 3.251 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 2 x)) in y 3.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.251 * [taylor]: Taking taylor expansion of y in y 3.251 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify 1 into 1 3.251 * [backup-simplify]: Simplify (/ 1 1) into 1 3.251 * [taylor]: Taking taylor expansion of (/ 2 x) in y 3.251 * [taylor]: Taking taylor expansion of 2 in y 3.251 * [backup-simplify]: Simplify 2 into 2 3.251 * [taylor]: Taking taylor expansion of x in y 3.251 * [backup-simplify]: Simplify x into x 3.252 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 3.252 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 3.252 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 3.252 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.252 * [taylor]: Taking taylor expansion of x in y 3.252 * [backup-simplify]: Simplify x into x 3.252 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.252 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.252 * [taylor]: Taking taylor expansion of x in y 3.252 * [backup-simplify]: Simplify x into x 3.252 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.252 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.252 * [taylor]: Taking taylor expansion of y in y 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [backup-simplify]: Simplify (* 1 1) into 1 3.253 * [backup-simplify]: Simplify (/ 1 1) into 1 3.253 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 2 x) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y 3.253 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 2 x)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 3.253 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 2 x)) in y 3.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.253 * [taylor]: Taking taylor expansion of y in y 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 1 into 1 3.253 * [backup-simplify]: Simplify (/ 1 1) into 1 3.254 * [taylor]: Taking taylor expansion of (/ 2 x) in y 3.254 * [taylor]: Taking taylor expansion of 2 in y 3.254 * [backup-simplify]: Simplify 2 into 2 3.254 * [taylor]: Taking taylor expansion of x in y 3.254 * [backup-simplify]: Simplify x into x 3.254 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 3.254 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 3.254 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 3.254 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 3.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.254 * [taylor]: Taking taylor expansion of x in y 3.254 * [backup-simplify]: Simplify x into x 3.254 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.254 * [taylor]: Taking taylor expansion of x in y 3.254 * [backup-simplify]: Simplify x into x 3.254 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.254 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.254 * [taylor]: Taking taylor expansion of y in y 3.254 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify 1 into 1 3.255 * [backup-simplify]: Simplify (* 1 1) into 1 3.255 * [backup-simplify]: Simplify (/ 1 1) into 1 3.255 * [backup-simplify]: Simplify (+ 0 1) into 1 3.256 * [backup-simplify]: Simplify (+ 0 1) into 1 3.256 * [taylor]: Taking taylor expansion of 1 in x 3.256 * [backup-simplify]: Simplify 1 into 1 3.256 * [backup-simplify]: Simplify (* 1 (/ 2 x)) into (/ 2 x) 3.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.257 * [backup-simplify]: Simplify (+ 0 0) into 0 3.257 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x)) 3.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.257 * [taylor]: Taking taylor expansion of 2 in x 3.257 * [backup-simplify]: Simplify 2 into 2 3.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.257 * [taylor]: Taking taylor expansion of x in x 3.257 * [backup-simplify]: Simplify 0 into 0 3.257 * [backup-simplify]: Simplify 1 into 1 3.258 * [backup-simplify]: Simplify (/ 1 1) into 1 3.258 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 3.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ 2 x))) into 0 3.259 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 3.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.260 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.260 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.260 * [taylor]: Taking taylor expansion of x in x 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 1 into 1 3.260 * [backup-simplify]: Simplify (* 1 1) into 1 3.261 * [backup-simplify]: Simplify (/ 1 1) into 1 3.261 * [backup-simplify]: Simplify 1 into 1 3.261 * [backup-simplify]: Simplify (* 2 1) into 2 3.261 * [backup-simplify]: Simplify 2 into 2 3.261 * [backup-simplify]: Simplify 1 into 1 3.262 * [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)))) 3.262 * [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)))) 3.262 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (/ -2 x) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in (y x) around 0 3.262 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -2 x) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 3.262 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -2 x)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 3.262 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -2 x)) in x 3.262 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.262 * [taylor]: Taking taylor expansion of -1 in x 3.262 * [backup-simplify]: Simplify -1 into -1 3.262 * [taylor]: Taking taylor expansion of y in x 3.262 * [backup-simplify]: Simplify y into y 3.262 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 3.262 * [taylor]: Taking taylor expansion of (/ -2 x) in x 3.262 * [taylor]: Taking taylor expansion of -2 in x 3.262 * [backup-simplify]: