55.782 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying: (- (/ x (* y y)) 3.0) 0.043 * * [simplify]: iteration 0: 6 enodes 0.046 * * [simplify]: iteration 1: 10 enodes 0.051 * * [simplify]: iteration 2: 11 enodes 0.056 * * [simplify]: iteration complete: 11 enodes 0.056 * * [simplify]: Extracting #0: cost 1 inf + 0 0.056 * * [simplify]: Extracting #1: cost 4 inf + 0 0.056 * * [simplify]: Extracting #2: cost 6 inf + 42 0.056 * * [simplify]: Extracting #3: cost 3 inf + 85 0.057 * * [simplify]: Extracting #4: cost 0 inf + 332 0.057 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.082 * * * [progress]: generating rewritten candidates 0.083 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.100 * * * [progress]: generating series expansions 0.100 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.100 * [backup-simplify]: Simplify (/ x (* y y)) into (/ x (pow y 2)) 0.100 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 0.100 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [backup-simplify]: Simplify x into x 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ x 1) into x 0.101 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.102 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [backup-simplify]: Simplify y into y 0.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.104 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.110 * [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 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.123 * [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 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 0.124 * [backup-simplify]: Simplify (/ (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ (pow y 2) x) 0.124 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 0.124 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [backup-simplify]: Simplify x into x 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.125 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.125 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.125 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.125 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 0.134 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 0.134 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.134 * [taylor]: Taking taylor expansion of -1 in y 0.134 * [backup-simplify]: Simplify -1 into -1 0.134 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [backup-simplify]: Simplify x into x 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.135 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.135 * [taylor]: Taking taylor expansion of -1 in x 0.135 * [backup-simplify]: Simplify -1 into -1 0.135 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.136 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.136 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.136 * [taylor]: Taking taylor expansion of -1 in x 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [backup-simplify]: Simplify y into y 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.136 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 0.136 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 0.136 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.136 * [taylor]: Taking taylor expansion of -1 in y 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (* -1 1) into -1 0.137 * [backup-simplify]: Simplify -1 into -1 0.137 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 0.150 * * * [progress]: simplifying candidates 0.151 * [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)) 0.152 * * [simplify]: iteration 0: 43 enodes 0.174 * * [simplify]: iteration 1: 102 enodes 0.413 * * [simplify]: iteration 2: 320 enodes 0.978 * * [simplify]: iteration 3: 1464 enodes 2.602 * * [simplify]: iteration complete: 5004 enodes 2.603 * * [simplify]: Extracting #0: cost 18 inf + 0 2.606 * * [simplify]: Extracting #1: cost 900 inf + 0 2.628 * * [simplify]: Extracting #2: cost 1604 inf + 10299 2.820 * * [simplify]: Extracting #3: cost 615 inf + 155736 2.984 * * [simplify]: Extracting #4: cost 16 inf + 243790 3.100 * * [simplify]: Extracting #5: cost 1 inf + 246265 3.207 * * [simplify]: Extracting #6: cost 0 inf + 246518 3.308 * [simplify]: Simplified to: (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* 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 (/ x y)) (/ x y) (* (/ y (cbrt x)) y) (* y (/ y (sqrt x))) (/ y (/ x y)) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 3.312 * * * [progress]: adding candidates to table 3.450 * * [progress]: iteration 2 / 4 3.450 * * * [progress]: picking best candidate 3.479 * * * * [pick]: Picked # 3.480 * * * [progress]: localizing error 3.494 * * * [progress]: generating rewritten candidates 3.495 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 3.521 * * * [progress]: generating series expansions 3.521 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 3.522 * [backup-simplify]: Simplify (/ (/ x y) y) into (/ x (pow y 2)) 3.522 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 3.522 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 3.522 * [taylor]: Taking taylor expansion of x in y 3.522 * [backup-simplify]: Simplify x into x 3.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.522 * [taylor]: Taking taylor expansion of y in y 3.522 * [backup-simplify]: Simplify 0 into 0 3.522 * [backup-simplify]: Simplify 1 into 1 3.522 * [backup-simplify]: Simplify (* 1 1) into 1 3.523 * [backup-simplify]: Simplify (/ x 1) into x 3.523 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.523 * [taylor]: Taking taylor expansion of x in x 3.523 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify 1 into 1 3.523 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.523 * [taylor]: Taking taylor expansion of y in x 3.523 * [backup-simplify]: Simplify y into y 3.523 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.523 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.523 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 3.523 * [taylor]: Taking taylor expansion of x in x 3.523 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify 1 into 1 3.523 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.523 * [taylor]: Taking taylor expansion of y in x 3.523 * [backup-simplify]: Simplify y into y 3.523 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.523 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.524 * [taylor]: Taking taylor expansion of y in y 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 1 into 1 3.524 * [backup-simplify]: Simplify (* 1 1) into 1 3.524 * [backup-simplify]: Simplify (/ 1 1) into 1 3.524 * [backup-simplify]: Simplify 1 into 1 3.525 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.525 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.525 * [taylor]: Taking taylor expansion of 0 in y 3.525 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.527 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.527 * [taylor]: Taking taylor expansion of 0 in y 3.527 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.531 * [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 3.531 * [taylor]: Taking taylor expansion of 0 in y 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.534 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.542 * [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 3.542 * [taylor]: Taking taylor expansion of 0 in y 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 3.543 * [backup-simplify]: Simplify (/ (/ (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (pow y 2) x) 3.543 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 3.543 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.543 * [taylor]: Taking taylor expansion of y in y 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 1 into 1 3.543 * [taylor]: Taking taylor expansion of x in y 3.543 * [backup-simplify]: Simplify x into x 3.544 * [backup-simplify]: Simplify (* 1 1) into 1 3.544 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.544 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.544 * [taylor]: Taking taylor expansion of y in x 3.544 * [backup-simplify]: Simplify y into y 3.544 * [taylor]: Taking taylor expansion of x in x 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.544 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.544 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.544 * [taylor]: Taking taylor expansion of y in x 3.544 * [backup-simplify]: Simplify y into y 3.544 * [taylor]: Taking taylor expansion of x in x 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.545 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.545 * [taylor]: Taking taylor expansion of y in y 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify 1 into 1 3.545 * [backup-simplify]: Simplify (* 1 1) into 1 3.545 * [backup-simplify]: Simplify 1 into 1 3.545 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 3.546 * [taylor]: Taking taylor expansion of 0 in y 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 0 into 0 3.