16.645 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.020 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 73 enodes (cost 3 ) 0.025 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.027 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.032 * * [simplify]: iteration 6 : 131 enodes (cost 3 ) 0.032 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.045 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (* x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (* x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (- y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.053 * [taylor]: Taking taylor expansion of (* x y) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.055 * [taylor]: Taking taylor expansion of (* x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.056 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.066 * [taylor]: Taking taylor expansion of (* x y) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.067 * [taylor]: Taking taylor expansion of (* x y) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.068 * [taylor]: Taking taylor expansion of (* x y) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * * * [progress]: simplifying candidates 0.082 * [simplify]: Simplifying using # : (fma x x (- (* y x))) (fma (- y) x (* y x)) (expm1 (- (* x x) (* x y))) (log1p (- (* x x) (* x y))) (- (* x y)) (/ (exp (* x x)) (exp (* x y))) (log (- (* x x) (* x y))) (exp (- (* x x) (* x y))) (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y)))) (cbrt (- (* x x) (* x y))) (* (* (- (* x x) (* x y)) (- (* x x) (* x y))) (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (- (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))) (- (* x y)) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (+ (* x x) (* x y)) (- x y) (- (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.085 * * [simplify]: iteration 0 : 102 enodes (cost 91 ) 0.087 * * [simplify]: iteration 1 : 403 enodes (cost 79 ) 0.096 * * [simplify]: iteration 2 : 1596 enodes (cost 77 ) 0.129 * * [simplify]: iteration 3 : 5001 enodes (cost 74 ) 0.129 * [simplify]: Simplified to: (* x (- x y)) 0 (expm1 (- (* x x) (* x y))) (log1p (- (* x x) (* x y))) (- (* x y)) (pow (exp x) (- x y)) (log (- (* x x) (* x y))) (pow (exp x) (- x y)) (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y)))) (cbrt (- (* x x) (* x y))) (pow (* x (- x y)) 3) (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (- (pow (* x x) 3) (pow (* x y) 3)) (fma (* x (* x y)) (+ x y) (pow x 4)) (- (* x y)) (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y)) (- x y) (- (* x y)) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.129 * * * [progress]: adding candidates to table 0.164 * * [progress]: iteration 2 / 4 0.164 * * * [progress]: picking best candidate 0.166 * * * * [pick]: Picked # 0.166 * * * [progress]: localizing error 0.173 * * * [progress]: generating rewritten candidates 0.173 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.173 * * * [progress]: generating series expansions 0.173 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.174 * [approximate]: Taking taylor expansion of (fma x x (- (* x y))) in (x y) around 0 0.174 * [taylor]: Taking taylor expansion of (fma x x (- (* x y))) in y 0.174 * [taylor]: Rewrote expression to (+ (* x x) (- (* x y))) 0.174 * [taylor]: Taking taylor expansion of (* x x) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (- (* x y)) in y 0.174 * [taylor]: Taking taylor expansion of (* x y) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (fma x x (- (* x y))) in x 0.174 * [taylor]: Rewrote expression to (+ (* x x) (- (* x y))) 0.174 * [taylor]: Taking taylor expansion of (* x x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (- (* x y)) in x 0.174 * [taylor]: Taking taylor expansion of (* x y) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (fma x x (- (* x y))) in x 0.174 * [taylor]: Rewrote expression to (+ (* x x) (- (* x y))) 0.174 * [taylor]: Taking taylor expansion of (* x x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (- (* x y)) in x 0.174 * [taylor]: Taking taylor expansion of (* x y) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of (- y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y)))) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y)))) in y 0.185 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (* x y)))) 0.185 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.186 * [taylor]: Taking taylor expansion of (* x y) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y)))) in x 0.186 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (* x y)))) 0.186 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.187 * [taylor]: Taking taylor expansion of (* x y) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (* x y)))) in x 0.187 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (* x y)))) 0.187 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.188 * [taylor]: Taking taylor expansion of (* x y) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y)))) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y)))) in y 0.200 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (* x y)))) 0.201 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.201 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.201 * [taylor]: Taking taylor expansion of -1 in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.201 * [taylor]: Taking taylor expansion of -1 in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.201 * [taylor]: Taking taylor expansion of (* x y) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y)))) in x 0.201 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (* x y)))) 0.201 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.201 * [taylor]: Taking taylor expansion of -1 in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.202 * [taylor]: Taking taylor expansion of -1 in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.202 * [taylor]: Taking taylor expansion of (* x y) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of y in x 0.202 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (* x y)))) in x 0.202 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (* x y)))) 0.202 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.202 * [taylor]: Taking taylor expansion of -1 in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.203 * [taylor]: Taking taylor expansion of -1 in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.203 * [taylor]: Taking taylor expansion of (* x y) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of 1 in y 0.205 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.216 * * * [progress]: simplifying candidates 0.216 * [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)))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.219 * * [simplify]: iteration 0 : 29 enodes (cost 58 ) 0.220 * * [simplify]: iteration 1 : 69 enodes (cost 48 ) 0.223 * * [simplify]: iteration 2 : 299 enodes (cost 47 ) 0.229 * * [simplify]: iteration 3 : 1416 enodes (cost 46 ) 0.277 * * [simplify]: iteration 4 : 5002 enodes (cost 46 ) 0.278 * [simplify]: Simplified to: (expm1 (fma x x (- (* x y)))) (log1p (fma x x (- (* x y)))) (pow x 2) (log (fma x x (- (* x y)))) (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)))) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.278 * * * [progress]: adding candidates to table 0.307 * * [progress]: iteration 3 / 4 0.308 * * * [progress]: picking best candidate 0.309 * * * * [pick]: Picked # 0.309 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.328 * * * [progress]: generating series expansions 0.328 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.328 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of (- x y) in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (- x y) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (- x y) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of (- y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of 1 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.334 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.336 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 1 in y 0.338 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.347 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.347 * [taylor]: Taking taylor expansion of -1 in y 0.347 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.348 * [taylor]: Taking taylor expansion of -1 in x 0.348 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.349 * [taylor]: Taking taylor expansion of -1 in x 0.349 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1 in y 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.363 * * * [progress]: simplifying candidates 0.364 * [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))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.369 * * [simplify]: iteration 0 : 186 enodes (cost 350 ) 0.373 * * [simplify]: iteration 1 : 761 enodes (cost 220 ) 0.390 * * [simplify]: iteration 2 : 4223 enodes (cost 190 ) 0.478 * * [simplify]: iteration 3 : 5001 enodes (cost 190 ) 0.479 * [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))) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) x (* x (+ (sqrt x) (sqrt y))) x (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.480 * * * [progress]: adding candidates to table 0.530 * [progress]: [Phase 3 of 3] Extracting. 0.530 * * [regime]: Finding splitpoints for: (# #) 0.530 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.530 * * * * [regimes]: Trying to branch on y from (# #) 0.544 * * * * [regimes]: Trying to branch on x from (# #) 0.555 * * * [regime]: Found split indices: #