Simplify -2 into -2 3.262 * [taylor]: Taking taylor expansion of x in x 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 1 into 1 3.263 * [backup-simplify]: Simplify (/ -2 1) into -2 3.263 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 3.263 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 3.263 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.263 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.263 * [taylor]: Taking taylor expansion of -1 in x 3.263 * [backup-simplify]: Simplify -1 into -1 3.263 * [taylor]: Taking taylor expansion of x in x 3.263 * [backup-simplify]: Simplify 0 into 0 3.263 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (/ -1 1) into -1 3.264 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.264 * [taylor]: Taking taylor expansion of -1 in x 3.264 * [backup-simplify]: Simplify -1 into -1 3.264 * [taylor]: Taking taylor expansion of x in x 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.264 * [backup-simplify]: Simplify (/ -1 1) into -1 3.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.264 * [taylor]: Taking taylor expansion of y in x 3.264 * [backup-simplify]: Simplify y into y 3.264 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.265 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.265 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -2 x) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y 3.265 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -2 x)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 3.265 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -2 x)) in y 3.265 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.265 * [taylor]: Taking taylor expansion of -1 in y 3.265 * [backup-simplify]: Simplify -1 into -1 3.265 * [taylor]: Taking taylor expansion of y in y 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify (/ -1 1) into -1 3.265 * [taylor]: Taking taylor expansion of (/ -2 x) in y 3.265 * [taylor]: Taking taylor expansion of -2 in y 3.265 * [backup-simplify]: Simplify -2 into -2 3.265 * [taylor]: Taking taylor expansion of x in y 3.265 * [backup-simplify]: Simplify x into x 3.265 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 3.265 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 3.266 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 3.266 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.266 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.266 * [taylor]: Taking taylor expansion of -1 in y 3.266 * [backup-simplify]: Simplify -1 into -1 3.266 * [taylor]: Taking taylor expansion of x in y 3.266 * [backup-simplify]: Simplify x into x 3.266 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.266 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.266 * [taylor]: Taking taylor expansion of -1 in y 3.266 * [backup-simplify]: Simplify -1 into -1 3.266 * [taylor]: Taking taylor expansion of x in y 3.266 * [backup-simplify]: Simplify x into x 3.266 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.266 * [taylor]: Taking taylor expansion of y in y 3.266 * [backup-simplify]: Simplify 0 into 0 3.266 * [backup-simplify]: Simplify 1 into 1 3.266 * [backup-simplify]: Simplify (* 1 1) into 1 3.267 * [backup-simplify]: Simplify (/ 1 1) into 1 3.267 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -2 x) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y 3.267 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -2 x)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 3.267 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -2 x)) in y 3.267 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.267 * [taylor]: Taking taylor expansion of -1 in y 3.267 * [backup-simplify]: Simplify -1 into -1 3.267 * [taylor]: Taking taylor expansion of y in y 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.268 * [backup-simplify]: Simplify (/ -1 1) into -1 3.268 * [taylor]: Taking taylor expansion of (/ -2 x) in y 3.268 * [taylor]: Taking taylor expansion of -2 in y 3.268 * [backup-simplify]: Simplify -2 into -2 3.268 * [taylor]: Taking taylor expansion of x in y 3.268 * [backup-simplify]: Simplify x into x 3.268 * [backup-simplify]: Simplify (/ -2 x) into (/ -2 x) 3.268 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 3.268 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 3.268 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 3.268 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.268 * [taylor]: Taking taylor expansion of -1 in y 3.268 * [backup-simplify]: Simplify -1 into -1 3.268 * [taylor]: Taking taylor expansion of x in y 3.268 * [backup-simplify]: Simplify x into x 3.268 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.268 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.268 * [taylor]: Taking taylor expansion of -1 in y 3.268 * [backup-simplify]: Simplify -1 into -1 3.268 * [taylor]: Taking taylor expansion of x in y 3.268 * [backup-simplify]: Simplify x into x 3.268 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.268 * [taylor]: Taking taylor expansion of y in y 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 1 into 1 3.269 * [backup-simplify]: Simplify (* 1 1) into 1 3.274 * [backup-simplify]: Simplify (/ 1 1) into 1 3.274 * [backup-simplify]: Simplify (+ 0 1) into 1 3.275 * [backup-simplify]: Simplify (+ 0 1) into 1 3.275 * [taylor]: Taking taylor expansion of 1 in x 3.275 * [backup-simplify]: Simplify 1 into 1 3.275 * [backup-simplify]: Simplify (* -1 (/ -2 x)) into (/ 2 x) 3.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.277 * [backup-simplify]: Simplify (+ 0 0) into 0 3.277 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x)) 3.277 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.277 * [taylor]: Taking taylor expansion of 2 in x 3.277 * [backup-simplify]: Simplify 2 into 2 3.