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.547 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.549 * [taylor]: Taking taylor expansion of 0 in y 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.551 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.553 * [taylor]: Taking taylor expansion of 0 in y 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 3.554 * [backup-simplify]: Simplify (/ (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (pow y 2) x)) 3.554 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 3.554 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 3.554 * [taylor]: Taking taylor expansion of -1 in y 3.554 * [backup-simplify]: Simplify -1 into -1 3.554 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 3.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.554 * [taylor]: Taking taylor expansion of y in y 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 1 into 1 3.554 * [taylor]: Taking taylor expansion of x in y 3.554 * [backup-simplify]: Simplify x into x 3.555 * [backup-simplify]: Simplify (* 1 1) into 1 3.555 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.555 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 3.555 * [taylor]: Taking taylor expansion of -1 in x 3.555 * [backup-simplify]: Simplify -1 into -1 3.555 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.555 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.555 * [taylor]: Taking taylor expansion of y in x 3.555 * [backup-simplify]: Simplify y into y 3.555 * [taylor]: Taking taylor expansion of x in x 3.555 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify 1 into 1 3.555 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.555 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.555 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 3.555 * [taylor]: Taking taylor expansion of -1 in x 3.555 * [backup-simplify]: Simplify -1 into -1 3.555 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 3.556 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.556 * [taylor]: Taking taylor expansion of y in x 3.556 * [backup-simplify]: Simplify y into y 3.556 * [taylor]: Taking taylor expansion of x in x 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 1 into 1 3.556 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.556 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 3.556 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 3.556 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 3.556 * [taylor]: Taking taylor expansion of -1 in y 3.556 * [backup-simplify]: Simplify -1 into -1 3.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.556 * [taylor]: Taking taylor expansion of y in y 3.556 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify 1 into 1 3.557 * [backup-simplify]: Simplify (* 1 1) into 1 3.557 * [backup-simplify]: Simplify (* -1 1) into -1 3.557 * [backup-simplify]: Simplify -1 into -1 3.558 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 3.559 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 3.559 * [taylor]: Taking taylor expansion of 0 in y 3.559 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.561 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 3.561 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.564 * [taylor]: Taking taylor expansion of 0 in y 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.566 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.571 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.571 * [taylor]: Taking taylor expansion of 0 in y 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 3.571 * * * [progress]: simplifying candidates 3.574 * [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)) 3.577 * * [simplify]: iteration 0: 140 enodes 3.654 * * [simplify]: iteration 1: 316 enodes 3.862 * * [simplify]: iteration 2: 830 enodes 5.420 * * [simplify]: iteration 3: 4430 enodes 10.239 * * [simplify]: iteration complete: 5009 enodes 10.240 * * [simplify]: Extracting #0: cost 73 inf + 0 10.243 * * [simplify]: Extracting #1: cost 891 inf + 43 10.260 * * [simplify]: Extracting #2: cost 1679 inf + 30789 10.318 * * [simplify]: Extracting #3: cost 416 inf + 207357 10.409 * * [simplify]: Extracting #4: cost 6 inf + 262834 10.503 * * [simplify]: Extracting #5: cost 0 inf + 263981 10.697 * [simplify]: Simplified to: (log (/ (/ x y) y)) (log (/ (/ x y) y)) (log (/ (/ x y) y)) (exp (/ (/ x y) y)) (* (/ (/ x y) y) (* (/ (/ x y) y) (/ (/ x y) y))) (* (* (/ (/ x y) y) (/ (/ x y) y)) (/ (/ x 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 y)) (/ (cbrt (/ x y)) (cbrt y))) (/ (cbrt (/ x y)) (cbrt y)) (* (/ (cbrt (/ x y)) (sqrt y)) (cbrt (/ x 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) (cbrt y)) (cbrt y)) (/ (/ (cbrt x) (cbrt y)) (cbrt y))) (/ (/ (cbrt x) (cbrt y)) (cbrt y)) (/ (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (sqrt y)) (/ (/ (cbrt x) (sqrt y)) (cbrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (* (cbrt y) y)) (/ (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (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) (* y (sqrt y))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (* (cbrt y) y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (* y (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (* y y)) (/ (sqrt x) (* (cbrt y) 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) (* (cbrt y) 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) (* (sqrt y) y)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (* (cbrt y) y)) (/ (sqrt x) (sqrt y)) (/ (sqrt x) (* (sqrt y) y)) (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 (cbrt y)) y) (/ (/ 1 (sqrt y)) (* (cbrt y) (cbrt y))) (/ (/ x (sqrt y)) (cbrt y)) (/ 1 y) (/ x y) (/ 1 (sqrt y)) (/ x (* (sqrt y) y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) y) (/ 1 (sqrt y)) (/ x (* (sqrt y) y)) 1 (/ (/ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ x (cbrt y)) y) (/ 1 (sqrt y)) (/ x (* (sqrt y) y)) 1 (/ (/ x y) y) (/ x (* (cbrt y) (cbrt y))) (/ (/ 1 y) (cbrt y)) (/ x (sqrt y)) (/ (/ 1 (sqrt y)) y) x (/ (/ 1 y) y) (/ 1 y) (/ y (/ x y)) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (* (sqrt y) y)) (/ x y) (/ y (cbrt (/ x y))) (/ y (sqrt (/ x y))) (/ (* y (cbrt y)) (cbrt x)) (/ y (/ (cbrt x) (sqrt y))) (/ (* y y) (cbrt x)) (* (/ (cbrt y) (sqrt x)) y) (/ (* (sqrt y) y) (sqrt x)) (* (/ y (sqrt x)) y) (* (cbrt y) (/ y x)) (/ (* y (sqrt y)) x) (/ y (/ x y)) (/ y (/ x y)) (* y y) (* y y) (/ (/ x y) y) (/ (/ x y) y) (/ (/ x y) y) 10.704 * * * [progress]: adding candidates to table 11.187 * * [progress]: iteration 3 / 4 11.187 * * * [progress]: picking best candidate 11.230 * * * * [pick]: Picked # 11.230 * * * [progress]: localizing error 11.250 * * * [progress]: generating rewritten candidates 11.250 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 11.462 * * * [progress]: generating series expansions 11.468 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 11.508 * [backup-simplify]: Simplify (* (/ x y) (/ 1 y)) into (/ x (pow y 2)) 11.508 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (x y) around 0 11.508 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 11.508 * [taylor]: Taking taylor expansion of x in y 11.508 * [backup-simplify]: Simplify x into x 11.