52.105 * [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 using # : (- (* (* x 3.0) y) z) 0.017 * [simplify]: Sending expressions to egg_math: (- (* (* h0 h1) h2) h3) 0.019 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 24 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 29 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 30 enodes (cost 3 ) 0.025 * * [simplify]: iteration 4 : 30 enodes (cost 3 ) 0.025 * [simplify]: Simplified to: (- (* (* x 3.0) y) z) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.072 * [approximate]: Taking taylor expansion of (* 3.0 (* x y)) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in y 0.072 * [taylor]: Taking taylor expansion of 3.0 in y 0.072 * [taylor]: Taking taylor expansion of (* x y) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.072 * [taylor]: Taking taylor expansion of 3.0 in x 0.072 * [taylor]: Taking taylor expansion of (* x y) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.073 * [taylor]: Taking taylor expansion of 3.0 in x 0.073 * [taylor]: Taking taylor expansion of (* x y) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.074 * [taylor]: Taking taylor expansion of 3.0 in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.079 * [taylor]: Taking taylor expansion of 3.0 in y 0.080 * [taylor]: Taking taylor expansion of (* x y) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.080 * [taylor]: Taking taylor expansion of 3.0 in x 0.080 * [taylor]: Taking taylor expansion of (* x y) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.080 * [taylor]: Taking taylor expansion of 3.0 in x 0.080 * [taylor]: Taking taylor expansion of (* x y) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.081 * [taylor]: Taking taylor expansion of 3.0 in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.085 * [taylor]: Taking taylor expansion of 3.0 in y 0.085 * [taylor]: Taking taylor expansion of (* x y) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.085 * [taylor]: Taking taylor expansion of 3.0 in x 0.085 * [taylor]: Taking taylor expansion of (* x y) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.086 * [taylor]: Taking taylor expansion of 3.0 in x 0.086 * [taylor]: Taking taylor expansion of (* x y) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.086 * [taylor]: Taking taylor expansion of 3.0 in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.090 * [approximate]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in (x y z) around 0 0.090 * [taylor]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in z 0.091 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in z 0.091 * [taylor]: Taking taylor expansion of 3.0 in z 0.091 * [taylor]: Taking taylor expansion of (* x y) in z 0.091 * [taylor]: Taking taylor expansion of x in z 0.091 * [taylor]: Taking taylor expansion of y in z 0.091 * [taylor]: Taking taylor expansion of z in z 0.091 * [taylor]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in y 0.091 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in y 0.091 * [taylor]: Taking taylor expansion of 3.0 in y 0.091 * [taylor]: Taking taylor expansion of (* x y) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of z in y 0.091 * [taylor]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in x 0.091 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.091 * [taylor]: Taking taylor expansion of 3.0 in x 0.091 * [taylor]: Taking taylor expansion of (* x y) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of z in x 0.091 * [taylor]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in x 0.091 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.091 * [taylor]: Taking taylor expansion of 3.0 in x 0.091 * [taylor]: Taking taylor expansion of (* x y) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of z in x 0.091 * [taylor]: Taking taylor expansion of (- z) in y 0.091 * [taylor]: Taking taylor