36.227 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: Extracting # 3 : cost 0 0.035 * * [simplify]: Extracting # 4 : cost 0 0.035 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: Extracting # 1 : cost 0 0.036 * * [simplify]: Extracting # 2 : cost 0 0.036 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: Extracting # 1 : cost 0 0.040 * * [simplify]: Extracting # 2 : cost 0 0.040 * * [simplify]: iteration 2 : 27 enodes (cost 7 ) 0.051 * * [simplify]: Extracting # 0 : cost 0 0.051 * * [simplify]: Extracting # 1 : cost 0 0.051 * * [simplify]: Extracting # 2 : cost 0 0.052 * * [simplify]: iteration 3 : 65 enodes (cost 7 ) 0.068 * * [simplify]: Extracting # 0 : cost 0 0.068 * * [simplify]: Extracting # 1 : cost 0 0.069 * * [simplify]: Extracting # 2 : cost 0 0.069 * * [simplify]: iteration 4 : 104 enodes (cost 7 ) 0.098 * * [simplify]: Extracting # 0 : cost 0 0.098 * * [simplify]: Extracting # 1 : cost 0 0.098 * * [simplify]: Extracting # 2 : cost 0 0.098 * * [simplify]: Extracting # 3 : cost 0 0.099 * * [simplify]: iteration 5 : 134 enodes (cost 7 ) 0.128 * * [simplify]: Extracting # 0 : cost 0 0.128 * * [simplify]: iteration 6 : 154 enodes (cost 7 ) 0.159 * * [simplify]: Extracting # 0 : cost 0 0.159 * * [simplify]: Extracting # 1 : cost 0 0.159 * * [simplify]: Extracting # 2 : cost 0 0.159 * * [simplify]: iteration 7 : 171 enodes (cost 7 ) 0.205 * * [simplify]: Extracting # 0 : cost 0 0.206 * * [simplify]: iteration 8 : 173 enodes (cost 7 ) 0.240 * * [simplify]: Extracting # 0 : cost 0 0.240 * * [simplify]: iteration done: 173 enodes (cost 7 ) 0.241 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.241 * * [progress]: iteration 1 / 4 0.241 * * * [progress]: picking best candidate 0.243 * * * * [pick]: Picked # 0.243 * * * [progress]: localizing error 0.253 * * * [progress]: generating rewritten candidates 0.253 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.303 * * * [progress]: generating series expansions 0.303 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.303 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.303 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.303 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.303 * [taylor]: Taking taylor expansion of (+ x y) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [backup-simplify]: Simplify x into x 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (+ x 0) into x 0.303 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.303 * [taylor]: Taking taylor expansion of (+ x y) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [backup-simplify]: Simplify y into y 0.304 * [backup-simplify]: Simplify (+ 0 y) into y 0.304 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.304 * [taylor]: Taking taylor expansion of (+ x y) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [backup-simplify]: Simplify y into y 0.304 * [backup-simplify]: Simplify (+ 0 y) into y 0.304 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (+ 1 0) into 1 0.305 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.305 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.305 * [taylor]: Taking taylor expansion of 2 in y 0.305 * [backup-simplify]: Simplify 2 into 2 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 2 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.306 * [taylor]: Taking taylor expansion of 1 in y 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.306 * [backup-simplify]: Simplify 2 into 2 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.307 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.307 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [backup-simplify]: Simplify x into x 0.308 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.308 * [backup-simplify]: Simplify (+ 1 0) into 1 0.308 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [backup-simplify]: Simplify y into y 0.308 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [backup-simplify]: Simplify (+ 0 1) into 1 0.309 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (+ 0 1) into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of 1 in y 0.310 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.311 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.311 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.311 * [taylor]: Taking taylor expansion of 2 in y 0.311 * [backup-simplify]: Simplify 2 into 2 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 2 1) into 2 0.315 * [backup-simplify]: Simplify 2 into 2 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.316 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.316 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.316 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [backup-simplify]: Simplify x into x 0.317 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.318 * [backup-simplify]: Simplify (+ 1 0) into 1 0.318 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [backup-simplify]: Simplify y into y 0.318 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify (+ 0 1) into 1 0.319 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [backup-simplify]: Simplify y into y 0.319 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [backup-simplify]: Simplify (+ 0 1) into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of 1 in y 0.320 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.321 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.321 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.321 * [taylor]: Taking taylor expansion of 2 in y 0.321 * [backup-simplify]: Simplify 2 into 2 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (* 2 1) into 2 0.326 * [backup-simplify]: Simplify 2 into 2 0.326 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.327 * * * [progress]: simplifying candidates 0.328 * [simplify]: Simplifying: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.329 * * [simplify]: Extracting # 0 : cost 0 0.329 * * [simplify]: Extracting # 1 : cost 0 0.329 * * [simplify]: Extracting # 2 : cost 0 0.329 * * [simplify]: Extracting # 3 : cost 0 0.329 * * [simplify]: Extracting # 4 : cost 0 0.330 * * [simplify]: Extracting # 5 : cost 0 0.330 * * [simplify]: Extracting # 6 : cost 0 0.330 * * [simplify]: iteration 0 : 64 enodes (cost 532 ) 0.362 * * [simplify]: Extracting # 0 : cost 0 0.363 * * [simplify]: Extracting # 1 : cost 0 0.363 * * [simplify]: Extracting # 2 : cost 0 0.364 * * [simplify]: Extracting # 3 : cost 0 0.364 * * [simplify]: Extracting # 4 : cost 0 0.364 * * [simplify]: iteration 1 : 193 enodes (cost 465 ) 0.504 * * [simplify]: Extracting # 0 : cost 0 0.505 * * [simplify]: Extracting # 1 : cost 0 0.506 * * [simplify]: Extracting # 2 : cost 0 0.507 * * [simplify]: Extracting # 3 : cost 0 0.508 * * [simplify]: Extracting # 4 : cost 0 0.509 * * [simplify]: iteration 2 : 792 enodes (cost 416 ) 2.065 * * [simplify]: Extracting # 0 : cost 0 2.074 * * [simplify]: Extracting # 1 : cost 0 2.078 * * [simplify]: Extracting # 2 : cost 0 2.082 * * [simplify]: Extracting # 3 : cost 0 2.086 * * [simplify]: Extracting # 4 : cost 0 2.090 * * [simplify]: Extracting # 5 : cost 0 2.093 * * [simplify]: iteration 3 : 3639 enodes (cost 380 ) 3.588 * * [simplify]: Extracting # 0 : cost 0 3.594 * * [simplify]: Extracting # 1 : cost 0 3.599 * * [simplify]: iteration done: 5000 enodes (cost 380 ) 3.599 * [simplify]: Simplified to: (expm1 (pow (sqrt (+ x y)) 4)) (log1p (pow (sqrt (+ x y)) 4)) 2 (pow (sqrt (+ x y)) 4) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (pow (sqrt (+ x y)) 4)) (pow (+ x y) 6) (* (cbrt (pow (sqrt (+ x y)) 4)) (cbrt (pow (sqrt (+ x y)) 4))) (cbrt (pow (sqrt (+ x y)) 4)) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (fma x x (* y (- y x))) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (fma x x (* y (- y x))) (- x y)) (* (* (- x y) (- x y)) (pow (sqrt (+ x y)) 4)) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) 1 (pow (sqrt (+ x y)) 4) (+ x y) (+ x y) 2 (* (+ x y) x) (* (+ x y) y) (* (+ x y) x) (* (+ x y) y) (* (cbrt (+ x y)) (pow (cbrt (+ x y)) 4)) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (pow (sqrt (+ x y)) 4) (pow (sqrt (+ x y)) 4) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- x y) (pow (sqrt (+ x y)) 4)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- x y) (pow (sqrt (+ x y)) 4)) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) 3.600 * * * [progress]: adding candidates to table 3.677 * * [progress]: iteration 2 / 4 3.677 * * * [progress]: picking best candidate 3.680 * * * * [pick]: Picked # 3.680 * * * [progress]: localizing error 3.691 * * * [progress]: generating rewritten candidates 3.691 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 3.714 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 3.730 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 3.757 * * * [progress]: generating series expansions 3.758 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 3.758 * [backup-simplify]: Simplify (* (+ x y) y) into (* y (+ x y)) 3.758 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 3.758 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 3.758 * [taylor]: Taking taylor expansion of y in y 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.758 * [taylor]: Taking taylor expansion of (+ x y) in y 3.758 * [taylor]: Taking taylor expansion of x in y 3.758 * [backup-simplify]: Simplify x into x 3.758 * [taylor]: Taking taylor expansion of y in y 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.758 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 3.758 * [taylor]: Taking taylor expansion of y in x 3.758 * [backup-simplify]: Simplify y into y 3.758 * [taylor]: Taking taylor expansion of (+ x y) in x 3.758 * [taylor]: Taking taylor expansion of x in x 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.758 * [taylor]: Taking taylor expansion of y in x 3.758 * [backup-simplify]: Simplify y into y 3.758 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 3.758 * [taylor]: Taking taylor expansion of y in x 3.758 * [backup-simplify]: Simplify y into y 3.758 * [taylor]: Taking taylor expansion of (+ x y) in x 3.758 * [taylor]: Taking taylor expansion of x in x 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.758 * [taylor]: Taking taylor expansion of y in x 3.758 * [backup-simplify]: Simplify y into y 3.758 * [backup-simplify]: Simplify (+ 0 y) into y 3.758 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.758 * [taylor]: Taking taylor expansion of y in y 3.758 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify 1 into 1 3.759 * [backup-simplify]: Simplify (+ 1 0) into 1 3.759 * [backup-simplify]: Simplify (+ (* y 1) (* 0 y)) into y 3.759 * [taylor]: Taking taylor expansion of y in y 3.759 * [backup-simplify]: Simplify 0 into 0 3.759 * [backup-simplify]: Simplify 1 into 1 3.759 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 y))) into 0 3.760 * [taylor]: Taking taylor expansion of 0 in y 3.760 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify 1 into 1 3.760 * [backup-simplify]: Simplify (* 1 1) into 1 3.761 * [backup-simplify]: Simplify 1 into 1 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.761 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 3.761 * [taylor]: Taking taylor expansion of 0 in y 3.761 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify (+ 0 0) into 0 3.763 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 3.763 * [taylor]: Taking taylor expansion of 0 in y 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 3.764 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 y) (/ 1 x)) y) 3.764 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 3.764 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 3.764 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.764 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.764 * [taylor]: Taking taylor expansion of y in y 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (/ 1 1) into 1 3.764 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.764 * [taylor]: Taking taylor expansion of x in y 3.764 * [backup-simplify]: Simplify x into x 3.764 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.764 * [taylor]: Taking taylor expansion of y in y 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (+ 1 0) into 1 3.765 * [backup-simplify]: Simplify (/ 1 1) into 1 3.765 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.765 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.765 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.765 * [taylor]: Taking taylor expansion of y in x 3.765 * [backup-simplify]: Simplify y into y 3.765 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.765 * [taylor]: Taking taylor expansion of x in x 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (/ 1 1) into 1 3.765 * [taylor]: Taking taylor expansion of y in x 3.765 * [backup-simplify]: Simplify y into y 3.766 * [backup-simplify]: Simplify (+ 0 1) into 1 3.766 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.766 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.766 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.766 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.766 * [taylor]: Taking taylor expansion of y in x 3.766 * [backup-simplify]: Simplify y into y 3.766 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (/ 1 1) into 1 3.766 * [taylor]: Taking taylor expansion of y in x 3.766 * [backup-simplify]: Simplify y into y 3.767 * [backup-simplify]: Simplify (+ 0 1) into 1 3.767 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.767 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.767 * [taylor]: Taking taylor expansion of y in y 3.767 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify 1 into 1 3.767 * [backup-simplify]: Simplify (/ 1 1) into 1 3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.768 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.768 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 3.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.768 * [taylor]: Taking taylor expansion of y in y 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (* 1 1) into 1 3.768 * [backup-simplify]: Simplify (/ 1 1) into 1 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify 1 into 1 3.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (+ 0 0) into 0 3.770 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 3.770 * [taylor]: Taking taylor expansion of 0 in y 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.772 * [backup-simplify]: Simplify (+ 0 0) into 0 3.772 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.772 * [taylor]: Taking taylor expansion of 0 in y 3.772 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.774 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (+ 0 0) into 0 3.776 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.776 * [taylor]: Taking taylor expansion of 0 in y 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 3.777 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 3.777 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 3.777 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 3.778 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.778 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.778 * [taylor]: Taking taylor expansion of y in y 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (/ 1 1) into 1 3.778 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.778 * [taylor]: Taking taylor expansion of x in y 3.778 * [backup-simplify]: Simplify x into x 3.778 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.778 * [taylor]: Taking taylor expansion of y in y 3.778 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (+ 1 0) into 1 3.779 * [backup-simplify]: Simplify (/ 1 1) into 1 3.779 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.779 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.779 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.779 * [taylor]: Taking taylor expansion of y in x 3.779 * [backup-simplify]: Simplify y into y 3.779 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.779 * [taylor]: Taking taylor expansion of x in x 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 1 into 1 3.779 * [backup-simplify]: Simplify (/ 1 1) into 1 3.779 * [taylor]: Taking taylor expansion of y in x 3.779 * [backup-simplify]: Simplify y into y 3.779 * [backup-simplify]: Simplify (+ 0 1) into 1 3.780 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.780 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 3.780 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.780 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.780 * [taylor]: Taking taylor expansion of y in x 3.780 * [backup-simplify]: Simplify y into y 3.780 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.780 * [taylor]: Taking taylor expansion of x in x 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (/ 1 1) into 1 3.780 * [taylor]: Taking taylor expansion of y in x 3.780 * [backup-simplify]: Simplify y into y 3.780 * [backup-simplify]: Simplify (+ 0 1) into 1 3.780 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.780 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.781 * [taylor]: Taking taylor expansion of y in y 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (/ 1 1) into 1 3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.781 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.782 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 3.