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.277 * [taylor]: Taking taylor expansion of x in x 3.277 * [backup-simplify]: Simplify 0 into 0 3.277 * [backup-simplify]: Simplify 1 into 1 3.277 * [backup-simplify]: Simplify (/ 1 1) into 1 3.278 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 3.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.279 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ -2 x))) into 0 3.279 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 3.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.281 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.281 * [taylor]: Taking taylor expansion of x in x 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 1 into 1 3.281 * [backup-simplify]: Simplify (* 1 1) into 1 3.282 * [backup-simplify]: Simplify (/ 1 1) into 1 3.282 * [backup-simplify]: Simplify 1 into 1 3.282 * [backup-simplify]: Simplify (* 2 1) into 2 3.282 * [backup-simplify]: Simplify 2 into 2 3.282 * [backup-simplify]: Simplify 1 into 1 3.283 * [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)))) 3.283 * * * [progress]: simplifying candidates 3.284 * [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)))) 3.284 * * [simplify]: iteration 0: 34 enodes 3.294 * * [simplify]: iteration 1: 53 enodes 3.307 * * [simplify]: iteration 2: 120 enodes 3.333 * * [simplify]: iteration 3: 389 enodes 3.583 * * [simplify]: iteration 4: 1590 enodes 4.309 * * [simplify]: iteration complete: 5001 enodes 4.309 * * [simplify]: Extracting #0: cost 20 inf + 0 4.309 * * [simplify]: Extracting #1: cost 153 inf + 0 4.313 * * [simplify]: Extracting #2: cost 745 inf + 128 4.321 * * [simplify]: Extracting #3: cost 1094 inf + 21580 4.373 * * [simplify]: Extracting #4: cost 336 inf + 214143 4.458 * * [simplify]: Extracting #5: cost 30 inf + 301763 4.563 * * [simplify]: Extracting #6: cost 0 inf + 308741 4.702 * [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)))) 4.704 * * * [progress]: adding candidates to table 4.850 * * [progress]: iteration 3 / 4 4.850 * * * [progress]: picking best candidate 4.853 * * * * [pick]: Picked # 4.853 * * * [progress]: localizing error 4.869 * * * [progress]: generating rewritten candidates 4.869 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 4.891 * * * [progress]: generating series expansions 4.892 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 4.892 * [backup-simplify]: Simplify (* x (+ x (* y 2))) into (* x (+ x (* 2 y))) 4.892 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 4.892 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 4.892 * [taylor]: Taking taylor expansion of x in y 4.892 * [backup-simplify]: Simplify x into x 4.892 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 4.892 * [taylor]: Taking taylor expansion of x in y 4.892 * [backup-simplify]: Simplify x into x 4.892 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.892 * [taylor]: Taking taylor expansion of 2 in y 4.892 * [backup-simplify]: Simplify 2 into 2 4.892 * [taylor]: Taking taylor expansion of y in y 4.892 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify 1 into 1 4.892 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 4.892 * [taylor]: Taking taylor expansion of x in x 4.892 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify 1 into 1 4.892 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 4.892 * [taylor]: Taking taylor expansion of x in x 4.892 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.893 * [taylor]: Taking taylor expansion of (* 2 y) in x 4.893 * [taylor]: Taking taylor expansion of 2 in x 4.893 * [backup-simplify]: Simplify 2 into 2 4.893 * [taylor]: Taking taylor expansion of y in x 4.893 * [backup-simplify]: Simplify y into y 4.893 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 4.893 * [taylor]: Taking taylor expansion of x in x 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.893 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 4.893 * [taylor]: Taking taylor expansion of x in x 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.893 * [taylor]: Taking taylor expansion of (* 2 y) in x 4.893 * [taylor]: Taking taylor expansion of 2 in x 4.893 * [backup-simplify]: Simplify 2 into 2 4.893 * [taylor]: Taking taylor expansion of y in x 4.893 * [backup-simplify]: Simplify y into y 4.893 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 4.893 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 4.893 * [backup-simplify]: Simplify (* 0 (* 2 y)) into 0 4.893 * [taylor]: Taking taylor expansion of 0 in y 4.893 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 4.895 * [backup-simplify]: Simplify (+ 1 0) into 1 4.895 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 y))) into (* 2 y) 4.895 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.895 * [taylor]: Taking taylor expansion of 2 in y 4.895 * [backup-simplify]: Simplify 2 into 2 4.896 * [taylor]: Taking taylor expansion of y in y 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 1 into 1 4.896 * [backup-simplify]: Simplify (* 2 0) into 0 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 4.897 * [backup-simplify]: Simplify (+ 0 0) into 0 4.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 y)))) into 1 4.898 * [taylor]: Taking taylor expansion of 1 in y 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify 1 into 1 4.899 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.899 * [backup-simplify]: Simplify 2 into 2 4.899 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.901 * [backup-simplify]: Simplify (+ 0 0) into 0 4.