13.816 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (/ x (* y y)) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.019 * * [simplify]: Extracting # 1 : cost 0 0.019 * * [simplify]: Extracting # 2 : cost 0 0.019 * * [simplify]: Extracting # 3 : cost 0 0.019 * * [simplify]: Extracting # 4 : cost 0 0.019 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: Extracting # 1 : cost 0 0.020 * * [simplify]: Extracting # 2 : cost 0 0.020 * * [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)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.041 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [backup-simplify]: Simplify x into x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [backup-simplify]: Simplify 0 into 0 0.041 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify (* 1 1) into 1 0.047 * [backup-simplify]: Simplify (/ x 1) into x 0.047 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.047 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.047 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.047 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 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 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.051 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.054 * [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 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.057 * [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 0.057 * [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 0 into 0 0.057 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.057 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.057 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [backup-simplify]: Simplify x into x 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.058 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.058 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.058 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.058 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.065 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.065 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.065 * [taylor]: Taking taylor expansion of -1 in y 0.065 * [backup-simplify]: Simplify -1 into -1 0.065 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [backup-simplify]: Simplify x into x 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.066 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [backup-simplify]: Simplify -1 into -1 0.066 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.066 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.066 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [backup-simplify]: Simplify -1 into -1 0.066 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.066 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.067 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.067 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of -1 in y 0.067 * [backup-simplify]: Simplify -1 into -1 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (* 1 1) into 1 0.067 * [backup-simplify]: Simplify (* -1 1) into -1 0.067 * [backup-simplify]: Simplify -1 into -1 0.067 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.070 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.074 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.077 * * * [progress]: simplifying candidates 0.078 * [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)) 0.079 * * [simplify]: Extracting # 0 : cost 0 0.079 * * [simplify]: Extracting # 1 : cost 0 0.079 * * [simplify]: Extracting # 2 : cost 0 0.079 * * [simplify]: Extracting # 3 : cost 0 0.079 * * [simplify]: Extracting # 4 : cost 0 0.079 * * [simplify]: Extracting # 5 : cost 0 0.079 * * [simplify]: iteration 0 : 43 enodes (cost 185 ) 0.091 * * [simplify]: Extracting # 0 : cost 0 0.091 * * [simplify]: Extracting # 1 : cost 0 0.091 * * [simplify]: Extracting # 2 : cost 0 0.091 * * [simplify]: iteration 1 : 91 enodes (cost 182 ) 0.127 * * [simplify]: Extracting # 0 : cost 0 0.128 * * [simplify]: Extracting # 1 : cost 0 0.129 * * [simplify]: Extracting # 2 : cost 0 0.129 * * [simplify]: Extracting # 3 : cost 0 0.129 * * [simplify]: Extracting # 4 : cost 0 0.129 * * [simplify]: iteration 2 : 230 enodes (cost 152 ) 0.247 * * [simplify]: Extracting # 0 : cost 0 0.248 * * [simplify]: Extracting # 1 : cost 0 0.249 * * [simplify]: Extracting # 2 : cost 0 0.249 * * [simplify]: Extracting # 3 : cost 0 0.250 * * [simplify]: Extracting # 4 : cost 0 0.251 * * [simplify]: iteration 3 : 526 enodes (cost 152 ) 0.760 * * [simplify]: Extracting # 0 : cost 0 0.762 * * [simplify]: Extracting # 1 : cost 0 0.763 * * [simplify]: Extracting # 2 : cost 0 0.764 * * [simplify]: Extracting # 3 : cost 0 0.765 * * [simplify]: Extracting # 4 : cost 0 0.771 * * [simplify]: iteration 4 : 907 enodes (cost 152 ) 2.329 * * [simplify]: Extracting # 0 : cost 0 2.331 * * [simplify]: Extracting # 1 : cost 0 2.333 * * [simplify]: Extracting # 2 : cost 0 2.334 * * [simplify]: Extracting # 3 : cost 0 2.336 * * [simplify]: iteration 5 : 2395 enodes (cost 152 ) 4.276 * * [simplify]: Extracting # 0 : cost 0 4.292 * * [simplify]: Extracting # 1 : cost 0 4.299 * * [simplify]: Extracting # 2 : cost 0 4.305 * * [simplify]: Extracting # 3 : cost 0 4.312 * * [simplify]: iteration done: 5001 enodes (cost 152 ) 4.312 * [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)) 4.312 * * * [progress]: adding candidates to table 4.358 * * [progress]: iteration 2 / 4 4.358 * * * [progress]: picking best candidate 4.366 * * * * [pick]: Picked # 4.366 * * * [progress]: localizing error 4.371 * * * [progress]: generating rewritten candidates 4.371 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.391 * * * [progress]: generating series expansions 4.391 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.391 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 4.391 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 4.391 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 4.391 * [taylor]: Taking taylor expansion of x in y 4.391 * [backup-simplify]: Simplify x into x 4.