26.278 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: Extracting # 1 : cost 0 0.040 * * [simplify]: Extracting # 2 : cost 0 0.040 * * [simplify]: Extracting # 3 : cost 0 0.040 * * [simplify]: Extracting # 4 : cost 0 0.040 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: Extracting # 1 : cost 0 0.042 * * [simplify]: Extracting # 2 : cost 0 0.042 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.048 * * [simplify]: Extracting # 0 : cost 0 0.048 * * [simplify]: Extracting # 1 : cost 0 0.048 * * [simplify]: Extracting # 2 : cost 0 0.048 * * [simplify]: iteration 2 : 27 enodes (cost 7 ) 0.062 * * [simplify]: Extracting # 0 : cost 0 0.063 * * [simplify]: Extracting # 1 : cost 0 0.063 * * [simplify]: Extracting # 2 : cost 0 0.063 * * [simplify]: iteration 3 : 65 enodes (cost 7 ) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: Extracting # 1 : cost 0 0.094 * * [simplify]: Extracting # 2 : cost 0 0.094 * * [simplify]: iteration 4 : 104 enodes (cost 7 ) 0.138 * * [simplify]: Extracting # 0 : cost 0 0.138 * * [simplify]: Extracting # 1 : cost 0 0.139 * * [simplify]: Extracting # 2 : cost 0 0.139 * * [simplify]: Extracting # 3 : cost 0 0.139 * * [simplify]: iteration 5 : 134 enodes (cost 7 ) 0.189 * * [simplify]: Extracting # 0 : cost 0 0.189 * * [simplify]: iteration 6 : 154 enodes (cost 7 ) 0.226 * * [simplify]: Extracting # 0 : cost 0 0.227 * * [simplify]: Extracting # 1 : cost 0 0.227 * * [simplify]: Extracting # 2 : cost 0 0.227 * * [simplify]: iteration 7 : 171 enodes (cost 7 ) 0.271 * * [simplify]: Extracting # 0 : cost 0 0.272 * * [simplify]: iteration 8 : 173 enodes (cost 7 ) 0.314 * * [simplify]: Extracting # 0 : cost 0 0.315 * * [simplify]: iteration done: 173 enodes (cost 7 ) 0.315 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.315 * * [progress]: iteration 1 / 4 0.315 * * * [progress]: picking best candidate 0.318 * * * * [pick]: Picked # 0.318 * * * [progress]: localizing error 0.326 * * * [progress]: generating rewritten candidates 0.326 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.391 * * * [progress]: generating series expansions 0.391 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.391 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.391 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.391 * [taylor]: Taking taylor expansion of (+ x y) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [backup-simplify]: Simplify x into x 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (+ x 0) into x 0.391 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.391 * [taylor]: Taking taylor expansion of (+ x y) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [backup-simplify]: Simplify y into y 0.391 * [backup-simplify]: Simplify (+ 0 y) into y 0.391 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.391 * [taylor]: Taking taylor expansion of (+ x y) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [backup-simplify]: Simplify y into y 0.392 * [backup-simplify]: Simplify (+ 0 y) into y 0.392 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (+ 1 0) into 1 0.392 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.393 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.393 * [taylor]: Taking taylor expansion of 2 in y 0.393 * [backup-simplify]: Simplify 2 into 2 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (* 2 0) into 0 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.394 * [taylor]: Taking taylor expansion of 1 in y 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.394 * [backup-simplify]: Simplify 2 into 2 0.395 * [backup-simplify]: Simplify (* 1 1) into 1 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [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)))) 0.395 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.395 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [backup-simplify]: Simplify x into x 0.396 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.396 * [backup-simplify]: Simplify (+ 1 0) into 1 0.396 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [backup-simplify]: Simplify y into y 0.396 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [backup-simplify]: Simplify (+ 0 1) into 1 0.397 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [backup-simplify]: Simplify y into y 0.397 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [backup-simplify]: Simplify (+ 0 1) into 1 0.399 * [backup-simplify]: Simplify (* 1 1) into 1 0.399 * [taylor]: Taking taylor expansion of 1 in y 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.399 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.399 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.399 * [taylor]: Taking taylor expansion of 2 in y 0.399 * [backup-simplify]: Simplify 2 into 2 0.400 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 2 1) into 2 0.403 * [backup-simplify]: Simplify 2 into 2 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [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)))) 0.404 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.404 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.404 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.404 * [taylor]: Taking taylor expansion of x in y 0.404 * [backup-simplify]: Simplify x into x 0.404 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.405 * [backup-simplify]: Simplify (+ 1 0) into 1 0.405 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [backup-simplify]: Simplify y into y 0.405 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [backup-simplify]: Simplify (+ 0 1) into 1 0.406 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [backup-simplify]: Simplify y into y 0.406 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [backup-simplify]: Simplify (+ 0 1) into 1 0.407 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [taylor]: Taking taylor expansion of 1 in y 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.407 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.408 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.408 * [taylor]: Taking taylor expansion of 2 in y 0.408 * [backup-simplify]: Simplify 2 into 2 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (* 2 1) into 2 0.411 * [backup-simplify]: Simplify 2 into 2 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [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)))) 0.411 * * * [progress]: simplifying candidates 0.412 * [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)))) 0.421 * * [simplify]: Extracting # 0 : cost 0 0.421 * * [simplify]: Extracting # 1 : cost 0 0.421 * * [simplify]: Extracting # 2 : cost 0 0.421 * * [simplify]: Extracting # 3 : cost 0 0.422 * * [simplify]: Extracting # 4 : cost 0 0.422 * * [simplify]: Extracting # 5 : cost 0 0.422 * * [simplify]: Extracting # 6 : cost 0 0.422 * * [simplify]: iteration 0 : 64 enodes (cost 532 ) 0.451 * * [simplify]: Extracting # 0 : cost 0 0.451 * * [simplify]: Extracting # 1 : cost 0 0.451 * * [simplify]: Extracting # 2 : cost 0 0.452 * * [simplify]: Extracting # 3 : cost 0 0.452 * * [simplify]: Extracting # 4 : cost 0 0.452 * * [simplify]: iteration 1 : 193 enodes (cost 465 ) 0.588 * * [simplify]: Extracting # 0 : cost 0 0.589 * * [simplify]: Extracting # 1 : cost 0 0.591 * * [simplify]: Extracting # 2 : cost 0 0.592 * * [simplify]: Extracting # 3 : cost 0 0.593 * * [simplify]: Extracting # 4 : cost 0 0.594 * * [simplify]: iteration 2 : 792 enodes (cost 416 ) 2.303 * * [simplify]: Extracting # 0 : cost 0 2.314 * * [simplify]: Extracting # 1 : cost 0 2.321 * * [simplify]: Extracting # 2 : cost 0 2.328 * * [simplify]: Extracting # 3 : cost 0 2.336 * * [simplify]: Extracting # 4 : cost 0 2.343 * * [simplify]: Extracting # 5 : cost 0 2.350 * * [simplify]: iteration 3 : 3639 enodes (cost 380 ) 4.570 * * [simplify]: Extracting # 0 : cost 0 4.579 * * [simplify]: Extracting # 1 : cost 0 4.596 * * [simplify]: iteration done: 5000 enodes (cost 380 ) 4.597 * [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)) 4.597 * * * [progress]: adding candidates to table 4.693 * * [progress]: iteration 2 / 4 4.693 * * * [progress]: picking best candidate 4.697 * * * * [pick]: Picked # 4.697 * * * [progress]: localizing error 4.708 * * * [progress]: generating rewritten candidates 4.709 