5.766 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.019 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.020 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.022 * * [simplify]: iteration 2 : 26 enodes (cost 7 ) 0.031 * * [simplify]: iteration 3 : 50 enodes (cost 7 ) 0.039 * * [simplify]: iteration 4 : 87 enodes (cost 7 ) 0.053 * * [simplify]: iteration 5 : 113 enodes (cost 7 ) 0.070 * * [simplify]: iteration 6 : 131 enodes (cost 7 ) 0.093 * * [simplify]: iteration 7 : 144 enodes (cost 7 ) 0.117 * * [simplify]: iteration 8 : 146 enodes (cost 7 ) 0.142 * * [simplify]: iteration done : 146 enodes (cost 7 ) 0.142 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.143 * * [progress]: iteration 1 / 4 0.143 * * * [progress]: picking best candidate 0.145 * * * * [pick]: Picked # 0.145 * * * [progress]: localizing error 0.149 * * * [progress]: generating rewritten candidates 0.149 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.168 * * * [progress]: generating series expansions 0.168 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.168 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.168 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.168 * [taylor]: Taking taylor expansion of (+ x y) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.168 * [taylor]: Taking taylor expansion of (+ x y) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.169 * [taylor]: Taking taylor expansion of (+ x y) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.170 * [taylor]: Taking taylor expansion of 2 in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.172 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.173 * [taylor]: Taking taylor expansion of x in y 0.173 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of 1 in 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 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.175 * [taylor]: Taking taylor expansion of y in y 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 0.179 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.180 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.180 * [taylor]: Taking taylor expansion of 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 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.182 * [taylor]: Taking taylor expansion of 1 in 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 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.189 * * * [progress]: simplifying candidates 0.190 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.192 * * [simplify]: iteration 0 : 64 enodes (cost 532 ) 0.208 * * [simplify]: iteration 1 : 190 enodes (cost 465 ) 0.258 * * [simplify]: iteration 2 : 780 enodes (cost 416 ) 1.646 * * [simplify]: iteration 3 : 4151 enodes (cost 380 ) 3.156 * * [simplify]: iteration done : 5000 enodes (cost 380 ) 3.156 * [simplify]: Simplified to: (expm1 (pow (sqrt (+ y x)) 4)) (log1p (pow (sqrt (+ y x)) 4)) 2 (pow (sqrt (+ y x)) 4) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (pow (sqrt (+ y x)) 4)) (pow (+ y x) 6) (* (cbrt (pow (sqrt (+ y x)) 4)) (cbrt (pow (sqrt (+ y x)) 4))) (cbrt (pow (sqrt (+ y x)) 4)) (pow (+ y x) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (fma x x (* y (- y x))) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (fma x x (* y (- y x))) (- x y)) (* (* (- x y) (- x y)) (pow (sqrt (+ y x)) 4)) (* (- x y) (- x y)) (pow (cbrt (+ y x)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ y x) (+ y x) 1 (pow (sqrt (+ y x)) 4) 1 (pow (sqrt (+ y x)) 4) 1 (pow (sqrt (+ y x)) 4) 1 (pow (sqrt (+ y x)) 4) (+ y x) (+ y x) 2 (* x (+ x y)) (* (+ x y) y) (* x (+ x y)) (* (+ x y) y) (* (cbrt (+ y x)) (pow (cbrt (+ y x)) 4)) (pow (sqrt (+ x y)) 3) (+ y x) (+ y x) (pow (cbrt (+ y x)) 4) (pow (sqrt (+ x y)) 3) (pow (sqrt (+ y x)) 4) (pow (sqrt (+ y x)) 4) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- x y) (pow (sqrt (+ y x)) 4)) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- x y) (pow (sqrt (+ y x)) 4)) (fma y (fma 2 x y) (pow x 2)) (fma y (fma 2 x y) (pow x 2)) (fma y (fma 2 x y) (pow x 2)) 3.157 * * * [progress]: adding candidates to table 3.235 * * [progress]: iteration 2 / 4 3.236 * * * [progress]: picking best candidate 3.242 * * * * [pick]: Picked # 3.242 * * * [progress]: localizing error 3.250 * * * [progress]: generating rewritten candidates 3.250 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.250 * * * [progress]: generating series expansions 3.250 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.251 * [approximate]: Taking taylor expansion of (fma y (fma 2 x y) (pow x 2)) in (y x) around 0 3.251 * [taylor]: Taking taylor expansion of (fma y (fma 2 x y) (pow x 2)) in x 3.251 * [taylor]: Rewrote expression to (+ (* y (fma 2 x y)) (pow x 2)) 3.251 * [taylor]: Taking taylor expansion of (* y (fma 2 x y)) in x 3.251 * [taylor]: Taking taylor expansion of y in x 3.251 * [taylor]: Taking taylor expansion of (fma 2 x y) in x 3.251 * [taylor]: Rewrote expression to (+ (* 2 x) y) 3.251 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.251 * [taylor]: Taking taylor expansion of 2 in x 3.251 * [taylor]: Taking taylor expansion of x in x 3.251 * [taylor]: Taking taylor expansion of y in x 3.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.251 * [taylor]: Taking taylor expansion of x in x 3.251 * [taylor]: Taking taylor expansion of (fma y (fma 2 x y) (pow x 2)) in y 3.251 * [taylor]: Rewrote expression to (+ (* y (fma 2 x y)) (pow x 2)) 3.251 * [taylor]: Taking taylor expansion of (* y (fma 2 x y)) in y 3.251 * [taylor]: Taking taylor expansion of y in y 3.251 * [taylor]: Taking taylor expansion of (fma 2 x y) in y 3.251 * [taylor]: Rewrote expression to (+ (* 2 x) y) 3.251 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.251 * [taylor]: Taking taylor expansion of 2 in y 3.251 * [taylor]: Taking taylor expansion of x in y 3.251 * [taylor]: Taking taylor expansion of y in y 3.251 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.251 * [taylor]: Taking taylor expansion of x in y 3.251 * [taylor]: Taking taylor expansion of (fma y (fma 2 x y) (pow x 2)) in y 3.252 * [taylor]: Rewrote expression to (+ (* y (fma 2 x y)) (pow x 2)) 3.252 * [taylor]: Taking taylor expansion of (* y (fma 2 x y)) in y 3.252 * [taylor]: Taking taylor expansion of y in y 3.252 * [taylor]: Taking taylor expansion of (fma 2 x y) in y 3.252 * [taylor]: Rewrote expression to (+ (* 2 x) y) 3.252 * [taylor]: Taking taylor expansion of (* 2 x) in y 3.252 * [taylor]: Taking taylor expansion of 2 in y 3.252 * [taylor]: Taking taylor expansion of x in y 3.252 * [taylor]: Taking taylor expansion of y in y 3.252 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.252 * [taylor]: Taking taylor expansion of x in y 3.