43.423 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: Extracting # 1 : cost 0 0.036 * * [simplify]: Extracting # 2 : cost 0 0.036 * * [simplify]: Extracting # 3 : cost 0 0.036 * * [simplify]: Extracting # 4 : cost 0 0.036 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: Extracting # 1 : cost 0 0.037 * * [simplify]: Extracting # 2 : cost 0 0.037 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: Extracting # 1 : cost 0 0.041 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: iteration 2 : 27 enodes (cost 7 ) 0.051 * * [simplify]: Extracting # 0 : cost 0 0.051 * * [simplify]: Extracting # 1 : cost 0 0.051 * * [simplify]: Extracting # 2 : cost 0 0.051 * * [simplify]: iteration 3 : 65 enodes (cost 7 ) 0.071 * * [simplify]: Extracting # 0 : cost 0 0.072 * * [simplify]: Extracting # 1 : cost 0 0.072 * * [simplify]: Extracting # 2 : cost 0 0.072 * * [simplify]: Extracting # 3 : cost 0 0.072 * * [simplify]: iteration 4 : 150 enodes (cost 7 ) 0.120 * * [simplify]: Extracting # 0 : cost 0 0.120 * * [simplify]: Extracting # 1 : cost 0 0.120 * * [simplify]: Extracting # 2 : cost 0 0.120 * * [simplify]: iteration 5 : 273 enodes (cost 7 ) 0.165 * * [simplify]: Extracting # 0 : cost 0 0.165 * * [simplify]: Extracting # 1 : cost 0 0.165 * * [simplify]: iteration 6 : 323 enodes (cost 7 ) 0.194 * * [simplify]: Extracting # 0 : cost 0 0.194 * * [simplify]: Extracting # 1 : cost 0 0.195 * * [simplify]: Extracting # 2 : cost 0 0.195 * * [simplify]: iteration 7 : 340 enodes (cost 7 ) 0.227 * * [simplify]: Extracting # 0 : cost 0 0.227 * * [simplify]: iteration 8 : 342 enodes (cost 7 ) 0.274 * * [simplify]: Extracting # 0 : cost 0 0.274 * * [simplify]: iteration done: 342 enodes (cost 7 ) 0.274 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.275 * * [progress]: iteration 1 / 4 0.275 * * * [progress]: picking best candidate 0.277 * * * * [pick]: Picked # 0.277 * * * [progress]: localizing error 0.283 * * * [progress]: generating rewritten candidates 0.283 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.340 * * * [progress]: generating series expansions 0.340 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.340 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.340 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.340 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.340 * [taylor]: Taking taylor expansion of (+ x y) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [backup-simplify]: Simplify x into x 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (+ x 0) into x 0.341 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.341 * [taylor]: Taking taylor expansion of (+ x y) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [backup-simplify]: Simplify y into y 0.341 * [backup-simplify]: Simplify (+ 0 y) into y 0.341 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.341 * [taylor]: Taking taylor expansion of (+ x y) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [backup-simplify]: Simplify y into y 0.341 * [backup-simplify]: Simplify (+ 0 y) into y 0.341 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (+ 1 0) into 1 0.342 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.342 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.342 * [taylor]: Taking taylor expansion of 2 in y 0.342 * [backup-simplify]: Simplify 2 into 2 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 2 0) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.343 * [taylor]: Taking taylor expansion of 1 in y 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.344 * [backup-simplify]: Simplify 2 into 2 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [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)))) 0.345 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.345 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.345 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [backup-simplify]: Simplify x into x 0.346 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.347 * [backup-simplify]: Simplify (+ 1 0) into 1 0.347 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [backup-simplify]: Simplify y into y 0.347 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [backup-simplify]: Simplify (+ 0 1) into 1 0.348 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [backup-simplify]: Simplify y into y 0.348 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [backup-simplify]: Simplify (+ 0 1) into 1 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [taylor]: Taking taylor expansion of 1 in y 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.350 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.350 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.350 * [taylor]: Taking taylor expansion of 2 in y 0.350 * [backup-simplify]: Simplify 2 into 2 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (* 1 1) into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* 2 1) into 2 0.354 * [backup-simplify]: Simplify 2 into 2 0.354 * [backup-simplify]: Simplify 1 into 1 0.355 * [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)))) 0.355 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.355 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (/ 1 1) into 1 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [backup-simplify]: Simplify x into x 0.356 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.356 * [backup-simplify]: Simplify (+ 1 0) into 1 0.356 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [backup-simplify]: Simplify y into y 0.356 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [backup-simplify]: Simplify (+ 0 1) into 1 0.357 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [backup-simplify]: Simplify y into y 0.357 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [backup-simplify]: Simplify (+ 0 1) into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [taylor]: Taking taylor expansion of 1 in y 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.360 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.360 * [taylor]: Taking taylor expansion of 2 in y 0.360 * [backup-simplify]: Simplify 2 into 2 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (* 2 1) into 2 0.364 * [backup-simplify]: Simplify 2 into 2 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [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)))) 0.365 * * * [progress]: simplifying candidates 