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.391 * [taylor]: Taking taylor expansion of y in y 4.391 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify 1 into 1 4.392 * [backup-simplify]: Simplify (* 1 1) into 1 4.392 * [backup-simplify]: Simplify (/ x 1) into x 4.392 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.392 * [taylor]: Taking taylor expansion of x in x 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.392 * [taylor]: Taking taylor expansion of y in x 4.392 * [backup-simplify]: Simplify y into y 4.392 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.392 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.392 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 4.392 * [taylor]: Taking taylor expansion of x in x 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.392 * [taylor]: Taking taylor expansion of y in x 4.392 * [backup-simplify]: Simplify y into y 4.392 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.392 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.393 * [taylor]: Taking taylor expansion of y in y 4.393 * [backup-simplify]: Simplify 0 into 0 4.393 * [backup-simplify]: Simplify 1 into 1 4.393 * [backup-simplify]: Simplify (* 1 1) into 1 4.393 * [backup-simplify]: Simplify (/ 1 1) into 1 4.393 * [backup-simplify]: Simplify 1 into 1 4.393 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.393 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.393 * [taylor]: Taking taylor expansion of 0 in y 4.393 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.394 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.395 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.395 * [taylor]: Taking taylor expansion of 0 in y 4.395 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.396 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.397 * [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 4.397 * [taylor]: Taking taylor expansion of 0 in y 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.400 * [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 4.400 * [taylor]: Taking taylor expansion of 0 in y 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 4.400 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 4.400 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 4.400 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.400 * [taylor]: Taking taylor expansion of y in y 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.400 * [taylor]: Taking taylor expansion of x in y 4.400 * [backup-simplify]: Simplify x into x 4.400 * [backup-simplify]: Simplify (* 1 1) into 1 4.400 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.400 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.400 * [taylor]: Taking taylor expansion of y in x 4.400 * [backup-simplify]: Simplify y into y 4.400 * [taylor]: Taking taylor expansion of x in x 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.400 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.401 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.401 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.401 * [taylor]: Taking taylor expansion of y in x 4.401 * [backup-simplify]: Simplify y into y 4.401 * [taylor]: Taking taylor expansion of x in x 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.401 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.401 * [taylor]: Taking taylor expansion of y in y 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (* 1 1) into 1 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 4.402 * [taylor]: Taking taylor expansion of 0 in y 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.402 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.403 * [taylor]: Taking taylor expansion of 0 in y 4.403 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.406 * [taylor]: Taking taylor expansion of 0 in y 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 4.406 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 4.406 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 4.406 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 4.406 * [taylor]: Taking taylor expansion of -1 in y 4.406 * [backup-simplify]: Simplify -1 into -1 4.406 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 4.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.406 * [taylor]: Taking taylor expansion of y in y 4.406 * [backup-simplify]: Simplify 0 into 0 4.406 * [backup-simplify]: Simplify 1 into 1 4.406 * [taylor]: Taking taylor expansion of x in y 4.406 * [backup-simplify]: Simplify x into x 4.407 * [backup-simplify]: Simplify (* 1 1) into 1 4.407 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.407 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 4.407 * [taylor]: Taking taylor expansion of -1 in x 4.407 * [backup-simplify]: Simplify -1 into -1 4.407 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.407 * [taylor]: Taking taylor expansion of y in x 4.407 * [backup-simplify]: Simplify y into y 4.407 * [taylor]: Taking taylor expansion of x in x 4.407 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify 1 into 1 4.407 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.407 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.407 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 4.407 * [taylor]: Taking taylor expansion of -1 in x 4.407 * [backup-simplify]: Simplify -1 into -1 4.407 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 4.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.407 * [taylor]: Taking taylor expansion of y in x 4.407 * [backup-simplify]: Simplify y into y 4.407 * [taylor]: Taking taylor expansion of x in x 4.407 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify 1 into 1 4.407 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.407 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 4.407 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 4.407 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 4.407 * [taylor]: Taking taylor expansion of -1 in y 4.407 * [backup-simplify]: Simplify -1 into -1 4.