4.907 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.029 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.031 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.032 * * [simplify]: iteration 2 : 73 enodes (cost 3 ) 0.034 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.036 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.038 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.040 * * [simplify]: iteration 6 : 131 enodes (cost 3 ) 0.041 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.065 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.081 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (- x y) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (- x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (- x y) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of (- y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.090 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of 1 in y 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.100 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.100 * [taylor]: Taking taylor expansion of -1 in y 0.100 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.101 * [taylor]: Taking taylor expansion of -1 in x 0.101 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.102 * [taylor]: Taking taylor expansion of -1 in x 0.102 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.102 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.117 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.117 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.117 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.117 * [taylor]: Taking taylor expansion of 2.0 in y 0.117 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [taylor]: Taking taylor expansion of (- x y) in y 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.117 * [taylor]: Taking taylor expansion of 2.0 in x 0.117 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (- x y) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.117 * [taylor]: Taking taylor expansion of 2.0 in x 0.117 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (- x y) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.119 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.119 * [taylor]: Taking taylor expansion of 2.0 in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of 2.0 in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.128 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.128 * [taylor]: Taking taylor expansion of 2.0 in y 0.128 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.129 * [taylor]: Taking taylor expansion of 2.0 in x 0.129 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.130 * [taylor]: Taking taylor expansion of 2.0 in x 0.130 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.130 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of 2.0 in y 0.136 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.136 * [taylor]: Taking taylor expansion of 2.0 in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.150 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.150 * [taylor]: Taking taylor expansion of -2.0 in y 0.150 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.150 * [taylor]: Taking taylor expansion of -2.0 in x 0.150 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.152 * [taylor]: Taking taylor expansion of -2.0 in x 0.152 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of 2.0 in y 0.154 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.155 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.155 * [taylor]: Taking taylor expansion of 2.0 in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * * * [progress]: simplifying candidates 0.168 * [simplify]: Simplifying using # : (expm1 (* x (- x y))) (log1p (* x (- x y))) (* 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 (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma (sqrt x) (sqrt x) (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma 1 x (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma 1 x (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x x) (* x (- y)) (* x x) (* x (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma (sqrt x) (sqrt x) (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma 1 x (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* 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))) (expm1 (* (* x (- x y)) 2.0)) (log1p (* (* x (- x y)) 2.0)) (* (* 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) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x 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))) 0.174 * * [simplify]: iteration 0 : 268 enodes (cost 469 ) 0.180 * * [simplify]: iteration 1 : 1243 enodes (cost 316 ) 0.208 * * [simplify]: iteration 2 : 5001 enodes (cost 310 ) 0.211 * [simplify]: Simplified to: (expm1 (* x (- x y))) (log1p (* x (- x y))) (* 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) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt x) 3)) (- y)) 1) x) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 y)) (* x (- x y)) (* x (fma (- y) 1 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))) (expm1 (* (* x (- x y)) 2.0)) (log1p (* (* x (- x y)) 2.0)) (* (* 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)) (* x (- x y)) (* x (- x y)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) 0.211 * * * [progress]: adding candidates to table 0.296 * * [progress]: iteration 2 / 4 0.296 * * * [progress]: picking best candidate 0.300 * * * * [pick]: Picked # 0.301 * * * [progress]: localizing error 0.305 * * * [progress]: generating rewritten candidates 0.305 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.319 * * * [progress]: generating series expansions 0.319 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.319 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.319 * [taylor]: Taking taylor expansion of 2.0 in y 0.319 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (- x y) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.319 * [taylor]: Taking taylor expansion of 2.0 in x 0.319 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (- x y) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.319 * [taylor]: Taking taylor expansion of 2.0 in x 0.319 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (- x y) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.321 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.321 * [taylor]: Taking taylor expansion of 2.0 in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 2.0 in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.331 * [taylor]: Taking taylor expansion of 2.0 in y 0.331 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.332 * [taylor]: Taking taylor expansion of 2.0 in x 0.332 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.333 * [taylor]: Taking taylor expansion of 2.0 in x 0.333 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 2.0 in y 0.336 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.336 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.336 * [taylor]: Taking taylor expansion of 2.0 in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.349 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.349 * [taylor]: Taking taylor expansion of -2.0 in y 0.349 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.350 * [taylor]: Taking taylor expansion of -2.0 in x 0.350 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.351 * [taylor]: Taking taylor expansion of -2.0 in x 0.351 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of 2.0 in y 0.354 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.354 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.354 * [taylor]: Taking taylor expansion of 2.0 in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.370 * * * [progress]: simplifying candidates 0.371 * [simplify]: Simplifying using # : (expm1 (* x (* (- x y) 2.0))) (log1p (* x (* (- x y) 2.0))) (* 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))) 0.374 * * [simplify]: iteration 0 : 144 enodes (cost 117 ) 0.378 * * [simplify]: iteration 1 : 558 enodes (cost 95 ) 0.393 * * [simplify]: iteration 2 : 3176 enodes (cost 95 ) 0.455 * * [simplify]: iteration 3 : 5002 enodes (cost 95 ) 0.456 * [simplify]: Simplified to: (expm1 (* x (* (- x y) 2.0))) (log1p (* x (* (- x y) 2.0))) (* 2.0 (* x (- x y))) (* 2.0 (* x (- x y))) (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)) (* 2.0 (* x (- x y))) (* x (* (- (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (* 2.0 (* x (- x y))) (* 2.0 (* x (- x y))) (* 2.0 (* x (- x y))) 0.456 * * * [progress]: adding candidates to table 0.495 * * [progress]: iteration 3 / 4 0.495 * * * [progress]: picking best candidate 0.500 * * * * [pick]: Picked # 0.500 * * * [progress]: localizing error 0.508 * * * [progress]: generating rewritten candidates 0.508 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.515 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.536 * * * [progress]: generating series expansions 0.536 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.536 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.536 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.536 * [taylor]: Taking taylor expansion of (* x y) in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (* x y) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (* x y) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [taylor]: Taking taylor expansion of (- y) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of 1 in y 0.541 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.544 