7.538 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: Extracting # 1 : cost 0 0.033 * * [simplify]: Extracting # 2 : cost 0 0.033 * * [simplify]: Extracting # 3 : cost 0 0.034 * * [simplify]: Extracting # 4 : cost 0 0.034 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: Extracting # 1 : cost 0 0.040 * * [simplify]: Extracting # 2 : cost 0 0.040 * * [simplify]: iteration 2 : 27 enodes (cost 7 ) 0.053 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: Extracting # 2 : cost 0 0.053 * * [simplify]: iteration 3 : 65 enodes (cost 7 ) 0.070 * * [simplify]: Extracting # 0 : cost 0 0.070 * * [simplify]: Extracting # 1 : cost 0 0.070 * * [simplify]: Extracting # 2 : cost 0 0.070 * * [simplify]: iteration 4 : 104 enodes (cost 7 ) 0.089 * * [simplify]: Extracting # 0 : cost 0 0.090 * * [simplify]: Extracting # 1 : cost 0 0.090 * * [simplify]: Extracting # 2 : cost 0 0.090 * * [simplify]: Extracting # 3 : cost 0 0.090 * * [simplify]: iteration 5 : 134 enodes (cost 7 ) 0.113 * * [simplify]: Extracting # 0 : cost 0 0.114 * * [simplify]: iteration 6 : 154 enodes (cost 7 ) 0.144 * * [simplify]: Extracting # 0 : cost 0 0.144 * * [simplify]: Extracting # 1 : cost 0 0.144 * * [simplify]: Extracting # 2 : cost 0 0.144 * * [simplify]: iteration 7 : 171 enodes (cost 7 ) 0.176 * * [simplify]: Extracting # 0 : cost 0 0.176 * * [simplify]: iteration 8 : 173 enodes (cost 7 ) 0.206 * * [simplify]: Extracting # 0 : cost 0 0.206 * * [simplify]: iteration done: 173 enodes (cost 7 ) 0.206 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.206 * * [progress]: iteration 1 / 4 0.206 * * * [progress]: picking best candidate 0.208 * * * * [pick]: Picked # 0.208 * * * [progress]: localizing error 0.212 * * * [progress]: generating rewritten candidates 0.212 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.249 * * * [progress]: generating series expansions 0.249 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.250 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.250 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.250 * [taylor]: Taking taylor expansion of (+ x y) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [backup-simplify]: Simplify x into x 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (+ x 0) into x 0.250 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.250 * [taylor]: Taking taylor expansion of (+ x y) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [backup-simplify]: Simplify y into y 0.250 * [backup-simplify]: Simplify (+ 0 y) into y 0.250 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.250 * [taylor]: Taking taylor expansion of (+ x y) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [backup-simplify]: Simplify y into y 0.250 * [backup-simplify]: Simplify (+ 0 y) into y 0.250 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (+ 1 0) into 1 0.251 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.251 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.251 * [taylor]: Taking taylor expansion of 2 in y 0.251 * [backup-simplify]: Simplify 2 into 2 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (* 2 0) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.252 * [taylor]: Taking taylor expansion of 1 in y 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.253 * [backup-simplify]: Simplify 2 into 2 0.253 * [backup-simplify]: Simplify (* 1 1) into 1 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [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)))) 0.253 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.254 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.254 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [backup-simplify]: Simplify x into x 0.254 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.254 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [backup-simplify]: Simplify y into y 0.254 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (+ 0 1) into 1 0.255 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [backup-simplify]: Simplify y into y 0.255 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (+ 0 1) into 1 0.256 * [backup-simplify]: Simplify (* 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of 1 in y 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.257 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.257 * [taylor]: Taking taylor expansion of 2 in y 0.257 * [backup-simplify]: Simplify 2 into 2 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (* 2 1) into 2 0.260 * [backup-simplify]: Simplify 2 into 2 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [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)))) 0.260 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.260 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.260 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [backup-simplify]: Simplify x into x 0.261 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.261 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [backup-simplify]: Simplify y into y 0.262 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [backup-simplify]: Simplify (+ 0 1) into 1 0.262 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [backup-simplify]: Simplify y into y 0.262 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (+ 0 1) into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [taylor]: Taking taylor expansion of 1 in y 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.264 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.264 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.264 * [taylor]: Taking taylor expansion of 2 in y 0.264 * [backup-simplify]: Simplify 2 into 2 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (* 2 1) into 2 0.267 * [backup-simplify]: Simplify 2 into 2 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [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)))) 0.267 * * * [progress]: simplifying candidates 0.268 * [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)))) 0.269 * * [simplify]: Extracting # 0 : cost 0 0.269 * * [simplify]: Extracting # 1 : cost 0 0.269 * * [simplify]: Extracting # 2 : cost 0 0.269 * * [simplify]: Extracting # 3 : cost 0 0.269 * * [simplify]: Extracting # 4 : cost 0 0.269 * * [simplify]: Extracting # 5 : cost 0 0.269 * * [simplify]: Extracting # 6 : cost 0 0.269 * * [simplify]: iteration 0 : 64 enodes (cost 532 ) 0.286 * * [simplify]: Extracting # 0 : cost 0 0.286 * * [simplify]: Extracting # 1 : cost 0 0.287 * * [simplify]: Extracting # 2 : cost 0 0.287 * * [simplify]: Extracting # 3 : cost 0 0.287 * * [simplify]: Extracting # 4 : cost 0 0.287 * * [simplify]: iteration 1 : 193 enodes (cost 465 ) 0.389 * * [simplify]: Extracting # 0 : cost 0 0.390 * * [simplify]: Extracting # 1 : cost 0 0.391 * * [simplify]: Extracting # 2 : cost 0 0.392 * * [simplify]: Extracting # 3 : cost 0 0.393 * * [simplify]: Extracting # 4 : cost 0 0.393 * * [simplify]: iteration 2 : 792 enodes (cost 416 ) 1.461 * * [simplify]: Extracting # 0 : cost 0 1.467 * * [simplify]: Extracting # 1 : cost 0 1.470 * * [simplify]: Extracting # 2 : cost 0 1.474 * * [simplify]: Extracting # 3 : cost 0 1.478 * * [simplify]: Extracting # 4 : cost 0 1.481 * * [simplify]: Extracting # 5 : cost 0 1.488 * * [simplify]: iteration 3 : 3639 enodes (cost 380 ) 2.556 * * [simplify]: Extracting # 0 : cost 0 2.562 * * [simplify]: Extracting # 1 : cost 0 2.568 * * [simplify]: iteration done: 5000 enodes (cost 380 ) 2.568 * [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)) 2.568 * * * [progress]: adding candidates to table 2.640 * * [progress]: iteration 2 / 4 2.640 * * * [progress]: picking best candidate 2.644 * * * * [pick]: Picked # 2.644 * * * [progress]: localizing error 2.650 * * * [progress]: generating rewritten candidates 2.650 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.666 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.690 * * * [progress]: generating series expansions 2.690 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.691 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.691 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 2.691 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 2.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.691 * [taylor]: Taking taylor expansion of x in y 2.691 * [backup-simplify]: Simplify x into x 2.691 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 2.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.691 * [taylor]: Taking taylor expansion of y in y 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 2.691 * [taylor]: Taking taylor expansion of 2 in y 2.691 * [backup-simplify]: Simplify 2 into 2 2.691 * [taylor]: Taking taylor expansion of (* x y) in y 2.691 * [taylor]: Taking taylor expansion of x in y 2.691 * [backup-simplify]: Simplify x into x 2.691 * [taylor]: Taking taylor expansion of y in y 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.691 * [taylor]: Taking taylor expansion of x in x 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.691 * [taylor]: Taking taylor expansion of y in x 2.691 * [backup-simplify]: Simplify y into y 2.691 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.691 * [taylor]: Taking taylor expansion of 2 in x 2.691 * [backup-simplify]: Simplify 2 into 2 2.691 * [taylor]: Taking taylor expansion of (* x y) in x 2.691 * [taylor]: Taking taylor expansion of x in x 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [taylor]: Taking taylor expansion of y in x 2.691 * [backup-simplify]: Simplify y into y 2.691 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 2.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.691 * [taylor]: Taking taylor expansion of x in x 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 2.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.692 * [taylor]: Taking taylor expansion of y in x 2.692 * [backup-simplify]: Simplify y into y 2.692 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 2.692 * [taylor]: Taking taylor expansion of 2 in x 2.692 * [backup-simplify]: Simplify 2 into 2 2.692 * [taylor]: Taking taylor expansion of (* x y) in x 2.692 * [taylor]: Taking taylor expansion of x in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of y in x 2.692 * [backup-simplify]: Simplify y into y 2.692 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.692 * [backup-simplify]: Simplify (* 0 y) into 0 2.692 * [backup-simplify]: Simplify (* 2 0) into 0 2.693 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.693 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.693 * [taylor]: Taking taylor expansion of y in y 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.693 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.693 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.694 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 2.694 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.694 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.694 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.694 * [taylor]: Taking taylor expansion of 2 in y 2.694 * [backup-simplify]: Simplify 2 into 2 2.694 * [taylor]: Taking taylor expansion of y in y 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.694 * [backup-simplify]: Simplify (* 2 0) into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify (* 1 1) into 1 2.695 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 2.696 * [backup-simplify]: Simplify (+ 0 0) into 0 2.696 * [backup-simplify]: Simplify (+ 1 0) into 1 2.696 * [taylor]: Taking taylor expansion of 1 in y 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [backup-simplify]: Simplify 1 into 1 2.697 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.697 * [backup-simplify]: Simplify 2 into 2 2.697 * [backup-simplify]: Simplify (* 1 1) into 1 2.697 * [backup-simplify]: Simplify 1 into 1 2.697 * [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)))) 2.698 * [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))))) 2.698 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.698 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.698 * [taylor]: Taking taylor expansion of x in y 2.698 * [backup-simplify]: Simplify x into x 2.698 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.698 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.698 * [taylor]: Taking taylor expansion of y in y 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.698 * [backup-simplify]: Simplify (* 1 1) into 1 2.699 * [backup-simplify]: Simplify (/ 1 1) into 1 2.699 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.699 * [taylor]: Taking taylor expansion of 2 in y 2.699 * [backup-simplify]: Simplify 2 into 2 2.699 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.699 * [taylor]: Taking taylor expansion of (* x y) in y 2.699 * [taylor]: Taking taylor expansion of x in y 2.699 * [backup-simplify]: Simplify x into x 2.699 * [taylor]: Taking taylor expansion of y in y 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (* x 0) into 0 2.699 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.699 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.699 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.699 * [taylor]: Taking taylor expansion of x in x 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 1 into 1 2.700 * [backup-simplify]: Simplify (* 1 1) into 1 2.700 * [backup-simplify]: Simplify (/ 1 1) into 1 2.