23.546 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (/ x (* y y)) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: Extracting # 1 : cost 0 0.020 * * [simplify]: Extracting # 2 : cost 0 0.020 * * [simplify]: Extracting # 3 : cost 0 0.020 * * [simplify]: Extracting # 4 : cost 0 0.020 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.021 * * [simplify]: iteration 1 : 6 enodes (cost 5 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: iteration done: 6 enodes (cost 5 ) 0.022 * [simplify]: Simplified to: (/ x (* y y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.039 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.039 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [backup-simplify]: Simplify x into x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [backup-simplify]: Simplify (* 1 1) into 1 0.039 * [backup-simplify]: Simplify (/ x 1) into x 0.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [backup-simplify]: Simplify y into y 0.039 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.039 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.039 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [backup-simplify]: Simplify y into y 0.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.040 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [backup-simplify]: Simplify (* 1 1) into 1 0.040 * [backup-simplify]: Simplify (/ 1 1) into 1 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.041 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.042 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.043 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.044 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.046 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.047 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.047 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [backup-simplify]: Simplify x into x 0.047 * [backup-simplify]: Simplify (* 1 1) into 1 0.047 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.047 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.048 * [backup-simplify]: Simplify y into y 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.048 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.048 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [backup-simplify]: Simplify y into y 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.048 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (* 1 1) into 1 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.054 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.054 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.054 * [taylor]: Taking taylor expansion of -1 in y 0.054 * [backup-simplify]: Simplify -1 into -1 0.054 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 0.054 * [backup-simplify]: Simplify (* 1 1) into 1 0.054 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.054 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.054 * [taylor]: Taking taylor expansion of -1 in x 0.054 * [backup-simplify]: Simplify -1 into -1 0.054 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [backup-simplify]: Simplify y into y 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.055 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.055 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.055 * [taylor]: Taking taylor expansion of -1 in x 0.055 * [backup-simplify]: Simplify -1 into -1 0.055 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [backup-simplify]: Simplify y into y 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.055 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.055 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.055 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of -1 in y 0.055 * [backup-simplify]: Simplify -1 into -1 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (* 1 1) into 1 0.056 * [backup-simplify]: Simplify (* -1 1) into -1 0.056 * [backup-simplify]: Simplify -1 into -1 0.056 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.058 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.060 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.063 * * * [progress]: simplifying candidates 0.064 * [simplify]: Simplifying: (- (log x) (+ (log y) (log y))) (- (log x) (log (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (/ (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (/ (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (- x) (- (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 0.064 * * [simplify]: Extracting # 0 : cost 0 0.064 * * [simplify]: Extracting # 1 : cost 0 0.064 * * [simplify]: Extracting # 2 : cost 0 0.064 * * [simplify]: Extracting # 3 : cost 0 0.064 * * [simplify]: Extracting # 4 : cost 0 0.064 * * [simplify]: Extracting # 5 : cost 0 0.064 * * [simplify]: iteration 0 : 43 enodes (cost 185 ) 0.078 * * [simplify]: Extracting # 0 : cost 0 0.079 * * [simplify]: Extracting # 1 : cost 0 0.079 * * [simplify]: Extracting # 2 : cost 0 0.079 * * [simplify]: iteration 1 : 91 enodes (cost 182 ) 0.108 * * [simplify]: Extracting # 0 : cost 0 0.108 * * [simplify]: Extracting # 1 : cost 0 0.108 * * [simplify]: Extracting # 2 : cost 0 0.108 * * [simplify]: Extracting # 3 : cost 0 0.109 * * [simplify]: Extracting # 4 : cost 0 0.109 * * [simplify]: iteration 2 : 230 enodes (cost 152 ) 0.194 * * [simplify]: Extracting # 0 : cost 0 0.195 * * [simplify]: Extracting # 1 : cost 0 0.195 * * [simplify]: Extracting # 2 : cost 0 0.196 * * [simplify]: Extracting # 3 : cost 0 0.196 * * [simplify]: Extracting # 4 : cost 0 0.196 * * [simplify]: iteration 3 : 526 enodes (cost 152 ) 0.641 * * [simplify]: Extracting # 0 : cost 0 0.643 * * [simplify]: Extracting # 1 : cost 0 0.643 * * [simplify]: Extracting # 2 : cost 0 0.644 * * [simplify]: Extracting # 3 : cost 0 0.644 * * [simplify]: Extracting # 4 : cost 0 0.645 * * [simplify]: iteration 4 : 907 enodes (cost 152 ) 2.383 * * [simplify]: Extracting # 0 : cost 0 2.386 * * [simplify]: Extracting # 1 : cost 0 2.395 * * [simplify]: Extracting # 2 : cost 0 2.397 * * [simplify]: Extracting # 3 : cost 0 2.400 * * [simplify]: iteration 5 : 2395 enodes (cost 152 ) 3.990 * * [simplify]: Extracting # 0 : cost 0 3.998 * * [simplify]: Extracting # 1 : cost 0 4.003 * * [simplify]: Extracting # 2 : cost 0 4.011 * * [simplify]: Extracting # 3 : cost 0 4.020 * * [simplify]: iteration done: 5001 enodes (cost 152 ) 4.020 * [simplify]: Simplified to: (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (exp (/ x (* y y))) (pow (/ x (* y y)) 3) (pow (/ x (* y y)) 3) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (pow (/ x (* y y)) 3) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (- x) (- (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 4.020 * * * [progress]: adding candidates to table 4.053 * * [progress]: iteration 2 / 4 4.053 * * * [progress]: picking best candidate 4.059 * * * * [pick]: Picked # 4.059 * * * [progress]: localizing error 4.063 * * * [progress]: generating rewritten candidates 4.063 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.082 * * * [progress]: generating series expansions 4.082 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.082 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 4.082 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 4.082 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.082 * [taylor]: Taking taylor expansion of x in y 4.082 * [backup-simplify]: Simplify x into x 4.