40.884 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.059 * * * [progress]: [2/2] Setting up program. 0.063 * [progress]: [Phase 2 of 3] Improving. 0.063 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.064 * * [simplify]: Extracting # 0 : cost 0 0.064 * * [simplify]: Extracting # 1 : cost 0 0.064 * * [simplify]: Extracting # 2 : cost 0 0.064 * * [simplify]: Extracting # 3 : cost 0 0.064 * * [simplify]: Extracting # 4 : cost 0 0.064 * * [simplify]: Extracting # 5 : cost 0 0.064 * * [simplify]: Extracting # 6 : cost 0 0.064 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.068 * * [simplify]: Extracting # 0 : cost 0 0.068 * * [simplify]: Extracting # 1 : cost 0 0.068 * * [simplify]: Extracting # 2 : cost 0 0.068 * * [simplify]: iteration 1 : 18 enodes (cost 12 ) 0.076 * * [simplify]: Extracting # 0 : cost 0 0.077 * * [simplify]: Extracting # 1 : cost 0 0.077 * * [simplify]: Extracting # 2 : cost 0 0.077 * * [simplify]: Extracting # 3 : cost 0 0.077 * * [simplify]: iteration 2 : 45 enodes (cost 10 ) 0.114 * * [simplify]: Extracting # 0 : cost 0 0.115 * * [simplify]: Extracting # 1 : cost 0 0.115 * * [simplify]: Extracting # 2 : cost 0 0.115 * * [simplify]: iteration 3 : 75 enodes (cost 9 ) 0.140 * * [simplify]: Extracting # 0 : cost 0 0.140 * * [simplify]: iteration 4 : 77 enodes (cost 9 ) 0.161 * * [simplify]: Extracting # 0 : cost 0 0.162 * * [simplify]: iteration done: 77 enodes (cost 9 ) 0.162 * [simplify]: Simplified to: (fma x (fma y 2.0 x) (* y y)) 0.165 * * [progress]: iteration 1 / 4 0.165 * * * [progress]: picking best candidate 0.169 * * * * [pick]: Picked # 0.169 * * * [progress]: localizing error 0.177 * * * [progress]: generating rewritten candidates 0.177 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.178 * * * [progress]: generating series expansions 0.178 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.178 * [backup-simplify]: Simplify (fma x (fma y 2.0 x) (* y y)) into (fma x (fma y 2.0 x) (pow y 2)) 0.178 * [approximate]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in y 0.178 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 0.178 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [backup-simplify]: Simplify x into x 0.178 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.178 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.178 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of 2.0 in y 0.178 * [backup-simplify]: Simplify 2.0 into 2.0 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [backup-simplify]: Simplify x into x 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in x 0.179 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 0.179 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 0.179 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.179 * [taylor]: Taking taylor expansion of (* y 2.0) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [backup-simplify]: Simplify y into y 0.179 * [taylor]: Taking taylor expansion of 2.0 in x 0.179 * [backup-simplify]: Simplify 2.0 into 2.0 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [backup-simplify]: Simplify y into y 0.179 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in x 0.179 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 0.179 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 0.179 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.179 * [taylor]: Taking taylor expansion of (* y 2.0) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [backup-simplify]: Simplify y into y 0.179 * [taylor]: Taking taylor expansion of 2.0 in x 0.179 * [backup-simplify]: Simplify 2.0 into 2.0 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [backup-simplify]: Simplify y into y 0.180 * [backup-simplify]: Simplify (* y 2.0) into (* 2.0 y) 0.180 * [backup-simplify]: Simplify (+ (* 2.0 y) 0) into (* 2.0 y) 0.180 * [backup-simplify]: Simplify (* 0 (* 2.0 y)) into 0 0.180 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.180 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ (* y 0) (* 0 2.0)) into 0 0.181 * [backup-simplify]: Simplify (+ 0 1) into 1 0.181 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 y))) into (* 2.0 y) 0.182 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.182 * [backup-simplify]: Simplify (+ (* 2.0 y) 0) into (* 2.0 y) 0.182 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.182 * [taylor]: Taking taylor expansion of 2.0 in y 0.182 * [backup-simplify]: Simplify 2.0 into 2.0 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 2.0))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 y)))) into 1 0.184 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.184 * [backup-simplify]: Simplify (+ 1 0) into 1 0.184 * [taylor]: Taking taylor expansion of 1 in y 