43.607 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.056 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.061 * * [simplify]: Extracting # 0 : cost 0 0.061 * * [simplify]: Extracting # 1 : cost 0 0.061 * * [simplify]: Extracting # 2 : cost 0 0.061 * * [simplify]: Extracting # 3 : cost 0 0.061 * * [simplify]: Extracting # 4 : cost 0 0.061 * * [simplify]: Extracting # 5 : cost 0 0.061 * * [simplify]: Extracting # 6 : cost 0 0.061 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.065 * * [simplify]: Extracting # 0 : cost 0 0.065 * * [simplify]: Extracting # 1 : cost 0 0.065 * * [simplify]: Extracting # 2 : cost 0 0.065 * * [simplify]: iteration 1 : 18 enodes (cost 12 ) 0.073 * * [simplify]: Extracting # 0 : cost 0 0.073 * * [simplify]: Extracting # 1 : cost 0 0.073 * * [simplify]: Extracting # 2 : cost 0 0.074 * * [simplify]: Extracting # 3 : cost 0 0.074 * * [simplify]: iteration 2 : 45 enodes (cost 10 ) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: Extracting # 1 : cost 0 0.093 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: iteration 3 : 78 enodes (cost 9 ) 0.116 * * [simplify]: Extracting # 0 : cost 0 0.116 * * [simplify]: Extracting # 1 : cost 0 0.116 * * [simplify]: Extracting # 2 : cost 0 0.117 * * [simplify]: iteration 4 : 86 enodes (cost 9 ) 0.142 * * [simplify]: Extracting # 0 : cost 0 0.142 * * [simplify]: iteration 5 : 94 enodes (cost 9 ) 0.173 * * [simplify]: Extracting # 0 : cost 0 0.173 * * [simplify]: iteration done: 94 enodes (cost 9 ) 0.173 * [simplify]: Simplified to: (fma x (fma y 2.0 x) (* y y)) 0.176 * * [progress]: iteration 1 / 4 0.176 * * * [progress]: picking best candidate 0.180 * * * * [pick]: Picked # 0.180 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.190 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.200 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.262 * * * [progress]: generating series expansions 0.262 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.262 * [backup-simplify]: Simplify (+ (* x x) (* (* x 2.0) y)) into (+ (pow x 2) (* 2.0 (* x y))) 0.262 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.263 * [taylor]: Taking taylor expansion of 2.0 in y 0.263 * [backup-simplify]: Simplify 2.0 into 2.0 0.263 * [taylor]: Taking taylor expansion of (* x y) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.263 * [taylor]: Taking taylor expansion of 2.0 in x 0.263 * [backup-simplify]: Simplify 2.0 into 2.0 0.263 * [taylor]: Taking taylor expansion of (* x y) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.263 * [taylor]: Taking taylor expansion of 2.0 in x 0.263 * [backup-simplify]: Simplify 2.0 into 2.0 0.263 * [taylor]: Taking taylor expansion of (* x y) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [backup-simplify]: Simplify (* 0 y) into 0 0.264 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.265 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.265 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.265 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.265 * [taylor]: Taking taylor expansion of 2.0 in y 0.265 * [backup-simplify]: Simplify 2.0 into 2.0 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.268 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [taylor]: Taking taylor expansion of 1 in y 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.269 * [backup-simplify]: Simplify 2.0 into 2.0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.275 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.275 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.276 * [backup-simplify]: Simplify x into x 0.276 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.276 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.276 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.276 * [taylor]: Taking taylor expansion of 2.0 in y 0.276 * [backup-simplify]: Simplify 2.0 into 2.0 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.276 * [taylor]: Taking taylor expansion of (* x y) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [backup-simplify]: Simplify x into x 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (* x 0) into 0 0.276 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.276 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.277 * [taylor]: Taking taylor expansion of 2.0 in x 0.277 * [backup-simplify]: Simplify 2.0 into 2.0 0.277 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.277 * [taylor]: Taking taylor expansion of (* x y) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [backup-simplify]: Simplify y into y 0.277 * [backup-simplify]: Simplify (* 0 y) into 0 0.278 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.278 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.278 * [taylor]: Taking taylor expansion of 2.0 in x 0.278 * [backup-simplify]: Simplify 2.0 into 2.0 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.278 * [taylor]: Taking taylor expansion of (* x y) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [backup-simplify]: Simplify y into y 0.278 * [backup-simplify]: Simplify (* 0 y) into 0 0.279 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.279 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.279 * [backup-simplify]: Simplify (+ 1 0) into 1 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.281 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.281 * [taylor]: Taking taylor expansion of 2.0 in y 0.281 * [backup-simplify]: Simplify 2.0 into 2.0 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.281 * [backup-simplify]: Simplify 2.0 into 2.0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [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))) 0.294 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.294 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [backup-simplify]: Simplify x into x 0.294 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.294 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.294 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.294 * [taylor]: Taking taylor expansion of 2.0 in y 0.294 * [backup-simplify]: Simplify 2.0 into 2.0 0.294 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.294 * [taylor]: Taking taylor expansion of (* x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [backup-simplify]: Simplify x into x 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (* x 0) into 0 0.295 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.295 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.296 * [taylor]: Taking taylor expansion of 2.0 in x 0.296 * [backup-simplify]: Simplify 2.0 into 2.0 0.296 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.296 * [taylor]: Taking taylor expansion of (* x y) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [backup-simplify]: Simplify y into y 0.296 * [backup-simplify]: Simplify (* 0 y) into 0 0.296 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.296 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.297 * [taylor]: Taking taylor expansion of 2.0 in x 0.297 * [backup-simplify]: Simplify 2.0 into 2.0 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.297 * [taylor]: Taking taylor expansion of (* x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [backup-simplify]: Simplify y into y 0.297 * [backup-simplify]: Simplify (* 0 y) into 0 0.