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 4.746 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 4.774 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 4.822 * * * [progress]: generating series expansions 4.822 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 4.822 * [backup-simplify]: Simplify (* (+ x y) y) into (* y (+ x y)) 4.822 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (x y) around 0 4.822 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 4.822 * [taylor]: Taking taylor expansion of y in y 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 1 into 1 4.822 * [taylor]: Taking taylor expansion of (+ x y) in y 4.822 * [taylor]: Taking taylor expansion of x in y 4.822 * [backup-simplify]: Simplify x into x 4.822 * [taylor]: Taking taylor expansion of y in y 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 1 into 1 4.822 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 4.822 * [taylor]: Taking taylor expansion of y in x 4.822 * [backup-simplify]: Simplify y into y 4.822 * [taylor]: Taking taylor expansion of (+ x y) in x 4.822 * [taylor]: Taking taylor expansion of x in x 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 1 into 1 4.822 * [taylor]: Taking taylor expansion of y in x 4.822 * [backup-simplify]: Simplify y into y 4.822 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 4.823 * [taylor]: Taking taylor expansion of y in x 4.823 * [backup-simplify]: Simplify y into y 4.823 * [taylor]: Taking taylor expansion of (+ x y) in x 4.823 * [taylor]: Taking taylor expansion of x in x 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify 1 into 1 4.823 * [taylor]: Taking taylor expansion of y in x 4.823 * [backup-simplify]: Simplify y into y 4.823 * [backup-simplify]: Simplify (+ 0 y) into y 4.823 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.823 * [taylor]: Taking taylor expansion of y in y 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify 1 into 1 4.824 * [backup-simplify]: Simplify (+ 1 0) into 1 4.824 * [backup-simplify]: Simplify (+ (* y 1) (* 0 y)) into y 4.824 * [taylor]: Taking taylor expansion of y in y 4.824 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify 1 into 1 4.824 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify (+ 0 0) into 0 4.825 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 y))) into 0 4.825 * [taylor]: Taking taylor expansion of 0 in y 4.825 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify 1 into 1 4.826 * [backup-simplify]: Simplify (* 1 1) into 1 4.826 * [backup-simplify]: Simplify 1 into 1 4.826 * [backup-simplify]: Simplify (+ 0 0) into 0 4.827 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 4.827 * [taylor]: Taking taylor expansion of 0 in y 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify (+ 0 0) into 0 4.830 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 4.830 * [taylor]: Taking taylor expansion of 0 in y 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (* y x))) into (+ (pow y 2) (* x y)) 4.830 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (+ (/ 1 y) (/ 1 x)) y) 4.830 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 4.830 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 4.830 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.830 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.830 * [taylor]: Taking taylor expansion of y in y 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 1 into 1 4.831 * [backup-simplify]: Simplify (/ 1 1) into 1 4.831 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.831 * [taylor]: Taking taylor expansion of x in y 4.831 * [backup-simplify]: Simplify x into x 4.831 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.831 * [taylor]: Taking taylor expansion of y in y 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 1 into 1 4.832 * [backup-simplify]: Simplify (+ 1 0) into 1 4.832 * [backup-simplify]: Simplify (/ 1 1) into 1 4.832 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 4.832 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.832 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.832 * [taylor]: Taking taylor expansion of y in x 4.832 * [backup-simplify]: Simplify y into y 4.832 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.832 * [taylor]: Taking taylor expansion of x in x 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 1 into 1 4.833 * [backup-simplify]: Simplify (/ 1 1) into 1 4.833 * [taylor]: Taking taylor expansion of y in x 4.833 * [backup-simplify]: Simplify y into y 4.833 * [backup-simplify]: Simplify (+ 0 1) into 1 4.833 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.833 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 4.833 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.833 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.833 * [taylor]: Taking taylor expansion of y in x 4.833 * [backup-simplify]: Simplify y into y 4.833 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.833 * [taylor]: Taking taylor expansion of x in x 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify 1 into 1 4.834 * [backup-simplify]: Simplify (/ 1 1) into 1 4.834 * [taylor]: Taking taylor expansion of y in x 4.834 * [backup-simplify]: Simplify y into y 4.834 * [backup-simplify]: Simplify (+ 0 1) into 1 4.834 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.835 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.835 * [taylor]: Taking taylor expansion of y in y 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify 1 into 1 4.835 * [backup-simplify]: Simplify (/ 1 1) into 1 4.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.836 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.836 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 4.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.836 * [taylor]: Taking taylor expansion of y in y 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.837 * [backup-simplify]: Simplify (* 1 1) into 1 4.837 * [backup-simplify]: Simplify (/ 1 1) into 1 4.837 * [backup-simplify]: Simplify 1 into 1 4.837 * [backup-simplify]: Simplify 1 into 1 4.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.838 * [backup-simplify]: Simplify (+ 0 0) into 0 4.839 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 4.839 * [taylor]: Taking taylor expansion of 0 in y 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.840 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.842 * [backup-simplify]: Simplify (+ 0 0) into 0 4.843 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.843 * [taylor]: Taking taylor expansion of 0 in y 4.843 * [backup-simplify]: Simplify 0 into 0 4.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.845 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.847 * [backup-simplify]: Simplify (+ 0 0) into 0 4.847 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.847 * [taylor]: Taking taylor expansion of 0 in y 4.847 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.849 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* x y)) 4.850 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 4.850 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 4.850 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 4.850 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.850 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.850 * [taylor]: Taking taylor expansion of y in y 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 1 into 1 4.851 * [backup-simplify]: Simplify (/ 1 1) into 1 4.851 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.851 * [taylor]: Taking taylor expansion of x in y 4.851 * [backup-simplify]: Simplify x into x 4.851 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.851 * [taylor]: Taking taylor expansion of y in y 4.851 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify 1 into 1 4.852 * [backup-simplify]: Simplify (+ 1 0) into 1 4.852 * [backup-simplify]: Simplify (/ 1 1) into 1 4.852 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 4.852 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.852 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.852 * [taylor]: Taking taylor expansion of y in x 4.852 * [backup-simplify]: Simplify y into y 4.852 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.852 * [taylor]: Taking