10.913 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.021 * [simplify]: Sending expressions to egg_math: (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))) 0.024 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.025 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.027 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.029 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.033 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.038 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.048 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.082 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.083 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.083 * * [progress]: iteration 1 / 4 0.083 * * * [progress]: picking best candidate 0.085 * * * * [pick]: Picked # 0.085 * * * [progress]: localizing error 0.097 * * * [progress]: generating rewritten candidates 0.097 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.126 * * * [progress]: generating series expansions 0.126 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.126 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.126 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.126 * [taylor]: Taking taylor expansion of (+ x y) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (- x y) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.127 * [taylor]: Taking taylor expansion of (+ x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (- x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.128 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.128 * [taylor]: Taking taylor expansion of (+ x y) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (- x y) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of -1 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of 2 in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.137 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.137 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.140 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.142 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of 1 in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.150 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.150 * [taylor]: Taking taylor expansion of 2 in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.158 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.158 * [taylor]: Taking taylor expansion of -1 in y 0.158 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.158 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 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 0.159 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.159 * [taylor]: Taking taylor expansion of x in y 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.161 * [taylor]: Taking taylor expansion of -1 in x 0.161 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.161 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.163 * [taylor]: Taking taylor expansion of -1 in x 0.163 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.163 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.177 * [taylor]: Taking taylor expansion of 2 in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * * * [progress]: simplifying candidates 0.185 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) -1 1 1 0.186 * [simplify]: Sending expressions to egg_math: (- (+ (log (- h0 h1)) (log (+ h0 h1))) (log (+ (* h0 h0) (* h1 h1)))) (- (log (* (- h0 h1) (+ h0 h1))) (log (+ (* h0 h0) (* h1 h1)))) (log (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (exp (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (/ (* (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))) (/ (* (* (* (- h0 h1) (+ h0 h1)) (* (- h0 h1) (+ h0 h1))) (* (- h0 h1) (+ h0 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1)))) (* (cbrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (cbrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))))) (cbrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (* (* (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1))) (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (sqrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (sqrt (/ (* (- h0 h1) (+ h0 h1)) (+ (* h0 h0) (* h1 h1)))) (- (* (- h0 h1) (+ h0 h1))) (- (+ (* h0 h0) (* h1 h1))) (/ (- h0 h1) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (/ (+ h0 h1) (cbrt (+ (* h0 h0) (* h1 h1)))) (/ (- h0 h1) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (+ h0 h1) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (- h0 h1) 1) (/ (+ h0 h1) (+ (* h0 h0) (* h1 h1))) (/ 1 (+ (* h0 h0) (* h1 h1))) (/ (+ (* h0 h0) (* h1 h1)) (* (- h0 h1) (+ h0 h1))) (/ (* (- h0 h1) (+ h0 h1)) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (/ (* (- h0 h1) (+ h0 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (* (- h0 h1) (+ h0 h1)) 1) (/ (+ (* h0 h0) (* h1 h1)) (+ h0 h1)) (/ (* (- h0 h1) (+ h0 h1)) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (/ (* (- h0 h1) (+ h0 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (* (+ (* h0 h0) (* h1 h1)) (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (+ (* h0 h0) (* h1 h1)) (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (- h0 h1))) (* (+ (* h0 h0) (* h1 h1)) (* (+ h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (* (+ (* h0 h0) (* h1 h1)) (* (+ h0 h1) (- h0 h1))) (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)) (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (+ (* h0 h0) (* h1 h1)) (+ h0 h1)) -1 1 1 0.190 * * [simplify]: iteration 0 : 270 enodes (cost 311 ) 0.195 * * [simplify]: iteration 1 : 1434 enodes (cost 265 ) 0.220 * * [simplify]: iteration 2 : 5001 enodes (cost 261 ) 0.222 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (- y x) (+ x y)) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (* (/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1))) (- x y)) (* (* (+ (* y (- y x)) (* x x)) (+ (* y (+ y x)) (* x x))) (+ (* x x) (* y y))) (* (* (- x y) (+ (* y (+ y x)) (* x x))) (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (* x x)) (+ x y)) (+ (* x x) (* y y))) (- (/ (pow x 4) 1) (/ (pow y 4) 1)) (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* y (+ y x)) (* x x)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) -1 1 1 0.222 * * * [progress]: adding candidates to table 0.294 * * [progress]: iteration 2 / 4 0.294 * * * [progress]: picking best candidate 0.296 * * * * [pick]: Picked # 0.296 * * * [progress]: localizing error 0.296 * * * [progress]: generating rewritten candidates 0.296 * * * [progress]: generating series expansions 0.296 * * * [progress]: simplifying candidates 0.296 * [simplify]: Simplifying using # : 0.296 * [simplify]: Sending expressions to egg_math: 0.299 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.299 * [simplify]: Simplified to: 0.299 * * * [progress]: adding candidates to table 0.299 * * [progress]: iteration 3 / 4 0.299 * * * [progress]: picking best candidate 0.300 * * * * [pick]: Picked # 0.300 * * * [progress]: localizing error 0.300 * * * [progress]: generating rewritten candidates 0.300 * * * [progress]: generating series expansions 0.300 * * * [progress]: simplifying candidates 0.300 * [simplify]: Simplifying using # : 0.300 * [simplify]: Sending expressions to egg_math: 0.303 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.303 * [simplify]: Simplified to: 0.303 * * * [progress]: adding candidates to table 0.303 * [progress]: [Phase 3 of 3] Extracting. 0.303 * * [regime]: Finding splitpoints for: (# # #) 0.303 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 0.303 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # #) 0.326 * * * * [regimes]: Trying to branch on y from (# # #) 0.359 * * * * [regimes]: Trying to branch on x from (# # #) 0.375 * * * [regime]: Found split indices: #