12.764 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.019 * [simplify]: Sending expressions to egg_math: (* h0 (- (* h1 h1) (* h1 h2))) 0.022 * * [simplify]: iteration 0 : 13 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 32 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 92 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 100 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 100 enodes (cost 3 ) 0.031 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.075 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.096 * * * [progress]: generating series expansions 0.096 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.096 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.097 * [taylor]: Taking taylor expansion of 2.0 in y 0.097 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of (- x y) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.097 * [taylor]: Taking taylor expansion of 2.0 in x 0.097 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (- x y) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.097 * [taylor]: Taking taylor expansion of 2.0 in x 0.097 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (- x y) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.099 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.099 * [taylor]: Taking taylor expansion of 2.0 in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of 2.0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.107 * [taylor]: Taking taylor expansion of 2.0 in y 0.107 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.107 * [taylor]: Taking taylor expansion of 2.0 in x 0.107 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.108 * [taylor]: Taking taylor expansion of 2.0 in x 0.108 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of 2.0 in y 0.110 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.110 * [taylor]: Taking taylor expansion of 2.0 in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.122 * [taylor]: Taking taylor expansion of -2.0 in y 0.122 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.123 * [taylor]: Taking taylor expansion of -2.0 in x 0.123 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.123 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.124 * [taylor]: Taking taylor expansion of -2.0 in x 0.124 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.124 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of 2.0 in y 0.126 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.126 * [taylor]: Taking taylor expansion of 2.0 in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.141 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.141 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.141 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (- x y) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (- x y) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (- x y) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [taylor]: Taking taylor expansion of (- y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of 1 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.146 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.147 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of 1 in y 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.157 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.158 * [taylor]: Taking taylor expansion of -1 in y 0.158 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.158 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.158 * [taylor]: Taking taylor expansion of x in y 0.158 * [taylor]: Taking taylor expansion of x in y 0.158 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.158 * [taylor]: Taking taylor expansion of -1 in x 0.158 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.158 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.159 * [taylor]: Taking taylor expansion of -1 in x 0.159 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.159 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of 1 in y 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.172 * * * [progress]: simplifying candidates 0.173 * [simplify]: Simplifying using # : (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (+ (+ (log x) (log (- x y))) (log 2.0)) (+ (log (* x (- x y))) (log 2.0)) (log (* (* x (- x y)) 2.0)) (exp (* (* x (- x y)) 2.0)) (* (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* 2.0 2.0) 2.0)) (* (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (* (* 2.0 2.0) 2.0)) (* (cbrt (* (* x (- x y)) 2.0)) (cbrt (* (* x (- x y)) 2.0))) (cbrt (* (* x (- x y)) 