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.252 * [taylor]: Taking taylor expansion of x in x 3.254 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.254 * [taylor]: Taking taylor expansion of 2 in x 3.254 * [taylor]: Taking taylor expansion of x in x 3.256 * [taylor]: Taking taylor expansion of 1 in x 3.257 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (fma 2 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in (y x) around 0 3.257 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in x 3.258 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 3.258 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2 (/ 1 x) (/ 1 y))) in x 3.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.258 * [taylor]: Taking taylor expansion of y in x 3.258 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 x) (/ 1 y)) in x 3.258 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 x)) (/ 1 y)) 3.258 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.258 * [taylor]: Taking taylor expansion of 2 in x 3.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.258 * [taylor]: Taking taylor expansion of x in x 3.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.258 * [taylor]: Taking taylor expansion of y in x 3.258 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 3.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.258 * [taylor]: Taking taylor expansion of x in x 3.259 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in y 3.259 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 3.259 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2 (/ 1 x) (/ 1 y))) in y 3.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.259 * [taylor]: Taking taylor expansion of y in y 3.259 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 x) (/ 1 y)) in y 3.259 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 x)) (/ 1 y)) 3.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.259 * [taylor]: Taking taylor expansion of 2 in y 3.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.259 * [taylor]: Taking taylor expansion of x in y 3.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.259 * [taylor]: Taking taylor expansion of y in y 3.260 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 3.260 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.260 * [taylor]: Taking taylor expansion of x in y 3.260 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in y 3.260 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 3.260 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2 (/ 1 x) (/ 1 y))) in y 3.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.260 * [taylor]: Taking taylor expansion of y in y 3.260 * [taylor]: Taking taylor expansion of (fma 2 (/ 1 x) (/ 1 y)) in y 3.260 * [taylor]: Rewrote expression to (+ (* 2 (/ 1 x)) (/ 1 y)) 3.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 3.260 * [taylor]: Taking taylor expansion of 2 in y 3.260 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.260 * [taylor]: Taking taylor expansion of x in y 3.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.261 * [taylor]: Taking taylor expansion of y in y 3.261 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 3.261 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.261 * [taylor]: Taking taylor expansion of x in y 3.262 * [taylor]: Taking taylor expansion of 1 in x 3.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.263 * [taylor]: Taking taylor expansion of 2 in x 3.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.263 * [taylor]: Taking taylor expansion of x in x 3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.266 * [taylor]: Taking taylor expansion of x in x 3.268 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (fma 2 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in (y x) around 0 3.268 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in x 3.268 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 3.268 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2 (/ -1 x) (/ -1 y))) in x 3.268 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.268 * [taylor]: Taking taylor expansion of -1 in x 3.268 * [taylor]: Taking taylor expansion of y in x 3.268 * [taylor]: Taking taylor expansion of (fma 2 (/ -1 x) (/ -1 y)) in x 3.268 * [taylor]: Rewrote expression to (+ (* 2 (/ -1 x)) (/ -1 y)) 3.268 * [taylor]: Taking taylor expansion of (* 2 (/ -1 x)) in x 3.268 * [taylor]: Taking taylor expansion of 2 in x 3.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.268 * [taylor]: Taking taylor expansion of -1 in x 3.268 * [taylor]: Taking taylor expansion of x in x 3.269 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.269 * [taylor]: Taking taylor expansion of -1 in x 3.269 * [taylor]: Taking taylor expansion of y in x 3.269 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 3.269 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.269 * [taylor]: Taking taylor expansion of -1 in x 3.269 * [taylor]: Taking taylor expansion of x in x 3.269 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in y 3.269 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 3.269 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2 (/ -1 x) (/ -1 y))) in y 3.269 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.269 * [taylor]: Taking taylor expansion of -1 in y 3.269 * [taylor]: Taking taylor expansion of y in y 3.270 * [taylor]: Taking taylor expansion of (fma 2 (/ -1 x) (/ -1 y)) in y 3.270 * [taylor]: Rewrote expression to (+ (* 2 (/ -1 x)) (/ -1 y)) 3.270 * [taylor]: Taking taylor expansion of (* 2 (/ -1 x)) in y 3.270 * [taylor]: Taking taylor expansion of 2 in y 3.270 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.270 * [taylor]: Taking taylor expansion of -1 in y 3.270 * [taylor]: Taking taylor expansion of x in y 3.270 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.270 * [taylor]: Taking taylor expansion of -1 in y 3.270 * [taylor]: Taking taylor expansion of y in y 3.270 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 3.270 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.270 * [taylor]: Taking taylor expansion of -1 in y 3.271 * [taylor]: Taking taylor expansion of x in y 3.271 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in y 3.271 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 3.271 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2 (/ -1 x) (/ -1 y))) in y 3.271 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.271 * [taylor]: Taking taylor expansion of -1 in y 3.271 * [taylor]: Taking taylor expansion of y in y 3.271 * [taylor]: Taking taylor expansion of (fma 2 (/ -1 x) (/ -1 y)) in y 3.271 * [taylor]: Rewrote expression to (+ (* 2 (/ -1 x)) (/ -1 y)) 3.271 * [taylor]: Taking taylor expansion of (* 2 (/ -1 x)) in y 3.271 * [taylor]: Taking taylor expansion of 2 in y 3.271 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.271 * [taylor]: Taking taylor expansion of -1 in y 3.271 * [taylor]: Taking taylor expansion of x in y 3.271 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.271 * [taylor]: Taking taylor expansion of -1 in y 3.271 * [taylor]: Taking taylor expansion of y in y 3.272 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 3.272 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.272 * [taylor]: Taking taylor expansion of -1 in y 3.272 * [taylor]: Taking taylor expansion of x in y 3.273 * [taylor]: Taking taylor expansion of 1 in x 3.274 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.274 * [taylor]: Taking taylor expansion of 2 in x 3.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.274 * [taylor]: Taking taylor expansion of x in x 3.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.277 * [taylor]: Taking taylor expansion of x in x 3.279 * * * [progress]: simplifying candidates 3.279 * [simplify]: Simplifying using # : (expm1 (fma y (fma 2 x y) (pow x 2))) (log1p (fma y (fma 2 x y) (pow x 2))) (* y (fma 2 x y)) (log (fma y (fma 2 x y) (pow x 2))) (exp (fma y (fma 2 x y) (pow x 2))) (* (cbrt (fma y (fma 2 x y) (pow x 2))) (cbrt (fma y (fma 2 x y) (pow x 2)))) (cbrt (fma y (fma 2 x y) (pow x 2))) (* (* (fma y (fma 2 x y) (pow x 2)) (fma y (fma 2 x y) (pow x 2))) (fma y (fma 2 x y) (pow x 2))) (sqrt (fma y (fma 2 x y) (pow x 2))) (sqrt (fma y (fma 2 x y) (pow x 2))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.281 * * [simplify]: iteration 0 : 21 enodes (cost 165 ) 3.284 * * [simplify]: iteration 1 : 41 enodes (cost 165 ) 3.294 * * [simplify]: iteration 2 : 90 enodes (cost 135 ) 3.313 * * [simplify]: iteration 3 : 270 enodes (cost 135 ) 3.414 * * [simplify]: iteration 4 : 1198 enodes (cost 135 ) 4.260 * * [simplify]: iteration done : 5000 enodes (cost 135 ) 4.260 * [simplify]: Simplified to: (expm1 (fma y (fma 2 x y) (pow x 2))) (log1p (fma y (fma 2 x y) (pow x 2))) (* y (fma 2 x y)) (log (fma y (fma 2 x y) (pow x 2))) (exp (fma y (fma 2 x y) (pow x 2))) (* (cbrt (fma y (fma 2 x y) (pow x 2))) (cbrt (fma y (fma 2 x y) (pow x 2)))) (cbrt (fma y (fma 2 x y) (pow x 2))) (pow (fma y (fma 2 x y) (pow x 2)) 3) (sqrt (fma y (fma 2 x y) (pow x 2))) (sqrt (fma y (fma 2 x y) (pow x 2))) (fma y (fma 2 x y) (pow x 2)) (fma y (fma 2 x y) (pow x 2)) (fma y (fma 2 x y) (pow x 2)) 4.261 * * * [progress]: adding candidates to table 4.292 * * [progress]: iteration 3 / 4 4.292 * * * [progress]: picking best candidate 4.298 * * * * [pick]: Picked # 4.298 * * * [progress]: localizing error 4.303 * * * [progress]: generating rewritten candidates 4.304 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 4.314 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 4.324 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.332 * * * [progress]: generating series expansions 4.332 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 4.332 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 4.332 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 4.332 * [taylor]: Taking taylor expansion of y in y 4.332 * [taylor]: Taking taylor expansion of (+ x y) in y 4.332 * [taylor]: Taking taylor expansion of x in y 4.332 * [taylor]: Taking taylor expansion of y in y 4.332 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 4.332 * [taylor]: Taking taylor expansion of y in x 4.332 * [taylor]: Taking taylor expansion of (+ x y) in x 4.332 * [taylor]: Taking taylor expansion of x in x 4.332 * [taylor]: Taking taylor expansion of y in x 4.332 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 4.332 * [taylor]: Taking taylor expansion of y in x 4.332 * [taylor]: Taking taylor expansion of (+ x y) in x 4.332 * [taylor]: Taking taylor expansion of x in x 4.332 * [taylor]: Taking taylor expansion of y in x 4.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.332 * [taylor]: Taking taylor expansion of y in y 4.333 * [taylor]: Taking taylor expansion of y in y 4.334 * [taylor]: Taking taylor expansion of 0 in y 4.335 * [taylor]: Taking taylor expansion of 0 in y 4.337 * [taylor]: Taking taylor expansion of 0 in y 4.337 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 4.337 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 4.337 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.337 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.337 * [taylor]: Taking taylor expansion of y in y 4.338 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.338 * [taylor]: Taking taylor expansion of x in y 4.338 * [taylor]: Taking taylor expansion of y in y 4.338 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 4.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.338 * [taylor]: Taking taylor expansion of y in x 4.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.338 * [taylor]: Taking taylor expansion of x in x 4.339 * [taylor]: Taking taylor expansion of y in x 4.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 4.339 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.339 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.339 * [taylor]: Taking taylor expansion of y in x 4.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.339 * [taylor]: Taking taylor expansion of x in x 4.339 * [taylor]: Taking taylor expansion of y in x 4.