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.298 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.298 * [backup-simplify]: Simplify (+ 1 0) into 1 0.298 * [taylor]: Taking taylor expansion of 1 in y 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.300 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.300 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.300 * [taylor]: Taking taylor expansion of 2.0 in y 0.300 * [backup-simplify]: Simplify 2.0 into 2.0 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.302 * [backup-simplify]: Simplify 2.0 into 2.0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [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))) 0.323 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.323 * [backup-simplify]: Simplify (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.323 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.324 * [backup-simplify]: Simplify x into x 0.324 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.324 * [taylor]: Taking taylor expansion of 2.0 in y 0.324 * [backup-simplify]: Simplify 2.0 into 2.0 0.324 * [taylor]: Taking taylor expansion of (* x y) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [backup-simplify]: Simplify x into x 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [backup-simplify]: Simplify y into y 0.324 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.324 * [taylor]: Taking taylor expansion of 2.0 in x 0.324 * [backup-simplify]: Simplify 2.0 into 2.0 0.324 * [taylor]: Taking taylor expansion of (* x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of y in x 0.325 * [backup-simplify]: Simplify y into y 0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [backup-simplify]: Simplify y into y 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.325 * [taylor]: Taking taylor expansion of 2.0 in x 0.325 * [backup-simplify]: Simplify 2.0 into 2.0 0.325 * [taylor]: Taking taylor expansion of (* x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [backup-simplify]: Simplify y into y 0.325 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.325 * [backup-simplify]: Simplify (* 0 y) into 0 0.326 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.326 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.326 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.327 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.327 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.327 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.327 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.327 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.327 * [taylor]: Taking taylor expansion of 2.0 in y 0.327 * [backup-simplify]: Simplify 2.0 into 2.0 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (* 1 1) into 1 0.328 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (+ 1 0) into 1 0.330 * [taylor]: Taking taylor expansion of 1 in y 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.331 * [backup-simplify]: Simplify 2.0 into 2.0 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [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)))) 0.332 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.332 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [backup-simplify]: Simplify x into x 0.333 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.333 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.334 * [taylor]: Taking taylor expansion of 2.0 in y 0.334 * [backup-simplify]: Simplify 2.0 into 2.0 0.334 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.334 * [taylor]: Taking taylor expansion of (* x y) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [backup-simplify]: Simplify x into x 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* x 0) into 0 0.334 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.334 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.335 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.335 * [taylor]: Taking taylor expansion of 2.0 in x 0.335 * [backup-simplify]: Simplify 2.0 into 2.0 0.335 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.335 * [taylor]: Taking taylor expansion of (* x y) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [backup-simplify]: Simplify (* 0 y) into 0 0.336 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.336 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [backup-simplify]: Simplify y into y 0.336 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.337 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.337 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.337 * [taylor]: Taking taylor expansion of 2.0 in x 0.337 * [backup-simplify]: Simplify 2.0 into 2.0 0.337 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.337 * [taylor]: Taking taylor expansion of (* x y) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [backup-simplify]: Simplify y into y 0.337 * [backup-simplify]: Simplify (* 0 y) into 0 0.337 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.337 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.338 * [backup-simplify]: Simplify (+ 1 0) into 1 0.338 * [taylor]: Taking taylor expansion of 1 in y 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.339 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.339 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.339 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.339 * [taylor]: Taking taylor expansion of 2.0 in y 0.339 * [backup-simplify]: Simplify 2.0 into 2.0 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.341 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.342 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.343 * [backup-simplify]: Simplify 2.0 into 2.0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [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)))) 0.343 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.343 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [backup-simplify]: Simplify x into x 0.344 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.344 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.345 * [taylor]: Taking taylor expansion of 2.0 in y 0.345 * [backup-simplify]: Simplify 2.0 into 2.0 0.345 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.345 * [taylor]: Taking taylor expansion of (* x y) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [backup-simplify]: Simplify x into x 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* x 0) into 0 0.345 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.345 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [backup-simplify]: Simplify y into y 0.346 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.346 