2.0)) (* (* (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0)) (* (* x (- x y)) 2.0)) (sqrt (* (* x (- x y)) 2.0)) (sqrt (* (* x (- x y)) 2.0)) (* (* x (- x y)) (* (cbrt 2.0) (cbrt 2.0))) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) 1) (* (- x y) 2.0) (* (* x (- (pow x 3) (pow y 3))) 2.0) (* (* x (- (* x x) (* y y))) 2.0) (* x (- x y)) (+ (log x) (log (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x x) (* x (- y)) (* x x) (* x (- y)) (* x x) (* (- y) x) (* x x) (* (- y) x) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) (* x 1) (* x (+ (sqrt x) (sqrt y))) (* x 1) (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.173 * [simplify]: Sending expressions to egg_math: (* (* h0 (- h0 h1)) h2) (* (* h0 (- h0 h1)) h2) (+ (+ (log h0) (log (- h0 h1))) (log h2)) (+ (log (* h0 (- h0 h1))) (log h2)) (log (* (* h0 (- h0 h1)) h2)) (exp (* (* h0 (- h0 h1)) h2)) (* (* (* (* h0 h0) h0) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (* h2 h2) h2)) (* (* (* (* h0 (- h0 h1)) (* h0 (- h0 h1))) (* h0 (- h0 h1))) (* (* h2 h2) h2)) (* (cbrt (* (* h0 (- h0 h1)) h2)) (cbrt (* (* h0 (- h0 h1)) h2))) (cbrt (* (* h0 (- h0 h1)) h2)) (* (* (* (* h0 (- h0 h1)) h2) (* (* h0 (- h0 h1)) h2)) (* (* h0 (- h0 h1)) h2)) (sqrt (* (* h0 (- h0 h1)) h2)) (sqrt (* (* h0 (- h0 h1)) h2)) (* (* h0 (- h0 h1)) (* (cbrt h2) (cbrt h2))) (* (* h0 (- h0 h1)) (sqrt h2)) (* (* h0 (- h0 h1)) 1) (* (- h0 h1) h2) (* (* h0 (- (pow h0 3) (pow h1 3))) h2) (* (* h0 (- (* h0 h0) (* h1 h1))) h2) (* h0 (- h0 h1)) (+ (log h0) (log (- h0 h1))) (log (* h0 (- h0 h1))) (exp (* h0 (- h0 h1))) (* (* (* h0 h0) h0) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (* h0 (- h0 h1))) (cbrt (* h0 (- h0 h1)))) (cbrt (* h0 (- h0 h1))) (* (* (* h0 (- h0 h1)) (* h0 (- h0 h1))) (* h0 (- h0 h1))) (sqrt (* h0 (- h0 h1))) (sqrt (* h0 (- h0 h1))) (* (sqrt h0) (sqrt (- h0 h1))) (* (sqrt h0) (sqrt (- h0 h1))) (* h0 h0) (* h0 (- h1)) (* h0 h0) (* h0 (- h1)) (* h0 h0) (* (- h1) h0) (* h0 h0) (* (- h1) h0) (* h0 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (* h0 (sqrt (- h0 h1))) (* h0 1) (* h0 (+ (sqrt h0) (sqrt h1))) (* h0 1) (* (cbrt h0) (- h0 h1)) (* (sqrt h0) (- h0 h1)) (* h0 (- h0 h1)) (* h0 (- (pow h0 3) (pow h1 3))) (* h0 (- (* h0 h0) (* h1 h1))) (- (* h2 (pow h0 2)) (* h2 (* h0 h1))) (- (* h2 (pow h0 2)) (* h2 (* h0 h1))) (- (* h2 (pow h0 2)) (* h2 (* h0 h1))) (- (pow h0 2) (* h0 h1)) (- (pow h0 2) (* h0 h1)) (- (pow h0 2) (* h0 h1)) 0.177 * * [simplify]: iteration 0 : 190 enodes (cost 211 ) 0.182 * * [simplify]: iteration 1 : 920 enodes (cost 176 ) 0.207 * * [simplify]: iteration 2 : 5002 enodes (cost 176 ) 0.208 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (log (* (* x (- x y)) 2.0)) (log (* (* x (- x y)) 2.0)) (log (* (* x (- x y)) 2.0)) (exp (* (* x (- x y)) 2.0)) (pow (* (* x (- x y)) 2.0) 3) (pow (* (* x (- x y)) 2.0) 3) (* (cbrt (* (* x (- x y)) 2.0)) (cbrt (* (* x (- x y)) 2.0))) (cbrt (* (* x (- x y)) 2.0)) (pow (* (* x (- x y)) 2.0) 3) (sqrt (* (* x (- x y)) 2.0)) (sqrt (* (* x (- x y)) 2.0)) (* (* x (- x y)) (* (cbrt 2.0) (cbrt 2.0))) (* (* x (- x y)) (sqrt 2.0)) (* x (- x y)) (* (- x y) 2.0) (* (* x (- (pow x 3) (pow y 3))) 2.0) (* (* x (- (* x x) (* y y))) 2.0) (* x (- x y)) (log (* x (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (pow (* x (- x y)) 3) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (pow (* x (- x y)) 3) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt (- x y)) (pow x 1/2)) (* (sqrt (- x y)) (pow x 1/2)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) x (* x (+ (sqrt x) (sqrt y))) x (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.208 * * * [progress]: adding candidates to table 0.273 * * [progress]: iteration 2 / 4 0.273 * * * [progress]: picking best candidate 0.276 * * * * [pick]: Picked # 0.276 * * * [progress]: localizing error 0.280 * * * [progress]: generating rewritten candidates 0.280 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.315 * * * [progress]: generating series expansions 0.315 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.315 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.315 * [taylor]: Taking taylor expansion of 2.0 in y 0.315 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of (- x y) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.315 * [taylor]: Taking taylor expansion of 2.0 in x 0.315 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (- x y) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.315 * [taylor]: Taking taylor expansion of 2.0 in x 0.315 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (- x y) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.317 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.317 * [taylor]: Taking taylor expansion of 2.0 in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of 2.0 in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.326 * [taylor]: Taking taylor expansion of 2.0 in y 0.326 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.326 * [taylor]: Taking taylor expansion of 2.