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.700 * [taylor]: Taking taylor expansion of y in x 2.700 * [backup-simplify]: Simplify y into y 2.700 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.700 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.700 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.700 * [taylor]: Taking taylor expansion of 2 in x 2.700 * [backup-simplify]: Simplify 2 into 2 2.700 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.700 * [taylor]: Taking taylor expansion of (* x y) in x 2.700 * [taylor]: Taking taylor expansion of x in x 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [taylor]: Taking taylor expansion of y in x 2.700 * [backup-simplify]: Simplify y into y 2.700 * [backup-simplify]: Simplify (* 0 y) into 0 2.701 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.701 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.701 * [taylor]: Taking taylor expansion of x in x 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 1 into 1 2.701 * [backup-simplify]: Simplify (* 1 1) into 1 2.702 * [backup-simplify]: Simplify (/ 1 1) into 1 2.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.702 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.702 * [taylor]: Taking taylor expansion of y in x 2.702 * [backup-simplify]: Simplify y into y 2.702 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.702 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.702 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.702 * [taylor]: Taking taylor expansion of 2 in x 2.702 * [backup-simplify]: Simplify 2 into 2 2.702 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.702 * [taylor]: Taking taylor expansion of (* x y) in x 2.702 * [taylor]: Taking taylor expansion of x in x 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 1 into 1 2.702 * [taylor]: Taking taylor expansion of y in x 2.702 * [backup-simplify]: Simplify y into y 2.702 * [backup-simplify]: Simplify (* 0 y) into 0 2.702 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.702 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.703 * [backup-simplify]: Simplify (+ 1 0) into 1 2.703 * [taylor]: Taking taylor expansion of 1 in y 2.703 * [backup-simplify]: Simplify 1 into 1 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.704 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.704 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.704 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.704 * [taylor]: Taking taylor expansion of 2 in y 2.704 * [backup-simplify]: Simplify 2 into 2 2.704 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.704 * [taylor]: Taking taylor expansion of y in y 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify 1 into 1 2.704 * [backup-simplify]: Simplify (/ 1 1) into 1 2.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.706 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.706 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.707 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.707 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.707 * [taylor]: Taking taylor expansion of y in y 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.707 * [backup-simplify]: Simplify (* 1 1) into 1 2.707 * [backup-simplify]: Simplify (/ 1 1) into 1 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (* 2 1) into 2 2.708 * [backup-simplify]: Simplify 2 into 2 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [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)))) 2.709 * [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))))) 2.709 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 2.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 2.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.709 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.709 * [taylor]: Taking taylor expansion of x in y 2.709 * [backup-simplify]: Simplify x into x 2.709 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.709 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 2.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.709 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.709 * [taylor]: Taking taylor expansion of y in y 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.709 * [backup-simplify]: Simplify (* 1 1) into 1 2.710 * [backup-simplify]: Simplify (/ 1 1) into 1 2.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 2.710 * [taylor]: Taking taylor expansion of 2 in y 2.710 * [backup-simplify]: Simplify 2 into 2 2.710 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.710 * [taylor]: Taking taylor expansion of (* x y) in y 2.710 * [taylor]: Taking taylor expansion of x in y 2.710 * [backup-simplify]: Simplify x into x 2.710 * [taylor]: Taking taylor expansion of y in y 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (* x 0) into 0 2.710 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.710 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.710 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.710 * [taylor]: Taking taylor expansion of x in x 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (* 1 1) into 1 2.711 * [backup-simplify]: Simplify (/ 1 1) into 1 2.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.711 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.711 * [taylor]: Taking taylor expansion of y in x 2.711 * [backup-simplify]: Simplify y into y 2.711 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.711 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.711 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.711 * [taylor]: Taking taylor expansion of 2 in x 2.711 * [backup-simplify]: Simplify 2 into 2 2.711 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.711 * [taylor]: Taking taylor expansion of (* x y) in x 2.711 * [taylor]: Taking taylor expansion of x in x 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [taylor]: Taking taylor expansion of y in x 2.711 * [backup-simplify]: Simplify y into y 2.711 * [backup-simplify]: Simplify (* 0 y) into 0 2.712 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.712 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 2.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 1 into 1 2.712 * [backup-simplify]: Simplify (* 1 1) into 1 2.712 * [backup-simplify]: Simplify (/ 1 1) into 1 2.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 2.