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.340 * [taylor]: Taking taylor expansion of y in y 4.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.341 * [taylor]: Taking taylor expansion of y in y 4.342 * [taylor]: Taking taylor expansion of 0 in y 4.345 * [taylor]: Taking taylor expansion of 0 in y 4.348 * [taylor]: Taking taylor expansion of 0 in y 4.349 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 4.350 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 4.350 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.350 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.350 * [taylor]: Taking taylor expansion of y in y 4.350 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.350 * [taylor]: Taking taylor expansion of x in y 4.350 * [taylor]: Taking taylor expansion of y in y 4.351 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 4.351 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.351 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.351 * [taylor]: Taking taylor expansion of y in x 4.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.351 * [taylor]: Taking taylor expansion of x in x 4.351 * [taylor]: Taking taylor expansion of y in x 4.351 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 4.351 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.351 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.351 * [taylor]: Taking taylor expansion of y in x 4.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.351 * [taylor]: Taking taylor expansion of x in x 4.352 * [taylor]: Taking taylor expansion of y in x 4.352 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.352 * [taylor]: Taking taylor expansion of y in y 4.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.353 * [taylor]: Taking taylor expansion of y in y 4.355 * [taylor]: Taking taylor expansion of 0 in y 4.357 * [taylor]: Taking taylor expansion of 0 in y 4.360 * [taylor]: Taking taylor expansion of 0 in y 4.362 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 4.362 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 4.362 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 4.362 * [taylor]: Taking taylor expansion of x in y 4.362 * [taylor]: Taking taylor expansion of (+ x y) in y 4.362 * [taylor]: Taking taylor expansion of x in y 4.362 * [taylor]: Taking taylor expansion of y in y 4.362 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 4.362 * [taylor]: Taking taylor expansion of x in x 4.362 * [taylor]: Taking taylor expansion of (+ x y) in x 4.362 * [taylor]: Taking taylor expansion of x in x 4.362 * [taylor]: Taking taylor expansion of y in x 4.362 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 4.362 * [taylor]: Taking taylor expansion of x in x 4.362 * [taylor]: Taking taylor expansion of (+ x y) in x 4.362 * [taylor]: Taking taylor expansion of x in x 4.362 * [taylor]: Taking taylor expansion of y in x 4.362 * [taylor]: Taking taylor expansion of 0 in y 4.363 * [taylor]: Taking taylor expansion of y in y 4.364 * [taylor]: Taking taylor expansion of 1 in y 4.365 * [taylor]: Taking taylor expansion of 0 in y 4.367 * [taylor]: Taking taylor expansion of 0 in y 4.367 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 4.367 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 4.367 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.367 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.367 * [taylor]: Taking taylor expansion of y in y 4.368 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.368 * [taylor]: Taking taylor expansion of x in y 4.368 * [taylor]: Taking taylor expansion of x in y 4.368 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 4.368 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.368 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.368 * [taylor]: Taking taylor expansion of y in x 4.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.368 * [taylor]: Taking taylor expansion of x in x 4.368 * [taylor]: Taking taylor expansion of x in x 4.369 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 4.369 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.369 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.369 * [taylor]: Taking taylor expansion of y in x 4.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.369 * [taylor]: Taking taylor expansion of x in x 4.370 * [taylor]: Taking taylor expansion of x in x 4.370 * [taylor]: Taking taylor expansion of 1 in y 4.371 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.371 * [taylor]: Taking taylor expansion of y in y 4.373 * [taylor]: Taking taylor expansion of 0 in y 4.376 * [taylor]: Taking taylor expansion of 0 in y 4.380 * [taylor]: Taking taylor expansion of 0 in y 4.380 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 4.380 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 4.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.380 * [taylor]: Taking taylor expansion of y in y 4.381 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.381 * [taylor]: Taking taylor expansion of x in y 4.381 * [taylor]: Taking taylor expansion of x in y 4.381 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 4.381 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.381 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.381 * [taylor]: Taking taylor expansion of y in x 4.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.381 * [taylor]: Taking taylor expansion of x in x 4.382 * [taylor]: Taking taylor expansion of x in x 4.382 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 4.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.382 * [taylor]: Taking taylor expansion of y in x 4.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.382 * [taylor]: Taking taylor expansion of x in x 4.383 * [taylor]: Taking taylor expansion of x in x 4.383 * [taylor]: Taking taylor expansion of 1 in y 4.384 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.384 * [taylor]: Taking taylor expansion of y in y 4.386 * [taylor]: Taking taylor expansion of 0 in y 4.393 * [taylor]: Taking taylor expansion of 0 in y 4.396 * [taylor]: Taking taylor expansion of 0 in y 4.396 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.397 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 4.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 4.