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.408 * [taylor]: Taking taylor expansion of y in y 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 1 into 1 4.408 * [backup-simplify]: Simplify (* 1 1) into 1 4.408 * [backup-simplify]: Simplify (* -1 1) into -1 4.408 * [backup-simplify]: Simplify -1 into -1 4.408 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 4.410 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 4.410 * [taylor]: Taking taylor expansion of 0 in y 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.411 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.413 * [taylor]: Taking taylor expansion of 0 in y 4.413 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 4.415 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.419 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.419 * [taylor]: Taking taylor expansion of 0 in y 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 4.419 * * * [progress]: simplifying candidates 4.420 * [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)) 4.423 * * [simplify]: Extracting # 0 : cost 0 4.423 * * [simplify]: Extracting # 1 : cost 0 4.423 * * [simplify]: Extracting # 2 : cost 0 4.424 * * [simplify]: Extracting # 3 : cost 0 4.424 * * [simplify]: Extracting # 4 : cost 0 4.424 * * [simplify]: Extracting # 5 : cost 0 4.425 * * [simplify]: Extracting # 6 : cost 0 4.425 * * [simplify]: iteration 0 : 140 enodes (cost 862 ) 4.465 * * [simplify]: Extracting # 0 : cost 0 4.466 * * [simplify]: Extracting # 1 : cost 0 4.466 * * [simplify]: Extracting # 2 : cost 0 4.466 * * [simplify]: iteration 1 : 303 enodes (cost 813 ) 4.552 * * [simplify]: Extracting # 0 : cost 0 4.553 * * [simplify]: Extracting # 1 : cost 0 4.554 * * [simplify]: Extracting # 2 : cost 0 4.555 * * [simplify]: Extracting # 3 : cost 0 4.556 * * [simplify]: Extracting # 4 : cost 0 4.556 * * [simplify]: iteration 2 : 622 enodes (cost 757 ) 4.860 * * [simplify]: Extracting # 0 : cost 0 4.862 * * [simplify]: Extracting # 1 : cost 0 4.864 * * [simplify]: Extracting # 2 : cost 0 4.865 * * [simplify]: Extracting # 3 : cost 0 4.867 * * [simplify]: Extracting # 4 : cost 0 4.868 * * [simplify]: iteration 3 : 1460 enodes (cost 745 ) 7.275 * * [simplify]: Extracting # 0 : cost 0 7.282 * * [simplify]: Extracting # 1 : cost 0 7.286 * * [simplify]: Extracting # 2 : cost 0 7.295 * * [simplify]: Extracting # 3 : cost 0 7.299 * * [simplify]: Extracting # 4 : cost 0 7.302 * * [simplify]: Extracting # 5 : cost 0 7.306 * * [simplify]: iteration 4 : 3796 enodes (cost 724 ) 8.796 * * [simplify]: Extracting # 0 : cost 0 8.800 * * [simplify]: Extracting # 1 : cost 0 8.804 * * [simplify]: Extracting # 2 : cost 0 8.808 * * [simplify]: iteration done: 5000 enodes (cost 721 ) 8.809 * [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) 8.809 * * * [progress]: adding candidates to table 8.962 * * [progress]: iteration 3 / 4 8.962 * * * [progress]: picking best candidate 8.970 * * * * [pick]: Picked # 8.970 * * * [progress]: localizing error 8.977 * * * [progress]: generating rewritten candidates 8.977 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 9.016 * * * [progress]: generating series expansions 9.016 * * * * [progress]: [ 1 / 1 ] generating series at (2) 9.016 * [backup-simplify]: Simplify (* (/ 1 y) (/ x y)) into (/ x (pow y 2)) 9.016 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 9.017 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 9.017 * [taylor]: Taking taylor expansion of x in x 9.017 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify 1 into 1 9.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.017 * [taylor]: Taking taylor expansion of y in x 9.017 * [backup-simplify]: Simplify y into y 9.017 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.017 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.017 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 9.017 * [taylor]: Taking taylor expansion of x in y 9.017 * [backup-simplify]: Simplify x into x 9.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.017 * [taylor]: Taking taylor expansion of y in y 9.017 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify 1 into 1 9.017 * [backup-simplify]: Simplify (* 1 1) into 1 9.017 * [backup-simplify]: Simplify (/ x 1) into x 9.017 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 9.017 * [taylor]: Taking taylor expansion of x in y 9.017 * [backup-simplify]: Simplify x into x 9.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.018 * [taylor]: Taking taylor expansion of y in y 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify 1 into 1 9.018 * [backup-simplify]: Simplify (* 1 1) into 1 9.018 * [backup-simplify]: Simplify (/ x 1) into x 9.018 * [taylor]: Taking taylor expansion of x in x 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify 1 into 1 9.018 * [backup-simplify]: Simplify 1 into 1 9.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 9.019 * [taylor]: Taking taylor expansion of 0 in x 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.020 * [taylor]: Taking taylor expansion of 0 in x 9.020 * [backup-simplify]: Simplify 0 into 0 9.020 * [backup-simplify]: Simplify 0 into 0 9.020 * [backup-simplify]: Simplify 0 into 0 9.020 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.022 * [taylor]: Taking taylor expansion of 0 in x 9.023 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 9.023 * [backup-simplify]: Simplify (* (/ 1 (/ 1 y)) (/ (/ 1 x) (/ 1 y))) into (/ (pow y 2) x) 9.023 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 9.023 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.023 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.023 * [taylor]: Taking taylor expansion of y in x 9.023 * [backup-simplify]: Simplify y into y 9.023 * [taylor]: Taking taylor expansion of x in x 9.023 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify 1 into 1 9.023 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.023 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 9.023 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.023 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.023 * [taylor]: Taking taylor expansion of y in y 9.023 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify 1 into 1 9.023 * [taylor]: Taking taylor expansion of x in y 9.023 * [backup-simplify]: Simplify x into x 9.024 * [backup-simplify]: Simplify (* 1 1) into 1 9.024 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.024 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.024 * [taylor]: Taking taylor expansion of y in y 9.024 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify 1 into 1 9.024 * [taylor]: Taking taylor expansion of x in y 9.024 * [backup-simplify]: Simplify x into x 9.024 * [backup-simplify]: Simplify (* 1 1) into 1 9.024 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 9.024 * [taylor]: Taking taylor expansion of x in x 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (/ 1 1) into 1 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.026 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 9.026 * [taylor]: Taking taylor expansion of 0 in x 9.026 * [backup-simplify]: Simplify 0 into 0 9.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.026 * [backup-simplify]: Simplify 0 into 0 9.