27.399 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.023 * [simplify]: Sending expressions to egg_math: (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2)) 0.026 * * [simplify]: iteration 0 : 18 enodes (cost 5 ) 0.028 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.032 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.033 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.034 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in (y x) around 0 0.046 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in x 0.046 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.046 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in x 0.046 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 0.046 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.046 * [taylor]: Taking taylor expansion of (* y 2.0) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 2.0 in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in y 0.046 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.046 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.046 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.046 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.047 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 2.0 in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of x 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 (fma y 2.0 x) x (pow y 2)) in y 0.047 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.047 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.047 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.047 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.047 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 2.0 in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.049 * [taylor]: Taking taylor expansion of 2.0 in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of 1 in x 0.052 * [approximate]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in (y x) around 0 0.052 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in x 0.052 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.052 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.052 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.052 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 2.0 in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 0.053 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.053 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in y 0.053 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.053 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.053 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of 2.0 in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 0.054 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.054 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in y 0.054 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.054 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.054 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 2.0 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.054 * [taylor]: Taking taylor expansion of x 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 0.055 * [taylor]: Taking taylor expansion of 1 in x 0.056 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of 2.0 in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.060 * [approximate]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in (y x) around 0 0.060 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in x 0.060 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.060 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 0.060 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.060 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 0.060 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.060 * [taylor]: Taking taylor expansion of -1 in x 0.060 * [taylor]: Taking taylor expansion of y 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 -1 in x 0.060 * [taylor]: Taking taylor expansion of 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 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.061 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.061 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.061 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.061 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.061 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 2.0 in y 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.062 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.062 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.062 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.062 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.062 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.062 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.062 * [taylor]: Taking taylor expansion of -1 in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 2.0 in y 0.063 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.063 * [taylor]: Taking taylor expansion of -1 in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.063 * [taylor]: Taking taylor expansion of -1 in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 1 in x 0.065 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of 2.