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.346 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.346 * [taylor]: Taking taylor expansion of 2.0 in x 0.346 * [backup-simplify]: Simplify 2.0 into 2.0 0.346 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.346 * [taylor]: Taking taylor expansion of (* x y) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [backup-simplify]: Simplify y into y 0.346 * [backup-simplify]: Simplify (* 0 y) into 0 0.347 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.347 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [backup-simplify]: Simplify y into y 0.347 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.348 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.348 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.348 * [taylor]: Taking taylor expansion of 2.0 in x 0.348 * [backup-simplify]: Simplify 2.0 into 2.0 0.348 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.348 * [taylor]: Taking taylor expansion of (* x y) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [backup-simplify]: Simplify y into y 0.348 * [backup-simplify]: Simplify (* 0 y) into 0 0.348 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.348 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.348 * [backup-simplify]: Simplify (+ 1 0) into 1 0.349 * [taylor]: Taking taylor expansion of 1 in y 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.350 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.350 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.350 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.350 * [taylor]: Taking taylor expansion of 2.0 in y 0.350 * [backup-simplify]: Simplify 2.0 into 2.0 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.352 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.353 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (* 1 1) into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.354 * [backup-simplify]: Simplify 2.0 into 2.0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [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)))) 0.354 * * * [progress]: simplifying candidates 0.355 * [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)) (expm1 (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (log1p (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 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)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.356 * * [simplify]: Extracting # 0 : cost 0 0.356 * * [simplify]: Extracting # 1 : cost 0 0.356 * * [simplify]: Extracting # 2 : cost 0 0.356 * * [simplify]: Extracting # 3 : cost 0 0.356 * * [simplify]: Extracting # 4 : cost 0 0.356 * * [simplify]: Extracting # 5 : cost 0 0.356 * * [simplify]: Extracting # 6 : cost 0 0.356 * * [simplify]: iteration 0 : 62 enodes (cost 573 ) 0.389 * * [simplify]: Extracting # 0 : cost 0 0.390 * * [simplify]: Extracting # 1 : cost 0 0.390 * * [simplify]: Extracting # 2 : cost 0 0.390 * * [simplify]: Extracting # 3 : cost 0 0.391 * * [simplify]: Extracting # 4 : cost 0 0.391 * * [simplify]: iteration 1 : 227 enodes (cost 486 ) 0.603 * * [simplify]: Extracting # 0 : cost 0 0.607 * * [simplify]: Extracting # 1 : cost 0 0.612 * * [simplify]: Extracting # 2 : cost 0 0.616 * * [simplify]: Extracting # 3 : cost 0 0.621 * * [simplify]: Extracting # 4 : cost 0 0.625 * * [simplify]: Extracting # 5 : cost 0 0.630 * * [simplify]: iteration 2 : 1682 enodes (cost 387 ) 2.317 * * [simplify]: Extracting # 0 : cost 0 2.334 * * [simplify]: Extracting # 1 : cost 0 2.348 * * [simplify]: Extracting # 2 : cost 0 2.363 * * [simplify]: Extracting # 3 : cost 0 2.378 * * [simplify]: Extracting # 4 : cost 0 2.395 * * [simplify]: iteration done: 5001 enodes (cost 366 ) 2.395 * [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))) (expm1 (fma y (fma x 2.0 y) (* x x))) (log1p (fma y (fma x 2.0 y) (* x x))) (exp (fma y (fma x 2.0 y) (* x x))) (exp (fma y (fma x 2.0 y) (* x x))) (log (fma y (fma x 2.0 y) (* x x))) (exp (fma y (fma x 2.0 y) (* x x))) (* (cbrt (fma y (fma x 2.0 y) (* x x))) (cbrt (fma y (fma x 2.0 y) (* x x)))) (cbrt (fma y (fma x 2.0 y) (* x x))) (pow (fma y (fma x 2.0 y) (* x x)) 3) (sqrt (fma y (fma x 2.0 y) (* x x))) (sqrt (fma y (fma x 2.0 y) (* x x))) (+ (pow y 6) (pow (* x (fma y 2.0 x)) 3)) (- (fma (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (pow y 4)) (* (* x (fma y 2.0 x)) (* y y))) (fma (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (- (pow y 4))) (fma x x (* y (- (* x 2.0) y))) (* y (fma x 2.0 y)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (fma y (fma x 2.0 y) (* x x)) (fma y (fma x 2.0 y) (* x x)) (fma y (fma x 2.0 y) (* x x)) 2.396 * * * [progress]: adding candidates to table 2.523 * * [progress]: iteration 2 / 4 2.523 * * * [progress]: picking best candidate 2.525 * * * * [pick]: Picked # 2.525 * * * [progress]: localizing error 2.552 * * * [progress]: generating rewritten candidates 2.552 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.566 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.567 * * * [progress]: generating series expansions 2.567 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.568 * [backup-simplify]: Simplify (+ (fma x x (* (* x 2.0) y)) (* y y)) into (+ (pow y 2) (fma x x (* 2.0 (* x y)))) 2.568 * [approximate]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in (x y) around 0 2.568 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in y 2.568 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.568 * [taylor]: Taking taylor expansion of y in y 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 2.569 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 2.569 * [taylor]: Taking taylor expansion of (* x x) in y 2.569 * [taylor]: Taking taylor expansion of x in y 2.569 * [backup-simplify]: Simplify x into x 2.569 * [taylor]: Taking taylor expansion of x in y 2.569 * [backup-simplify]: Simplify x into x 2.569 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 2.569 * [taylor]: Taking taylor expansion of 2.0 in y 2.569 * [backup-simplify]: Simplify 2.0 into 2.0 2.569 * [taylor]: Taking taylor expansion of (* x y) in y 2.569 * [taylor]: Taking taylor expansion of x in y 2.569 * [backup-simplify]: Simplify x into x 2.569 * [taylor]: Taking taylor expansion of y in y 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.569 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 2.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.569 * [taylor]: Taking taylor expansion of y in x 2.569 * [backup-simplify]: Simplify y into y 2.569 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 2.569 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 2.569 * [taylor]: Taking taylor expansion of (* x x) in x 2.569 * [taylor]: Taking taylor expansion of x in x 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.569 * [taylor]: Taking taylor expansion of x in x 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.570 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.570 * [taylor]: Taking taylor expansion of 2.0 in x 2.570 * [backup-simplify]: Simplify 2.0 into 2.0 2.570 * [taylor]: Taking taylor expansion of (* x y) in x 2.570 * [taylor]: Taking taylor expansion of x in x 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.570 * [taylor]: Taking taylor expansion of y in x 2.570 * [backup-simplify]: Simplify y into y 2.570 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 2.