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.327 * [taylor]: Taking taylor expansion of 2.0 in x 0.327 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of 2.0 in y 0.329 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.330 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.330 * [taylor]: Taking taylor expansion of 2.0 in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.341 * [taylor]: Taking taylor expansion of -2.0 in y 0.341 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.342 * [taylor]: Taking taylor expansion of -2.0 in x 0.342 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.343 * [taylor]: Taking taylor expansion of -2.0 in x 0.343 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 2.0 in y 0.346 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.346 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.346 * [taylor]: Taking taylor expansion of 2.0 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.360 * * * [progress]: simplifying candidates 0.361 * [simplify]: Simplifying using # : (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (+ (log x) (+ (log (- x y)) (log 2.0))) (+ (log x) (log (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (exp (* x (* (- x y) 2.0))) (* (* (* x x) x) (* (* (* (- x y) (- x y)) (- x y)) (* (* 2.0 2.0) 2.0))) (* (* (* x x) x) (* (* (* (- x y) 2.0) (* (- x y) 2.0)) (* (- x y) 2.0))) (* (cbrt (* x (* (- x y) 2.0))) (cbrt (* x (* (- x y) 2.0)))) (cbrt (* x (* (- x y) 2.0))) (* (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (* x (- x y)) (* (cbrt x) (* (- x y) 2.0)) (* (sqrt x) (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.361 * [simplify]: Sending expressions to egg_math: (* h0 (* (- h0 h1) h2)) (* h0 (* (- h0 h1) h2)) (+ (log h0) (+ (log (- h0 h1)) (log h2))) (+ (log h0) (log (* (- h0 h1) h2))) (log (* h0 (* (- h0 h1) h2))) (exp (* h0 (* (- h0 h1) h2))) (* (* (* h0 h0) h0) (* (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* h2 h2) h2))) (* (* (* h0 h0) h0) (* (* (* (- h0 h1) h2) (* (- h0 h1) h2)) (* (- h0 h1) h2))) (* (cbrt (* h0 (* (- h0 h1) h2))) (cbrt (* h0 (* (- h0 h1) h2)))) (cbrt (* h0 (* (- h0 h1) h2))) (* (* (* h0 (* (- h0 h1) h2)) (* h0 (* (- h0 h1) h2))) (* h0 (* (- h0 h1) h2))) (sqrt (* h0 (* (- h0 h1) h2))) (sqrt (* h0 (* (- h0 h1) h2))) (* h0 (- h0 h1)) (* (cbrt h0) (* (- h0 h1) h2)) (* (sqrt h0) (* (- h0 h1) h2)) (* h0 (* (- h0 h1) h2)) (* h0 (* (- (pow h0 3) (pow h1 3)) h2)) (* h0 (* (- (* h0 h0) (* h1 h1)) h2)) (- (* h2 (pow h0 2)) (* h2 (* h0 h1))) (- (* h2 (pow h0 2)) (* h2 (* h0 h1))) (- (* h2 (pow h0 2)) (* h2 (* h0 h1))) 0.364 * * [simplify]: iteration 0 : 140 enodes (cost 109 ) 0.368 * * [simplify]: iteration 1 : 544 enodes (cost 87 ) 0.383 * * [simplify]: iteration 2 : 3040 enodes (cost 87 ) 0.442 * * [simplify]: iteration 3 : 5003 enodes (cost 87 ) 0.443 * [simplify]: Simplified to: (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (log (* x (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (exp (* x (* (- x y) 2.0))) (pow (* x (* (- x y) 2.0)) 3) (pow (* x (* (- x y) 2.0)) 3) (* (cbrt (* x (* (- x y) 2.0))) (cbrt (* x (* (- x y) 2.0)))) (cbrt (* x (* (- x y) 2.0))) (pow (* x (* (- x y) 2.0)) 3) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (* x (- x y)) (* (cbrt x) (* (- x y) 2.0)) (* (sqrt x) (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) 0.443 * * * [progress]: adding candidates to table 0.469 * * [progress]: iteration 3 / 4 0.469 * * * [progress]: picking best candidate 0.471 * * * * [pick]: Picked # 0.471 * * * [progress]: localizing error 0.477 * * * [progress]: generating rewritten candidates 0.477 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.515 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.633 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.656 * * * [progress]: generating series expansions 0.656 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.657 * [approximate]: Taking taylor expansion of (* x (* (sqrt 2.0) (- x y))) in (x y) around 0 0.657 * [taylor]: Taking taylor expansion of (* x (* (sqrt 2.0) (- x y))) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- x y)) in y 0.