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.544 * [taylor]: Taking taylor expansion of (* x y) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.545 * [taylor]: Taking taylor expansion of (* x y) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.546 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.546 * [taylor]: Taking taylor expansion of (* x y) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of 1 in y 0.548 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.557 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.558 * [taylor]: Taking taylor expansion of (* x y) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.559 * [taylor]: Taking taylor expansion of (* x y) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.559 * [taylor]: Taking taylor expansion of (* x y) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of 1 in y 0.561 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.570 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.570 * [approximate]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in (x y) around 0 0.570 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in y 0.570 * [taylor]: Taking taylor expansion of 2.0 in y 0.570 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (* x y) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.570 * [taylor]: Taking taylor expansion of 2.0 in x 0.570 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (* x y) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.570 * [taylor]: Taking taylor expansion of 2.0 in x 0.570 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* x y) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.572 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.572 * [taylor]: Taking taylor expansion of 2.0 in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of 2.0 in y 0.578 * [taylor]: Taking taylor expansion of 0 in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.585 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.585 * [taylor]: Taking taylor expansion of 2.0 in y 0.585 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.585 * [taylor]: Taking taylor expansion of (* x y) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.586 * [taylor]: Taking taylor expansion of 2.0 in x 0.586 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.586 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.586 * [taylor]: Taking taylor expansion of (* x y) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.587 * [taylor]: Taking taylor expansion of 2.0 in x 0.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.587 * [taylor]: Taking taylor expansion of (* x y) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.588 * [taylor]: Taking taylor expansion of 2.0 in y 0.589 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.589 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.589 * [taylor]: Taking taylor expansion of 2.0 in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.603 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.603 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.603 * [taylor]: Taking taylor expansion of 2.0 in y 0.603 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.603 * [taylor]: Taking taylor expansion of (* x y) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.603 * [taylor]: Taking taylor expansion of 2.0 in x 0.603 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.604 * [taylor]: Taking taylor expansion of (* x y) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of y in x 0.604 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.604 * [taylor]: Taking taylor expansion of 2.0 in x 0.604 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.604 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.605 * [taylor]: Taking taylor expansion of (* x y) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of y in x 0.606 * [taylor]: Taking taylor expansion of 2.0 in y 0.607 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.607 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.607 * [taylor]: Taking taylor expansion of 2.0 in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.620 * * * [progress]: simplifying candidates 0.621 * [simplify]: Simplifying using # : (expm1 (+ (pow x 2) (* x (- y)))) (log1p (+ (pow x 2) (* x (- y)))) (* (exp (pow x 2)) (exp (* x (- y)))) (log (+ (pow x 2) (* x (- y)))) (exp (+ (pow x 2) (* x (- y)))) (* (cbrt (+ (pow x 2) (* x (- y)))) (cbrt (+ (pow x 2) (* x (- y))))) (cbrt (+ (pow x 2) (* x (- y)))) (* (* (+ (pow x 2) (* x (- y))) (+ (pow x 2) (* x (- y)))) (+ (pow x 2) (* x (- y)))) (sqrt (+ (pow x 2) (* x (- y)))) (sqrt (+ (pow x 2) (* x (- y)))) (+ (pow (pow x 2) 3) (pow (* x (- y)) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* x (- y)) (* x (- y))) (* (pow x 2) (* x (- y))))) (- (* (pow x 2) (pow x 