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.570 * [taylor]: Taking taylor expansion of y in x 2.570 * [backup-simplify]: Simplify y into y 2.570 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 2.570 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 2.570 * [taylor]: Taking taylor expansion of (* x x) in x 2.570 * [taylor]: Taking taylor expansion of x in x 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.570 * [taylor]: Taking taylor expansion of x in x 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.570 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.570 * [taylor]: Taking taylor expansion of 2.0 in x 2.570 * [backup-simplify]: Simplify 2.0 into 2.0 2.570 * [taylor]: Taking taylor expansion of (* x y) in x 2.570 * [taylor]: Taking taylor expansion of x in x 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.570 * [taylor]: Taking taylor expansion of y in x 2.570 * [backup-simplify]: Simplify y into y 2.571 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.571 * [backup-simplify]: Simplify (* 0 0) into 0 2.572 * [backup-simplify]: Simplify (* 0 y) into 0 2.572 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.573 * [backup-simplify]: Simplify (+ 0 0) into 0 2.573 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.573 * [taylor]: Taking taylor expansion of y in y 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 1 into 1 2.573 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.574 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.574 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.575 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 2.575 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 2.575 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 2.575 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 2.575 * [taylor]: Taking taylor expansion of 2.0 in y 2.575 * [backup-simplify]: Simplify 2.0 into 2.0 2.575 * [taylor]: Taking taylor expansion of y in y 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify 1 into 1 2.576 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.579 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 2.579 * [backup-simplify]: Simplify (+ 1 0) into 1 2.580 * [backup-simplify]: Simplify (+ 0 1) into 1 2.580 * [taylor]: Taking taylor expansion of 1 in y 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [backup-simplify]: Simplify 1 into 1 2.582 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 2.582 * [backup-simplify]: Simplify 2.0 into 2.0 2.582 * [backup-simplify]: Simplify (* 1 1) into 1 2.582 * [backup-simplify]: Simplify 1 into 1 2.583 * [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)))) 2.583 * [backup-simplify]: Simplify (+ (fma (/ 1 x) (/ 1 x) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) 2.583 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in (x y) around 0 2.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in y 2.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.583 * [taylor]: Taking taylor expansion of y in y 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 1 into 1 2.584 * [backup-simplify]: Simplify (* 1 1) into 1 2.585 * [backup-simplify]: Simplify (/ 1 1) into 1 2.585 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 2.585 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 2.585 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.585 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.585 * [taylor]: Taking taylor expansion of x in y 2.585 * [backup-simplify]: Simplify x into x 2.585 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.585 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.585 * [taylor]: Taking taylor expansion of x in y 2.585 * [backup-simplify]: Simplify x into x 2.585 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.585 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 2.585 * [taylor]: Taking taylor expansion of 2.0 in y 2.585 * [backup-simplify]: Simplify 2.0 into 2.0 2.585 * [taylor]: Taking taylor expansion of (* x y) in y 2.585 * [taylor]: Taking taylor expansion of x in y 2.585 * [backup-simplify]: Simplify x into x 2.585 * [taylor]: Taking taylor expansion of y in y 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [backup-simplify]: Simplify (* x 0) into 0 2.586 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.586 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 2.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 2.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.586 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.586 * [taylor]: Taking taylor expansion of y in x 2.586 * [backup-simplify]: Simplify y into y 2.586 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.587 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.587 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 2.587 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 2.587 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify (/ 1 1) into 1 2.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify (/ 1 1) into 1 2.588 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.588 * [taylor]: Taking taylor expansion of 2.0 in x 2.588 * [backup-simplify]: Simplify 2.0 into 2.0 2.588 * [taylor]: Taking taylor expansion of (* x y) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [taylor]: Taking taylor expansion of y in x 2.588 * [backup-simplify]: Simplify y into y 2.588 * [backup-simplify]: Simplify (* 0 y) into 0 2.589 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.589 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 2.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.589 * [taylor]: Taking taylor expansion of y in x 2.589 * [backup-simplify]: Simplify y into y 2.589 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.589 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.589 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 2.590 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 2.590 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 1 into 1 2.590 * [backup-simplify]: Simplify (/ 1 1) into 1 2.