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.657 * [taylor]: Taking taylor expansion of 2.0 in y 0.658 * [taylor]: Taking taylor expansion of (- x y) in y 0.658 * [taylor]: Taking taylor expansion of x in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of (* x (* (sqrt 2.0) (- x y))) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- x y)) in x 0.658 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.658 * [taylor]: Taking taylor expansion of 2.0 in x 0.659 * [taylor]: Taking taylor expansion of (- x y) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of (* x (* (sqrt 2.0) (- x y))) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- x y)) in x 0.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.659 * [taylor]: Taking taylor expansion of 2.0 in x 0.659 * [taylor]: Taking taylor expansion of (- x y) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.662 * [taylor]: Taking taylor expansion of (- (* (sqrt 2.0) y)) in y 0.662 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 0.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.662 * [taylor]: Taking taylor expansion of 2.0 in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.666 * [taylor]: Taking taylor expansion of 2.0 in y 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.676 * [taylor]: Taking taylor expansion of 0 in y 0.677 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) x) in (x y) around 0 0.678 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) x) in y 0.678 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) in y 0.678 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.678 * [taylor]: Taking taylor expansion of 2.0 in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.680 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) x) in x 0.680 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) in x 0.680 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.680 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.680 * [taylor]: Taking taylor expansion of 2.0 in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) x) in x 0.682 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) in x 0.682 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.685 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.686 * [taylor]: Taking taylor expansion of 2.0 in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.688 * [taylor]: Taking taylor expansion of 2.0 in y 0.690 * [taylor]: Taking taylor expansion of (- (/ (sqrt 2.0) y)) in y 0.690 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) y) in y 0.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.690 * [taylor]: Taking taylor expansion of 2.0 in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.707 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [approximate]: Taking taylor expansion of (* -1 (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x)) in (x y) around 0 0.708 * [taylor]: Taking taylor expansion of (* -1 (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x)) in y 0.708 * [taylor]: Taking taylor expansion of -1 in y 0.708 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x) in y 0.708 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) in y 0.708 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.708 * [taylor]: Taking taylor expansion of 2.0 in y 0.709 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.710 * [taylor]: Taking taylor expansion of (* -1 (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x)) in x 0.710 * [taylor]: Taking taylor expansion of -1 in x 0.710 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x) in x 0.710 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) in x 0.710 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.710 * [taylor]: Taking taylor expansion of 2.0 in x 0.711 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (* -1 (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x)) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x) in x 0.713 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.713 * [taylor]: Taking taylor expansion of 2.0 in x 0.714 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.717 * [taylor]: Taking taylor expansion of 2.0 in y 0.720 * [taylor]: Taking taylor expansion of (- (/ (sqrt 2.0) y)) in y 0.720 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) y) in y 0.