17.575 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (/ (* x y) z) 0.017 * [simplify]: Sending expressions to egg_math: (/ (* h0 h1) h2) 0.020 * * [simplify]: iteration 0 : 8 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 12 enodes (cost 2 ) 0.023 * * [simplify]: iteration 2 : 15 enodes (cost 2 ) 0.024 * * [simplify]: iteration 3 : 16 enodes (cost 2 ) 0.026 * * [simplify]: iteration 4 : 16 enodes (cost 2 ) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [backup-simplify]: Simplify (/ (* x y) z) into (/ (* x y) z) 0.042 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x y z) around 0 0.042 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.042 * [taylor]: Taking taylor expansion of (* x y) in z 0.042 * [taylor]: Taking taylor expansion of x in z 0.042 * [backup-simplify]: Simplify x into x 0.042 * [taylor]: Taking taylor expansion of y in z 0.042 * [backup-simplify]: Simplify y into y 0.042 * [taylor]: Taking taylor expansion of z in z 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [backup-simplify]: Simplify (* x y) into (* x y) 0.042 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 0.042 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 0.042 * [taylor]: Taking taylor expansion of (* x y) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [backup-simplify]: Simplify x into x 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [taylor]: Taking taylor expansion of z in y 0.042 * [backup-simplify]: Simplify z into z 0.042 * [backup-simplify]: Simplify (* x 0) into 0 0.043 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.043 * [backup-simplify]: Simplify (/ x z) into (/ x z) 0.043 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.043 * [taylor]: Taking taylor expansion of (* x y) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [backup-simplify]: Simplify y into y 0.043 * [taylor]: Taking taylor expansion of z in x 0.043 * [backup-simplify]: Simplify z into z 0.043 * [backup-simplify]: Simplify (* 0 y) into 0 0.043 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.043 * [backup-simplify]: Simplify (/ y z) into (/ y z) 0.043 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.043 * [taylor]: Taking taylor expansion of (* x y) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [backup-simplify]: Simplify y into y 0.043 * [taylor]: Taking taylor expansion of z in x 0.043 * [backup-simplify]: Simplify z into z 0.043 * [backup-simplify]: Simplify (* 0 y) into 0 0.044 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.044 * [backup-simplify]: Simplify (/ y z) into (/ y z) 0.044 * [taylor]: Taking taylor expansion of (/ y z) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [taylor]: Taking taylor expansion of z in y 0.044 * [backup-simplify]: Simplify z into z 0.044 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.044 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.044 * [taylor]: Taking taylor expansion of z in z 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [backup-simplify]: Simplify (/ 1 1) into 1 0.044 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.045 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)))) into 0 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [taylor]: Taking taylor expansion of 0 in z 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)))) into 0 0.045 * [taylor]: Taking taylor expansion of 0 in z 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.046 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [taylor]: Taking taylor expansion of 0 in z 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [taylor]: Taking taylor expansion of 0 in z 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.047 * [taylor]: Taking taylor expansion of 0 in z 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.048 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [taylor]: Taking taylor expansion of 0 in z 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [taylor]: Taking taylor expansion of 0 in z 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [taylor]: Taking taylor expansion of 0 in z 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.048 * [taylor]: Taking taylor expansion of 0 in z 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (* 1 (* (/ 1 z) (* y x))) into (/ (* x y) z) 0.049 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 y)) (/ 1 z)) into (/ z (* x y)) 0.049 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x y z) around 0 0.049 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.049 * [taylor]: Taking taylor expansion of z in z 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of (* x y) in z 0.049 * [taylor]: Taking taylor expansion of x in z 0.049 * [backup-simplify]: Simplify x into x 0.049 * [taylor]: Taking taylor expansion of y in z 0.049 * [backup-simplify]: Simplify y into y 0.049 * [backup-simplify]: Simplify (* x y) into (* x y) 0.049 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.049 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.049 * [taylor]: Taking taylor expansion of z in y 0.049 * [backup-simplify]: Simplify z into z 0.049 * [taylor]: Taking taylor expansion of (* x y) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [backup-simplify]: Simplify x into x 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (* x 0) into 0 0.049 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.049 * [backup-simplify]: Simplify (/ z x) into (/ z x) 0.049 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.049 * [taylor]: Taking taylor expansion of z in x 0.049 * [backup-simplify]: Simplify z into z 0.049 * [taylor]: Taking taylor expansion of (* x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (* 0 y) into 0 0.050 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.050 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.050 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.050 * [taylor]: Taking taylor expansion of z in x 0.050 * [backup-simplify]: Simplify z into z 0.050 * [taylor]: Taking taylor expansion of (* x y) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (* 0 y) into 0 0.050 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.050 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.050 * [taylor]: Taking taylor expansion of (/ z y) in y 0.050 * [taylor]: Taking taylor expansion of z in y 0.050 * [backup-simplify]: Simplify z into z 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (/ z 1) into z 0.050 * [taylor]: Taking taylor expansion of z in z 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.051 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)))) into 0 0.052 * [taylor]: Taking taylor expansion of 0 in z 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.053 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [taylor]: Taking taylor expansion of 0 in z 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.053 * [taylor]: Taking taylor expansion of 0 in z 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (* 1 (* (/ 1 z) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (/ (* x y) z) 0.054 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z))) into (* -1 (/ z (* x y))) 0.054 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x y z) around 0 0.054 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 0.054 * [taylor]: Taking taylor expansion of -1 in z 0.054 * [backup-simplify]: Simplify -1 into -1 0.054 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.054 * [taylor]: Taking taylor expansion of z in z 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (* x y) in z 0.054 * [taylor]: Taking taylor expansion of x in z 0.054 * [backup-simplify]: Simplify x into x 0.054 * [taylor]: Taking taylor expansion of y in z 0.054 * [backup-simplify]: Simplify y into y 0.054 * [backup-simplify]: Simplify (* x y) into (* x y) 0.054 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.054 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 0.054 * [taylor]: Taking taylor expansion of -1 in y 0.054 * [backup-simplify]: Simplify -1 into -1 0.054 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.054 * [taylor]: Taking taylor expansion of z in y 0.054 * [backup-simplify]: Simplify z into z 0.054 * [taylor]: Taking taylor expansion of (* x y) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 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 (* x 0) into 0 0.054 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.055 * [backup-simplify]: Simplify (/ z x) into (/ z x) 0.055 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.055 * [taylor]: Taking taylor expansion of -1 in x 0.055 * [backup-simplify]: Simplify -1 into -1 0.055 