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.782 * [taylor]: Taking taylor expansion of y in y 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (* 1 1) into 1 3.782 * [backup-simplify]: Simplify (/ 1 1) into 1 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.783 * [backup-simplify]: Simplify (+ 0 0) into 0 3.783 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 3.783 * [taylor]: Taking taylor expansion of 0 in y 3.783 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.784 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.786 * [backup-simplify]: Simplify (+ 0 0) into 0 3.786 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.786 * [taylor]: Taking taylor expansion of 0 in y 3.786 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.789 * [backup-simplify]: Simplify (+ 0 0) into 0 3.789 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.789 * [taylor]: Taking taylor expansion of 0 in y 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 3.791 * * * * [progress]: [ 2 / 3 ] generating series at (2) 3.791 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.791 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 3.791 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 3.791 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.791 * [taylor]: Taking taylor expansion of x in y 3.791 * [backup-simplify]: Simplify x into x 3.791 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 3.791 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.791 * [taylor]: Taking taylor expansion of y in y 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.792 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 3.792 * [taylor]: Taking taylor expansion of 2 in y 3.792 * [backup-simplify]: Simplify 2 into 2 3.792 * [taylor]: Taking taylor expansion of (* x y) in y 3.792 * [taylor]: Taking taylor expansion of x in y 3.792 * [backup-simplify]: Simplify x into x 3.792 * [taylor]: Taking taylor expansion of y in y 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 3.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.792 * [taylor]: Taking taylor expansion of x in x 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.792 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.792 * [taylor]: Taking taylor expansion of y in x 3.792 * [backup-simplify]: Simplify y into y 3.792 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.792 * [taylor]: Taking taylor expansion of 2 in x 3.792 * [backup-simplify]: Simplify 2 into 2 3.792 * [taylor]: Taking taylor expansion of (* x y) in x 3.792 * [taylor]: Taking taylor expansion of x in x 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [taylor]: Taking taylor expansion of y in x 3.792 * [backup-simplify]: Simplify y into y 3.792 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 3.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.792 * [taylor]: Taking taylor expansion of x in x 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.792 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.792 * [taylor]: Taking taylor expansion of y in x 3.792 * [backup-simplify]: Simplify y into y 3.792 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.792 * [taylor]: Taking taylor expansion of 2 in x 3.792 * [backup-simplify]: Simplify 2 into 2 3.793 * [taylor]: Taking taylor expansion of (* x y) in x 3.793 * [taylor]: Taking taylor expansion of x in x 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify 1 into 1 3.793 * [taylor]: Taking taylor expansion of y in x 3.793 * [backup-simplify]: Simplify y into y 3.793 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.793 * [backup-simplify]: Simplify (* 0 y) into 0 3.793 * [backup-simplify]: Simplify (* 2 0) into 0 3.794 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.794 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.794 * [taylor]: Taking taylor expansion of y in y 3.794 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify 1 into 1 3.794 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.795 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.795 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 3.795 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 3.795 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 3.795 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.796 * [taylor]: Taking taylor expansion of 2 in y 3.796 * [backup-simplify]: Simplify 2 into 2 3.796 * [taylor]: Taking taylor expansion of y in y 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (* 2 0) into 0 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify (* 1 1) into 1 3.797 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.798 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 3.799 * [backup-simplify]: Simplify (+ 0 0) into 0 3.799 * [backup-simplify]: Simplify (+ 1 0) into 1 3.799 * [taylor]: Taking taylor expansion of 1 in y 3.799 * [backup-simplify]: Simplify 1 into 1 3.799 * [backup-simplify]: Simplify 1 into 1 3.800 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.800 * [backup-simplify]: Simplify 2 into 2 3.800 * [backup-simplify]: Simplify (* 1 1) into 1 3.800 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.801 * [backup-simplify]: Simplify (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 3.801 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 3.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.801 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.801 * [taylor]: Taking taylor expansion of x in y 3.801 * [backup-simplify]: Simplify x into x 3.801 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.802 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.802 * [taylor]: Taking taylor expansion of y in y 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 1 into 1 3.802 * [backup-simplify]: Simplify (* 1 1) into 1 3.803 * [backup-simplify]: Simplify (/ 1 1) into 1 3.803 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.803 * [taylor]: Taking taylor expansion of 2 in y 3.803 * [backup-simplify]: Simplify 2 into 2 3.803 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.803 * [taylor]: Taking taylor expansion of (* x y) in y 3.803 * [taylor]: Taking taylor expansion of x in y 3.803 * [backup-simplify]: Simplify x into x 3.803 * [taylor]: Taking taylor expansion of y in y 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.803 * [backup-simplify]: Simplify (* x 0) into 0 3.803 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.804 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.804 * [taylor]: Taking taylor expansion of x in x 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 1 into 1 3.804 * [backup-simplify]: Simplify (* 1 1) into 1 3.804 * [backup-simplify]: Simplify (/ 1 1) into 1 3.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.805 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.805 * [taylor]: Taking taylor expansion of y in x 3.805 * [backup-simplify]: Simplify y into y 3.805 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.805 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.805 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.805 * [taylor]: Taking taylor expansion of 2 in x 3.805 * [backup-simplify]: Simplify 2 into 2 3.805 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.805 * [taylor]: Taking taylor expansion of (* x y) in x 3.805 * [taylor]: Taking taylor expansion of x in x 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 1 into 1 3.805 * [taylor]: Taking taylor expansion of y in x 3.805 * [backup-simplify]: Simplify y into y 3.805 * [backup-simplify]: Simplify (* 0 y) into 0 3.806 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.806 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.806 * [taylor]: Taking taylor expansion of x in x 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify 1 into 1 3.806 * [backup-simplify]: Simplify (* 1 1) into 1 3.807 * [backup-simplify]: Simplify (/ 1 1) into 1 3.