taylor expansion of x in x 4.852 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify 1 into 1 4.853 * [backup-simplify]: Simplify (/ 1 1) into 1 4.853 * [taylor]: Taking taylor expansion of y in x 4.853 * [backup-simplify]: Simplify y into y 4.853 * [backup-simplify]: Simplify (+ 0 1) into 1 4.853 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.853 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 4.853 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.853 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.853 * [taylor]: Taking taylor expansion of y in x 4.853 * [backup-simplify]: Simplify y into y 4.853 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.854 * [taylor]: Taking taylor expansion of x in x 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify 1 into 1 4.854 * [backup-simplify]: Simplify (/ 1 1) into 1 4.854 * [taylor]: Taking taylor expansion of y in x 4.854 * [backup-simplify]: Simplify y into y 4.854 * [backup-simplify]: Simplify (+ 0 1) into 1 4.855 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.855 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.855 * [taylor]: Taking taylor expansion of y in y 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.855 * [backup-simplify]: Simplify (/ 1 1) into 1 4.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.856 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.856 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 4.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.856 * [taylor]: Taking taylor expansion of y in y 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 1 into 1 4.857 * [backup-simplify]: Simplify (* 1 1) into 1 4.857 * [backup-simplify]: Simplify (/ 1 1) into 1 4.857 * [backup-simplify]: Simplify 1 into 1 4.857 * [backup-simplify]: Simplify 1 into 1 4.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.859 * [backup-simplify]: Simplify (+ 0 0) into 0 4.859 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 4.859 * [taylor]: Taking taylor expansion of 0 in y 4.859 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.861 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.861 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.862 * [backup-simplify]: Simplify (+ 0 0) into 0 4.862 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.862 * [taylor]: Taking taylor expansion of 0 in y 4.862 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.864 * [backup-simplify]: Simplify 0 into 0 4.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.865 * [backup-simplify]: Simplify (+ 0 0) into 0 4.866 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.866 * [taylor]: Taking taylor expansion of 0 in y 4.866 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* x y)) 4.868 * * * * [progress]: [ 2 / 3 ] generating series at (2) 4.869 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 4.869 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 4.869 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 4.869 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.869 * [taylor]: Taking taylor expansion of x in y 4.869 * [backup-simplify]: Simplify x into x 4.869 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 4.869 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.869 * [taylor]: Taking taylor expansion of y in y 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.869 * [taylor]: Taking taylor expansion of 2 in y 4.869 * [backup-simplify]: Simplify 2 into 2 4.869 * [taylor]: Taking taylor expansion of (* x y) in y 4.869 * [taylor]: Taking taylor expansion of x in y 4.869 * [backup-simplify]: Simplify x into x 4.869 * [taylor]: Taking taylor expansion of y in y 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 4.869 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.869 * [taylor]: Taking taylor expansion of x in x 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.869 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.870 * [taylor]: Taking taylor expansion of y in x 4.870 * [backup-simplify]: Simplify y into y 4.870 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.870 * [taylor]: Taking taylor expansion of 2 in x 4.870 * [backup-simplify]: Simplify 2 into 2 4.870 * [taylor]: Taking taylor expansion of (* x y) in x 4.870 * [taylor]: Taking taylor expansion of x in x 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [taylor]: Taking taylor expansion of y in x 4.870 * [backup-simplify]: Simplify y into y 4.870 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 4.870 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.870 * [taylor]: Taking taylor expansion of x in x 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.870 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.870 * [taylor]: Taking taylor expansion of y in x 4.870 * [backup-simplify]: Simplify y into y 4.870 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.870 * [taylor]: Taking taylor expansion of 2 in x 4.870 * [backup-simplify]: Simplify 2 into 2 4.870 * [taylor]: Taking taylor expansion of (* x y) in x 4.870 * [taylor]: Taking taylor expansion of x in x 4.870 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify 1 into 1 4.870 * [taylor]: Taking taylor expansion of y in x 4.870 * [backup-simplify]: Simplify y into y 4.870 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.870 * [backup-simplify]: Simplify (* 0 y) into 0 4.871 * [backup-simplify]: Simplify (* 2 0) into 0 4.871 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.872 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.872 * [taylor]: Taking taylor expansion of y in y 4.872 * [backup-simplify]: Simplify 0 into 0 4.872 * [backup-simplify]: Simplify 1 into 1 4.872 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.872 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.873 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 4.873 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 4.873 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 4.873 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.873 * [taylor]: Taking taylor expansion of 2 in y 4.873 * [backup-simplify]: Simplify 2 into 2 4.873 * [taylor]: Taking taylor expansion of y in y 4.873 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify 1 into 1 4.874 * [backup-simplify]: Simplify (* 2 0) into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify (* 1 1) into 1 4.874 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.875 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.876 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 4.877 * [backup-simplify]: Simplify (+ 0 0) into 0 4.877 * [backup-simplify]: Simplify (+ 1 0) into 1 4.877 * [taylor]: Taking taylor expansion of 1 in y 4.877 * [backup-simplify]: Simplify 1 into 1 4.877 * [backup-simplify]: Simplify 1 into 1 4.878 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.878 * [backup-simplify]: Simplify 2 into 2 4.878 * [backup-simplify]: Simplify (* 1 1) into 1 4.878 * [backup-simplify]: Simplify 1 into 1 4.879 * [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)))) 4.879 * [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))))) 4.879 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 4.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.880 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.880 * [taylor]: Taking taylor expansion of x in y 4.880 * [backup-simplify]: Simplify x into x 4.880 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.880 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.880 * [taylor]: Taking taylor expansion of y in y 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify 1 into 1 4.881 * [backup-simplify]: Simplify (* 1 1) into 1 4.881 * [backup-simplify]: Simplify (/ 1 1) into 1 4.881 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.881 * [taylor]: Taking taylor expansion of 2 in y 4.881 * [backup-simplify]: Simplify 2 into 2 4.881 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.881 * [taylor]: Taking taylor expansion of (* x y) in y 4.881 * [taylor]: Taking taylor expansion of x in y 4.881 * [backup-simplify]: Simplify x into x 4.881 * [taylor]: Taking taylor expansion of y in y 4.881 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify 1 into 1 4.881 * [backup-simplify]: Simplify (* x 0) into 0 4.882 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.882 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.882 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.882 * [taylor]: Taking taylor expansion of x in x 4.882 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify 1 into 1 4.882 * [backup-simplify]: Simplify (* 1 1) into 1 4.883 * [backup-simplify]: Simplify (/ 1 1) into 1 4.