14.940 * [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: (+ (+ (* x 2.0) (* x x)) (* y y)) 0.024 * [simplify]: Sending expressions to egg_math: (+ (+ (* h0 h1) (* h0 h0)) (* h2 h2)) 0.027 * * [simplify]: iteration 0 : 16 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.030 * * [simplify]: iteration 2 : 41 enodes (cost 3 ) 0.032 * * [simplify]: iteration 3 : 41 enodes (cost 3 ) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [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 * [backup-simplify]: Simplify (fma x (+ 2.0 x) (* y y)) into (fma x (+ x 2.0) (pow y 2)) 0.046 * [approximate]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in y 0.046 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.046 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [backup-simplify]: Simplify x into x 0.046 * [taylor]: Taking taylor expansion of (+ x 2.0) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [backup-simplify]: Simplify x into x 0.046 * [taylor]: Taking taylor expansion of 2.0 in y 0.046 * [backup-simplify]: Simplify 2.0 into 2.0 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in x 0.046 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.046 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of 2.0 in x 0.046 * [backup-simplify]: Simplify 2.0 into 2.0 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in x 0.047 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.047 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of 2.0 in x 0.047 * [backup-simplify]: Simplify 2.0 into 2.0 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.048 * [backup-simplify]: Simplify (* 0 2.0) into 0 0.048 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.048 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (+ 1 0) into 1 0.049 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 2.0)) into 2.0 0.049 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.049 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.049 * [taylor]: Taking taylor expansion of 2.0 in y 0.049 * [backup-simplify]: Simplify 2.0 into 2.0 0.049 * [backup-simplify]: Simplify 2.0 into 2.0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 2.0))) into 1 0.050 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.051 * [backup-simplify]: Simplify (+ 1 0) into 1 0.051 * [taylor]: Taking taylor expansion of 1 in y 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (* 1 1) into 1 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 1 (pow (* 1 x) 2)) (* 2.0 (* 1 x)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.051 * [backup-simplify]: Simplify (fma (/ 1 x) (+ 2.0 (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) 0.051 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in y 0.052 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.052 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [backup-simplify]: Simplify x into x 0.052 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [backup-simplify]: Simplify x into x 0.052 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.052 * [taylor]: Taking taylor expansion of 2.0 in y 0.052 * [backup-simplify]: Simplify 2.0 into 2.0 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in x 0.053 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.053 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of 2.0 in x 0.053 * [backup-simplify]: Simplify 2.0 into 2.0 0.053 * [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 * [backup-simplify]: Simplify y into y 0.053 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.053 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in x 0.053 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.054 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (/ 1 1) into 1 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (/ 1 1) into 1 0.054 * [taylor]: Taking taylor expansion of 2.0 in x 0.054 * [backup-simplify]: Simplify 2.0 into 2.0 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.054 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.055 * [backup-simplify]: Simplify (+ 1 0) into 1 0.055 * [backup-simplify]: Simplify (* 1 1) into 1 0.055 * [backup-simplify]: Simplify (+ 1 0) into 1 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1)) into 2.0 0.057 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.057 * [taylor]: Taking taylor expansion of 2.0 in y 0.057 * [backup-simplify]: Simplify 2.0 into 2.0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 2.0) (* 0 1))) into 0 0.059 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* 1 1) into 1 0.060 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 2.0 into 2.0 0.064 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.064 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (+ 2.0 (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) 0.064 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in y 0.064 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.064 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in y 0.064 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.064 * [taylor]: Taking taylor expansion of -1 in y 0.064 * [backup-simplify]: Simplify -1 into -1 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [backup-simplify]: Simplify x into x 0.064 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.064 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in y 0.064 * [taylor]: Taking taylor expansion of 2.0 in y 0.064 * [backup-simplify]: Simplify 2.0 into 2.0 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [backup-simplify]: Simplify x into x 0.064 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (* 1 1) into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.065 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.065 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in x 0.065 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [backup-simplify]: Simplify -1 into -1 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ -1 1) into -1 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 * [backup-simplify]: Simplify 2.0 into 2.0 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (/ 