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.720 * [taylor]: Taking taylor expansion of 2.0 in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [taylor]: Taking taylor expansion of 0 in y 0.741 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.742 * [approximate]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) (- x y))) in (x y) around 0 0.742 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) (- x y))) in y 0.742 * [taylor]: Taking taylor expansion of x in y 0.742 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- x y)) in y 0.742 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.742 * [taylor]: Taking taylor expansion of 2.0 in y 0.743 * [taylor]: Taking taylor expansion of (- x y) in y 0.743 * [taylor]: Taking taylor expansion of x in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) (- x y))) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- x y)) in x 0.743 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.743 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.743 * [taylor]: Taking taylor expansion of 2.0 in x 0.744 * [taylor]: Taking taylor expansion of (- x y) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) (- x y))) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- x y)) in x 0.744 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.744 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.744 * [taylor]: Taking taylor expansion of 2.0 in x 0.744 * [taylor]: Taking taylor expansion of (- x y) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.746 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [taylor]: Taking taylor expansion of (- (* (pow (sqrt 2.0) 2) y)) in y 0.749 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 0.749 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.749 * [taylor]: Taking taylor expansion of 2.0 in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.755 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.755 * [taylor]: Taking taylor expansion of 2.0 in y 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.776 * [taylor]: Taking taylor expansion of 0 in y 0.778 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) x) in (x y) around 0 0.778 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) x) in y 0.778 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) in y 0.778 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.778 * [taylor]: Taking taylor expansion of x in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.778 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.778 * [taylor]: Taking taylor expansion of 2.0 in y 0.779 * [taylor]: Taking taylor expansion of x in y 0.782 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) x) in x 0.782 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) in x 0.782 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.782 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.782 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.782 * [taylor]: Taking taylor expansion of 2.0 in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) x) in x 0.786 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) in x 0.786 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.786 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.786 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.786 * [taylor]: Taking taylor expansion of 2.0 in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.790 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.790 * [taylor]: Taking taylor expansion of 2.0 in y 0.793 * [taylor]: Taking taylor expansion of (- (/ (pow (sqrt 2.0) 2) y)) in y 0.793 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) y) in y 0.793 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.793 * [taylor]: Taking taylor expansion of 2.0 in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [approximate]: Taking taylor expansion of (* -1 (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x)) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x)) in y 0.821 * [taylor]: Taking taylor expansion of -1 in y 0.821 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x) in y 0.821 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) in y 0.821 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.821 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.821 * [taylor]: Taking taylor expansion of 2.0 in y 0.822 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.822 * [taylor]: Taking taylor expansion of x in y 0.825 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x)) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.825 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x) in x 0.825 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) in x 0.825 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.825 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.825 * [taylor]: Taking taylor expansion of 2.0 in x 0.825 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x)) in x 0.829 * [taylor]: Taking taylor expansion of -1 in x 0.829 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x) in x 0.829 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) in x 0.829 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.829 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.829 * [taylor]: Taking taylor expansion of 2.0 in x 0.830 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.830 * [taylor]: Taking taylor expansion of y in x 0.