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.082 * [taylor]: Taking taylor expansion of y in y 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.082 * [backup-simplify]: Simplify (* 1 1) into 1 4.083 * [backup-simplify]: Simplify (/ x 1) into x 4.083 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.083 * [taylor]: Taking taylor expansion of x in x 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.083 * [taylor]: Taking taylor expansion of y in x 4.083 * [backup-simplify]: Simplify y into y 4.083 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.083 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.083 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.083 * [taylor]: Taking taylor expansion of x in x 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.083 * [taylor]: Taking taylor expansion of y in x 4.083 * [backup-simplify]: Simplify y into y 4.083 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.083 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.083 * [taylor]: Taking taylor expansion of y in y 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (* 1 1) into 1 4.084 * [backup-simplify]: Simplify (/ 1 1) into 1 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.084 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.084 * [taylor]: Taking taylor expansion of 0 in y 4.084 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.086 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.086 * [taylor]: Taking taylor expansion of 0 in y 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.088 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.088 * [taylor]: Taking taylor expansion of 0 in y 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.090 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.090 * [taylor]: Taking taylor expansion of 0 in y 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 4.090 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 4.090 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 4.090 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.090 * [taylor]: Taking taylor expansion of y in y 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [taylor]: Taking taylor expansion of x in y 4.090 * [backup-simplify]: Simplify x into x 4.091 * [backup-simplify]: Simplify (* 1 1) into 1 4.091 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.091 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.091 * [taylor]: Taking taylor expansion of y in x 4.091 * [backup-simplify]: Simplify y into y 4.091 * [taylor]: Taking taylor expansion of x in x 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.091 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.091 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.091 * [taylor]: Taking taylor expansion of y in x 4.091 * [backup-simplify]: Simplify y into y 4.091 * [taylor]: Taking taylor expansion of x in x 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.091 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.091 * [taylor]: Taking taylor expansion of y in y 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (* 1 1) into 1 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 4.092 * [taylor]: Taking taylor expansion of 0 in y 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.094 * [taylor]: Taking taylor expansion of 0 in y 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.095 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.096 * [taylor]: Taking taylor expansion of 0 in y 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 4.097 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 4.097 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 4.097 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 4.097 * [taylor]: Taking taylor expansion of -1 in y 4.097 * [backup-simplify]: Simplify -1 into -1 4.097 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.097 * [taylor]: Taking taylor expansion of y in y 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.097 * [taylor]: Taking taylor expansion of x in y 4.097 * [backup-simplify]: Simplify x into x 4.097 * [backup-simplify]: Simplify (* 1 1) into 1 4.097 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.097 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 4.097 * [taylor]: Taking taylor expansion of -1 in x 4.097 * [backup-simplify]: Simplify -1 into -1 4.097 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.097 * [taylor]: Taking taylor expansion of y in x 4.097 * [backup-simplify]: Simplify y into y 4.097 * [taylor]: Taking taylor expansion of x in x 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.097 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.098 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.098 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 4.098 * [taylor]: Taking taylor expansion of -1 in x 4.098 * [backup-simplify]: Simplify -1 into -1 4.098 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.098 * [taylor]: Taking taylor expansion of y in x 4.098 * [backup-simplify]: Simplify y into y 4.098 * [taylor]: Taking taylor expansion of x in x 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.098 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.098 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 4.098 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 4.098 * [taylor]: Taking taylor expansion of -1 in y 4.098 * [backup-simplify]: Simplify -1 into -1 4.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.098 * [taylor]: Taking taylor expansion of y in y 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (* 1 1) into 1 4.099 * [backup-simplify]: Simplify (* -1 1) into -1 4.099 * [backup-simplify]: Simplify -1 into -1 4.099 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 4.100 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 4.100 * [taylor]: Taking taylor expansion of 0 in y 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.102 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.105 * [taylor]: Taking taylor expansion of 0 in y 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.107 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 4.107 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.111 * [taylor]: Taking taylor expansion of 0 in y 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 4.112 * * * [progress]: simplifying candidates 4.114 * [simplify]: Simplifying: (- (- (log x) (log y)) (log y)) (- (log (/ x y)) (log y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (/ (/ (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (/ (* (* (/ x y) (/ x y)) (/ x y)) (* (* y y) y)) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (* (* (/ (/ x y) y) (/ (/ x y) y)) (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- (/ x y)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) 1) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) 1) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (cbrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) 1) (/ (/ (cbrt x) (cbrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) 1) (/ (/ (cbrt x) (sqrt y)) y) (/ (/ (* (cbrt x) (cbrt x)) 1) (* (cbrt y) (cbrt y))) (/ (/ (cbrt x) y) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) (sqrt y)) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (* (cbrt x) (cbrt x)) 1) 1) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (sqrt x) (cbrt y)) (sqrt