29.545 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.016 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.017 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.019 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.020 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.022 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.022 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.039 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.040 * [taylor]: Taking taylor expansion of 0.5 in y 0.040 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.040 * [taylor]: Taking taylor expansion of (+ x y) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (* x y) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.041 * [taylor]: Taking taylor expansion of 0.5 in x 0.041 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.041 * [taylor]: Taking taylor expansion of (+ x y) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (* x y) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.041 * [taylor]: Taking taylor expansion of 0.5 in x 0.041 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.041 * [taylor]: Taking taylor expansion of (+ x y) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (* x y) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of 0.5 in y 0.044 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of 0.5 in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.060 * [taylor]: Taking taylor expansion of 0.5 in y 0.060 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (* y x) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.060 * [taylor]: Taking taylor expansion of 0.5 in x 0.061 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* y x) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.061 * [taylor]: Taking taylor expansion of 0.5 in x 0.061 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (* y x) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.065 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 0.5 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.084 * [taylor]: Taking taylor expansion of -0.5 in y 0.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of (* y x) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.085 * [taylor]: Taking taylor expansion of -0.5 in x 0.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* y x) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.085 * [taylor]: Taking taylor expansion of -0.5 in x 0.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* y x) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.087 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.087 * [taylor]: Taking taylor expansion of 0.5 in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.090 * [taylor]: Taking taylor expansion of 0.5 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * * * [progress]: simplifying candidates 0.106 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (- (log (+ x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (+ x y)) (+ (log (* x 2.0)) (log y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (* (* (/ (+ x y) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y))) (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (* x 2.0) y) (+ (* x x) (- (* y y) (* x y)))) (* (* (* x 2.0) y) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.110 * * [simplify]: iteration 0 : 225 enodes (cost 198 ) 0.115 * * [simplify]: iteration 1 : 956 enodes (cost 161 ) 0.136 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.138 * [simplify]: Simplified to: (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (fma y (- y x) (* x x)) x) (* 2.0 y)) (* (* (* x 2.0) y) (- x y)) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) 0.138 * * * [progress]: adding candidates to table 0.185 * * [progress]: iteration 2 / 4 0.185 * * * [progress]: picking best candidate 0.190 * * * * [pick]: Picked # 0.190 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.199 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.200 * * * [progress]: generating series expansions 0.200 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.200 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.200 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in x 0.200 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.201 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.201 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.201 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.201 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.202 * [taylor]: Taking taylor expansion of 0.5 in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of 0.5 in x 0.203 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of 0.5 