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.508 * [taylor]: Taking taylor expansion of y in y 11.508 * [backup-simplify]: Simplify 0 into 0 11.508 * [backup-simplify]: Simplify 1 into 1 11.560 * [backup-simplify]: Simplify (* 1 1) into 1 11.560 * [backup-simplify]: Simplify (/ x 1) into x 11.561 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 11.561 * [taylor]: Taking taylor expansion of x in x 11.561 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify 1 into 1 11.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.561 * [taylor]: Taking taylor expansion of y in x 11.561 * [backup-simplify]: Simplify y into y 11.561 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.561 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.561 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 11.561 * [taylor]: Taking taylor expansion of x in x 11.561 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify 1 into 1 11.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.561 * [taylor]: Taking taylor expansion of y in x 11.561 * [backup-simplify]: Simplify y into y 11.561 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.561 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 11.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.562 * [taylor]: Taking taylor expansion of y in y 11.562 * [backup-simplify]: Simplify 0 into 0 11.562 * [backup-simplify]: Simplify 1 into 1 11.562 * [backup-simplify]: Simplify (* 1 1) into 1 11.563 * [backup-simplify]: Simplify (/ 1 1) into 1 11.563 * [backup-simplify]: Simplify 1 into 1 11.563 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.563 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 11.563 * [taylor]: Taking taylor expansion of 0 in y 11.563 * [backup-simplify]: Simplify 0 into 0 11.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.573 * [backup-simplify]: Simplify 0 into 0 11.574 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.574 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 11.574 * [taylor]: Taking taylor expansion of 0 in y 11.574 * [backup-simplify]: Simplify 0 into 0 11.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.579 * [backup-simplify]: Simplify 0 into 0 11.580 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 11.580 * [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 11.580 * [taylor]: Taking taylor expansion of 0 in y 11.580 * [backup-simplify]: Simplify 0 into 0 11.580 * [backup-simplify]: Simplify 0 into 0 11.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.605 * [backup-simplify]: Simplify 0 into 0 11.607 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 11.608 * [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 11.608 * [taylor]: Taking taylor expansion of 0 in y 11.608 * [backup-simplify]: Simplify 0 into 0 11.608 * [backup-simplify]: Simplify 0 into 0 11.608 * [backup-simplify]: Simplify 0 into 0 11.608 * [backup-simplify]: Simplify (* 1 (* (pow y -2) x)) into (/ x (pow y 2)) 11.608 * [backup-simplify]: Simplify (* (/ (/ 1 x) (/ 1 y)) (/ 1 (/ 1 y))) into (/ (pow y 2) x) 11.608 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (x y) around 0 11.608 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 11.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.609 * [taylor]: Taking taylor expansion of y in y 11.609 * [backup-simplify]: Simplify 0 into 0 11.609 * [backup-simplify]: Simplify 1 into 1 11.609 * [taylor]: Taking taylor expansion of x in y 11.609 * [backup-simplify]: Simplify x into x 11.609 * [backup-simplify]: Simplify (* 1 1) into 1 11.609 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 11.609 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 11.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.609 * [taylor]: Taking taylor expansion of y in x 11.609 * [backup-simplify]: Simplify y into y 11.609 * [taylor]: Taking taylor expansion of x in x 11.609 * [backup-simplify]: Simplify 0 into 0 11.609 * [backup-simplify]: Simplify 1 into 1 11.610 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.610 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 11.610 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 11.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.610 * [taylor]: Taking taylor expansion of y in x 11.610 * [backup-simplify]: Simplify y into y 11.610 * [taylor]: Taking taylor expansion of x in x 11.610 * [backup-simplify]: Simplify 0 into 0 11.610 * [backup-simplify]: Simplify 1 into 1 11.610 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.610 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 11.610 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.610 * [taylor]: Taking taylor expansion of y in y 11.610 * [backup-simplify]: Simplify 0 into 0 11.610 * [backup-simplify]: Simplify 1 into 1 11.611 * [backup-simplify]: Simplify (* 1 1) into 1 11.611 * [backup-simplify]: Simplify 1 into 1 11.611 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 11.616 * [taylor]: Taking taylor expansion of 0 in y 11.617 * [backup-simplify]: Simplify 0 into 0 11.617 * [backup-simplify]: Simplify 0 into 0 11.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.617 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.620 * [taylor]: Taking taylor expansion of 0 in y 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.622 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 11.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.664 * [taylor]: Taking taylor expansion of 0 in y 11.664 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify 0 into 0 11.664 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) 2) (/ 1 (/ 1 x)))) into (/ x (pow y 2)) 11.664 * [backup-simplify]: Simplify (* (/ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (/ 1 (- y)))) into (* -1 (/ (pow y 2) x)) 11.665 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (x y) around 0 11.665 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 11.665 * [taylor]: Taking taylor expansion of -1 in y 11.665 * [backup-simplify]: Simplify -1 into -1 11.665 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 11.665 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.665 * [taylor]: Taking taylor expansion of y in y 11.665 * [backup-simplify]: Simplify 0 into 0 11.665 * [backup-simplify]: Simplify 1 into 1 11.665 * [taylor]: Taking taylor expansion of x in y 11.665 * [backup-simplify]: Simplify x into x 11.671 * [backup-simplify]: Simplify (* 1 1) into 1 11.671 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 11.671 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 11.671 * [taylor]: Taking taylor expansion of -1 in x 11.671 * [backup-simplify]: Simplify -1 into -1 11.671 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 11.671 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.671 * [taylor]: Taking taylor expansion of y in x 11.671 * [backup-simplify]: Simplify y into y 11.671 * [taylor]: Taking taylor expansion of x in x 11.671 * [backup-simplify]: Simplify 0 into 0 11.671 * [backup-simplify]: Simplify 1 into 1 11.671 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.671 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 11.671 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 11.671 * [taylor]: Taking taylor expansion of -1 in x 11.671 * [backup-simplify]: Simplify -1 into -1 11.671 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 11.671 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.671 * [taylor]: Taking taylor expansion of y in x 11.672 * [backup-simplify]: Simplify y into y 11.672 * [taylor]: Taking taylor expansion of x in x 11.672 * [backup-simplify]: Simplify 0 into 0 11.672 * [backup-simplify]: Simplify 1 into 1 11.672 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.672 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 11.672 * [backup-simplify]: Simplify (* -1 (pow y 2)) into (* -1 (pow y 2)) 11.672 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 11.672 * [taylor]: Taking taylor expansion of -1 in y 11.672 * [backup-simplify]: Simplify -1 into -1 11.672 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.672 * [taylor]: Taking taylor expansion of y in y 11.672 * [backup-simplify]: Simplify 0 into 0 11.672 * [backup-simplify]: Simplify 1 into 1 11.673 * [backup-simplify]: Simplify (* 1 1) into 1 11.673 * [backup-simplify]: Simplify (* -1 1) into -1 11.673 * [backup-simplify]: Simplify -1 into -1 11.673 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 11.681 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (pow y 2))) into 0 11.681 * [taylor]: Taking taylor expansion of 0 in y 11.681 * [backup-simplify]: Simplify 0 into 0 11.681 * [backup-simplify]: Simplify 0 into 0 11.