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.883 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.883 * [taylor]: Taking taylor expansion of y in x 4.883 * [backup-simplify]: Simplify y into y 4.883 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.883 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.883 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.883 * [taylor]: Taking taylor expansion of 2 in x 4.883 * [backup-simplify]: Simplify 2 into 2 4.883 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.883 * [taylor]: Taking taylor expansion of (* x y) in x 4.883 * [taylor]: Taking taylor expansion of x in x 4.883 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify 1 into 1 4.884 * [taylor]: Taking taylor expansion of y in x 4.884 * [backup-simplify]: Simplify y into y 4.884 * [backup-simplify]: Simplify (* 0 y) into 0 4.884 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.884 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.884 * [taylor]: Taking taylor expansion of x in x 4.884 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify 1 into 1 4.885 * [backup-simplify]: Simplify (* 1 1) into 1 4.885 * [backup-simplify]: Simplify (/ 1 1) into 1 4.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.885 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.885 * [taylor]: Taking taylor expansion of y in x 4.885 * [backup-simplify]: Simplify y into y 4.885 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.886 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.886 * [taylor]: Taking taylor expansion of 2 in x 4.886 * [backup-simplify]: Simplify 2 into 2 4.886 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.886 * [taylor]: Taking taylor expansion of (* x y) in x 4.886 * [taylor]: Taking taylor expansion of x in x 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.886 * [taylor]: Taking taylor expansion of y in x 4.886 * [backup-simplify]: Simplify y into y 4.886 * [backup-simplify]: Simplify (* 0 y) into 0 4.886 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.887 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.887 * [backup-simplify]: Simplify (+ 1 0) into 1 4.887 * [taylor]: Taking taylor expansion of 1 in y 4.887 * [backup-simplify]: Simplify 1 into 1 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.889 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.889 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.889 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 4.889 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.889 * [taylor]: Taking taylor expansion of 2 in y 4.889 * [backup-simplify]: Simplify 2 into 2 4.889 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.889 * [taylor]: Taking taylor expansion of y in y 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 1 into 1 4.890 * [backup-simplify]: Simplify (/ 1 1) into 1 4.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.893 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.893 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.894 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.894 * [taylor]: Taking taylor expansion of y in y 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 1 into 1 4.894 * [backup-simplify]: Simplify (* 1 1) into 1 4.895 * [backup-simplify]: Simplify (/ 1 1) into 1 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (* 2 1) into 2 4.895 * [backup-simplify]: Simplify 2 into 2 4.895 * [backup-simplify]: Simplify 1 into 1 4.896 * [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)))) 4.896 * [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))))) 4.897 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 4.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 4.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.897 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.897 * [taylor]: Taking taylor expansion of x in y 4.897 * [backup-simplify]: Simplify x into x 4.897 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.897 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.897 * [taylor]: Taking taylor expansion of y in y 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (* 1 1) into 1 4.898 * [backup-simplify]: Simplify (/ 1 1) into 1 4.898 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.898 * [taylor]: Taking taylor expansion of 2 in y 4.898 * [backup-simplify]: Simplify 2 into 2 4.898 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.898 * [taylor]: Taking taylor expansion of (* x y) in y 4.898 * [taylor]: Taking taylor expansion of x in y 4.898 * [backup-simplify]: Simplify x into x 4.898 * [taylor]: Taking taylor expansion of y in y 4.898 * [backup-simplify]: Simplify 0 into 0 4.898 * [backup-simplify]: Simplify 1 into 1 4.898 * [backup-simplify]: Simplify (* x 0) into 0 4.899 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.899 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.899 * [taylor]: Taking taylor expansion of x in x 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.900 * [backup-simplify]: Simplify (* 1 1) into 1 4.900 * [backup-simplify]: Simplify (/ 1 1) into 1 4.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.900 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.900 * [taylor]: Taking taylor expansion of y in x 4.900 * [backup-simplify]: Simplify y into y 4.900 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.900 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.901 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.901 * [taylor]: Taking taylor expansion of 2 in x 4.901 * [backup-simplify]: Simplify 2 into 2 4.901 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.901 * [taylor]: Taking taylor expansion of (* x y) in x 4.901 * [taylor]: Taking taylor expansion of x in x 4.901 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify 1 into 1 4.901 * [taylor]: Taking taylor expansion of y in x 4.901 * [backup-simplify]: Simplify y into y 4.901 * [backup-simplify]: Simplify (* 0 y) into 0 4.901 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.901 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 4.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.902 * [taylor]: Taking taylor expansion of x in x 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (* 1 1) into 1 4.902 * [backup-simplify]: Simplify (/ 1 1) into 1 4.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.902 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.902 * [taylor]: Taking taylor expansion of y in x 4.903 * [backup-simplify]: Simplify y into y 4.903 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.903 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.903 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.903 * [taylor]: Taking taylor expansion of 2 in x 4.903 * [backup-simplify]: Simplify 2 into 2 4.903 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.903 * [taylor]: Taking taylor expansion of (* x y) in x 4.903 * [taylor]: Taking taylor expansion of x in x 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 1 into 1 4.903 * [taylor]: Taking taylor expansion of y in x 4.903 * [backup-simplify]: Simplify y into y 4.903 * [backup-simplify]: Simplify (* 0 y) into 0 4.904 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.904 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.904 * [backup-simplify]: Simplify (+ 1 0) into 1 4.904 * [taylor]: Taking taylor expansion of 1 in y 4.904 * [backup-simplify]: Simplify 1 into 1 4.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.906 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.906 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 4.906 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.906 * [taylor]: Taking taylor expansion of 2 in y 4.906 * [backup-simplify]: Simplify 2 into 2 4.906 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.906 * [taylor]: Taking taylor expansion of y in y 4.906 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify 1 into 1 4.907 * [backup-simplify]: Simplify (/ 1 1) into 1 4.