in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of 0 in x 0.207 * [taylor]: Taking taylor expansion of 0 in x 0.210 * [taylor]: Taking taylor expansion of 0 in x 0.210 * [approximate]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in (y x) around 0 0.210 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in x 0.210 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.210 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.210 * [taylor]: Taking taylor expansion of 0.5 in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.210 * [taylor]: Taking taylor expansion of 0.5 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.210 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.210 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.210 * [taylor]: Taking taylor expansion of 0.5 in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.210 * [taylor]: Taking taylor expansion of 0.5 in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.211 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.211 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.211 * [taylor]: Taking taylor expansion of 0.5 in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.211 * [taylor]: Taking taylor expansion of 0.5 in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.211 * [taylor]: Taking taylor expansion of 0.5 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of 0.5 in x 0.215 * [taylor]: Taking taylor expansion of 0 in x 0.217 * [taylor]: Taking taylor expansion of 0 in x 0.217 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.217 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in x 0.218 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.218 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.218 * [taylor]: Taking taylor expansion of 0.5 in x 0.218 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.218 * [taylor]: Taking taylor expansion of -1 in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.218 * [taylor]: Taking taylor expansion of -0.5 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.218 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.218 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.218 * [taylor]: Taking taylor expansion of 0.5 in y 0.218 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.218 * [taylor]: Taking taylor expansion of -1 in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.218 * [taylor]: Taking taylor expansion of -0.5 in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.218 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.218 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.218 * [taylor]: Taking taylor expansion of 0.5 in y 0.218 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.218 * [taylor]: Taking taylor expansion of -1 in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.218 * [taylor]: Taking taylor expansion of -0.5 in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.219 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.219 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.219 * [taylor]: Taking taylor expansion of 0.5 in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.222 * [taylor]: Taking taylor expansion of 0.5 in x 0.225 * [taylor]: Taking taylor expansion of 0 in x 0.228 * [taylor]: Taking taylor expansion of 0 in x 0.229 * * * [progress]: simplifying candidates 0.229 * [simplify]: Simplifying using # : (expm1 (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (log1p (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* 0.5 (/ 1 y)) (log (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (exp (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* (* (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.232 * * [simplify]: iteration 0 : 30 enodes (cost 74 ) 0.234 * * [simplify]: iteration 1 : 86 enodes (cost 65 ) 0.237 * * [simplify]: iteration 2 : 435 enodes (cost 64 ) 0.247 * * [simplify]: iteration 3 : 1988 enodes (cost 59 ) 0.284 * * [simplify]: iteration 4 : 5001 enodes (cost 59 ) 0.285 * [simplify]: Simplified to: (expm1 (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (log1p (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (/ 0.5 y) (log (fma (/ 0.5 y) 1 (/ 0.5 x))) (exp (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (pow (fma (/ 0.5 y) 1 (/ 0.5 x)) 3) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma (/ 0.5 y) 1 (/ 0.5 x)) 0.285 * * * [progress]: adding candidates to table 0.308 * * [progress]: iteration 3 / 4 0.308 * * * [progress]: picking best candidate 0.311 * * * * [pick]: Picked # 0.311 * * * [progress]: localizing error 0.320 * * * [progress]: generating rewritten candidates 0.320 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.334 