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.835 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.835 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.835 * [taylor]: Taking taylor expansion of 2.0 in y 0.841 * [taylor]: Taking taylor expansion of (- (/ (pow (sqrt 2.0) 2) y)) in y 0.841 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) y) in y 0.841 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.841 * [taylor]: Taking taylor expansion of 2.0 in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.876 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.876 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.876 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of (- x y) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (- x y) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (- x y) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.878 * [taylor]: Taking taylor expansion of (- y) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.879 * [taylor]: Taking taylor expansion of 1 in y 0.880 * [taylor]: Taking taylor expansion of 0 in y 0.881 * [taylor]: Taking taylor expansion of 0 in y 0.882 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.882 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.882 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.882 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.882 * [taylor]: Taking taylor expansion of x in y 0.882 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of x in y 0.883 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.883 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.883 * [taylor]: Taking taylor expansion of y in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.883 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [taylor]: Taking taylor expansion of 1 in y 0.885 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.885 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of 0 in y 0.891 * [taylor]: Taking taylor expansion of 0 in y 0.894 * [taylor]: Taking taylor expansion of 0 in y 0.894 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.894 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.894 * [taylor]: Taking taylor expansion of -1 in y 0.894 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.894 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.895 * [taylor]: Taking taylor expansion of x in y 0.895 * [taylor]: Taking taylor expansion of x in y 0.895 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.895 * [taylor]: Taking taylor expansion of -1 in x 0.895 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.895 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.895 * [taylor]: Taking taylor expansion of y in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.896 * [taylor]: Taking taylor expansion of -1 in x 0.896 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.896 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.896 * [taylor]: Taking taylor expansion of y in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of 1 in y 0.898 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.901 * [taylor]: Taking taylor expansion of 0 in y 0.904 * [taylor]: Taking taylor expansion of 0 in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.908 * * * [progress]: simplifying candidates 0.909 * [simplify]: Simplifying using # : (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (+ (+ (log x) (log (- x y))) (log (sqrt 2.0))) (+ (log (* x (- x y))) (log (sqrt 2.0))) (log (* (* x (- x y)) (sqrt 2.0))) (exp (* (* x (- x y)) (sqrt 2.0))) (* (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (* (* x (- x y)) (sqrt 2.0))) (cbrt (* (* x (- x y)) (sqrt 2.0)))) (cbrt (* (* x (- x y)) (sqrt 2.0))) (* (* (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0))) (* (* x (- x y)) (sqrt 2.0))) (sqrt (* (* x (- x y)) (sqrt 2.0))) (sqrt (* (* x (- x y)) (sqrt 2.0))) (* (* x (- x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (* x (- x y)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (* x (- x y)) (sqrt (sqrt 2.0))) (* (* x (- x y)) (sqrt 1)) (* (* x (- x y)) (sqrt (sqrt 2.0))) (* (* x (- x y)) 1) (* (- x y) (sqrt 2.0)) (* (* x (- (pow x 3) (pow y 3))) (sqrt 2.0)) (* (* x (- (* x x) (* y y))) (sqrt 2.0)) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0)) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0)) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0)) (+ (+ (+ (log x) (log (- x y))) (log (sqrt 2.0))) (log (sqrt 2.0))) (+ (+ (log (* x (- x y))) (log (sqrt 2.0))) (log (sqrt 2.0))) (+ (log (* (* x (- x y)) (sqrt 2.0))) (log (sqrt 2.0))) (log (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (exp (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (* (* (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0))) (* (* x (- x y)) (sqrt 2.0))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (cbrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (* (* (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0)) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (sqrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (sqrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (* (* (* x (- x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 1)) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (* (* x (- x y)) (sqrt 2.0)) 1) (* (sqrt 2.0) (sqrt 2.0)) (* (* (* x (- (pow x 3) (pow y 3))) (sqrt 2.0)) (sqrt 2.0)) (* (* (* x (- (* x x) (* y y))) (sqrt 2.0)) (sqrt 2.0)) (* x (- x y)) (+ (log x) (log (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x x) (* x (- y)) (* x x) (* x (- y)) (* x x) (* (- y) x) (* x x) (* (- y) x) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) (* x 1) (* x (+ (sqrt x) (sqrt y))) (* x 1) (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (- (* (sqrt 2.0) (pow x 2)) (* (sqrt 2.0) (* y x))) (- (* (sqrt 2.0) (pow x 2)) (* (sqrt 2.0) (* y x))) (- (* (sqrt 2.0) (pow x 2)) (* (sqrt 2.0) (* y x))) (- (* (pow (sqrt 2.0) 2) (pow x 2)) (* (pow (sqrt 2.0) 2) (* y x))) (- (* (pow (sqrt 2.0) 2) (pow x 2)) (* (pow (sqrt 2.0) 2) (* y x))) (- (* (pow (sqrt 2.0) 2) (pow x 2)) (* (pow (sqrt 2.0) 2) (* y x))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.910 * [simplify]: Sending expressions to egg_math: (* (* h0 (- h0 h1)) (sqrt h2)) (* (* h0 (- h0 h1)) (sqrt h2)) (+ (+ (log h0) (log (- h0 h1))) (log (sqrt h2))) (+ (log (* h0 (- h0 h1))) (log (sqrt h2))) (log (* (* h0 (- h0 h1)) (sqrt h2))) (exp (* (* h0 (- h0 h1)) (sqrt h2))) (* (* (* (* h0 h0) h0) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (* (sqrt h2) (sqrt h2)) (sqrt h2))) (* (* (* (* h0 (- h0 h1)) (* h0 (- h0 h1))) (* h0 (- h0 h1))) (* (* (sqrt h2) (sqrt h2)) (sqrt h2))) (* (cbrt (* (* h0 (- h0 h1)) (sqrt h2))) (cbrt (* (* h0 (- h0 h1)) (sqrt h2)))) (cbrt (* (* h0 (- h0 h1)) (sqrt h2))) (* (* (* (* h0 (- h0 h1)) (sqrt h2)) (* (* h0 (- h0 h1)) (sqrt h2))) (* (* h0 (- h0 h1)) (sqrt h2))) (sqrt (* (* h0 (- h0 h1)) (sqrt h2))) (sqrt (* (* h0 (- h0 h1)) (sqrt h2))) (* (* h0 (- h0 h1)) (* (cbrt (sqrt h2)) (cbrt (sqrt h2)))) (* (* h0 (- h0 h1)) (sqrt (* (cbrt h2) (cbrt h2)))) (* (* h0 (- h0 h1)) (sqrt (sqrt h2))) (* (* h0 (- h0 h1)) (sqrt 1)) (* (* h0 (- h0 h1)) (sqrt (sqrt h2))) (* (* h0 (- h0 h1)) 1) (* (- h0 h1) (sqrt h2)) (* (* h0 (- (pow h0 3) (pow h1 3))) (sqrt h2)) (* (* h0 (- (* h0 h0) (* h1 h1))) (sqrt h2)) (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2)) (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2)) (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2)) (+ (+ (+ (log h0) (log (- h0 h1))) (log (sqrt h2))) (log (sqrt h2))) (+ (+ (log (* h0 (- h0 h1))) (log (sqrt h2))) (log (sqrt h2))) (+ (log (* (* h0 (- h0 h1)) (sqrt h2))) (log (sqrt h2))) (log (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2))) (exp (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2))) (* (* (* (* (* h0 h0) h0) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (* (sqrt h2) (sqrt h2)) (sqrt h2))) (* (* (sqrt h2) (sqrt h2)) (sqrt h2))) (* (* (* (* (* h0 (- h0 h1)) (* h0 (- h0 h1))) (* h0 (- h0 h1))) (* (* (sqrt h2) (sqrt h2)) (sqrt h2))) (* (* (sqrt h2) (sqrt h2)) (sqrt h2))) (* (* (* (* (* h0 (- h0 h1)) (sqrt h2)) (* (* h0 (- h0 h1)) (sqrt h2))) (* (* h0 (- h0 h1)) (sqrt h2))) (* (* (sqrt h2) (sqrt h2)) (sqrt h2))) (* (cbrt (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2))) (cbrt (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2)))) (cbrt (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2))) (* (* (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2)) (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2))) (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2))) (sqrt (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2))) (sqrt (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt h2))) (* (* (* h0 (- h0 h1)) (sqrt h2)) (* (cbrt (sqrt h2)) (cbrt (sqrt h2)))) (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt (* (cbrt h2) (cbrt h2)))) (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt (sqrt h2))) (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt 1)) (* (* (* h0 (- h0 h1)) (sqrt h2)) (sqrt (sqrt h2))) (* (* (* h0 (- h0 h1)) (sqrt h2)) 1) (* (sqrt h2) (sqrt h2)) (* (* (* h0 (- (pow h0 3) (pow h1 3))) (sqrt h2)) (sqrt h2)) (* (* (* h0 (- (* h0 h0) (* h1 h1))) (sqrt h2)) (sqrt h2)) (* h0 (- h0 h1)) (+ (log h0) (log (- h0 h1))) (log (* h0 (- h0 h1))) (exp (* h0 (- h0 h1))) (* (* (* h0 h0) h0) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (* h0 (- h0 h1))) (cbrt (* h0 (- h0 h1)))) (cbrt (* h0 (- h0 h1))) (* (* (* h0 (- h0 h1)) (* h0 (- h0 h1))) (* h0 (- h0 h1))) (sqrt (* h0 (- h0 h1))) (sqrt (* h0 (- h0 h1))) (* (sqrt h0) (sqrt (- h0 h1))) (* (sqrt h0) (sqrt (- h0 h1))) (* h0 h0) (* h0 (- h1)) (* h0 h0) (* h0 (- h1)) (* h0 h0) (* (- h1) h0) (* h0 h0) (* (- h1) h0) (* h0 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (* h0 (sqrt (- h0 h1))) (* h0 1) (* h0 (+ (sqrt h0) (sqrt h1))) (* h0 1) (* (cbrt h0) (- h0 h1)) (* (sqrt h0) (- h0 h1)) (* h0 (- h0 h1)) (* h0 (- (pow h0 3) (pow h1 3))) (* h0 (- (* h0 h0) (* h1 h1))) (- (* (sqrt h2) (pow h0 2)) (* (sqrt h2) (* h1 h0))) (- (* (sqrt h2) (pow h0 2)) (* (sqrt h2) (* h1 h0))) (- (* (sqrt h2) (pow h0 2)) (* (sqrt h2) (* h1 h0))) (- (* (pow (sqrt h2) 2) (pow h0 2)) (* (pow (sqrt h2) 2) (* h1 h0))) (- (* (pow (sqrt h2) 2) (pow h0 2)) (* (pow (sqrt h2) 2) (* h1 h0))) (- (* (pow (sqrt h2) 2) (pow h0 2)) (* (pow (sqrt h2) 2) (* h1 h0))) (- (pow h0 2) (* h0 h1)) (- (pow h0 2) (* h0 h1)) (- (pow h0 2) (* h0 h1)) 0.915 * * [simplify]: iteration 0 : 291 enodes (cost 440 ) 0.923 * * [simplify]: iteration 1 : 1605 enodes (cost 358 ) 0.958 * * [simplify]: iteration 2 : 5002 enodes (cost 354 ) 0.960 * [simplify]: Simplified to: (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (log (* (* x (- x y)) (sqrt 2.0))) (log (* (* x (- x y)) (sqrt 2.0))) (log (* (* x (- x y)) (sqrt 2.0))) (exp (* (* x (- x y)) (sqrt 2.0))) (pow (* (* x (- x y)) (sqrt 2.0)) 3) (pow (* (* x (- x y)) (sqrt 2.0)) 3) (* (cbrt (* (* x (- x y)) (sqrt 2.0))) (cbrt (* (* x (- x y)) (sqrt 2.0)))) (cbrt (* (* x (- x y)) (sqrt 2.0))) (pow (* (* x (- x y)) (sqrt 2.0)) 3) (sqrt (* (* x (- x y)) (sqrt 2.0))) (sqrt (* (* x (- x y)) (sqrt 2.0))) (* (* x (- x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* x (* (- x y) (fabs (cbrt 2.0)))) (* (* x (- x y)) (sqrt (sqrt 2.0))) (* x (- x y)) (* (* x (- x y)) (sqrt (sqrt 2.0))) (* x (- x y)) (* (- x y) (sqrt 2.0)) (* (* x (- (pow x 3) (pow y 3))) (sqrt 2.0)) (* (* x (- (* x x) (* y y))) (sqrt 2.0)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (+ (log (* x (- x y))) (log 2.0)) (+ (log (* x (- x y))) (log 2.0)) (+ (log (* x (- x y))) (log 2.0)) (+ (log (* x (- x y))) (log 2.0)) (pow (exp (* x (- x y))) 2.0) (pow (* (* x (- x y)) 2.0) 3) (pow (* (* x (- x y)) 2.0) 3) (pow (* (* x (- x y)) 2.0) 3) (* (cbrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (cbrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (pow (* (* x (- x y)) 2.0) 3) (sqrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (sqrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (* (* (* x (- x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (* x (- x y)) (* (sqrt 2.0) (fabs (cbrt 2.0)))) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (* x (- x y)) (sqrt 2.0)) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (* x (- x y)) (sqrt 2.0)) 2.0 (* (* x (- (pow x 3) (pow y 3))) 2.0) (* (* x (- (* x x) (* y y))) 2.0) (* x (- x y)) (log (* x (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (pow (* x (- x y)) 3) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (pow (* x (- x y)) 3) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt (- x y)) (pow x 1/2)) (* (sqrt (- x y)) (pow x 1/2)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) x (* x (+ (sqrt x) (sqrt y))) x (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.961 * * * [progress]: adding candidates to table 1.081 * [progress]: [Phase 3 of 3] Extracting. 1.081 * * [regime]: Finding splitpoints for: (# #) 1.084 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.084 * * * * [regimes]: Trying to branch on y from (# #) 1.096 * * * * [regimes]: Trying to branch on x from (# #) 1.107 * * * [regime]: Found split indices: #