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.185 * [backup-simplify]: Simplify 2.0 into 2.0 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.186 * [backup-simplify]: Simplify (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) 0.186 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in y 0.186 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.186 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [backup-simplify]: Simplify x into x 0.187 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.187 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.187 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.187 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [taylor]: Taking taylor expansion of 2.0 in y 0.188 * [backup-simplify]: Simplify 2.0 into 2.0 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [backup-simplify]: Simplify x into x 0.188 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.189 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.189 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.190 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.190 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [backup-simplify]: Simplify y into y 0.190 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.190 * [taylor]: Taking taylor expansion of 2.0 in x 0.190 * [backup-simplify]: Simplify 2.0 into 2.0 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [backup-simplify]: Simplify y into y 0.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.192 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.192 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.192 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.192 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.193 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.193 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [backup-simplify]: Simplify y into y 0.193 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.193 * [taylor]: Taking taylor expansion of 2.0 in x 0.193 * [backup-simplify]: Simplify 2.0 into 2.0 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [backup-simplify]: Simplify y into y 0.194 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.194 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.195 * [backup-simplify]: Simplify (+ 0 1) into 1 0.195 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [taylor]: Taking taylor expansion of 1 in y 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* (/ 1 y) 2.0) into (/ 2.0 y) 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ (/ 2.0 y) 0) into (* 2.0 (/ 1 y)) 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 (* 2.0 (/ 1 y))) (* 0 1)) into (* 2.0 (/ 1 y)) 0.199 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) 0.199 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.199 * [taylor]: Taking taylor expansion of 2.0 in y 0.199 * [backup-simplify]: Simplify 2.0 into 2.0 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 2.0)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2.0 (/ 1 y))) (* 0 1))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.206 * [backup-simplify]: Simplify 2.0 into 2.0 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.207 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (fma (/ 1 (- y)) 2.0 (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) 0.207 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in y 0.207 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 0.207 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in y 0.208 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.208 * [taylor]: Taking taylor expansion of -1 in y 0.208 * [backup-simplify]: Simplify -1 into -1 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [backup-simplify]: Simplify x into x 0.208 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.208 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.208 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.208 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.208 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.208 * [taylor]: Taking taylor expansion of -1 in y 0.208 * [backup-simplify]: Simplify -1 into -1 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ -1 1) into -1 0.209 * [taylor]: Taking taylor expansion of 2.0 in y 0.209 * [backup-simplify]: Simplify 2.0 into 2.0 0.209 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.209 * [taylor]: Taking taylor expansion of -1 in y 0.209 * [backup-simplify]: Simplify -1 into -1 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [backup-simplify]: Simplify x into x 0.209 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in x 0.211 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 0.211 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in x 0.