expansion of z in y 0.091 * [taylor]: Taking taylor expansion of (- z) in z 0.091 * [taylor]: Taking taylor expansion of z in z 0.092 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.092 * [taylor]: Taking taylor expansion of 3.0 in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 0 in z 0.093 * [taylor]: Taking taylor expansion of 0 in z 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [taylor]: Taking taylor expansion of 0 in z 0.095 * [taylor]: Taking taylor expansion of 3.0 in z 0.095 * [taylor]: Taking taylor expansion of 0 in z 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in z 0.097 * [taylor]: Taking taylor expansion of 0 in z 0.098 * [approximate]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in (x y z) around 0 0.098 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in z 0.098 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in z 0.098 * [taylor]: Taking taylor expansion of 3.0 in z 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.098 * [taylor]: Taking taylor expansion of (* x y) in z 0.098 * [taylor]: Taking taylor expansion of x in z 0.098 * [taylor]: Taking taylor expansion of y in z 0.098 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.098 * [taylor]: Taking taylor expansion of z in z 0.098 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in y 0.098 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in y 0.098 * [taylor]: Taking taylor expansion of 3.0 in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.098 * [taylor]: Taking taylor expansion of (* x y) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.099 * [taylor]: Taking taylor expansion of z in y 0.099 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in x 0.099 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in x 0.099 * [taylor]: Taking taylor expansion of 3.0 in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.099 * [taylor]: Taking taylor expansion of (* x y) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.099 * [taylor]: Taking taylor expansion of z in x 0.099 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in x 0.099 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in x 0.099 * [taylor]: Taking taylor expansion of 3.0 in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.099 * [taylor]: Taking taylor expansion of (* x y) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.100 * [taylor]: Taking taylor expansion of z in x 0.100 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 y)) in y 0.100 * [taylor]: Taking taylor expansion of 3.0 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of 3.0 in z 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.101 * [taylor]: Taking taylor expansion of z in y 0.102 * [taylor]: Taking taylor expansion of 0 in z 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in z 0.104 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.104 * [taylor]: Taking taylor expansion of z in z 0.105 * [taylor]: Taking taylor expansion of 0 in z 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of 0 in z 0.108 * [taylor]: Taking taylor expansion of 0 in z 0.109 * [taylor]: Taking taylor expansion of 0 in z 0.110 * [approximate]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in (x y z) around 0 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in z 0.110 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.110 * [taylor]: Taking taylor expansion of z in z 0.110 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in z 0.110 * [taylor]: Taking taylor expansion of 3.0 in z 0.110 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.110 * [taylor]: Taking taylor expansion of (* x y) in z 0.110 * [taylor]: Taking taylor expansion of x in z 0.110 * [taylor]: Taking taylor expansion of y in z 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.110 * [taylor]: Taking taylor expansion of z in y 0.110 