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.712 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.712 * [taylor]: Taking taylor expansion of y in x 2.712 * [backup-simplify]: Simplify y into y 2.712 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.713 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.713 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 2.713 * [taylor]: Taking taylor expansion of 2 in x 2.713 * [backup-simplify]: Simplify 2 into 2 2.713 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.713 * [taylor]: Taking taylor expansion of (* x y) in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [taylor]: Taking taylor expansion of y in x 2.713 * [backup-simplify]: Simplify y into y 2.713 * [backup-simplify]: Simplify (* 0 y) into 0 2.713 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.713 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.713 * [backup-simplify]: Simplify (+ 1 0) into 1 2.714 * [taylor]: Taking taylor expansion of 1 in y 2.714 * [backup-simplify]: Simplify 1 into 1 2.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 2.715 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.715 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 2.715 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.715 * [taylor]: Taking taylor expansion of 2 in y 2.715 * [backup-simplify]: Simplify 2 into 2 2.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.715 * [taylor]: Taking taylor expansion of y in y 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [backup-simplify]: Simplify (/ 1 1) into 1 2.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.717 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 2.717 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.717 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.717 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.717 * [taylor]: Taking taylor expansion of y in y 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify (* 1 1) into 1 2.718 * [backup-simplify]: Simplify (/ 1 1) into 1 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify (* 2 1) into 2 2.718 * [backup-simplify]: Simplify 2 into 2 2.718 * [backup-simplify]: Simplify 1 into 1 2.719 * [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)))) 2.719 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.719 * [backup-simplify]: Simplify (* (+ x y) x) into (* x (+ x y)) 2.719 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 2.719 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 2.719 * [taylor]: Taking taylor expansion of x in y 2.719 * [backup-simplify]: Simplify x into x 2.719 * [taylor]: Taking taylor expansion of (+ x y) in y 2.719 * [taylor]: Taking taylor expansion of x in y 2.719 * [backup-simplify]: Simplify x into x 2.719 * [taylor]: Taking taylor expansion of y in y 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.719 * [taylor]: Taking taylor expansion of x in x 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [taylor]: Taking taylor expansion of (+ x y) in x 2.719 * [taylor]: Taking taylor expansion of x in x 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [taylor]: Taking taylor expansion of y in x 2.719 * [backup-simplify]: Simplify y into y 2.719 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 2.719 * [taylor]: Taking taylor expansion of x in x 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [taylor]: Taking taylor expansion of (+ x y) in x 2.719 * [taylor]: Taking taylor expansion of x in x 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [taylor]: Taking taylor expansion of y in x 2.719 * [backup-simplify]: Simplify y into y 2.720 * [backup-simplify]: Simplify (+ 0 y) into y 2.720 * [backup-simplify]: Simplify (* 0 y) into 0 2.720 * [taylor]: Taking taylor expansion of 0 in y 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify (+ 1 0) into 1 2.721 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 2.721 * [taylor]: Taking taylor expansion of y in y 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (+ 0 0) into 0 2.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 2.721 * [taylor]: Taking taylor expansion of 1 in y 2.721 * [backup-simplify]: Simplify 1 into 1 2.722 * [backup-simplify]: Simplify 1 into 1 2.722 * [backup-simplify]: Simplify 1 into 1 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (+ 0 0) into 0 2.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 2.723 * [taylor]: Taking taylor expansion of 0 in y 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 2.724 * [taylor]: Taking taylor expansion of 0 in y 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 2.725 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.725 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.725 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.725 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.725 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.725 * [taylor]: Taking taylor expansion of y in y 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 1 into 1 2.725 * [backup-simplify]: Simplify (/ 1 1) into 1 2.725 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.725 * [taylor]: Taking taylor expansion of x in y 2.725 * [backup-simplify]: Simplify x into x 2.725 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.725 * [taylor]: Taking taylor expansion of x in y 2.725 * [backup-simplify]: Simplify x into x 2.725 * [backup-simplify]: Simplify (+ 1 0) into 1 2.726 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.726 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.726 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.726 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.726 * [taylor]: Taking taylor expansion of y in x 2.726 * [backup-simplify]: Simplify y into y 2.726 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.726 * [taylor]: Taking taylor expansion of x in x 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [backup-simplify]: Simplify (/ 1 1) into 1 2.726 * [taylor]: Taking taylor expansion of x in x 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [backup-simplify]: Simplify (+ 0 1) into 1 2.727 * [backup-simplify]: Simplify (/ 1 1) into 1 2.727 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.727 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.727 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.727 * [taylor]: Taking taylor expansion of y in x 2.727 * [backup-simplify]: Simplify y into y 2.727 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.727 * [taylor]: Taking taylor expansion of x in x 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 1 into 1 2.727 * [backup-simplify]: Simplify (/ 1 1) into 1 2.727 * [taylor]: Taking taylor expansion of x in x 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 1 into 1 2.727 * [backup-simplify]: Simplify (+ 0 1) into 1 2.728 * [backup-simplify]: Simplify (/ 1 1) into 1 2.728 * [taylor]: Taking taylor expansion of 1 in y 2.728 * [backup-simplify]: Simplify 1 into 1 2.