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.343 * * * [progress]: generating series expansions 0.343 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.343 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.343 * [taylor]: Taking taylor expansion of 0.5 in y 0.343 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.343 * [taylor]: Taking taylor expansion of (+ x y) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (* x y) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.344 * [taylor]: Taking taylor expansion of 0.5 in x 0.344 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.344 * [taylor]: Taking taylor expansion of (+ x y) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (* x y) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.344 * [taylor]: Taking taylor expansion of 0.5 in x 0.344 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.344 * [taylor]: Taking taylor expansion of (+ x y) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (* x y) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of 0.5 in y 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.346 * [taylor]: Taking taylor expansion of 0.5 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.355 * [taylor]: Taking taylor expansion of 0.5 in y 0.355 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.356 * [taylor]: Taking taylor expansion of 0.5 in x 0.356 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.356 * [taylor]: Taking taylor expansion of 0.5 in x 0.356 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.358 * [taylor]: Taking taylor expansion of 0.5 in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of 0.5 in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.373 * [taylor]: Taking taylor expansion of -0.5 in y 0.373 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.374 * [taylor]: Taking taylor expansion of -0.5 in x 0.374 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.374 * [taylor]: Taking taylor expansion of -0.5 in x 0.374 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.376 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.376 * [taylor]: Taking taylor expansion of 0.5 in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.379 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.393 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.393 * [approximate]: Taking taylor expansion of (/ (+ x y) y) in (x y) around 0 0.393 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.393 * [taylor]: Taking taylor expansion of (+ x y) in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.394 * [taylor]: Taking taylor expansion of (+ x y) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.394 * [taylor]: Taking taylor expansion of (+ x y) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of 1 in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of 1 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of 1 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.413 * * * [progress]: simplifying candidates 0.414 * [simplify]: Simplifying using # : (expm1 (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log1p (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (+ (- (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- (log (* x 2.0))) (log (/ (+ x y) y))) (+ (- 0 (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- 0 (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- 0 (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- 0 (log (* x 2.0))) (log (/ (+ x y) y))) (+ (- (log 1) (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- (log 1) (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- (log 1) (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- (log 1) (log (* x 2.0))) (log (/ (+ x y) y))) (+ (log (/ 1 (* x 2.0))) (- (log (+ x y)) (log y))) (+ (log (/ 1 (* x 2.0))) (log (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (exp (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y)))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* 1 (+ x y)) (* (* x 2.0) y) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y)))) (* (/ 1 (* x 2.0)) (sqrt (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) 1) (* (/ 1 (* x 2.0)) (+ x y)) (* (cbrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (sqrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (/ (cbrt 1) 2.0) (/ (+ x y) y)) (* (/ (sqrt 1) 2.0) (/ (+ x y) y)) (* (/ 1 2.0) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (+ x y)) (* 1 (/ (+ x y) y)) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (- (log (+ x y)) (log y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (+ x y)) (- y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 1 1) (/ (+ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 