y)) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) 1) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) (sqrt y)) (/ (/ (sqrt x) (sqrt y)) 1) (/ (/ (sqrt x) (sqrt y)) y) (/ (/ (sqrt x) 1) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) 1) (sqrt y)) (/ (/ (sqrt x) y) (sqrt y)) (/ (/ (sqrt x) 1) 1) (/ (/ (sqrt x) y) y) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ x (cbrt y)) (sqrt y)) (/ (/ 1 (* (cbrt y) (cbrt y))) 1) (/ (/ x (cbrt y)) y) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ (/ 1 (sqrt y)) (sqrt y)) (/ (/ x (sqrt y)) (sqrt y)) (/ (/ 1 (sqrt y)) 1) (/ (/ x (sqrt y)) y) (/ (/ 1 1) (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 1) (sqrt y)) (/ (/ x y) (sqrt y)) (/ (/ 1 1) 1) (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (/ x y) (sqrt y)) (/ 1 1) (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 y) (sqrt y)) (/ x 1) (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ (/ x y) 1) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ y (/ (cbrt x) (cbrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ y (/ x (sqrt y))) (/ y (/ x y)) (/ y (/ x y)) (/ y (/ 1 y)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 4.117 * * [simplify]: Extracting # 0 : cost 0 4.118 * * [simplify]: Extracting # 1 : cost 0 4.118 * * [simplify]: Extracting # 2 : cost 0 4.118 * * [simplify]: Extracting # 3 : cost 0 4.119 * * [simplify]: Extracting # 4 : cost 0 4.119 * * [simplify]: Extracting # 5 : cost 0 4.119 * * [simplify]: Extracting # 6 : cost 0 4.120 * * [simplify]: iteration 0 : 140 enodes (cost 862 ) 4.168 * * [simplify]: Extracting # 0 : cost 0 4.169 * * [simplify]: Extracting # 1 : cost 0 4.169 * * [simplify]: Extracting # 2 : cost 0 4.170 * * [simplify]: iteration 1 : 303 enodes (cost 813 ) 4.304 * * [simplify]: Extracting # 0 : cost 0 4.305 * * [simplify]: Extracting # 1 : cost 0 4.306 * * [simplify]: Extracting # 2 : cost 0 4.307 * * [simplify]: Extracting # 3 : cost 0 4.308 * * [simplify]: Extracting # 4 : cost 0 4.309 * * [simplify]: iteration 2 : 622 enodes (cost 757 ) 4.597 * * [simplify]: Extracting # 0 : cost 0 4.599 * * [simplify]: Extracting # 1 : cost 0 4.600 * * [simplify]: Extracting # 2 : cost 0 4.601 * * [simplify]: Extracting # 3 : cost 0 4.602 * * [simplify]: Extracting # 4 : cost 0 4.603 * * [simplify]: iteration 3 : 1460 enodes (cost 745 ) 7.102 * * [simplify]: Extracting # 0 : cost 0 7.111 * * [simplify]: Extracting # 1 : cost 0 7.116 * * [simplify]: Extracting # 2 : cost 0 7.121 * * [simplify]: Extracting # 3 : cost 0 7.126 * * [simplify]: Extracting # 4 : cost 0 7.131 * * [simplify]: Extracting # 5 : cost 0 7.136 * * [simplify]: iteration 4 : 3796 enodes (cost 724 ) 9.237 * * [simplify]: Extracting # 0 : cost 0 9.245 * * [simplify]: Extracting # 1 : cost 0 9.253 * * [simplify]: Extracting # 2 : cost 0 9.261 * * [simplify]: iteration done: 5000 enodes (cost 721 ) 9.262 * [simplify]: Simplified to: (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (exp (/ (/ x y) y)) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ x (pow y 2)) 3) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) (- (/ x y)) (- y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt y)) (/ (cbrt (/ x y)) (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (/ x y)) (cbrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (sqrt (/ x y)) (/ (sqrt (/ x y)) y) (* (/ (cbrt x) y) (/ (cbrt x) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (* y (cbrt y))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (* (/ (cbrt x) y) (cbrt x)) (/ (cbrt x) y) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (pow y 3/2)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (* y (cbrt y))) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (pow y 3/2)) (* (cbrt x) (cbrt x)) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) y) (cbrt y)) (/ (/ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt x) (sqrt y)) (cbrt y)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (pow y 3/2)) (/ (/ (sqrt x) (cbrt y)) (cbrt y)) (/ (/ (sqrt x) y) (cbrt y)) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (pow y 3/2)) (sqrt x) (/ (/ (sqrt x) y) y) (/ (/ 1 y) (cbrt y)) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ x (pow y 3/2)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ x (pow y 3/2)) 1 (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x y) (cbrt y)) (/ 1 (sqrt y)) (/ x (pow y 3/2)) 1 (/ (/ x y) y) (/ (/ x (cbrt y)) (cbrt y)) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ 1 (pow y 3/2)) x (/ (/ 1 y) y) (/ 1 y) (* y (/ y x)) (/ x (pow (cbrt y) 5)) (/ x (pow y 3/2)) (/ x y) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (* (/ (cbrt y) (cbrt x)) y) (/ (pow y 3/2) (cbrt x)) (/ y (/ (cbrt x) y)) (/ y (/ (sqrt x) (cbrt y))) (/ (pow y 3/2) (sqrt x)) (/ y (/ (sqrt x) y)) (/ y (/ x (cbrt y))) (/ (pow y 3/2) x) (* y (/ y x)) (* y (/ y x)) (* y y) (* y y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 9.263 * * * [progress]: adding candidates to table 9.418 * * [progress]: iteration 3 / 4 9.418 * * * [progress]: picking best candidate 9.429 * * * * [pick]: Picked # 9.430 * * * [progress]: localizing error 9.440 * * * [progress]: generating rewritten candidates 9.440 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 9.500 * * * [progress]: generating series expansions 9.500 * * * * [progress]: [ 1 / 1 ] generating series at (2) 9.500 * [backup-simplify]: Simplify (* (/ x y) (/ 1 y)) into (/ x (pow y 2)) 9.500 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 9.500 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 9.500 * [taylor]: Taking taylor expansion of x in y 9.500 * [backup-simplify]: Simplify x into x 9.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.500 * [taylor]: Taking taylor expansion of y in y 9.500 * [backup-simplify]: Simplify 0 into 0 9.500 * [backup-simplify]: Simplify 1 into 1 9.501 * [backup-simplify]: Simplify (* 1 1) into 1 9.501 * [backup-simplify]: Simplify (/ x 1) into x 9.501 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 9.501 * [taylor]: Taking taylor expansion of x in x 9.501 * [backup-simplify]: Simplify 0 into 0 9.501 * [backup-simplify]: Simplify 1 into 1 9.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.501 * [taylor]: Taking taylor expansion of y in x 9.501 * [backup-simplify]: Simplify y into y 9.502 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.502 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.502 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 9.502 * [taylor]: Taking taylor expansion of x in x 9.502 * [backup-simplify]: Simplify 0 into 0 9.502 * [backup-simplify]: Simplify 1 into 1 9.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.502 * [taylor]: Taking taylor expansion of y in x 9.502 * [backup-simplify]: Simplify y into y 9.502 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.502 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.502 * [taylor]: Taking taylor expansion of y in y 9.502 * [backup-simplify]: Simplify 0 into 0 9.502 * [backup-simplify]: Simplify 1 into 1 9.503 * [backup-simplify]: Simplify (* 1 1) into 1 9.503 * [backup-simplify]: Simplify (/ 1 1) into 1 9.503 * [backup-simplify]: Simplify 1 into 1 9.503 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.504 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.504 * [taylor]: Taking taylor expansion of 0 in y 9.504 * [backup-simplify]: Simplify 0 into 0 9.