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.397 * [taylor]: Taking taylor expansion of x in y 4.397 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 4.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.397 * [taylor]: Taking taylor expansion of y in y 4.397 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.397 * [taylor]: Taking taylor expansion of 2 in y 4.397 * [taylor]: Taking taylor expansion of (* x y) in y 4.397 * [taylor]: Taking taylor expansion of x in y 4.397 * [taylor]: Taking taylor expansion of y in y 4.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 4.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.397 * [taylor]: Taking taylor expansion of x in x 4.397 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.397 * [taylor]: Taking taylor expansion of y in x 4.397 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.397 * [taylor]: Taking taylor expansion of 2 in x 4.397 * [taylor]: Taking taylor expansion of (* x y) in x 4.397 * [taylor]: Taking taylor expansion of x in x 4.397 * [taylor]: Taking taylor expansion of y in x 4.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 4.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.397 * [taylor]: Taking taylor expansion of x in x 4.397 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.397 * [taylor]: Taking taylor expansion of y in x 4.397 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.397 * [taylor]: Taking taylor expansion of 2 in x 4.397 * [taylor]: Taking taylor expansion of (* x y) in x 4.397 * [taylor]: Taking taylor expansion of x in x 4.397 * [taylor]: Taking taylor expansion of y in x 4.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.398 * [taylor]: Taking taylor expansion of y in y 4.399 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.399 * [taylor]: Taking taylor expansion of 2 in y 4.399 * [taylor]: Taking taylor expansion of y in y 4.401 * [taylor]: Taking taylor expansion of 1 in y 4.403 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 4.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.403 * [taylor]: Taking taylor expansion of x in y 4.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.403 * [taylor]: Taking taylor expansion of y in y 4.404 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.404 * [taylor]: Taking taylor expansion of 2 in y 4.404 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.404 * [taylor]: Taking taylor expansion of (* x y) in y 4.404 * [taylor]: Taking taylor expansion of x in y 4.404 * [taylor]: Taking taylor expansion of y in y 4.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.404 * [taylor]: Taking taylor expansion of x in x 4.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.405 * [taylor]: Taking taylor expansion of y in x 4.405 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.405 * [taylor]: Taking taylor expansion of 2 in x 4.405 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.405 * [taylor]: Taking taylor expansion of (* x y) in x 4.405 * [taylor]: Taking taylor expansion of x in x 4.405 * [taylor]: Taking taylor expansion of y in x 4.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.406 * [taylor]: Taking taylor expansion of x in x 4.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.406 * [taylor]: Taking taylor expansion of y in x 4.406 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.406 * [taylor]: Taking taylor expansion of 2 in x 4.406 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.406 * [taylor]: Taking taylor expansion of (* x y) in x 4.406 * [taylor]: Taking taylor expansion of x in x 4.406 * [taylor]: Taking taylor expansion of y in x 4.407 * [taylor]: Taking taylor expansion of 1 in y 4.408 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.408 * [taylor]: Taking taylor expansion of 2 in y 4.408 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.408 * [taylor]: Taking taylor expansion of y in y 4.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.411 * [taylor]: Taking taylor expansion of y in y 4.412 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 4.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.412 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.412 * [taylor]: Taking taylor expansion of x in y 4.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.413 * [taylor]: Taking taylor expansion of y in y 4.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.413 * [taylor]: Taking taylor expansion of 2 in y 4.413 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.413 * [taylor]: Taking taylor expansion of (* x y) in y 4.413 * [taylor]: Taking taylor expansion of x in y 4.413 * [taylor]: Taking taylor expansion of y in y 4.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.414 * [taylor]: Taking taylor expansion of x in x 4.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.414 * [taylor]: Taking taylor expansion of y in x 4.415 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.415 * [taylor]: Taking taylor expansion of 2 in x 4.415 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.415 * [taylor]: Taking taylor expansion of (* x y) in x 4.415 * [taylor]: Taking taylor expansion of x in x 4.415 * [taylor]: Taking taylor expansion of y in x 4.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.415 * [taylor]: Taking taylor expansion of x in x 4.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.416 * [taylor]: Taking taylor expansion of y in x 4.416 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.416 * [taylor]: Taking taylor expansion of 2 in x 4.416 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.416 * [taylor]: Taking taylor expansion of (* x y) in x 4.416 * [taylor]: Taking taylor expansion of x in x 4.416 * [taylor]: Taking taylor expansion of y in x 4.417 * [taylor]: Taking taylor expansion of 1 in y 4.418 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.418 * [taylor]: Taking taylor expansion of 2 in y 4.418 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.418 * [taylor]: Taking taylor expansion of y in y 4.