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.027 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.027 * [taylor]: Taking taylor expansion of 0 in x 9.027 * [backup-simplify]: Simplify 0 into 0 9.027 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.028 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.029 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.029 * [taylor]: Taking taylor expansion of 0 in x 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 9.030 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- y))) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 9.030 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 9.030 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 9.030 * [taylor]: Taking taylor expansion of -1 in x 9.031 * [backup-simplify]: Simplify -1 into -1 9.031 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 9.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.031 * [taylor]: Taking taylor expansion of y in x 9.031 * [backup-simplify]: Simplify y into y 9.031 * [taylor]: Taking taylor expansion of x in x 9.031 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify 1 into 1 9.031 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.031 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 9.031 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 9.031 * [taylor]: Taking taylor expansion of -1 in y 9.031 * [backup-simplify]: Simplify -1 into -1 9.031 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.031 * [taylor]: Taking taylor expansion of y in y 9.031 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify 1 into 1 9.031 * [taylor]: Taking taylor expansion of x in y 9.031 * [backup-simplify]: Simplify x into x 9.031 * [backup-simplify]: Simplify (* 1 1) into 1 9.031 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.031 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 9.031 * [taylor]: Taking taylor expansion of -1 in y 9.032 * [backup-simplify]: Simplify -1 into -1 9.032 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 9.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.032 * [taylor]: Taking taylor expansion of y in y 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 1 into 1 9.032 * [taylor]: Taking taylor expansion of x in y 9.032 * [backup-simplify]: Simplify x into x 9.032 * [backup-simplify]: Simplify (* 1 1) into 1 9.032 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.032 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 9.032 * [taylor]: Taking taylor expansion of (/ -1 x) in x 9.032 * [taylor]: Taking taylor expansion of -1 in x 9.032 * [backup-simplify]: Simplify -1 into -1 9.032 * [taylor]: Taking taylor expansion of x in x 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 1 into 1 9.033 * [backup-simplify]: Simplify (/ -1 1) into -1 9.033 * [backup-simplify]: Simplify -1 into -1 9.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.033 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 9.034 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 9.034 * [taylor]: Taking taylor expansion of 0 in x 9.034 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.035 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.036 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 9.036 * [taylor]: Taking taylor expansion of 0 in x 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.037 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.038 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 9.039 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 9.039 * [taylor]: Taking taylor expansion of 0 in x 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [backup-simplify]: Simplify 0 into 0 9.039 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.040 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 9.040 * * * [progress]: simplifying candidates 9.042 * [simplify]: Simplifying: (* (/ 1 y) (/ x y)) (+ (- (log y)) (- (log x) (log y))) (+ (- (log y)) (log (/ x y))) (+ (- 0 (log y)) (- (log x) (log y))) (+ (- 0 (log y)) (log (/ x y))) (+ (- (log 1) (log y)) (- (log x) (log y))) (+ (- (log 1) (log y)) (log (/ x y))) (+ (log (/ 1 y)) (- (log x) (log y))) (+ (log (/ 1 y)) (log (/ x y))) (log (* (/ 1 y) (/ x y))) (exp (* (/ 1 y) (/ x y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (/ (* (* x x) x) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (/ (* (* x x) x) (* (* y y) y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (* (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (* 1 x) (* y y) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ 1 y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (/ (sqrt x) 1)) (* (/ 1 y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ 1 (sqrt y))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) 1) (* (/ 1 y) x) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (* (/ (cbrt 1) (cbrt y)) (/ x y)) (* (/ (cbrt 1) (sqrt y)) (/ x y)) (* (/ (cbrt 1) y) (/ x y)) (* (/ (sqrt 1) (cbrt y)) (/ x y)) (* (/ (sqrt 1) (sqrt y)) (/ x y)) (* (/ (sqrt 1) y) (/ x y)) (* (/ 1 (cbrt y)) (/ x y)) (* (/ 1 (sqrt y)) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) x) (* 1 (/ x y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 9.043 * * [simplify]: Extracting # 0 : cost 0 9.043 * * [simplify]: Extracting # 1 : cost 0 9.044 * * [simplify]: Extracting # 2 : cost 0 9.044 * * [simplify]: Extracting # 3 : cost 0 9.044 * * [simplify]: Extracting # 4 : cost 0 9.044 * * [simplify]: Extracting # 5 : cost 0 9.045 * * [simplify]: iteration 0 : 110 enodes (cost 633 ) 9.087 * * [simplify]: Extracting # 0 : cost 0 9.087 * * [simplify]: Extracting # 1 : cost 0 9.087 * * [simplify]: Extracting # 2 : cost 0 9.087 * * [simplify]: Extracting # 3 : cost 0 9.088 * * [simplify]: iteration 1 : 296 enodes (cost 517 ) 9.205 * * [simplify]: Extracting # 0 : cost 0 9.206 * * [simplify]: Extracting # 1 : cost 0 9.207 * * [simplify]: Extracting # 2 : cost 0 9.208 * * [simplify]: Extracting # 3 : cost 0 9.208 * * [simplify]: iteration 2 : 904 enodes (cost 423 ) 10.086 * * [simplify]: Extracting # 0 : cost 0 10.089 * * [simplify]: Extracting # 1 : cost 0 10.091 * * [simplify]: Extracting # 2 : cost 0 10.094 * * [simplify]: Extracting # 3 : cost 0 10.097 * * [simplify]: Extracting # 4 : cost 0 10.099 * * [simplify]: iteration 3 : 2404 enodes (cost 407 ) 14.131 * * [simplify]: Extracting # 0 : cost 0 14.139 * * [simplify]: Extracting # 1 : cost 0 14.142 * * [simplify]: Extracting # 2 : cost 0 14.146 * * [simplify]: Extracting # 3 : cost 0 14.151 * * [simplify]: Extracting # 4 : cost 0 14.157 * * [simplify]: iteration done: 5000 enodes (cost 407 ) 14.158 * [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 (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt (/ x y)) (sqrt y)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (* (cbrt (/ x y)) (cbrt (/ x y))) y) (/ (sqrt (/ x y)) y) (/ (/ (* (cbrt x) (cbrt x)) y) (* (cbrt y) (cbrt y))) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) y) (/ (* (cbrt x) (cbrt x)) y) (/ (/ (/ (sqrt x) (cbrt y)) (cbrt y)) y) (/ (/ (sqrt x) (sqrt y)) y) (/ (sqrt x) y) (/ (/ 1 y) (* (cbrt y) (cbrt y))) (/ (/ 1 y) (sqrt y)) (/ 1 y) (/ 1 y) (/ x y) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x y) (/ x y) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) 14.158 * * * [progress]: adding candidates to table 14.246 * * [progress]: iteration 4 / 4 14.246 * * * [progress]: picking best candidate 14.249 * * * * [pick]: Picked # 14.249 * * * [progress]: localizing error 14.257 * * * [progress]: generating rewritten candidates 14.257 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 14.276 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 14.306 * * * [progress]: generating series expansions 14.306 * * * * [progress]: [ 1 / 2 ] generating series at (2) 14.307 * [backup-simplify]: Simplify (/ (/ 1 1) (* y (/ y x))) into (/ x (pow y 2)) 14.307 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 14.307 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 14.307 * [taylor]: Taking taylor expansion of x in x 14.307 * [backup-simplify]: Simplify 0 into 0 14.307 * [backup-simplify]: Simplify 1 into 1 14.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.307 * [taylor]: Taking taylor expansion of y in x 14.307 * [backup-simplify]: Simplify y into y 14.307 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.307 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 14.307 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 14.307 * [taylor]: Taking taylor expansion of x in y 14.307 * [backup-simplify]: Simplify x into x 14.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.307 * [taylor]: Taking taylor expansion of y in y 14.307 * [backup-simplify]: Simplify 0 into 0 14.307 * [backup-simplify]: Simplify 1 into 1 14.308 * [backup-simplify]: Simplify (* 1 1) into 1 14.308 * [backup-simplify]: Simplify (/ x 1) into x 14.308 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 14.308 * [taylor]: Taking taylor expansion of x in y 14.308 * [backup-simplify]: Simplify x into x 14.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.308 * [taylor]: Taking taylor expansion of y in y 14.308 * [backup-simplify]: Simplify 0 into 0 14.308 * [backup-simplify]: Simplify 1 into 1 14.308 * [backup-simplify]: Simplify (* 1 1) into 1 14.308 * [backup-simplify]: Simplify (/ x 1) into x 14.308 * [taylor]: Taking taylor expansion of x in x 14.308 * [backup-simplify]: Simplify 0 into 0 14.308 * [backup-simplify]: Simplify 1 into 1 14.308 * [backup-simplify]: Simplify 1 into 1 14.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 14.309 * [taylor]: Taking taylor expansion of 0 in x 14.309 * [backup-simplify]: Simplify 0 into 0 14.309 * [backup-simplify]: Simplify 0 into 0 14.310 * [backup-simplify]: Simplify 0 into 0 14.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.311 * [taylor]: Taking taylor expansion of 0 in x 14.311 * [backup-simplify]: Simplify 0 into 0 14.311 * [backup-simplify]: Simplify 0 into 0 14.311 * [backup-simplify]: Simplify 0 into 0 14.311 * [backup-simplify]: Simplify 0 into 0 14.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.313 * [taylor]: Taking taylor expansion of 0 in x 14.313 * [backup-simplify]: Simplify 0 into 0 14.313 * [backup-simplify]: Simplify 0 into 0 14.313 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 14.313 * [backup-simplify]: Simplify (/ (/ 1 1) (* (/ 1 y) (/ (/ 1 y) (/ 1 x)))) into (/ (pow y 2) x) 14.313 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 14.313 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 14.313 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.313 * [taylor]: Taking taylor expansion of y in x 14.313 * [backup-simplify]: Simplify y into y 14.313 * [taylor]: Taking taylor expansion of x in x 14.313 * [backup-simplify]: Simplify 0 into 0 14.313 * [backup-simplify]: Simplify 1 into 1 14.314 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.314 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 14.314 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 14.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.314 * [taylor]: Taking taylor expansion of y in y 14.314 * [backup-simplify]: Simplify 0 into 0 14.314 * [backup-simplify]: Simplify 1 into 1 14.314 * [taylor]: Taking taylor expansion of x in y 14.314 * [backup-simplify]: Simplify x into x 14.314 * [backup-simplify]: Simplify (* 1 1) into 1 14.314 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 14.314 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 14.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.314 * [taylor]: Taking taylor expansion of y in y 14.314 * [backup-simplify]: Simplify 0 into 0 14.314 * [backup-simplify]: Simplify 1 into 1 14.314 * [taylor]: Taking taylor expansion of x in y 14.314 * [backup-simplify]: Simplify x into x 14.314 * [backup-simplify]: Simplify (* 1 1) into 1 14.314 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 14.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.314 * [taylor]: Taking taylor expansion of x in x 14.314 * [backup-simplify]: Simplify 0 into 0 14.315 * [backup-simplify]: Simplify 1 into 1 14.315 * [backup-simplify]: Simplify (/ 1 1) into 1 14.315 * [backup-simplify]: Simplify 1 into 1 14.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.315 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 14.315 * [taylor]: Taking taylor expansion of 0 in x 14.315 * [backup-simplify]: Simplify 0 into 0 14.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.316 * [backup-simplify]: Simplify 0 into 0 14.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.316 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 14.316 * [taylor]: Taking taylor expansion of 0 in x 14.316 * [backup-simplify]: Simplify 0 into 0 14.316 * [backup-simplify]: Simplify 0 into 0 14.