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.591 * [backup-simplify]: Simplify (/ 1 1) into 1 2.591 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.591 * [taylor]: Taking taylor expansion of 2.0 in x 2.591 * [backup-simplify]: Simplify 2.0 into 2.0 2.591 * [taylor]: Taking taylor expansion of (* x y) in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.591 * [taylor]: Taking taylor expansion of y in x 2.591 * [backup-simplify]: Simplify y into y 2.591 * [backup-simplify]: Simplify (* 0 y) into 0 2.592 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.592 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.592 * [backup-simplify]: Simplify (* 1 1) into 1 2.593 * [backup-simplify]: Simplify (+ 1 0) into 1 2.593 * [backup-simplify]: Simplify (+ 0 1) into 1 2.593 * [taylor]: Taking taylor expansion of 1 in y 2.593 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.596 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.596 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 2.596 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.596 * [taylor]: Taking taylor expansion of 2.0 in y 2.596 * [backup-simplify]: Simplify 2.0 into 2.0 2.596 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.596 * [taylor]: Taking taylor expansion of y in y 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (/ 1 1) into 1 2.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.601 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)))) into 0 2.601 * [backup-simplify]: Simplify (+ 0 0) into 0 2.601 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.601 * [taylor]: Taking taylor expansion of y in y 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (* 1 1) into 1 2.602 * [backup-simplify]: Simplify (/ 1 1) into 1 2.602 * [backup-simplify]: Simplify 1 into 1 2.603 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.603 * [backup-simplify]: Simplify 2.0 into 2.0 2.603 * [backup-simplify]: Simplify 1 into 1 2.604 * [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)))) 2.604 * [backup-simplify]: Simplify (+ (fma (/ 1 (- x)) (/ 1 (- x)) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) 2.605 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in (x y) around 0 2.605 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in y 2.605 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 2.605 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 2.605 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.605 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.605 * [taylor]: Taking taylor expansion of -1 in y 2.605 * [backup-simplify]: Simplify -1 into -1 2.605 * [taylor]: Taking taylor expansion of x in y 2.605 * [backup-simplify]: Simplify x into x 2.605 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.605 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.605 * [taylor]: Taking taylor expansion of -1 in y 2.605 * [backup-simplify]: Simplify -1 into -1 2.605 * [taylor]: Taking taylor expansion of x in y 2.605 * [backup-simplify]: Simplify x into x 2.605 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.605 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 2.605 * [taylor]: Taking taylor expansion of 2.0 in y 2.605 * [backup-simplify]: Simplify 2.0 into 2.0 2.605 * [taylor]: Taking taylor expansion of (* x y) in y 2.605 * [taylor]: Taking taylor expansion of x in y 2.605 * [backup-simplify]: Simplify x into x 2.605 * [taylor]: Taking taylor expansion of y in y 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.606 * [backup-simplify]: Simplify (* x 0) into 0 2.606 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.606 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 2.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.606 * [taylor]: Taking taylor expansion of y in y 2.606 * [backup-simplify]: Simplify 0 into 0 2.606 * [backup-simplify]: Simplify 1 into 1 2.607 * [backup-simplify]: Simplify (* 1 1) into 1 2.607 * [backup-simplify]: Simplify (/ 1 1) into 1 2.607 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 2.607 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 2.608 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 2.608 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.608 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.608 * [taylor]: Taking taylor expansion of -1 in x 2.608 * [backup-simplify]: Simplify -1 into -1 2.608 * [taylor]: Taking taylor expansion of x in x 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.608 * [backup-simplify]: Simplify (/ -1 1) into -1 2.608 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.608 * [taylor]: Taking taylor expansion of -1 in x 2.608 * [backup-simplify]: Simplify -1 into -1 2.608 * [taylor]: Taking taylor expansion of x in x 2.608 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify (/ -1 1) into -1 2.609 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.609 * [taylor]: Taking taylor expansion of 2.0 in x 2.609 * [backup-simplify]: Simplify 2.0 into 2.0 2.609 * [taylor]: Taking taylor expansion of (* x y) in x 2.609 * [taylor]: Taking taylor expansion of x in x 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [taylor]: Taking taylor expansion of y in x 2.609 * [backup-simplify]: Simplify y into y 2.609 * [backup-simplify]: Simplify (* 0 y) into 0 2.610 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.610 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.610 * [taylor]: Taking taylor expansion of y in x 2.610 * [backup-simplify]: Simplify y into y 2.610 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.610 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.610 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 2.610 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 2.610 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 2.611 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.611 * [taylor]: Taking taylor expansion of -1 in x 2.611 * [backup-simplify]: Simplify -1 into -1 2.611 * [taylor]: Taking taylor expansion of x in x 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (/ -1 1) into -1 2.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.611 * [taylor]: Taking taylor expansion of -1 in x 2.611 * [backup-simplify]: Simplify -1 into -1 2.611 * [taylor]: Taking taylor expansion of x in x 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.612 * [backup-simplify]: Simplify (/ -1 1) into -1 2.612 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.612 * [taylor]: Taking taylor expansion of 2.0 in x 2.612 * [backup-simplify]: Simplify 2.0 into 2.0 2.612 * [taylor]: Taking taylor expansion of (* x y) in x 2.612 * [taylor]: Taking taylor expansion of x in x 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify 1 into 1 2.612 * [taylor]: Taking taylor expansion of y in x 2.612 * [backup-simplify]: Simplify y into y 2.612 * [backup-simplify]: Simplify (* 0 y) into 0 2.613 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.613 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.613 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.613 * [taylor]: Taking taylor expansion of y in x 2.613 * [backup-simplify]: Simplify y into y 2.613 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.613 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.614 * [backup-simplify]: Simplify (* -1 -1) into 1 2.614 * [backup-simplify]: Simplify (+ 1 0) into 1 2.615 * [backup-simplify]: Simplify (+ 1 0) into 1 2.615 * [taylor]: Taking taylor expansion of 1 in y 2.615 * [backup-simplify]: Simplify 1 into 1 2.