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.055 * [taylor]: Taking taylor expansion of z in x 0.055 * [backup-simplify]: Simplify z into z 0.055 * [taylor]: Taking taylor expansion of (* x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [backup-simplify]: Simplify y into y 0.055 * [backup-simplify]: Simplify (* 0 y) into 0 0.055 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.055 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.055 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.055 * [taylor]: Taking taylor expansion of -1 in x 0.055 * [backup-simplify]: Simplify -1 into -1 0.055 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.055 * [taylor]: Taking taylor expansion of z in x 0.055 * [backup-simplify]: Simplify z into z 0.055 * [taylor]: Taking taylor expansion of (* x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [backup-simplify]: Simplify y into y 0.055 * [backup-simplify]: Simplify (* 0 y) into 0 0.055 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.056 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.056 * [backup-simplify]: Simplify (* -1 (/ z y)) into (* -1 (/ z y)) 0.056 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in y 0.056 * [taylor]: Taking taylor expansion of -1 in y 0.056 * [backup-simplify]: Simplify -1 into -1 0.056 * [taylor]: Taking taylor expansion of (/ z y) in y 0.056 * [taylor]: Taking taylor expansion of z in y 0.056 * [backup-simplify]: Simplify z into z 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (/ z 1) into z 0.056 * [backup-simplify]: Simplify (* -1 z) into (* -1 z) 0.056 * [taylor]: Taking taylor expansion of (* -1 z) in z 0.056 * [taylor]: Taking taylor expansion of -1 in z 0.056 * [backup-simplify]: Simplify -1 into -1 0.056 * [taylor]: Taking taylor expansion of z in z 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.056 * [backup-simplify]: Simplify -1 into -1 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 0.057 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ z y))) into 0 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 z)) into 0 0.058 * [taylor]: Taking taylor expansion of 0 in z 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.060 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ z y)))) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [taylor]: Taking taylor expansion of 0 in z 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 z))) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in z 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- z)) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (/ (* x y) z) 0.063 * * * [progress]: simplifying candidates 0.063 * [simplify]: Simplifying: (- (+ (log x) (log y)) (log z)) (- (log (* x y)) (log z)) (log (/ (* x y) z)) (exp (/ (* x y) z)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z)) (* (cbrt (/ (* x y) z)) (cbrt (/ (* x y) z))) (cbrt (/ (* x y) z)) (* (* (/ (* x y) z) (/ (* x y) z)) (/ (* x y) z)) (sqrt (/ (* x y) z)) (sqrt (/ (* x y) z)) (- (* x y)) (- z) (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) (/ x 1) (/ y z) (/ 1 z) (/ z (* x y)) (/ (* x y) (* (cbrt z) (cbrt z))) (/ (* x y) (sqrt z)) (/ (* x y) 1) (/ z y) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 0.063 * [simplify]: Sending expressions to egg_math: (- (+ (log h0) (log h1)) (log h2)) (- (log (* h0 h1)) (log h2)) (log (/ (* h0 h1) h2)) (exp (/ (* h0 h1) h2)) (/ (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (/ (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (cbrt (/ (* h0 h1) h2)) (cbrt (/ (* h0 h1) h2))) (cbrt (/ (* h0 h1) h2)) (* (* (/ (* h0 h1) h2) (/ (* h0 h1) h2)) (/ (* h0 h1) h2)) (sqrt (/ (* h0 h1) h2)) (sqrt (/ (* h0 h1) h2)) (- (* h0 h1)) (- h2) (/ h0 (* (cbrt h2) (cbrt h2))) (/ h1 (cbrt h2)) (/ h0 (sqrt h2)) (/ h1 (sqrt h2)) (/ h0 1) (/ h1 h2) (/ 1 h2) (/ h2 (* h0 h1)) (/ (* h0 h1) (* (cbrt h2) (cbrt h2))) (/ (* h0 h1) (sqrt h2)) (/ (* h0 h1) 1) (/ h2 h1) (/ (* h0 h1) h2) (/ (* h0 h1) h2) (/ (* h0 h1) h2) 0.067 * * [simplify]: iteration 0 : 111 enodes (cost 85 ) 0.069 * * [simplify]: iteration 1 : 514 enodes (cost 70 ) 0.079 * * [simplify]: iteration 2 : 2471 enodes (cost 70 ) 0.121 * * [simplify]: iteration 3 : 5001 enodes (cost 70 ) 0.121 * * * [progress]: adding candidates to table 0.157 * * [progress]: iteration 2 / 4 0.157 * * * [progress]: picking best candidate 0.164 * * * * [pick]: Picked # 0.164 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.195 * * * [progress]: generating series expansions 0.195 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.195 * [backup-simplify]: Simplify (* (* x y) (/ 1 z)) into (/ (* x y) z) 0.195 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x y z) around 0 0.195 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.195 * [taylor]: Taking taylor expansion of (* x y) in z 0.195 * [taylor]: Taking taylor expansion of x in z 0.195 * [backup-simplify]: Simplify x into x 0.195 * [taylor]: Taking taylor expansion of y in z 0.196 * [backup-simplify]: Simplify y into y 0.196 * [taylor]: Taking taylor expansion of z in z 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* x y) into (* x y) 0.196 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 0.196 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 0.196 * [taylor]: Taking taylor expansion of (* x y) in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [backup-simplify]: Simplify x into x 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of z in y 0.196 * [backup-simplify]: Simplify z into z 0.196 * [backup-simplify]: Simplify (* x 0) into 0 0.196 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.196 * [backup-simplify]: Simplify (/ x z) into (/ x z) 0.196 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.196 * [taylor]: Taking taylor expansion of (* x y) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [backup-simplify]: Simplify y into y 0.196 * [taylor]: Taking taylor expansion of z in x 0.196 * [backup-simplify]: Simplify z into z 0.196 * [backup-simplify]: Simplify (* 0 y) into 0 0.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.197 * [backup-simplify]: Simplify (/ y z) into (/ y z) 0.197 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.197 * [taylor]: Taking taylor expansion of (* x y) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [backup-simplify]: Simplify y into y 0.197 * [taylor]: Taking taylor expansion of z in x 0.197 * [backup-simplify]: Simplify z into z 0.197 * [backup-simplify]: Simplify (* 0 y) into 0 0.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.197 * [backup-simplify]: Simplify (/ y z) into (/ y z) 0.197 * [taylor]: Taking taylor expansion of (/ y z) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of z in y 0.197 * [backup-simplify]: Simplify z into z 0.197 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.197 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.197 * [taylor]: Taking taylor expansion of z in z 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.198 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)))) into 0 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [taylor]: Taking taylor expansion of 0 in z 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)))) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.200 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [taylor]: Taking taylor expansion of 0 in z 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [taylor]: Taking taylor expansion of 0 in z 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.200 * [taylor]: Taking taylor expansion of 0 in z 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.202 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in z 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (* 1 (* (/ 1 z) (* y x))) into (/ (* x y) z) 0.202 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 y)) (/ 1 (/ 1 z))) into (/ z (* x y)) 0.202 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x y z) around 0 0.202 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.202 * [taylor]: Taking taylor expansion of z in z 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [taylor]: Taking taylor expansion of (* x y) in z 0.202 * [taylor]: Taking taylor expansion of x in z 0.202 * [backup-simplify]: Simplify x into x 0.202 * [taylor]: Taking taylor expansion of y in z 0.202 * [backup-simplify]: Simplify y into y 0.202 * [backup-simplify]: Simplify (* x y) into (* x y) 0.202 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.202 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.202 * [taylor]: Taking taylor expansion of z in y 0.202 * [backup-simplify]: Simplify z into z 