8.158 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying: (exp (* (* x y) y)) 0.016 * [simplify]: Sending expressions to egg_math: (exp (* (* h0 h1) h1)) 0.018 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 22 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 40 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 83 enodes (cost 3 ) 0.024 * * [simplify]: iteration 4 : 201 enodes (cost 3 ) 0.028 * * [simplify]: iteration 5 : 572 enodes (cost 3 ) 0.041 * * [simplify]: iteration 6 : 3029 enodes (cost 3 ) 0.086 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.086 * * [progress]: iteration 1 / 4 0.086 * * * [progress]: picking best candidate 0.088 * * * * [pick]: Picked # 0.088 * * * [progress]: localizing error 0.092 * * * [progress]: generating rewritten candidates 0.092 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.111 * * * [progress]: generating series expansions 0.111 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.111 * [backup-simplify]: Simplify (* (* x y) y) into (* x (pow y 2)) 0.111 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [backup-simplify]: Simplify x into x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.112 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.113 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 0.116 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ 1 (* x (pow y 2))) 0.116 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.116 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.116 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [backup-simplify]: Simplify x into x 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (* x 1) into x 0.116 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.116 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.116 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.116 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.117 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.117 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.117 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.117 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.117 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 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 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 0.128 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ -1 (* x (pow y 2))) 0.128 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.128 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.128 * [taylor]: Taking taylor expansion of -1 in y 0.128 * [backup-simplify]: Simplify -1 into -1 0.128 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [backup-simplify]: Simplify x into x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (* x 1) into x 0.129 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.129 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [backup-simplify]: Simplify -1 into -1 0.129 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.129 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.129 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.129 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.129 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.129 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [backup-simplify]: Simplify -1 into -1 0.130 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [backup-simplify]: Simplify y into y 0.130 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.130 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 0.130 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.130 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 0.130 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 0.130 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of -1 in y 0.130 * [backup-simplify]: Simplify -1 into -1 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ -1 1) into -1 0.131 * [backup-simplify]: Simplify -1 into -1 0.131 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.137 * [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 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 0.141 * [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 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 0.141 * * * [progress]: simplifying candidates 0.142 * [simplify]: Simplifying: (* (* x y) y) (* (* x y) y) (+ (+ (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) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 0.142 * [simplify]: Sending expressions to egg_math: (* (* h0 h1) h1) (* (* h0 h1) h1) (+ (+ (log h0) (log h1)) (log h1)) (+ (log (* h0 h1)) (log h1)) (log (* (* h0 h1) h1)) (exp (* (* h0 h1) h1)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h1 h1) h1)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h1 h1) h1)) (* (cbrt (* (* h0 h1) h1)) (cbrt (* (* h0 h1) h1))) (cbrt (* (* h0 h1) h1)) (* (* (* (* h0 h1) h1) (* (* h0 h1) h1)) (* (* h0 h1) h1)) (sqrt (* (* h0 h1) h1)) (sqrt (* (* h0 h1) h1)) (* (* h0 h1) (* (cbrt h1) (cbrt h1))) (* (* h0 h1) (sqrt h1)) (* (* h0 h1) 1) (* h1 h1) (* h0 (pow h1 2)) (* h0 (pow h1 2)) (* h0 (pow h1 2)) 0.145 * * [simplify]: iteration 0 : 95 enodes (cost 72 ) 0.148 * * [simplify]: iteration 1 : 466 enodes (cost 57 ) 0.159 * * [simplify]: iteration 2 : 2085 enodes (cost 57 ) 0.198 * * [simplify]: iteration 3 : 5001 enodes (cost 56 ) 0.199 * * * [progress]: adding candidates to table 0.226 * [progress]: [Phase 3 of 3] Extracting. 0.227 * [simplify]: Simplifying: (exp (* (* x y) y)) 0.227 * [simplify]: Sending expressions to egg_math: (exp (* (* h0 h1) h1)) 0.227 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.228 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.692 * [regime-testing]: End program error score: 0.007965307980097749