1 1) (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* y (+ (* x x) (- (* y y) (* x y)))) (* y (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.420 * * [simplify]: iteration 0 : 449 enodes (cost 599 ) 0.430 * * [simplify]: iteration 1 : 2372 enodes (cost 505 ) 0.464 * * [simplify]: iteration 2 : 5001 enodes (cost 503 ) 0.467 * [simplify]: Simplified to: (expm1 (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log1p (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (/ (/ (+ x y) y) (* x 2.0)) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (exp (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (* (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y)))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (+ x y) (* (* x 2.0) y) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (/ (/ (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) 2.0) x) (/ (/ (sqrt (/ (+ x y) y)) 2.0) x) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (* x 2.0)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (* x 2.0)) (/ (/ (/ (sqrt (+ x y)) (sqrt y)) 2.0) x) (/ (sqrt (+ x y)) (* x 2.0)) (/ (/ 1 (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ 1 (* x 2.0)) (/ (/ 1 (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ 1 (* x 2.0)) (/ 1 (* x 2.0)) (/ (+ x y) (* x 2.0)) (* (cbrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (sqrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) (* x 2.0)) (/ (/ (+ x y) y) (* x 2.0)) (/ (+ x y) (* x 2.0)) (/ (+ x y) y) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (log (/ (+ x y) y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (pow (/ (+ x y) y) 3) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (pow (/ (+ x y) y) 3) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (+ x y)) (- y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (sqrt y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* (fma x x (- (* y y) (* x y))) y) (* y (- x y)) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.468 * * * [progress]: adding candidates to table 0.580 * * [progress]: iteration 4 / 4 0.580 * * * [progress]: picking best candidate 0.581 * * * * [pick]: Picked # 0.581 * * * [progress]: localizing error 0.588 * * * [progress]: generating rewritten candidates 0.588 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.599 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.608 * * * [progress]: generating series expansions 0.608 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.608 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.608 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.608 * [taylor]: Taking taylor expansion of 0.5 in y 0.608 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.608 * [taylor]: Taking taylor expansion of (+ x y) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (* x y) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.609 * [taylor]: Taking taylor expansion of 0.5 in x 0.609 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.609 * [taylor]: Taking taylor expansion of (+ x y) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (* x y) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.609 * [taylor]: Taking taylor expansion of 0.5 in x 0.609 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.609 * [taylor]: Taking taylor expansion of (+ x y) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (* x y) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of 0.5 in y 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.611 * [taylor]: Taking taylor expansion of 0.5 in y 0.611 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.620 * [taylor]: Taking taylor expansion of 0.5 in y 0.620 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of (* y x) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.620 * [taylor]: Taking taylor expansion of 0.5 in x 0.620 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (* y x) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.621 * [taylor]: Taking taylor expansion of 0.5 in x 0.621 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (* y x) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.623 * [taylor]: Taking taylor expansion of 0.5 in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of 0.5 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.636 * [taylor]: Taking taylor expansion of 0 in y 0.636 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.636 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.636 * [taylor]: Taking taylor expansion of -0.5 in y 0.636 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (* y x) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.637 * [taylor]: Taking taylor expansion of -0.5 in x 0.637 