0.365 * [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)))) 0.367 * * [simplify]: Extracting # 0 : cost 0 0.367 * * [simplify]: Extracting # 1 : cost 0 0.367 * * [simplify]: Extracting # 2 : cost 0 0.367 * * [simplify]: Extracting # 3 : cost 0 0.367 * * [simplify]: Extracting # 4 : cost 0 0.367 * * [simplify]: Extracting # 5 : cost 0 0.367 * * [simplify]: Extracting # 6 : cost 0 0.368 * * [simplify]: iteration 0 : 64 enodes (cost 532 ) 0.394 * * [simplify]: Extracting # 0 : cost 0 0.394 * * [simplify]: Extracting # 1 : cost 0 0.395 * * [simplify]: Extracting # 2 : cost 0 0.395 * * [simplify]: Extracting # 3 : cost 0 0.395 * * [simplify]: Extracting # 4 : cost 0 0.396 * * [simplify]: iteration 1 : 232 enodes (cost 465 ) 0.605 * * [simplify]: Extracting # 0 : cost 0 0.608 * * [simplify]: Extracting # 1 : cost 0 0.610 * * [simplify]: Extracting # 2 : cost 0 0.612 * * [simplify]: Extracting # 3 : cost 0 0.614 * * [simplify]: Extracting # 4 : cost 0 0.616 * * [simplify]: iteration 2 : 1742 enodes (cost 416 ) 1.478 * * [simplify]: Extracting # 0 : cost 0 1.489 * * [simplify]: Extracting # 1 : cost 0 1.496 * * [simplify]: Extracting # 2 : cost 0 1.502 * * [simplify]: Extracting # 3 : cost 0 1.509 * * [simplify]: Extracting # 4 : cost 0 1.516 * * [simplify]: iteration done: 5002 enodes (cost 406 ) 1.516 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (* (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)) (+ (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 x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (cbrt (+ x y)) (+ x y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (* (cbrt (+ x y)) (+ x y)) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (fma x x (* y (fma x 2 y))) (fma x x (* y (fma x 2 y))) (fma x x (* y (fma x 2 y))) 1.516 * * * [progress]: adding candidates to table 1.575 * * [progress]: iteration 2 / 4 1.575 * * * [progress]: picking best candidate 1.577 * * * * [pick]: Picked # 1.577 * * * [progress]: localizing error 1.587 * * * [progress]: generating rewritten candidates 1.587 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 1.595 * * * [progress]: generating series expansions 1.596 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 1.596 * [backup-simplify]: Simplify (* y (fma x 2 y)) into (* y (fma x 2 y)) 1.596 * [approximate]: Taking taylor expansion of (* y (fma x 2 y)) in (y x) around 0 1.596 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 1.596 * [taylor]: Taking taylor expansion of y in x 1.596 * [backup-simplify]: Simplify y into y 1.596 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 1.596 * [taylor]: Rewrote expression to (+ (* x 2) y) 1.596 * [taylor]: Taking taylor expansion of (* x 2) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of 2 in x 1.596 * [backup-simplify]: Simplify 2 into 2 1.596 * [taylor]: Taking taylor expansion of y in x 1.596 * [backup-simplify]: Simplify y into y 1.596 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 1.596 * [taylor]: Taking taylor expansion of y in y 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 1.596 * [taylor]: Rewrote expression to (+ (* x 2) y) 1.596 * [taylor]: Taking taylor expansion of (* x 2) in y 1.596 * [taylor]: Taking taylor expansion of x in y 1.596 * [backup-simplify]: Simplify x into x 1.596 * [taylor]: Taking taylor expansion of 2 in y 1.596 * [backup-simplify]: Simplify 2 into 2 1.596 * [taylor]: Taking taylor expansion of y in y 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 1.596 * [taylor]: Taking taylor expansion of y in y 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 1.596 * [taylor]: Rewrote expression to (+ (* x 2) y) 1.596 * [taylor]: Taking taylor expansion of (* x 2) in y 1.597 * [taylor]: Taking taylor expansion of x in y 1.597 * [backup-simplify]: Simplify x into x 1.597 * [taylor]: Taking taylor expansion of 2 in y 1.597 * [backup-simplify]: Simplify 2 into 2 1.597 * [taylor]: Taking taylor expansion of y in y 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [backup-simplify]: Simplify (* x 2) into (* 2 x) 1.597 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 1.597 * [backup-simplify]: Simplify (* 0 (* 2 x)) into 0 1.597 * [taylor]: Taking taylor expansion of 0 in x 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (+ (* x 0) (* 0 2)) into 0 1.598 * [backup-simplify]: Simplify (+ 0 1) into 1 1.598 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 x))) into (* 2 x) 1.598 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.598 * [taylor]: Taking taylor expansion of 2 in x 1.598 * [backup-simplify]: Simplify 2 into 2 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (* 2 0) into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 2))) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 x)))) into 1 1.600 * [taylor]: Taking taylor expansion of 1 in x 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.600 * [backup-simplify]: Simplify 2 into 2 1.600 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 1.601 * [backup-simplify]: Simplify (+ 0 0) into 0 1.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2 x))))) into 0 1.602 * [taylor]: Taking taylor expansion of 0 in x 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 1.603 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2 x)))))) into 0 1.604 * [taylor]: Taking taylor expansion of 0 in x 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 1.605 * [backup-simplify]: Simplify (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) into (/ (fma (/ 1 x) 2 (/ 1 y)) y) 1.605 * [approximate]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in (y x) around 0 1.605 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in x 1.605 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 1.605 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 1.605 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 1.