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.729 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.729 * [taylor]: Taking taylor expansion of y in y 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (/ 1 1) into 1 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (+ 0 0) into 0 2.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.731 * [taylor]: Taking taylor expansion of 0 in y 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.732 * [backup-simplify]: Simplify (+ 0 0) into 0 2.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.733 * [taylor]: Taking taylor expansion of 0 in y 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.735 * [backup-simplify]: Simplify (+ 0 0) into 0 2.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.736 * [taylor]: Taking taylor expansion of 0 in y 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 2.737 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 y) (/ 1 x)) x) 2.737 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 2.737 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 2.737 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.737 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.737 * [taylor]: Taking taylor expansion of y in y 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify (/ 1 1) into 1 2.737 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.737 * [taylor]: Taking taylor expansion of x in y 2.737 * [backup-simplify]: Simplify x into x 2.737 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.737 * [taylor]: Taking taylor expansion of x in y 2.737 * [backup-simplify]: Simplify x into x 2.738 * [backup-simplify]: Simplify (+ 1 0) into 1 2.738 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.738 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.738 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.738 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.738 * [taylor]: Taking taylor expansion of y in x 2.738 * [backup-simplify]: Simplify y into y 2.738 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [backup-simplify]: Simplify (/ 1 1) into 1 2.738 * [taylor]: Taking taylor expansion of x in x 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (+ 0 1) into 1 2.739 * [backup-simplify]: Simplify (/ 1 1) into 1 2.739 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 2.739 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.739 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.739 * [taylor]: Taking taylor expansion of y in x 2.739 * [backup-simplify]: Simplify y into y 2.739 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.739 * [taylor]: Taking taylor expansion of x in x 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (/ 1 1) into 1 2.739 * [taylor]: Taking taylor expansion of x in x 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (+ 0 1) into 1 2.740 * [backup-simplify]: Simplify (/ 1 1) into 1 2.740 * [taylor]: Taking taylor expansion of 1 in y 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.740 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.741 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 2.741 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.741 * [taylor]: Taking taylor expansion of y in y 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (/ 1 1) into 1 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ 0 0) into 0 2.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 2.743 * [taylor]: Taking taylor expansion of 0 in y 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.744 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.746 * [taylor]: Taking taylor expansion of 0 in y 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.749 * [taylor]: Taking taylor expansion of 0 in y 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 2.749 * * * [progress]: simplifying candidates 2.750 * [simplify]: Simplifying: (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 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)) 2.751 * * [simplify]: Extracting # 0 : cost 0 2.751 * * [simplify]: Extracting # 1 : cost 0 2.751 * * [simplify]: Extracting # 2 : cost 0 2.751 * * [simplify]: Extracting # 3 : cost 0 2.751 * * [simplify]: Extracting # 4 : cost 0 2.751 * * [simplify]: Extracting # 5 : cost 0 2.752 * * [simplify]: Extracting # 6 : cost 0 2.752 * * [simplify]: iteration 0 : 92 enodes (cost 679 ) 2.777 * * [simplify]: Extracting # 0 : cost 0 2.778 * * [simplify]: Extracting # 1 : cost 0 2.778 * * [simplify]: Extracting # 2 : cost 0 2.778 * * [simplify]: Extracting # 3 : cost 0 2.779 * * [simplify]: Extracting # 4 : cost 0 2.779 * * [simplify]: Extracting # 5 : cost 0 2.779 * * [simplify]: iteration 1 : 277 enodes (cost 564 ) 2.938 * * [simplify]: Extracting # 0 : cost 0 2.940 * * [simplify]: Extracting # 1 : cost 0 2.941 * * [simplify]: Extracting # 2 : cost 0 2.942 * * [simplify]: Extracting # 3 : cost 0 2.944 * * [simplify]: iteration 2 : 1094 enodes (cost 496 ) 3.926 * * [simplify]: Extracting # 0 : cost 0 3.933 * * [simplify]: Extracting # 1 : cost 0 3.947 * * [simplify]: Extracting # 2 : cost 0 3.953 * * [simplify]: Extracting # 3 : cost 0 3.960 * * [simplify]: Extracting # 4 : cost 0 3.966 * * [simplify]: Extracting # 5 : cost 0 3.973 * * [simplify]: iteration done: 5001 enodes (cost 470 ) 3.973 * [simplify]: Simplified to: (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)) (* (* (fma x x (* y (- y x))) (+ (pow x 3) (pow y 3))) (+ x y)) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))) (fma (* (+ (pow x 3) (pow y 3)) x) (- x y) (* (* (- (* x x) (* y y)) y) (fma x x (* y (- y x))))) (* (- 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 y) (+ x 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 (* x (+ x y))))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (expm1 (* (+ x y) x)) (log1p (* (+ x y) x)) (* x (+ x y)) (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 (+ x y)) (* x (+ x y)) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (fma x x (* y (fma x 2 y))) (fma x x (* y (fma x 2 y))) (fma x x (* y (fma x 2 y))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 3.974 * * * [progress]: adding candidates to table 4.082 * * [progress]: iteration 3 / 4 4.082 * * * [progress]: picking best candidate 4.084 * * * * [pick]: Picked # 4.084 * * * [progress]: localizing error 4.091 * * * [progress]: generating rewritten candidates 4.091 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.091 * * * [progress]: generating series expansions 4.091 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.092 * [backup-simplify]: Simplify (fma y (fma x 2 y) (* x x)) into (fma y (fma x 2 y) (pow x 2)) 4.092 * [approximate]: Taking taylor expansion of (fma y (fma x 2 y) (pow x 2)) in (y x) around 0 4.092 * [taylor]: Taking taylor expansion of (fma y (fma x 2 y) (pow x 2)) in x 4.092 * [taylor]: Rewrote expression to (+ (* y (fma x 2 y)) (pow x 2)) 4.092 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 4.092 * [taylor]: Taking taylor expansion of y in x 4.092 * [backup-simplify]: Simplify y into y 4.092 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 4.092 * [taylor]: Rewrote expression to (+ (* x 2) y) 4.092 * [taylor]: Taking taylor expansion of (* x 2) in x 4.092 * [taylor]: Taking taylor expansion of x in x 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [taylor]: Taking taylor expansion of 2 in x 4.092 * [backup-simplify]: Simplify 2 into 2 4.092 * [taylor]: Taking taylor expansion of y in x 4.092 * [backup-simplify]: Simplify y into y 4.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.092 * [taylor]: Taking taylor expansion of x in x 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [taylor]: Taking taylor expansion of (fma y (fma x 2 y) (pow x 2)) in y 4.092 * [taylor]: Rewrote expression to (+ (* y (fma x 2 y)) (pow x 2)) 4.092 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 4.092 * [taylor]: Taking taylor expansion of y in y 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 4.092 * [taylor]: Rewrote expression to (+ (* x 2) y) 4.092 * [taylor]: Taking taylor expansion of (* x 2) in y 4.092 * [taylor]: Taking taylor expansion of x in y 4.093 * [backup-simplify]: Simplify x into x 4.093 * [taylor]: Taking taylor expansion of 2 in y 4.093 * [backup-simplify]: Simplify 2 into 2 4.093 * [taylor]: Taking taylor expansion of y in y 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.093 * [taylor]: Taking taylor expansion of x in y 4.093 * [backup-simplify]: Simplify x into x 4.093 * [taylor]: Taking taylor expansion of (fma y (fma x 2 y) (pow x 2)) in y 4.093 * [taylor]: Rewrote expression to (+ (* y (fma x 2 y)) (pow x 2)) 4.093 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 4.093 * [taylor]: Taking taylor expansion of y in y 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.093 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 4.093 * [taylor]: Rewrote expression to (+ (* x 2) y) 4.093 * [taylor]: Taking taylor expansion of (* x 2) in y 4.093 * [taylor]: Taking taylor expansion of x in y 4.093 * [backup-simplify]: Simplify x into x 4.093 * [taylor]: Taking taylor expansion of 2 in y 4.093 * [backup-simplify]: Simplify 2 into 2 4.093 * [taylor]: Taking taylor expansion of y in y 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.093 * [taylor]: Taking taylor expansion of x in y 4.093 * [backup-simplify]: Simplify x into x 4.093 * [backup-simplify]: Simplify (* x 2) into (* 2 x) 4.093 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 4.093 * [backup-simplify]: Simplify (* 0 (* 2 x)) into 0 4.093 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.093 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.093 * [taylor]: Taking taylor expansion of x in x 4.093 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [backup-simplify]: Simplify (+ (* x 0) (* 0 2)) into 0 4.094 * [backup-simplify]: Simplify (+ 0 1) into 1 4.095 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 x))) into (* 2 x) 4.095 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.095 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 4.095 * [taylor]: Taking taylor expansion of (* 2 x) in x 4.095 * [taylor]: Taking taylor expansion of 2 in x 4.095 * [backup-simplify]: Simplify 2 into 2 4.095 * [taylor]: Taking taylor expansion of x in x 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify 1 into 1 4.095 * [backup-simplify]: Simplify (* 2 0) into 0 4.095 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 2))) into 0 4.096 * [backup-simplify]: Simplify (+ 0 0) into 0 4.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 x)))) into 1 4.097 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.097 * [backup-simplify]: Simplify (+ 1 0) into 1 4.098 * [taylor]: Taking taylor expansion of 1 in x 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.098 * [backup-simplify]: Simplify 2 into 2 4.098 * [backup-simplify]: Simplify (* 1 1) into 1 4.098 * [backup-simplify]: Simplify 1 into 1 4.099 * [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)))) 4.099 * [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))) 4.099 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) in (y x) around 0 4.099 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) in x 4.099 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) (/ 1 (pow x 2))) 4.099 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) in x 4.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.099 * [taylor]: Taking taylor expansion of y in x 4.099 * [backup-simplify]: Simplify y into y 4.099 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.099 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 4.099 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 4.099 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 4.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.099 * [taylor]: Taking taylor expansion of x in x 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (/ 1 1) into 1 4.100 * [taylor]: Taking taylor expansion of 2 in x 4.100 * [backup-simplify]: Simplify 2 into 2 4.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.100 * [taylor]: Taking taylor expansion of y in x 4.100 * [backup-simplify]: Simplify y into y 4.100 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.100 * [taylor]: Taking taylor expansion of x in x 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (* 1 1) into 1 4.100 * [backup-simplify]: Simplify (/ 1 1) into 1 4.101 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) in y 4.101 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) (/ 1 (pow x 2))) 4.101 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) in y 4.