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.909 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.909 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.910 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.910 * [taylor]: Taking taylor expansion of y in y 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify 1 into 1 4.910 * [backup-simplify]: Simplify (* 1 1) into 1 4.910 * [backup-simplify]: Simplify (/ 1 1) into 1 4.910 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (* 2 1) into 2 4.911 * [backup-simplify]: Simplify 2 into 2 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [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)))) 4.911 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 4.912 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 4.912 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 4.912 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 4.912 * [taylor]: Taking taylor expansion of x in y 4.912 * [backup-simplify]: Simplify x into x 4.912 * [taylor]: Taking taylor expansion of (+ x y) in y 4.912 * [taylor]: Taking taylor expansion of x in y 4.912 * [backup-simplify]: Simplify x into x 4.912 * [taylor]: Taking taylor expansion of y in y 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 4.912 * [taylor]: Taking taylor expansion of x in x 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [taylor]: Taking taylor expansion of (+ x y) in x 4.912 * [taylor]: Taking taylor expansion of x in x 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [taylor]: Taking taylor expansion of y in x 4.912 * [backup-simplify]: Simplify y into y 4.912 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 4.912 * [taylor]: Taking taylor expansion of x in x 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [taylor]: Taking taylor expansion of (+ x y) in x 4.912 * [taylor]: Taking taylor expansion of x in x 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [taylor]: Taking taylor expansion of y in x 4.912 * [backup-simplify]: Simplify y into y 4.912 * [backup-simplify]: Simplify (+ 0 y) into y 4.912 * [backup-simplify]: Simplify (* 0 y) into 0 4.912 * [taylor]: Taking taylor expansion of 0 in y 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify (+ 1 0) into 1 4.913 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 4.913 * [taylor]: Taking taylor expansion of y in y 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 1 into 1 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify (+ 0 0) into 0 4.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 4.914 * [taylor]: Taking taylor expansion of 1 in y 4.914 * [backup-simplify]: Simplify 1 into 1 4.914 * [backup-simplify]: Simplify 1 into 1 4.914 * [backup-simplify]: Simplify 1 into 1 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify (+ 0 0) into 0 4.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 4.915 * [taylor]: Taking taylor expansion of 0 in y 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify (+ 0 0) into 0 4.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 4.917 * [taylor]: Taking taylor expansion of 0 in y 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 4.917 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 4.917 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 4.917 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 4.917 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.917 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.917 * [taylor]: Taking taylor expansion of y in y 4.917 * [backup-simplify]: Simplify 0 into 0 4.918 * [backup-simplify]: Simplify 1 into 1 4.918 * [backup-simplify]: Simplify (/ 1 1) into 1 4.918 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.918 * [taylor]: Taking taylor expansion of x in y 4.918 * [backup-simplify]: Simplify x into x 4.918 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.918 * [taylor]: Taking taylor expansion of x in y 4.918 * [backup-simplify]: Simplify x into x 4.918 * [backup-simplify]: Simplify (+ 1 0) into 1 4.918 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.918 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 4.918 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.918 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.918 * [taylor]: Taking taylor expansion of y in x 4.918 * [backup-simplify]: Simplify y into y 4.918 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.918 * [taylor]: Taking taylor expansion of x in x 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 1 into 1 4.919 * [backup-simplify]: Simplify (/ 1 1) into 1 4.919 * [taylor]: Taking taylor expansion of x in x 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 1 into 1 4.919 * [backup-simplify]: Simplify (+ 0 1) into 1 4.919 * [backup-simplify]: Simplify (/ 1 1) into 1 4.919 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 4.919 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.919 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.919 * [taylor]: Taking taylor expansion of y in x 4.919 * [backup-simplify]: Simplify y into y 4.920 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.920 * [taylor]: Taking taylor expansion of x in x 4.920 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify 1 into 1 4.920 * [backup-simplify]: Simplify (/ 1 1) into 1 4.920 * [taylor]: Taking taylor expansion of x in x 4.920 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify 1 into 1 4.920 * [backup-simplify]: Simplify (+ 0 1) into 1 4.920 * [backup-simplify]: Simplify (/ 1 1) into 1 4.921 * [taylor]: Taking taylor expansion of 1 in y 4.921 * [backup-simplify]: Simplify 1 into 1 4.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.921 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.922 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 4.922 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.922 * [taylor]: Taking taylor expansion of y in y 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (/ 1 1) into 1 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.923 * [backup-simplify]: Simplify (+ 0 0) into 0 4.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 4.924 * [taylor]: Taking taylor expansion of 0 in y 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (+ 0 0) into 0 4.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.927 * [taylor]: Taking taylor expansion of 0 in y 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.928 * [backup-simplify]: Simplify (+ 0 0) into 0 4.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.933 * [taylor]: Taking taylor expansion of 0 in y 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 4.934 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 4.934 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 4.934 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 4.934 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 4.934 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.934 * [taylor]: Taking taylor expansion of y in y 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.935 * [backup-simplify]: Simplify (/ 1 1) into 1 4.935 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.935 * [taylor]: Taking taylor expansion of x in y 4.935 * [backup-simplify]: Simplify x into x 4.935 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.935 * [taylor]: Taking taylor expansion of x in y 4.935 * [backup-simplify]: Simplify x into x 4.935 * [backup-simplify]: Simplify (+ 1 0) into 1 4.935 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.935 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 4.935 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.935 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.935 * [taylor]: Taking taylor expansion of y in x 4.935 * [backup-simplify]: Simplify y into y 4.935 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.935 * [taylor]: Taking taylor expansion of x in x 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (/ 1 1) into 1 4.936 * [taylor]: Taking taylor expansion of x in x 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (+ 0 1) into 1 4.936 * [backup-simplify]: Simplify (/ 1 1) into 1 4.936 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 4.