2)) (* (* x (- y)) (* x (- y)))) (- (pow x 2) (* x (- y))) (+ x (- y)) (expm1 (* (+ (pow x 2) (* x (- y))) 2.0)) (log1p (* (+ (pow x 2) (* x (- y))) 2.0)) (* (+ (pow x 2) (* x (- y))) 2.0) (+ (log (+ (pow x 2) (* x (- y)))) (log 2.0)) (log (* (+ (pow x 2) (* x (- y))) 2.0)) (exp (* (+ (pow x 2) (* x (- y))) 2.0)) (* (* (* (+ (pow x 2) (* x (- y))) (+ (pow x 2) (* x (- y)))) (+ (pow x 2) (* x (- y)))) (* (* 2.0 2.0) 2.0)) (* (cbrt (* (+ (pow x 2) (* x (- y))) 2.0)) (cbrt (* (+ (pow x 2) (* x (- y))) 2.0))) (cbrt (* (+ (pow x 2) (* x (- y))) 2.0)) (* (* (* (+ (pow x 2) (* x (- y))) 2.0) (* (+ (pow x 2) (* x (- y))) 2.0)) (* (+ (pow x 2) (* x (- y))) 2.0)) (sqrt (* (+ (pow x 2) (* x (- y))) 2.0)) (sqrt (* (+ (pow x 2) (* x (- y))) 2.0)) (* (sqrt (+ (pow x 2) (* x (- y)))) (sqrt 2.0)) (* (sqrt (+ (pow x 2) (* x (- y)))) (sqrt 2.0)) (* (+ (pow x 2) (* x (- y))) (* (cbrt 2.0) (cbrt 2.0))) (* (+ (pow x 2) (* x (- y))) (sqrt 2.0)) (* (+ (pow x 2) (* x (- y))) 1) (* (cbrt (+ (pow x 2) (* x (- y)))) 2.0) (* (sqrt (+ (pow x 2) (* x (- y)))) 2.0) (* (+ (pow x 2) (* x (- y))) 2.0) (* (+ x (- y)) 2.0) (* (+ (pow (pow x 2) 3) (pow (* x (- y)) 3)) 2.0) (* (- (* (pow x 2) (pow x 2)) (* (* x (- y)) (* x (- y)))) 2.0) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x 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))) 0.625 * * [simplify]: iteration 0 : 168 enodes (cost 276 ) 0.630 * * [simplify]: iteration 1 : 771 enodes (cost 220 ) 0.651 * * [simplify]: iteration 2 : 4864 enodes (cost 204 ) 0.761 * * [simplify]: iteration 3 : 5001 enodes (cost 204 ) 0.762 * [simplify]: Simplified to: (expm1 (+ (pow x 2) (* x (- y)))) (log1p (+ (pow x 2) (* x (- y)))) (pow (exp x) (- x y)) (log (- (pow x 2) (* x y))) (pow (exp x) (- x y)) (* (cbrt (+ (pow x 2) (* x (- y)))) (cbrt (+ (pow x 2) (* x (- y))))) (cbrt (+ (pow x 2) (* x (- y)))) (pow (* x (- x y)) 3) (sqrt (+ (pow x 2) (* x (- y)))) (sqrt (+ (pow x 2) (* x (- y)))) (- (pow x 6) (pow (* x y) 3)) (* (pow x 2) (+ (pow x 2) (fma y y (* x y)))) (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y)) (- x y) (expm1 (* (+ (pow x 2) (* x (- y))) 2.0)) (log1p (* (+ (pow x 2) (* x (- y))) 2.0)) (* 2.0 (* x (- x y))) (log (* 2.0 (* x (- x y)))) (log (* 2.0 (* x (- x y)))) (exp (* 2.0 (* x (- x y)))) (pow (* 2.0 (* x (- x y))) 3) (* (cbrt (* (+ (pow x 2) (* x (- y))) 2.0)) (cbrt (* (+ (pow x 2) (* x (- y))) 2.0))) (cbrt (* (+ (pow x 2) (* x (- y))) 2.0)) (pow (* 2.0 (* x (- x y))) 3) (sqrt (* (+ (pow x 2) (* x (- y))) 2.0)) (sqrt (* (+ (pow x 2) (* x (- y))) 2.0)) (* (sqrt (+ (pow x 2) (* x (- y)))) (sqrt 2.0)) (* (sqrt (+ (pow x 2) (* x (- y)))) (sqrt 2.0)) (* (* (* x (- x y)) (cbrt 2.0)) (cbrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (* x (- x y)) (* (cbrt (+ (pow x 2) (* x (- y)))) 2.0) (* (sqrt (+ (pow x 2) (* x (- y)))) 2.0) (* 2.0 (* x (- x y))) (* 2.0 (- x y)) (* (+ (pow (pow x 2) 3) (pow (* x (- y)) 3)) 2.0) (* (* 2.0 (pow x 2)) (- (pow x 2) (* y y))) (* x (- x y)) (* x (- x y)) (* x (- x y)) (* 2.0 (* x (- x y))) (* 2.0 (* x (- x y))) (* 2.0 (* x (- x y))) 0.762 * * * [progress]: adding candidates to table 0.870 * * [progress]: iteration 4 / 4 0.870 * * * [progress]: picking best candidate 0.873 * * * * [pick]: Picked # 0.873 * * * [progress]: localizing error 0.880 * * * [progress]: generating rewritten candidates 0.880 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.880 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.886 * * * [progress]: generating series expansions 0.886 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.886 * [approximate]: Taking taylor expansion of (fma x x (* -1 (* x y))) in (x y) around 0 0.886 * [taylor]: Taking taylor expansion of (fma x x (* -1 (* x y))) in y 0.886 * [taylor]: Rewrote expression to (+ (* x x) (* -1 (* x y))) 0.886 * [taylor]: Taking taylor expansion of (* x x) in y 0.886 * [taylor]: Taking taylor expansion of x in y 0.886 * [taylor]: Taking taylor expansion of x in y 0.886 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in y 0.886 * [taylor]: Taking taylor expansion of -1 in y 0.886 * [taylor]: Taking taylor expansion of (* x y) in y 0.886 * [taylor]: Taking taylor expansion of x in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of (fma x x (* -1 (* x y))) in x 0.886 * [taylor]: Rewrote expression to (+ (* x x) (* -1 (* x y))) 0.886 * [taylor]: Taking taylor expansion of (* x x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in x 0.886 * [taylor]: Taking taylor expansion of -1 in x 0.886 * [taylor]: Taking taylor expansion of (* x y) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of y in x 0.886 * [taylor]: Taking taylor expansion of (fma x x (* -1 (* x y))) in x 0.887 * [taylor]: Rewrote expression to (+ (* x x) (* -1 (* x y))) 0.887 * [taylor]: Taking taylor expansion of (* x