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.617 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.617 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) 2.617 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.617 * [taylor]: Taking taylor expansion of 2.0 in y 2.618 * [backup-simplify]: Simplify 2.0 into 2.0 2.618 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.618 * [taylor]: Taking taylor expansion of y in y 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [backup-simplify]: Simplify (/ 1 1) into 1 2.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.621 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.622 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)))) into 0 2.623 * [backup-simplify]: Simplify (+ 0 0) into 0 2.623 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.623 * [taylor]: Taking taylor expansion of y in y 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 1 into 1 2.623 * [backup-simplify]: Simplify (* 1 1) into 1 2.624 * [backup-simplify]: Simplify (/ 1 1) into 1 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.624 * [backup-simplify]: Simplify 2.0 into 2.0 2.625 * [backup-simplify]: Simplify 1 into 1 2.626 * [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)))) 2.626 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.626 * [backup-simplify]: Simplify (fma x x (* (* x 2.0) y)) into (fma x x (* 2.0 (* x y))) 2.626 * [approximate]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in (x y) around 0 2.626 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 2.626 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 2.626 * [taylor]: Taking taylor expansion of (* x x) in y 2.626 * [taylor]: Taking taylor expansion of x in y 2.626 * [backup-simplify]: Simplify x into x 2.626 * [taylor]: Taking taylor expansion of x in y 2.626 * [backup-simplify]: Simplify x into x 2.626 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 2.626 * [taylor]: Taking taylor expansion of 2.0 in y 2.626 * [backup-simplify]: Simplify 2.0 into 2.0 2.626 * [taylor]: Taking taylor expansion of (* x y) in y 2.626 * [taylor]: Taking taylor expansion of x in y 2.626 * [backup-simplify]: Simplify x into x 2.626 * [taylor]: Taking taylor expansion of y in y 2.626 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 2.627 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 2.627 * [taylor]: Taking taylor expansion of (* x x) in x 2.627 * [taylor]: Taking taylor expansion of x in x 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [taylor]: Taking taylor expansion of x in x 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.627 * [taylor]: Taking taylor expansion of 2.0 in x 2.627 * [backup-simplify]: Simplify 2.0 into 2.0 2.627 * [taylor]: Taking taylor expansion of (* x y) in x 2.627 * [taylor]: Taking taylor expansion of x in x 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [taylor]: Taking taylor expansion of y in x 2.627 * [backup-simplify]: Simplify y into y 2.627 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 2.627 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 2.627 * [taylor]: Taking taylor expansion of (* x x) in x 2.627 * [taylor]: Taking taylor expansion of x in x 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [taylor]: Taking taylor expansion of x in x 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.628 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.628 * [taylor]: Taking taylor expansion of 2.0 in x 2.628 * [backup-simplify]: Simplify 2.0 into 2.0 2.628 * [taylor]: Taking taylor expansion of (* x y) in x 2.628 * [taylor]: Taking taylor expansion of x in x 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 1 into 1 2.628 * [taylor]: Taking taylor expansion of y in x 2.628 * [backup-simplify]: Simplify y into y 2.628 * [backup-simplify]: Simplify (* 0 0) into 0 2.629 * [backup-simplify]: Simplify (* 0 y) into 0 2.629 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.629 * [backup-simplify]: Simplify (+ 0 0) into 0 2.630 * [taylor]: Taking taylor expansion of 0 in y 2.630 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.631 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.631 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 2.631 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 2.631 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 2.632 * [taylor]: Taking taylor expansion of 2.0 in y 2.632 * [backup-simplify]: Simplify 2.0 into 2.0 2.632 * [taylor]: Taking taylor expansion of y in y 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 1 into 1 2.632 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.635 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 2.635 * [backup-simplify]: Simplify (+ 1 0) into 1 2.636 * [taylor]: Taking taylor expansion of 1 in y 2.636 * [backup-simplify]: Simplify 1 into 1 2.636 * [backup-simplify]: Simplify 1 into 1 2.637 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 2.637 * [backup-simplify]: Simplify 2.0 into 2.0 2.637 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.641 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 2.641 * [backup-simplify]: Simplify (+ 0 0) into 0 2.641 * [taylor]: Taking taylor expansion of 0 in y 2.641 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.645 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 2.645 * [backup-simplify]: Simplify (+ 0 0) into 0 2.645 * [taylor]: Taking taylor expansion of 0 in y 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 2.646 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (* (/ 1 x) 2.0) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) 2.646 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in (x y) around 0 2.646 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 2.646 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 2.646 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.646 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.646 * [taylor]: Taking taylor expansion of x in y 2.646 * [backup-simplify]: Simplify x into x 2.646 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.646 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.646 * [taylor]: Taking taylor expansion of x in y 2.646 * [backup-simplify]: Simplify x into x 2.646 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.646 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 2.646 * [taylor]: Taking taylor expansion of 2.0 in y 2.646 * [backup-simplify]: Simplify 2.0 into 2.0 2.646 * [taylor]: Taking taylor expansion of (* x y) in y 2.646 * [taylor]: Taking taylor expansion of x in y 2.646 * [backup-simplify]: Simplify x into x 2.646 * [taylor]: Taking taylor expansion of y in y 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 1 into 1 2.646 * [backup-simplify]: Simplify (* x 0) into 0 2.647 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.647 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 2.647 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 2.647 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 2.647 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.647 * [taylor]: Taking taylor expansion of x in x 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify (/ 1 1) into 1 2.