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x 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 0.072 * * * [progress]: simplifying candidates 0.072 * [simplify]: Simplifying using # : (expm1 (fma (fma y 2.0 x) x (* y y))) (log1p (fma (fma y 2.0 x) x (* y y))) (* (fma y 2.0 x) x) (log (fma (fma y 2.0 x) x (* y y))) (exp (fma (fma y 2.0 x) x (* y y))) (* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y)))) (cbrt (fma (fma y 2.0 x) x (* y y))) (* (* (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y))) (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.072 * [simplify]: Sending expressions to egg_math: (expm1 (fma (fma h0 h1 h2) h2 (* h0 h0))) (log1p (fma (fma h0 h1 h2) h2 (* h0 h0))) (* (fma h0 h1 h2) h2) (log (fma (fma h0 h1 h2) h2 (* h0 h0))) (exp (fma (fma h0 h1 h2) h2 (* h0 h0))) (* (cbrt (fma (fma h0 h1 h2) h2 (* h0 h0))) (cbrt (fma (fma h0 h1 h2) h2 (* h0 h0)))) (cbrt (fma (fma h0 h1 h2) h2 (* h0 h0))) (* (* (fma (fma h0 h1 h2) h2 (* h0 h0)) (fma (fma h0 h1 h2) h2 (* h0 h0))) (fma (fma h0 h1 h2) h2 (* h0 h0))) (sqrt (fma (fma h0 h1 h2) h2 (* h0 h0))) (sqrt (fma (fma h0 h1 h2) h2 (* h0 h0))) (+ (pow h2 2) (+ (pow h0 2) (* h1 (* h2 h0)))) (+ (pow h2 2) (+ (pow h0 2) (* h1 (* h2 h0)))) (+ (pow h2 2) (+ (pow h0 2) (* h1 (* h2 h0)))) 0.075 * * [simplify]: iteration 0 : 42 enodes (cost 68 ) 0.077 * * [simplify]: iteration 1 : 104 enodes (cost 52 ) 0.080 * * [simplify]: iteration 2 : 467 enodes (cost 52 ) 0.090 * * [simplify]: iteration 3 : 2419 enodes (cost 52 ) 0.159 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.160 * [simplify]: Simplified to: (expm1 (fma (fma y 2.0 x) x (* y y))) (log1p (fma (fma y 2.0 x) x (* y y))) (* (fma y 2.0 x) x) (log (fma (fma y 2.0 x) x (* y y))) (exp (fma (fma y 2.0 x) x (* y y))) (* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y)))) (cbrt (fma (fma y 2.0 x) x (* y y))) (pow (fma (fma y 2.0 x) x (* y y)) 3) (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) 0.160 * * * [progress]: adding candidates to table 0.183 * * [progress]: iteration 2 / 4 0.183 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.192 * * * [progress]: generating rewritten candidates 0.192 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.201 * * * [progress]: generating series expansions 0.201 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.201 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.201 * [taylor]: Taking taylor expansion of 2.0 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 (+ (pow x 2) (* 2.0 (* x y))) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.201 * [taylor]: Taking taylor expansion of 2.0 in x 0.201 * [taylor]: Taking taylor expansion of (* x y) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.202 * [taylor]: Taking taylor expansion of 2.0 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 0 in y 0.203 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.203 * [taylor]: Taking taylor expansion of 2.0 in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of 1 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.210 * [taylor]: Taking taylor expansion of 2.0 in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.210 * [taylor]: Taking taylor expansion of (* x y) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.211 * [taylor]: Taking taylor expansion of 2.0 in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.211 * [taylor]: Taking taylor expansion of (* x y) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.212 * [taylor]: Taking taylor expansion of 2.0 in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.212 * [taylor]: Taking taylor expansion of (* x y) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.213 * [taylor]: Taking taylor expansion of 1 in y 0.213 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.213 * [taylor]: Taking taylor expansion of 2.0 in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.225 * [taylor]: Taking taylor expansion of 2.0 in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.225 * [taylor]: Taking taylor expansion of (* x y) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.226 * [taylor]: Taking taylor expansion of 2.0 in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.226 * [taylor]: Taking taylor expansion of (* x y) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.227 * [taylor]: Taking taylor expansion of 2.0 in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.227 * [taylor]: Taking taylor expansion of (* x y) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of 1 in y 0.228 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.228 * [taylor]: Taking taylor expansion of 2.0 in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.238 * * * [progress]: simplifying candidates 0.238 * [simplify]: Simplifying using # : (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.238 * [simplify]: Sending expressions to egg_math: (expm1 (+ (* h0 h0) (* (* h0 h1) h2))) (log1p (+ (* h0 h0) (* (* h0 h1) h2))) (* (exp (* h0 h0)) (exp (* (* h0 h1) h2))) (log (+ (* h0 h0) (* (* h0 h1) h2))) (exp (+ (* h0 h0) (* (* h0 h1) h2))) (* (cbrt (+ (* h0 h0) (* (* h0 h1) h2))) (cbrt (+ (* h0 h0) (* (* h0 h1) h2)))) (cbrt (+ (* h0 h0) (* (* h0 h1) h2))) (* (* (+ (* h0 h0) (* (* h0 h1) h2)) (+ (* h0 h0) (* (* h0 h1) h2))) (+ (* h0 h0) (* (* h0 h1) h2))) (sqrt (+ (* h0 h0) (* (* h0 h1) h2))) (sqrt (+ (* h0 h0) (* (* h0 h1) h2))) (+ (pow (* h0 h0) 3) (pow (* (* h0 h1) h2) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h0) (* (* h0 h1) h2)))) (- (* (* h0 h0) (* h0 h0)) (* (* (* h0 h1) h2) (* (* h0 h1) h2))) (- (* h0 h0) (* (* h0 h1) h2)) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) 0.242 * * [simplify]: iteration 0 : 114 enodes (cost 102 ) 0.246 * * [simplify]: iteration 1 : 608 enodes (cost 90 ) 0.260 * * [simplify]: iteration 2 : 3011 enodes (cost 77 ) 0.334 * * [simplify]: iteration 3 : 5001 enodes (cost 77 ) 0.335 * [simplify]: Simplified to: (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (pow (exp x) (fma y 2.0 x)) (+ (log x) (log (fma y 2.0 x))) (pow (exp x) (fma y 2.0 x)) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (pow (fma x x (* (* x 2.0) y)) 3) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (fma (pow x 3) (pow (* 2.0 y) 3) (pow x 6)) (fma x (* (* 2.0 y) (* x (- (* 2.0 y) x))) (pow x 4)) (* (* (* x (- x (* 2.0 y))) x) (fma y 2.0 x)) (* x (- x (* 2.0 y))) (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) 0.335 * * * [progress]: adding candidates to table 0.370 * [progress]: [Phase 3 of 3] Extracting. 0.370 * * [regime]: Finding splitpoints for: (# #) 0.371 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 0.371 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 0.381 * * * * [regimes]: Trying to branch on y from (# #) 0.392 * * * * [regimes]: Trying to branch on x from (# #) 0.404 * * * [regime]: Found split indices: #