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.683 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 11.683 * [backup-simplify]: Simplify 0 into 0 11.683 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.698 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 11.698 * [taylor]: Taking taylor expansion of 0 in y 11.698 * [backup-simplify]: Simplify 0 into 0 11.698 * [backup-simplify]: Simplify 0 into 0 11.698 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.707 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 11.707 * [backup-simplify]: Simplify 0 into 0 11.708 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 11.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.711 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 11.711 * [taylor]: Taking taylor expansion of 0 in y 11.711 * [backup-simplify]: Simplify 0 into 0 11.711 * [backup-simplify]: Simplify 0 into 0 11.716 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) 2) (/ 1 (/ 1 (- x))))) into (/ x (pow y 2)) 11.716 * * * [progress]: simplifying candidates 11.757 * [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)) 11.760 * * [simplify]: iteration 0: 110 enodes 11.845 * * [simplify]: iteration 1: 328 enodes 12.626 * * [simplify]: iteration 2: 1045 enodes 15.953 * * [simplify]: iteration 3: 3093 enodes 18.740 * * [simplify]: iteration complete: 5475 enodes 18.748 * * [simplify]: Extracting #0: cost 29 inf + 0 18.751 * * [simplify]: Extracting #1: cost 399 inf + 1 18.799 * * [simplify]: Extracting #2: cost 2109 inf + 7331 18.904 * * [simplify]: Extracting #3: cost 989 inf + 148362 18.989 * * [simplify]: Extracting #4: cost 125 inf + 255438 19.131 * * [simplify]: Extracting #5: cost 2 inf + 281957 19.415 * * [simplify]: Extracting #6: cost 0 inf + 282623 19.877 * [simplify]: Simplified to: (/ 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))) (log (/ x (* y y))) (exp (/ x (* y y))) (* (/ x (* y y)) (* (/ x (* y y)) (/ x (* y y)))) (* (/ x (* y y)) (* (/ x (* y y)) (/ x (* y y)))) (* (/ x (* y y)) (* (/ x (* y y)) (/ x (* y y)))) (* (/ x (* y y)) (* (/ x (* y y)) (/ x (* 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) (* (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 (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt 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 y) (sqrt y)) (/ x y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ (/ x y) (* (cbrt y) (cbrt y))) (/ (/ x y) (sqrt y)) (/ x y) (/ x y) (/ x y) (/ (cbrt (/ x y)) y) (/ (sqrt (/ x y)) y) (/ (cbrt x) (* y (cbrt y))) (/ (/ (cbrt x) y) (sqrt y)) (/ (/ (cbrt x) y) y) (/ (/ (sqrt x) (cbrt y)) y) (/ (/ (sqrt x) (sqrt y)) y) (/ (/ (sqrt x) y) y) (/ x (* (cbrt y) y)) (/ (/ x y) (sqrt y)) (/ x (* y y)) (/ x (* y y)) (* (/ 1 y) (/ 1 y)) (/ x y) (/ x y) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) 19.909 * * * [progress]: adding candidates to table 20.978 * * [progress]: iteration 4 / 4 20.978 * * * [progress]: picking best candidate 21.125 * * * * [pick]: Picked # 21.130 * * * [progress]: localizing error 21.215 * * * [progress]: generating rewritten candidates 21.215 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 21.253 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 21.306 * * * [progress]: generating series expansions 21.306 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 21.340 * [backup-simplify]: Simplify (/ 1 (/ y (/ x y))) into (/ x (pow y 2)) 21.340 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 21.340 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 21.340 * [taylor]: Taking taylor expansion of x in x 21.340 * [backup-simplify]: Simplify 0 into 0 21.340 * [backup-simplify]: Simplify 1 into 1 21.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 21.340 * [taylor]: Taking taylor expansion of y in x 21.340 * [backup-simplify]: Simplify y into y 21.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 21.340 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 21.340 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 21.341 * [taylor]: Taking taylor expansion of x in y 21.341 * [backup-simplify]: Simplify x into x 21.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 21.341 * [taylor]: Taking taylor expansion of y in y 21.341 * [backup-simplify]: Simplify 0 into 0 21.341 * [backup-simplify]: Simplify 1 into 1 21.681 * [backup-simplify]: Simplify (* 1 1) into 1 21.681 * [backup-simplify]: Simplify (/ x 1) into x 21.681 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 21.681 * [taylor]: Taking taylor expansion of x in y 21.681 * [backup-simplify]: Simplify x into x 21.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 21.682 * [taylor]: Taking taylor expansion of y in y 21.682 * [backup-simplify]: Simplify 0 into 0 21.682 * [backup-simplify]: Simplify 1 into 1 21.682 * [backup-simplify]: Simplify (* 1 1) into 1 21.683 * [backup-simplify]: Simplify (/ x 1) into x 21.683 * [taylor]: Taking taylor expansion of x in x 21.683 * [backup-simplify]: Simplify 0 into 0 21.683 * [backup-simplify]: Simplify 1 into 1 21.683 * [backup-simplify]: Simplify 1 into 1 21.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 21.684 * [taylor]: Taking taylor expansion of 0 in x 21.685 * [backup-simplify]: Simplify 0 into 0 21.685 * [backup-simplify]: Simplify 0 into 0 21.685 * [backup-simplify]: Simplify 0 into 0 21.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.693 * [taylor]: Taking taylor expansion of 0 in x 21.693 * [backup-simplify]: Simplify 0 into 0 21.693 * [backup-simplify]: Simplify 0 into 0 21.693 * [backup-simplify]: Simplify 0 into 0 21.693 * [backup-simplify]: Simplify 0 into 0 21.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.712 * [taylor]: Taking taylor expansion of 0 in x 21.712 * [backup-simplify]: Simplify 0 into 0 21.712 * [backup-simplify]: Simplify 0 into 0 21.712 * [backup-simplify]: Simplify (* 1 (* x (pow y -2))) into (/ x (pow y 2)) 21.712 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 y) (/ (/ 1 x) (/ 1 y)))) into (/ (pow y 2) x) 21.712 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 21.712 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 21.712 * [taylor]: Taking taylor expansion of (pow y 2) in x 21.712 * [taylor]: Taking taylor expansion of y in x 21.712 * [backup-simplify]: Simplify y into y 21.712 * [taylor]: Taking taylor expansion of x in x 21.713 * [backup-simplify]: Simplify 0 into 0 21.713 * [backup-simplify]: Simplify 1 into 1 21.713 * [backup-simplify]: Simplify (* y y) into (pow y 2) 21.713 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 21.713 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 21.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 21.713 * [taylor]: Taking taylor expansion of y in y 21.713 * [backup-simplify]: Simplify 0 into 0 21.713 * [backup-simplify]: Simplify 1 into 1 21.713 * [taylor]: Taking taylor expansion of x in y 21.713 * [backup-simplify]: Simplify x into x 21.713 * [backup-simplify]: Simplify (* 1 1) into 1 21.713 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 21.713 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 21.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 21.713 * [taylor]: Taking taylor expansion of y in y 21.714 * [backup-simplify]: Simplify 0 into 0 21.714 * [backup-simplify]: Simplify 1 into 1 21.714 * [taylor]: Taking taylor expansion of x in y 21.714 * [backup-simplify]: Simplify x into x 21.714 * [backup-simplify]: Simplify (* 1 1) into 1 21.714 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 21.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.714 * [taylor]: Taking taylor expansion of x in x 21.714 * [backup-simplify]: Simplify 0 into 0 21.714 * [backup-simplify]: Simplify 1 into 1 21.715 * [backup-simplify]: Simplify (/ 1 1) into 1 21.715 * [backup-simplify]: Simplify 1 into 1 21.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.715 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 21.715 * [taylor]: Taking taylor expansion of 0 in x 21.715 * [backup-simplify]: Simplify 0 into 0 21.