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 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* x 0) into 0 0.203 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.203 * [backup-simplify]: Simplify (/ z x) into (/ z x) 0.203 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.203 * [taylor]: Taking taylor expansion of z in x 0.203 * [backup-simplify]: Simplify z into z 0.203 * [taylor]: Taking taylor expansion of (* x y) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.203 * [backup-simplify]: Simplify (* 0 y) into 0 0.203 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.203 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.203 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.203 * [taylor]: Taking taylor expansion of z in x 0.203 * [backup-simplify]: Simplify z into z 0.203 * [taylor]: Taking taylor expansion of (* x y) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.203 * [backup-simplify]: Simplify (* 0 y) into 0 0.204 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.204 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.204 * [taylor]: Taking taylor expansion of (/ z y) in y 0.204 * [taylor]: Taking taylor expansion of z in y 0.204 * [backup-simplify]: Simplify z into z 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 (/ z 1) into z 0.204 * [taylor]: Taking taylor expansion of z in z 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.205 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)))) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in z 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.206 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [taylor]: Taking taylor expansion of 0 in z 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [taylor]: Taking taylor expansion of 0 in z 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (* 1 (* (/ 1 z) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (/ (* x y) z) 0.207 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (/ 1 (- z)))) into (* -1 (/ z (* x y))) 0.207 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x y z) around 0 0.207 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 0.207 * [taylor]: Taking taylor expansion of -1 in z 0.207 * [backup-simplify]: Simplify -1 into -1 0.207 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.207 * [taylor]: Taking taylor expansion of z in z 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of (* x y) in z 0.208 * [taylor]: Taking taylor expansion of x in z 0.208 * [backup-simplify]: Simplify x into x 0.208 * [taylor]: Taking taylor expansion of y in z 0.208 * [backup-simplify]: Simplify y into y 0.208 * [backup-simplify]: Simplify (* x y) into (* x y) 0.208 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.208 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 0.208 * [taylor]: Taking taylor expansion of -1 in y 0.208 * [backup-simplify]: Simplify -1 into -1 0.208 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.208 * [taylor]: Taking taylor expansion of z in y 0.208 * [backup-simplify]: Simplify z into z 0.208 * [taylor]: Taking taylor expansion of (* x y) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [backup-simplify]: Simplify x into x 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* x 0) into 0 0.208 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.208 * [backup-simplify]: Simplify (/ z x) into (/ z x) 0.208 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.208 * [taylor]: Taking taylor expansion of -1 in x 0.208 * [backup-simplify]: Simplify -1 into -1 0.208 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.208 * [taylor]: Taking taylor expansion of z in x 0.208 * [backup-simplify]: Simplify z into z 0.208 * [taylor]: Taking taylor expansion of (* x y) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [backup-simplify]: Simplify y into y 0.208 * [backup-simplify]: Simplify (* 0 y) into 0 0.209 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.209 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.209 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.209 * [taylor]: Taking taylor expansion of -1 in x 0.209 * [backup-simplify]: Simplify -1 into -1 0.209 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.209 * [taylor]: Taking taylor expansion of z in x 0.209 * [backup-simplify]: Simplify z into z 0.209 * [taylor]: Taking taylor expansion of (* x y) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [backup-simplify]: Simplify y into y 0.209 * [backup-simplify]: Simplify (* 0 y) into 0 0.209 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.209 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.209 * [backup-simplify]: Simplify (* -1 (/ z y)) into (* -1 (/ z y)) 0.209 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in y 0.209 * [taylor]: Taking taylor expansion of -1 in y 0.209 * [backup-simplify]: Simplify -1 into -1 0.209 * [taylor]: Taking taylor expansion of (/ z y) in y 0.209 * [taylor]: Taking taylor expansion of z in y 0.209 * [backup-simplify]: Simplify z into z 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ z 1) into z 0.209 * [backup-simplify]: Simplify (* -1 z) into (* -1 z) 0.209 * [taylor]: Taking taylor expansion of (* -1 z) in z 0.209 * [taylor]: Taking taylor expansion of -1 in z 0.210 * [backup-simplify]: Simplify -1 into -1 0.210 * [taylor]: Taking taylor expansion of z in z 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.210 * [backup-simplify]: Simplify -1 into -1 0.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.211 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ z y))) into 0 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 z)) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in z 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.213 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.214 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ z y)))) into 0 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [taylor]: Taking taylor expansion of 0 in z 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 z))) into 0 0.215 * [taylor]: Taking taylor expansion of 0 in z 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- z)) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (/ (* x y) z) 0.216 * * * [progress]: simplifying candidates 0.216 * [simplify]: Simplifying: (* (* x y) (/ 1 z)) (* (* x y) (/ 1 z)) (+ (+ (log x) (log y)) (- (log z))) (+ (+ (log x) (log y)) (- 0 (log z))) (+ (+ (log x) (log y)) (- (log 1) (log z))) (+ (+ (log x) (log y)) (log (/ 1 z))) (+ (log (* x y)) (- (log z))) (+ (log (* x y)) (- 0 (log z))) (+ (log (* x y)) (- (log 1) (log z))) (+ (log (* x y)) (log (/ 1 z))) (log (* (* x y) (/ 1 z))) (exp (* (* x y) (/ 1 z))) (* (* (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* z z) z))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z))) (* (* (* (* x y) (* x y)) (* x y)) (/ (* (* 1 1) 1) (* (* z z) z))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z))) (* (cbrt (* (* x y) (/ 1 z))) (cbrt (* (* x y) (/ 1 z)))) (cbrt (* (* x y) (/ 1 z))) (* (* (* (* x y) (/ 1 z)) (* (* x y) (/ 1 z))) (* (* x y) (/ 1 z))) (sqrt (* (* x y) (/ 1 z))) (sqrt (* (* x y) (/ 1 z))) (* (* x y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (* (* x y) (sqrt (/ 1 z))) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt z) (cbrt z)))) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt z))) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (* x y) (/ (sqrt 1) (* (cbrt z) (cbrt z)))) (* (* x y) (/ (sqrt 1) (sqrt z))) (* (* x y) (/ (sqrt 1) 1)) (* (* x y) (/ 1 (* (cbrt z) (cbrt z)))) (* (* x y) (/ 1 (sqrt z))) (* (* x y) (/ 1 1)) (* (* x y) 1) (* (* x y) 1) (* y (/ 1 z)) (* (* x y) 1) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 0.216 * [simplify]: Sending expressions to egg_math: (* (* h0 h1) (/ 1 h2)) (* (* h0 h1) (/ 1 h2)) (+ (+ (log h0) (log h1)) (- (log h2))) (+ (+ (log h0) (log h1)) (- 0 (log h2))) (+ (+ (log h0) (log h1)) (- (log 1) (log h2))) (+ (+ (log h0) (log h1)) (log (/ 1 h2))) (+ (log (* h0 h1)) (- (log h2))) (+ (log (* h0 h1)) (- 0 (log h2))) (+ (log (* h0 h1)) (- (log 1) (log h2))) (+ (log (* h0 h1)) (log (/ 1 h2))) (log (* (* h0 h1) (/ 1 h2))) (exp (* (* h0 h1) (/ 1 h2))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (/ (* (* 1 1) 1) (* (* h2 h2) h2))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (/ 1 h2) (/ 1 h2)) (/ 1 h2))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (/ (* (* 1 1) 1) (* (* h2 h2) h2))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (/ 1 h2) (/ 1 h2)) (/ 1 h2))) (* (cbrt (* (* h0 h1) (/ 1 h2))) (cbrt (* (* h0 h1) (/ 1 h2)))) (cbrt (* (* h0 h1) (/ 1 h2))) (* (* (* (* h0 