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.317 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.318 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 14.318 * [taylor]: Taking taylor expansion of 0 in x 14.318 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.318 * [backup-simplify]: Simplify 0 into 0 14.319 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 14.319 * [backup-simplify]: Simplify (/ (/ 1 1) (* (/ 1 (- y)) (/ (/ 1 (- y)) (/ 1 (- x))))) into (* -1 (/ (pow y 2) x)) 14.319 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 14.319 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 14.319 * [taylor]: Taking taylor expansion of -1 in x 14.319 * [backup-simplify]: Simplify -1 into -1 14.319 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 14.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.319 * [taylor]: Taking taylor expansion of y in x 14.319 * [backup-simplify]: Simplify y into y 14.319 * [taylor]: Taking taylor expansion of x in x 14.319 * [backup-simplify]: Simplify 0 into 0 14.319 * [backup-simplify]: Simplify 1 into 1 14.319 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.319 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 14.319 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 14.319 * [taylor]: Taking taylor expansion of -1 in y 14.319 * [backup-simplify]: Simplify -1 into -1 14.319 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 14.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.319 * [taylor]: Taking taylor expansion of y in y 14.319 * [backup-simplify]: Simplify 0 into 0 14.319 * [backup-simplify]: Simplify 1 into 1 14.319 * [taylor]: Taking taylor expansion of x in y 14.319 * [backup-simplify]: Simplify x into x 14.320 * [backup-simplify]: Simplify (* 1 1) into 1 14.320 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 14.320 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 14.320 * [taylor]: Taking taylor expansion of -1 in y 14.320 * [backup-simplify]: Simplify -1 into -1 14.320 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 14.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.320 * [taylor]: Taking taylor expansion of y in y 14.320 * [backup-simplify]: Simplify 0 into 0 14.320 * [backup-simplify]: Simplify 1 into 1 14.320 * [taylor]: Taking taylor expansion of x in y 14.320 * [backup-simplify]: Simplify x into x 14.320 * [backup-simplify]: Simplify (* 1 1) into 1 14.320 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 14.320 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 14.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 14.320 * [taylor]: Taking taylor expansion of -1 in x 14.320 * [backup-simplify]: Simplify -1 into -1 14.320 * [taylor]: Taking taylor expansion of x in x 14.320 * [backup-simplify]: Simplify 0 into 0 14.320 * [backup-simplify]: Simplify 1 into 1 14.321 * [backup-simplify]: Simplify (/ -1 1) into -1 14.321 * [backup-simplify]: Simplify -1 into -1 14.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.321 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 14.321 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 14.321 * [taylor]: Taking taylor expansion of 0 in x 14.321 * [backup-simplify]: Simplify 0 into 0 14.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.322 * [backup-simplify]: Simplify 0 into 0 14.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.323 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 14.323 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 14.323 * [taylor]: Taking taylor expansion of 0 in x 14.323 * [backup-simplify]: Simplify 0 into 0 14.323 * [backup-simplify]: Simplify 0 into 0 14.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.324 * [backup-simplify]: Simplify 0 into 0 14.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.325 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 14.326 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 14.327 * [taylor]: Taking taylor expansion of 0 in x 14.327 * [backup-simplify]: Simplify 0 into 0 14.327 * [backup-simplify]: Simplify 0 into 0 14.327 * [backup-simplify]: Simplify 0 into 0 14.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.328 * [backup-simplify]: Simplify 0 into 0 14.328 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 14.328 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 14.328 * [backup-simplify]: Simplify (* y (/ y x)) into (/ (pow y 2) x) 14.328 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 14.328 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 14.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.328 * [taylor]: Taking taylor expansion of y in x 14.328 * [backup-simplify]: Simplify y into y 14.328 * [taylor]: Taking taylor expansion of x in x 14.329 * [backup-simplify]: Simplify 0 into 0 14.329 * [backup-simplify]: Simplify 1 into 1 14.329 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.329 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 14.329 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 14.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.329 * [taylor]: Taking taylor expansion of y in y 14.329 * [backup-simplify]: Simplify 0 into 0 14.329 * [backup-simplify]: Simplify 1 into 1 14.329 * [taylor]: Taking taylor expansion of x in y 14.329 * [backup-simplify]: Simplify x into x 14.329 * [backup-simplify]: Simplify (* 1 1) into 1 14.329 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 14.329 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 14.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.329 * [taylor]: Taking taylor expansion of y in y 14.329 * [backup-simplify]: Simplify 0 into 0 14.330 * [backup-simplify]: Simplify 1 into 1 14.330 * [taylor]: Taking taylor expansion of x in y 14.330 * [backup-simplify]: Simplify x into x 14.330 * [backup-simplify]: Simplify (* 1 1) into 1 14.330 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 14.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 14.330 * [taylor]: Taking taylor expansion of x in x 14.330 * [backup-simplify]: Simplify 0 into 0 14.330 * [backup-simplify]: Simplify 1 into 1 14.331 * [backup-simplify]: Simplify (/ 1 1) into 1 14.331 * [backup-simplify]: Simplify 1 into 1 14.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.331 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 14.331 * [taylor]: Taking taylor expansion of 0 in x 14.331 * [backup-simplify]: Simplify 0 into 0 14.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.332 * [backup-simplify]: Simplify 0 into 0 14.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.333 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 14.333 * [taylor]: Taking taylor expansion of 0 in x 14.333 * [backup-simplify]: Simplify 0 into 0 14.333 * [backup-simplify]: Simplify 0 into 0 14.