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.716 * [backup-simplify]: Simplify 0 into 0 21.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.717 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 21.717 * [taylor]: Taking taylor expansion of 0 in x 21.717 * [backup-simplify]: Simplify 0 into 0 21.717 * [backup-simplify]: Simplify 0 into 0 21.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.718 * [backup-simplify]: Simplify 0 into 0 21.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.719 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 21.719 * [taylor]: Taking taylor expansion of 0 in x 21.719 * [backup-simplify]: Simplify 0 into 0 21.720 * [backup-simplify]: Simplify 0 into 0 21.720 * [backup-simplify]: Simplify 0 into 0 21.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.726 * [backup-simplify]: Simplify 0 into 0 21.726 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x)) (pow (/ 1 y) 2))) into (/ x (pow y 2)) 21.727 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (pow y 2) x)) 21.727 * [approximate]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in (y x) around 0 21.727 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 21.727 * [taylor]: Taking taylor expansion of -1 in x 21.727 * [backup-simplify]: Simplify -1 into -1 21.727 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 21.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 21.727 * [taylor]: Taking taylor expansion of y in x 21.727 * [backup-simplify]: Simplify y into y 21.727 * [taylor]: Taking taylor expansion of x in x 21.727 * [backup-simplify]: Simplify 0 into 0 21.727 * [backup-simplify]: Simplify 1 into 1 21.727 * [backup-simplify]: Simplify (* y y) into (pow y 2) 21.727 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 21.727 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 21.727 * [taylor]: Taking taylor expansion of -1 in y 21.727 * [backup-simplify]: Simplify -1 into -1 21.727 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 21.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 21.727 * [taylor]: Taking taylor expansion of y in y 21.727 * [backup-simplify]: Simplify 0 into 0 21.727 * [backup-simplify]: Simplify 1 into 1 21.727 * [taylor]: Taking taylor expansion of x in y 21.727 * [backup-simplify]: Simplify x into x 21.728 * [backup-simplify]: Simplify (* 1 1) into 1 21.728 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 21.728 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 21.728 * [taylor]: Taking taylor expansion of -1 in y 21.728 * [backup-simplify]: Simplify -1 into -1 21.728 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 21.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 21.728 * [taylor]: Taking taylor expansion of y in y 21.728 * [backup-simplify]: Simplify 0 into 0 21.728 * [backup-simplify]: Simplify 1 into 1 21.728 * [taylor]: Taking taylor expansion of x in y 21.728 * [backup-simplify]: Simplify x into x 21.729 * [backup-simplify]: Simplify (* 1 1) into 1 21.729 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 21.729 * [backup-simplify]: Simplify (* -1 (/ 1 x)) into (/ -1 x) 21.729 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.729 * [taylor]: Taking taylor expansion of -1 in x 21.729 * [backup-simplify]: Simplify -1 into -1 21.729 * [taylor]: Taking taylor expansion of x in x 21.729 * [backup-simplify]: Simplify 0 into 0 21.729 * [backup-simplify]: Simplify 1 into 1 21.746 * [backup-simplify]: Simplify (/ -1 1) into -1 21.746 * [backup-simplify]: Simplify -1 into -1 21.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.747 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 21.765 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 x))) into 0 21.765 * [taylor]: Taking taylor expansion of 0 in x 21.765 * [backup-simplify]: Simplify 0 into 0 21.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.766 * [backup-simplify]: Simplify 0 into 0 21.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.768 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 21.785 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 21.785 * [taylor]: Taking taylor expansion of 0 in x 21.785 * [backup-simplify]: Simplify 0 into 0 21.785 * [backup-simplify]: Simplify 0 into 0 21.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.786 * [backup-simplify]: Simplify 0 into 0 21.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.795 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 21.797 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 21.797 * [taylor]: Taking taylor expansion of 0 in x 21.797 * [backup-simplify]: Simplify 0 into 0 21.797 * [backup-simplify]: Simplify 0 into 0 21.797 * [backup-simplify]: Simplify 0 into 0 21.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.798 * [backup-simplify]: Simplify 0 into 0 21.799 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- x))) (pow (/ 1 (- y)) 2))) into (/ x (pow y 2)) 21.799 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 21.799 * [backup-simplify]: Simplify (/ y (/ x y)) into (/ (pow y 2) x) 21.799 * [approximate]: Taking taylor expansion of (/ (pow y 2) x) in (y x) around 0 21.799 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 21.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 21.799 * [taylor]: Taking taylor expansion of y in x 21.799 * [backup-simplify]: Simplify y into y 21.799 * [taylor]: Taking taylor expansion of x in x 21.799 * [backup-simplify]: Simplify 0 into 0 21.799 * [backup-simplify]: Simplify 1 into 1 21.799 * [backup-simplify]: Simplify (* y y) into (pow y 2) 21.799 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 21.799 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 21.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 21.799 * [taylor]: Taking taylor expansion of y in y 21.799 * [backup-simplify]: Simplify 0 into 0 21.799 * [backup-simplify]: Simplify 1 into 1 21.800 * [taylor]: Taking taylor expansion of x in y 21.800 * [backup-simplify]: Simplify x into x 21.819 * [backup-simplify]: Simplify (* 1 1) into 1 21.819 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 21.819 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 21.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 21.819 * [taylor]: Taking taylor expansion of y in y 21.819 * [backup-simplify]: Simplify 0 into 0 21.819 * [backup-simplify]: Simplify 1 into 1 21.819 * [taylor]: Taking taylor expansion of x in y 21.819 * [backup-simplify]: Simplify x into x 21.819 * [backup-simplify]: Simplify (* 1 1) into 1 21.820 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 21.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.820 * [taylor]: Taking taylor expansion of x in x 21.820 * [backup-simplify]: Simplify 0 into 0 21.820 * [backup-simplify]: Simplify 1 into 1 21.820 * [backup-simplify]: Simplify (/ 1 1) into 1 21.820 * [backup-simplify]: Simplify 1 into 1 21.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.821 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 21.821 * [taylor]: Taking taylor expansion of 0 in x 21.821 * [backup-simplify]: Simplify 0 into 0 21.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.828 * [backup-simplify]: Simplify 0 into 0 21.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.829 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 21.829 * [taylor]: Taking taylor expansion of 0 in x 21.829 * [backup-simplify]: Simplify 0 into 0 21.830 * [backup-simplify]: Simplify 0 into 0 21.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.830 * [backup-simplify]: Simplify 0 into 0 21.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.832 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 21.832 * [taylor]: Taking taylor expansion of 0 in x 21.832 * [backup-simplify]: Simplify 0 into 0 21.832 * [backup-simplify]: Simplify 0 into 0 21.832 * [backup-simplify]: Simplify 0 into 0 21.