h1) (/ 1 h2)) (* (* h0 h1) (/ 1 h2))) (* (* h0 h1) (/ 1 h2))) (sqrt (* (* h0 h1) (/ 1 h2))) (sqrt (* (* h0 h1) (/ 1 h2))) (* (* h0 h1) (* (cbrt (/ 1 h2)) (cbrt (/ 1 h2)))) (* (* h0 h1) (sqrt (/ 1 h2))) (* (* h0 h1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt h2) (cbrt h2)))) (* (* h0 h1) (/ (* (cbrt 1) (cbrt 1)) (sqrt h2))) (* (* h0 h1) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (* h0 h1) (/ (sqrt 1) (* (cbrt h2) (cbrt h2)))) (* (* h0 h1) (/ (sqrt 1) (sqrt h2))) (* (* h0 h1) (/ (sqrt 1) 1)) (* (* h0 h1) (/ 1 (* (cbrt h2) (cbrt h2)))) (* (* h0 h1) (/ 1 (sqrt h2))) (* (* h0 h1) (/ 1 1)) (* (* h0 h1) 1) (* (* h0 h1) 1) (* h1 (/ 1 h2)) (* (* h0 h1) 1) (/ (* h0 h1) h2) (/ (* h0 h1) h2) (/ (* h0 h1) h2) 0.220 * * [simplify]: iteration 0 : 244 enodes (cost 183 ) 0.226 * * [simplify]: iteration 1 : 1259 enodes (cost 141 ) 0.251 * * [simplify]: iteration 2 : 5001 enodes (cost 127 ) 0.252 * * * [progress]: adding candidates to table 0.299 * * [progress]: iteration 3 / 4 0.299 * * * [progress]: picking best candidate 0.306 * * * * [pick]: Picked # 0.306 * * * [progress]: localizing error 0.311 * * * [progress]: generating rewritten candidates 0.311 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.319 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.336 * * * [progress]: generating series expansions 0.336 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.336 * [backup-simplify]: Simplify (/ z (* x y)) into (/ z (* x y)) 0.336 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (z x y) around 0 0.336 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.336 * [taylor]: Taking taylor expansion of z in y 0.336 * [backup-simplify]: Simplify z into z 0.336 * [taylor]: Taking taylor expansion of (* x y) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [backup-simplify]: Simplify x into x 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* x 0) into 0 0.337 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.337 * [backup-simplify]: Simplify (/ z x) into (/ z x) 0.337 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.337 * [taylor]: Taking taylor expansion of z in x 0.337 * [backup-simplify]: Simplify z into z 0.337 * [taylor]: Taking taylor expansion of (* x y) in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [backup-simplify]: Simplify y into y 0.337 * [backup-simplify]: Simplify (* 0 y) into 0 0.337 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.337 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.337 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.337 * [taylor]: Taking taylor expansion of z in z 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [taylor]: Taking taylor expansion of (* x y) in z 0.337 * [taylor]: Taking taylor expansion of x in z 0.337 * [backup-simplify]: Simplify x into x 0.337 * [taylor]: Taking taylor expansion of y in z 0.337 * [backup-simplify]: Simplify y into y 0.337 * [backup-simplify]: Simplify (* x y) into (* x y) 0.337 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.337 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.337 * [taylor]: Taking taylor expansion of z in z 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [taylor]: Taking taylor expansion of (* x y) in z 0.337 * [taylor]: Taking taylor expansion of x in z 0.337 * [backup-simplify]: Simplify x into x 0.337 * [taylor]: Taking taylor expansion of y in z 0.337 * [backup-simplify]: Simplify y into y 0.337 * [backup-simplify]: Simplify (* x y) into (* x y) 0.337 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.338 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.338 * [taylor]: Taking taylor expansion of (* x y) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [backup-simplify]: Simplify y into y 0.338 * [backup-simplify]: Simplify (* 0 y) into 0 0.338 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.338 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (+ (* x 0) (* 0 y)) into 0 0.339 * [backup-simplify]: Simplify (- (/ 0 (* x y)) (+ (* (/ 1 (* x y)) (/ 0 (* x y))))) into 0 0.339 * [taylor]: Taking taylor expansion of 0 in x 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 y))) into 0 0.340 * [backup-simplify]: Simplify (- (/ 0 (* x y)) (+ (* (/ 1 (* x y)) (/ 0 (* x y))) (* 0 (/ 0 (* x y))))) into 0 0.340 * [taylor]: Taking taylor expansion of 0 in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.343 * [backup-simplify]: Simplify (- (/ 0 (* x y)) (+ (* (/ 1 (* x y)) (/ 0 (* x y))) (* 0 (/ 0 (* x y))) (* 0 (/ 0 (* x y))))) into 0 0.343 * [taylor]: Taking taylor expansion of 0 in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (* 1 (* (/ 1 y) (* (/ 1 x) z))) into (/ z (* x y)) 0.344 * [backup-simplify]: Simplify (/ (/ 1 z) (* (/ 1 x) (/ 1 y))) into (/ (* x y) z) 0.344 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (z x y) around 0 0.344 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 0.344 * [taylor]: Taking taylor expansion of (* x y) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [backup-simplify]: Simplify x into x 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of z in y 0.344 * [backup-simplify]: Simplify z into z 0.344 * [backup-simplify]: Simplify (* x 0) into 0 0.344 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.345 * [backup-simplify]: Simplify (/ x z) into (/ x z) 0.345 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.345 * [taylor]: Taking taylor expansion of (* x y) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [backup-simplify]: Simplify y into y 0.345 * [taylor]: Taking taylor expansion of z in x 0.345 * [backup-simplify]: Simplify z into z 0.345 * [backup-simplify]: Simplify (* 0 y) into 0 0.345 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.345 * [backup-simplify]: Simplify (/ y z) into (/ y z) 0.345 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.345 * [taylor]: Taking taylor expansion of (* x y) in z 0.345 * [taylor]: Taking taylor expansion of x in z 0.345 * [backup-simplify]: Simplify x into x 0.345 * [taylor]: Taking taylor expansion of y in z 0.345 * [backup-simplify]: Simplify y into y 0.345 * [taylor]: Taking taylor expansion of z in z 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* x y) into (* x y) 0.345 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 0.345 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.345 * [taylor]: Taking taylor expansion of (* x y) in z 0.345 * [taylor]: Taking taylor expansion of x in z 0.345 * [backup-simplify]: Simplify x into x 0.345 * [taylor]: Taking taylor expansion of y in z 0.345 * [backup-simplify]: Simplify y into y 0.345 * [taylor]: Taking taylor expansion of z in z 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* x y) into (* x y) 0.345 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 0.346 * [taylor]: Taking taylor expansion of (* x y) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [backup-simplify]: Simplify y into y 0.346 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (+ (* x 0) (* 0 y)) into 0 0.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* x y) (/ 0 1)))) into 0 0.347 * [taylor]: Taking taylor expansion of 0 in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 y))) into 0 0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* x y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [taylor]: Taking taylor expansion of 0 in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (* 1 (* (/ 1 y) (* (/ 1 x) (/ 1 (/ 1 z))))) into (/ z (* x y)) 0.350 * [backup-simplify]: Simplify (/ (/ 1 (- z)) (* (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (* x y) z)) 0.350 * [approximate]: Taking taylor expansion of (* -1 (/ (* x y) z)) in (z x y) around 0 0.350 * [taylor]: Taking taylor expansion of (* -1 (/ (* x y) z)) in y 0.350 * [taylor]: Taking taylor expansion of -1 in y 0.350 * [backup-simplify]: Simplify -1 into -1 0.350 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 0.350 * [taylor]: Taking taylor expansion of (* x y) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [backup-simplify]: Simplify x into x 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of z in y 0.350 * [backup-simplify]: Simplify z into z 0.350 * [backup-simplify]: Simplify (* x 0) into 0 0.350 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.350 * [backup-simplify]: Simplify (/ x z) into (/ x z) 0.350 * [taylor]: Taking taylor expansion of (* -1 (/ (* x y) z)) in x 0.350 * [taylor]: Taking taylor expansion of -1 in x 0.350 * [backup-simplify]: Simplify -1 into -1 0.350 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.350 * [taylor]: Taking taylor expansion of (* x y) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [backup-simplify]: Simplify y into y 0.350 * [taylor]: Taking taylor expansion of z in x 0.350 * [backup-simplify]: Simplify z into z 0.350 * [backup-simplify]: Simplify (* 0 y) into 0 0.351 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.351 * [backup-simplify]: Simplify (/ y z) into (/ y z) 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ (* x y) z)) in z 0.351 * [taylor]: Taking taylor expansion of -1 in z 0.351 * [backup-simplify]: Simplify -1 into -1 0.351 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.351 * [taylor]: Taking taylor expansion of (* x y) in z 0.351 * [taylor]: Taking taylor expansion of x in z 0.351 * [backup-simplify]: Simplify x into x 0.351 * [taylor]: Taking taylor expansion of y in z 0.351 * [backup-simplify]: Simplify y into y 0.351 * [taylor]: Taking taylor expansion of z in z 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* x y) into (* x y) 0.351 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ (* x y) z)) in z 0.351 * [taylor]: Taking taylor expansion of -1 in z 0.351 * [backup-simplify]: Simplify -1 into -1 0.351 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.351 * [taylor]: Taking taylor expansion of (* x y) in z 0.351 * [taylor]: Taking taylor expansion of x in z 0.351 * [backup-simplify]: Simplify x into x 0.351 * [taylor]: Taking taylor expansion of y in z 0.351 * [backup-simplify]: Simplify y into y 0.351 * [taylor]: Taking taylor expansion of z in z 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* x y) into (* x y) 0.351 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 0.351 * [backup-simplify]: Simplify (* -1 (* x y)) into (* -1 (* x y)) 0.351 * [taylor]: Taking taylor expansion of (* -1 (* x y)) in x 0.351 * [taylor]: Taking taylor expansion of -1 in x 0.351 * [backup-simplify]: Simplify -1 into -1 0.351 * [taylor]: Taking taylor expansion of (* x y) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of y in x 0.351 * [backup-simplify]: Simplify y into y 0.352 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.352 * [backup-simplify]: Simplify (* 0 y) into 0 0.352 * [backup-simplify]: Simplify (+ (* -1 y) (* 0 0)) into (- y) 0.352 * [taylor]: Taking taylor expansion of (- y) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (- 1) into -1 0.352 * [backup-simplify]: Simplify -1 into -1 0.352 * [backup-simplify]: Simplify (+ (* x 0) (* 0 y)) into 0 0.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* x y) (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* x y))) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.354 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 y) (* 0 0))) into 0 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 y))) into 0 0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* x y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* x y)))) into 0 0.356 * [taylor]: Taking taylor expansion of 0 in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- y)) (* (/ 1 (- x)) (/ 1 (/ 1 (- z)))))) into (/ z (* x y)) 0.361 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.362 * [backup-simplify]: Simplify (/ 1 (/ z (* x y))) into (/ (* x y) z) 0.362 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (z x y) around 0 0.362 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 0.362 * [taylor]: Taking taylor expansion of (* x y) in y 0.362 * [taylor]: Taking taylor expansion of x in y 0.362 * [backup-simplify]: Simplify x into x 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of z in y 0.362 * [backup-simplify]: Simplify z into z 0.362 * [backup-simplify]: Simplify (* x 0) into 0 0.362 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.362 * [backup-simplify]: Simplify (/ x z) into (/ x z) 0.362 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.362 * [taylor]: Taking taylor expansion of (* x y) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [taylor]: Taking taylor expansion of y in x 0.362 * [backup-simplify]: Simplify y into y 0.362 * [taylor]: Taking taylor expansion of z in x 0.362 * [backup-simplify]: Simplify z into z 0.362 * [backup-simplify]: Simplify (* 0 y) into 0 0.362 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.363 * [backup-simplify]: Simplify (/ y z) into (/ y z) 0.363 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.363 * [taylor]: Taking taylor expansion of (* x y) in z 0.363 * [taylor]: Taking taylor expansion of x in z 0.363 * [backup-simplify]: Simplify x into x 0.363 * [taylor]: Taking taylor expansion of y in z 0.363 * [backup-simplify]: Simplify y into y 0.363 * [taylor]: Taking taylor expansion of z in z 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* x y) into (* x y) 0.363 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 0.363 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.363 * [taylor]: Taking taylor expansion of (* x y) in z 0.363 * [taylor]: Taking taylor expansion of x in z 0.363 * [backup-simplify]: Simplify x into x 0.363 * [taylor]: Taking taylor expansion of y in z 0.363 * [backup-simplify]: Simplify y into y 0.363 * [taylor]: Taking taylor expansion of z in z 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* x y) into (* x y) 0.363 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 0.363 * [taylor]: Taking taylor expansion of (* x y) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [backup-simplify]: Simplify y into y 0.363 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (+ (* x 0) (* 0 y)) into 0 0.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* x y) (/ 0 1)))) into 0 0.364 * [taylor]: Taking taylor expansion of 0 in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 y))) into 0 0.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* x y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [taylor]: Taking taylor expansion of 0 in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify (* 1 (* y (* x (/ 1 z)))) into (/ (* x y) z) 0.367 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 z) (* (/ 1 x) (/ 1 y)))) into (/ z (* x y)) 0.367 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (z x y) around 0 0.367 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.367 * [taylor]: Taking taylor expansion of z in y 0.367 * [backup-simplify]: Simplify z into z 0.367 * [taylor]: Taking taylor expansion of (* x y) in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [backup-simplify]: Simplify x into x 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* x 0) into 0 0.367 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.367 * [backup-simplify]: Simplify (/ z x) into (/ z x) 0.367 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.367 * [taylor]: Taking taylor expansion of z in x 0.367 * [backup-simplify]: Simplify z into z 0.367 * [taylor]: Taking taylor expansion of (* x y) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [backup-simplify]: Simplify y into y 0.367 * [backup-simplify]: Simplify (* 0 y) into 0 0.368 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.368 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.368 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.368 * [taylor]: Taking taylor expansion of z in z 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of (* x y) in z 0.368 * [taylor]: Taking taylor expansion of x in z 0.368 * [backup-simplify]: Simplify x into x 0.368 * [taylor]: Taking taylor expansion of y in z 0.368 * [backup-simplify]: Simplify y into y 0.368 * [backup-simplify]: Simplify (* x y) into (* x y) 0.368 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.368 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.368 * [taylor]: Taking taylor expansion of z in z 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of (* x y) in z 0.368 * [taylor]: Taking taylor expansion of x in z 0.368 * [backup-simplify]: Simplify x into x 0.368 * [taylor]: Taking taylor expansion of y in z 0.368 * [backup-simplify]: Simplify y into y 0.368 * [backup-simplify]: Simplify (* x y) into (* x y) 0.368 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.368 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.368 * [taylor]: Taking taylor expansion of (* x y) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [backup-simplify]: Simplify y into y 0.368 * [backup-simplify]: Simplify (* 0 y) into 0 0.369 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.369 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.369 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (+ (* x 0) (* 0 y)) into 0 0.369 * [backup-simplify]: Simplify (- (/ 0 (* x y)) (+ (* (/ 1 (* x y)) (/ 0 (* x y))))) into 0 0.369 * [taylor]: Taking taylor expansion of 0 in x 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 