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.505 * [backup-simplify]: Simplify 0 into 0 9.506 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.506 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.506 * [taylor]: Taking taylor expansion of 0 in y 9.506 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.508 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.510 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.510 * [taylor]: Taking taylor expansion of 0 in y 9.510 * [backup-simplify]: Simplify 0 into 0 9.510 * [backup-simplify]: Simplify 0 into 0 9.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.512 * [backup-simplify]: Simplify 0 into 0 9.513 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.514 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.514 * [taylor]: Taking taylor expansion of 0 in y 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 9.514 * [backup-simplify]: Simplify (* (/ (/ 1 x) (/ 1 y)) (/ 1 (/ 1 y))) into (/ (pow y 2) x) 9.514 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 9.514 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.514 * [taylor]: Taking taylor expansion of y in y 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify 1 into 1 9.514 * [taylor]: Taking taylor expansion of x in y 9.514 * [backup-simplify]: Simplify x into x 9.515 * [backup-simplify]: Simplify (* 1 1) into 1 9.515 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.515 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.515 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.515 * [taylor]: Taking taylor expansion of y in x 9.515 * [backup-simplify]: Simplify y into y 9.515 * [taylor]: Taking taylor expansion of x in x 9.515 * [backup-simplify]: Simplify 0 into 0 9.515 * [backup-simplify]: Simplify 1 into 1 9.516 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.516 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 9.516 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.516 * [taylor]: Taking taylor expansion of y in x 9.516 * [backup-simplify]: Simplify y into y 9.516 * [taylor]: Taking taylor expansion of x in x 9.516 * [backup-simplify]: Simplify 0 into 0 9.516 * [backup-simplify]: Simplify 1 into 1 9.516 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.516 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 9.516 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.516 * [taylor]: Taking taylor expansion of y in y 9.516 * [backup-simplify]: Simplify 0 into 0 9.516 * [backup-simplify]: Simplify 1 into 1 9.517 * [backup-simplify]: Simplify (* 1 1) into 1 9.517 * [backup-simplify]: Simplify 1 into 1 9.517 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 9.518 * [taylor]: Taking taylor expansion of 0 in y 9.518 * [backup-simplify]: Simplify 0 into 0 9.518 * [backup-simplify]: Simplify 0 into 0 9.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.518 * [backup-simplify]: Simplify 0 into 0 9.519 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.520 * [taylor]: Taking taylor expansion of 0 in y 9.520 * [backup-simplify]: Simplify 0 into 0 9.520 * [backup-simplify]: Simplify 0 into 0 9.521 * [backup-simplify]: Simplify 0 into 0 9.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.521 * [backup-simplify]: Simplify 0 into 0 9.522 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.525 * [taylor]: Taking taylor expansion of 0 in y 9.525 * [backup-simplify]: Simplify 0 into 0 9.525 * [backup-simplify]: Simplify 0 into 0 9.525 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 9.525 * [backup-simplify]: Simplify (* (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 9.525 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 9.525 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 9.525 * [taylor]: Taking taylor expansion of -1 in y 9.525 * [backup-simplify]: Simplify -1 into -1 9.525 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.525 * [taylor]: Taking taylor expansion of y in y 9.525 * [backup-simplify]: Simplify 0 into 0 9.526 * [backup-simplify]: Simplify 1 into 1 9.526 * [taylor]: Taking taylor expansion of x in y 9.526 * [backup-simplify]: Simplify x into x 9.526 * [backup-simplify]: Simplify (* 1 1) into 1 9.526 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.526 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 9.526 * [taylor]: Taking taylor expansion of -1 in x 9.526 * [backup-simplify]: Simplify -1 into -1 9.526 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.526 * [taylor]: Taking taylor expansion of y in x 9.526 * [backup-simplify]: Simplify y into y 9.526 * [taylor]: Taking taylor expansion of x in x 9.526 * [backup-simplify]: Simplify 0 into 0 9.526 * [backup-simplify]: Simplify 1 into 1 9.526 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.527 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 9.527 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 9.527 * [taylor]: Taking taylor expansion of -1 in x 9.527 * [backup-simplify]: Simplify -1 into -1 9.527 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.527 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.527 * [taylor]: Taking taylor expansion of y in x 9.527 * [backup-simplify]: Simplify y into y 9.527 * [taylor]: Taking taylor expansion of x in x 9.527 * [backup-simplify]: Simplify 0 into 0 9.527 * [backup-simplify]: Simplify 1 into 1 9.527 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.527 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 9.527 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 9.527 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 9.527 * [taylor]: Taking taylor expansion of -1 in y 9.527 * [backup-simplify]: Simplify -1 into -1 9.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.528 * [taylor]: Taking taylor expansion of y in y 9.528 * [backup-simplify]: Simplify 0 into 0 9.528 * [backup-simplify]: Simplify 1 into 1 9.528 * [backup-simplify]: Simplify (* 1 1) into 1 9.528 * [backup-simplify]: Simplify (* -1 1) into -1 9.528 * [backup-simplify]: Simplify -1 into -1 9.529 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 9.530 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 9.530 * [taylor]: Taking taylor expansion of 0 in y 9.530 * [backup-simplify]: Simplify 0 into 0 9.530 * [backup-simplify]: Simplify 0 into 0 9.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.532 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 9.532 * [backup-simplify]: Simplify 0 into 0 9.532 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 9.534 * [taylor]: Taking taylor expansion of 0 in y 9.534 * [backup-simplify]: Simplify 0 into 0 9.534 * [backup-simplify]: Simplify 0 into 0 9.535 * [backup-simplify]: Simplify 0 into 0 9.