35.476 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (+ (+ (* x 2.0) (* x x)) (* y y)) 0.026 * * [simplify]: iteration 0 : 16 enodes (cost 4 ) 0.028 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.029 * * [simplify]: iteration 2 : 41 enodes (cost 3 ) 0.030 * * [simplify]: iteration 3 : 41 enodes (cost 3 ) 0.031 * [simplify]: Simplified to: (fma x (+ 2.0 x) (* y y)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in y 0.042 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.042 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (+ x 2.0) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of 2.0 in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in x 0.042 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.042 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of 2.0 in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in x 0.042 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.042 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of 2.0 in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 2.0 in y 0.046 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in y 0.047 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.047 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of 2.0 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in x 0.047 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.047 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of 2.0 in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in x 0.048 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.048 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of 2.0 in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of 2.0 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in y 0.058 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.058 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in y 0.058 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.058 * [taylor]: Taking taylor expansion of -1 in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in y 0.058 * [taylor]: Taking taylor expansion of 2.0 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.059 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.059 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in x 0.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.059 * [taylor]: Taking taylor expansion of -1 in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of 2.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.060 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.060 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in x 0.060 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.060 * [taylor]: Taking taylor expansion of -1 in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of 2.0 in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.065 * [taylor]: Taking taylor expansion of 2.0 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.074 * * * [progress]: simplifying candidates 0.075 * [simplify]: Simplifying using # : (expm1 (fma x (+ 2.0 x) (* y y))) (log1p (fma x (+ 2.0 x) (* y y))) (* x (+ 2.0 x)) (log (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (* (cbrt (fma x (+ 2.0 x) (* y y))) (cbrt (fma x (+ 2.0 x) (* y y)))) (cbrt (fma x (+ 2.0 x) (* y y))) (* (* (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y))) (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.078 * * [simplify]: iteration 0 : 40 enodes (cost 62 ) 0.079 * * [simplify]: iteration 1 : 87 enodes (cost 52 ) 0.082 * * [simplify]: iteration 2 : 383 enodes (cost 52 ) 0.090 * * [simplify]: iteration 3 : 2092 enodes (cost 52 ) 0.144 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.144 * [simplify]: Simplified to: (expm1 (fma x (+ 2.0 x) (* y y))) (log1p (fma x (+ 2.0 x) (* y y))) (* x (+ 2.0 x)) (log (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (* (cbrt (fma x (+ 2.0 x) (* y y))) (cbrt (fma x (+ 2.0 x) (* y y)))) (cbrt (fma x (+ 2.0 x) (* y y))) (pow (fma x (+ 2.0 x) (* y y)) 3) (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (fma x x (fma 2.0 x (pow y 2))) (fma x x (fma 2.0 x (pow y 2))) (fma x x (fma 2.0 x (pow y 2))) 0.145 * * * [progress]: adding candidates to table 0.166 * * [progress]: iteration 2 / 4 0.167 * * * [progress]: picking best candidate 0.168 * * * * [pick]: Picked # 0.168 * * * [progress]: localizing error 0.175 * * * [progress]: generating rewritten candidates 0.175 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 0.176 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.177 * * * [progress]: generating series expansions 0.177 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 0.177 * [approximate]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in y 0.177 * [taylor]: Rewrote expression to (+ (* 2.0 x) (pow y 2)) 0.177 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.177 * [taylor]: Taking taylor expansion of 2.0 in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in x 0.177 * [taylor]: Rewrote expression to (+ (* 2.0 x) (pow y 2)) 0.177 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.177 * [taylor]: Taking taylor expansion of 2.0 in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in x 0.177 * [taylor]: Rewrote expression to (+ (* 2.0 x) (pow y 2)) 0.177 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.177 * [taylor]: Taking taylor expansion of 2.0 in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 2.0 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [approximate]: Taking taylor expansion of (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in (x y) around 0 0.184 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in y 0.184 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (pow (/ 1 y) 2)) 0.185 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.185 * [taylor]: Taking taylor expansion of 2.0 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 (pow (/ 1 y) 2) in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in x 0.185 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (pow (/ 1 y) 2)) 0.185 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of 2.0 in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in x 0.186 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (pow (/ 1 y) 2)) 0.186 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of 2.0 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 (pow (/ 1 y) 2) in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of 2.0 in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [approximate]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in y 0.199 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (pow (/ -1 y) 2)) 0.199 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.199 * [taylor]: Taking taylor expansion of 2.0 in y 0.199 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.199 * [taylor]: Taking taylor expansion of -1 in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in y 0.199 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.199 * [taylor]: Taking taylor expansion of -1 in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in x 0.199 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (pow (/ -1 y) 2)) 0.199 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.199 * [taylor]: Taking taylor expansion of 2.0 in x 0.199 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.199 * [taylor]: Taking taylor expansion of -1 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.200 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.200 * [taylor]: Taking taylor expansion of -1 in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in x 0.200 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (pow (/ -1 y) 2)) 0.200 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.200 * [taylor]: Taking taylor expansion of 2.0 in x 0.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.200 * [taylor]: Taking taylor expansion of -1 in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.200 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.200 * [taylor]: Taking taylor expansion of -1 in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.201 * [taylor]: Taking taylor expansion of 2.0 in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.218 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.218 * [approximate]: Taking taylor expansion of (fma x x (fma 2.0 x (pow y 2))) in (x y) around 0 0.218 * [taylor]: Taking taylor expansion of (fma x x (fma 2.0 x (pow y 2))) in y 0.218 * [taylor]: Rewrote expression to (+ (* x x) (fma 2.0 x (pow y 2))) 0.218 * [taylor]: Taking taylor expansion of (* x x) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in y 0.218 * [taylor]: Rewrote expression to (+ (* 2.0 x) (pow y 2)) 0.218 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.218 * [taylor]: Taking taylor expansion of 2.0 in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (fma x x (fma 2.0 x (pow y 2))) in x 0.218 * [taylor]: Rewrote expression to (+ (* x x) (fma 2.0 x (pow y 2))) 0.218 * [taylor]: Taking taylor expansion of (* x x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in x 0.218 * [taylor]: Rewrote expression to (+ (* 2.0 x) (pow y 2)) 0.218 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.218 * [taylor]: Taking taylor expansion of 2.0 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of (fma x x (fma 2.0 x (pow y 2))) in x 0.219 * [taylor]: Rewrote expression to (+ (* x x) (fma 2.0 x (pow y 2))) 0.219 * [taylor]: Taking taylor expansion of (* x x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in x 0.219 * [taylor]: Rewrote expression to (+ (* 2.0 x) (pow y 2)) 0.219 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.219 * [taylor]: Taking taylor expansion of 2.0 in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 2.0 in y 0.223 * [taylor]: Taking taylor expansion of 1 in y 0.224 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma 2.0 (/ 1 x) (pow (/ 1 y) 2))) in (x y) around 0 0.224 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma 2.0 (/ 1 x) (pow (/ 1 y) 2))) in y 0.224 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma 2.0 (/ 1 x) (pow (/ 1 y) 2))) 0.224 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in y 0.224 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (pow (/ 1 y) 2)) 0.224 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.224 * [taylor]: Taking taylor expansion of 2.0 in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma 2.0 (/ 1 x) (pow (/ 1 y) 2))) in x 0.225 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma 2.0 (/ 1 x) (pow (/ 1 y) 2))) 0.225 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in x 0.225 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (pow (/ 1 y) 2)) 0.225 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.225 * [taylor]: Taking taylor expansion of 2.0 in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma 2.0 (/ 1 x) (pow (/ 1 y) 2))) in x 0.226 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma 2.0 (/ 1 x) (pow (/ 1 y) 2))) 0.226 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in x 0.227 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (pow (/ 1 y) 2)) 0.227 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of 2.0 in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of 1 in y 0.229 * [taylor]: Taking taylor expansion of 2.0 in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma 2.0 (/ -1 x) (pow (/ -1 y) 2))) in (x y) around 0 0.237 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma 2.0 (/ -1 x) (pow (/ -1 y) 2))) in y 0.237 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma 2.0 (/ -1 x) (pow (/ -1 y) 2))) 0.237 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.237 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.237 * [taylor]: Taking taylor expansion of -1 in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.237 * [taylor]: Taking taylor expansion of -1 in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in y 0.237 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (pow (/ -1 y) 2)) 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.237 * [taylor]: Taking taylor expansion of 2.0 in y 0.237 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.237 * [taylor]: Taking taylor expansion of -1 in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in y 0.237 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.237 * [taylor]: Taking taylor expansion of -1 in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma 2.0 (/ -1 x) (pow (/ -1 y) 2))) in x 0.238 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma 2.0 (/ -1 x) (pow (/ -1 y) 2))) 0.238 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.238 * [taylor]: Taking taylor expansion of -1 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.238 * [taylor]: Taking taylor expansion of -1 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in x 0.239 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (pow (/ -1 y) 2)) 0.239 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.239 * [taylor]: Taking taylor expansion of 2.0 in x 0.239 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.239 * [taylor]: Taking taylor expansion of -1 in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.239 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.239 * [taylor]: Taking taylor expansion of -1 in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma 2.0 (/ -1 x) (pow (/ -1 y) 2))) in x 0.239 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma 2.0 (/ -1 x) (pow (/ -1 y) 2))) 0.239 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.239 * [taylor]: Taking taylor expansion of -1 in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.240 * [taylor]: Taking taylor expansion of -1 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in x 0.240 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (pow (/ -1 y) 2)) 0.240 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.240 * [taylor]: Taking taylor expansion of 2.0 in x 0.240 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.240 * [taylor]: Taking taylor expansion of -1 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.240 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.240 * [taylor]: Taking taylor expansion of -1 in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of 1 in y 0.243 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.243 * [taylor]: Taking taylor expansion of 2.0 in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.252 * * * [progress]: simplifying candidates 0.252 * [simplify]: Simplifying using # : (expm1 (fma 2.0 x (pow y 2))) (log1p (fma 2.0 x (pow y 2))) (* 2.0 x) (log (fma 2.0 x (pow y 2))) (exp (fma 2.0 x (pow y 2))) (* (cbrt (fma 2.0 x (pow y 2))) (cbrt (fma 2.0 x (pow y 2)))) (cbrt (fma 2.0 x (pow y 2))) (* (* (fma 2.0 x (pow y 2)) (fma 2.0 x (pow y 2))) (fma 2.0 x (pow y 2))) (sqrt (fma 2.0 x (pow y 2))) (sqrt (fma 2.0 x (pow y 2))) (expm1 (fma x x (fma 2.0 x (pow y 2)))) (log1p (fma x x (fma 2.0 x (pow y 2)))) (* x x) (log (fma x x (fma 2.0 x (pow y 2)))) (exp (fma x x (fma 2.0 x (pow y 2)))) (* (cbrt (fma x x (fma 2.0 x (pow y 2)))) (cbrt (fma x x (fma 2.0 x (pow y 2))))) (cbrt (fma x x (fma 2.0 x (pow y 2)))) (* (* (fma x x (fma 2.0 x (pow y 2))) (fma x x (fma 2.0 x (pow y 2)))) (fma x x (fma 2.0 x (pow y 2)))) (sqrt (fma x x (fma 2.0 x (pow y 2)))) (sqrt (fma x x (fma 2.0 x (pow y 2)))) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.255 * * [simplify]: iteration 0 : 44 enodes (cost 101 ) 0.257 * * [simplify]: iteration 1 : 138 enodes (cost 89 ) 0.261 * * [simplify]: iteration 2 : 633 enodes (cost 89 ) 0.274 * * [simplify]: iteration 3 : 3902 enodes (cost 89 ) 0.374 * * [simplify]: iteration 4 : 5001 enodes (cost 89 ) 0.375 * [simplify]: Simplified to: (expm1 (fma 2.0 x (pow y 2))) (log1p (fma 2.0 x (pow y 2))) (* 2.0 x) (log (fma 2.0 x (pow y 2))) (exp (fma 2.0 x (pow y 2))) (* (cbrt (fma 2.0 x (pow y 2))) (cbrt (fma 2.0 x (pow y 2)))) (cbrt (fma 2.0 x (pow y 2))) (pow (fma 2.0 x (pow y 2)) 3) (sqrt (fma 2.0 x (pow y 2))) (sqrt (fma 2.0 x (pow y 2))) (expm1 (fma x x (fma 2.0 x (pow y 2)))) (log1p (fma x x (fma 2.0 x (pow y 2)))) (pow x 2) (log (fma x x (fma 2.0 x (pow y 2)))) (exp (fma x x (fma 2.0 x (pow y 2)))) (* (cbrt (fma x x (fma 2.0 x (pow y 2)))) (cbrt (fma x x (fma 2.0 x (pow y 2))))) (cbrt (fma x x (fma 2.0 x (pow y 2)))) (pow (fma x x (fma 2.0 x (pow y 2))) 3) (sqrt (fma x x (fma 2.0 x (pow y 2)))) (sqrt (fma x x (fma 2.0 x (pow y 2)))) (fma 2.0 x (pow y 2)) (fma 2.0 x (pow y 2)) (fma 2.0 x (pow y 2)) (fma x x (fma 2.0 x (pow y 2))) (fma x x (fma 2.0 x (pow y 2))) (fma x x (fma 2.0 x (pow y 2))) 0.375 * * * [progress]: adding candidates to table 0.423 * [progress]: [Phase 3 of 3] Extracting. 0.425 * [simplify]: Simplifying using # : (fma x x (fma 2.0 x (pow y 2))) 0.426 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.426 * [simplify]: Simplified to: (fma x x (fma 2.0 x (pow y 2))) 1.185 * [regime-testing]: End program error score: 0.007000875109388674 1.212 * [regime-testing]: Target error score: 0.014001750218777347