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.605 * [taylor]: Taking taylor expansion of x in x 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (/ 1 1) into 1 1.605 * [taylor]: Taking taylor expansion of 2 in x 1.605 * [backup-simplify]: Simplify 2 into 2 1.605 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.605 * [taylor]: Taking taylor expansion of y in x 1.605 * [backup-simplify]: Simplify y into y 1.605 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.605 * [taylor]: Taking taylor expansion of y in x 1.605 * [backup-simplify]: Simplify y into y 1.606 * [backup-simplify]: Simplify (* 1 2) into 2 1.606 * [backup-simplify]: Simplify (+ 2 0) into 2 1.606 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 1.606 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in y 1.606 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 1.606 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 1.606 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 1.606 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.606 * [taylor]: Taking taylor expansion of x in y 1.606 * [backup-simplify]: Simplify x into x 1.606 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.606 * [taylor]: Taking taylor expansion of 2 in y 1.606 * [backup-simplify]: Simplify 2 into 2 1.607 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.607 * [taylor]: Taking taylor expansion of y in y 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (/ 1 1) into 1 1.607 * [taylor]: Taking taylor expansion of y in y 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (+ 0 1) into 1 1.608 * [backup-simplify]: Simplify (/ 1 1) into 1 1.608 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in y 1.608 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 1.608 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 1.608 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 1.608 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.608 * [taylor]: Taking taylor expansion of x in y 1.608 * [backup-simplify]: Simplify x into x 1.608 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.608 * [taylor]: Taking taylor expansion of 2 in y 1.608 * [backup-simplify]: Simplify 2 into 2 1.608 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.608 * [taylor]: Taking taylor expansion of y in y 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (/ 1 1) into 1 1.609 * [taylor]: Taking taylor expansion of y in y 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (+ 0 1) into 1 1.610 * [backup-simplify]: Simplify (/ 1 1) into 1 1.610 * [taylor]: Taking taylor expansion of 1 in x 1.610 * [backup-simplify]: Simplify 1 into 1 1.610 * [backup-simplify]: Simplify (* (/ 1 x) 2) into (/ 2 x) 1.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x)) 1.611 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 1.611 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.611 * [taylor]: Taking taylor expansion of 2 in x 1.611 * [backup-simplify]: Simplify 2 into 2 1.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (/ 1 1) into 1 1.611 * [backup-simplify]: Simplify (* 2 1) into 2 1.612 * [backup-simplify]: Simplify 2 into 2 1.612 * [backup-simplify]: Simplify 1 into 1 1.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 2)) into 0 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.613 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 1.614 * [taylor]: Taking taylor expansion of 0 in x 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.615 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 2))) into 0 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (+ 0 0) into 0 1.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.617 * [taylor]: Taking taylor expansion of 0 in x 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.619 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.620 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.621 * [taylor]: Taking taylor expansion of 0 in x 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 1.622 * [backup-simplify]: Simplify (* (/ 1 (- y)) (fma (/ 1 (- x)) 2 (/ 1 (- y)))) into (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) 1.622 * [approximate]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in (y x) around 0 1.622 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in x 1.622 * [taylor]: Taking taylor expansion of -1 in x 1.622 * [backup-simplify]: Simplify -1 into -1 1.622 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in x 1.622 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 1.622 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 1.622 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 1.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.622 * [taylor]: Taking taylor expansion of -1 in x 1.622 * [backup-simplify]: Simplify -1 into -1 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (/ -1 1) into -1 1.622 * [taylor]: Taking taylor expansion of 2 in x 1.622 * [backup-simplify]: Simplify 2 into 2 1.622 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.622 * [taylor]: Taking taylor expansion of -1 in x 1.622 * [backup-simplify]: Simplify -1 into -1 1.622 * [taylor]: Taking taylor expansion of y in x 1.623 * [backup-simplify]: Simplify y into y 1.623 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.623 * [taylor]: Taking taylor expansion of y in x 1.623 * [backup-simplify]: Simplify y into y 1.623 * [backup-simplify]: Simplify (* -1 2) into -2 1.623 * [backup-simplify]: Simplify (+ -2 0) into -2 1.623 * [backup-simplify]: Simplify (/ -2 y) into (/ -2 y) 1.623 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in y 1.623 * [taylor]: Taking taylor expansion of -1 in y 1.623 * [backup-simplify]: Simplify -1 into -1 1.623 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in y 1.623 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 1.623 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 1.623 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 1.623 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.623 * [taylor]: Taking taylor expansion of -1 in y 1.623 * [backup-simplify]: Simplify -1 into -1 1.623 * [taylor]: Taking taylor expansion of x in y 1.623 * [backup-simplify]: Simplify x into x 1.624 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.624 * [taylor]: Taking taylor expansion of 2 in y 1.624 * [backup-simplify]: Simplify 2 into 2 1.624 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.624 * [taylor]: Taking taylor expansion of -1 in y 1.624 * [backup-simplify]: Simplify -1 into -1 1.624 * [taylor]: Taking taylor expansion of y in y 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (/ -1 1) into -1 1.624 * [taylor]: Taking taylor expansion of y in y 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.625 * [backup-simplify]: Simplify (/ -1 1) into -1 1.625 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in y 1.625 * [taylor]: Taking taylor expansion of -1 in y 1.625 * [backup-simplify]: Simplify -1 into -1 1.625 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in y 1.625 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 1.625 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 1.625 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 1.625 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.625 * [taylor]: Taking taylor expansion of -1 in y 1.625 * [backup-simplify]: Simplify -1 into -1 1.625 * [taylor]: Taking taylor expansion of x in y 1.625 * [backup-simplify]: Simplify x into x 1.625 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.625 * [taylor]: Taking taylor expansion of 2 in y 1.625 * [backup-simplify]: Simplify 2 into 2 1.625 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.625 * [taylor]: Taking taylor expansion of -1 in y 1.625 * [backup-simplify]: Simplify -1 into -1 1.625 * [taylor]: Taking taylor expansion of y in y 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (/ -1 1) into -1 1.625 * [taylor]: Taking taylor expansion of y in y 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.626 * [backup-simplify]: Simplify (/ -1 1) into -1 1.626 * [backup-simplify]: Simplify (* -1 -1) into 1 1.627 * [taylor]: Taking taylor expansion of 1 in x 1.627 * [backup-simplify]: Simplify 1 into 1 1.627 * [backup-simplify]: Simplify (* (/ -1 x) 2) into (/ -2 x) 1.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify (+ (/ -2 x) 0) into (- (* 2 (/ 1 x))) 1.628 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 x))) 1) (+ (* -1 (/ 0 1)))) into (- (* 2 (/ 1 x))) 1.628 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 x)))) (* 0 -1)) into (* 2 (/ 1 x)) 1.628 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.628 * [taylor]: Taking taylor expansion of 2 in x 1.628 * [backup-simplify]: Simplify 2 into 2 1.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.628 * [taylor]: Taking taylor expansion of x in x 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (/ 1 1) into 1 1.629 * [backup-simplify]: Simplify (* 2 1) into 2 1.629 * [backup-simplify]: Simplify 2 into 2 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 1.629 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 2)) into 0 1.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.630 * [backup-simplify]: Simplify (+ 0 0) into 0 1.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 x))) (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1))) into 0 1.631 * [taylor]: Taking taylor expansion of 0 in x 1.631 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.633 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 2))) into 0 1.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1)))) into 0 1.636 * [taylor]: Taking taylor expansion of 0 in x 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.638 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 1.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (+ 0 0) into 0 1.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1))))) into 0 1.642 * [taylor]: Taking taylor expansion of 0 in x 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 1.642 * * * [progress]: simplifying candidates 1.643 * [simplify]: Simplifying: (expm1 (* y (fma x 2 y))) (log1p (* y (fma x 2 y))) (* y (fma x 2 y)) (+ (log y) (log (fma x 2 y))) (log (* y (fma x 2 y))) (exp (* y (fma x 2 y))) (* (* (* y y) y) (* (* (fma x 2 y) (fma x 2 y)) (fma x 2 y))) (* (cbrt (* y (fma x 2 y))) (cbrt (* y (fma x 2 y)))) (cbrt (* y (fma x 2 y))) (* (* (* y (fma x 2 y)) (* y (fma x 2 y))) (* y (fma x 2 y))) (sqrt (* y (fma x 2 y))) (sqrt (* y (fma x 2 y))) (* (sqrt y) (sqrt (fma x 2 y))) (* (sqrt y) (sqrt (fma x 2 y))) (* y (* x 2)) (* y y) (* (* x 2) y) (* y y) (* y (* (cbrt (fma x 2 y)) (cbrt (fma x 2 y)))) (* y (sqrt (fma x 2 y))) (* y 1) (* (cbrt y) (fma x 2 y)) (* (sqrt y) (fma x 2 y)) (* y (fma x 2 y)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 1.643 * * [simplify]: Extracting # 0 : cost 0 1.643 * * [simplify]: Extracting # 1 : cost 0 1.643 * * [simplify]: Extracting # 2 : cost 0 1.643 * * [simplify]: Extracting # 3 : cost 0 1.643 * * [simplify]: Extracting # 4 : cost 0 1.643 * * [simplify]: Extracting # 5 : cost 0 1.643 * * [simplify]: Extracting # 6 : cost 0 1.643 * * [simplify]: iteration 0 : 41 enodes (cost 220 ) 1.653 * * [simplify]: Extracting # 0 : cost 0 1.653 * * [simplify]: Extracting # 1 : cost 0 1.653 * * [simplify]: Extracting # 2 : cost 0 1.653 * * [simplify]: iteration 1 : 90 enodes (cost 217 ) 1.698 * * [simplify]: Extracting # 0 : cost 0 1.698 * * [simplify]: Extracting # 1 : cost 0 1.699 * * [simplify]: Extracting # 2 : cost 0 1.699 * * [simplify]: Extracting # 3 : cost 0 1.699 * * [simplify]: Extracting # 4 : cost 0 1.700 * * [simplify]: iteration 2 : 372 enodes (cost 189 ) 2.125 * * [simplify]: Extracting # 0 : cost 0 2.130 * * [simplify]: Extracting # 1 : cost 0 2.136 * * [simplify]: Extracting # 2 : cost 0 2.142 * * [simplify]: Extracting # 3 : cost 0 2.147 * * [simplify]: Extracting # 4 : cost 0 2.153 * * [simplify]: iteration 3 : 2608 enodes (cost 184 ) 3.439 * * [simplify]: Extracting # 0 : cost 0 3.449 * * [simplify]: Extracting # 1 : cost 0 3.456 * * [simplify]: Extracting # 2 : cost 0 3.463 * * [simplify]: Extracting # 3 : cost 0 3.476 * * [simplify]: Extracting # 4 : cost 0 3.483 * * [simplify]: iteration done: 5001 enodes (cost 184 ) 3.483 * [simplify]: Simplified to: (expm1 (* y (fma x 2 y))) (log1p (* y (fma x 2 y))) (* (fma x 2 y) y) (log (* y (fma x 2 y))) (log (* y (fma x 2 y))) (exp (* y (fma x 2 y))) (pow (* y (fma x 2 y)) 3) (* (cbrt (* y (fma x 2 y))) (cbrt (* y (fma x 2 y)))) (cbrt (* y (fma x 2 y))) (pow (* y (fma x 2 y)) 3) (sqrt (* y (fma x 2 y))) (sqrt (* y (fma x 2 y))) (* (sqrt y) (sqrt (fma x 2 y))) (* (sqrt y) (sqrt (fma x 2 y))) (* 2 (* x y)) (* y y) (* (* x 2) y) (* y y) (* y (* (cbrt (fma x 2 y)) (cbrt (fma x 2 y)))) (* y (sqrt (fma x 2 y))) y (* (cbrt y) (fma x 2 y)) (* (sqrt y) (fma x 2 y)) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) 3.483 * * * [progress]: adding candidates to table 3.542 * * [progress]: iteration 3 / 4 3.542 * * * [progress]: picking best candidate 3.545 * * * * [pick]: Picked # 3.545 * * * [progress]: localizing error 3.559 * * * [progress]: generating rewritten candidates 3.559 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3 1) 3.576 