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.101 * [taylor]: Taking taylor expansion of y in y 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (/ 1 1) into 1 4.101 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 4.101 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 4.101 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 4.101 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.101 * [taylor]: Taking taylor expansion of x in y 4.101 * [backup-simplify]: Simplify x into x 4.101 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.101 * [taylor]: Taking taylor expansion of 2 in y 4.101 * [backup-simplify]: Simplify 2 into 2 4.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.101 * [taylor]: Taking taylor expansion of y in y 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify (/ 1 1) into 1 4.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.102 * [taylor]: Taking taylor expansion of x in y 4.102 * [backup-simplify]: Simplify x into x 4.102 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.102 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.102 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)) (/ 1 (pow x 2))) in y 4.102 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) (/ 1 (pow x 2))) 4.102 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) in y 4.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.102 * [taylor]: Taking taylor expansion of y in y 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify (/ 1 1) into 1 4.102 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 4.102 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 4.102 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 4.102 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.102 * [taylor]: Taking taylor expansion of x in y 4.103 * [backup-simplify]: Simplify x into x 4.103 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.103 * [taylor]: Taking taylor expansion of 2 in y 4.103 * [backup-simplify]: Simplify 2 into 2 4.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.103 * [taylor]: Taking taylor expansion of y in y 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.103 * [backup-simplify]: Simplify (/ 1 1) into 1 4.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.103 * [taylor]: Taking taylor expansion of x in y 4.103 * [backup-simplify]: Simplify x into x 4.103 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.103 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.103 * [backup-simplify]: Simplify (+ 0 1) into 1 4.104 * [backup-simplify]: Simplify (* 1 1) into 1 4.104 * [backup-simplify]: Simplify (+ 1 0) into 1 4.104 * [taylor]: Taking taylor expansion of 1 in x 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (* (/ 1 x) 2) into (/ 2 x) 4.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x)) 4.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 x))) (* 0 1)) into (* 2 (/ 1 x)) 4.105 * [backup-simplify]: Simplify (+ (* 2 (/ 1 x)) 0) into (* 2 (/ 1 x)) 4.106 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 4.106 * [taylor]: Taking taylor expansion of 2 in x 4.106 * [backup-simplify]: Simplify 2 into 2 4.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.106 * [taylor]: Taking taylor expansion of x in x 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 1 into 1 4.106 * [backup-simplify]: Simplify (/ 1 1) into 1 4.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.106 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 2)) into 0 4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (+ 0 0) into 0 4.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 x))) (* 0 1))) into 0 4.108 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 4.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.108 * [taylor]: Taking taylor expansion of x in x 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (* 1 1) into 1 4.109 * [backup-simplify]: Simplify (/ 1 1) into 1 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (* 2 1) into 2 4.109 * [backup-simplify]: Simplify 2 into 2 4.109 * [backup-simplify]: Simplify 1 into 1 4.110 * [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)))) 4.110 * [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))) 4.110 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) in (y x) around 0 4.110 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) in x 4.110 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) (/ 1 (pow x 2))) 4.110 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) in x 4.110 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.110 * [taylor]: Taking taylor expansion of -1 in x 4.110 * [backup-simplify]: Simplify -1 into -1 4.110 * [taylor]: Taking taylor expansion of y in x 4.110 * [backup-simplify]: Simplify y into y 4.110 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 4.110 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 4.110 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 4.110 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 4.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.110 * [taylor]: Taking taylor expansion of -1 in x 4.110 * [backup-simplify]: Simplify -1 into -1 4.110 * [taylor]: Taking taylor expansion of x in x 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (/ -1 1) into -1 4.111 * [taylor]: Taking taylor expansion of 2 in x 4.111 * [backup-simplify]: Simplify 2 into 2 4.111 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.111 * [taylor]: Taking taylor expansion of -1 in x 4.111 * [backup-simplify]: Simplify -1 into -1 4.111 * [taylor]: Taking taylor expansion of y in x 4.111 * [backup-simplify]: Simplify y into y 4.111 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 4.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.111 * [taylor]: Taking taylor expansion of x in x 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (* 1 1) into 1 4.112 * [backup-simplify]: Simplify (/ 1 1) into 1 4.112 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) in y 4.112 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) (/ 1 (pow x 2))) 4.112 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) in y 4.112 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.112 * [taylor]: Taking taylor expansion of -1 in y 4.112 * [backup-simplify]: Simplify -1 into -1 4.112 * [taylor]: Taking taylor expansion of y in y 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.112 * [backup-simplify]: Simplify (/ -1 1) into -1 4.112 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 4.112 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 4.112 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 4.112 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.112 * [taylor]: Taking taylor expansion of -1 in y 4.112 * [backup-simplify]: Simplify -1 into -1 4.112 * [taylor]: Taking taylor expansion of x in y 4.112 * [backup-simplify]: Simplify x into x 4.113 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 4.113 * [taylor]: Taking taylor expansion of 2 in y 4.113 * [backup-simplify]: Simplify 2 into 2 4.113 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.113 * [taylor]: Taking taylor expansion of -1 in y 4.113 * [backup-simplify]: Simplify -1 into -1 4.113 * [taylor]: Taking taylor expansion of y in y 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [backup-simplify]: Simplify (/ -1 1) into -1 4.