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.421 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.421 * [taylor]: Taking taylor expansion of y in y 4.422 * * * [progress]: simplifying candidates 4.423 * [simplify]: Simplifying using # : (expm1 (* (+ x y) y)) (log1p (* (+ x y) y)) (* (+ x y) y) (+ (log (+ x y)) (log y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (* (+ x y) 1) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (expm1 (+ (* x (+ x y)) (* (+ x y) y))) (log1p (+ (* x (+ x y)) (* (+ x y) y))) (* (exp (* x (+ x y))) (exp (* (+ x y) y))) (log (+ (* x (+ x y)) (* (+ x y) y))) (exp (+ (* x (+ x y)) (* (+ x y) y))) (* (cbrt (+ (* x (+ x y)) (* (+ x y) y))) (cbrt (+ (* x (+ x y)) (* (+ x y) y)))) (cbrt (+ (* x (+ x y)) (* (+ x y) y))) (* (* (+ (* x (+ x y)) (* (+ x y) y)) (+ (* x (+ x y)) (* (+ x y) y))) (+ (* x (+ x y)) (* (+ x y) y))) (sqrt (+ (* x (+ x y)) (* (+ x y) y))) (sqrt (+ (* x (+ x y)) (* (+ x y) y))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* (+ x y) y) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* (+ x y) y) (* (+ x y) y)) (* (* x (+ x y)) (* (+ x y) y)))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* (+ x y) y) (* (+ x y) y))) (- (* x (+ x y)) (* (+ x y) y)) (+ (* x y) (* (+ x y) y)) (+ (* y x) (* (+ x y) y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 4.427 * * [simplify]: iteration 0 : 116 enodes (cost 900 ) 4.462 * * [simplify]: iteration 1 : 343 enodes (cost 766 ) 4.575 * * [simplify]: iteration 2 : 1313 enodes (cost 690 ) 5.268 * * [simplify]: iteration done : 5000 enodes (cost 652 ) 5.269 * [simplify]: Simplified to: (expm1 (* (+ x y) y)) (log1p (* (+ x y) y)) (* (+ x y) y) (log (* (+ x y) y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (pow (* (+ x y) y) 3) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (pow (* (+ x y) y) 3) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (+ x y) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* x (+ x y)) (log (* x (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (pow (* x (+ x y)) 3) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (pow (* x (+ x y)) 3) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* x y) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (* (+ x y) (+ x y)) 3) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (* (fma x x (* y (- y x))) (+ x y))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))) (fma (* x (+ (pow x 3) (pow y 3))) (- x y) (* (fma x x (* y (- y x))) (* (- (* x x) (* y y)) y))) (* (fma x x (* y (- y x))) (- x y)) (fma (* x (- (* x x) (* y y))) (fma x x (* y (- y x))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (fma x x (* y (- y x))) (- x y)) (* (* (- x y) (* (+ x y) (+ x y))) (- x y)) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (* (+ x y) (+ (* (* x x) (+ x y)) (* y (* (+ x y) (- y x))))) (* (- x y) (pow (+ x y) 3)) (- (* x x) (* y y)) (* y (+ x (+ x y))) (* y (+ x (+ x y))) (* (+ x y) y) (* (+ x y) y) (* (+ x y) y) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 5.270 * * * [progress]: adding candidates to table 5.426 * * [progress]: iteration 4 / 4 5.426 * * * [progress]: picking best candidate 5.428 * * * * [pick]: Picked # 5.428 * * * [progress]: localizing error 5.433 * * * [progress]: generating rewritten candidates 5.433 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 5.444 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.445 * * * [progress]: generating series expansions 5.445 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 5.445 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 5.445 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 5.445 * [taylor]: Taking taylor expansion of y in y 5.445 * [taylor]: Taking taylor expansion of (+ x y) in y 5.445 * [taylor]: Taking taylor expansion of x in y 5.445 * [taylor]: Taking taylor expansion of y in y 5.445 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 5.445 * [taylor]: Taking taylor expansion of y in x 5.445 * [taylor]: Taking taylor expansion of (+ x y) in x 5.445 * [taylor]: Taking taylor expansion of x in x 5.445 * [taylor]: Taking taylor expansion of y in x 5.445 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 5.445 * [taylor]: Taking taylor expansion of y in x 5.445 * [taylor]: Taking taylor expansion of (+ x y) in x 5.445 * [taylor]: Taking taylor expansion of x in x 5.445 * [taylor]: Taking taylor expansion of y in x 5.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.445 * [taylor]: Taking taylor expansion of y in y 5.446 * [taylor]: Taking taylor expansion of y in y 5.447 * [taylor]: Taking taylor expansion of 0 in y 5.448 * [taylor]: Taking taylor expansion of 0 in y 5.450 * [taylor]: Taking taylor expansion of 0 in y 5.450 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 5.451 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 5.451 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.451 * [taylor]: Taking taylor expansion of y in y 5.451 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.451 * [taylor]: Taking taylor expansion of x in y 5.451 * [taylor]: Taking taylor expansion of y in y 5.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 5.452 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.452 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.452 * [taylor]: Taking taylor expansion of y in x 5.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.452 * [taylor]: Taking taylor expansion of x in x 5.452 * [taylor]: Taking taylor expansion of y in x 5.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 5.452 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.452 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.452 * [taylor]: Taking taylor expansion of y in x 5.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.452 * [taylor]: Taking taylor expansion of x in x 5.453 * [taylor]: Taking taylor expansion of y in x 5.453 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.453 * [taylor]: Taking taylor expansion of y in y 5.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.454 * [taylor]: Taking taylor expansion of y in y 5.456 * [taylor]: Taking taylor expansion of 0 in y 5.458 * [taylor]: Taking taylor expansion of 0 in y 5.461 * [taylor]: Taking taylor expansion of 0 in y 5.463 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 5.463 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 5.463 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.463 * [taylor]: Taking taylor expansion of y in y 5.463 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.463 * [taylor]: Taking taylor expansion of x in y 5.463 * [taylor]: Taking taylor expansion of y in y 5.464 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 5.464 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.464 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.464 * [taylor]: Taking taylor expansion of y in x 5.