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in y 0.110 * [taylor]: Taking taylor expansion of 3.0 in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.111 * [taylor]: Taking taylor expansion of (* x y) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.111 * [taylor]: Taking taylor expansion of z in x 0.111 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in x 0.111 * [taylor]: Taking taylor expansion of 3.0 in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.111 * [taylor]: Taking taylor expansion of (* x y) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.111 * [taylor]: Taking taylor expansion of z in x 0.111 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in x 0.111 * [taylor]: Taking taylor expansion of 3.0 in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.111 * [taylor]: Taking taylor expansion of (* x y) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 y)) in y 0.112 * [taylor]: Taking taylor expansion of 3.0 in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of 3.0 in z 0.113 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.113 * [taylor]: Taking taylor expansion of z in y 0.114 * [taylor]: Taking taylor expansion of 0 in z 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.116 * [taylor]: Taking taylor expansion of z in z 0.117 * [taylor]: Taking taylor expansion of 0 in z 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in z 0.119 * [taylor]: Taking taylor expansion of 0 in z 0.120 * [taylor]: Taking taylor expansion of 0 in z 0.121 * * * [progress]: simplifying candidates 0.121 * [simplify]: Simplifying using # : (expm1 (* (* x 3.0) y)) (log1p (* (* x 3.0) y)) (* (* x 3.0) y) (* (* x 3.0) y) (+ (+ (log x) (log 3.0)) (log y)) (+ (log (* x 3.0)) (log y)) (log (* (* x 3.0) y)) (exp (* (* x 3.0) y)) (* (* (* (* x x) x) (* (* 3.0 3.0) 3.0)) (* (* y y) y)) (* (* (* (* x 3.0) (* x 3.0)) (* x 3.0)) (* (* y y) y)) (* (cbrt (* (* x 3.0) y)) (cbrt (* (* x 3.0) y))) (cbrt (* (* x 3.0) y)) (* (* (* (* x 3.0) y) (* (* x 3.0) y)) (* (* x 3.0) y)) (sqrt (* (* x 3.0) y)) (sqrt (* (* x 3.0) y)) (* (* x 3.0) (* (cbrt y) (cbrt y))) (* (* x 3.0) (sqrt y)) (* (* x 3.0) 1) (* 3.0 y) (fma (* x 3.0) y (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z)))) (fma (* x 3.0) y (- (* (sqrt z) (sqrt z)))) (fma (- (sqrt z)) (sqrt z) (* (sqrt z) (sqrt z))) (fma (* x 3.0) y (- (* z 1))) (fma (- z) 1 (* z 1)) (expm1 (- (* (* x 3.0) y) z)) (log1p (- (* (* x 3.0) y) z)) (- z) (/ (exp (* (* x 3.0) y)) (exp z)) (log (- (* (* x 3.0) y) z)) (exp (- (* (* x 3.0) y) z)) (* (cbrt (- (* (* x 3.0) y) z)) (cbrt (- (* (* x 3.0) y) z))) (cbrt (- (* (* x 3.0) y) z)) (* (* (- (* (* x 3.0) y) z) (- (* (* x 3.0) y) z)) (- (* (* x 3.0) y) z)) (sqrt (- (* (* x 3.0) y) z)) (sqrt (- (* (* x 3.0) y) z)) (- (pow (* (* x 3.0) y) 3) (pow z 3)) (+ (* (* (* x 3.0) y) (* (* x 3.0) y)) (+ (* z z) (* (* (* x 3.0) y) z))) (- z) (- (* (* (* x 3.0) y) (* (* x 3.0) y)) (* z z)) (+ (* (* x 3.0) y) z) (- z) (* 3.0 (* x y)) (* 3.0 (* x y)) (* 3.0 (* x y)) (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z) 0.121 * [simplify]: Sending expressions to egg_math: (expm1 (* (* h0 h1) h2)) (log1p (* (* h0 h1) h2)) (* (* h0 h1) h2) (* (* h0 h1) h2) (+ (+ (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) (* (cbrt h2) (cbrt h2))) (* (* h0 h1) (sqrt h2)) (* (* h0 h1) 1) (* h1 h2) (fma (* h0 h1) h2 (- (* (cbrt h3) (* (cbrt h3) (cbrt h3))))) (fma (- (cbrt h3)) (* (cbrt h3) (cbrt h3)) (* (cbrt h3) (* (cbrt h3) (cbrt h3)))) (fma (* h0 h1) h2 (- (* (sqrt h3) (sqrt h3)))) (fma (- (sqrt h3)) (sqrt h3) (* (sqrt h3) (sqrt h3))) (fma (* h0 h1) h2 (- (* h3 1))) (fma (- h3) 1 (* h3 1)) (expm1 (- (* (* h0 h1) h2) h3)) (log1p (- (* (* h0 h1) h2) h3)) (- h3) (/ (exp (* (* h0 h1) h2)) (exp h3)) (log (- (* (* h0 h1) h2) h3)) (exp (- (* (* h0 h1) h2) h3)) (* (cbrt (- (* (* h0 h1) h2) h3)) (cbrt (- (* (* h0 h1) h2) h3))) (cbrt (- (* (* h0 h1) h2) h3)) (* (* (- (* (* h0 