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.536 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 9.536 * [backup-simplify]: Simplify 0 into 0 9.537 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.540 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 9.540 * [taylor]: Taking taylor expansion of 0 in y 9.540 * [backup-simplify]: Simplify 0 into 0 9.540 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 9.541 * * * [progress]: simplifying candidates 9.542 * [simplify]: Simplifying: (* (/ x y) (/ 1 y)) (+ (- (log x) (log y)) (- (log y))) (+ (- (log x) (log y)) (- 0 (log y))) (+ (- (log x) (log y)) (- (log 1) (log y))) (+ (- (log x) (log y)) (log (/ 1 y))) (+ (log (/ x y)) (- (log y))) (+ (log (/ x y)) (- 0 (log y))) (+ (log (/ x y)) (- (log 1) (log y))) (+ (log (/ x y)) (log (/ 1 y))) (log (* (/ x y) (/ 1 y))) (exp (* (/ x y) (/ 1 y))) (* (/ (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (/ (* (* x x) x) (* (* y y) y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (/ (* (* 1 1) 1) (* (* y y) y))) (* (* (* (/ x y) (/ x y)) (/ x y)) (* (* (/ 1 y) (/ 1 y)) (/ 1 y))) (* (cbrt (* (/ x y) (/ 1 y))) (cbrt (* (/ x y) (/ 1 y)))) (cbrt (* (/ x y) (/ 1 y))) (* (* (* (/ x y) (/ 1 y)) (* (/ x y) (/ 1 y))) (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) (sqrt (* (/ x y) (/ 1 y))) (* x 1) (* y y) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (/ x y)) (/ (sqrt 1) (sqrt y))) (* (sqrt (/ x y)) (/ 1 (sqrt y))) (* (sqrt (/ x y)) (/ 1 (sqrt y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt 1) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ (sqrt 1) (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ 1 (sqrt y))) (* (/ (sqrt x) (sqrt y)) (/ 1 (sqrt y))) (* (/ x y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (/ x y) (sqrt (/ 1 y))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (* (/ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (/ x y) (/ (sqrt 1) (* (cbrt y) (cbrt y)))) (* (/ x y) (/ (sqrt 1) (sqrt y))) (* (/ x y) (/ (sqrt 1) 1)) (* (/ x y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ x y) (/ 1 (sqrt y))) (* (/ x y) (/ 1 1)) (* (/ x y) 1) (* (/ x y) 1) (* (cbrt (/ x y)) (/ 1 y)) (* (sqrt (/ x y)) (/ 1 y)) (* (/ (cbrt x) (cbrt y)) (/ 1 y)) (* (/ (cbrt x) (sqrt y)) (/ 1 y)) (* (/ (cbrt x) y) (/ 1 y)) (* (/ (sqrt x) (cbrt y)) (/ 1 y)) (* (/ (sqrt x) (sqrt y)) (/ 1 y)) (* (/ (sqrt x) y) (/ 1 y)) (* (/ x (cbrt y)) (/ 1 y)) (* (/ x (sqrt y)) (/ 1 y)) (* (/ x y) (/ 1 y)) (* (/ x y) (/ 1 y)) (* (/ 1 y) (/ 1 y)) (* (/ x y) 1) (* x (/ 1 y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 9.544 * * [simplify]: Extracting # 0 : cost 0 9.545 * * [simplify]: Extracting # 1 : cost 0 9.545 * * [simplify]: Extracting # 2 : cost 0 9.545 * * [simplify]: Extracting # 3 : cost 0 9.545 * * [simplify]: Extracting # 4 : cost 0 9.546 * * [simplify]: Extracting # 5 : cost 0 9.546 * * [simplify]: iteration 0 : 110 enodes (cost 633 ) 9.610 * * [simplify]: Extracting # 0 : cost 0 9.611 * * [simplify]: Extracting # 1 : cost 0 9.611 * * [simplify]: Extracting # 2 : cost 0 9.612 * * [simplify]: Extracting # 3 : cost 0 9.612 * * [simplify]: iteration 1 : 299 enodes (cost 514 ) 9.756 * * [simplify]: Extracting # 0 : cost 0 9.757 * * [simplify]: Extracting # 1 : cost 0 9.758 * * [simplify]: Extracting # 2 : cost 0 9.758 * * [simplify]: Extracting # 3 : cost 0 9.759 * * [simplify]: Extracting # 4 : cost 0 9.760 * * [simplify]: iteration 2 : 818 enodes (cost 414 ) 10.675 * * [simplify]: Extracting # 0 : cost 0 10.677 * * [simplify]: Extracting # 1 : cost 0 10.679 * * [simplify]: Extracting # 2 : cost 0 10.681 * * [simplify]: Extracting # 3 : cost 0 10.684 * * [simplify]: Extracting # 4 : cost 0 10.686 * * [simplify]: iteration 3 : 2010 enodes (cost 398 ) 16.625 * * [simplify]: Extracting # 0 : cost 0 16.637 * * [simplify]: Extracting # 1 : cost 0 16.641 * * [simplify]: Extracting # 2 : cost 0 16.647 * * [simplify]: Extracting # 3 : cost 0 16.654 * * [simplify]: Extracting # 4 : cost 0 16.660 * * [simplify]: iteration 4 : 4926 enodes (cost 392 ) 18.496 * * [simplify]: Extracting # 0 : cost 0 18.500 * * [simplify]: Extracting # 1 : cost 0 18.503 * * [simplify]: Extracting # 2 : cost 0 18.506 * * [simplify]: Extracting # 3 : cost 0 18.509 * * [simplify]: iteration done: 5000 enodes (cost 392 ) 18.510 * [simplify]: Simplified to: (/ x (pow y 2)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (* (cbrt (/ (/ x y) y)) (cbrt (/ (/ x y) y))) (cbrt (/ (/ x y) y)) (pow (/ x (pow y 2)) 3) (sqrt (/ (/ x y) y)) (sqrt (/ (/ x y) y)) x (pow y 2) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (* (sqrt (/ x y)) (sqrt (/ 1 y))) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (* (/ (sqrt x) (sqrt y)) (sqrt (/ 1 y))) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (* (/ x y) (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (* (/ x y) (sqrt (/ 1 y))) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (pow y 3/2)) (/ x y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (pow y 3/2)) (/ x y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (pow y 3/2)) (/ x y) (/ x y) (/ x y) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) y) (/ (/ (cbrt x) y) (cbrt y)) (/ (cbrt x) (pow y 3/2)) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) y) (cbrt y)) (/ (sqrt x) (pow y 3/2)) (/ (/ (sqrt x) y) y) (/ (/ x (cbrt y)) y) (/ x (pow y 3/2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ 1 (* y y)) (/ x y) (/ x y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 18.510 * * * [progress]: adding candidates to table 18.639 * * [progress]: iteration 4 / 4 18.639 * * * [progress]: picking best candidate 18.644 * * * * [pick]: Picked # 18.644 * * * [progress]: localizing error 18.650 * * * [progress]: generating rewritten candidates 18.650 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 18.683 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 18.712 * * * [progress]: generating series expansions 18.712 * * * * [progress]: [ 1 / 2 ] generating series at (2) 18.712 * [backup-simplify]: Simplify (/ 1 (* y (/ y x))) into (/ x (pow y 2)) 18.712 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 18.712 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 18.712 * [taylor]: Taking taylor expansion of x in x 18.713 * [backup-simplify]: Simplify 0 into 0 18.713 * [backup-simplify]: Simplify 1 into 1 18.713 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.713 * [taylor]: Taking taylor expansion of y in x 18.713 * [backup-simplify]: Simplify y into y 18.713 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.713 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.713 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 18.713 * [taylor]: Taking taylor expansion of x in y 18.713 * [backup-simplify]: Simplify x into x 18.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.713 * [taylor]: Taking taylor expansion of y in y 18.713 * [backup-simplify]: Simplify 0 into 0 18.713 * [backup-simplify]: Simplify 1 into 1 18.713 * [backup-simplify]: Simplify (* 1 1) into 1 18.713 * [backup-simplify]: Simplify (/ x 1) into x 18.713 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 18.713 * [taylor]: Taking taylor expansion of x in y 18.713 * [backup-simplify]: Simplify x into x 18.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.713 * [taylor]: Taking taylor expansion of y in y 18.713 * [backup-simplify]: Simplify 0 into 0 18.714 * [backup-simplify]: Simplify 1 into 1 18.714 * [backup-simplify]: Simplify (* 1 1) into 1 18.714 * [backup-simplify]: Simplify (/ x 1) into x 18.714 * [taylor]: Taking taylor expansion of x in x 18.714 * [backup-simplify]: Simplify 0 into 0 18.714 * [backup-simplify]: Simplify 1 into 1 18.714 * [backup-simplify]: Simplify 1 into 1 18.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 18.715 * [taylor]: Taking taylor expansion of 0 in x 18.715 * [backup-simplify]: Simplify 0 into 0 18.715 * [backup-simplify]: Simplify 0 into 0 18.715 * [backup-simplify]: Simplify 0 into 0 18.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.717 * [taylor]: Taking taylor expansion of 0 in x 18.717 * [backup-simplify]: Simplify 0 into 0 18.717 * [backup-simplify]: Simplify 0 into 0 18.717 * [backup-simplify]: Simplify 0 into 0 18.717 * [backup-simplify]: Simplify 0 into 0 18.