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.211 * [taylor]: Taking taylor expansion of -1 in x 0.211 * [backup-simplify]: Simplify -1 into -1 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [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 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 0.212 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.212 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 0.212 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [backup-simplify]: Simplify -1 into -1 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [backup-simplify]: Simplify y into y 0.212 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.212 * [taylor]: Taking taylor expansion of 2.0 in x 0.212 * [backup-simplify]: Simplify 2.0 into 2.0 0.212 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [backup-simplify]: Simplify -1 into -1 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (/ -1 1) into -1 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [backup-simplify]: Simplify y into y 0.213 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.213 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in x 0.213 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 0.214 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in x 0.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.214 * [taylor]: Taking taylor expansion of -1 in x 0.214 * [backup-simplify]: Simplify -1 into -1 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ -1 1) into -1 0.215 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 0.215 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.215 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 0.215 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.215 * [taylor]: Taking taylor expansion of -1 in x 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.215 * [taylor]: Taking taylor expansion of 2.0 in x 0.216 * [backup-simplify]: Simplify 2.0 into 2.0 0.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.216 * [taylor]: Taking taylor expansion of -1 in x 0.216 * [backup-simplify]: Simplify -1 into -1 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 0.216 * [backup-simplify]: Simplify (/ -1 1) into -1 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.217 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.218 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.218 * [backup-simplify]: Simplify (* -1 -1) into 1 0.219 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [taylor]: Taking taylor expansion of 1 in y 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* (/ -1 y) 2.0) into (/ -2.0 y) 0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ (/ -2.0 y) 0) into (- (* 2.0 (/ 1 y))) 0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ (* -1 (- (* 2.0 (/ 1 y)))) (* 0 -1)) into (* 2.0 (/ 1 y)) 0.222 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) 0.222 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.222 * [taylor]: Taking taylor expansion of 2.0 in y 0.222 * [backup-simplify]: Simplify 2.0 into 2.0 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.224 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 2.0)) into 0 0.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2.0 (/ 1 y)))) (* 0 -1))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.230 * [backup-simplify]: Simplify 2.0 into 2.0 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.231 * * * [progress]: simplifying candidates 0.232 * [simplify]: Simplifying: (expm1 (fma x (fma y 2.0 x) (* y y))) (log1p (fma x (fma y 2.0 x) (* y y))) (* x (fma y 2.0 x)) (log (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y)))) (cbrt (fma x (fma y 2.0 x) (* y y))) (* (* (fma x (fma y 2.0 x) (* y y)) (fma x (fma y 2.0 x) (* y y))) (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.233 * * [simplify]: Extracting # 0 : cost 0 0.233 * * [simplify]: Extracting # 1 : cost 0 0.233 * * [simplify]: Extracting # 2 : cost 0 0.233 * * [simplify]: Extracting # 3 : cost 0 0.233 * * [simplify]: Extracting # 4 : cost 0 0.233 * * [simplify]: Extracting # 5 : cost 0 0.233 * * [simplify]: iteration 0 : 23 enodes (cost 165 ) 0.243 * * [simplify]: Extracting # 0 : cost 0 0.243 * * [simplify]: Extracting # 1 : cost 0 0.243 * * [simplify]: Extracting # 2 : cost 0 0.243 * * [simplify]: Extracting # 3 : cost 0 0.243 * * [simplify]: Extracting # 4 : cost 0 0.244 * * [simplify]: iteration 1 : 43 enodes (cost 165 ) 0.278 * * [simplify]: Extracting # 0 : cost 0 0.278 * * [simplify]: Extracting # 1 : cost 0 0.279 * * [simplify]: Extracting # 2 : cost 0 0.279 * * [simplify]: Extracting # 3 : cost 0 0.279 * * [simplify]: iteration 2 : 101 enodes (cost 135 ) 0.320 * * [simplify]: Extracting # 0 : cost 0 0.321 * * [simplify]: Extracting # 1 : cost 0 0.321 * * [simplify]: Extracting # 2 : cost 0 0.321 * * [simplify]: Extracting # 3 : cost 0 0.322 * * [simplify]: iteration 3 : 313 enodes (cost 135 ) 0.715 * * [simplify]: Extracting # 0 : cost 0 0.719 * * [simplify]: Extracting # 1 : cost 0 0.723 * * [simplify]: Extracting # 2 : cost 0 0.726 * * [simplify]: Extracting # 3 : cost 0 0.729 * * [simplify]: Extracting # 4 : cost 0 0.732 * * [simplify]: iteration 4 : 1664 enodes (cost 135 ) 1.716 * * [simplify]: Extracting # 0 : cost 0 1.726 * * [simplify]: Extracting # 1 : cost 0 1.748 * * [simplify]: Extracting # 2 : cost 0 1.761 * * [simplify]: Extracting # 3 : cost 0 1.773 * * [simplify]: Extracting # 4 : cost 0 1.786 * * [simplify]: iteration done: 5000 enodes (cost 135 ) 1.786 * [simplify]: Simplified to: (expm1 (fma x (fma y 2.0 x) (* y y))) (log1p (fma x (fma y 2.0 x) (* y y))) (* (fma y 2.0 x) x) (log (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y)))) (cbrt (fma x (fma y 2.0 x) (* y y))) (pow (fma (fma y 2.0 x) x (* y y)) 3) (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) 1.787 * * * [progress]: adding candidates to table 1.859 * * [progress]: iteration 2 / 4 1.859 * * * [progress]: picking best candidate 1.861 * * * * [pick]: Picked # 1.861 * * * [progress]: localizing error 1.871 * * * [progress]: generating rewritten candidates 1.871 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.882 * * * [progress]: generating series expansions 1.882 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.882 * [backup-simplify]: Simplify (+ (* x x) (* (* x 2.0) y)) into (+ (pow x 2) (* 2.0 (* x y))) 1.882 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 1.882 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 1.882 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.882 * [taylor]: Taking taylor expansion of x in y 1.882 * [backup-simplify]: Simplify x into x 1.882 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.882 * [taylor]: Taking taylor expansion of 2.0 in y 1.882 * [backup-simplify]: Simplify 2.0 into 2.0 1.882 * [taylor]: Taking taylor expansion of (* x y) in y 1.882 * [taylor]: Taking taylor expansion of x in y 1.882 * [backup-simplify]: Simplify x into x 1.882 * [taylor]: Taking taylor expansion of y in y 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 1.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.883 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.883 * [taylor]: Taking taylor expansion of 2.0 in x 1.883 * [backup-simplify]: Simplify 2.0 into 2.0 1.883 * [taylor]: Taking taylor expansion of (* x y) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [taylor]: Taking taylor expansion of y in x 1.883 * [backup-simplify]: Simplify y into y 1.883 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 1.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.883 * [taylor]: Taking taylor expansion of 2.0 in x 1.883 * [backup-simplify]: Simplify 2.0 into 2.0 1.883 * [taylor]: Taking taylor expansion of (* x y) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [taylor]: Taking taylor expansion of y in x 1.883 * [backup-simplify]: Simplify y into y 1.883 * [backup-simplify]: Simplify (* 0 y) into 0 1.884 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.884 * [taylor]: Taking taylor expansion of 0 in y 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.885 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 1.885 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.885 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 1.885 * [taylor]: Taking taylor expansion of 2.0 in y 1.885 * [backup-simplify]: Simplify 2.0 into 2.0 1.885 * [taylor]: Taking taylor expansion of y in y 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (* 1 1) into 1 1.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.887 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 1.888 * [backup-simplify]: Simplify (+ 1 0) into 1 1.888 * [taylor]: Taking taylor expansion of 1 in y 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.889 * [backup-simplify]: Simplify 2.0 into 2.0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 1.893 * [backup-simplify]: Simplify (+ 0 0) into 0 1.893 * [taylor]: Taking taylor expansion of 0 in y 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.900 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [taylor]: Taking taylor expansion of 0 in y 1.900 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 1.901 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 1.901 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.902 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.902 * [taylor]: Taking taylor expansion of x in y 1.902 * [backup-simplify]: Simplify x into