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.647 * [taylor]: Taking taylor expansion of x in x 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.648 * [backup-simplify]: Simplify (/ 1 1) into 1 2.648 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.648 * [taylor]: Taking taylor expansion of 2.0 in x 2.648 * [backup-simplify]: Simplify 2.0 into 2.0 2.648 * [taylor]: Taking taylor expansion of (* x y) in x 2.648 * [taylor]: Taking taylor expansion of x in x 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [taylor]: Taking taylor expansion of y in x 2.648 * [backup-simplify]: Simplify y into y 2.648 * [backup-simplify]: Simplify (* 0 y) into 0 2.648 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.648 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.648 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 2.648 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 2.648 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (/ 1 1) into 1 2.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (/ 1 1) into 1 2.649 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.649 * [taylor]: Taking taylor expansion of 2.0 in x 2.649 * [backup-simplify]: Simplify 2.0 into 2.0 2.649 * [taylor]: Taking taylor expansion of (* x y) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [taylor]: Taking taylor expansion of y in x 2.649 * [backup-simplify]: Simplify y into y 2.649 * [backup-simplify]: Simplify (* 0 y) into 0 2.650 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.650 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.650 * [backup-simplify]: Simplify (* 1 1) into 1 2.650 * [backup-simplify]: Simplify (+ 1 0) into 1 2.650 * [taylor]: Taking taylor expansion of 1 in y 2.650 * [backup-simplify]: Simplify 1 into 1 2.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.652 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.652 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.652 * [taylor]: Taking taylor expansion of 2.0 in y 2.652 * [backup-simplify]: Simplify 2.0 into 2.0 2.652 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.652 * [taylor]: Taking taylor expansion of y in y 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (/ 1 1) into 1 2.652 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.653 * [backup-simplify]: Simplify 2.0 into 2.0 2.653 * [backup-simplify]: Simplify 1 into 1 2.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.655 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.655 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)))) into 0 2.655 * [backup-simplify]: Simplify (+ 0 0) into 0 2.655 * [taylor]: Taking taylor expansion of 0 in y 2.655 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.656 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.659 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.659 * [backup-simplify]: Simplify (+ 0 0) into 0 2.659 * [taylor]: Taking taylor expansion of 0 in y 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.661 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.664 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.664 * [backup-simplify]: Simplify (+ 0 0) into 0 2.664 * [taylor]: Taking taylor expansion of 0 in y 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [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))) 2.665 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) 2.665 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in (x y) around 0 2.665 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 2.665 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 2.665 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.665 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.665 * [taylor]: Taking taylor expansion of -1 in y 2.665 * [backup-simplify]: Simplify -1 into -1 2.665 * [taylor]: Taking taylor expansion of x in y 2.665 * [backup-simplify]: Simplify x into x 2.665 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.665 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.665 * [taylor]: Taking taylor expansion of -1 in y 2.665 * [backup-simplify]: Simplify -1 into -1 2.665 * [taylor]: Taking taylor expansion of x in y 2.665 * [backup-simplify]: Simplify x into x 2.665 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.665 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 2.665 * [taylor]: Taking taylor expansion of 2.0 in y 2.665 * [backup-simplify]: Simplify 2.0 into 2.0 2.665 * [taylor]: Taking taylor expansion of (* x y) in y 2.665 * [taylor]: Taking taylor expansion of x in y 2.665 * [backup-simplify]: Simplify x into x 2.665 * [taylor]: Taking taylor expansion of y in y 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify 1 into 1 2.665 * [backup-simplify]: Simplify (* x 0) into 0 2.666 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.666 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 2.666 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 2.666 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 2.666 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.666 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.666 * [taylor]: Taking taylor expansion of -1 in x 2.666 * [backup-simplify]: Simplify -1 into -1 2.666 * [taylor]: Taking taylor expansion of x in x 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [backup-simplify]: Simplify (/ -1 1) into -1 2.666 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.666 * [taylor]: Taking taylor expansion of -1 in x 2.666 * [backup-simplify]: Simplify -1 into -1 2.666 * [taylor]: Taking taylor expansion of x in x 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify (/ -1 1) into -1 2.667 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.667 * [taylor]: Taking taylor expansion of 2.0 in x 2.667 * [backup-simplify]: Simplify 2.0 into 2.0 2.667 * [taylor]: Taking taylor expansion of (* x y) in x 2.667 * [taylor]: Taking taylor expansion of x in x 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 1 into 1 2.667 * [taylor]: Taking taylor expansion of y in x 2.667 * [backup-simplify]: Simplify y into y 2.667 * [backup-simplify]: Simplify (* 0 y) into 0 2.667 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.667 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.667 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 2.668 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 2.668 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.668 * [taylor]: Taking taylor expansion of -1 in x 2.668 * [backup-simplify]: Simplify -1 into -1 2.668 * [taylor]: Taking taylor expansion of x in x 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.668 * [backup-simplify]: Simplify (/ -1 1) into -1 2.