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 4.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.936 * [taylor]: Taking taylor expansion of y in x 4.936 * [backup-simplify]: Simplify y into y 4.936 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.937 * [taylor]: Taking taylor expansion of x in x 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (/ 1 1) into 1 4.937 * [taylor]: Taking taylor expansion of x in x 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (+ 0 1) into 1 4.937 * [backup-simplify]: Simplify (/ 1 1) into 1 4.938 * [taylor]: Taking taylor expansion of 1 in y 4.938 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.938 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 4.939 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 4.939 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.939 * [taylor]: Taking taylor expansion of y in y 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 1 into 1 4.939 * [backup-simplify]: Simplify (/ 1 1) into 1 4.939 * [backup-simplify]: Simplify 1 into 1 4.939 * [backup-simplify]: Simplify 1 into 1 4.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (+ 0 0) into 0 4.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 4.941 * [taylor]: Taking taylor expansion of 0 in y 4.941 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.943 * [backup-simplify]: Simplify (+ 0 0) into 0 4.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.944 * [taylor]: Taking taylor expansion of 0 in y 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.946 * [backup-simplify]: Simplify (+ 0 0) into 0 4.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.947 * [taylor]: Taking taylor expansion of 0 in y 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 4.948 * * * [progress]: simplifying candidates 4.949 * [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)) 4.950 * * [simplify]: Extracting # 0 : cost 0 4.950 * * [simplify]: Extracting # 1 : cost 0 4.951 * * [simplify]: Extracting # 2 : cost 0 4.951 * * [simplify]: Extracting # 3 : cost 0 4.951 * * [simplify]: Extracting # 4 : cost 0 4.951 * * [simplify]: Extracting # 5 : cost 0 4.951 * * [simplify]: Extracting # 6 : cost 0 4.951 * * [simplify]: iteration 0 : 112 enodes (cost 875 ) 4.981 * * [simplify]: Extracting # 0 : cost 0 4.982 * * [simplify]: Extracting # 1 : cost 0 4.982 * * [simplify]: Extracting # 2 : cost 0 4.983 * * [simplify]: Extracting # 3 : cost 0 4.983 * * [simplify]: Extracting # 4 : cost 0 4.983 * * [simplify]: Extracting # 5 : cost 0 4.984 * * [simplify]: iteration 1 : 311 enodes (cost 745 ) 5.216 * * [simplify]: Extracting # 0 : cost 0 5.219 * * [simplify]: Extracting # 1 : cost 0 5.222 * * [simplify]: Extracting # 2 : cost 0 5.224 * * [simplify]: Extracting # 3 : cost 0 5.227 * * [simplify]: Extracting # 4 : cost 0 5.230 * * [simplify]: iteration 2 : 1205 enodes (cost 663 ) 6.463 * * [simplify]: Extracting # 0 : cost 0 6.472 * * [simplify]: Extracting # 1 : cost 0 6.482 * * [simplify]: Extracting # 2 : cost 0 6.499 * * [simplify]: Extracting # 3 : cost 0 6.509 * * [simplify]: Extracting # 4 : cost 0 6.518 * * [simplify]: iteration done: 5000 enodes (cost 637 ) 6.519 * [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) 6.520 * * * [progress]: adding candidates to table 6.723 * * [progress]: iteration 3 / 4 6.723 * * * [progress]: picking best candidate 6.725 * * * * [pick]: Picked # 6.725 * * * [progress]: localizing error 6.737 * * * [progress]: generating rewritten candidates 6.737 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.738 * * * [progress]: generating series expansions 6.738 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.738 * [backup-simplify]: Simplify (fma y (fma x 2 y) (* x x)) into (fma y (fma x 2 y) (pow x 2)) 6.738 * [approximate]: Taking taylor expansion of (fma y (fma x 2 y) (pow x 2)) in (y x) around 0 6.738 * [taylor]: Taking taylor expansion of (fma y (fma x 2 y) (pow x 2)) in x 6.738 * [taylor]: Rewrote expression to (+ (* y (fma x 2 y)) (pow x 2)) 6.738 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 6.738 * [taylor]: Taking taylor expansion of y in x 6.738 * [backup-simplify]: Simplify y into y 6.738 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 6.738 * [taylor]: Rewrote expression to (+ (* x 2) y) 6.738 * [taylor]: Taking taylor expansion of (* x 2) in x 6.738 * [taylor]: Taking taylor expansion of x in x 6.738 * [backup-simplify]: Simplify 0 into 0 6.738 * [backup-simplify]: Simplify 1 into 1 6.738 * [taylor]: Taking taylor expansion of 2 in x 6.738 * [backup-simplify]: Simplify 2 into 2 6.738 * [taylor]: Taking taylor expansion of y in x 6.738 * [backup-simplify]: Simplify y into y 6.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.739 * [taylor]: Taking taylor expansion of x in x 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [taylor]: Taking taylor expansion of (fma y (fma x 2 y) (pow x 2)) in y 6.739 * [taylor]: Rewrote expression to (+ (* y (fma x 2 y)) (pow x 2)) 6.739 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 6.739 * [taylor]: Taking taylor expansion of y in y 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 6.739 * [taylor]: Rewrote expression to (+ (* x 2) y) 6.739 * [taylor]: Taking taylor expansion of (* x 2) in y 6.739 * [taylor]: Taking taylor expansion of x in y 6.739 * [backup-simplify]: Simplify x into x 6.739 * [taylor]: Taking taylor expansion of 2 in y 6.739 * [backup-simplify]: Simplify 2 into 2 6.739 * [taylor]: Taking taylor expansion of y in y 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.739 * [taylor]: Taking taylor expansion of x in y 6.739 * [backup-simplify]: Simplify x into x 6.739 * [taylor]: Taking taylor expansion of (fma y (fma x 2 y) (pow x 2)) in y 6.739 * [taylor]: Rewrote expression to (+ (* y (fma x 2 y)) (pow x 2)) 6.739 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 6.739 * [taylor]: Taking taylor expansion of y in y 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 6.739 * [taylor]: Rewrote expression to (+ (* x 2) y) 6.739 * [taylor]: Taking taylor expansion of (* x 2) in y 6.739 * [taylor]: Taking taylor expansion of x in y 6.739 * [backup-simplify]: Simplify x into x 6.739 * [taylor]: Taking taylor expansion of 2 in y 6.739 * [backup-simplify]: Simplify 2 into 2 6.739 * [taylor]: Taking taylor expansion of y in y 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.740 * [taylor]: Taking taylor expansion of x in y 6.740 * [backup-simplify]: Simplify x into x 6.740 * [backup-simplify]: Simplify (* x 2) into (* 2 x) 6.740 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 6.740 * [backup-simplify]: Simplify (* 0 (* 2 x)) into 0 6.740 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.740 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.740 * [taylor]: Taking taylor expansion of x in x 6.740 * [backup-simplify]: Simplify 0 into 0 6.740 * [backup-simplify]: Simplify 1 into 1 6.741 * [backup-simplify]: Simplify (+ (* x 0) (* 0 2)) into 0 6.741 * [backup-simplify]: Simplify (+ 0 1) into 1 6.741 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 x))) into (* 2 x) 6.742 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.742 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 6.742 * [taylor]: Taking taylor expansion of (* 2 x) in x 6.742 * [taylor]: Taking taylor expansion of 2 in x 6.742 * [backup-simplify]: Simplify 2 into 2 6.742 * [taylor]: Taking taylor expansion of x in x 6.742 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify 1 into 1 6.742 * [backup-simplify]: Simplify (* 2 0) into 0 6.742 * [backup-simplify]: Simplify 0 into 0 6.743 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 2))) into 0 6.743 * [backup-simplify]: Simplify (+ 0 0) into 0 6.