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (* y x) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.637 * [taylor]: Taking taylor expansion of -0.5 in x 0.637 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (* y x) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.640 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.640 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.640 * [taylor]: Taking taylor expansion of 0.5 in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.642 * [taylor]: Taking taylor expansion of 0.5 in y 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.649 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.658 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.658 * [approximate]: Taking taylor expansion of (/ 0.5 (* x y)) in (x y) around 0 0.658 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in y 0.658 * [taylor]: Taking taylor expansion of 0.5 in y 0.658 * [taylor]: Taking taylor expansion of (* x y) in y 0.658 * [taylor]: Taking taylor expansion of x in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.659 * [taylor]: Taking taylor expansion of 0.5 in x 0.659 * [taylor]: Taking taylor expansion of (* x y) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of (/ 0.5 (* x y)) in x 0.659 * [taylor]: Taking taylor expansion of 0.5 in x 0.659 * [taylor]: Taking taylor expansion of (* x y) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.660 * [taylor]: Taking taylor expansion of 0.5 in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.662 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.664 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.664 * [taylor]: Taking taylor expansion of 0.5 in y 0.664 * [taylor]: Taking taylor expansion of (* x y) in y 0.664 * [taylor]: Taking taylor expansion of x in y 0.664 * [taylor]: Taking taylor expansion of y in y 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.664 * [taylor]: Taking taylor expansion of 0.5 in x 0.664 * [taylor]: Taking taylor expansion of (* x y) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.664 * [taylor]: Taking taylor expansion of 0.5 in x 0.664 * [taylor]: Taking taylor expansion of (* x y) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.665 * [taylor]: Taking taylor expansion of 0.5 in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.666 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.671 * [approximate]: Taking taylor expansion of (* 0.5 (* x y)) in (x y) around 0 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.671 * [taylor]: Taking taylor expansion of 0.5 in y 0.671 * [taylor]: Taking taylor expansion of (* x y) in y 0.671 * [taylor]: Taking taylor expansion of x in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.671 * [taylor]: Taking taylor expansion of 0.5 in x 0.672 * [taylor]: Taking taylor expansion of (* x y) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.672 * [taylor]: Taking taylor expansion of 0.5 in x 0.672 * [taylor]: Taking taylor expansion of (* x y) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of 0 in y 0.672 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.673 * [taylor]: Taking taylor expansion of 0.5 in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.676 * [taylor]: Taking taylor expansion of 0 in y 0.678 * [taylor]: Taking taylor expansion of 0 in y 0.679 * * * [progress]: simplifying candidates 0.680 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (/ 1 (* (* x 2.0) y)))) (log1p (* (+ x y) (/ 1 (* (* x 2.0) y)))) (* (+ x y) (/ 1 (* (* x 2.0) y))) (+ (log (+ x y)) (- (+ (+ (log x) (log 2.0)) (log y)))) (+ (log (+ x y)) (- (+ (log (* x 2.0)) (log y)))) (+ (log (+ x y)) (- (log (* (* x 2.0) y)))) (+ (log (+ x y)) (- 0 (+ (+ (log x) (log 2.0)) (log y)))) (+ (log (+ x y)) (- 0 (+ (log (* x 2.0)) (log y)))) (+ (log (+ x y)) (- 0 (log (* (* x 2.0) y)))) (+ (log (+ x y)) (- (log 1) (+ (+ (log x) (log 2.0)) (log y)))) (+ (log (+ x y)) (- (log 1) (+ (log (* x 2.0)) (log y)))) (+ (log (+ x y)) (- (log 1) (log (* (* x 2.0) y)))) (+ (log (+ x y)) (log (/ 1 (* (* x 2.0) y)))) (log (* (+ x y) (/ 1 (* (* x 2.0) y)))) (exp (* (+ x y) (/ 1 (* (* x 2.0) y)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (/ (* (* 1 1) 1) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (/ (* (* 1 1) 1) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (/ 1 (* (* x 2.0) y)) (/ 1 (* (* x 2.0) y))) (/ 1 (* (* x 2.0) y)))) (* (cbrt (* (+ x y) (/ 1 (* (* x 2.0) y)))) (cbrt (* (+ x y) (/ 1 (* (* x 2.0) y))))) (cbrt (* (+ x y) (/ 1 (* (* x 2.0) y)))) (* (* (* (+ x y) (/ 1 (* (* x 2.0) y))) (* (+ x y) (/ 1 (* (* x 2.0) y)))) (* (+ x y) (/ 1 (* (* x 2.0) y)))) (sqrt (* (+ x y) (/ 1 (* (* x 2.0) y)))) (sqrt (* (+ x y) (/ 1 (* (* x 