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2 y))))) into 0 4.902 * [taylor]: Taking taylor expansion of 0 in y 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.905 * [backup-simplify]: Simplify (+ 0 0) into 0 4.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2 y)))))) into 0 4.906 * [taylor]: Taking taylor expansion of 0 in y 4.906 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (* x y))) 4.907 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2))) into (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) 4.907 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in (x y) around 0 4.907 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in y 4.907 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 4.907 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.907 * [taylor]: Taking taylor expansion of x in y 4.907 * [backup-simplify]: Simplify x into x 4.907 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.907 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.907 * [taylor]: Taking taylor expansion of 2 in y 4.907 * [backup-simplify]: Simplify 2 into 2 4.907 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.907 * [taylor]: Taking taylor expansion of y in y 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify 1 into 1 4.908 * [backup-simplify]: Simplify (/ 1 1) into 1 4.908 * [taylor]: Taking taylor expansion of x in y 4.908 * [backup-simplify]: Simplify x into x 4.908 * [backup-simplify]: Simplify (* 2 1) into 2 4.909 * [backup-simplify]: Simplify (+ 0 2) into 2 4.909 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 4.909 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 4.909 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 4.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.909 * [taylor]: Taking taylor expansion of x in x 4.909 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify 1 into 1 4.909 * [backup-simplify]: Simplify (/ 1 1) into 1 4.909 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.909 * [taylor]: Taking taylor expansion of 2 in x 4.909 * [backup-simplify]: Simplify 2 into 2 4.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.909 * [taylor]: Taking taylor expansion of y in x 4.910 * [backup-simplify]: Simplify y into y 4.910 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.910 * [taylor]: Taking taylor expansion of x in x 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [backup-simplify]: Simplify (+ 1 0) into 1 4.910 * [backup-simplify]: Simplify (/ 1 1) into 1 4.910 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 4.910 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 4.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.911 * [taylor]: Taking taylor expansion of x in x 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (/ 1 1) into 1 4.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.911 * [taylor]: Taking taylor expansion of 2 in x 4.911 * [backup-simplify]: Simplify 2 into 2 4.911 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.911 * [taylor]: Taking taylor expansion of y in x 4.911 * [backup-simplify]: Simplify y into y 4.911 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.911 * [taylor]: Taking taylor expansion of x in x 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.912 * [backup-simplify]: Simplify (+ 1 0) into 1 4.912 * [backup-simplify]: Simplify (/ 1 1) into 1 4.912 * [taylor]: Taking taylor expansion of 1 in y 4.912 * [backup-simplify]: Simplify 1 into 1 4.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.913 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.913 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.914 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 4.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.914 * [taylor]: Taking taylor expansion of 2 in y 4.914 * [backup-simplify]: Simplify 2 into 2 4.914 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.914 * [taylor]: Taking taylor expansion of y in y 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 1 into 1 4.914 * [backup-simplify]: Simplify (/ 1 1) into 1 4.915 * [backup-simplify]: Simplify (* 2 1) into 2 4.915 * [backup-simplify]: Simplify 2 into 2 4.915 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.916 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.917 * [backup-simplify]: Simplify (+ 0 0) into 0 4.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 4.918 * [taylor]: Taking taylor expansion of 0 in y 4.918 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.919 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.921 * [backup-simplify]: Simplify (+ 0 0) into 0 4.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.923 * [taylor]: Taking taylor expansion of 0 in y 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 4.926 * [backup-simplify]: Simplify (+ 0 0) into 0 4.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.928 * [taylor]: Taking taylor expansion of 0 in y 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2 (* x y))) 4.928 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2))) into (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) 4.928 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in (x y) around 0 4.928 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in y 4.928 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in y 4.928 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.928 * [taylor]: Taking taylor expansion of x in y 4.928 * [backup-simplify]: Simplify x into x 4.928 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.928 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.928 * [taylor]: Taking taylor expansion of 2 in y 4.928 * [backup-simplify]: Simplify 2 into 2 4.