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.807 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.807 * [taylor]: Taking taylor expansion of y in x 3.807 * [backup-simplify]: Simplify y into y 3.807 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.807 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.807 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.807 * [taylor]: Taking taylor expansion of 2 in x 3.807 * [backup-simplify]: Simplify 2 into 2 3.807 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.807 * [taylor]: Taking taylor expansion of (* x y) in x 3.807 * [taylor]: Taking taylor expansion of x in x 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 1 into 1 3.807 * [taylor]: Taking taylor expansion of y in x 3.807 * [backup-simplify]: Simplify y into y 3.807 * [backup-simplify]: Simplify (* 0 y) into 0 3.808 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.808 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.808 * [backup-simplify]: Simplify (+ 1 0) into 1 3.808 * [taylor]: Taking taylor expansion of 1 in y 3.808 * [backup-simplify]: Simplify 1 into 1 3.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.810 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.810 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.810 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 3.810 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.810 * [taylor]: Taking taylor expansion of 2 in y 3.810 * [backup-simplify]: Simplify 2 into 2 3.810 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.810 * [taylor]: Taking taylor expansion of y in y 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 1 into 1 3.810 * [backup-simplify]: Simplify (/ 1 1) into 1 3.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.813 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.814 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.814 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.814 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.814 * [taylor]: Taking taylor expansion of y in y 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify 1 into 1 3.814 * [backup-simplify]: Simplify (* 1 1) into 1 3.815 * [backup-simplify]: Simplify (/ 1 1) into 1 3.815 * [backup-simplify]: Simplify 1 into 1 3.815 * [backup-simplify]: Simplify (* 2 1) into 2 3.815 * [backup-simplify]: Simplify 2 into 2 3.815 * [backup-simplify]: Simplify 1 into 1 3.816 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.816 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 3.816 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 3.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 3.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.817 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.817 * [taylor]: Taking taylor expansion of x in y 3.817 * [backup-simplify]: Simplify x into x 3.817 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.817 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.817 * [taylor]: Taking taylor expansion of y in y 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [backup-simplify]: Simplify (* 1 1) into 1 3.818 * [backup-simplify]: Simplify (/ 1 1) into 1 3.818 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.818 * [taylor]: Taking taylor expansion of 2 in y 3.818 * [backup-simplify]: Simplify 2 into 2 3.818 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.818 * [taylor]: Taking taylor expansion of (* x y) in y 3.818 * [taylor]: Taking taylor expansion of x in y 3.818 * [backup-simplify]: Simplify x into x 3.818 * [taylor]: Taking taylor expansion of y in y 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (* x 0) into 0 3.819 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.819 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.819 * [taylor]: Taking taylor expansion of x in x 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify 1 into 1 3.819 * [backup-simplify]: Simplify (* 1 1) into 1 3.820 * [backup-simplify]: Simplify (/ 1 1) into 1 3.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.820 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.820 * [taylor]: Taking taylor expansion of y in x 3.820 * [backup-simplify]: Simplify y into y 3.820 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.820 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.820 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.820 * [taylor]: Taking taylor expansion of 2 in x 3.820 * [backup-simplify]: Simplify 2 into 2 3.820 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.820 * [taylor]: Taking taylor expansion of (* x y) in x 3.820 * [taylor]: Taking taylor expansion of x in x 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [taylor]: Taking taylor expansion of y in x 3.820 * [backup-simplify]: Simplify y into y 3.820 * [backup-simplify]: Simplify (* 0 y) into 0 3.821 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.821 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 3.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.821 * [taylor]: Taking taylor expansion of x in x 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (* 1 1) into 1 3.822 * [backup-simplify]: Simplify (/ 1 1) into 1 3.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.822 * [taylor]: Taking taylor expansion of y in x 3.822 * [backup-simplify]: Simplify y into y 3.822 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.822 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.822 * [taylor]: Taking taylor expansion of 2 in x 3.822 * [backup-simplify]: Simplify 2 into 2 3.822 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.822 * [taylor]: Taking taylor expansion of (* x y) in x 3.822 * [taylor]: Taking taylor expansion of x in x 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 1 into 1 3.822 * [taylor]: Taking taylor expansion of y in x 3.822 * [backup-simplify]: Simplify y into y 3.822 * [backup-simplify]: Simplify (* 0 y) into 0 3.823 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.823 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.823 * [backup-simplify]: Simplify (+ 1 0) into 1 3.824 * [taylor]: Taking taylor expansion of 1 in y 3.824 * [backup-simplify]: Simplify 1 into 1 3.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.825 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.825 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.825 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 3.825 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.825 * [taylor]: Taking taylor expansion of 2 in y 3.825 * [backup-simplify]: Simplify 2 into 2 3.825 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.825 * [taylor]: Taking taylor expansion of y in y 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify 1 into 1 3.826 * [backup-simplify]: Simplify (/ 1 1) into 1 3.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.829 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.829 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.829 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.829 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.829 * [taylor]: Taking taylor expansion of y in y 3.829 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify 1 into 1 3.830 * [backup-simplify]: Simplify (* 1 1) into 1 3.830 * [backup-simplify]: Simplify (/ 1 1) into 1 3.830 * [backup-simplify]: Simplify 1 into 1 3.830 * [backup-simplify]: Simplify (* 2 1) into 2 3.831 * [backup-simplify]: Simplify 2 into 2 3.831 * [backup-simplify]: Simplify 1 into 1 3.831 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 3.831 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 3.831 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 3.831 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 3.832 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 3.832 * [taylor]: Taking taylor expansion of x in y 3.832 * [backup-simplify]: Simplify x into x 3.832 * [taylor]: Taking taylor expansion of (+ x y) in y 3.832 * [taylor]: Taking taylor expansion of x in y 3.832 * [backup-simplify]: Simplify x into x 3.832 * [taylor]: Taking taylor expansion of y in y 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 3.832 * [taylor]: Taking taylor expansion of x in x 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [taylor]: Taking taylor expansion of (+ x y) in x 3.832 * [taylor]: Taking taylor expansion of x in x 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [taylor]: Taking taylor expansion of y in x 3.832 * [backup-simplify]: Simplify y into y 3.832 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 3.832 * [taylor]: Taking taylor expansion of x in x 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [taylor]: Taking taylor expansion of (+ x y) in x 3.832 * [taylor]: Taking taylor expansion of x in x 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [taylor]: Taking taylor expansion of y in x 3.832 * [backup-simplify]: Simplify y into y 3.832 * [backup-simplify]: Simplify (+ 0 y) into y 3.832 * [backup-simplify]: Simplify (* 0 y) into 0 3.832 * [taylor]: Taking taylor expansion of 0 in y 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify (+ 1 0) into 1 3.834 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 3.834 * [taylor]: Taking taylor expansion of y in y 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify (+ 0 0) into 0 3.