1 1) into 1 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.067 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.067 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.067 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in x 0.067 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.067 * [taylor]: Taking taylor expansion of -1 in x 0.067 * [backup-simplify]: Simplify -1 into -1 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (/ -1 1) into -1 0.067 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.067 * [taylor]: Taking taylor expansion of 2.0 in x 0.067 * [backup-simplify]: Simplify 2.0 into 2.0 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (/ 1 1) into 1 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [backup-simplify]: Simplify y into y 0.068 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.068 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.068 * [backup-simplify]: Simplify (- 1) into -1 0.068 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.069 * [backup-simplify]: Simplify (* -1 -1) into 1 0.069 * [backup-simplify]: Simplify (+ 1 0) into 1 0.069 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* -1 2.0) (* 0 -1)) into (- 2.0) 0.072 * [backup-simplify]: Simplify (+ (- 2.0) 0) into (- 2.0) 0.072 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.072 * [taylor]: Taking taylor expansion of 2.0 in y 0.072 * [backup-simplify]: Simplify 2.0 into 2.0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 2.0) (* 0 -1))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.079 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.079 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.079 * * * [progress]: simplifying candidates 0.079 * [simplify]: Simplifying: (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))) 0.080 * [simplify]: Sending expressions to egg_math: (expm1 (fma h0 (+ h1 h0) (* h2 h2))) (log1p (fma h0 (+ h1 h0) (* h2 h2))) (* h0 (+ h1 h0)) (log (fma h0 (+ h1 h0) (* h2 h2))) (exp (fma h0 (+ h1 h0) (* h2 h2))) (* (cbrt (fma h0 (+ h1 h0) (* h2 h2))) (cbrt (fma h0 (+ h1 h0) (* h2 h2)))) (cbrt (fma h0 (+ h1 h0) (* h2 h2))) (* (* (fma h0 (+ h1 h0) (* h2 h2)) (fma h0 (+ h1 h0) (* h2 h2))) (fma h0 (+ h1 h0) (* h2 h2))) (sqrt (fma h0 (+ h1 h0) (* h2 h2))) (sqrt (fma h0 (+ h1 h0) (* h2 h2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) (+ (pow h0 2) (+ (* h1 h0) (pow h2 2))) 0.082 * * [simplify]: iteration 0 : 40 enodes (cost 62 ) 0.085 * * [simplify]: iteration 1 : 87 enodes (cost 52 ) 0.087 * * [simplify]: iteration 2 : 383 enodes (cost 52 ) 0.096 * * [simplify]: iteration 3 : 2092 enodes (cost 52 ) 0.151 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.152 * * * [progress]: adding candidates to table 0.181 * * [progress]: iteration 2 / 4 0.181 * * * [progress]: picking best candidate 0.183 * * * * [pick]: Picked # 0.183 * * * [progress]: localizing error 0.189 * * * [progress]: generating rewritten candidates 0.189 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 0.190 * * * [progress]: generating series expansions 0.190 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 0.190 * [backup-simplify]: Simplify (fma 2.0 x (pow y 2)) into (fma 2.0 x (pow y 2)) 0.190 * [approximate]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in y 0.190 * [taylor]: Rewrote expression to (+ (* 2.0 x) (pow y 2)) 0.190 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.190 * [taylor]: Taking taylor expansion of 2.0 in y 0.190 * [backup-simplify]: Simplify 2.0 into 2.0 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [backup-simplify]: Simplify x into x 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in x 0.190 * [taylor]: Rewrote expression to (+ (* 2.0 x) (pow y 2)) 0.190 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.190 * [taylor]: Taking taylor expansion of 2.0 in x 0.190 * [backup-simplify]: Simplify 2.0 into 2.0 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [backup-simplify]: Simplify y into y 0.191 * [taylor]: Taking taylor expansion of (fma 2.0 x (pow y 2)) in x 0.191 * [taylor]: Rewrote expression to (+ (* 2.0 x) (pow y 2)) 0.191 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.191 * [taylor]: Taking taylor expansion of 2.0 in x 0.191 * [backup-simplify]: Simplify 2.0 into 2.0 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [backup-simplify]: Simplify y into y 0.191 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.191 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.191 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.192 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.193 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.193 * [taylor]: Taking taylor expansion of 2.0 in y 0.193 * [backup-simplify]: Simplify 2.0 into 2.0 0.193 * [backup-simplify]: Simplify 2.0 into 2.0 0.193 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.194 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.195 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.197 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 2.0 (* 1 x))) into (+ (* 2.0 x) (pow y 2)) 0.198 * [backup-simplify]: Simplify (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) into (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) 0.198 * [approximate]: Taking taylor expansion of (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (pow (/ 1 y) 2)) in y 0.198 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (pow (/ 1 y) 2)) 0.198 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.198 * [taylor]: Taking taylor expansion of 2.0 in y 0.198 * [backup-simplify]: Simplify 2.0 into 2.0 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [backup-simplify]: Simplify x into x 0.198 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.198 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 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 * [backup-simplify]: Simplify 2.0 into 2.0 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [backup-simplify]: Simplify y into y 0.199 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 