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 x)))) into 1 6.744 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.744 * [backup-simplify]: Simplify (+ 1 0) into 1 6.744 * [taylor]: Taking taylor expansion of 1 in x 6.744 * [backup-simplify]: Simplify 1 into 1 6.744 * [backup-simplify]: Simplify 1 into 1 6.745 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 6.745 * [backup-simplify]: Simplify 2 into 2 6.745 * [backup-simplify]: Simplify (* 1 1) into 1 6.745 * [backup-simplify]: Simplify 1 into 1 6.745 * [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)))) 6.746 * [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))) 6.746 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) in (y x) around 0 6.746 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) in x 6.746 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) (/ 1 (pow x 2))) 6.746 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) in x 6.746 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.746 * [taylor]: Taking taylor expansion of y in x 6.746 * [backup-simplify]: Simplify y into y 6.746 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.746 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 6.746 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 6.746 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 6.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.746 * [taylor]: Taking taylor expansion of x in x 6.746 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify 1 into 1 6.746 * [backup-simplify]: Simplify (/ 1 1) into 1 6.746 * [taylor]: Taking taylor expansion of 2 in x 6.747 * [backup-simplify]: Simplify 2 into 2 6.747 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.747 * [taylor]: Taking taylor expansion of y in x 6.747 * [backup-simplify]: Simplify y into y 6.747 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.747 * [taylor]: Taking taylor expansion of x in x 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 1 into 1 6.747 * [backup-simplify]: Simplify (* 1 1) into 1 6.747 * [backup-simplify]: Simplify (/ 1 1) into 1 6.747 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) in y 6.747 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) (/ 1 (pow x 2))) 6.748 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) in y 6.748 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.748 * [taylor]: Taking taylor expansion of y in y 6.748 * [backup-simplify]: Simplify 0 into 0 6.748 * [backup-simplify]: Simplify 1 into 1 6.748 * [backup-simplify]: Simplify (/ 1 1) into 1 6.748 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 6.748 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 6.748 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 6.748 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.748 * [taylor]: Taking taylor expansion of x in y 6.748 * [backup-simplify]: Simplify x into x 6.748 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.748 * [taylor]: Taking taylor expansion of 2 in y 6.748 * [backup-simplify]: Simplify 2 into 2 6.748 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.748 * [taylor]: Taking taylor expansion of y in y 6.748 * [backup-simplify]: Simplify 0 into 0 6.748 * [backup-simplify]: Simplify 1 into 1 6.749 * [backup-simplify]: Simplify (/ 1 1) into 1 6.749 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.749 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.749 * [taylor]: Taking taylor expansion of x in y 6.749 * [backup-simplify]: Simplify x into x 6.749 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.749 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.749 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) in y 6.749 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) (/ 1 (pow x 2))) 6.749 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) in y 6.749 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.749 * [taylor]: Taking taylor expansion of y in y 6.749 * [backup-simplify]: Simplify 0 into 0 6.749 * [backup-simplify]: Simplify 1 into 1 6.749 * [backup-simplify]: Simplify (/ 1 1) into 1 6.749 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 6.749 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 6.749 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 6.750 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.750 * [taylor]: Taking taylor expansion of x in y 6.750 * [backup-simplify]: Simplify x into x 6.750 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.750 * [taylor]: Taking taylor expansion of 2 in y 6.750 * [backup-simplify]: Simplify 2 into 2 6.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.750 * [taylor]: Taking taylor expansion of y in y 6.750 * [backup-simplify]: Simplify 0 into 0 6.750 * [backup-simplify]: Simplify 1 into 1 6.750 * [backup-simplify]: Simplify (/ 1 1) into 1 6.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.750 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.750 * [taylor]: Taking taylor expansion of x in y 6.750 * [backup-simplify]: Simplify x into x 6.750 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.750 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.751 * [backup-simplify]: Simplify (+ 0 1) into 1 6.751 * [backup-simplify]: Simplify (* 1 1) into 1 6.751 * [backup-simplify]: Simplify (+ 1 0) into 1 6.751 * [taylor]: Taking taylor expansion of 1 in x 6.751 * [backup-simplify]: Simplify 1 into 1 6.751 * [backup-simplify]: Simplify (* (/ 1 x) 2) into (/ 2 x) 6.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.752 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x)) 6.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.753 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 x))) (* 0 1)) into (* 2 (/ 1 x)) 6.753 * [backup-simplify]: Simplify (+ (* 2 (/ 1 x)) 0) into (* 2 (/ 1 x)) 6.753 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.753 * [taylor]: Taking taylor expansion of 2 in x 6.753 * [backup-simplify]: Simplify 2 into 2 6.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.753 * [taylor]: Taking taylor expansion of x in x 6.753 * [backup-simplify]: Simplify 0 into 0 6.753 * [backup-simplify]: Simplify 1 into 1 6.754 * [backup-simplify]: Simplify (/ 1 1) into 1 6.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.754 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 2)) into 0 6.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.755 * [backup-simplify]: Simplify (+ 0 0) into 0 6.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 x))) (* 0 1))) into 0 6.756 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.756 * [taylor]: Taking taylor expansion of x in x 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify 1 into 1 6.757 * [backup-simplify]: Simplify (* 1 1) into 1 6.757 * [backup-simplify]: Simplify (/ 1 1) into 1 6.757 * [backup-simplify]: Simplify 1 into 1 6.757 * [backup-simplify]: Simplify (* 2 1) into 2 6.757 * [backup-simplify]: Simplify 2 into 2 6.757 * [backup-simplify]: Simplify 1 into 1 6.758 * [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)))) 6.758 * [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))) 6.758 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) in (y x) around 0 6.758 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) in x 6.758 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) (/ 1 (pow x 2))) 6.759 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) in x 6.759 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.759 * [taylor]: Taking taylor expansion of -1 in x 6.759 * [backup-simplify]: Simplify -1 into -1 6.759 * [taylor]: Taking taylor expansion of y in x 6.759 * [backup-simplify]: Simplify y into y 6.759 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 6.759 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 6.759 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 6.759 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 6.759 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.759 * [taylor]: Taking taylor expansion of -1 in x 6.759 * [backup-simplify]: Simplify -1 into -1 6.759 * [taylor]: Taking taylor expansion of x in x 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [backup-simplify]: Simplify 1 into 1 6.760 * [backup-simplify]: Simplify (/ -1 1) into -1 6.760 * [taylor]: Taking taylor expansion of 2 in x 6.760 * [backup-simplify]: Simplify 2 into 2 6.760 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.760 * [taylor]: Taking taylor expansion of -1 in x 6.760 * [backup-simplify]: Simplify -1 into -1 6.760 * [taylor]: Taking taylor expansion of y in x 6.760 * [backup-simplify]: Simplify y into y 6.760 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 6.