2.0) y)))) (* (+ (pow x 3) (pow y 3)) 1) (* (+ (* x x) (- (* y y) (* x y))) (* (* x 2.0) y)) (* (- (* x x) (* y y)) 1) (* (- x y) (* (* x 2.0) y)) (* (sqrt (+ x y)) (sqrt (/ 1 (* (* x 2.0) y)))) (* (sqrt (+ x y)) (sqrt (/ 1 (* (* x 2.0) y)))) (* (+ x y) (* (cbrt (/ 1 (* (* x 2.0) y))) (cbrt (/ 1 (* (* x 2.0) y))))) (* (+ x y) (sqrt (/ 1 (* (* x 2.0) y)))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (* x 2.0))) (* (+ x y) (/ (sqrt 1) (* x 2.0))) (* (+ x y) (/ 1 (* x 2.0))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (/ 1 (* (* x 2.0) y))) (* (sqrt (+ x y)) (/ 1 (* (* x 2.0) y))) (* (+ x y) (/ 1 (* (* x 2.0) y))) (* (+ x y) (/ 1 (* (* x 2.0) y))) (* (+ x y) 1) (* (+ (pow x 3) (pow y 3)) (/ 1 (* (* x 2.0) y))) (* (- (* x x) (* y y)) (/ 1 (* (* x 2.0) y))) (expm1 (/ 1 (* (* x 2.0) y))) (log1p (/ 1 (* (* x 2.0) y))) (- 1) (- 1) (- 1) (- (+ (+ (log x) (log 2.0)) (log y))) (- (+ (log (* x 2.0)) (log y))) (- (log (* (* x 2.0) y))) (- 0 (+ (+ (log x) (log 2.0)) (log y))) (- 0 (+ (log (* x 2.0)) (log y))) (- 0 (log (* (* x 2.0) y))) (- (log 1) (+ (+ (log x) (log 2.0)) (log y))) (- (log 1) (+ (log (* x 2.0)) (log y))) (- (log 1) (log (* (* x 2.0) y))) (log (/ 1 (* (* x 2.0) y))) (exp (/ 1 (* (* x 2.0) y))) (/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* 1 1) 1) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* 1 1) 1) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ 1 (* (* x 2.0) y))) (cbrt (/ 1 (* (* x 2.0) y)))) (cbrt (/ 1 (* (* x 2.0) y))) (* (* (/ 1 (* (* x 2.0) y)) (/ 1 (* (* x 2.0) y))) (/ 1 (* (* x 2.0) y))) (sqrt (/ 1 (* (* x 2.0) y))) (sqrt (/ 1 (* (* x 2.0) y))) (- 1) (- (* (* x 2.0) y)) (/ (* (cbrt 1) (cbrt 1)) (* x 2.0)) (/ (cbrt 1) y) (/ (sqrt 1) (* x 2.0)) (/ (sqrt 1) y) (/ 1 (* x 2.0)) (/ 1 y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) 1) (/ 1 (* x 2.0)) (/ (* (* x 2.0) y) (cbrt 1)) (/ (* (* x 2.0) y) (sqrt 1)) (/ (* (* x 2.0) y) 1) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (/ 0.5 (* x y)) (/ 0.5 (* x y)) (/ 0.5 (* x y)) 0.685 * * [simplify]: iteration 0 : 365 enodes (cost 458 ) 0.692 * * [simplify]: iteration 1 : 1875 enodes (cost 379 ) 0.723 * * [simplify]: iteration 2 : 5001 enodes (cost 366 ) 0.726 * [simplify]: Simplified to: (expm1 (* (+ x y) (/ 1 (* (* x 2.0) y)))) (log1p (* (+ x y) (/ 1 (* (* x 2.0) y)))) (/ (+ x y) (* (* x 2.0) y)) (- (log (+ x y)) (log (* (* x 2.0) y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (exp (* (+ x y) (/ 1 (* (* x 2.0) y)))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (* (cbrt (* (+ x y) (/ 1 (* (* x 2.0) y)))) (cbrt (* (+ x y) (/ 1 (* (* x 2.0) y))))) (cbrt (* (+ x y) (/ 1 (* (* x 2.0) y)))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (sqrt (* (+ x y) (/ 1 (* (* x 2.0) y)))) (sqrt (* (+ x y) (/ 1 (* (* x 2.0) y)))) (+ (pow x 3) (pow y 3)) (* (* (fma y (- y x) (* x x)) x) (* 2.0 y)) (- (* x x) (* y y)) (* (- x y) (* (* x 2.0) y)) (* (sqrt (+ x y)) (sqrt (/ 1 (* (* x 2.0) y)))) (* (sqrt (+ x y)) (sqrt (/ 1 (* (* x 2.0) y)))) (* (+ x y) (* (cbrt (/ 1 (* (* x 2.0) y))) (cbrt (/ 1 (* (* x 2.0) y))))) (* (+ x y) (sqrt (/ 1 (* (* x 2.0) y)))) (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0)) (+ x y) (+ x y) (/ (cbrt (+ x y)) (* (* x 2.0) y)) (/ (sqrt (+ x y)) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y)) (+ x y) (/ (+ (pow x 3) (pow y 3)) (* (* x 2.0) y)) (/ (- (* x x) (* y y)) (* (* x 2.0) y)) (expm1 (/ 1 (* (* x 2.0) y))) (log1p (/ 1 (* (* x 2.0) y))) (- 1) (- 1) (- 1) (log (/ 1 (* (* x 2.0) y))) (log (/ 1 (* (* x 2.0) y))) (log (/ 1 (* (* x 2.0) y))) (log (/ 1 (* (* x 2.0) y))) (log (/ 1 (* (* x 2.0) y))) (log (/ 1 (* (* x 2.0) y))) (log (/ 1 (* (* x 2.0) y))) (log (/ 1 (* (* x 2.0) y))) (log (/ 1 (* (* x 2.0) y))) (log (/ 1 (* (* x 2.0) y))) (exp (/ 1 (* (* x 2.0) y))) (/ 1 (pow (* (* x 2.0) y) 3)) (/ 1 (pow (* (* x 2.0) y) 3)) (/ 1 (pow (* (* x 2.0) y) 3)) (* (cbrt (/ 1 (* (* x 2.0) y))) (cbrt (/ 1 (* (* x 2.0) y)))) (cbrt (/ 1 (* (* x 2.0) y))) (/ 1 (pow (* (* x 2.0) y) 3)) (sqrt (/ 1 (* (* x 2.0) y))) (sqrt (/ 1 (* (* x 2.0) y))) (- 1) (- (* (* x 2.0) y)) (/ 1 (* x 2.0)) (/ 1 y) (/ 1 (* x 2.0)) (/ 1 y) (/ 1 (* x 2.0)) (/ 1 y) (/ 1 (* (* x 2.0) y)) (* (* x 2.0) y) (/ 1 (* x 2.0)) (* (* x 2.0) y) (* (* x 2.0) y) (* (* x 2.0) y) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (/ 0.5 (* x y)) (/ 0.5 (* x y)) (/ 0.5 (* x y)) 0.726 * * * [progress]: adding candidates to table 0.803 * [progress]: [Phase 3 of 3] Extracting. 0.804 * * [regime]: Finding splitpoints for: (# # #) 0.804 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.804 * * * * [regimes]: Trying to branch on y from (# # #) 0.816 * * * * [regimes]: Trying to branch on x from (# # #) 0.831 * * * [regime]: Found split indices: #