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 3.835 * [taylor]: Taking taylor expansion of 1 in y 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify (+ 0 0) into 0 3.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 3.836 * [taylor]: Taking taylor expansion of 0 in y 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify (+ 0 0) into 0 3.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 3.839 * [taylor]: Taking taylor expansion of 0 in y 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 3.839 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 3.839 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 3.839 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 3.839 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.839 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.839 * [taylor]: Taking taylor expansion of y in y 3.839 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify 1 into 1 3.840 * [backup-simplify]: Simplify (/ 1 1) into 1 3.840 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.840 * [taylor]: Taking taylor expansion of x in y 3.840 * [backup-simplify]: Simplify x into x 3.840 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.840 * [taylor]: Taking taylor expansion of x in y 3.840 * [backup-simplify]: Simplify x into x 3.840 * [backup-simplify]: Simplify (+ 1 0) into 1 3.840 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.840 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.841 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.841 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.841 * [taylor]: Taking taylor expansion of y in x 3.841 * [backup-simplify]: Simplify y into y 3.841 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.841 * [taylor]: Taking taylor expansion of x in x 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.841 * [backup-simplify]: Simplify (/ 1 1) into 1 3.841 * [taylor]: Taking taylor expansion of x in x 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (+ 0 1) into 1 3.842 * [backup-simplify]: Simplify (/ 1 1) into 1 3.842 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.842 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.842 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.842 * [taylor]: Taking taylor expansion of y in x 3.842 * [backup-simplify]: Simplify y into y 3.842 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.842 * [taylor]: Taking taylor expansion of x in x 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.843 * [backup-simplify]: Simplify (/ 1 1) into 1 3.843 * [taylor]: Taking taylor expansion of x in x 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 1 into 1 3.843 * [backup-simplify]: Simplify (+ 0 1) into 1 3.843 * [backup-simplify]: Simplify (/ 1 1) into 1 3.844 * [taylor]: Taking taylor expansion of 1 in y 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.845 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 3.845 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.845 * [taylor]: Taking taylor expansion of y in y 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 1 into 1 3.845 * [backup-simplify]: Simplify (/ 1 1) into 1 3.845 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.847 * [backup-simplify]: Simplify (+ 0 0) into 0 3.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 3.848 * [taylor]: Taking taylor expansion of 0 in y 3.848 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.850 * [backup-simplify]: Simplify (+ 0 0) into 0 3.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.852 * [taylor]: Taking taylor expansion of 0 in y 3.852 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (+ 0 0) into 0 3.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.857 * [taylor]: Taking taylor expansion of 0 in y 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 3.858 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 3.858 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 3.858 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 3.858 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 3.858 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.858 * [taylor]: Taking taylor expansion of y in y 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify 1 into 1 3.858 * [backup-simplify]: Simplify (/ 1 1) into 1 3.859 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.859 * [taylor]: Taking taylor expansion of x in y 3.859 * [backup-simplify]: Simplify x into x 3.859 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.859 * [taylor]: Taking taylor expansion of x in y 3.859 * [backup-simplify]: Simplify x into x 3.859 * [backup-simplify]: Simplify (+ 1 0) into 1 3.859 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.859 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.859 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.859 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.859 * [taylor]: Taking taylor expansion of y in x 3.859 * [backup-simplify]: Simplify y into y 3.859 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.859 * [taylor]: Taking taylor expansion of x in x 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify (/ 1 1) into 1 3.860 * [taylor]: Taking taylor expansion of x in x 3.860 * [backup-simplify]: Simplify 0 into 0 3.860 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify (+ 0 1) into 1 3.861 * [backup-simplify]: Simplify (/ 1 1) into 1 3.861 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 3.861 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 3.861 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.861 * [taylor]: Taking taylor expansion of y in x 3.861 * [backup-simplify]: Simplify y into y 3.861 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.861 * [taylor]: Taking taylor expansion of x in x 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 1 into 1 3.861 * [backup-simplify]: Simplify (/ 1 1) into 1 3.861 * [taylor]: Taking taylor expansion of x in x 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 1 into 1 3.862 * [backup-simplify]: Simplify (+ 0 1) into 1 3.862 * [backup-simplify]: Simplify (/ 1 1) into 1 3.862 * [taylor]: Taking taylor expansion of 1 in y 3.862 * [backup-simplify]: Simplify 1 into 1 3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 3.864 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 3.864 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.864 * [taylor]: Taking taylor expansion of y in y 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (/ 1 1) into 1 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.866 * [backup-simplify]: Simplify (+ 0 0) into 0 3.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 3.867 * [taylor]: Taking taylor expansion of 0 in y 3.867 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.869 * [backup-simplify]: Simplify (+ 0 0) into 0 3.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.871 * [taylor]: Taking taylor expansion of 0 in y 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ 0 0) into 0 3.