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3) 3.605 * * * [progress]: generating series expansions 3.605 * * * * [progress]: [ 1 / 2 ] generating series at (2 3 1) 3.606 * [backup-simplify]: Simplify (* 2 (* x y)) into (* 2 (* x y)) 3.606 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 3.606 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 3.606 * [taylor]: Taking taylor expansion of 2 in y 3.606 * [backup-simplify]: Simplify 2 into 2 3.606 * [taylor]: Taking taylor expansion of (* x y) in y 3.606 * [taylor]: Taking taylor expansion of x in y 3.606 * [backup-simplify]: Simplify x into x 3.606 * [taylor]: Taking taylor expansion of y in y 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.606 * [taylor]: Taking taylor expansion of 2 in x 3.606 * [backup-simplify]: Simplify 2 into 2 3.606 * [taylor]: Taking taylor expansion of (* x y) in x 3.606 * [taylor]: Taking taylor expansion of x in x 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [taylor]: Taking taylor expansion of y in x 3.606 * [backup-simplify]: Simplify y into y 3.606 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.606 * [taylor]: Taking taylor expansion of 2 in x 3.606 * [backup-simplify]: Simplify 2 into 2 3.606 * [taylor]: Taking taylor expansion of (* x y) in x 3.606 * [taylor]: Taking taylor expansion of x in x 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [taylor]: Taking taylor expansion of y in x 3.606 * [backup-simplify]: Simplify y into y 3.606 * [backup-simplify]: Simplify (* 0 y) into 0 3.607 * [backup-simplify]: Simplify (* 2 0) into 0 3.607 * [taylor]: Taking taylor expansion of 0 in y 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.608 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 3.608 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.608 * [taylor]: Taking taylor expansion of 2 in y 3.608 * [backup-simplify]: Simplify 2 into 2 3.608 * [taylor]: Taking taylor expansion of y in y 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 1 into 1 3.609 * [backup-simplify]: Simplify (* 2 0) into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.610 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 3.610 * [taylor]: Taking taylor expansion of 0 in y 3.610 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.611 * [backup-simplify]: Simplify 2 into 2 3.611 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.613 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 3.613 * [taylor]: Taking taylor expansion of 0 in y 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.617 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 3.617 * [taylor]: Taking taylor expansion of 0 in y 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify (* 2 (* y x)) into (* 2 (* x y)) 3.618 * [backup-simplify]: Simplify (* 2 (* (/ 1 x) (/ 1 y))) into (/ 2 (* x y)) 3.618 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 3.618 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 3.618 * [taylor]: Taking taylor expansion of 2 in y 3.618 * [backup-simplify]: Simplify 2 into 2 3.618 * [taylor]: Taking taylor expansion of (* x y) in y 3.618 * [taylor]: Taking taylor expansion of x in y 3.618 * [backup-simplify]: Simplify x into x 3.618 * [taylor]: Taking taylor expansion of y in y 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (* x 0) into 0 3.619 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.619 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 3.619 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 3.619 * [taylor]: Taking taylor expansion of 2 in x 3.619 * [backup-simplify]: Simplify 2 into 2 3.619 * [taylor]: Taking taylor expansion of (* x y) in x 3.619 * [taylor]: Taking taylor expansion of x in x 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [taylor]: Taking taylor expansion of y in x 3.619 * [backup-simplify]: Simplify y into y 3.619 * [backup-simplify]: Simplify (* 0 y) into 0 3.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.620 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 3.620 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 3.620 * [taylor]: Taking taylor expansion of 2 in x 3.620 * [backup-simplify]: Simplify 2 into 2 3.620 * [taylor]: Taking taylor expansion of (* x y) in x 3.620 * [taylor]: Taking taylor expansion of x in x 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 1 into 1 3.620 * [taylor]: Taking taylor expansion of y in x 3.620 * [backup-simplify]: Simplify y into y 3.620 * [backup-simplify]: Simplify (* 0 y) into 0 3.620 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.620 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 3.620 * [taylor]: Taking taylor expansion of (/ 2 y) in y 3.621 * [taylor]: Taking taylor expansion of 2 in y 3.621 * [backup-simplify]: Simplify 2 into 2 3.621 * [taylor]: Taking taylor expansion of y in y 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (/ 2 1) into 2 3.621 * [backup-simplify]: Simplify 2 into 2 3.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.622 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 3.622 * [taylor]: Taking taylor expansion of 0 in y 3.622 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.623 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.624 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.624 * [taylor]: Taking taylor expansion of 0 in y 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.627 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.627 * [taylor]: Taking taylor expansion of 0 in y 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 2 (* x y)) 3.628 * [backup-simplify]: Simplify (* 2 (* (/ 1 (- x)) (/ 1 (- y)))) into (/ 2 (* x y)) 3.628 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 3.628 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 3.628 * [taylor]: Taking taylor expansion of 2 in y 3.628 * [backup-simplify]: Simplify 2 into 2 3.628 * [taylor]: Taking taylor expansion of (* x y) in y 3.628 * [taylor]: Taking taylor expansion of x in y 3.629 * [backup-simplify]: Simplify x into x 3.629 * [taylor]: Taking taylor expansion of y in y 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 1 into 1 3.629 * [backup-simplify]: Simplify (* x 0) into 0 3.629 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.629 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 3.629 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 3.629 * [taylor]: Taking taylor expansion of 2 in x 3.629 * [backup-simplify]: Simplify 2 into 2 3.629 * [taylor]: Taking taylor expansion of (* x y) in x 3.629 * [taylor]: Taking taylor expansion of x in x 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 1 into 1 3.629 * [taylor]: Taking taylor expansion of y in x 3.629 * [backup-simplify]: Simplify y into y 3.629 * [backup-simplify]: Simplify (* 0 y) into 0 3.630 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.630 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 3.630 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 3.630 * [taylor]: Taking taylor expansion of 2 in x 3.630 * [backup-simplify]: Simplify 2 into 2 3.630 * [taylor]: Taking taylor expansion of (* x y) in x 3.630 * [taylor]: Taking taylor expansion of x in x 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify 1 into 1 3.630 * [taylor]: Taking taylor expansion of y in x 3.630 * [backup-simplify]: Simplify y into y 3.630 * [backup-simplify]: Simplify (* 0 y) into 0 3.631 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.631 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 3.631 * [taylor]: Taking taylor expansion of (/ 2 y) in y 3.631 * [taylor]: Taking taylor expansion of 2 in y 3.631 * [backup-simplify]: Simplify 2 into 2 3.631 * [taylor]: Taking taylor expansion of y in y 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [backup-simplify]: Simplify (/ 2 1) into 2 3.631 * [backup-simplify]: Simplify 2 into 2 3.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.632 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 3.632 * [taylor]: Taking taylor expansion of 0 in y 3.632 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 3.633 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.634 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.634 * [taylor]: Taking taylor expansion of 0 in y 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.637 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.637 * [taylor]: Taking taylor expansion of 0 in y 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 2 (* x y)) 3.638 * * * * [progress]: [ 2 / 2 ] generating series at (2 3) 3.638 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* y y)) into (+ (pow y 2) (* 2 (* x y))) 3.638 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in (x y) around 0 3.638 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 3.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.639 * [taylor]: Taking taylor expansion of y in y 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 3.639 * [taylor]: Taking taylor expansion of 2 in y 3.639 * [backup-simplify]: Simplify 2 into 2 3.639 * [taylor]: Taking taylor expansion of (* x y) in y 3.639 * [taylor]: Taking taylor expansion of x in y 3.639 * [backup-simplify]: Simplify x into x 3.639 * [taylor]: Taking taylor expansion of y in y 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.639 * [taylor]: Taking taylor expansion of y in x 3.639 * [backup-simplify]: Simplify y into y 3.639 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.639 * [taylor]: Taking taylor expansion of 2 in x 3.639 * [backup-simplify]: Simplify 2 into 2 3.639 * [taylor]: Taking taylor expansion of (* x y) in x 3.639 * [taylor]: Taking taylor expansion of x in x 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [taylor]: Taking taylor expansion of y in x 3.639 * [backup-simplify]: Simplify y into y 3.639 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 3.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.639 * [taylor]: Taking taylor expansion of y in x 3.639 * [backup-simplify]: Simplify y into y 3.639 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 3.639 * [taylor]: Taking taylor expansion of 2 in x 3.639 * [backup-simplify]: Simplify 2 into 2 3.639 * [taylor]: Taking taylor expansion of (* x y) in x 3.639 * [taylor]: Taking taylor expansion of x in x 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [taylor]: Taking taylor expansion of y in x 3.639 * [backup-simplify]: Simplify y into y 3.639 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.639 * [backup-simplify]: Simplify (* 0 y) into 0 3.640 * [backup-simplify]: Simplify (* 2 0) into 0 3.640 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.640 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.640 * [taylor]: Taking taylor expansion of y in y 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 1 into 1 3.640 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.640 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.640 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 3.640 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 3.640 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.640 * [taylor]: Taking taylor expansion of 2 in y 3.640 * [backup-simplify]: Simplify 2 into 2 3.641 * [taylor]: Taking taylor expansion of y in y 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [backup-simplify]: Simplify (* 2 0) into 0 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.642 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 3.642 * [backup-simplify]: Simplify (+ 0 0) into 0 3.642 * [taylor]: Taking taylor expansion of 0 in y 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.643 * [backup-simplify]: Simplify 2 into 2 3.644 * [backup-simplify]: Simplify (* 1 1) into 1 3.644 * [backup-simplify]: Simplify 1 into 1 3.644 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.646 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 3.647 * [backup-simplify]: Simplify (+ 0 0) into 0 3.647 * [taylor]: Taking taylor expansion of 0 in y 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 3.652 * [backup-simplify]: Simplify (+ 0 0) into 0 3.652 * [taylor]: Taking taylor expansion of 0 in y 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.652 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 2 (* y x))) into (+ (pow y 2) (* 2 (* x y))) 3.653 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 x) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) 3.653 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (x y) around 0 3.