x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in x 0.887 * [taylor]: Taking taylor expansion of -1 in x 0.887 * [taylor]: Taking taylor expansion of (* x y) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of 0 in y 0.889 * [taylor]: Taking taylor expansion of (- y) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of 1 in y 0.894 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [taylor]: Taking taylor expansion of 0 in y 0.897 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in (x y) around 0 0.897 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in y 0.897 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x y))) 0.897 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.897 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.898 * [taylor]: Taking taylor expansion of x in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.898 * [taylor]: Taking taylor expansion of x in y 0.898 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in y 0.898 * [taylor]: Taking taylor expansion of -1 in y 0.898 * [taylor]: Taking taylor expansion of (* x y) in y 0.898 * [taylor]: Taking taylor expansion of x in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in x 0.898 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x y))) 0.898 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.899 * [taylor]: Taking taylor expansion of -1 in x 0.899 * [taylor]: Taking taylor expansion of (* x y) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in x 0.900 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x y))) 0.900 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.900 * [taylor]: Taking taylor expansion of -1 in x 0.900 * [taylor]: Taking taylor expansion of (* x y) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of y in x 0.901 * [taylor]: Taking taylor expansion of 1 in y 0.902 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.913 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 (* x y))) in (x y) around 0 0.913 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 (* x y))) in y 0.913 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 (* x y))) 0.913 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.913 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.913 * [taylor]: Taking taylor expansion of -1 in y 0.913 * [taylor]: Taking taylor expansion of x in y 0.913 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.913 * [taylor]: Taking taylor expansion of -1 in y 0.913 * [taylor]: Taking taylor expansion of x in y 0.913 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in y 0.913 * [taylor]: Taking taylor expansion of -1 in y 0.913 * [taylor]: Taking taylor expansion of (* x y) in y 0.913 * [taylor]: Taking taylor expansion of x in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 (* x y))) in x 0.914 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 (* x y))) 0.914 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.914 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.914 * [taylor]: Taking taylor expansion of -1 in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.914 * [taylor]: Taking taylor expansion of -1 in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.915 * [taylor]: Taking taylor expansion of -1 in x 0.915 * [taylor]: Taking taylor expansion of (* x y) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of y in x 0.915 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 (* x y))) in x 0.915 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 (* x y))) 0.915 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.915 * [taylor]: Taking taylor expansion of -1 in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.915 * [taylor]: Taking taylor expansion of -1 in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.916 * [taylor]: Taking taylor expansion of -1 in x 0.916 * [taylor]: Taking taylor expansion of (* x y) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of 1 in y 0.918 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.928 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.928 * [approximate]: Taking taylor expansion of (* 2.0 (fma x x (* -1 (* x y)))) in (x y) around 0 0.928 * [taylor]: Taking taylor expansion of (* 2.0 (fma x x (* -1 (* x y)))) in y 0.928 * [taylor]: Taking taylor expansion of 2.0 in y 0.928 * [taylor]: Taking taylor expansion of (fma x x (* -1 (* x y))) in y 0.929 * [taylor]: Rewrote expression to (+ (* x x) (* -1 (* x y))) 0.929 * [taylor]: Taking taylor expansion of (* x x) in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in y 0.929 * [taylor]: Taking taylor expansion of -1 in y 0.929 * [taylor]: Taking taylor expansion of (* x y) in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (* 2.0 (fma x x (* -1 (* x y)))) in x 0.929 * [taylor]: Taking taylor expansion of 2.0 in x 