17.431 * [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 x) (* (* x 2.0) y)) (* y y)) 0.024 * [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 ) 0.031 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.033 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [backup-simplify]: Simplify (fma (fma y 2.0 x) x (* y y)) into (fma (fma y 2.0 x) x (pow y 2)) 0.044 * [approximate]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in (y x) around 0 0.044 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in x 0.044 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.044 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in x 0.044 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 0.044 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.044 * [taylor]: Taking taylor expansion of (* y 2.0) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [backup-simplify]: Simplify y into y 0.045 * [taylor]: Taking taylor expansion of 2.0 in x 0.045 * [backup-simplify]: Simplify 2.0 into 2.0 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [backup-simplify]: Simplify y into y 0.045 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in y 0.045 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.045 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.045 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.045 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.045 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of 2.0 in y 0.045 * [backup-simplify]: Simplify 2.0 into 2.0 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in y 0.045 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.045 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.045 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.045 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.045 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of 2.0 in y 0.045 * [backup-simplify]: Simplify 2.0 into 2.0 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (* 0 2.0) into 0 0.046 * [backup-simplify]: Simplify (+ 0 x) into x 0.046 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.046 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.046 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.047 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 2.0)) into 2.0 0.047 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.047 * [backup-simplify]: Simplify (+ (* x 0) (* 2.0 x)) into (* 2.0 x) 0.047 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.047 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 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 x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 2.0 0) (* 0 x))) into 0 0.049 * [backup-simplify]: Simplify (* 1 1) into 1 0.049 * [backup-simplify]: Simplify (+ 0 1) into 1 0.049 * [taylor]: Taking taylor expansion of 1 in x 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.050 * [backup-simplify]: Simplify 2.0 into 2.0 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.050 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.051 * [backup-simplify]: Simplify (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) 0.051 * [approximate]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in (y x) around 0 0.051 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in x 0.051 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.051 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.051 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.051 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [backup-simplify]: Simplify y into y 0.051 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.051 * [taylor]: Taking taylor expansion of 2.0 in x 0.051 * [backup-simplify]: Simplify 2.0 into 2.0 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [backup-simplify]: Simplify y into y 0.052 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.052 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.052 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 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 y 0.052 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.052 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.052 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) 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 * [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 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 0.053 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 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 * [backup-simplify]: Simplify 0 into 0 0.053 * [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 y 0.054 * [backup-simplify]: Simplify 2.0 into 2.0 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 0.054 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 0.054 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 0.054 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [backup-simplify]: Simplify (+ 0 1) into 1 0.055 * [taylor]: Taking taylor expansion of 1 in x 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (* 1 2.0) into 2.0 0.055 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.055 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.056 * [backup-simplify]: Simplify (+ (/ 2.0 x) 0) into (* 2.0 (/ 1 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 * [backup-simplify]: Simplify 2.0 into 2.0 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2.0)) into 0 0.057 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.058 * [backup-simplify]: Simplify (+ (* 2.0 0) (* (/ 1 x) (/ 1 x))) into (/ 1 (pow x 2)) 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 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 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.060 * [backup-simplify]: Simplify 2.0 into 2.0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.060 * [backup-simplify]: Simplify (fma (fma (/ 1 (- y)) 2.0 (/ 1 (- x))) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) 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 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.061 * [taylor]: Taking taylor expansion of 2.0 in x 0.061 * [backup-simplify]: Simplify 2.0 into 2.0 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (/ -1 1) into -1 0.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [backup-simplify]: Simplify -1 into -1 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (/ -1 1) into -1 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 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.062 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 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 * [backup-simplify]: Simplify -1 into -1 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (/ -1 1) into -1 0.062 * [taylor]: Taking taylor expansion of 2.0 in y 0.062 * [backup-simplify]: Simplify 2.0 into 2.0 0.062 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.062 * [taylor]: Taking taylor expansion of -1 in y 0.062 * [backup-simplify]: Simplify -1 into -1 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [backup-simplify]: Simplify x into x 0.062 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.062 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.062 * [taylor]: Taking taylor expansion of -1 in y 0.062 * [backup-simplify]: Simplify -1 into -1 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [backup-simplify]: Simplify x into x 0.062 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 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 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.063 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.063 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.063 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.063 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.063 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.063 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.063 * [taylor]: Taking taylor expansion of -1 in y 0.063 * [backup-simplify]: Simplify -1 into -1 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (/ -1 1) into -1 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 -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 (/ -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 (/ 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 0.064 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [backup-simplify]: Simplify (+ 0 1) into 1 0.065 * [taylor]: Taking taylor expansion of 1 in x 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (* -1 2.0) into -2.0 0.065 * [backup-simplify]: Simplify (+ -2.0 0) into (- 2.0) 0.065 * [backup-simplify]: Simplify (* (- 2.0) (/ -1 x)) into (/ 2.0 x) 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ (/ 2.0 x) 0) into (* 2.0 (/ 1 x)) 0.066 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of 2.0 in x 0.066 * [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 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 2.0)) into 0 0.068 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) 0.068 * [backup-simplify]: Simplify (+ (* (- 2.0) 0) (* (- (/ 1 x)) (/ -1 x))) into (/ 1 (pow x 2)) 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.070 * [backup-simplify]: Simplify 2.0 into 2.0 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.071 * * * [progress]: simplifying candidates 0.071 * [simplify]: Simplifying: (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)))) 0.071 * [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)))) 0.074 * * [simplify]: iteration 0 : 42 enodes (cost 68 ) 0.076 * * [simplify]: iteration 1 : 104 enodes (cost 52 ) 0.078 * * [simplify]: iteration 2 : 467 enodes (cost 52 ) 0.088 * * [simplify]: iteration 3 : 2419 enodes (cost 52 ) 0.157 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.157 * * * [progress]: adding candidates to table 0.185 * * [progress]: iteration 2 / 4 0.185 * * * [progress]: picking best candidate 0.186 * * * * [pick]: Picked # 0.186 * * * [progress]: localizing error 0.193 * * * [progress]: generating rewritten candidates 0.193 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.202 * * * [progress]: generating series expansions 0.202 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.202 * [backup-simplify]: Simplify (+ (* x x) (* (* x 2.0) y)) into (+ (pow x 2) (* 2.0 (* x y))) 0.202 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [backup-simplify]: Simplify x into x 0.202 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.202 * [taylor]: Taking taylor expansion of 2.0 in y 0.202 * [backup-simplify]: Simplify 2.0 into 2.0 0.202 * [taylor]: Taking taylor expansion of (* x y) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [backup-simplify]: Simplify x into x 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 * [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 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 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 * [backup-simplify]: Simplify 2.0 into 2.0 0.202 * [taylor]: Taking taylor expansion of (* x y) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [taylor]: Taking taylor expansion of y in x 0.202 * [backup-simplify]: Simplify y into y 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 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 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 * [backup-simplify]: Simplify 2.0 into 2.0 0.202 * [taylor]: Taking taylor expansion of (* x y) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [taylor]: Taking taylor expansion of y in x 0.202 * [backup-simplify]: Simplify y into y 0.202 * [backup-simplify]: Simplify (* 0 y) into 0 0.203 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.204 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.204 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.204 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.204 * [taylor]: Taking taylor expansion of 2.0 in y 0.204 * [backup-simplify]: Simplify 2.0 into 2.0 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.205 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [taylor]: Taking taylor expansion of 1 in y 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.206 * [backup-simplify]: Simplify 2.0 into 2.0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.212 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.212 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [backup-simplify]: Simplify x into x 0.212 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.212 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.212 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.212 * [taylor]: Taking taylor expansion of 2.0 in y 0.212 * [backup-simplify]: Simplify 2.0 into 2.0 0.212 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.212 * [taylor]: Taking taylor expansion of (* x y) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [backup-simplify]: Simplify x into x 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* x 0) into 0 0.213 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.213 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.213 * [taylor]: Taking taylor expansion of 2.0 in x 0.213 * [backup-simplify]: Simplify 2.0 into 2.0 0.213 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.213 * [taylor]: Taking taylor expansion of (* x y) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [backup-simplify]: Simplify y into y 0.213 * [backup-simplify]: Simplify (* 0 y) into 0 0.214 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.214 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) 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 y)) in x 0.214 * [taylor]: Taking taylor expansion of (* x y) in x 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 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [backup-simplify]: Simplify (* 0 y) into 0 0.215 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.216 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.216 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.216 * [taylor]: Taking taylor expansion of 2.0 in y 0.216 * [backup-simplify]: Simplify 2.0 into 2.0 0.216 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.216 * [backup-simplify]: Simplify 2.0 into 2.0 0.216 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 2.0 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 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 2.0 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 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.226 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.226 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [backup-simplify]: Simplify x into x 0.226 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.227 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.227 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.227 * [taylor]: Taking taylor expansion of 2.0 in y 0.227 * [backup-simplify]: Simplify 2.0 into 2.0 0.227 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.227 * [taylor]: Taking taylor expansion of (* x y) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [backup-simplify]: Simplify x into x 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (* x 0) into 0 0.227 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.227 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 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 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (* 1 1) into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.228 * [taylor]: Taking taylor expansion of 2.0 in x 0.228 * [backup-simplify]: Simplify 2.0 into 2.0 0.228 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.228 * [taylor]: Taking taylor expansion of (* x y) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [backup-simplify]: Simplify y into y 0.228 * [backup-simplify]: Simplify (* 0 y) into 0 0.228 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.228 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.229 * [taylor]: Taking taylor expansion of 2.0 in x 0.229 * [backup-simplify]: Simplify 2.0 into 2.0 0.229 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.231 * [taylor]: Taking taylor expansion of (* x y) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [backup-simplify]: Simplify y into y 0.231 * [backup-simplify]: Simplify (* 0 y) into 0 0.231 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.232 * [taylor]: Taking taylor expansion of 1 in y 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.233 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.233 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.233 * [taylor]: Taking taylor expansion of 2.0 in y 0.233 * [backup-simplify]: Simplify 2.0 into 2.0 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.233 * [backup-simplify]: Simplify 2.0 into 2.0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.243 * * * [progress]: simplifying candidates 0.244 * [simplify]: Simplifying: (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))) 0.244 * [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))) 0.247 * * [simplify]: iteration 0 : 114 enodes (cost 102 ) 0.250 * * [simplify]: iteration 1 : 608 enodes (cost 90 ) 0.265 * * [simplify]: iteration 2 : 3011 enodes (cost 77 ) 0.340 * * [simplify]: iteration 3 : 5001 enodes (cost 77 ) 0.340 * * * [progress]: adding candidates to table 0.375 * [progress]: [Phase 3 of 3] Extracting. 0.375 * * [regime]: Finding splitpoints for: (# #) 0.376 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 0.376 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 0.390 * * * * [regimes]: Trying to branch on y from (# #) 0.401 * * * * [regimes]: Trying to branch on x from (# #) 0.412 * * * [regime]: Found split indices: #