x 1.902 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.902 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.902 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.902 * [taylor]: Taking taylor expansion of 2.0 in y 1.902 * [backup-simplify]: Simplify 2.0 into 2.0 1.902 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.902 * [taylor]: Taking taylor expansion of (* x y) in y 1.902 * [taylor]: Taking taylor expansion of x in y 1.902 * [backup-simplify]: Simplify x into x 1.902 * [taylor]: Taking taylor expansion of y in y 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (* x 0) into 0 1.903 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.903 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.903 * [taylor]: Taking taylor expansion of x in x 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (* 1 1) into 1 1.904 * [backup-simplify]: Simplify (/ 1 1) into 1 1.904 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.904 * [taylor]: Taking taylor expansion of 2.0 in x 1.905 * [backup-simplify]: Simplify 2.0 into 2.0 1.905 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.905 * [taylor]: Taking taylor expansion of (* x y) in x 1.905 * [taylor]: Taking taylor expansion of x in x 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [taylor]: Taking taylor expansion of y in x 1.905 * [backup-simplify]: Simplify y into y 1.905 * [backup-simplify]: Simplify (* 0 y) into 0 1.905 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.905 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (* 1 1) into 1 1.907 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.907 * [taylor]: Taking taylor expansion of 2.0 in x 1.907 * [backup-simplify]: Simplify 2.0 into 2.0 1.907 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.907 * [taylor]: Taking taylor expansion of (* x y) in x 1.907 * [taylor]: Taking taylor expansion of x in x 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [taylor]: Taking taylor expansion of y in x 1.907 * [backup-simplify]: Simplify y into y 1.907 * [backup-simplify]: Simplify (* 0 y) into 0 1.908 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.908 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.908 * [backup-simplify]: Simplify (+ 1 0) into 1 1.908 * [taylor]: Taking taylor expansion of 1 in y 1.909 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.910 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.911 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.911 * [taylor]: Taking taylor expansion of 2.0 in y 1.911 * [backup-simplify]: Simplify 2.0 into 2.0 1.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.911 * [taylor]: Taking taylor expansion of y in y 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.912 * [backup-simplify]: Simplify 2.0 into 2.0 1.912 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.916 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [taylor]: Taking taylor expansion of 0 in y 1.917 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.918 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [taylor]: Taking taylor expansion of 0 in y 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [taylor]: Taking taylor expansion of 0 in y 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 1.935 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 1.935 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.935 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.935 * [taylor]: Taking taylor expansion of x in y 1.935 * [backup-simplify]: Simplify x into x 1.935 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.935 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.935 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.935 * [taylor]: Taking taylor expansion of 2.0 in y 1.935 * [backup-simplify]: Simplify 2.0 into 2.0 1.935 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.935 * [taylor]: Taking taylor expansion of (* x y) in y 1.936 * [taylor]: Taking taylor expansion of x in y 1.936 * [backup-simplify]: Simplify x into x 1.936 * [taylor]: Taking taylor expansion of y in y 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (* x 0) into 0 1.936 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.936 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.936 * [taylor]: Taking taylor expansion of x in x 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (* 1 1) into 1 1.937 * [backup-simplify]: Simplify (/ 1 1) into 1 1.937 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.937 * [taylor]: Taking taylor expansion of 2.0 in x 1.938 * [backup-simplify]: Simplify 2.0 into 2.0 1.938 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.938 * [taylor]: Taking taylor expansion of (* x y) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [taylor]: Taking taylor expansion of y in x 1.938 * [backup-simplify]: Simplify y into y 1.938 * [backup-simplify]: Simplify (* 0 y) into 0 1.938 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.938 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.938 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (* 1 1) into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.939 * [taylor]: Taking taylor expansion of 2.0 in x 1.939 * [backup-simplify]: Simplify 2.0 into 2.0 1.939 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.939 * [taylor]: Taking taylor expansion of (* x y) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.940 * [taylor]: Taking taylor expansion of y in x 1.940 * [backup-simplify]: Simplify y into y 1.940 * [backup-simplify]: Simplify (* 0 y) into 0 1.940 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.940 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.941 * [backup-simplify]: Simplify (+ 1 0) into 1 1.941 * [taylor]: Taking taylor expansion of 1 in y 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.942 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.942 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.942 * [taylor]: Taking taylor expansion of 2.0 in y 1.942 * [backup-simplify]: Simplify 2.0 into 2.0 1.942 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.943 * [taylor]: Taking taylor expansion of y in y 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (/ 1 1) into 1 1.943 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.943 * [backup-simplify]: Simplify 2.0 into 2.0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [taylor]: Taking taylor expansion of 0 in y 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.954 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [taylor]: Taking taylor expansion of 0 in y 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.960 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [taylor]: Taking taylor expansion of 0 in y 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 1.960 * * * [progress]: simplifying candidates 1.961 * [simplify]: Simplifying: (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 1.961 * * [simplify]: Extracting # 0 : cost 0 1.961 * * [simplify]: Extracting # 1 : cost 0 1.962 * * [simplify]: Extracting # 2 : cost 0 1.962 * * [simplify]: Extracting # 3 : cost 0 1.962 * * [simplify]: Extracting # 4 : cost 0 1.962 * * [simplify]: Extracting # 5 : cost 0 1.962 * * [simplify]: Extracting # 6 : cost 0 1.962 * * [simplify]: Extracting # 7 : cost 0 1.962 * * [simplify]: iteration 0 : 35 enodes (cost 228 ) 1.980 * * [simplify]: Extracting # 0 : cost 0 1.980 * * [simplify]: Extracting # 1 : cost 0 1.981 * * [simplify]: Extracting # 2 : cost 0 1.981 * * [simplify]: Extracting # 3 : cost 0 1.981 * * [simplify]: Extracting # 4 : cost 0 1.981 * * [simplify]: iteration 1 : 115 enodes (cost 203 ) 2.065 * * [simplify]: Extracting # 0 : cost 0 2.066 * * [simplify]: Extracting # 1 : cost 0 2.067 * * [simplify]: Extracting # 2 : cost 0 2.068 * * [simplify]: Extracting # 3 : cost 0 2.070 * * [simplify]: Extracting # 4 : cost 0 2.071 * * [simplify]: iteration 2 : 498 enodes (cost 160 ) 2.788 * * [simplify]: Extracting # 0 : cost 0 2.791 * * [simplify]: Extracting # 1 : cost 0 2.794 * * [simplify]: Extracting # 2 : cost 0 2.796 * * [simplify]: Extracting # 3 : cost 0 2.799 * * [simplify]: Extracting # 4 : cost 0 2.801 * * [simplify]: iteration 3 : 2257 enodes (cost 145 ) 5.528 * * [simplify]: Extracting # 0 : cost 0 5.540 * * [simplify]: Extracting # 1 : cost 0 5.550 * * [simplify]: Extracting # 2 : cost 0 5.560 * * [simplify]: Extracting # 3 : cost 0 5.566 * * [simplify]: Extracting # 4 : cost 0 5.576 * * [simplify]: iteration done: 5001 enodes (cost 145 ) 5.576 * [simplify]: Simplified to: (expm1 (* x (fma y 2.0 x))) (log1p (* x (fma y 2.0 x))) (exp (* x (fma y 2.0 x))) (log (* x (fma y 2.0 x))) (exp (* x (fma y 2.0 x))) (* (cbrt (* x (fma y 2.0 x))) (cbrt (* x (fma y 2.0 x)))) (cbrt (* x (fma y 2.0 x))) (pow (* x (fma y 2.0 x)) 3) (sqrt (* x (fma y 2.0 x))) (sqrt (* x (fma y 2.0 x))) (+ (pow (* (* x 2.0) y) 3) (pow x 6)) (fma (* 2.0 (* x y)) (* x (- (* 2.0 y) x)) (pow x 4)) (* x (* (fma y 2.0 x) (* x (- x (* 2.0 y))))) (* x (- x (* 2.0 y))) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) 5.576 * * * [progress]: adding candidates to table 5.643 * [progress]: [Phase 3 of 3] Extracting. 5.643 * * [regime]: Finding splitpoints for: (# #) 5.644 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 5.644 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 5.660 * * * * [regimes]: Trying to branch on y from (# #) 5.673 * * * * [regimes]: Trying to branch on x from (# #) 5.690 * * * [regime]: Found split indices: #