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 * [backup-simplify]: Simplify 2.0 into 2.0 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 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 y in x 0.200 * [backup-simplify]: Simplify y into y 0.200 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.200 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.200 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.200 * [taylor]: Taking taylor expansion of 2.0 in y 0.200 * [backup-simplify]: Simplify 2.0 into 2.0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.202 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 0.202 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 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 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.204 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 2.0 into 2.0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.213 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 2.0 x) (pow y 2)) 0.214 * [backup-simplify]: Simplify (fma 2.0 (/ 1 (- x)) (pow (/ 1 (- y)) 2)) into (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) 0.214 * [approximate]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in y 0.214 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (pow (/ -1 y) 2)) 0.214 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.214 * [taylor]: Taking taylor expansion of 2.0 in y 0.214 * [backup-simplify]: Simplify 2.0 into 2.0 0.214 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.214 * [taylor]: Taking taylor expansion of -1 in y 0.214 * [backup-simplify]: Simplify -1 into -1 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [backup-simplify]: Simplify x into x 0.214 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.214 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in y 0.214 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.214 * [taylor]: Taking taylor expansion of -1 in y 0.214 * [backup-simplify]: Simplify -1 into -1 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ -1 1) into -1 0.214 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in x 0.214 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (pow (/ -1 y) 2)) 0.214 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.214 * [taylor]: Taking taylor expansion of 2.0 in x 0.214 * [backup-simplify]: Simplify 2.0 into 2.0 0.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.214 * [taylor]: Taking taylor expansion of -1 in x 0.214 * [backup-simplify]: Simplify -1 into -1 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ -1 1) into -1 0.215 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.215 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.215 * [taylor]: Taking taylor expansion of -1 in x 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.215 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (pow (/ -1 y) 2)) in x 0.215 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (pow (/ -1 y) 2)) 0.215 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.215 * [taylor]: Taking taylor expansion of 2.0 in x 0.215 * [backup-simplify]: Simplify 2.0 into 2.0 0.215 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.215 * [taylor]: Taking taylor expansion of -1 in x 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ -1 1) into -1 0.215 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.215 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.215 * [taylor]: Taking taylor expansion of -1 in x 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.216 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.216 * [backup-simplify]: Simplify (* 2.0 -1) into -2.0 0.216 * [backup-simplify]: Simplify (+ -2.0 0) into (- 2.0) 0.216 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.216 * [taylor]: Taking taylor expansion of 2.0 in y 0.216 * [backup-simplify]: Simplify 2.0 into 2.0 0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 -1)) into 0 0.217 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 0.217 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 -1))) into 0 0.219 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.221 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.222 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.222 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.225 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 0.229 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.229 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y)))))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 2.0 x) (pow y 2)) 0.230 * * * [progress]: simplifying candidates 0.230 * [simplify]: Simplifying: (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))) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) (+ (* 2.0 x) (pow y 2)) 0.231 * [simplify]: Sending expressions to egg_math: (expm1 (fma h0 h1 (pow h2 2))) (log1p (fma h0 h1 (pow h2 2))) (* h0 h1) (log (fma h0 h1 (pow h2 2))) (exp (fma h0 h1 (pow h2 2))) (* (cbrt (fma h0 h1 (pow h2 2))) (cbrt (fma h0 h1 (pow h2 2)))) (cbrt (fma h0 h1 (pow h2 2))) (* (* (fma h0 h1 (pow h2 2)) (fma h0 h1 (pow h2 2))) (fma h0 h1 (pow h2 2))) (sqrt (fma h0 h1 (pow h2 2))) (sqrt (fma h0 h1 (pow h2 2))) (+ (* h0 h1) (pow h2 2)) (+ (* h0 h1) (pow h2 2)) (+ (* h0 h1) (pow h2 2)) 0.233 * * [simplify]: iteration 0 : 24 enodes (cost 43 ) 0.234 * * [simplify]: iteration 1 : 62 enodes (cost 38 ) 0.236 * * [simplify]: iteration 2 : 198 enodes (cost 38 ) 0.240 * * [simplify]: iteration 3 : 690 enodes (cost 38 ) 0.262 * * [simplify]: iteration 4 : 4104 enodes (cost 38 ) 0.382 * * [simplify]: iteration 5 : 5001 enodes (cost 38 ) 0.383 * * * [progress]: adding candidates to table 0.412 * [progress]: [Phase 3 of 3] Extracting. 0.414 * [simplify]: Simplifying: (fma x x (fma 2.0 x (pow y 2))) 0.414 * [simplify]: Sending expressions to egg_math: (fma h0 h0 (fma h1 h0 (pow h2 2))) 0.415 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.415 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 1.230 * [regime-testing]: End program error score: 0.005125640705088136 1.247 * [regime-testing]: Target error score: 0.013876734591823979