y))) into 0 0.371 * [backup-simplify]: Simplify (- (/ 0 (* x y)) (+ (* (/ 1 (* x y)) (/ 0 (* x y))) (* 0 (/ 0 (* x y))))) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.373 * [backup-simplify]: Simplify (- (/ 0 (* x y)) (+ (* (/ 1 (* x y)) (/ 0 (* x y))) (* 0 (/ 0 (* x y))) (* 0 (/ 0 (* x y))))) into 0 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 y)) (* (/ 1 (/ 1 x)) (/ 1 z)))) into (/ (* x y) z) 0.374 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- z)) (* (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ z (* x y))) 0.374 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (z x y) around 0 0.374 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 0.374 * [taylor]: Taking taylor expansion of -1 in y 0.374 * [backup-simplify]: Simplify -1 into -1 0.374 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.374 * [taylor]: Taking taylor expansion of z in y 0.374 * [backup-simplify]: Simplify z into z 0.374 * [taylor]: Taking taylor expansion of (* x y) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [backup-simplify]: Simplify x into x 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (* x 0) into 0 0.375 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.375 * [backup-simplify]: Simplify (/ z x) into (/ z x) 0.375 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.375 * [taylor]: Taking taylor expansion of -1 in x 0.375 * [backup-simplify]: Simplify -1 into -1 0.375 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.375 * [taylor]: Taking taylor expansion of z in x 0.375 * [backup-simplify]: Simplify z into z 0.375 * [taylor]: Taking taylor expansion of (* x y) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [backup-simplify]: Simplify y into y 0.375 * [backup-simplify]: Simplify (* 0 y) into 0 0.375 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.375 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.375 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 0.375 * [taylor]: Taking taylor expansion of -1 in z 0.375 * [backup-simplify]: Simplify -1 into -1 0.375 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.375 * [taylor]: Taking taylor expansion of z in z 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.376 * [taylor]: Taking taylor expansion of (* x y) in z 0.376 * [taylor]: Taking taylor expansion of x in z 0.376 * [backup-simplify]: Simplify x into x 0.376 * [taylor]: Taking taylor expansion of y in z 0.376 * [backup-simplify]: Simplify y into y 0.376 * [backup-simplify]: Simplify (* x y) into (* x y) 0.376 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.376 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 0.376 * [taylor]: Taking taylor expansion of -1 in z 0.376 * [backup-simplify]: Simplify -1 into -1 0.376 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.376 * [taylor]: Taking taylor expansion of z in z 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [taylor]: Taking taylor expansion of (* x y) in z 0.376 * [taylor]: Taking taylor expansion of x in z 0.376 * [backup-simplify]: Simplify x into x 0.376 * [taylor]: Taking taylor expansion of y in z 0.376 * [backup-simplify]: Simplify y into y 0.376 * [backup-simplify]: Simplify (* x y) into (* x y) 0.376 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.376 * [backup-simplify]: Simplify (* -1 (/ 1 (* x y))) into (/ -1 (* x y)) 0.376 * [taylor]: Taking taylor expansion of (/ -1 (* x y)) in x 0.376 * [taylor]: Taking taylor expansion of -1 in x 0.376 * [backup-simplify]: Simplify -1 into -1 0.376 * [taylor]: Taking taylor expansion of (* x y) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [backup-simplify]: Simplify y into y 0.376 * [backup-simplify]: Simplify (* 0 y) into 0 0.376 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.376 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.376 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.377 * [taylor]: Taking taylor expansion of -1 in y 0.377 * [backup-simplify]: Simplify -1 into -1 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ -1 1) into -1 0.377 * [backup-simplify]: Simplify -1 into -1 0.377 * [backup-simplify]: Simplify (+ (* x 0) (* 0 y)) into 0 0.377 * [backup-simplify]: Simplify (- (/ 0 (* x y)) (+ (* (/ 1 (* x y)) (/ 0 (* x y))))) into 0 0.377 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (* x y)))) into 0 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 y))) into 0 0.379 * [backup-simplify]: Simplify (- (/ 0 (* x y)) (+ (* (/ 1 (* x y)) (/ 0 (* x y))) (* 0 (/ 0 (* x y))))) into 0 0.379 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (* x y))))) into 0 0.379 * [taylor]: Taking taylor expansion of 0 in x 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.380 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.382 * [backup-simplify]: Simplify (- (/ 0 (* x y)) (+ (* (/ 1 (* x y)) (/ 0 (* x y))) (* 0 (/ 0 (* x y))) (* 0 (/ 0 (* x y))))) into 0 0.382 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* x y)))))) into 0 0.382 * [taylor]: Taking taylor expansion of 0 in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.383 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- y))) (* (/ 1 (/ 1 (- x))) (/ 1 (- z))))) into (/ (* x y) z) 0.384 * * * [progress]: simplifying candidates 0.385 * [simplify]: Simplifying: (- (log z) (+ (log x) (log y))) (- (log z) (log (* x y))) (log (/ z (* x y))) (exp (/ z (* x y))) (/ (* (* z z) z) (* (* (* x x) x) (* (* y y) y))) (/ (* (* z z) z) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y)))) (cbrt (/ z (* x y))) (* (* (/ z (* x y)) (/ z (* x y))) (/ z (* x y))) (sqrt (/ z (* x y))) (sqrt (/ z (* x y))) (- z) (- (* x y)) (/ (* (cbrt z) (cbrt z)) x) (/ (cbrt z) y) (/ (sqrt z) x) (/ (sqrt z) y) (/ 1 x) (/ z y) (/ 1 (* x y)) (/ (* x y) z) (/ z x) (/ (* x y) (cbrt z)) (/ (* x y) (sqrt z)) (/ (* x y) z) (- 1) (- (- (log z) (+ (log x) (log y)))) (- (- (log z) (log (* x y)))) (- (log (/ z (* x y)))) (- 0 (- (log z) (+ (log x) (log y)))) (- 0 (- (log z) (log (* x y)))) (- 0 (log (/ z (* x y)))) (- (log 1) (- (log z) (+ (log x) (log y)))) (- (log 1) (- (log z) (log (* x y)))) (- (log 1) (log (/ z (* x y)))) (log (/ 1 (/ z (* x y)))) (exp (/ 1 (/ z (* x y)))) (/ (* (* 1 1) 1) (/ (* (* z z) z) (* (* (* x x) x) (* (* y y) y)))) (/ (* (* 1 1) 1) (/ (* (* z z) z) (* (* (* x y) (* x y)) (* x y)))) (/ (* (* 1 1) 1) (* (* (/ z (* x y)) (/ z (* x y))) (/ z (* x y)))) (* (cbrt (/ 1 (/ z (* x y)))) (cbrt (/ 1 (/ z (* x y))))) (cbrt (/ 1 (/ z (* x y)))) (* (* (/ 1 (/ z (* x y))) (/ 1 (/ z (* x y)))) (/ 1 (/ z (* x y)))) (sqrt (/ 1 (/ z (* x y)))) (sqrt (/ 1 (/ z (* x y)))) (- 1) (- (/ z (* x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y))))) (/ (cbrt 1) (cbrt (/ z (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ z (* x y)))) (/ (cbrt 1) (sqrt (/ z (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt z) (cbrt z)) x)) (/ (cbrt 1) (/ (cbrt z) y)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt z) x)) (/ (cbrt 1) (/ (sqrt z) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ z y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ z (* x y))) (/ (* (cbrt 1) (cbrt 1)) z) (/ (cbrt 1) (/ 1 (* x y))) (/ (sqrt 1) (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y))))) (/ (sqrt 1) (cbrt (/ z (* x y)))) (/ (sqrt 1) (sqrt (/ z (* x y)))) (/ (sqrt 1) (sqrt (/ z (* x y)))) (/ (sqrt 1) (/ (* (cbrt z) (cbrt z)) x)) (/ (sqrt 1) (/ (cbrt z) y)) (/ (sqrt 1) (/ (sqrt z) x)) (/ (sqrt 1) (/ (sqrt z) y)) (/ (sqrt 1) (/ 1 x)) (/ (sqrt 1) (/ z y)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ z (* x y))) (/ (sqrt 1) z) (/ (sqrt 1) (/ 1 (* x y))) (/ 1 (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y))))) (/ 1 (cbrt (/ z (* x y)))) (/ 1 (sqrt (/ z (* x y)))) (/ 1 (sqrt (/ z (* x y)))) (/ 1 (/ (* (cbrt z) (cbrt z)) x)) (/ 1 (/ (cbrt z) y)) (/ 1 (/ (sqrt z) x)) (/ 1 (/ (sqrt z) y)) (/ 1 (/ 1 x)) (/ 1 (/ z y)) (/ 1 1) (/ 1 (/ z (* x y))) (/ 1 z) (/ 1 (/ 1 (* x y))) (/ 1 (/ z (* x y))) (/ (/ z (* x y)) 1) (/ 1 (* (cbrt (/ z (* x y))) (cbrt (/ z (* x y))))) (/ 1 (sqrt (/ z (* x y)))) (/ 1 (/ (* (cbrt z) (cbrt z)) x)) (/ 1 (/ (sqrt z) x)) (/ 1 (/ 1 x)) (/ 1 1) (/ 1 z) (/ (/ z (* x y)) (cbrt 1)) (/ (/ z (* x y)) (sqrt 1)) (/ (/ z (* x y)) 1) (/ 1 z) (/ z (* x y)) (/ z (* x y)) (/ z (* x y)) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 0.385 * [simplify]: Sending expressions to egg_math: (- (log h0) (+ (log h1) (log h2))) (- (log h0) (log (* h1 h2))) (log (/ h0 (* h1 h2))) (exp (/ h0 (* h1 h2))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h2 h2) h2))) (/ (* (* h0 h0) h0) (* (* (* h1 h2) (* h1 h2)) (* h1 h2))) (* (cbrt (/ h0 (* h1 h2))) (cbrt (/ h0 (* h1 