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.760 * [taylor]: Taking taylor expansion of x in x 6.760 * [backup-simplify]: Simplify 0 into 0 6.760 * [backup-simplify]: Simplify 1 into 1 6.760 * [backup-simplify]: Simplify (* 1 1) into 1 6.761 * [backup-simplify]: Simplify (/ 1 1) into 1 6.761 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) in y 6.761 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) (/ 1 (pow x 2))) 6.761 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) in y 6.761 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.761 * [taylor]: Taking taylor expansion of -1 in y 6.761 * [backup-simplify]: Simplify -1 into -1 6.761 * [taylor]: Taking taylor expansion of y in y 6.761 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify 1 into 1 6.761 * [backup-simplify]: Simplify (/ -1 1) into -1 6.761 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 6.761 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 6.761 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 6.761 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.761 * [taylor]: Taking taylor expansion of -1 in y 6.761 * [backup-simplify]: Simplify -1 into -1 6.761 * [taylor]: Taking taylor expansion of x in y 6.761 * [backup-simplify]: Simplify x into x 6.761 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.761 * [taylor]: Taking taylor expansion of 2 in y 6.761 * [backup-simplify]: Simplify 2 into 2 6.761 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.762 * [taylor]: Taking taylor expansion of -1 in y 6.762 * [backup-simplify]: Simplify -1 into -1 6.762 * [taylor]: Taking taylor expansion of y in y 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify 1 into 1 6.762 * [backup-simplify]: Simplify (/ -1 1) into -1 6.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.762 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.762 * [taylor]: Taking taylor expansion of x in y 6.762 * [backup-simplify]: Simplify x into x 6.762 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.762 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.762 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) in y 6.762 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) (/ 1 (pow x 2))) 6.762 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) in y 6.762 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.762 * [taylor]: Taking taylor expansion of -1 in y 6.762 * [backup-simplify]: Simplify -1 into -1 6.762 * [taylor]: Taking taylor expansion of y in y 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify 1 into 1 6.763 * [backup-simplify]: Simplify (/ -1 1) into -1 6.763 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 6.763 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 6.763 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 6.763 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.763 * [taylor]: Taking taylor expansion of -1 in y 6.763 * [backup-simplify]: Simplify -1 into -1 6.763 * [taylor]: Taking taylor expansion of x in y 6.763 * [backup-simplify]: Simplify x into x 6.763 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.763 * [taylor]: Taking taylor expansion of 2 in y 6.763 * [backup-simplify]: Simplify 2 into 2 6.763 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.763 * [taylor]: Taking taylor expansion of -1 in y 6.763 * [backup-simplify]: Simplify -1 into -1 6.763 * [taylor]: Taking taylor expansion of y in y 6.763 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify 1 into 1 6.764 * [backup-simplify]: Simplify (/ -1 1) into -1 6.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.764 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.764 * [taylor]: Taking taylor expansion of x in y 6.764 * [backup-simplify]: Simplify x into x 6.764 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.764 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.764 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.764 * [backup-simplify]: Simplify (* -1 -1) into 1 6.765 * [backup-simplify]: Simplify (+ 1 0) into 1 6.765 * [taylor]: Taking taylor expansion of 1 in x 6.765 * [backup-simplify]: Simplify 1 into 1 6.765 * [backup-simplify]: Simplify (* (/ -1 x) 2) into (/ -2 x) 6.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.766 * [backup-simplify]: Simplify (+ (/ -2 x) 0) into (- (* 2 (/ 1 x))) 6.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.767 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 x)))) (* 0 -1)) into (* 2 (/ 1 x)) 6.767 * [backup-simplify]: Simplify (+ (* 2 (/ 1 x)) 0) into (* 2 (/ 1 x)) 6.767 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 6.767 * [taylor]: Taking taylor expansion of 2 in x 6.767 * [backup-simplify]: Simplify 2 into 2 6.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.768 * [taylor]: Taking taylor expansion of x in x 6.768 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify 1 into 1 6.768 * [backup-simplify]: Simplify (/ 1 1) into 1 6.768 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 6.769 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 2)) into 0 6.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.770 * [backup-simplify]: Simplify (+ 0 0) into 0 6.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.771 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1))) into 0 6.771 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.771 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.771 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.771 * [taylor]: Taking taylor expansion of x in x 6.771 * [backup-simplify]: Simplify 0 into 0 6.771 * [backup-simplify]: Simplify 1 into 1 6.772 * [backup-simplify]: Simplify (* 1 1) into 1 6.772 * [backup-simplify]: Simplify (/ 1 1) into 1 6.772 * [backup-simplify]: Simplify 1 into 1 6.772 * [backup-simplify]: Simplify (* 2 1) into 2 6.772 * [backup-simplify]: Simplify 2 into 2 6.772 * [backup-simplify]: Simplify 1 into 1 6.773 * [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)))) 6.773 * * * [progress]: simplifying candidates 6.773 * [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)))) 6.774 * * [simplify]: Extracting # 0 : cost 0 6.774 * * [simplify]: Extracting # 1 : cost 0 6.774 * * [simplify]: Extracting # 2 : cost 0 6.774 * * [simplify]: Extracting # 3 : cost 0 6.774 * * [simplify]: Extracting # 4 : cost 0 6.774 * * [simplify]: Extracting # 5 : cost 0 6.774 * * [simplify]: Extracting # 6 : cost 0 6.774 * * [simplify]: iteration 0 : 22 enodes (cost 165 ) 6.779 * * [simplify]: Extracting # 0 : cost 0 6.779 * * [simplify]: Extracting # 1 : cost 0 6.779 * * [simplify]: Extracting # 2 : cost 0 6.779 * * [simplify]: Extracting # 3 : cost 0 6.779 * * [simplify]: Extracting # 4 : cost 0 6.779 * * [simplify]: iteration 1 : 42 enodes (cost 165 ) 6.795 * * [simplify]: Extracting # 0 : cost 0 6.795 * * [simplify]: Extracting # 1 : cost 0 6.795 * * [simplify]: Extracting # 2 : cost 0 6.795 * * [simplify]: Extracting # 3 : cost 0 6.796 * * [simplify]: iteration 2 : 100 enodes (cost 135 ) 6.837 * * [simplify]: Extracting # 0 : cost 0 6.838 * * [simplify]: Extracting # 1 : cost 0 6.838 * * [simplify]: Extracting # 2 : cost 0 6.839 * * [simplify]: Extracting # 3 : cost 0 6.839 * * [simplify]: Extracting # 4 : cost 0 6.840 * * [simplify]: iteration 3 : 323 enodes (cost 135 ) 7.206 * * [simplify]: Extracting # 0 : cost 0 7.208 * * [simplify]: Extracting # 1 : cost 0 7.210 * * [simplify]: Extracting # 2 : cost 0 7.212 * * [simplify]: Extracting # 3 : cost 0 7.214 * * [simplify]: Extracting # 4 : cost 0 7.216 * * [simplify]: iteration 4 : 1691 enodes (cost 135 ) 8.106 * * [simplify]: Extracting # 0 : cost 0 8.115 * * [simplify]: Extracting # 1 : cost 0 8.133 * * [simplify]: Extracting # 2 : cost 0 8.144 * * [simplify]: Extracting # 3 : cost 0 8.155 * * [simplify]: Extracting # 4 : cost 0 8.162 * * [simplify]: iteration done: 5001 enodes (cost 135 ) 8.162 * [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)) 8.162 * * * [progress]: adding candidates to table 8.207 * [progress]: [Phase 3 of 3] Extracting. 8.207 * * [regime]: Finding splitpoints for: (# #) 8.207 * * * [regime-changes]: Trying 2 branch expressions: (y x) 8.208 * * * * [regimes]: Trying to branch on y from (# #) 8.220 * * * * [regimes]: Trying to branch on x from (# #) 8.240 * * * [regime]: Found split indices: #