h1) h2) h3) (- (* (* h0 h1) h2) h3)) (- (* (* h0 h1) h2) h3)) (sqrt (- (* (* h0 h1) h2) h3)) (sqrt (- (* (* h0 h1) h2) h3)) (- (pow (* (* h0 h1) h2) 3) (pow h3 3)) (+ (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (+ (* h3 h3) (* (* (* h0 h1) h2) h3))) (- h3) (- (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* h3 h3)) (+ (* (* h0 h1) h2) h3) (- h3) (* h1 (* h0 h2)) (* h1 (* h0 h2)) (* h1 (* h0 h2)) (- (* h1 (* h0 h2)) h3) (- (* h1 (* h0 h2)) h3) (- (* h1 (* h0 h2)) h3) 0.125 * * [simplify]: iteration 0 : 196 enodes (cost 190 ) 0.130 * * [simplify]: iteration 1 : 873 enodes (cost 156 ) 0.153 * * [simplify]: iteration 2 : 4491 enodes (cost 152 ) 0.235 * * [simplify]: iteration 3 : 5001 enodes (cost 151 ) 0.236 * [simplify]: Simplified to: (expm1 (* (* x 3.0) y)) (log1p (* (* x 3.0) y)) (* 3.0 (* x y)) (* 3.0 (* x y)) (log (* (* x 3.0) y)) (log (* (* x 3.0) y)) (log (* (* x 3.0) y)) (exp (* (* x 3.0) y)) (pow (* (* x 3.0) y) 3) (pow (* (* x 3.0) y) 3) (* (cbrt (* (* x 3.0) y)) (cbrt (* (* x 3.0) y))) (cbrt (* (* x 3.0) y)) (pow (* (* x 3.0) y) 3) (sqrt (* (* x 3.0) y)) (sqrt (* (* x 3.0) y)) (* (* x 3.0) (* (cbrt y) (cbrt y))) (* (* x 3.0) (sqrt y)) (* x 3.0) (* 3.0 y) (- (* (* x 3.0) y) z) (- z z) (- (* (* x 3.0) y) z) (- z z) (- (* (* x 3.0) y) z) (- z z) (expm1 (- (* (* x 3.0) y) z)) (log1p (- (* (* x 3.0) y) z)) (- z) (exp (- (* (* x 3.0) y) z)) (log (- (* (* x 3.0) y) z)) (exp (- (* (* x 3.0) y) z)) (* (cbrt (- (* (* x 3.0) y) z)) (cbrt (- (* (* x 3.0) y) z))) (cbrt (- (* (* x 3.0) y) z)) (pow (- (* (* x 3.0) y) z) 3) (sqrt (- (* (* x 3.0) y) z)) (sqrt (- (* (* x 3.0) y) z)) (- (pow (* (* x 3.0) y) 3) (pow z 3)) (fma (* 3.0 (* x y)) (fma (* x 3.0) y z) (* z z)) (- z) (* (fma (* x 3.0) y z) (- (* (* x 3.0) y) z)) (fma (* x 3.0) y z) (- z) (* 3.0 (* x y)) (* 3.0 (* x y)) (* 3.0 (* x y)) (- (* (* x 3.0) y) z) (- (* (* x 3.0) y) z) (- (* (* x 3.0) y) z) 0.236 * * * [progress]: adding candidates to table 0.305 * * [progress]: iteration 2 / 4 0.305 * * * [progress]: picking best candidate 0.311 * * * * [pick]: Picked # 0.311 * * * [progress]: localizing error 0.317 * * * [progress]: generating rewritten candidates 0.317 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.317 * * * [progress]: generating series expansions 0.317 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.317 * [approximate]: Taking taylor expansion of (fma (* 3.0 x) y (- z)) in (x y z) around 0 0.317 * [taylor]: Taking taylor expansion of (fma (* 3.0 x) y (- z)) in z 0.317 * [taylor]: Rewrote expression to (+ (* (* 3.0 x) y) (- z)) 0.317 * [taylor]: Taking taylor expansion of (* (* 3.0 x) y) in z 0.317 * [taylor]: Taking taylor expansion of (* 3.0 x) in z 0.317 * [taylor]: Taking taylor expansion of 3.0 in z 0.317 * [taylor]: Taking taylor expansion of x in z 0.317 * [taylor]: Taking taylor expansion of y in z 0.318 * [taylor]: Taking taylor expansion of (- z) in z 0.318 * [taylor]: Taking taylor expansion of z in z 0.318 * [taylor]: Taking taylor expansion of (fma (* 3.0 x) y (- z)) in y 0.318 * [taylor]: Rewrote expression to (+ (* (* 3.0 x) y) (- z)) 0.318 * [taylor]: Taking taylor expansion of (* (* 3.0 x) y) in y 0.318 * [taylor]: Taking taylor expansion of (* 3.0 x) in y 0.318 * [taylor]: Taking taylor expansion of 3.0 in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (- z) in y 0.318 * [taylor]: Taking taylor expansion of z in y 0.318 * [taylor]: Taking taylor expansion of (fma (* 3.0 x) y (- z)) in x 0.318 * [taylor]: Rewrote expression to (+ (* (* 3.0 x) y) (- z)) 0.318 * [taylor]: Taking taylor expansion of (* (* 3.0 x) y) in x 0.318 * [taylor]: Taking taylor expansion of (* 3.0 x) in x 0.318 * [taylor]: Taking taylor expansion of 3.0 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (- z) in x 0.318 * [taylor]: Taking taylor expansion of z in x 0.318 * [taylor]: Taking taylor expansion of (fma (* 