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.113 * [taylor]: Taking taylor expansion of x in y 4.113 * [backup-simplify]: Simplify x into x 4.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.113 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.113 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma (/ -1 x) 2 (/ -1 y)) (/ 1 (pow x 2))) in y 4.113 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) (/ 1 (pow x 2))) 4.113 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma (/ -1 x) 2 (/ -1 y))) in y 4.113 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.113 * [taylor]: Taking taylor expansion of -1 in y 4.113 * [backup-simplify]: Simplify -1 into -1 4.113 * [taylor]: Taking taylor expansion of y in y 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (/ -1 1) into -1 4.114 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 4.114 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 4.114 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 4.114 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.114 * [taylor]: Taking taylor expansion of -1 in y 4.114 * [backup-simplify]: Simplify -1 into -1 4.114 * [taylor]: Taking taylor expansion of x in y 4.114 * [backup-simplify]: Simplify x into x 4.114 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 4.114 * [taylor]: Taking taylor expansion of 2 in y 4.114 * [backup-simplify]: Simplify 2 into 2 4.114 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.114 * [taylor]: Taking taylor expansion of -1 in y 4.114 * [backup-simplify]: Simplify -1 into -1 4.114 * [taylor]: Taking taylor expansion of y in y 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (/ -1 1) into -1 4.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.114 * [taylor]: Taking taylor expansion of x in y 4.115 * [backup-simplify]: Simplify x into x 4.115 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.115 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.115 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.115 * [backup-simplify]: Simplify (* -1 -1) into 1 4.116 * [backup-simplify]: Simplify (+ 1 0) into 1 4.116 * [taylor]: Taking taylor expansion of 1 in x 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [backup-simplify]: Simplify (* (/ -1 x) 2) into (/ -2 x) 4.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (+ (/ -2 x) 0) into (- (* 2 (/ 1 x))) 4.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 x)))) (* 0 -1)) into (* 2 (/ 1 x)) 4.117 * [backup-simplify]: Simplify (+ (* 2 (/ 1 x)) 0) into (* 2 (/ 1 x)) 4.117 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 4.117 * [taylor]: Taking taylor expansion of 2 in x 4.117 * [backup-simplify]: Simplify 2 into 2 4.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.117 * [taylor]: Taking taylor expansion of x in x 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 1 into 1 4.118 * [backup-simplify]: Simplify (/ 1 1) into 1 4.118 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 4.118 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 2)) into 0 4.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.119 * [backup-simplify]: Simplify (+ 0 0) into 0 4.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.120 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1))) into 0 4.120 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 4.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.120 * [taylor]: Taking taylor expansion of x in x 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [backup-simplify]: Simplify (* 1 1) into 1 4.121 * [backup-simplify]: Simplify (/ 1 1) into 1 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [backup-simplify]: Simplify (* 2 1) into 2 4.121 * [backup-simplify]: Simplify 2 into 2 4.121 * [backup-simplify]: Simplify 1 into 1 4.122 * [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)))) 4.122 * * * [progress]: simplifying candidates 4.122 * [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)))) 4.122 * * [simplify]: Extracting # 0 : cost 0 4.122 * * [simplify]: Extracting # 1 : cost 0 4.122 * * [simplify]: Extracting # 2 : cost 0 4.122 * * [simplify]: Extracting # 3 : cost 0 4.122 * * [simplify]: Extracting # 4 : cost 0 4.122 * * [simplify]: Extracting # 5 : cost 0 4.125 * * [simplify]: Extracting # 6 : cost 0 4.125 * * [simplify]: iteration 0 : 22 enodes (cost 165 ) 4.130 * * [simplify]: Extracting # 0 : cost 0 4.130 * * [simplify]: Extracting # 1 : cost 0 4.130 * * [simplify]: Extracting # 2 : cost 0 4.130 * * [simplify]: Extracting # 3 : cost 0 4.130 * * [simplify]: Extracting # 4 : cost 0 4.130 * * [simplify]: iteration 1 : 42 enodes (cost 165 ) 4.142 * * [simplify]: Extracting # 0 : cost 0 4.142 * * [simplify]: Extracting # 1 : cost 0 4.142 * * [simplify]: Extracting # 2 : cost 0 4.142 * * [simplify]: Extracting # 3 : cost 0 4.143 * * [simplify]: iteration 2 : 100 enodes (cost 135 ) 4.167 * * [simplify]: Extracting # 0 : cost 0 4.168 * * [simplify]: Extracting # 1 : cost 0 4.168 * * [simplify]: Extracting # 2 : cost 0 4.169 * * [simplify]: Extracting # 3 : cost 0 4.169 * * [simplify]: Extracting # 4 : cost 0 4.169 * * [simplify]: iteration 3 : 323 enodes (cost 135 ) 4.434 * * [simplify]: Extracting # 0 : cost 0 4.436 * * [simplify]: Extracting # 1 : cost 0 4.438 * * [simplify]: Extracting # 2 : cost 0 4.440 * * [simplify]: Extracting # 3 : cost 0 4.442 * * [simplify]: Extracting # 4 : cost 0 4.443 * * [simplify]: iteration 4 : 1691 enodes (cost 135 ) 5.079 * * [simplify]: Extracting # 0 : cost 0 5.085 * * [simplify]: Extracting # 1 : cost 0 5.092 * * [simplify]: Extracting # 2 : cost 0 5.098 * * [simplify]: Extracting # 3 : cost 0 5.109 * * [simplify]: Extracting # 4 : cost 0 5.116 * * [simplify]: iteration done: 5001 enodes (cost 135 ) 5.116 * [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)) 5.116 * * * [progress]: adding candidates to table 5.148 * [progress]: [Phase 3 of 3] Extracting. 5.148 * * [regime]: Finding splitpoints for: (# #) 5.148 * * * [regime-changes]: Trying 2 branch expressions: (y x) 5.148 * * * * [regimes]: Trying to branch on y from (# #) 5.159 * * * * [regimes]: Trying to branch on x from (# #) 5.174 * * * [regime]: Found split indices: #