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.833 * [backup-simplify]: Simplify 0 into 0 21.833 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow y 2))) into (/ (pow y 2) x) 21.834 * [backup-simplify]: Simplify (/ (/ 1 y) (/ (/ 1 x) (/ 1 y))) into (/ x (pow y 2)) 21.834 * [approximate]: Taking taylor expansion of (/ x (pow y 2)) in (y x) around 0 21.834 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 21.834 * [taylor]: Taking taylor expansion of x in x 21.834 * [backup-simplify]: Simplify 0 into 0 21.834 * [backup-simplify]: Simplify 1 into 1 21.834 * [taylor]: Taking taylor expansion of (pow y 2) in x 21.834 * [taylor]: Taking taylor expansion of y in x 21.834 * [backup-simplify]: Simplify y into y 21.834 * [backup-simplify]: Simplify (* y y) into (pow y 2) 21.834 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 21.834 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 21.834 * [taylor]: Taking taylor expansion of x in y 21.834 * [backup-simplify]: Simplify x into x 21.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 21.834 * [taylor]: Taking taylor expansion of y in y 21.834 * [backup-simplify]: Simplify 0 into 0 21.834 * [backup-simplify]: Simplify 1 into 1 21.835 * [backup-simplify]: Simplify (* 1 1) into 1 21.835 * [backup-simplify]: Simplify (/ x 1) into x 21.835 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 21.835 * [taylor]: Taking taylor expansion of x in y 21.835 * [backup-simplify]: Simplify x into x 21.835 * [taylor]: Taking taylor expansion of (pow y 2) in y 21.835 * [taylor]: Taking taylor expansion of y in y 21.835 * [backup-simplify]: Simplify 0 into 0 21.835 * [backup-simplify]: Simplify 1 into 1 21.835 * [backup-simplify]: Simplify (* 1 1) into 1 21.835 * [backup-simplify]: Simplify (/ x 1) into x 21.836 * [taylor]: Taking taylor expansion of x in x 21.836 * [backup-simplify]: Simplify 0 into 0 21.836 * [backup-simplify]: Simplify 1 into 1 21.836 * [backup-simplify]: Simplify 1 into 1 21.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 21.842 * [taylor]: Taking taylor expansion of 0 in x 21.842 * [backup-simplify]: Simplify 0 into 0 21.842 * [backup-simplify]: Simplify 0 into 0 21.842 * [backup-simplify]: Simplify 0 into 0 21.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.852 * [taylor]: Taking taylor expansion of 0 in x 21.852 * [backup-simplify]: Simplify 0 into 0 21.852 * [backup-simplify]: Simplify 0 into 0 21.852 * [backup-simplify]: Simplify 0 into 0 21.853 * [backup-simplify]: Simplify 0 into 0 21.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.856 * [taylor]: Taking taylor expansion of 0 in x 21.856 * [backup-simplify]: Simplify 0 into 0 21.856 * [backup-simplify]: Simplify 0 into 0 21.856 * [backup-simplify]: Simplify (* 1 (* (/ 1 x) (pow (/ 1 y) -2))) into (/ (pow y 2) x) 21.856 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ x (pow y 2))) 21.856 * [approximate]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in (y x) around 0 21.856 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in x 21.857 * [taylor]: Taking taylor expansion of -1 in x 21.857 * [backup-simplify]: Simplify -1 into -1 21.857 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 21.857 * [taylor]: Taking taylor expansion of x in x 21.857 * [backup-simplify]: Simplify 0 into 0 21.857 * [backup-simplify]: Simplify 1 into 1 21.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 21.857 * [taylor]: Taking taylor expansion of y in x 21.857 * [backup-simplify]: Simplify y into y 21.857 * [backup-simplify]: Simplify (* y y) into (pow y 2) 21.857 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 21.857 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 21.857 * [taylor]: Taking taylor expansion of -1 in y 21.857 * [backup-simplify]: Simplify -1 into -1 21.857 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 21.857 * [taylor]: Taking taylor expansion of x in y 21.857 * [backup-simplify]: Simplify x into x 21.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 21.857 * [taylor]: Taking taylor expansion of y in y 21.857 * [backup-simplify]: Simplify 0 into 0 21.857 * [backup-simplify]: Simplify 1 into 1 21.858 * [backup-simplify]: Simplify (* 1 1) into 1 21.858 * [backup-simplify]: Simplify (/ x 1) into x 21.858 * [taylor]: Taking taylor expansion of (* -1 (/ x (pow y 2))) in y 21.858 * [taylor]: Taking taylor expansion of -1 in y 21.858 * [backup-simplify]: Simplify -1 into -1 21.858 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 21.858 * [taylor]: Taking taylor expansion of x in y 21.858 * [backup-simplify]: Simplify x into x 21.858 * [taylor]: Taking taylor expansion of (pow y 2) in y 21.858 * [taylor]: Taking taylor expansion of y in y 21.858 * [backup-simplify]: Simplify 0 into 0 21.858 * [backup-simplify]: Simplify 1 into 1 21.858 * [backup-simplify]: Simplify (* 1 1) into 1 21.859 * [backup-simplify]: Simplify (/ x 1) into x 21.859 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 21.859 * [taylor]: Taking taylor expansion of (* -1 x) in x 21.859 * [taylor]: Taking taylor expansion of -1 in x 21.859 * [backup-simplify]: Simplify -1 into -1 21.859 * [taylor]: Taking taylor expansion of x in x 21.859 * [backup-simplify]: Simplify 0 into 0 21.859 * [backup-simplify]: Simplify 1 into 1 21.860 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 21.860 * [backup-simplify]: Simplify -1 into -1 21.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 21.870 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x)) into 0 21.870 * [taylor]: Taking taylor expansion of 0 in x 21.870 * [backup-simplify]: Simplify 0 into 0 21.870 * [backup-simplify]: Simplify 0 into 0 21.871 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 21.871 * [backup-simplify]: Simplify 0 into 0 21.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.874 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x))) into 0 21.874 * [taylor]: Taking taylor expansion of 0 in x 21.874 * [backup-simplify]: Simplify 0 into 0 21.874 * [backup-simplify]: Simplify 0 into 0 21.875 * [backup-simplify]: Simplify 0 into 0 21.876 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.880 * [backup-simplify]: Simplify 0 into 0 21.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 21.892 * [taylor]: Taking taylor expansion of 0 in x 21.892 * [backup-simplify]: Simplify 0 into 0 21.892 * [backup-simplify]: Simplify 0 into 0 21.892 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) -2))) into (/ (pow y 2) x) 21.893 * * * [progress]: simplifying candidates 21.909 * [simplify]: Simplifying: (- 1) (- (- (log y) (- (log x) (log y)))) (- (- (log y) (log (/ x y)))) (- (log (/ y (/ x y)))) (- 0 (- (log y) (- (log x) (log y)))) (- 0 (- (log y) (log (/ x y)))) (- 0 (log (/ y (/ x y)))) (- (log 1) (- (log y) (- (log x) (log y)))) (- (log 1) (- (log y) (log (/ x y)))) (- (log 1) (log (/ y (/ 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 1) 1) (* (* (/ y (/ x y)) (/ y (/ x y))) (/ 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) (- (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (cbrt 1) (cbrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (/ x y)))) (/ (cbrt 1) (sqrt (/ y (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ (cbrt y) (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (cbrt 1) (/ (cbrt y) (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ (cbrt y) (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) 1))) (/ (cbrt 1) (/ (cbrt y) (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (cbrt y) (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y)))) (/ (cbrt 1) (/ (cbrt y) (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (cbrt 1) (/ (cbrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt 1) (/ (cbrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) x)) (/ (cbrt 1) (/ (cbrt y) (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ (sqrt y) (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (sqrt (/ x y)))) (/ (cbrt 1) (/ (sqrt y) (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ (sqrt y) (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ (sqrt x) 1))) (/ (cbrt 1) (/ (sqrt y) (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ (sqrt y) (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 (sqrt y)))) (/ (cbrt 1) (/ (sqrt y) (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (/ 1 1))) (/ (cbrt 1) (/ (sqrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) 1)) (/ (cbrt 1) (/ (sqrt y) (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) x)) (/ (cbrt 1) (/ (sqrt y) (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (cbrt 1) (/ y (cbrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (/ x y)))) (/ (cbrt 1) (/ y (sqrt (/ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ (cbrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (cbrt 1) (/ y (/ (cbrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt x) (cbrt x)) 1))) (/ (cbrt 1) (/ y (/ (cbrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ (sqrt x) (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) (sqrt y)))) (/ (cbrt 1) (/ y (/ (sqrt x) (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (sqrt x) 1))) (/ (cbrt 1) (/ y (/ (sqrt x) y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y))))) (/ (cbrt 1) (/ y (/ x (cbrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 (sqrt y)))) (/ (cbrt 1) (/ y (/ x (sqrt y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ 1 1))) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ y (/ 1 y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ y (/ x y))) (/ (* (cbrt 1) (cbrt 1)) y) (/ (cbrt 1) (/ 1 (/ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ y x)) (/ (cbrt 1) y) (/ (sqrt 1) (* (cbrt (/ y (/ x y))) (cbrt (/ y (/ x y))))) (/ (sqrt 1) (cbrt (/ y (/ x y)))) (/ (sqrt 1) (sqrt (/ y (/ x y)))) (/ (sqrt 1) (sqrt (/ y (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (sqrt 1) (/ (cbrt y) (cbrt (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (sqrt (/ x y)))) (/ (sqrt 1) (/ (cbrt y) (sqrt (/ x y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) (sqrt y)))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (* (cbrt x) (cbrt x)) 1))) (/ (sqrt 1) (/ (cbrt y) (/ (cbrt x) y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ (sqrt x) (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (cbrt y) (/ (sqrt x) (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ (sqrt x) 1))) (/ (sqrt 1) (/ (cbrt y) (/ (sqrt x) y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (cbrt y) (/ x (cbrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y)))) (/ (sqrt 1) (/ (cbrt y) (/ x (sqrt y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (/ 1 1))) (/ (sqrt 1) (/ (cbrt y) (/ x y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) 1)) (/ (sqrt 1) (/ (cbrt y) (/ x y))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) x)) (/ (sqrt 1) (/ (cbrt y) (/ 1 y))) (/ (sqrt 1) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y))))) (/ (sqrt 1) (/ (sqrt y) (cbrt (/ x y)))) (/ (sqrt 1) (/ (sqrt y) (sqrt (/ x y)))) (/ (sqrt 1) (/ (sqrt y) (sqrt (/ x y)))) (/ (sqrt 1) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))) (/ (sqrt 1) (/ (sqrt y) (/ (cbrt x) (cbrt y)))) (/ (sqrt 1) (/ (sqrt y) (/ (* (cbrt 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y) (cbrt y)) (/ (sqrt x) 1)) (/ (cbrt y) (/ (sqrt x) y)) (/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt y) (/ x (cbrt y))) (/ (* (cbrt y) (cbrt y)) (/ 1 (sqrt y))) (/ (cbrt y) (/ x (sqrt y))) (/ (* (cbrt y) (cbrt y)) (/ 1 1)) (/ (cbrt y) (/ x y)) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (/ x y)) (/ (* (cbrt y) (cbrt y)) x) (/ (cbrt y) (/ 1 y)) (/ (sqrt y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt y) (cbrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (sqrt y) (/ (cbrt x) (cbrt y))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (sqrt y) (/ (cbrt x) (sqrt y))) (/ (sqrt y) (/ (* (cbrt x) (cbrt x)) 1)) (/ (sqrt y) (/ (cbrt x) y)) (/ (sqrt y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (sqrt y) (/ (sqrt x) (cbrt y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (/ (sqrt x) (sqrt y))) (/ (sqrt y) (/ (sqrt x) 1)) (/ (sqrt y) (/ (sqrt x) y)) (/ (sqrt y) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt y) (/ x (cbrt y))) (/ (sqrt y) (/ 1 (sqrt y))) (/ (sqrt y) (/ x (sqrt y))) (/ (sqrt y) (/ 1 1)) (/ (sqrt y) (/ x y)) (/ (sqrt y) 1) (/ (sqrt y) (/ x y)) (/ (sqrt y) x) (/ (sqrt y) (/ 1 y)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ y (sqrt (/ x y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ y (/ (cbrt x) (cbrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ y (/ (cbrt x) (sqrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ y (/ (cbrt x) y)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ y (/ (sqrt x) (cbrt y))) (/ 1 (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) (sqrt y))) (/ 1 (/ (sqrt x) 1)) (/ y (/ (sqrt x) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ y (/ x (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ y (/ x (sqrt y))) (/ 1 (/ 1 1)) (/ y (/ x y)) (/ 1 1) (/ y (/ x y)) (/ 1 x) (/ y (/ 1 y)) (/ 1 (/ x y)) (/ (/ x y) y) (/ y (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (sqrt (/ x y))) (/ y (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ y (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ y (/ (* (cbrt x) (cbrt x)) 1)) (/ y (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ y (/ (sqrt x) (sqrt y))) (/ y (/ (sqrt x) 1)) (/ y (/ 1 (* (cbrt y) (cbrt y)))) (/ y (/ 1 (sqrt y))) (/ y (/ 1 1)) (/ y 1) (/ y x) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ (/ x y) y) (/ y x) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ (pow y 2) x) (/ (pow y 2) x) (/ (pow y 2) x) 21.935 * * [simplify]: iteration 0: 417 enodes 22.683 * * [simplify]: iteration 1: 1120 enodes 23.943 * * [simplify]: iteration 2: 2969 enodes 25.798 * * [simplify]: iteration complete: 5000 enodes 25.798 * * [simplify]: Extracting #0: cost 164 inf + 0 25.815 * * [simplify]: Extracting #1: cost 1394 inf + 375 25.839 * * [simplify]: Extracting #2: cost 1206 inf + 65890 25.906 * * [simplify]: Extracting #3: cost 305 inf + 223600 26.166 * * [simplify]: Extracting #4: cost 19 inf + 267280 26.299 * * [simplify]: Extracting #5: cost 0 inf + 269727 26.392 * * [simplify]: Extracting #6: cost 0 inf + 269367 26.499 * [simplify]: Simplified to: -1 (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))) (log (/ x (* y y))) (exp (/ x (* y y))) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* 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))) -1 (- (* y (/ y x))) (* (/ 1 (cbrt (* y (/ y x)))) (/ 1 (cbrt (* y (/ y x))))) (/ 1 (cbrt (* y (/ y x)))) (/ 1 (sqrt (* y (/ y x)))) (/ 1 (sqrt (* y (/ y x)))) (* (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (/ 1 (/ (cbrt y) (cbrt (/ x y))))) (/ (* 1 (cbrt (/ x y))) (cbrt y)) (* (/ (/ 1 (cbrt y)) (cbrt y)) (sqrt (/ x y))) (/ (* 1 (sqrt (/ x y))) (cbrt y)) (/ (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (* 1 (/ 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(cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (sqrt x))) (* (/ (sqrt x) (cbrt y)) (/ 1 (cbrt y))) (/ (* (/ (sqrt x) (cbrt y)) (/ 1 (cbrt y))) (sqrt y)) (/ 1 (* (sqrt y) (/ (cbrt y) (sqrt x)))) (* (/ (sqrt x) (cbrt y)) (/ 1 (cbrt y))) (/ 1 (/ (cbrt y) (/ (sqrt x) y))) (* (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) x)) (* (/ (/ 1 (cbrt y)) (cbrt y)) (/ 1 (sqrt y))) (* (/ x (sqrt y)) (/ 1 (cbrt y))) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (* 1 (/ x y)) (cbrt y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (* 1 (/ x y)) (cbrt y)) (/ 1 (/ (* (cbrt y) (cbrt y)) x)) (/ 1 (* (cbrt y) y)) (* (/ 1 (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt (/ x y)) (/ 1 (sqrt y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ 1 (sqrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ 1 (sqrt y))) (/ 1 (/ y (cbrt x))) (* 1 (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (/ 1 (/ (sqrt y) (/ (cbrt x) y))) (/ (/ 1 (/ (sqrt y) (sqrt x))) (* (cbrt y) (cbrt y))) (* (/ (sqrt x) (cbrt y)) (/ 1 (sqrt y))) (/ 1 (/ y (sqrt x))) (/ 1 (/ y (sqrt x))) (* (/ 1 (sqrt y)) (sqrt x)) (* (/ 1 (sqrt y)) (/ (sqrt x) y)) (* (/ (/ 1 (sqrt y)) (cbrt y)) (/ 1 (cbrt y))) (* (/ 1 (sqrt y)) (/ x (cbrt y))) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (/ 1 (/ y x)) (/ 1 (sqrt y)) (* (/ 1 (sqrt y)) (/ x y)) (/ 1 (sqrt y)) (* (/ 1 (sqrt y)) (/ x y)) (* (/ 1 (sqrt y)) x) (/ (/ 1 (sqrt y)) y) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (* 1 (cbrt (/ x y))) y) (sqrt (/ x y)) (* (sqrt (/ x y)) (/ 1 y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (* 1 (/ (cbrt x) (cbrt y))) y) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (* (/ 