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.719 * [taylor]: Taking taylor expansion of 0 in x 18.719 * [backup-simplify]: Simplify 0 into 0 18.719 * [backup-simplify]: Simplify 0 into 0 18.719 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 18.719 * [backup-simplify]: Simplify (/ 1 (* (/ 1 y) (/ (/ 1 y) (/ 1 x)))) into (/ (pow y 2) x) 18.719 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 18.719 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 18.719 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.719 * [taylor]: Taking taylor expansion of y in x 18.719 * [backup-simplify]: Simplify y into y 18.719 * [taylor]: Taking taylor expansion of x in x 18.719 * [backup-simplify]: Simplify 0 into 0 18.719 * [backup-simplify]: Simplify 1 into 1 18.719 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.719 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 18.719 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 18.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.719 * [taylor]: Taking taylor expansion of y in y 18.719 * [backup-simplify]: Simplify 0 into 0 18.719 * [backup-simplify]: Simplify 1 into 1 18.719 * [taylor]: Taking taylor expansion of x in y 18.719 * [backup-simplify]: Simplify x into x 18.720 * [backup-simplify]: Simplify (* 1 1) into 1 18.720 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 18.720 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 18.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.720 * [taylor]: Taking taylor expansion of y in y 18.720 * [backup-simplify]: Simplify 0 into 0 18.720 * [backup-simplify]: Simplify 1 into 1 18.720 * [taylor]: Taking taylor expansion of x in y 18.720 * [backup-simplify]: Simplify x into x 18.720 * [backup-simplify]: Simplify (* 1 1) into 1 18.720 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 18.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.721 * [taylor]: Taking taylor expansion of x in x 18.721 * [backup-simplify]: Simplify 0 into 0 18.721 * [backup-simplify]: Simplify 1 into 1 18.721 * [backup-simplify]: Simplify (/ 1 1) into 1 18.721 * [backup-simplify]: Simplify 1 into 1 18.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.721 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 18.721 * [taylor]: Taking taylor expansion of 0 in x 18.721 * [backup-simplify]: Simplify 0 into 0 18.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.722 * [backup-simplify]: Simplify 0 into 0 18.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.723 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 18.723 * [taylor]: Taking taylor expansion of 0 in x 18.723 * [backup-simplify]: Simplify 0 into 0 18.723 * [backup-simplify]: Simplify 0 into 0 18.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.723 * [backup-simplify]: Simplify 0 into 0 18.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.730 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 18.730 * [taylor]: Taking taylor expansion of 0 in x 18.730 * [backup-simplify]: Simplify 0 into 0 18.730 * [backup-simplify]: Simplify 0 into 0 18.730 * [backup-simplify]: Simplify 0 into 0 18.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.731 * [backup-simplify]: Simplify 0 into 0 18.731 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 18.732 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- y)) (/ (/ 1 (- y)) (/ 1 (- x))))) into (* -1 (/ (pow y 2) x)) 18.732 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 18.732 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 18.732 * [taylor]: Taking taylor expansion of -1 in x 18.732 * [backup-simplify]: Simplify -1 into -1 18.732 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 18.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.732 * [taylor]: Taking taylor expansion of y in x 18.732 * [backup-simplify]: Simplify y into y 18.732 * [taylor]: Taking taylor expansion of x in x 18.732 * [backup-simplify]: Simplify 0 into 0 18.732 * [backup-simplify]: Simplify 1 into 1 18.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.732 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 18.732 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 18.732 * [taylor]: Taking taylor expansion of -1 in y 18.732 * [backup-simplify]: Simplify -1 into -1 18.732 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 18.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.732 * [taylor]: Taking taylor expansion of y in y 18.732 * [backup-simplify]: Simplify 0 into 0 18.732 * [backup-simplify]: Simplify 1 into 1 18.732 * [taylor]: Taking taylor expansion of x in y 18.732 * [backup-simplify]: Simplify x into x 18.732 * [backup-simplify]: Simplify (* 1 1) into 1 18.732 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 18.732 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 18.732 * [taylor]: Taking taylor expansion of -1 in y 18.732 * [backup-simplify]: Simplify -1 into -1 18.732 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 18.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.732 * [taylor]: Taking taylor expansion of y in y 18.733 * [backup-simplify]: Simplify 0 into 0 18.733 * [backup-simplify]: Simplify 1 into 1 18.733 * [taylor]: Taking taylor expansion of x in y 18.733 * [backup-simplify]: Simplify x into x 18.733 * [backup-simplify]: Simplify (* 1 1) into 1 18.733 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 18.733 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 18.733 * [taylor]: Taking taylor expansion of (/ -1 x) in x 18.733 * [taylor]: Taking taylor expansion of -1 in x 18.733 * [backup-simplify]: Simplify -1 into -1 18.733 * [taylor]: Taking taylor expansion of x in x 18.733 * [backup-simplify]: Simplify 0 into 0 18.733 * [backup-simplify]: Simplify 1 into 1 18.733 * [backup-simplify]: Simplify (/ -1 1) into -1 18.733 * [backup-simplify]: Simplify -1 into -1 18.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.734 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 18.734 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 18.734 * [taylor]: Taking taylor expansion of 0 in x 18.734 * [backup-simplify]: Simplify 0 into 0 18.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.735 * [backup-simplify]: Simplify 0 into 0 18.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.737 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 18.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 18.737 * [taylor]: Taking taylor expansion of 0 in x 18.737 * [backup-simplify]: Simplify 0 into 0 18.738 * [backup-simplify]: Simplify 0 into 0 18.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.739 * [backup-simplify]: Simplify 0 into 0 18.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.740 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 18.741 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 18.741 * [taylor]: Taking taylor expansion of 0 in x 18.741 * [backup-simplify]: Simplify 0 into 0 18.741 * [backup-simplify]: Simplify 0 into 0 18.741 * [backup-simplify]: Simplify 0 into 0 18.