h2)))) (cbrt (/ h0 (* h1 h2))) (* (* (/ h0 (* h1 h2)) (/ h0 (* h1 h2))) (/ h0 (* h1 h2))) (sqrt (/ h0 (* h1 h2))) (sqrt (/ h0 (* h1 h2))) (- h0) (- (* h1 h2)) (/ (* (cbrt h0) (cbrt h0)) h1) (/ (cbrt h0) h2) (/ (sqrt h0) h1) (/ (sqrt h0) h2) (/ 1 h1) (/ h0 h2) (/ 1 (* h1 h2)) (/ (* h1 h2) h0) (/ h0 h1) (/ (* h1 h2) (cbrt h0)) (/ (* h1 h2) (sqrt h0)) (/ (* h1 h2) h0) (- 1) (- (- (log h0) (+ (log h1) (log h2)))) (- (- (log h0) (log (* h1 h2)))) (- (log (/ h0 (* h1 h2)))) (- 0 (- (log h0) (+ (log h1) (log h2)))) (- 0 (- (log h0) (log (* h1 h2)))) (- 0 (log (/ h0 (* h1 h2)))) (- (log 1) (- (log h0) (+ (log h1) (log h2)))) (- (log 1) (- (log h0) (log (* h1 h2)))) (- (log 1) (log (/ h0 (* h1 h2)))) (log (/ 1 (/ h0 (* h1 h2)))) (exp (/ 1 (/ h0 (* h1 h2)))) (/ (* (* 1 1) 1) (/ (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h2 h2) h2)))) (/ (* (* 1 1) 1) (/ (* (* h0 h0) h0) (* (* (* h1 h2) (* h1 h2)) (* h1 h2)))) (/ (* (* 1 1) 1) (* (* (/ h0 (* h1 h2)) (/ h0 (* h1 h2))) (/ h0 (* h1 h2)))) (* (cbrt (/ 1 (/ h0 (* h1 h2)))) (cbrt (/ 1 (/ h0 (* h1 h2))))) (cbrt (/ 1 (/ h0 (* h1 h2)))) (* (* (/ 1 (/ h0 (* h1 h2))) (/ 1 (/ h0 (* h1 h2)))) (/ 1 (/ h0 (* h1 h2)))) (sqrt (/ 1 (/ h0 (* h1 h2)))) (sqrt (/ 1 (/ h0 (* h1 h2)))) (- 1) (- (/ h0 (* h1 h2))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ h0 (* h1 h2))) (cbrt (/ h0 (* h1 h2))))) (/ (cbrt 1) (cbrt (/ h0 (* h1 h2)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ h0 (* h1 h2)))) (/ (cbrt 1) (sqrt (/ h0 (* h1 h2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt h0) (cbrt h0)) h1)) (/ (cbrt 1) (/ (cbrt h0) h2)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt h0) h1)) (/ (cbrt 1) (/ (sqrt h0) h2)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 h1)) (/ (cbrt 1) (/ h0 h2)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ h0 (* h1 h2))) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) (/ 1 (* h1 h2))) (/ (sqrt 1) (* (cbrt (/ h0 (* h1 h2))) (cbrt (/ h0 (* h1 h2))))) (/ (sqrt 1) (cbrt (/ h0 (* h1 h2)))) (/ (sqrt 1) (sqrt (/ h0 (* h1 h2)))) (/ (sqrt 1) (sqrt (/ h0 (* h1 h2)))) (/ (sqrt 1) (/ (* (cbrt h0) (cbrt h0)) h1)) (/ (sqrt 1) (/ (cbrt h0) h2)) (/ (sqrt 1) (/ (sqrt h0) h1)) (/ (sqrt 1) (/ (sqrt h0) h2)) (/ (sqrt 1) (/ 1 h1)) (/ (sqrt 1) (/ h0 h2)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ h0 (* h1 h2))) (/ (sqrt 1) h0) (/ (sqrt 1) (/ 1 (* h1 h2))) (/ 1 (* (cbrt (/ h0 (* h1 h2))) (cbrt (/ h0 (* h1 h2))))) (/ 1 (cbrt (/ h0 (* h1 h2)))) (/ 1 (sqrt (/ h0 (* h1 h2)))) (/ 1 (sqrt (/ h0 (* h1 h2)))) (/ 1 (/ (* (cbrt h0) (cbrt h0)) h1)) (/ 1 (/ (cbrt h0) h2)) (/ 1 (/ (sqrt h0) h1)) (/ 1 (/ (sqrt h0) h2)) (/ 1 (/ 1 h1)) (/ 1 (/ h0 h2)) (/ 1 1) (/ 1 (/ h0 (* h1 h2))) (/ 1 h0) (/ 1 (/ 1 (* h1 h2))) (/ 1 (/ h0 (* h1 h2))) (/ (/ h0 (* h1 h2)) 1) (/ 1 (* (cbrt (/ h0 (* h1 h2))) (cbrt (/ h0 (* h1 h2))))) (/ 1 (sqrt (/ h0 (* h1 h2)))) (/ 1 (/ (* (cbrt h0) (cbrt h0)) h1)) (/ 1 (/ (sqrt h0) h1)) (/ 1 (/ 1 h1)) (/ 1 1) (/ 1 h0) (/ (/ h0 (* h1 h2)) (cbrt 1)) (/ (/ h0 (* h1 h2)) (sqrt 1)) (/ (/ h0 (* h1 h2)) 1) (/ 1 h0) (/ h0 (* h1 h2)) (/ h0 (* h1 h2)) (/ h0 (* h1 h2)) (/ (* h1 h2) h0) (/ (* h1 h2) h0) (/ (* h1 h2) h0) 0.390 * * [simplify]: iteration 0 : 268 enodes (cost 407 ) 0.396 * * [simplify]: iteration 1 : 1264 enodes (cost 342 ) 0.419 * * [simplify]: iteration 2 : 5002 enodes (cost 297 ) 0.421 * * * [progress]: adding candidates to table 0.510 * * [progress]: iteration 4 / 4 0.510 * * * [progress]: picking best candidate 0.516 * * * * [pick]: Picked # 0.516 * * * [progress]: localizing error 0.521 * * * [progress]: generating rewritten candidates 0.521 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.530 * * * [progress]: generating series expansions 0.530 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.530 * [backup-simplify]: Simplify (/ (* x y) z) into (/ (* x y) z) 0.530 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x y z) around 0 0.530 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.531 * [taylor]: Taking taylor expansion of (* x y) in z 0.531 * [taylor]: Taking taylor expansion of x in z 0.531 * [backup-simplify]: Simplify x into x 0.531 * [taylor]: Taking taylor expansion of y in z 0.531 * [backup-simplify]: Simplify y into y 0.531 * [taylor]: Taking taylor expansion of z in z 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* x y) into (* x y) 0.531 * [backup-simplify]: Simplify (/ (* x y) 1) into (* x y) 0.531 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 0.531 * [taylor]: Taking taylor expansion of (* x y) in y 0.531 * [taylor]: Taking taylor expansion of x in y 0.531 * [backup-simplify]: Simplify x into x 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of z in y 0.531 * [backup-simplify]: Simplify z into z 0.531 * [backup-simplify]: Simplify (* x 0) into 0 0.531 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.531 * [backup-simplify]: Simplify (/ x z) into (/ x z) 0.531 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.531 * [taylor]: Taking taylor expansion of (* x y) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of y in x 0.531 * [backup-simplify]: Simplify y into y 0.531 * [taylor]: Taking taylor expansion of z in x 0.531 * [backup-simplify]: Simplify z into z 0.532 * [backup-simplify]: Simplify (* 0 y) into 0 0.532 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.532 * [backup-simplify]: Simplify (/ y z) into (/ y z) 0.532 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.532 * [taylor]: Taking taylor expansion of (* x y) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [taylor]: Taking taylor expansion of y in x 0.532 * [backup-simplify]: Simplify y into y 0.532 * [taylor]: Taking taylor expansion of z in x 0.532 * [backup-simplify]: Simplify z into z 0.532 * [backup-simplify]: Simplify (* 0 y) into 0 0.532 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.532 * [backup-simplify]: Simplify (/ y z) into (/ y z) 0.532 * [taylor]: Taking taylor expansion of (/ y z) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [taylor]: Taking taylor expansion of z in y 0.533 * [backup-simplify]: Simplify z into z 0.533 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.533 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.533 * [taylor]: Taking taylor expansion of z in z 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.534 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)))) into 0 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [taylor]: Taking taylor expansion of 0 in z 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)))) into 0 0.534 * [taylor]: Taking taylor expansion of 0 in z 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.535 * [taylor]: Taking taylor expansion of 0 in y 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [taylor]: Taking taylor expansion of 0 in z 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [taylor]: Taking taylor expansion of 0 in z 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.535 * [taylor]: Taking taylor expansion of 0 in z 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ y z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [taylor]: Taking taylor expansion of 0 in z 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [taylor]: Taking taylor expansion of 0 in z 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [taylor]: Taking taylor expansion of 0 in z 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.537 * [taylor]: Taking taylor expansion of 0 in z 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (* 1 (* (/ 1 z) (* y x))) into (/ (* x y) z) 0.538 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 y)) (/ 1 z)) into (/ z (* x y)) 0.538 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x y z) around 0 0.538 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.538 * [taylor]: Taking taylor expansion of z in z 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of (* x y) in z 0.538 * [taylor]: Taking taylor expansion of x in z 0.538 * [backup-simplify]: Simplify x into x 0.538 * [taylor]: Taking taylor expansion of y in z 0.538 * [backup-simplify]: Simplify y into y 0.538 * [backup-simplify]: Simplify (* x y) into (* x y) 0.538 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.538 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.538 * [taylor]: Taking taylor expansion of z in y 0.538 * [backup-simplify]: Simplify z into z 0.538 * [taylor]: Taking taylor expansion of (* x y) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [backup-simplify]: Simplify x into x 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (* x 0) into 0 0.538 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.538 * [backup-simplify]: Simplify (/ z x) into (/ z x) 0.538 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.538 * [taylor]: Taking taylor expansion of z in x 0.538 * [backup-simplify]: Simplify z into z 0.538 * [taylor]: Taking taylor expansion of (* x y) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [backup-simplify]: Simplify y into y 0.538 * [backup-simplify]: Simplify (* 0 y) into 0 0.539 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.539 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.539 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.539 * [taylor]: Taking taylor expansion of z in x 0.539 * [backup-simplify]: Simplify z into z 0.539 * [taylor]: Taking taylor expansion of (* x y) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [backup-simplify]: Simplify y into y 0.539 * [backup-simplify]: Simplify (* 0 y) into 0 0.539 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.539 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.539 * [taylor]: Taking taylor expansion of (/ z y) in y 0.539 * [taylor]: Taking taylor expansion of z in y 0.539 * [backup-simplify]: Simplify z into z 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (/ z 1) into z 0.539 * [taylor]: Taking taylor expansion of z in z 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.540 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)))) into 0 0.541 * [taylor]: Taking taylor expansion of 0 in z 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.541 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [taylor]: Taking taylor expansion of 0 in z 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [taylor]: Taking taylor expansion of 0 in z 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (* 1 (* (/ 1 z) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (/ (* x y) z) 0.543 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z))) into (* -1 (/ z (* x y))) 0.543 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x y z) around 0 0.543 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 0.543 * [taylor]: Taking taylor expansion of -1 in z 0.543 * [backup-simplify]: Simplify -1 into -1 0.543 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.543 * [taylor]: Taking taylor expansion of z in z 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [taylor]: Taking taylor expansion of (* x y) in z 0.543 * [taylor]: Taking taylor expansion of x in z 0.543 * [backup-simplify]: Simplify x into x 0.543 * [taylor]: Taking taylor expansion of y in z 0.543 * [backup-simplify]: Simplify y into y 0.543 * [backup-simplify]: Simplify (* x y) into (* x y) 0.543 * [backup-simplify]: Simplify (/ 1 (* x y)) into (/ 1 (* x y)) 0.543 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 0.543 * [taylor]: Taking taylor expansion of -1 in y 0.543 * [backup-simplify]: Simplify -1 into -1 0.543 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.543 * [taylor]: Taking taylor expansion of z in y 0.543 * [backup-simplify]: Simplify z into z 0.543 * [taylor]: Taking taylor expansion of (* x y) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [backup-simplify]: Simplify x into x 0.543 * [taylor]: Taking taylor expansion of y in y 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (* x 0) into 0 0.543 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.543 * [backup-simplify]: Simplify (/ z x) into (/ z x) 0.543 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.543 * [taylor]: Taking taylor expansion of -1 in x 0.543 * [backup-simplify]: Simplify -1 into -1 0.543 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.544 * [taylor]: Taking taylor expansion of z in x 0.544 * [backup-simplify]: Simplify z into z 0.544 * [taylor]: Taking taylor expansion of (* x y) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [backup-simplify]: Simplify y into y 0.544 * [backup-simplify]: Simplify (* 0 y) into 0 0.544 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.544 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.544 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.544 * [taylor]: Taking taylor expansion of -1 in x 0.544 * [backup-simplify]: Simplify -1 into -1 0.544 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.544 * [taylor]: Taking taylor expansion of z in x 0.544 * [backup-simplify]: Simplify z into z 0.544 * [taylor]: Taking taylor expansion of (* x y) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [backup-simplify]: Simplify y into y 0.544 * [backup-simplify]: Simplify (* 0 y) into 0 0.545 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.545 * [backup-simplify]: Simplify (/ z y) into (/ z y) 0.545 * [backup-simplify]: Simplify (* -1 (/ z y)) into (* -1 (/ z y)) 0.545 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in y 0.545 * [taylor]: Taking taylor expansion of -1 in y 0.545 * [backup-simplify]: Simplify -1 into -1 0.545 * [taylor]: Taking taylor expansion of (/ z y) in y 0.545 * [taylor]: Taking taylor expansion of z in y 0.545 * [backup-simplify]: Simplify z into z 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (/ z 1) into z 0.545 * [backup-simplify]: Simplify (* -1 z) into (* -1 z) 0.545 * [taylor]: Taking taylor expansion of (* -1 z) in z 0.545 * [taylor]: Taking taylor expansion of -1 in z 0.545 * [backup-simplify]: Simplify -1 into -1 0.545 * [taylor]: Taking taylor expansion of z in z 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 0.545 * [backup-simplify]: Simplify -1 into -1 0.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.546 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ z y))) into 0 0.546 * [taylor]: Taking taylor expansion of 0 in y 0.546 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 z)) into 0 0.547 * [taylor]: Taking taylor expansion of 0 in z 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.549 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ z y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ z y)))) into 0 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [taylor]: Taking taylor expansion of 0 in z 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* z (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 z))) into 0 0.551 * [taylor]: Taking taylor expansion of 0 in z 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- z)) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (/ (* x y) z) 0.551 * * * [progress]: simplifying candidates 0.552 * [simplify]: Simplifying: (- (+ (log x) (log y)) (log z)) (- (log (* x y)) (log z)) (log (/ (* x y) z)) (exp (/ (* x y) z)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z)) (* (cbrt (/ (* x y) z)) (cbrt (/ (* x y) z))) (cbrt (/ (* x y) z)) (* (* (/ (* x y) z) (/ (* x y) z)) (/ (* x y) z)) (sqrt (/ (* x y) z)) (sqrt (/ (* x y) z)) (- (* x y)) (- z) (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) (/ x 1) (/ y z) (/ 1 z) (/ z (* x y)) (/ (* x y) (* (cbrt z) (cbrt z))) (/ (* x y) (sqrt z)) (/ (* x y) 1) (/ z y) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 0.552 * [simplify]: Sending expressions to egg_math: (- (+ (log h0) (log h1)) (log h2)) (- (log (* h0 h1)) (log h2)) (log (/ (* h0 h1) h2)) (exp (/ (* h0 h1) h2)) (/ (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (/ (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (cbrt (/ (* h0 h1) h2)) (cbrt (/ (* h0 h1) h2))) (cbrt (/ (* h0 h1) h2)) (* (* (/ (* h0 h1) h2) (/ (* h0 h1) h2)) (/ (* h0 h1) h2)) (sqrt (/ (* h0 h1) h2)) (sqrt (/ (* h0 h1) h2)) (- (* h0 h1)) (- h2) (/ h0 (* (cbrt h2) (cbrt h2))) (/ h1 (cbrt h2)) (/ h0 (sqrt h2)) (/ h1 (sqrt h2)) (/ h0 1) (/ h1 h2) (/ 1 h2) (/ h2 (* h0 h1)) (/ (* h0 h1) (* (cbrt h2) (cbrt h2))) (/ (* h0 h1) (sqrt h2)) (/ (* h0 h1) 1) (/ h2 h1) (/ (* h0 h1) h2) (/ (* h0 h1) h2) (/ (* h0 h1) h2) 0.555 * * [simplify]: iteration 0 : 111 enodes (cost 85 ) 0.557 * * [simplify]: iteration 1 : 514 enodes (cost 70 ) 0.566 * * [simplify]: iteration 2 : 2471 enodes (cost 70 ) 0.607 * * [simplify]: iteration 3 : 5001 enodes (cost 70 ) 0.608 * * * [progress]: adding candidates to table 0.643 * [progress]: [Phase 3 of 3] Extracting. 0.643 * * [regime]: Finding splitpoints for: (# # # # # #) 0.643 * * * [regime-changes]: Trying 5 branch expressions: ((* x y) (/ (* x y) z) z y x) 0.643 * * * * [regimes]: Trying to branch on (* x y) from (# # # # # #) 0.681 * * * * [regimes]: Trying to branch on (* x y) from (# #) 0.693 * * * * [regimes]: Trying to branch on (/ (* x y) z) from (# # # # # #) 0.730 * * * * [regimes]: Trying to branch on z from (# # # # # #) 0.754 * * * * [regimes]: Trying to branch on y from (# # # # # #) 0.779 * * * * [regimes]: Trying to branch on x from (# # # # # #) 0.797 * * * [regime]: Found split indices: #