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.653 * [taylor]: Taking taylor expansion of y in y 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 1 into 1 3.653 * [backup-simplify]: Simplify (* 1 1) into 1 3.654 * [backup-simplify]: Simplify (/ 1 1) into 1 3.654 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.654 * [taylor]: Taking taylor expansion of 2 in y 3.654 * [backup-simplify]: Simplify 2 into 2 3.654 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.654 * [taylor]: Taking taylor expansion of (* x y) in y 3.654 * [taylor]: Taking taylor expansion of x in y 3.654 * [backup-simplify]: Simplify x into x 3.654 * [taylor]: Taking taylor expansion of y in y 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.654 * [backup-simplify]: Simplify (* x 0) into 0 3.654 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.655 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.655 * [taylor]: Taking taylor expansion of y in x 3.655 * [backup-simplify]: Simplify y into y 3.655 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.655 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.655 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.655 * [taylor]: Taking taylor expansion of 2 in x 3.655 * [backup-simplify]: Simplify 2 into 2 3.655 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.655 * [taylor]: Taking taylor expansion of (* x y) in x 3.655 * [taylor]: Taking taylor expansion of x in x 3.655 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify 1 into 1 3.655 * [taylor]: Taking taylor expansion of y in x 3.655 * [backup-simplify]: Simplify y into y 3.655 * [backup-simplify]: Simplify (* 0 y) into 0 3.656 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.656 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.656 * [taylor]: Taking taylor expansion of y in x 3.656 * [backup-simplify]: Simplify y into y 3.656 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.656 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.656 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.656 * [taylor]: Taking taylor expansion of 2 in x 3.656 * [backup-simplify]: Simplify 2 into 2 3.656 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.656 * [taylor]: Taking taylor expansion of (* x y) in x 3.656 * [taylor]: Taking taylor expansion of x in x 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.656 * [taylor]: Taking taylor expansion of y in x 3.656 * [backup-simplify]: Simplify y into y 3.656 * [backup-simplify]: Simplify (* 0 y) into 0 3.657 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.657 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.657 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.657 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.657 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.657 * [taylor]: Taking taylor expansion of 2 in y 3.657 * [backup-simplify]: Simplify 2 into 2 3.657 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.657 * [taylor]: Taking taylor expansion of y in y 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify 1 into 1 3.657 * [backup-simplify]: Simplify (/ 1 1) into 1 3.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.659 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.659 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.659 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.659 * [taylor]: Taking taylor expansion of y in y 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (* 1 1) into 1 3.660 * [backup-simplify]: Simplify (/ 1 1) into 1 3.660 * [backup-simplify]: Simplify 1 into 1 3.660 * [backup-simplify]: Simplify (* 2 1) into 2 3.660 * [backup-simplify]: Simplify 2 into 2 3.660 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.663 * [backup-simplify]: Simplify (+ 0 0) into 0 3.663 * [taylor]: Taking taylor expansion of 0 in y 3.663 * [backup-simplify]: Simplify 0 into 0 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.664 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.665 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.665 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.667 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.669 * [backup-simplify]: Simplify (+ 0 0) into 0 3.669 * [taylor]: Taking taylor expansion of 0 in y 3.669 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.672 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.672 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 3.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.677 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 3.677 * [backup-simplify]: Simplify (+ 0 0) into 0 3.677 * [taylor]: Taking taylor expansion of 0 in y 3.677 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* 2 (* x y))) 3.680 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (- x)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) 3.680 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (x y) around 0 3.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 3.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.680 * [taylor]: Taking taylor expansion of y in y 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (* 1 1) into 1 3.681 * [backup-simplify]: Simplify (/ 1 1) into 1 3.681 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 3.681 * [taylor]: Taking taylor expansion of 2 in y 3.681 * [backup-simplify]: Simplify 2 into 2 3.681 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.681 * [taylor]: Taking taylor expansion of (* x y) in y 3.681 * [taylor]: Taking taylor expansion of x in y 3.681 * [backup-simplify]: Simplify x into x 3.681 * [taylor]: Taking taylor expansion of y in y 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [backup-simplify]: Simplify (* x 0) into 0 3.681 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.681 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.682 * [taylor]: Taking taylor expansion of y in x 3.682 * [backup-simplify]: Simplify y into y 3.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.682 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.682 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.682 * [taylor]: Taking taylor expansion of 2 in x 3.682 * [backup-simplify]: Simplify 2 into 2 3.682 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.682 * [taylor]: Taking taylor expansion of (* x y) in x 3.682 * [taylor]: Taking taylor expansion of x in x 3.682 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify 1 into 1 3.682 * [taylor]: Taking taylor expansion of y in x 3.682 * [backup-simplify]: Simplify y into y 3.682 * [backup-simplify]: Simplify (* 0 y) into 0 3.683 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.683 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 3.