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.464 * [taylor]: Taking taylor expansion of x in x 5.464 * [taylor]: Taking taylor expansion of y in x 5.465 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 5.465 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.465 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.465 * [taylor]: Taking taylor expansion of y in x 5.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.465 * [taylor]: Taking taylor expansion of x in x 5.465 * [taylor]: Taking taylor expansion of y in x 5.466 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.466 * [taylor]: Taking taylor expansion of y in y 5.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.467 * [taylor]: Taking taylor expansion of y in y 5.468 * [taylor]: Taking taylor expansion of 0 in y 5.471 * [taylor]: Taking taylor expansion of 0 in y 5.474 * [taylor]: Taking taylor expansion of 0 in y 5.475 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.475 * [approximate]: Taking taylor expansion of (fma x (+ x y) (* y (+ x y))) in (x y) around 0 5.475 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* y (+ x y))) in y 5.475 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* y (+ x y))) 5.475 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 5.475 * [taylor]: Taking taylor expansion of x in y 5.476 * [taylor]: Taking taylor expansion of (+ x y) in y 5.476 * [taylor]: Taking taylor expansion of x in y 5.476 * [taylor]: Taking taylor expansion of y in y 5.476 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 5.476 * [taylor]: Taking taylor expansion of y in y 5.476 * [taylor]: Taking taylor expansion of (+ x y) in y 5.476 * [taylor]: Taking taylor expansion of x in y 5.476 * [taylor]: Taking taylor expansion of y in y 5.476 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* y (+ x y))) in x 5.476 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* y (+ x y))) 5.476 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.476 * [taylor]: Taking taylor expansion of (+ x y) in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.476 * [taylor]: Taking taylor expansion of y in x 5.476 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 5.476 * [taylor]: Taking taylor expansion of y in x 5.476 * [taylor]: Taking taylor expansion of (+ x y) in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.476 * [taylor]: Taking taylor expansion of y in x 5.476 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* y (+ x y))) in x 5.476 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* y (+ x y))) 5.476 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.476 * [taylor]: Taking taylor expansion of (+ x y) in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.476 * [taylor]: Taking taylor expansion of y in x 5.476 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 5.476 * [taylor]: Taking taylor expansion of y in x 5.476 * [taylor]: Taking taylor expansion of (+ x y) in x 5.476 * [taylor]: Taking taylor expansion of x in x 5.476 * [taylor]: Taking taylor expansion of y in x 5.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.476 * [taylor]: Taking taylor expansion of y in y 5.478 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.478 * [taylor]: Taking taylor expansion of 2 in y 5.478 * [taylor]: Taking taylor expansion of y in y 5.480 * [taylor]: Taking taylor expansion of 1 in y 5.481 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 5.481 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) in y 5.481 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) 5.481 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) in y 5.481 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.481 * [taylor]: Taking taylor expansion of x in y 5.481 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.481 * [taylor]: Taking taylor expansion of y in y 5.482 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.482 * [taylor]: Taking taylor expansion of x in y 5.482 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 5.482 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.482 * [taylor]: Taking taylor expansion of y in y 5.482 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.482 * [taylor]: Taking taylor expansion of x in y 5.482 * [taylor]: Taking taylor expansion of y in y 5.483 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) in x 5.483 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) 5.483 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x 5.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.483 * [taylor]: Taking taylor expansion of x in x 5.484 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.484 * [taylor]: Taking taylor expansion of y in x 5.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.484 * [taylor]: Taking taylor expansion of x in x 5.484 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 5.484 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.484 * [taylor]: Taking taylor expansion of y in x 5.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.484 * [taylor]: Taking taylor expansion of x in x 5.484 * [taylor]: Taking taylor expansion of y in x 5.485 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ (+ (/ 1 y) (/ 1 x)) y)) in x 5.485 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) 5.485 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x 5.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.485 * [taylor]: Taking taylor expansion of x in x 5.485 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.485 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.485 * [taylor]: Taking taylor expansion of y in x 5.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.485 * [taylor]: Taking taylor expansion of x in x 5.486 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 5.486 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.486 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.486 * [taylor]: Taking taylor expansion of y in x 5.