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.334 * [backup-simplify]: Simplify 0 into 0 14.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.335 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 14.335 * [taylor]: Taking taylor expansion of 0 in x 14.335 * [backup-simplify]: Simplify 0 into 0 14.335 * [backup-simplify]: Simplify 0 into 0 14.335 * [backup-simplify]: Simplify 0 into 0 14.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.336 * [backup-simplify]: Simplify 0 into 0 14.337 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 14.337 * [backup-simplify]: Simplify (* (/ 1 y) (/ (/ 1 y) (/ 1 x))) into (/ x (pow y 2)) 14.337 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 14.337 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 14.337 * [taylor]: Taking taylor expansion of x in x 14.337 * [backup-simplify]: Simplify 0 into 0 14.337 * [backup-simplify]: Simplify 1 into 1 14.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.337 * [taylor]: Taking taylor expansion of y in x 14.337 * [backup-simplify]: Simplify y into y 14.337 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.337 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 14.337 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 14.337 * [taylor]: Taking taylor expansion of x in y 14.337 * [backup-simplify]: Simplify x into x 14.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.337 * [taylor]: Taking taylor expansion of y in y 14.337 * [backup-simplify]: Simplify 0 into 0 14.337 * [backup-simplify]: Simplify 1 into 1 14.338 * [backup-simplify]: Simplify (* 1 1) into 1 14.338 * [backup-simplify]: Simplify (/ x 1) into x 14.338 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 14.338 * [taylor]: Taking taylor expansion of x in y 14.338 * [backup-simplify]: Simplify x into x 14.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.338 * [taylor]: Taking taylor expansion of y in y 14.338 * [backup-simplify]: Simplify 0 into 0 14.338 * [backup-simplify]: Simplify 1 into 1 14.338 * [backup-simplify]: Simplify (* 1 1) into 1 14.338 * [backup-simplify]: Simplify (/ x 1) into x 14.339 * [taylor]: Taking taylor expansion of x in x 14.339 * [backup-simplify]: Simplify 0 into 0 14.339 * [backup-simplify]: Simplify 1 into 1 14.339 * [backup-simplify]: Simplify 1 into 1 14.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 14.340 * [taylor]: Taking taylor expansion of 0 in x 14.340 * [backup-simplify]: Simplify 0 into 0 14.340 * [backup-simplify]: Simplify 0 into 0 14.340 * [backup-simplify]: Simplify 0 into 0 14.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.342 * [taylor]: Taking taylor expansion of 0 in x 14.343 * [backup-simplify]: Simplify 0 into 0 14.343 * [backup-simplify]: Simplify 0 into 0 14.343 * [backup-simplify]: Simplify 0 into 0 14.343 * [backup-simplify]: Simplify 0 into 0 14.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.345 * [taylor]: Taking taylor expansion of 0 in x 14.345 * [backup-simplify]: Simplify 0 into 0 14.345 * [backup-simplify]: Simplify 0 into 0 14.345 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 14.346 * [backup-simplify]: Simplify (* (/ 1 (- y)) (/ (/ 1 (- y)) (/ 1 (- x)))) into (* -1 (/ x (pow y 2))) 14.346 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 14.346 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 14.346 * [taylor]: Taking taylor expansion of -1 in x 14.346 * [backup-simplify]: Simplify -1 into -1 14.346 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 14.346 * [taylor]: Taking taylor expansion of x in x 14.346 * [backup-simplify]: Simplify 0 into 0 14.346 * [backup-simplify]: Simplify 1 into 1 14.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 14.346 * [taylor]: Taking taylor expansion of y in x 14.346 * [backup-simplify]: Simplify y into y 14.346 * [backup-simplify]: Simplify (* y y) into (pow y 2) 14.346 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 14.346 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 14.346 * [taylor]: Taking taylor expansion of -1 in y 14.346 * [backup-simplify]: Simplify -1 into -1 14.346 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 14.346 * [taylor]: Taking taylor expansion of x in y 14.346 * [backup-simplify]: Simplify x into x 14.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.346 * [taylor]: Taking taylor expansion of y in y 14.346 * [backup-simplify]: Simplify 0 into 0 14.346 * [backup-simplify]: Simplify 1 into 1 14.347 * [backup-simplify]: Simplify (* 1 1) into 1 14.347 * [backup-simplify]: Simplify (/ x 1) into x 14.347 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 14.347 * [taylor]: Taking taylor expansion of -1 in y 14.347 * [backup-simplify]: Simplify -1 into -1 14.347 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 14.347 * [taylor]: Taking taylor expansion of x in y 14.347 * [backup-simplify]: Simplify x into x 14.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 14.347 * [taylor]: Taking taylor expansion of y in y 14.347 * [backup-simplify]: Simplify 0 into 0 14.347 * [backup-simplify]: Simplify 1 into 1 14.347 * [backup-simplify]: Simplify (* 1 1) into 1 14.347 * [backup-simplify]: Simplify (/ x 1) into x 14.348 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 14.348 * [taylor]: Taking taylor expansion of (* -1 x) in x 14.348 * [taylor]: Taking taylor expansion of -1 in x 14.348 * [backup-simplify]: Simplify -1 into -1 14.348 * [taylor]: Taking taylor expansion of x in x 14.348 * [backup-simplify]: Simplify 0 into 0 14.348 * [backup-simplify]: Simplify 1 into 1 14.348 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 14.348 * [backup-simplify]: Simplify -1 into -1 14.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 14.350 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 14.350 * [taylor]: Taking taylor expansion of 0 in x 14.350 * [backup-simplify]: Simplify 0 into 0 14.350 * [backup-simplify]: Simplify 0 into 0 14.351 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 14.351 * [backup-simplify]: Simplify 0 into 0 14.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.354 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 14.354 * [taylor]: Taking taylor expansion of 0 in x 14.354 * [backup-simplify]: Simplify 0 into 0 14.354 * [backup-simplify]: Simplify 0 into 0 14.354 * [backup-simplify]: Simplify 0 into 0 14.355 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.355 * [backup-simplify]: Simplify 0 into 0 14.