0.929 * [taylor]: Taking taylor expansion of (fma x x (* -1 (* x y))) in x 0.929 * [taylor]: Rewrote expression to (+ (* x x) (* -1 (* x y))) 0.929 * [taylor]: Taking taylor expansion of (* x x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in x 0.929 * [taylor]: Taking taylor expansion of -1 in x 0.929 * [taylor]: Taking taylor expansion of (* x y) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of y in x 0.929 * [taylor]: Taking taylor expansion of (* 2.0 (fma x x (* -1 (* x y)))) in x 0.929 * [taylor]: Taking taylor expansion of 2.0 in x 0.929 * [taylor]: Taking taylor expansion of (fma x x (* -1 (* x y))) in x 0.929 * [taylor]: Rewrote expression to (+ (* x x) (* -1 (* x y))) 0.929 * [taylor]: Taking taylor expansion of (* x x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in x 0.929 * [taylor]: Taking taylor expansion of -1 in x 0.929 * [taylor]: Taking taylor expansion of (* x y) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of 0 in y 0.931 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.931 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.931 * [taylor]: Taking taylor expansion of 2.0 in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of 2.0 in y 0.939 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.944 * [approximate]: Taking taylor expansion of (* 2.0 (fma (/ 1 x) (/ 1 x) (/ -1 (* x y)))) in (x y) around 0 0.944 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ 1 x) (/ 1 x) (/ -1 (* x y)))) in y 0.944 * [taylor]: Taking taylor expansion of 2.0 in y 0.944 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in y 0.944 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x y))) 0.944 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.944 * [taylor]: Taking taylor expansion of x in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.944 * [taylor]: Taking taylor expansion of x in y 0.944 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in y 0.945 * [taylor]: Taking taylor expansion of -1 in y 0.945 * [taylor]: Taking taylor expansion of (* x y) in y 0.945 * [taylor]: Taking taylor expansion of x in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.945 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ 1 x) (/ 1 x) (/ -1 (* x y)))) in x 0.945 * [taylor]: Taking taylor expansion of 2.0 in x 0.945 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in x 0.945 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x y))) 0.945 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.946 * [taylor]: Taking taylor expansion of -1 in x 0.946 * [taylor]: Taking taylor expansion of (* x y) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ 1 x) (/ 1 x) (/ -1 (* x y)))) in x 0.946 * [taylor]: Taking taylor expansion of 2.0 in x 0.946 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ -1 (* x y))) in x 0.946 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ -1 (* x y))) 0.946 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.947 * [taylor]: Taking taylor expansion of -1 in x 0.947 * [taylor]: Taking taylor expansion of (* x y) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.948 * [taylor]: Taking taylor expansion of 2.0 in y 0.950 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.950 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.950 * [taylor]: Taking taylor expansion of 2.0 in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.964 * [taylor]: Taking taylor expansion of 0 in y 0.964 * [approximate]: Taking taylor expansion of (* 2.0 (fma (/ -1 x) (/ -1 x) (/ -1 (* x y)))) in (x y) around 0 0.964 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ -1 x) (/ -1 x) (/ -1 (* x y)))) in y 0.965 * [taylor]: Taking taylor expansion of 2.0 in y 0.965 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 (* x y))) in y 0.965 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 (* x y))) 0.965 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.965 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.965 * [taylor]: Taking taylor expansion of -1 in y 0.965 * [taylor]: Taking taylor expansion of x in y 0.965 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.965 * [taylor]: Taking taylor expansion of -1 in y 0.965 * [taylor]: Taking taylor expansion of x in y 0.965 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in y 0.965 * [taylor]: Taking taylor expansion of -1 in y 0.965 * [taylor]: Taking taylor expansion of (* x y) in y 0.965 * [taylor]: Taking taylor expansion of x in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ -1 x) (/ -1 x) (/ -1 (* x y)))) in x 0.965 * [taylor]: Taking taylor expansion of 2.0 in x 0.965 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 (* x y))) in x 0.965 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 (* x y))) 0.965 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.965 