1 y) (cbrt x)) (sqrt y)) (* (cbrt x) (cbrt x)) (/ (* (/ 1 y) (cbrt x)) y) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ 1 (* (/ y (sqrt x)) (cbrt y))) (/ (sqrt x) (sqrt y)) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (sqrt x) (/ 1 (/ (* y y) (sqrt x))) (/ (/ 1 (cbrt y)) (cbrt y)) (* (/ 1 y) (/ x (cbrt y))) (/ 1 (sqrt y)) (* (/ 1 (sqrt y)) (/ x y)) 1 (/ x (* y y)) 1 (/ x (* y y)) x (/ (/ 1 y) y) 1 (/ x (* y y)) (/ 1 y) (/ x y) (* (/ 1 y) x) (/ 1 y) (* (/ 1 (cbrt (* y (/ y x)))) (/ 1 (cbrt (* y (/ y x))))) (/ 1 (cbrt (* y (/ y x)))) (/ 1 (sqrt (* y (/ y x)))) (/ 1 (sqrt (* y (/ y x)))) (* (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (/ 1 (/ (cbrt y) (cbrt (/ x y))))) (/ (* 1 (cbrt (/ x y))) (cbrt y)) (* (/ (/ 1 (cbrt y)) (cbrt y)) (sqrt (/ x y))) (/ (* 1 (sqrt (/ x y))) (cbrt y)) (/ (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (* 1 (/ (cbrt x) (cbrt y))) (cbrt y)) (/ (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (sqrt y)) (/ 1 (* (/ (cbrt y) (cbrt x)) (sqrt y))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ 1 (cbrt y)) (/ (cbrt x) y)) (/ 1 (/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (sqrt x))) (* (/ (sqrt x) (cbrt y)) (/ 1 (cbrt y))) (/ (* (/ (sqrt x) (cbrt y)) (/ 1 (cbrt y))) (sqrt y)) (/ 1 (* (sqrt y) (/ (cbrt y) (sqrt x)))) (* (/ (sqrt x) (cbrt y)) (/ 1 (cbrt y))) (/ 1 (/ (cbrt y) (/ (sqrt x) y))) (* (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) x)) (* (/ (/ 1 (cbrt y)) (cbrt y)) (/ 1 (sqrt y))) (* (/ x (sqrt y)) (/ 1 (cbrt y))) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (* 1 (/ x y)) (cbrt y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (* 1 (/ x y)) (cbrt y)) (/ 1 (/ (* (cbrt y) (cbrt y)) x)) (/ 1 (* (cbrt y) y)) (* (/ 1 (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (cbrt (/ x y)) (/ 1 (sqrt y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ 1 (sqrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ 1 (sqrt y))) (/ 1 (/ y (cbrt x))) (* 1 (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (/ 1 (/ (sqrt y) (/ (cbrt x) y))) (/ (/ 1 (/ (sqrt y) (sqrt x))) (* (cbrt y) (cbrt y))) (* (/ (sqrt x) (cbrt y)) (/ 1 (sqrt y))) (/ 1 (/ y (sqrt x))) (/ 1 (/ y (sqrt x))) (* (/ 1 (sqrt y)) (sqrt x)) (* (/ 1 (sqrt y)) (/ (sqrt x) y)) (* (/ (/ 1 (sqrt y)) (cbrt y)) (/ 1 (cbrt y))) (* (/ 1 (sqrt y)) (/ x (cbrt y))) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (/ 1 (/ y x)) (/ 1 (sqrt y)) (* (/ 1 (sqrt y)) (/ x y)) (/ 1 (sqrt y)) (* (/ 1 (sqrt y)) (/ x y)) (* (/ 1 (sqrt y)) x) (/ (/ 1 (sqrt y)) y) (* (cbrt (/ x y)) (cbrt (/ x y))) (/ (* 1 (cbrt (/ x y))) y) (sqrt (/ x y)) (* (sqrt (/ x y)) (/ 1 y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (* 1 (/ (cbrt x) (cbrt y))) y) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ (* (/ 1 y) (cbrt x)) (sqrt y)) (* (cbrt x) (cbrt x)) (/ (* (/ 1 y) (cbrt x)) y) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ 1 (* (/ y (sqrt x)) (cbrt y))) (/ (sqrt x) (sqrt y)) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (sqrt x) (/ 1 (/ (* y y) (sqrt x))) (/ (/ 1 (cbrt y)) (cbrt y)) (* (/ 1 y) (/ x (cbrt y))) (/ 1 (sqrt y)) (* (/ 1 (sqrt y)) (/ x y)) 1 (/ x (* y y)) 1 (/ x (* y y)) x (/ (/ 1 y) y) 1 (/ x (* y y)) (/ 1 y) (/ x y) (* (/ 1 y) x) (/ 1 y) (/ x (* y y)) (* y (/ y x)) (* (/ 1 (cbrt (* y (/ y x)))) (/ 1 (cbrt (* y (/ y x))))) (/ 1 (sqrt (* y (/ y x)))) (* (/ 1 (/ (cbrt y) (cbrt (/ x y)))) (/ 1 (/ (cbrt y) (cbrt (/ x y))))) (* (/ (/ 1 (cbrt y)) (cbrt y)) (sqrt (/ x y))) (/ (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (cbrt y) (cbrt y))) (/ (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ 1 (/ (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (sqrt x))) (/ (* (/ (sqrt x) (cbrt y)) (/ 1 (cbrt y))) (sqrt y)) (* (/ (sqrt x) (cbrt y)) (/ 1 (cbrt y))) (* (/ 1 (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ (/ 1 (cbrt y)) (cbrt y)) (/ 1 (sqrt y))) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ 1 (/ (* (cbrt y) (cbrt y)) x)) (* (/ 1 (sqrt y)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ (cbrt x) (/ (sqrt y) (cbrt x))) (/ 1 (sqrt y))) (* 1 (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (/ (/ 1 (/ (sqrt y) (sqrt x))) (* (cbrt y) (cbrt y))) (/ 1 (/ y (sqrt x))) (* (/ 1 (sqrt y)) (sqrt x)) (* (/ (/ 1 (sqrt y)) (cbrt y)) (/ 1 (cbrt y))) (* (/ 1 (sqrt y)) (/ 1 (sqrt y))) (/ 1 (sqrt y)) (/ 1 (sqrt y)) (* (/ 1 (sqrt y)) x) (* (cbrt (/ x y)) (cbrt (/ x y))) (sqrt (/ x y)) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (/ (sqrt y) (cbrt x))) (* (cbrt x) (cbrt x)) (/ (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (sqrt y)) (sqrt x) (/ (/ 1 (cbrt y)) (cbrt y)) (/ 1 (sqrt y)) 1 1 x 1 (/ 1 y) (* (/ 1 y) x) (* y (/ y x)) (* y (/ y x)) (* y (/ y x)) (/ 1 y) (log (* y (/ y x))) (log (* y (/ y x))) (log (* y (/ y x))) (exp (* y (/ y x))) (* (* (* y (/ y x)) (* y (/ y x))) (* y (/ y x))) (* (* (* y (/ y x)) (* y (/ y x))) (* y (/ 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))) (- y) (- (/ x y)) (* (/ (cbrt y) (cbrt (/ x y))) (/ (cbrt y) (cbrt (/ x y)))) (/ (cbrt y) (cbrt (/ x y))) (* (/ (cbrt y) (sqrt (/ x y))) (cbrt y)) (/ (cbrt y) (sqrt (/ x y))) (* (/ (cbrt y) (/ (cbrt x) (cbrt y))) (/ (cbrt y) (/ (cbrt x) (cbrt y)))) (* (/ (cbrt y) (cbrt x)) (cbrt y)) (* (sqrt y) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (* (/ (cbrt y) (cbrt x)) (sqrt y)) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (/ (* (cbrt y) y) (cbrt x)) (/ (* (* (cbrt y) (cbrt y)) (* (cbrt 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))) (/ (cbrt y) (/ (sqrt x) y)) (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (/ (* (cbrt y) (cbrt y)) x) (* (/ (cbrt y) (/ 1 (sqrt y))) (cbrt y)) (* (sqrt y) (/ (cbrt y) x)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ x y)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ x y)) (/ (* (cbrt y) (cbrt y)) x) (* (cbrt y) y) (/ (/ (sqrt y) (cbrt (/ x y))) (cbrt (/ x y))) (/ (sqrt y) (cbrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (sqrt y) (sqrt (/ x y))) (/ (/ (sqrt y) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (cbrt y))) (/ (sqrt y) (/ (cbrt x) (cbrt y))) (/ (sqrt y) (/ (cbrt x) (/ (sqrt y) (cbrt x)))) (/ y (cbrt x)) (/ (/ (sqrt y) (cbrt x)) (cbrt x)) (/ (sqrt y) (/ (cbrt x) y)) (/ (* (sqrt y) (* (cbrt y) (cbrt y))) (sqrt x)) (/ (* (sqrt y) (cbrt y)) (sqrt x)) (/ y (sqrt x)) (/ y (sqrt x)) (/ (sqrt y) (sqrt x)) (/ (* (sqrt y) y) (sqrt x)) (/ (sqrt y) (/ (/ 1 (cbrt y)) (cbrt y))) (* (/ (sqrt y) x) (cbrt y)) (/ (sqrt y) (/ 1 (sqrt y))) (/ y x) (sqrt y) (* y (/ (sqrt y) x)) (sqrt y) (* y (/ (sqrt y) x)) (/ (sqrt y) x) (* (sqrt y) y) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ y (sqrt (/ x y))) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (/ y (/ (cbrt x) (cbrt y))) (/ (/ (sqrt y) (cbrt x)) (cbrt x)) (* (/ y (cbrt x)) (sqrt y)) (* (/ 1 (cbrt x)) (/ 1 (cbrt x))) (/ y (/ (cbrt x) y)) (* (* (cbrt y) (cbrt y)) (/ 1 (sqrt x))) (* (/ y (sqrt x)) (cbrt y)) (* (/ 1 (sqrt x)) (sqrt y)) (* (/ y (sqrt x)) (sqrt y)) (/ 1 (sqrt x)) (/ (* y y) (sqrt x)) (* (cbrt y) (cbrt y)) (/ y (/ x (cbrt y))) (sqrt y) (* y (/ (sqrt y) x)) 1 (* y (/ y x)) 1 (* y (/ y x)) (/ 1 x) (* y y) (* (/ 1 x) y) (/ x (* y y)) (/ y (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ y (sqrt (/ x y))) (/ (/ y (/ (cbrt x) (cbrt y))) (/ (cbrt x) (cbrt y))) (* (/ (sqrt y) (cbrt x)) (/ y (cbrt x))) (/ (/ y (cbrt x)) (cbrt x)) (* (* (cbrt y) (cbrt y)) (/ y (sqrt x))) (* (/ y (sqrt x)) (sqrt y)) (/ y (sqrt x)) (* y (* (cbrt y) (cbrt y))) (* (sqrt y) y) y y (/ y x) (/ x (* (cbrt y) y)) (/ (/ x (sqrt y)) y) (/ x (* y y)) (/ y x) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) (/ (* y y) x) (/ (* y y) x) (/ (* y y) x) 26.538 * * * [progress]: adding candidates to table 29.303 * [progress]: [Phase 3 of 3] Extracting. 29.303 * * [regime]: Finding splitpoints for: (# # # # # #) 29.305 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 29.305 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 29.391 * * * * [regimes]: Trying to branch on (* y y) from (# #) 29.481 * * * * [regimes]: Trying to branch on y from (# # # # # #) 29.740 * * * * [regimes]: Trying to branch on x from (# # # # # #) 29.827 * * * [regime]: Found split indices: #