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.358 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 14.358 * [taylor]: Taking taylor expansion of 0 in x 14.358 * [backup-simplify]: Simplify 0 into 0 14.358 * [backup-simplify]: Simplify 0 into 0 14.358 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 14.358 * * * [progress]: simplifying candidates 14.360 * [simplify]: Simplifying: (- (- 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)))) (- (- 0 0) (+ (log y) (- (log y) (log x)))) (- (- 0 0) (+ (log y) (log (/ y x)))) (- (- 0 0) (log (* y (/ y x)))) (- (- 0 (log 1)) (+ (log y) (- (log y) (log x)))) (- (- 0 (log 1)) (+ (log y) (log (/ y x)))) (- (- 0 (log 1)) (log (* y (/ y x)))) (- (- (log 1) 0) (+ (log y) (- (log y) (log x)))) (- (- (log 1) 0) (+ (log y) (log (/ y x)))) (- (- (log 1) 0) (log (* y (/ y x)))) (- (- (log 1) (log 1)) (+ (log y) (- (log y) (log x)))) (- (- (log 1) (log 1)) (+ (log y) (log (/ y x)))) (- (- (log 1) (log 1)) (log (* y (/ y x)))) (- (log (/ 1 1)) (+ (log y) (- (log y) (log x)))) (- (log (/ 1 1)) (+ (log y) (log (/ y x)))) (- (log (/ 1 1)) (log (* y (/ y x)))) (log (/ (/ 1 1) (* y (/ y x)))) (exp (/ (/ 1 1) (* y (/ y x)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (* y y) y) (/ (* (* y y) y) (* (* x x) x)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (* y y) y) (* (* (/ y x) (/ y x)) (/ y x)))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (* y (/ y x)) (* y (/ y x))) (* y (/ y x)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (* y y) y) (/ (* (* y y) y) (* (* x x) x)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (* y y) y) (* (* (/ y x) (/ y x)) (/ y x)))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (* y (/ y x)) (* y (/ y x))) (* y (/ y x)))) (* (cbrt (/ (/ 1 1) (* y (/ y x)))) (cbrt (/ (/ 1 1) (* y (/ y x))))) (cbrt (/ (/ 1 1) (* y (/ y x)))) (* (* (/ (/ 1 1) (* y (/ y x))) (/ (/ 1 1) (* y (/ y x)))) (/ (/ 1 1) (* y (/ y x)))) (sqrt (/ (/ 1 1) (* y (/ y x)))) (sqrt (/ (/ 1 1) (* y (/ y x)))) (- (/ 1 1)) (- (* y (/ y x))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) y) (/ (cbrt (/ 1 1)) (/ y x)) (/ (sqrt (/ 1 1)) y) (/ (sqrt (/ 1 1)) (/ y x)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (cbrt 1))) y) (/ (/ (cbrt 1) (cbrt 1)) (/ y x)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) y) (/ (/ (cbrt 1) (sqrt 1)) (/ y x)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) y) (/ (/ (cbrt 1) 1) (/ y x)) (/ (/ (sqrt 1) (* (cbrt 1) (cbrt 1))) y) (/ (/ (sqrt 1) (cbrt 1)) (/ y x)) (/ (/ (sqrt 1) (sqrt 1)) y) (/ (/ (sqrt 1) (sqrt 1)) (/ y x)) (/ (/ (sqrt 1) 1) y) (/ (/ (sqrt 1) 1) (/ y x)) (/ (/ 1 (* (cbrt 1) (cbrt 1))) y) (/ (/ 1 (cbrt 1)) (/ y x)) (/ (/ 1 (sqrt 1)) y) (/ (/ 1 (sqrt 1)) (/ y x)) (/ (/ 1 1) y) (/ (/ 1 1) (/ y x)) (/ 1 y) (/ (/ 1 1) (/ y x)) (/ 1 y) (/ (/ 1 1) (/ y x)) (/ 1 (* y (/ y x))) (/ (* y (/ y x)) (/ 1 1)) (/ (/ 1 1) y) (/ (* y (/ y x)) (cbrt (/ 1 1))) (/ (* y (/ y x)) (sqrt (/ 1 1))) (/ (* y (/ y x)) (/ (cbrt 1) (cbrt 1))) (/ (* y (/ y x)) (/ (cbrt 1) (sqrt 1))) (/ (* y (/ y x)) (/ (cbrt 1) 1)) (/ (* y (/ y x)) (/ (sqrt 1) (cbrt 1))) (/ (* y (/ y x)) (/ (sqrt 1) (sqrt 1))) (/ (* y (/ y x)) (/ (sqrt 1) 1)) (/ (* y (/ y x)) (/ 1 (cbrt 1))) (/ (* y (/ y x)) (/ 1 (sqrt 1))) (/ (* y (/ y x)) (/ 1 1)) (/ (* y (/ y x)) (/ 1 1)) (/ (* y (/ y x)) (/ 1 1)) (/ (/ 1 1) (* y y)) (* (* y (/ y x)) 1) (* 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) 14.364 * * [simplify]: Extracting # 0 : cost 0 14.364 * * [simplify]: Extracting # 1 : cost 0 14.364 * * [simplify]: Extracting # 2 : cost 0 14.365 * * [simplify]: Extracting # 3 : cost 0 14.365 * * [simplify]: Extracting # 4 : cost 0 14.365 * * [simplify]: Extracting # 5 : cost 0 14.366 * * [simplify]: Extracting # 6 : cost 0 14.366 * * [simplify]: Extracting # 7 : cost 0 14.366 * * [simplify]: iteration 0 : 172 enodes (cost 1188 ) 14.482 * * [simplify]: Extracting # 0 : cost 0 14.483 * * [simplify]: Extracting # 1 : cost 0 14.484 * * [simplify]: Extracting # 2 : cost 0 14.484 * * [simplify]: iteration 1 : 367 enodes (cost 866 ) 14.578 * * [simplify]: Extracting # 0 : cost 0 14.579 * * [simplify]: Extracting # 1 : cost 0 14.580 * * [simplify]: Extracting # 2 : cost 0 14.581 * * [simplify]: Extracting # 3 : cost 0 14.582 * * [simplify]: Extracting # 4 : cost 0 14.582 * * [simplify]: iteration 2 : 783 enodes (cost 704 ) 15.498 * * [simplify]: Extracting # 0 : cost 0 15.501 * * [simplify]: Extracting # 1 : cost 0 15.504 * * [simplify]: Extracting # 2 : cost 0 15.507 * * [simplify]: Extracting # 3 : cost 0 15.509 * * [simplify]: Extracting # 4 : cost 0 15.512 * * [simplify]: iteration 3 : 2291 enodes (cost 628 ) 17.726 * * [simplify]: Extracting # 0 : cost 0 17.738 * * [simplify]: Extracting # 1 : cost 0 17.742 * * [simplify]: Extracting # 2 : cost 0 17.747 * * [simplify]: iteration done: 5000 enodes (cost 628 ) 17.747 * [simplify]: Simplified to: (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))) (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))) (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) (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) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ 1 y) (/ x y) (/ x (pow y 2)) (/ (pow y 2) x) (/ 1 y) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) (/ (/ 1 y) y) (/ (pow y 2) x) (/ (pow y 2) x) (log (/ (pow y 2) x)) (log (/ (pow y 2) x)) (log (/ (pow y 2) x)) (exp (* y (/ y x))) (pow (/ (pow y 2) x) 3) (pow (/ (pow y 2) x) 3) (* (cbrt (* y (/ y x))) (cbrt (* y (/ y x)))) (cbrt (* y (/ y x))) (pow (/ (pow y 2) 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))) (* (* (cbrt y) (cbrt y)) y) (* y (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* y (/ (sqrt y) (sqrt x))) (* y (sqrt y)) (/ y (* (cbrt x) (cbrt x))) (/ y (sqrt x)) y y (* y y) (* (cbrt y) (/ y x)) (* (sqrt y) (/ y x)) (/ (pow y 2) 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) 17.748 * * * [progress]: adding candidates to table 17.897 * [progress]: [Phase 3 of 3] Extracting. 17.897 * * [regime]: Finding splitpoints for: (# # # #) 17.897 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (/ x (* y y)) y x) 17.897 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 17.909 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # #) 17.922 * * * * [regimes]: Trying to branch on y from (# # # #) 17.938 * * * * [regimes]: Trying to branch on x from (# # # #) 17.953 * * * [regime]: Found split indices: #