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.965 * [taylor]: Taking taylor expansion of -1 in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.966 * [taylor]: Taking taylor expansion of -1 in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.966 * [taylor]: Taking taylor expansion of -1 in x 0.966 * [taylor]: Taking taylor expansion of (* x y) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of (* 2.0 (fma (/ -1 x) (/ -1 x) (/ -1 (* x y)))) in x 0.967 * [taylor]: Taking taylor expansion of 2.0 in x 0.967 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 (* x y))) in x 0.967 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 (* x y))) 0.967 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.967 * [taylor]: Taking taylor expansion of -1 in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.967 * [taylor]: Taking taylor expansion of -1 in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.967 * [taylor]: Taking taylor expansion of -1 in x 0.967 * [taylor]: Taking taylor expansion of (* x y) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.969 * [taylor]: Taking taylor expansion of 2.0 in y 0.970 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.970 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.970 * [taylor]: Taking taylor expansion of 2.0 in y 0.970 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.970 * [taylor]: Taking taylor expansion of y in y 0.977 * [taylor]: Taking taylor expansion of 0 in y 0.981 * [taylor]: Taking taylor expansion of 0 in y 0.986 * [taylor]: Taking taylor expansion of 0 in y 0.987 * * * [progress]: simplifying candidates 0.987 * [simplify]: Simplifying using # : (expm1 (fma x x (* x (- y)))) (log1p (fma x x (* x (- y)))) (* x x) (log (fma x x (* x (- y)))) (exp (fma x x (* x (- y)))) (* (cbrt (fma x x (* x (- y)))) (cbrt (fma x x (* x (- y))))) (cbrt (fma x x (* x (- y)))) (* (* (fma x x (* x (- y))) (fma x x (* x (- y)))) (fma x x (* x (- y)))) (sqrt (fma x x (* x (- y)))) (sqrt (fma x x (* x (- y)))) (expm1 (* (fma x x (* x (- y))) 2.0)) (log1p (* (fma x x (* x (- y))) 2.0)) (* (fma x x (* x (- y))) 2.0) (+ (log (fma x x (* x (- y)))) (log 2.0)) (log (* (fma x x (* x (- y))) 2.0)) (exp (* (fma x x (* x (- y))) 2.0)) (* (* (* (fma x x (* x (- y))) (fma x x (* x (- y)))) (fma x x (* x (- y)))) (* (* 2.0 2.0) 2.0)) (* (cbrt (* (fma x x (* x (- y))) 2.0)) (cbrt (* (fma x x (* x (- y))) 2.0))) (cbrt (* (fma x x (* x (- y))) 2.0)) (* (* (* (fma x x (* x (- y))) 2.0) (* (fma x x (* x (- y))) 2.0)) (* (fma x x (* x (- y))) 2.0)) (sqrt (* (fma x x (* x (- y))) 2.0)) (sqrt (* (fma x x (* x (- y))) 2.0)) (* (sqrt (fma x x (* x (- y)))) (sqrt 2.0)) (* (sqrt (fma x x (* x (- y)))) (sqrt 2.0)) (* (fma x x (* x (- y))) (* (cbrt 2.0) (cbrt 2.0))) (* (fma x x (* x (- y))) (sqrt 2.0)) (* (fma x x (* x (- y))) 1) (* (cbrt (fma x x (* x (- y)))) 2.0) (* (sqrt (fma x x (* x (- y)))) 2.0) (* (fma x x (* x (- y))) 2.0) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x 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))) 0.990 * * [simplify]: iteration 0 : 92 enodes (cost 194 ) 0.993 * * [simplify]: iteration 1 : 323 enodes (cost 164 ) 1.002 * * [simplify]: iteration 2 : 2397 enodes (cost 157 ) 1.051 * * [simplify]: iteration 3 : 5001 enodes (cost 153 ) 1.052 * [simplify]: Simplified to: (expm1 (fma x x (* x (- y)))) (log1p (fma x x (* x (- y)))) (pow x 2) (log (fma x x (* x (- y)))) (pow (exp x) (- x y)) (* (cbrt (fma x x (* x (- y)))) (cbrt (fma x x (* x (- y))))) (cbrt (fma x x (* x (- y)))) (pow (* x (- x y)) 3) (sqrt (fma x x (* x (- y)))) (sqrt (fma x x (* x (- y)))) (expm1 (* (fma x x (* x (- y))) 2.0)) (log1p (* (fma x x (* x (- y))) 2.0)) (* (* 2.0 x) (- x y)) (log (* (fma x x (* x (- y))) 2.0)) (log (* (fma x x (* x (- y))) 2.0)) (pow (exp 2.0) (* x (- x y))) (pow (* (* 2.0 x) (- x y)) 3) (* (cbrt (* (fma x x (* x (- y))) 2.0)) (cbrt (* (fma x x (* x (- y))) 2.0))) (cbrt (* (fma x x (* x (- y))) 2.0)) (pow (* (* 2.0 x) (- x y)) 3) (sqrt (* (fma x x (* x (- y))) 2.0)) (sqrt (* (fma x x (* x (- y))) 2.0)) (* (sqrt (fma x x (* x (- y)))) (sqrt 2.0)) (* (sqrt (fma x x (* x (- y)))) (sqrt 2.0)) (* (cbrt 2.0) (* (cbrt 2.0) (* x (- x y)))) (* (sqrt 2.0) (* x (- x y))) (* x (- x y)) (* (cbrt (fma x x (* x (- y)))) 2.0) (* (sqrt (fma x x (* x (- y)))) 2.0) (* (* 2.0 x) (- x y)) (* x (- x y)) (* x (- x y)) (* x (- x y)) (* (* 2.0 x) (- x y)) (* (* 2.0 x) (- x y)) (* (* 2.0 x) (- x y)) 1.052 * * * [progress]: adding candidates to table 1.119 * [progress]: [Phase 3 of 3] Extracting. 1.119 * * [regime]: Finding splitpoints for: (# #) 1.119 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.119 * * * * [regimes]: Trying to branch on y from (# #) 1.132 * * * * [regimes]: Trying to branch on x from (# #) 1.142 * * * [regime]: Found split indices: #