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.875 * [taylor]: Taking taylor expansion of 0 in y 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 3.876 * * * [progress]: simplifying candidates 3.877 * [simplify]: Simplifying: (expm1 (* (+ x y) y)) (log1p (* (+ x y) y)) (* (+ x y) y) (+ (log (+ x y)) (log y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (* (* (* (+ x y) y) (* (+ x y) y)) (* (+ x y) y)) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (* (+ x y) 1) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (expm1 (+ (* (+ x y) x) (* (+ x y) y))) (log1p (+ (* (+ x y) x) (* (+ x y) y))) (* (exp (* (+ x y) x)) (exp (* (+ x y) y))) (log (+ (* (+ x y) x) (* (+ x y) y))) (exp (+ (* (+ x y) x) (* (+ x y) y))) (* (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (cbrt (+ (* (+ x y) x) (* (+ x y) y)))) (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (* (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* (+ x y) x) 3) (pow (* (+ x y) y) 3)) (+ (* (* (+ x y) x) (* (+ x y) x)) (- (* (* (+ x y) y) (* (+ x y) y)) (* (* (+ x y) x) (* (+ x y) y)))) (- (* (* (+ x y) x) (* (+ x y) x)) (* (* (+ x y) y) (* (+ x y) y))) (- (* (+ x y) x) (* (+ x y) y)) (+ x y) (expm1 (* (+ x y) x)) (log1p (* (+ x y) x)) (* (+ x y) x) (+ (log (+ x y)) (log x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (* (+ x y) 1) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 3.879 * * [simplify]: Extracting # 0 : cost 0 3.880 * * [simplify]: Extracting # 1 : cost 0 3.880 * * [simplify]: Extracting # 2 : cost 0 3.880 * * [simplify]: Extracting # 3 : cost 0 3.880 * * [simplify]: Extracting # 4 : cost 0 3.881 * * [simplify]: Extracting # 5 : cost 0 3.881 * * [simplify]: Extracting # 6 : cost 0 3.881 * * [simplify]: iteration 0 : 112 enodes (cost 875 ) 3.923 * * [simplify]: Extracting # 0 : cost 0 3.924 * * [simplify]: Extracting # 1 : cost 0 3.924 * * [simplify]: Extracting # 2 : cost 0 3.925 * * [simplify]: Extracting # 3 : cost 0 3.925 * * [simplify]: Extracting # 4 : cost 0 3.926 * * [simplify]: Extracting # 5 : cost 0 3.927 * * [simplify]: iteration 1 : 311 enodes (cost 745 ) 4.199 * * [simplify]: Extracting # 0 : cost 0 4.202 * * [simplify]: Extracting # 1 : cost 0 4.205 * * [simplify]: Extracting # 2 : cost 0 4.208 * * [simplify]: Extracting # 3 : cost 0 4.210 * * [simplify]: Extracting # 4 : cost 0 4.213 * * [simplify]: iteration 2 : 1205 enodes (cost 663 ) 5.379 * * [simplify]: Extracting # 0 : cost 0 5.385 * * [simplify]: Extracting # 1 : cost 0 5.392 * * [simplify]: Extracting # 2 : cost 0 5.398 * * [simplify]: Extracting # 3 : cost 0 5.405 * * [simplify]: Extracting # 4 : cost 0 5.419 * * [simplify]: iteration done: 5000 enodes (cost 637 ) 5.419 * [simplify]: Simplified to: (expm1 (* (+ x y) y)) (log1p (* (+ x y) y)) (* (+ x y) y) (log (* (+ x y) y)) (log (* (+ x y) y)) (exp (* (+ x y) y)) (pow (* (+ x y) y) 3) (* (cbrt (* (+ x y) y)) (cbrt (* (+ x y) y))) (cbrt (* (+ x y) y)) (pow (* (+ x y) y) 3) (sqrt (* (+ x y) y)) (sqrt (* (+ x y) y)) (* (sqrt (+ x y)) (sqrt y)) (* (sqrt (+ x y)) (sqrt y)) (* (+ x y) (* (cbrt y) (cbrt y))) (* (+ x y) (sqrt y)) (+ x y) (* (cbrt (+ x y)) y) (* (sqrt (+ x y)) y) (* (+ x y) y) (* (+ x y) y) (* (+ (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (* (fma x x (* y (- y x))) (+ x y))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))) (fma (* (+ (pow x 3) (pow y 3)) x) (- x y) (* (fma x x (* y (- y x))) (* (- (* x x) (* y y)) y))) (* (- x y) (fma x x (* y (- y x)))) (fma (* (- (* x x) (* y y)) x) (fma x x (* y (- y x))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (fma x x (* y (- y x)))) (* (* (- x y) (- (* x x) (* y y))) (+ x y)) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (* (+ x y) (+ (* y (* (+ x y) (- y x))) (* (+ x y) (* x x)))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (expm1 (* (+ x y) x)) (log1p (* (+ x y) x)) (* (+ x y) x) (log (* (+ x y) x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (pow (* (+ x y) x) 3) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (pow (* (+ x y) x) 3) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (+ x y) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (* (+ x y) y) (* (+ x y) y) (* (+ x y) y) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) (* (+ x y) x) (* (+ x y) x) (* (+ x y) x) 5.420 * * * [progress]: adding candidates to table 5.610 * * [progress]: iteration 3 / 4 5.610 * * * [progress]: picking best candidate 5.612 * * * * [pick]: Picked # 5.612 * * * [progress]: localizing error 5.622 * * * [progress]: generating rewritten candidates 5.622 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.622 * * * [progress]: generating series expansions 5.622 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.623 * [backup-simplify]: Simplify (fma y (fma x 2 y) (* x x)) into (fma y (fma x 2 y) (pow x 2)) 5.623 * [approximate]: Taking taylor expansion of (fma y (fma x 2 y) (pow x 2)) in (y x) around 0 5.623 * [taylor]: Taking taylor expansion of (fma y (fma x 2 y) (pow x 2)) in x 5.623 * [taylor]: Rewrote expression to (+ (* y (fma x 2 y)) (pow x 2)) 5.623 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 5.623 * [taylor]: Taking taylor expansion of y in x 5.623 * [backup-simplify]: Simplify y into y 5.623 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 5.623 * [taylor]: Rewrote expression to (+ (* x 2) y) 5.623 * [taylor]: Taking taylor expansion of (* x 2) in x 5.623 * [taylor]: Taking taylor expansion of x in x 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify 1 into 1 5.623 * [taylor]: Taking taylor expansion of 2 in x 5.623 * [backup-simplify]: Simplify 2 into 2 5.623 * [taylor]: Taking taylor expansion of y in x 5.623 * [backup-simplify]: Simplify y into y 5.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.623 * [taylor]: Taking taylor expansion of x in x 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify 1 into 1 5.623 * [taylor]: Taking taylor expansion of (fma y (fma x 2 y) (pow x 2)) in y 5.623 * [taylor]: Rewrote expression to (+ (* y (fma x 2 y)) (pow x 2)) 5.623 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 5.623 * [taylor]: Taking taylor expansion of y in y 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify 1 into 1 5.623 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 5.623 * [taylor]: Rewrote expression to (+ (* x 2) y) 5.623 * [taylor]: Taking taylor expansion of (* x 2) in y 5.623 * [taylor]: Taking taylor expansion of x in y 5.624 * [backup-simplify]: Simplify x into x 5.624 * [taylor]: Taking taylor expansion of 2 in y 5.624 * [backup-simplify]: Simplify 2 into 2 5.624 * [taylor]: Taking taylor expansion of y in y 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.624 * [taylor]: Taking taylor expansion of x in y 5.624 * [backup-simplify]: Simplify x into x 5.624 * [taylor]: Taking taylor expansion of (fma y (fma x 2 y) (pow x 2)) in y 5.624 * [taylor]: Rewrote expression to (+ (* y (fma x 2 y)) (pow x 2)) 5.624 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 5.624 * [taylor]: Taking taylor expansion of y in y 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 5.624 * [taylor]: Rewrote expression to (+ (* x 2) y) 5.624 * [taylor]: Taking taylor expansion of (* x 2) in y 5.624 * [taylor]: Taking taylor expansion of x in y 5.624 * [backup-simplify]: Simplify x into x 5.624 * [taylor]: Taking taylor expansion of 2 in y 5.624 * [backup-simplify]: Simplify 2 into 2 5.624 * [taylor]: Taking taylor expansion of y in y 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.624 * [taylor]: Taking taylor expansion of x in y 5.624 * [backup-simplify]: Simplify x into x 5.624 * [backup-simplify]: Simplify (* x 2) into (* 2 x) 5.624 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 5.624 * [backup-simplify]: Simplify (* 0 (* 2 x)) into 0 5.624 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.624 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 5.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.625 * [taylor]: Taking taylor expansion of x in x 5.625 * [backup-simplify]: Simplify 0 into 0 5.625 * [backup-simplify]: Simplify 1 into 1 5.625 * [backup-simplify]: Simplify (+ (* x 0) (* 0 2)) into 0 5.626 * [backup-simplify]: Simplify (+ 0 1) into 1 5.626 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 x))) into (* 2 x) 5.626 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 5.626 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 5.626 * [taylor]: Taking taylor expansion of (* 2 x) in x 5.626 * [taylor]: Taking taylor expansion of 2 in x 5.626 * [backup-simplify]: Simplify 2 into 2 5.626 * [taylor]: Taking taylor expansion of x in x 5.626 * [backup-simplify]: Simplify 0 into 0 5.626 * [backup-simplify]: Simplify 1 into 1 5.627 * [backup-simplify]: Simplify (* 2 0) into 0 5.627 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 2))) into 0 5.627 * [backup-simplify]: Simplify (+ 0 0) into 0 5.