3.0 x) y (- z)) in x 0.318 * [taylor]: Rewrote expression to (+ (* (* 3.0 x) y) (- z)) 0.318 * [taylor]: Taking taylor expansion of (* (* 3.0 x) y) in x 0.318 * [taylor]: Taking taylor expansion of (* 3.0 x) in x 0.318 * [taylor]: Taking taylor expansion of 3.0 in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (- z) in x 0.318 * [taylor]: Taking taylor expansion of z in x 0.319 * [taylor]: Taking taylor expansion of (- z) in y 0.319 * [taylor]: Taking taylor expansion of z in y 0.319 * [taylor]: Taking taylor expansion of (- z) in z 0.319 * [taylor]: Taking taylor expansion of z in z 0.320 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.320 * [taylor]: Taking taylor expansion of 3.0 in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of 0 in z 0.321 * [taylor]: Taking taylor expansion of 0 in z 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [taylor]: Taking taylor expansion of 0 in z 0.323 * [taylor]: Taking taylor expansion of 3.0 in z 0.323 * [taylor]: Taking taylor expansion of 0 in z 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [taylor]: Taking taylor expansion of 0 in z 0.325 * [taylor]: Taking taylor expansion of 0 in z 0.326 * [approximate]: Taking taylor expansion of (fma (/ 3.0 x) (/ 1 y) (- (/ 1 z))) in (x y z) around 0 0.326 * [taylor]: Taking taylor expansion of (fma (/ 3.0 x) (/ 1 y) (- (/ 1 z))) in z 0.326 * [taylor]: Rewrote expression to (+ (* (/ 3.0 x) (/ 1 y)) (- (/ 1 z))) 0.326 * [taylor]: Taking taylor expansion of (* (/ 3.0 x) (/ 1 y)) in z 0.326 * [taylor]: Taking taylor expansion of (/ 3.0 x) in z 0.326 * [taylor]: Taking taylor expansion of 3.0 in z 0.326 * [taylor]: Taking taylor expansion of x in z 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.326 * [taylor]: Taking taylor expansion of y in z 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in z 0.326 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.326 * [taylor]: Taking taylor expansion of z in z 0.326 * [taylor]: Taking taylor expansion of (fma (/ 3.0 x) (/ 1 y) (- (/ 1 z))) in y 0.326 * [taylor]: Rewrote expression to (+ (* (/ 3.0 x) (/ 1 y)) (- (/ 1 z))) 0.326 * [taylor]: Taking taylor expansion of (* (/ 3.0 x) (/ 1 y)) in y 0.326 * [taylor]: Taking taylor expansion of (/ 3.0 x) in y 0.326 * [taylor]: Taking taylor expansion of 3.0 in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.327 * [taylor]: Taking taylor expansion of z in y 0.327 * [taylor]: Taking taylor expansion of (fma (/ 3.0 x) (/ 1 y) (- (/ 1 z))) in x 0.327 * [taylor]: Rewrote expression to (+ (* (/ 3.0 x) (/ 1 y)) (- (/ 1 z))) 0.327 * [taylor]: Taking taylor expansion of (* (/ 3.0 x) (/ 1 y)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 3.0 x) in x 0.327 * [taylor]: Taking taylor expansion of 3.0 in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.327 * [taylor]: Taking taylor expansion of z in x 0.327 * [taylor]: Taking taylor expansion of (fma (/ 3.0 x) (/ 1 y) (- (/ 1 z))) in x 0.327 * [taylor]: Rewrote expression to (+ (* (/ 3.0 x) (/ 1 y)) (- (/ 1 z))) 0.327 * [taylor]: Taking taylor expansion of (* (/ 3.0 x) (/ 1 y)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 3.0 x) in x 0.327 * [taylor]: Taking taylor expansion of 3.0 in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.328 * [taylor]: Taking taylor expansion of z in x 0.328 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 y)) in y 0.328 * [taylor]: Taking taylor expansion of 3.0 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 3.0 in z 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.329 * [taylor]: Taking taylor expansion of z in y 0.330 * [taylor]: Taking taylor expansion of 0 in z 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in z 0.332 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.332 * [taylor]: Taking taylor expansion of z in z 0.333 * [taylor]: Taking taylor expansion of 0 in z 