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.683 * [taylor]: Taking taylor expansion of y in x 3.683 * [backup-simplify]: Simplify y into y 3.683 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.683 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 3.683 * [taylor]: Taking taylor expansion of 2 in x 3.683 * [backup-simplify]: Simplify 2 into 2 3.683 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.683 * [taylor]: Taking taylor expansion of (* x y) in x 3.683 * [taylor]: Taking taylor expansion of x in x 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [taylor]: Taking taylor expansion of y in x 3.683 * [backup-simplify]: Simplify y into y 3.683 * [backup-simplify]: Simplify (* 0 y) into 0 3.684 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.684 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.684 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 3.684 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 3.684 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.684 * [taylor]: Taking taylor expansion of 2 in y 3.684 * [backup-simplify]: Simplify 2 into 2 3.684 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.684 * [taylor]: Taking taylor expansion of y in y 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [backup-simplify]: Simplify (/ 1 1) into 1 3.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.686 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 3.686 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.686 * [taylor]: Taking taylor expansion of y in y 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (* 1 1) into 1 3.687 * [backup-simplify]: Simplify (/ 1 1) into 1 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (* 2 1) into 2 3.687 * [backup-simplify]: Simplify 2 into 2 3.687 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.689 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.689 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [taylor]: Taking taylor expansion of 0 in y 3.689 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.693 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.694 * [backup-simplify]: Simplify (+ 0 0) into 0 3.694 * [taylor]: Taking taylor expansion of 0 in y 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.698 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 3.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 3.699 * [backup-simplify]: Simplify (+ 0 0) into 0 3.699 * [taylor]: Taking taylor expansion of 0 in y 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.700 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* 2 (* x y))) 3.701 * * * [progress]: simplifying candidates 3.701 * [simplify]: Simplifying: (expm1 (* 2 (* x y))) (log1p (* 2 (* x y))) (* 2 (* x y)) (* 2 (* x y)) (+ (log 2) (+ (log x) (log y))) (+ (log 2) (log (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (* (* (* 2 2) 2) (* (* (* x x) x) (* (* y y) y))) (* (* (* 2 2) 2) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (* (* (* 2 (* x y)) (* 2 (* x y))) (* 2 (* x y))) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (expm1 (+ (* 2 (* x y)) (* y y))) (log1p (+ (* 2 (* x y)) (* y y))) (* (exp (* 2 (* x y))) (exp (* y y))) (log (+ (* 2 (* x y)) (* y y))) (exp (+ (* 2 (* x y)) (* y y))) (* (cbrt (+ (* 2 (* x y)) (* y y))) (cbrt (+ (* 2 (* x y)) (* y y)))) (cbrt (+ (* 2 (* x y)) (* y y))) (* (* (+ (* 2 (* x y)) (* y y)) (+ (* 2 (* x y)) (* y y))) (+ (* 2 (* x y)) (* y y))) (sqrt (+ (* 2 (* x y)) (* y y))) (sqrt (+ (* 2 (* x y)) (* y y))) (+ (pow (* 2 (* x y)) 3) (pow (* y y) 3)) (+ (* (* 2 (* x y)) (* 2 (* x y))) (- (* (* y y) (* y y)) (* (* 2 (* x y)) (* y y)))) (- (* (* 2 (* x y)) (* 2 (* x y))) (* (* y y) (* y y))) (- (* 2 (* x y)) (* y y)) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 3.702 * * [simplify]: Extracting # 0 : cost 0 3.702 * * [simplify]: Extracting # 1 : cost 0 3.702 * * [simplify]: Extracting # 2 : cost 0 3.702 * * [simplify]: Extracting # 3 : cost 0 3.702 * * [simplify]: Extracting # 4 : cost 0 3.702 * * [simplify]: Extracting # 5 : cost 0 3.703 * * [simplify]: Extracting # 6 : cost 0 3.703 * * [simplify]: iteration 0 : 61 enodes (cost 394 ) 3.720 * * [simplify]: Extracting # 0 : cost 0 3.720 * * [simplify]: Extracting # 1 : cost 0 3.720 * * [simplify]: Extracting # 2 : cost 0 3.720 * * [simplify]: Extracting # 3 : cost 0 3.721 * * [simplify]: Extracting # 4 : cost 0 3.721 * * [simplify]: iteration 1 : 186 enodes (cost 356 ) 3.837 * * [simplify]: Extracting # 0 : cost 0 3.839 * * [simplify]: Extracting # 1 : cost 0 3.841 * * [simplify]: Extracting # 2 : cost 0 3.842 * * [simplify]: Extracting # 3 : cost 0 3.844 * * [simplify]: Extracting # 4 : cost 0 3.846 * * [simplify]: iteration 2 : 946 enodes (cost 294 ) 4.517 * * [simplify]: Extracting # 0 : cost 0 4.523 * * [simplify]: Extracting # 1 : cost 0 4.533 * * [simplify]: Extracting # 2 : cost 0 4.546 * * [simplify]: Extracting # 3 : cost 0 4.564 * * [simplify]: Extracting # 4 : cost 0 4.573 * * [simplify]: iteration done: 5000 enodes (cost 277 ) 4.574 * [simplify]: Simplified to: (expm1 (* 2 (* x y))) (log1p (* 2 (* x y))) (* 2 (* x y)) (* 2 (* x y)) (log (* 2 (* x y))) (log (* 2 (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (pow (* 2 (* x y)) 3) (pow (* 2 (* x y)) 3) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (pow (* 2 (* x y)) 3) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (expm1 (* y (fma 2 x y))) (log1p (* y (fma 2 x y))) (exp (* y (fma 2 x y))) (log (* y (fma 2 x y))) (exp (* y (fma 2 x y))) (* (cbrt (* y (fma 2 x y))) (cbrt (* y (fma 2 x y)))) (cbrt (* y (fma 2 x y))) (pow (* y (fma 2 x y)) 3) (sqrt (* y (fma 2 x y))) (sqrt (* y (fma 2 x y))) (fma 8 (pow (* x y) 3) (pow y 6)) (* (* y y) (+ (* 4 (* x x)) (* y (- y (* 2 x))))) (- (* 4 (* (* x y) (* x y))) (pow y 4)) (* y (- (* 2 x) y)) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) (* y (fma 2 x y)) (* y (fma 2 x y)) (* y (fma 2 x y)) 4.574 * * * [progress]: adding candidates to table 4.701 * [progress]: [Phase 3 of 3] Extracting. 4.701 * * [regime]: Finding splitpoints for: (# #) 4.702 * * * [regime-changes]: Trying 2 branch expressions: (y x) 4.702 * * * * [regimes]: Trying to branch on y from (# #) 4.726 * * * * [regimes]: Trying to branch on x from (# #) 4.739 * * * [regime]: Found split indices: #