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 x)))) into 1 5.628 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 5.628 * [backup-simplify]: Simplify (+ 1 0) into 1 5.628 * [taylor]: Taking taylor expansion of 1 in x 5.629 * [backup-simplify]: Simplify 1 into 1 5.629 * [backup-simplify]: Simplify 1 into 1 5.629 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.629 * [backup-simplify]: Simplify 2 into 2 5.629 * [backup-simplify]: Simplify (* 1 1) into 1 5.629 * [backup-simplify]: Simplify 1 into 1 5.630 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 5.630 * [backup-simplify]: Simplify (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (* (/ 1 x) (/ 1 x))) into (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) 5.630 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) in (y x) around 0 5.630 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) in x 5.630 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) (/ 1 (pow x 2))) 5.630 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) in x 5.630 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.630 * [taylor]: Taking taylor expansion of y in x 5.630 * [backup-simplify]: Simplify y into y 5.630 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.630 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 5.630 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 5.630 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 5.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.630 * [taylor]: Taking taylor expansion of x in x 5.630 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify 1 into 1 5.631 * [backup-simplify]: Simplify (/ 1 1) into 1 5.631 * [taylor]: Taking taylor expansion of 2 in x 5.631 * [backup-simplify]: Simplify 2 into 2 5.631 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.631 * [taylor]: Taking taylor expansion of y in x 5.631 * [backup-simplify]: Simplify y into y 5.631 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.631 * [taylor]: Taking taylor expansion of x in x 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify 1 into 1 5.631 * [backup-simplify]: Simplify (* 1 1) into 1 5.632 * [backup-simplify]: Simplify (/ 1 1) into 1 5.632 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) in y 5.632 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) (/ 1 (pow x 2))) 5.632 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) in y 5.632 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.632 * [taylor]: Taking taylor expansion of y in y 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 1 into 1 5.632 * [backup-simplify]: Simplify (/ 1 1) into 1 5.632 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 5.632 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 5.632 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 5.632 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.632 * [taylor]: Taking taylor expansion of x in y 5.632 * [backup-simplify]: Simplify x into x 5.632 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.632 * [taylor]: Taking taylor expansion of 2 in y 5.632 * [backup-simplify]: Simplify 2 into 2 5.633 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.633 * [taylor]: Taking taylor expansion of y in y 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ 1 1) into 1 5.633 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.633 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.633 * [taylor]: Taking taylor expansion of x in y 5.633 * [backup-simplify]: Simplify x into x 5.633 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.633 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.633 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) in y 5.633 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) (/ 1 (pow x 2))) 5.633 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) in y 5.633 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.633 * [taylor]: Taking taylor expansion of y in y 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.634 * [backup-simplify]: Simplify (/ 1 1) into 1 5.634 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 5.634 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 5.634 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 5.634 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.634 * [taylor]: Taking taylor expansion of x in y 5.634 * [backup-simplify]: Simplify x into x 5.634 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.634 * [taylor]: Taking taylor expansion of 2 in y 5.634 * [backup-simplify]: Simplify 2 into 2 5.634 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.634 * [taylor]: Taking taylor expansion of y in y 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 1 into 1 5.634 * [backup-simplify]: Simplify (/ 1 1) into 1 5.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.634 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.634 * [taylor]: Taking taylor expansion of x in y 5.634 * [backup-simplify]: Simplify x into x 5.634 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.635 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.635 * [backup-simplify]: Simplify (+ 0 1) into 1 5.635 * [backup-simplify]: Simplify (* 1 1) into 1 5.635 * [backup-simplify]: Simplify (+ 1 0) into 1 5.635 * [taylor]: Taking taylor expansion of 1 in x 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [backup-simplify]: Simplify (* (/ 1 x) 2) into (/ 2 x) 5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.636 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x)) 5.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.637 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 x))) (* 0 1)) into (* 2 (/ 1 x)) 5.637 * [backup-simplify]: Simplify (+ (* 2 (/ 1 x)) 0) into (* 2 (/ 1 x)) 5.637 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.637 * [taylor]: Taking taylor expansion of 2 in x 5.637 * [backup-simplify]: Simplify 2 into 2 5.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.637 * [taylor]: Taking taylor expansion of x in x 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 1 into 1 5.637 * [backup-simplify]: Simplify (/ 1 1) into 1 5.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.638 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 2)) into 0 5.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.639 * [backup-simplify]: Simplify (+ 0 0) into 0 5.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 x))) (* 0 1))) into 0 5.640 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.640 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.640 * [taylor]: Taking taylor expansion of x in x 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (* 1 1) into 1 5.641 * [backup-simplify]: Simplify (/ 1 1) into 1 5.641 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (* 2 1) into 2 5.641 * [backup-simplify]: Simplify 2 into 2 5.641 * [backup-simplify]: Simplify 1 into 1 5.642 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 5.642 * [backup-simplify]: Simplify (fma (/ 1 (- y)) (fma (/ 1 (- x)) 2 (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) into (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) 5.642 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) in (y x) around 0 5.642 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) in x 5.642 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) (/ 1 (pow x 2))) 5.642 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) in x 5.642 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.642 * [taylor]: Taking taylor expansion of -1 in x 5.642 * [backup-simplify]: Simplify -1 into -1 5.642 * [taylor]: Taking taylor expansion of y in x 5.642 * [backup-simplify]: Simplify y into y 5.642 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.642 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 5.642 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 5.642 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 5.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.642 * [taylor]: Taking taylor expansion of -1 in x 5.642 * [backup-simplify]: Simplify -1 into -1 5.642 * [taylor]: Taking taylor expansion of x in x 5.642 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify (/ -1 1) into -1 5.643 * [taylor]: Taking taylor expansion of 2 in x 5.643 * [backup-simplify]: Simplify 2 into 2 5.643 * [taylor]: Taking taylor expansion of (/ -1 y) in x 5.643 * [taylor]: Taking taylor expansion of -1 in x 5.643 * [backup-simplify]: Simplify -1 into -1 5.643 * [taylor]: Taking taylor expansion of y in x 5.643 * [backup-simplify]: Simplify y into y 5.643 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 5.