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.742 * [backup-simplify]: Simplify 0 into 0 18.743 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 18.743 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 18.743 * [backup-simplify]: Simplify (* y (/ y x)) into (/ (pow y 2) x) 18.743 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 18.743 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 18.743 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.743 * [taylor]: Taking taylor expansion of y in x 18.743 * [backup-simplify]: Simplify y into y 18.743 * [taylor]: Taking taylor expansion of x in x 18.743 * [backup-simplify]: Simplify 0 into 0 18.743 * [backup-simplify]: Simplify 1 into 1 18.743 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.743 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 18.743 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 18.744 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.744 * [taylor]: Taking taylor expansion of y in y 18.744 * [backup-simplify]: Simplify 0 into 0 18.744 * [backup-simplify]: Simplify 1 into 1 18.744 * [taylor]: Taking taylor expansion of x in y 18.744 * [backup-simplify]: Simplify x into x 18.744 * [backup-simplify]: Simplify (* 1 1) into 1 18.744 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 18.744 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 18.744 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.744 * [taylor]: Taking taylor expansion of y in y 18.744 * [backup-simplify]: Simplify 0 into 0 18.744 * [backup-simplify]: Simplify 1 into 1 18.744 * [taylor]: Taking taylor expansion of x in y 18.744 * [backup-simplify]: Simplify x into x 18.745 * [backup-simplify]: Simplify (* 1 1) into 1 18.745 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 18.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 18.745 * [taylor]: Taking taylor expansion of x in x 18.745 * [backup-simplify]: Simplify 0 into 0 18.745 * [backup-simplify]: Simplify 1 into 1 18.745 * [backup-simplify]: Simplify (/ 1 1) into 1 18.745 * [backup-simplify]: Simplify 1 into 1 18.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.746 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 18.747 * [taylor]: Taking taylor expansion of 0 in x 18.747 * [backup-simplify]: Simplify 0 into 0 18.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.747 * [backup-simplify]: Simplify 0 into 0 18.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.748 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 18.748 * [taylor]: Taking taylor expansion of 0 in x 18.748 * [backup-simplify]: Simplify 0 into 0 18.748 * [backup-simplify]: Simplify 0 into 0 18.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.748 * [backup-simplify]: Simplify 0 into 0 18.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.749 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 18.749 * [taylor]: Taking taylor expansion of 0 in x 18.749 * [backup-simplify]: Simplify 0 into 0 18.749 * [backup-simplify]: Simplify 0 into 0 18.749 * [backup-simplify]: Simplify 0 into 0 18.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.750 * [backup-simplify]: Simplify 0 into 0 18.750 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 18.750 * [backup-simplify]: Simplify (* (/ 1 y) (/ (/ 1 y) (/ 1 x))) into (/ x (pow y 2)) 18.750 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 18.750 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 18.750 * [taylor]: Taking taylor expansion of x in x 18.750 * [backup-simplify]: Simplify 0 into 0 18.750 * [backup-simplify]: Simplify 1 into 1 18.750 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.750 * [taylor]: Taking taylor expansion of y in x 18.750 * [backup-simplify]: Simplify y into y 18.750 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.750 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.750 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 18.750 * [taylor]: Taking taylor expansion of x in y 18.750 * [backup-simplify]: Simplify x into x 18.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.750 * [taylor]: Taking taylor expansion of y in y 18.750 * [backup-simplify]: Simplify 0 into 0 18.750 * [backup-simplify]: Simplify 1 into 1 18.751 * [backup-simplify]: Simplify (* 1 1) into 1 18.751 * [backup-simplify]: Simplify (/ x 1) into x 18.751 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 18.751 * [taylor]: Taking taylor expansion of x in y 18.751 * [backup-simplify]: Simplify x into x 18.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.751 * [taylor]: Taking taylor expansion of y in y 18.751 * [backup-simplify]: Simplify 0 into 0 18.751 * [backup-simplify]: Simplify 1 into 1 18.751 * [backup-simplify]: Simplify (* 1 1) into 1 18.751 * [backup-simplify]: Simplify (/ x 1) into x 18.751 * [taylor]: Taking taylor expansion of x in x 18.751 * [backup-simplify]: Simplify 0 into 0 18.751 * [backup-simplify]: Simplify 1 into 1 18.751 * [backup-simplify]: Simplify 1 into 1 18.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 18.752 * [taylor]: Taking taylor expansion of 0 in x 18.752 * [backup-simplify]: Simplify 0 into 0 18.752 * [backup-simplify]: Simplify 0 into 0 18.752 * [backup-simplify]: Simplify 0 into 0 18.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.753 * [taylor]: Taking taylor expansion of 0 in x 18.753 * [backup-simplify]: Simplify 0 into 0 18.754 * [backup-simplify]: Simplify 0 into 0 18.754 * [backup-simplify]: Simplify 0 into 0 18.754 * [backup-simplify]: Simplify 0 into 0 18.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.755 * [taylor]: Taking taylor expansion of 0 in x 18.755 * [backup-simplify]: Simplify 0 into 0 18.755 * [backup-simplify]: Simplify 0 into 0 18.755 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 18.756 * [backup-simplify]: Simplify (* (/ 1 (- y)) (/ (/ 1 (- y)) (/ 1 (- x)))) into (* -1 (/ x (pow y 2))) 18.756 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 18.756 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 18.756 * [taylor]: Taking taylor expansion of -1 in x 18.756 * [backup-simplify]: Simplify -1 into -1 18.756 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 18.756 * [taylor]: Taking taylor expansion of x in x 18.756 * [backup-simplify]: Simplify 0 into 0 18.756 * [backup-simplify]: Simplify 1 into 1 18.756 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.756 * [taylor]: Taking taylor expansion of y in x 18.756 * [backup-simplify]: Simplify y into y 18.756 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.756 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.756 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 18.756 * [taylor]: Taking taylor expansion of -1 in y 18.756 * [backup-simplify]: Simplify -1 into -1 18.756 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 18.756 * [taylor]: Taking taylor expansion of x in y 18.756 * [backup-simplify]: Simplify x into x 18.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.756 * [taylor]: Taking taylor expansion of y in y 18.756 * [backup-simplify]: Simplify 0 into 0 18.756 * [backup-simplify]: Simplify 1 into 1 18.756 * [backup-simplify]: Simplify (* 1 1) into 1 18.756 * [backup-simplify]: Simplify (/ x 1) into x 18.756 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 18.756 * [taylor]: Taking taylor expansion of -1 in y 18.756 * [backup-simplify]: Simplify -1 into -1 18.757 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 18.757 * [taylor]: Taking taylor expansion of x in y 18.757 * [backup-simplify]: Simplify x into x 18.