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.668 * [taylor]: Taking taylor expansion of -1 in x 2.668 * [backup-simplify]: Simplify -1 into -1 2.668 * [taylor]: Taking taylor expansion of x in x 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.668 * [backup-simplify]: Simplify (/ -1 1) into -1 2.668 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.668 * [taylor]: Taking taylor expansion of 2.0 in x 2.668 * [backup-simplify]: Simplify 2.0 into 2.0 2.668 * [taylor]: Taking taylor expansion of (* x y) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 1 into 1 2.669 * [taylor]: Taking taylor expansion of y in x 2.669 * [backup-simplify]: Simplify y into y 2.669 * [backup-simplify]: Simplify (* 0 y) into 0 2.669 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.669 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.669 * [backup-simplify]: Simplify (* -1 -1) into 1 2.670 * [backup-simplify]: Simplify (+ 1 0) into 1 2.670 * [taylor]: Taking taylor expansion of 1 in y 2.670 * [backup-simplify]: Simplify 1 into 1 2.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.671 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.671 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.671 * [taylor]: Taking taylor expansion of 2.0 in y 2.671 * [backup-simplify]: Simplify 2.0 into 2.0 2.671 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.671 * [taylor]: Taking taylor expansion of y in y 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 1 into 1 2.672 * [backup-simplify]: Simplify (/ 1 1) into 1 2.672 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.672 * [backup-simplify]: Simplify 2.0 into 2.0 2.672 * [backup-simplify]: Simplify 1 into 1 2.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.674 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.675 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)))) into 0 2.676 * [backup-simplify]: Simplify (+ 0 0) into 0 2.676 * [taylor]: Taking taylor expansion of 0 in y 2.676 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 2.677 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.683 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.683 * [backup-simplify]: Simplify (+ 0 0) into 0 2.683 * [taylor]: Taking taylor expansion of 0 in y 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.689 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.691 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.692 * [backup-simplify]: Simplify (+ 0 0) into 0 2.692 * [taylor]: Taking taylor expansion of 0 in y 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [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))) 2.692 * * * [progress]: simplifying candidates 2.693 * [simplify]: Simplifying: (expm1 (+ (fma x x (* (* x 2.0) y)) (* y y))) (log1p (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (exp (fma x x (* (* x 2.0) y))) (exp (* y y))) (log (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y)))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (* (+ (fma x x (* (* x 2.0) y)) (* y y)) (+ (fma x x (* (* x 2.0) y)) (* y y))) (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (+ (pow (fma x x (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (fma x x (* (* x 2.0) y)) (* y y)))) (- (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (* (* y y) (* y y))) (- (fma x x (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (expm1 (fma x x (* (* x 2.0) y))) (log1p (fma x x (* (* x 2.0) y))) (* x x) (log (fma x x (* (* x 2.0) y))) (exp (fma x x (* (* x 2.0) y))) (* (cbrt (fma x x (* (* x 2.0) y))) (cbrt (fma x x (* (* x 2.0) y)))) (cbrt (fma x x (* (* x 2.0) y))) (* (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) 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)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 2.695 * * [simplify]: Extracting # 0 : cost 0 2.695 * * [simplify]: Extracting # 1 : cost 0 2.695 * * [simplify]: Extracting # 2 : cost 0 2.695 * * [simplify]: Extracting # 3 : cost 0 2.695 * * [simplify]: Extracting # 4 : cost 0 2.696 * * [simplify]: Extracting # 5 : cost 0 2.696 * * [simplify]: Extracting # 6 : cost 0 2.696 * * [simplify]: iteration 0 : 48 enodes (cost 447 ) 2.720 * * [simplify]: Extracting # 0 : cost 0 2.721 * * [simplify]: Extracting # 1 : cost 0 2.721 * * [simplify]: Extracting # 2 : cost 0 2.721 * * [simplify]: Extracting # 3 : cost 0 2.721 * * [simplify]: iteration 1 : 132 enodes (cost 414 ) 2.794 * * [simplify]: Extracting # 0 : cost 0 2.795 * * [simplify]: Extracting # 1 : cost 0 2.796 * * [simplify]: Extracting # 2 : cost 0 2.797 * * [simplify]: Extracting # 3 : cost 0 2.798 * * [simplify]: iteration 2 : 667 enodes (cost 324 ) 3.433 * * [simplify]: Extracting # 0 : cost 0 3.457 * * [simplify]: Extracting # 1 : cost 0 3.472 * * [simplify]: Extracting # 2 : cost 0 3.487 * * [simplify]: Extracting # 3 : cost 0 3.494 * * [simplify]: Extracting # 4 : cost 0 3.502 * * [simplify]: iteration done: 5001 enodes (cost 298 ) 3.502 * [simplify]: Simplified to: (expm1 (fma x x (* y (fma 2.0 x y)))) (log1p (fma x x (* y (fma 2.0 x y)))) (exp (fma y (fma 2.0 x y) (* x x))) (log (fma y (fma 2.0 x y) (* x x))) (exp (fma y (fma 2.0 x y) (* x x))) (* (cbrt (fma x x (* y (fma 2.0 x y)))) (cbrt (fma x x (* y (fma 2.0 x y))))) (cbrt (fma x x (* y (fma 2.0 x y)))) (pow (fma x x (* y (fma 2.0 x y))) 3) (sqrt (fma x x (* y (fma 2.0 x y)))) (sqrt (fma x x (* y (fma 2.0 x y)))) (+ (pow y 6) (pow (* x (fma y 2.0 x)) 3)) (- (pow y 4) (* (* x (fma y 2.0 x)) (- (* y y) (* x (fma y 2.0 x))))) (- (* (* x (fma y 2.0 x)) (* x (fma y 2.0 x))) (pow y 4)) (fma (- y) y (* x (fma y 2.0 x))) (* y (fma 2.0 x y)) (expm1 (* x (fma y 2.0 x))) (log1p (* x (fma y 2.0 x))) (* x 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))) (fma x x (* y (fma 2.0 x y))) (fma x x (* y (fma 2.0 x y))) (fma x x (* y (fma 2.0 x y))) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) 3.502 * * * [progress]: adding candidates to table 3.615 * [progress]: [Phase 3 of 3] Extracting. 3.617 * [simplify]: Simplifying: (+ (fma x x (* (* x 2.0) y)) (* y y)) 3.617 * * [simplify]: Extracting # 0 : cost 0 3.618 * * [simplify]: Extracting # 1 : cost 0 3.618 * * [simplify]: Extracting # 2 : cost 0 3.618 * * [simplify]: Extracting # 3 : cost 0 3.618 * * [simplify]: Extracting # 4 : cost 0 3.618 * * [simplify]: Extracting # 5 : cost 0 3.618 * * [simplify]: Extracting # 6 : cost 0 3.618 * * [simplify]: iteration 0 : 8 enodes (cost 12 ) 3.619 * * [simplify]: Extracting # 0 : cost 0 3.619 * * [simplify]: iteration 1 : 11 enodes (cost 12 ) 3.620 * * [simplify]: Extracting # 0 : cost 0 3.620 * * [simplify]: iteration done: 11 enodes (cost 12 ) 3.620 * [simplify]: Simplified to: (+ (fma x x (* (* x 2.0) y)) (* y y)) 5.909 * [regime-testing]: Baseline error score: 0.011297202427084114 5.911 * [regime-testing]: Oracle error score: 0.011297202427084114 5.911 * [regime-testing]: End program error score: 0.011297202427084114 5.950 * [regime-testing]: Target error score: 0.014743922732716911