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.486 * [taylor]: Taking taylor expansion of x in x 5.486 * [taylor]: Taking taylor expansion of y in x 5.487 * [taylor]: Taking taylor expansion of 1 in y 5.488 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.488 * [taylor]: Taking taylor expansion of 2 in y 5.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.489 * [taylor]: Taking taylor expansion of y in y 5.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.492 * [taylor]: Taking taylor expansion of y in y 5.493 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 5.493 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) in y 5.493 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) (/ (+ (/ 1 y) (/ 1 x)) y)) 5.493 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) in y 5.493 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.493 * [taylor]: Taking taylor expansion of -1 in y 5.493 * [taylor]: Taking taylor expansion of x in y 5.493 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 5.493 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.493 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.493 * [taylor]: Taking taylor expansion of y in y 5.494 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.494 * [taylor]: Taking taylor expansion of x in y 5.494 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 5.494 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 5.494 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.494 * [taylor]: Taking taylor expansion of y in y 5.494 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.494 * [taylor]: Taking taylor expansion of x in y 5.494 * [taylor]: Taking taylor expansion of y in y 5.495 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) in x 5.495 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) (/ (+ (/ 1 y) (/ 1 x)) y)) 5.495 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) in x 5.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.495 * [taylor]: Taking taylor expansion of -1 in x 5.495 * [taylor]: Taking taylor expansion of x in x 5.495 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 5.495 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.495 * [taylor]: Taking taylor expansion of y in x 5.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.496 * [taylor]: Taking taylor expansion of x in x 5.496 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 5.496 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.496 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.496 * [taylor]: Taking taylor expansion of y in x 5.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.496 * [taylor]: Taking taylor expansion of x in x 5.496 * [taylor]: Taking taylor expansion of y in x 5.497 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ (+ (/ 1 y) (/ 1 x)) y)) in x 5.497 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) (/ (+ (/ 1 y) (/ 1 x)) y)) 5.497 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) in x 5.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.497 * [taylor]: Taking taylor expansion of -1 in x 5.497 * [taylor]: Taking taylor expansion of x in x 5.497 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 5.497 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.497 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.497 * [taylor]: Taking taylor expansion of y in x 5.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.498 * [taylor]: Taking taylor expansion of x in x 5.498 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 5.498 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 5.498 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.498 * [taylor]: Taking taylor expansion of y in x 5.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.498 * [taylor]: Taking taylor expansion of x in x 5.498 * [taylor]: Taking taylor expansion of y in x 5.500 * [taylor]: Taking taylor expansion of 1 in y 5.501 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.501 * [taylor]: Taking taylor expansion of 2 in y 5.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.501 * [taylor]: Taking taylor expansion of y in y 5.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.509 * [taylor]: Taking taylor expansion of y in y 5.510 * * * [progress]: simplifying candidates 5.511 * [simplify]: Simplifying using # : (expm1 (* (+ x y) y)) (log1p (* (+ x y) y)) (* (+ x y) y) (+ (log (+ x y)) (log y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (* (+ x y) 1) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (expm1 (fma x (+ x y) (* (+ x y) y))) (log1p (fma x (+ x y) (* (+ x y) y))) (* x (+ x y)) (log (fma x (+ x y) (* (+ x y) y))) (exp (fma x (+ x y) (* (+ x y) y))) (* (cbrt (fma x (+ x y) (* (+ x y) y))) (cbrt (fma x (+ x y) (* (+ x y) y)))) (cbrt (fma x (+ x y) (* (+ x y) y))) (* (* (fma x (+ x y) (* (+ x y) y)) (fma x (+ x y) (* (+ x y) y))) (fma x (+ x y) (* (+ x y) y))) (sqrt (fma x (+ x y) (* (+ x y) y))) (sqrt (fma x (+ x y) (* (+ x y) y))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 5.513 * * [simplify]: iteration 0 : 60 enodes (cost 372 ) 5.523 * * [simplify]: iteration 1 : 130 enodes (cost 331 ) 5.556 * * [simplify]: iteration 2 : 436 enodes (cost 276 ) 5.913 * * [simplify]: iteration 3 : 1615 enodes (cost 266 ) 7.333 * * [simplify]: iteration done : 5000 enodes (cost 260 ) 7.334 * [simplify]: Simplified to: (expm1 (* (+ x y) y)) (log1p (* (+ x y) y)) (* y (+ x y)) (log (* (+ x y) y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (pow (* (+ x y) y) 3) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (pow (* (+ x y) y) 3) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (+ x y) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* y (+ x y)) (* y (+ x y)) (fma y (pow x 3) (pow y 4)) (* (- (* x x) (* y y)) y) (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (* x (+ x y)) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 7.334 * * * [progress]: adding candidates to table 7.425 * [progress]: [Phase 3 of 3] Extracting. 7.425 * * [regime]: Finding splitpoints for: (# #) 7.425 * * * [regime-changes]: Trying 2 branch expressions: (y x) 7.425 * * * * [regimes]: Trying to branch on y from (# #) 7.437 * * * * [regimes]: Trying to branch on x from (# #) 7.452 * * * [regime]: Found split indices: #