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.643 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.643 * [taylor]: Taking taylor expansion of x in x 5.643 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify (* 1 1) into 1 5.644 * [backup-simplify]: Simplify (/ 1 1) into 1 5.644 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) in y 5.644 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) (/ 1 (pow x 2))) 5.644 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) in y 5.644 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.644 * [taylor]: Taking taylor expansion of -1 in y 5.644 * [backup-simplify]: Simplify -1 into -1 5.644 * [taylor]: Taking taylor expansion of y in y 5.644 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify 1 into 1 5.644 * [backup-simplify]: Simplify (/ -1 1) into -1 5.644 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 5.644 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 5.644 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 5.645 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.645 * [taylor]: Taking taylor expansion of -1 in y 5.645 * [backup-simplify]: Simplify -1 into -1 5.645 * [taylor]: Taking taylor expansion of x in y 5.645 * [backup-simplify]: Simplify x into x 5.645 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.645 * [taylor]: Taking taylor expansion of 2 in y 5.645 * [backup-simplify]: Simplify 2 into 2 5.645 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.645 * [taylor]: Taking taylor expansion of -1 in y 5.645 * [backup-simplify]: Simplify -1 into -1 5.645 * [taylor]: Taking taylor expansion of y in y 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify 1 into 1 5.645 * [backup-simplify]: Simplify (/ -1 1) into -1 5.645 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.645 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.645 * [taylor]: Taking taylor expansion of x in y 5.645 * [backup-simplify]: Simplify x into x 5.645 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.645 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.645 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) in y 5.645 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) (/ 1 (pow x 2))) 5.645 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) in y 5.646 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.646 * [taylor]: Taking taylor expansion of -1 in y 5.646 * [backup-simplify]: Simplify -1 into -1 5.646 * [taylor]: Taking taylor expansion of y in y 5.646 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify 1 into 1 5.646 * [backup-simplify]: Simplify (/ -1 1) into -1 5.646 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 5.646 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 5.646 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 5.646 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.646 * [taylor]: Taking taylor expansion of -1 in y 5.646 * [backup-simplify]: Simplify -1 into -1 5.646 * [taylor]: Taking taylor expansion of x in y 5.646 * [backup-simplify]: Simplify x into x 5.646 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.646 * [taylor]: Taking taylor expansion of 2 in y 5.646 * [backup-simplify]: Simplify 2 into 2 5.646 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.646 * [taylor]: Taking taylor expansion of -1 in y 5.646 * [backup-simplify]: Simplify -1 into -1 5.646 * [taylor]: Taking taylor expansion of y in y 5.646 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify 1 into 1 5.647 * [backup-simplify]: Simplify (/ -1 1) into -1 5.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.647 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.647 * [taylor]: Taking taylor expansion of x in y 5.647 * [backup-simplify]: Simplify x into x 5.647 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.647 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.647 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.648 * [backup-simplify]: Simplify (* -1 -1) into 1 5.648 * [backup-simplify]: Simplify (+ 1 0) into 1 5.648 * [taylor]: Taking taylor expansion of 1 in x 5.648 * [backup-simplify]: Simplify 1 into 1 5.648 * [backup-simplify]: Simplify (* (/ -1 x) 2) into (/ -2 x) 5.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.649 * [backup-simplify]: Simplify (+ (/ -2 x) 0) into (- (* 2 (/ 1 x))) 5.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.656 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 x)))) (* 0 -1)) into (* 2 (/ 1 x)) 5.656 * [backup-simplify]: Simplify (+ (* 2 (/ 1 x)) 0) into (* 2 (/ 1 x)) 5.656 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 5.656 * [taylor]: Taking taylor expansion of 2 in x 5.656 * [backup-simplify]: Simplify 2 into 2 5.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.656 * [taylor]: Taking taylor expansion of x in x 5.656 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify 1 into 1 5.657 * [backup-simplify]: Simplify (/ 1 1) into 1 5.657 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 5.657 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 2)) into 0 5.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.658 * [backup-simplify]: Simplify (+ 0 0) into 0 5.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.660 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1))) into 0 5.660 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 5.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.660 * [taylor]: Taking taylor expansion of x in x 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [backup-simplify]: Simplify (* 1 1) into 1 5.660 * [backup-simplify]: Simplify (/ 1 1) into 1 5.660 * [backup-simplify]: Simplify 1 into 1 5.661 * [backup-simplify]: Simplify (* 2 1) into 2 5.661 * [backup-simplify]: Simplify 2 into 2 5.661 * [backup-simplify]: Simplify 1 into 1 5.661 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 5.661 * * * [progress]: simplifying candidates 5.662 * [simplify]: Simplifying: (expm1 (fma y (fma x 2 y) (* x x))) (log1p (fma y (fma x 2 y) (* x x))) (* y (fma x 2 y)) (log (fma y (fma x 2 y) (* x x))) (exp (fma y (fma x 2 y) (* x x))) (* (cbrt (fma y (fma x 2 y) (* x x))) (cbrt (fma y (fma x 2 y) (* x x)))) (cbrt (fma y (fma x 2 y) (* x x))) (* (* (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x))) (fma y (fma x 2 y) (* x x))) (sqrt (fma y (fma x 2 y) (* x x))) (sqrt (fma y (fma x 2 y) (* x x))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 5.662 * * [simplify]: Extracting # 0 : cost 0 5.662 * * [simplify]: Extracting # 1 : cost 0 5.662 * * [simplify]: Extracting # 2 : cost 0 5.662 * * [simplify]: Extracting # 3 : cost 0 5.662 * * [simplify]: Extracting # 4 : cost 0 5.662 * * [simplify]: Extracting # 5 : cost 0 5.662 * * [simplify]: Extracting # 6 : cost 0 5.662 * * [simplify]: iteration 0 : 22 enodes (cost 165 ) 5.667 * * [simplify]: Extracting # 0 : cost 0 5.667 * * [simplify]: Extracting # 1 : cost 0 5.667 * * [simplify]: Extracting # 2 : cost 0 5.667 * * [simplify]: Extracting # 3 : cost 0 5.667 * * [simplify]: Extracting # 4 : cost 0 5.667 * * [simplify]: iteration 1 : 42 enodes (cost 165 ) 5.679 * * [simplify]: Extracting # 0 : cost 0 5.680 * * [simplify]: Extracting # 1 : cost 0 5.680 * * [simplify]: Extracting # 2 : cost 0 5.680 * * [simplify]: Extracting # 3 : cost 0 5.680 * * [simplify]: iteration 2 : 100 enodes (cost 135 ) 5.704 * * [simplify]: Extracting # 0 : cost 0 5.705 * * [simplify]: Extracting # 1 : cost 0 5.705 * * [simplify]: Extracting # 2 : cost 0 5.705 * * [simplify]: Extracting # 3 : cost 0 5.706 * * [simplify]: Extracting # 4 : cost 0 5.706 * * [simplify]: iteration 3 : 323 enodes (cost 135 ) 6.087 * * [simplify]: Extracting # 0 : cost 0 6.089 * * [simplify]: Extracting # 1 : cost 0 6.091 * * [simplify]: Extracting # 2 : cost 0 6.092 * * [simplify]: Extracting # 3 : cost 0 6.094 * * [simplify]: Extracting # 4 : cost 0 6.096 * * [simplify]: iteration 4 : 1691 enodes (cost 135 ) 6.876 * * [simplify]: Extracting # 0 : cost 0 6.882 * * [simplify]: Extracting # 1 : cost 0 6.889 * * [simplify]: Extracting # 2 : cost 0 6.896 * * [simplify]: Extracting # 3 : cost 0 6.907 * * [simplify]: Extracting # 4 : cost 0 6.914 * * [simplify]: iteration done: 5001 enodes (cost 135 ) 6.914 * [simplify]: Simplified to: (expm1 (fma y (fma x 2 y) (* x x))) (log1p (fma y (fma x 2 y) (* x x))) (* y (fma x 2 y)) (log (fma y (fma x 2 y) (* x x))) (exp (fma y (fma x 2 y) (* x x))) (* (cbrt (fma y (fma x 2 y) (* x x))) (cbrt (fma y (fma x 2 y) (* x x)))) (cbrt (fma y (fma x 2 y) (* x x))) (pow (fma y (fma x 2 y) (* x x)) 3) (sqrt (fma y (fma x 2 y) (* x x))) (sqrt (fma y (fma x 2 y) (* x x))) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) 6.915 * * * [progress]: adding candidates to table 6.946 * [progress]: [Phase 3 of 3] Extracting. 6.946 * * [regime]: Finding splitpoints for: (# #) 6.946 * * * [regime-changes]: Trying 2 branch expressions: (y x) 6.946 * * * * [regimes]: Trying to branch on y from (# #) 6.961 * * * * [regimes]: Trying to branch on x from (# #) 6.973 * * * [regime]: Found split indices: #