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.757 * [taylor]: Taking taylor expansion of y in y 18.757 * [backup-simplify]: Simplify 0 into 0 18.757 * [backup-simplify]: Simplify 1 into 1 18.757 * [backup-simplify]: Simplify (* 1 1) into 1 18.757 * [backup-simplify]: Simplify (/ x 1) into x 18.757 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 18.757 * [taylor]: Taking taylor expansion of (* -1 x) in x 18.757 * [taylor]: Taking taylor expansion of -1 in x 18.757 * [backup-simplify]: Simplify -1 into -1 18.757 * [taylor]: Taking taylor expansion of x in x 18.757 * [backup-simplify]: Simplify 0 into 0 18.757 * [backup-simplify]: Simplify 1 into 1 18.757 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 18.757 * [backup-simplify]: Simplify -1 into -1 18.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 18.759 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 18.759 * [taylor]: Taking taylor expansion of 0 in x 18.759 * [backup-simplify]: Simplify 0 into 0 18.759 * [backup-simplify]: Simplify 0 into 0 18.759 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 18.759 * [backup-simplify]: Simplify 0 into 0 18.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 18.761 * [taylor]: Taking taylor expansion of 0 in x 18.761 * [backup-simplify]: Simplify 0 into 0 18.761 * [backup-simplify]: Simplify 0 into 0 18.761 * [backup-simplify]: Simplify 0 into 0 18.762 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.762 * [backup-simplify]: Simplify 0 into 0 18.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.764 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 18.764 * [taylor]: Taking taylor expansion of 0 in x 18.764 * [backup-simplify]: Simplify 0 into 0 18.764 * [backup-simplify]: Simplify 0 into 0 18.764 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 18.764 * * * [progress]: simplifying candidates 18.765 * [simplify]: Simplifying: (- 1) (- 1) (- (+ (log y) (- (log y) (log x)))) (- (+ (log y) (log (/ y x)))) (- (log (* y (/ y x)))) (- 0 (+ (log y) (- (log y) (log x)))) (- 0 (+ (log y) (log (/ y x)))) (- 0 (log (* y (/ y x)))) (- (log 1) (+ (log y) (- (log y) (log x)))) (- (log 1) (+ (log y) (log (/ y x)))) (- (log 1) (log (* y (/ y x)))) (log (/ 1 (* y (/ y x)))) (exp (/ 1 (* y (/ y x)))) (/ (* (* 1 1) 1) (* (* (* y y) y) (/ (* (* y y) y) (* (* x x) x)))) (/ (* (* 1 1) 1) (* (* (* y y) y) (* (* (/ y x) (/ y x)) (/ y x)))) (/ (* (* 1 1) 1) (* (* (* y (/ y x)) (* y (/ y x))) (* y (/ y x)))) (* (cbrt (/ 1 (* y (/ y x)))) (cbrt (/ 1 (* y (/ y x))))) (cbrt (/ 1 (* y (/ y x)))) (* (* (/ 1 (* y (/ y x))) (/ 1 (* y (/ y x)))) (/ 1 (* y (/ y x)))) (sqrt (/ 1 (* y (/ y x)))) (sqrt (/ 1 (* y (/ y x)))) (- 1) (- (* y (/ y x))) (/ (* (cbrt 1) (cbrt 1)) y) (/ (cbrt 1) (/ y x)) (/ (sqrt 1) y) (/ (sqrt 1) (/ y x)) (/ 1 y) (/ 1 (/ y x)) (/ 1 (* y (/ y x))) (/ (* y (/ y x)) 1) (/ 1 y) (/ (* y (/ y x)) (cbrt 1)) (/ (* y (/ y x)) (sqrt 1)) (/ (* y (/ y x)) 1) (/ 1 (* y y)) (* y (/ y x)) (+ (log y) (- (log y) (log x))) (+ (log y) (log (/ y x))) (log (* y (/ y x))) (exp (* y (/ y x))) (* (* (* y y) y) (/ (* (* y y) y) (* (* x x) x))) (* (* (* y y) y) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* y (/ y x))) (cbrt (* y (/ y x)))) (cbrt (* y (/ y x))) (* (* (* y (/ y x)) (* y (/ y x))) (* y (/ y x))) (sqrt (* y (/ y x))) (sqrt (* y (/ y x))) (* (sqrt y) (sqrt (/ y x))) (* (sqrt y) (sqrt (/ y x))) (* (sqrt y) (/ (sqrt y) (sqrt x))) (* (sqrt y) (/ (sqrt y) (sqrt x))) (* y (* (cbrt (/ y x)) (cbrt (/ y x)))) (* y (sqrt (/ y x))) (* y (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* y (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* y (/ (* (cbrt y) (cbrt y)) 1)) (* y (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt y) (sqrt x))) (* y (/ (sqrt y) 1)) (* y (/ 1 (* (cbrt x) (cbrt x)))) (* y (/ 1 (sqrt x))) (* y (/ 1 1)) (* y 1) (* y y) (* (cbrt y) (/ y x)) (* (sqrt y) (/ y x)) (* y (/ y x)) (* y y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 18.767 * * [simplify]: Extracting # 0 : cost 0 18.767 * * [simplify]: Extracting # 1 : cost 0 18.767 * * [simplify]: Extracting # 2 : cost 0 18.767 * * [simplify]: Extracting # 3 : cost 0 18.767 * * [simplify]: Extracting # 4 : cost 0 18.767 * * [simplify]: Extracting # 5 : cost 0 18.767 * * [simplify]: iteration 0 : 104 enodes (cost 610 ) 18.815 * * [simplify]: Extracting # 0 : cost 0 18.816 * * [simplify]: Extracting # 1 : cost 0 18.816 * * [simplify]: Extracting # 2 : cost 0 18.817 * * [simplify]: iteration 1 : 240 enodes (cost 542 ) 18.941 * * [simplify]: Extracting # 0 : cost 0 18.943 * * [simplify]: Extracting # 1 : cost 0 18.949 * * [simplify]: Extracting # 2 : cost 0 18.950 * * [simplify]: Extracting # 3 : cost 0 18.952 * * [simplify]: Extracting # 4 : cost 0 18.953 * * [simplify]: Extracting # 5 : cost 0 18.954 * * [simplify]: iteration 2 : 623 enodes (cost 460 ) 19.643 * * [simplify]: Extracting # 0 : cost 0 19.647 * * [simplify]: Extracting # 1 : cost 0 19.650 * * [simplify]: Extracting # 2 : cost 0 19.653 * * [simplify]: Extracting # 3 : cost 0 19.656 * * [simplify]: Extracting # 4 : cost 0 19.659 * * [simplify]: Extracting # 5 : cost 0 19.662 * * [simplify]: iteration 3 : 1866 enodes (cost 422 ) 25.007 * * [simplify]: Extracting # 0 : cost 0 25.013 * * [simplify]: Extracting # 1 : cost 0 25.015 * * [simplify]: Extracting # 2 : cost 0 25.017 * * [simplify]: Extracting # 3 : cost 0 25.019 * * [simplify]: Extracting # 4 : cost 0 25.021 * * [simplify]: iteration 4 : 4524 enodes (cost 418 ) 26.103 * * [simplify]: Extracting # 0 : cost 0 26.109 * * [simplify]: Extracting # 1 : cost 0 26.112 * * [simplify]: Extracting # 2 : cost 0 26.114 * * [simplify]: iteration done: 5001 enodes (cost 418 ) 26.115 * [simplify]: Simplified to: -1 -1 (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (exp (/ x (pow y 2))) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (pow (/ x (pow y 2)) 3) (* (cbrt (/ x (pow y 2))) (cbrt (/ x (pow y 2)))) (cbrt (/ x (pow y 2))) (pow (/ x (pow y 2)) 3) (sqrt (/ x (pow y 2))) (sqrt (/ x (pow y 2))) -1 (- (* y (/ y x))) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ x (pow y 2)) (/ (* y y) x) (/ 1 y) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) (/ (/ 1 y) y) (/ (* y y) x) (log (/ (pow y 2) x)) (log (/ (pow y 2) x)) (log (/ (pow y 2) x)) (exp (* y (/ y x))) (pow (/ (* y y) x) 3) (pow (/ (* y y) x) 3) (* (cbrt (* y (/ y x))) (cbrt (* y (/ y x)))) (cbrt (* y (/ y x))) (pow (/ (* y y) x) 3) (sqrt (* y (/ y x))) (sqrt (* y (/ y x))) (* (sqrt y) (sqrt (/ y x))) (* (sqrt y) (sqrt (/ y x))) (/ y (sqrt x)) (/ y (sqrt x)) (* y (* (cbrt (/ y x)) (cbrt (/ y x)))) (* y (sqrt (/ y x))) (* y (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* y (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* y (* (cbrt y) (cbrt y))) (/ (pow y 3/2) (* (cbrt x) (cbrt x))) (/ (pow y 3/2) (sqrt x)) (pow y 3/2) (/ y (* (cbrt x) (cbrt x))) (/ y (sqrt x)) y y (pow y 2) (* (cbrt y) (/ y x)) (/ (pow y 3/2) x) (/ (* y y) x) (pow y 2) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) 26.115 * * * [progress]: adding candidates to table 26.224 * [progress]: [Phase 3 of 3] Extracting. 26.224 * * [regime]: Finding splitpoints for: (# # # # # # # #) 26.225 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (/ x (* y y)) y x) 26.225 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 26.245 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # # # #) 26.571 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 26.602 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 26.639 * * * [regime]: Found split indices: #