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.928 * [taylor]: Taking taylor expansion of y in y 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 1 into 1 4.929 * [backup-simplify]: Simplify (/ 1 1) into 1 4.929 * [taylor]: Taking taylor expansion of x in y 4.929 * [backup-simplify]: Simplify x into x 4.929 * [backup-simplify]: Simplify (* 2 1) into 2 4.929 * [backup-simplify]: Simplify (+ 0 2) into 2 4.929 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 4.929 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 4.929 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 4.929 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.929 * [taylor]: Taking taylor expansion of x in x 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.930 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.930 * [taylor]: Taking taylor expansion of 2 in x 4.930 * [backup-simplify]: Simplify 2 into 2 4.930 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.930 * [taylor]: Taking taylor expansion of y in x 4.930 * [backup-simplify]: Simplify y into y 4.930 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.930 * [taylor]: Taking taylor expansion of x in x 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (+ 1 0) into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.930 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2 (/ 1 y))) x) in x 4.930 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2 (/ 1 y))) in x 4.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.930 * [taylor]: Taking taylor expansion of x in x 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (/ 1 1) into 1 4.931 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.931 * [taylor]: Taking taylor expansion of 2 in x 4.931 * [backup-simplify]: Simplify 2 into 2 4.931 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.931 * [taylor]: Taking taylor expansion of y in x 4.931 * [backup-simplify]: Simplify y into y 4.931 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.931 * [taylor]: Taking taylor expansion of x in x 4.931 * [backup-simplify]: Simplify 0 into 0 4.931 * [backup-simplify]: Simplify 1 into 1 4.931 * [backup-simplify]: Simplify (+ 1 0) into 1 4.931 * [backup-simplify]: Simplify (/ 1 1) into 1 4.931 * [taylor]: Taking taylor expansion of 1 in y 4.931 * [backup-simplify]: Simplify 1 into 1 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.932 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.932 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.932 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 4.932 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.932 * [taylor]: Taking taylor expansion of 2 in y 4.932 * [backup-simplify]: Simplify 2 into 2 4.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.932 * [taylor]: Taking taylor expansion of y in y 4.932 * [backup-simplify]: Simplify 0 into 0 4.932 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (/ 1 1) into 1 4.933 * [backup-simplify]: Simplify (* 2 1) into 2 4.933 * [backup-simplify]: Simplify 2 into 2 4.933 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.934 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.934 * [backup-simplify]: Simplify (+ 0 0) into 0 4.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 4.935 * [taylor]: Taking taylor expansion of 0 in y 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.936 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.937 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.938 * [backup-simplify]: Simplify (+ 0 0) into 0 4.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.939 * [taylor]: Taking taylor expansion of 0 in y 4.939 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.941 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.941 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.944 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 4.944 * [backup-simplify]: Simplify (+ 0 0) into 0 4.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.946 * [taylor]: Taking taylor expansion of 0 in y 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2 (* x y))) 4.947 * * * [progress]: simplifying candidates 4.947 * [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))) 4.948 * * [simplify]: iteration 0: 49 enodes 4.966 * * [simplify]: iteration 1: 162 enodes 5.051 * * [simplify]: iteration 2: 675 enodes 6.021 * * [simplify]: iteration 3: 3800 enodes 7.445 * * [simplify]: iteration complete: 5000 enodes 7.445 * * [simplify]: Extracting #0: cost 19 inf + 0 7.447 * * [simplify]: Extracting #1: cost 267 inf + 1 7.460 * * [simplify]: Extracting #2: cost 679 inf + 12124 7.482 * * [simplify]: Extracting #3: cost 330 inf + 81707 7.550 * * [simplify]: Extracting #4: cost 21 inf + 152227 7.603 * * [simplify]: Extracting #5: cost 0 inf + 159431 7.689 * [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) 7.691 * * * [progress]: adding candidates to table 7.817 * [progress]: [Phase 3 of 3] Extracting. 7.822 * [simplify]: Simplifying: (fma y y (* x (+ x (* y 2)))) 7.822 * * [simplify]: iteration 0: 7 enodes 7.823 * * [simplify]: iteration 1: 10 enodes 7.824 * * [simplify]: iteration complete: 10 enodes 7.824 * * [simplify]: Extracting #0: cost 1 inf + 0 7.824 * * [simplify]: Extracting #1: cost 3 inf + 0 7.824 * * [simplify]: Extracting #2: cost 4 inf + 1 7.824 * * [simplify]: Extracting #3: cost 4 inf + 2 7.824 * * [simplify]: Extracting #4: cost 5 inf + 2 7.824 * * [simplify]: Extracting #5: cost 0 inf + 429 7.824 * [simplify]: Simplified to: (fma y y (* x (+ x (* y 2)))) 9.520 * [regime-testing]: Baseline error score: 0.006489172471009941 9.534 * [regime-testing]: Oracle error score: 0.006489172471009941 9.534 * [regime-testing]: End program error score: 0.006489172471009941 9.627 * [regime-testing]: Target error score: 0.014074879672549214