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of 0 in z 0.335 * [taylor]: Taking taylor expansion of 0 in z 0.336 * [taylor]: Taking taylor expansion of 0 in z 0.337 * [approximate]: Taking taylor expansion of (fma (/ -3.0 x) (/ -1 y) (/ 1 z)) in (x y z) around 0 0.337 * [taylor]: Taking taylor expansion of (fma (/ -3.0 x) (/ -1 y) (/ 1 z)) in z 0.337 * [taylor]: Rewrote expression to (+ (* (/ -3.0 x) (/ -1 y)) (/ 1 z)) 0.337 * [taylor]: Taking taylor expansion of (* (/ -3.0 x) (/ -1 y)) in z 0.337 * [taylor]: Taking taylor expansion of (/ -3.0 x) in z 0.337 * [taylor]: Taking taylor expansion of -3.0 in z 0.337 * [taylor]: Taking taylor expansion of x in z 0.337 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.337 * [taylor]: Taking taylor expansion of -1 in z 0.337 * [taylor]: Taking taylor expansion of y in z 0.337 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.338 * [taylor]: Taking taylor expansion of z in z 0.338 * [taylor]: Taking taylor expansion of (fma (/ -3.0 x) (/ -1 y) (/ 1 z)) in y 0.338 * [taylor]: Rewrote expression to (+ (* (/ -3.0 x) (/ -1 y)) (/ 1 z)) 0.338 * [taylor]: Taking taylor expansion of (* (/ -3.0 x) (/ -1 y)) in y 0.338 * [taylor]: Taking taylor expansion of (/ -3.0 x) in y 0.338 * [taylor]: Taking taylor expansion of -3.0 in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.338 * [taylor]: Taking taylor expansion of -1 in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.338 * [taylor]: Taking taylor expansion of z in y 0.338 * [taylor]: Taking taylor expansion of (fma (/ -3.0 x) (/ -1 y) (/ 1 z)) in x 0.338 * [taylor]: Rewrote expression to (+ (* (/ -3.0 x) (/ -1 y)) (/ 1 z)) 0.338 * [taylor]: Taking taylor expansion of (* (/ -3.0 x) (/ -1 y)) in x 0.338 * [taylor]: Taking taylor expansion of (/ -3.0 x) in x 0.339 * [taylor]: Taking taylor expansion of -3.0 in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.339 * [taylor]: Taking taylor expansion of -1 in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.339 * [taylor]: Taking taylor expansion of z in x 0.339 * [taylor]: Taking taylor expansion of (fma (/ -3.0 x) (/ -1 y) (/ 1 z)) in x 0.339 * [taylor]: Rewrote expression to (+ (* (/ -3.0 x) (/ -1 y)) (/ 1 z)) 0.339 * [taylor]: Taking taylor expansion of (* (/ -3.0 x) (/ -1 y)) in x 0.339 * [taylor]: Taking taylor expansion of (/ -3.0 x) in x 0.339 * [taylor]: Taking taylor expansion of -3.0 in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.339 * [taylor]: Taking taylor expansion of -1 in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.339 * [taylor]: Taking taylor expansion of z in x 0.340 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 y)) in y 0.340 * [taylor]: Taking taylor expansion of 3.0 in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 3.0 in z 0.341 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.341 * [taylor]: Taking taylor expansion of z in y 0.342 * [taylor]: Taking taylor expansion of 0 in z 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.344 * [taylor]: Taking taylor expansion of z in z 0.345 * [taylor]: Taking taylor expansion of 0 in z 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in z 0.347 * [taylor]: Taking taylor expansion of 0 in z 0.348 * [taylor]: Taking taylor expansion of 0 in z 0.349 * * * [progress]: simplifying candidates 0.349 * [simplify]: Simplifying using # : (expm1 (fma (* x 3.0) y (- z))) (log1p (fma (* x 3.0) y (- z))) (* (* x 3.0) y) (log (fma (* x 3.0) y (- z))) (exp (fma (* x 3.0) y (- z))) (* (cbrt (fma (* x 3.0) y (- z))) (cbrt (fma (* x 3.0) y (- z)))) (cbrt (fma (* x 3.0) y (- z))) (* (* (fma (* x 3.0) y (- z)) (fma (* x 3.0) y (- z))) (fma (* x 3.0) y (- z))) (sqrt (fma (* x 3.0) y (- z))) (sqrt (fma (* x 3.0) y (- z))) (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z) 0.349 * [simplify]: Sending expressions to egg_math: (expm1 (fma (* h0 h1) h2 (- h3))) (log1p (fma (* h0 h1) h2 (- h3))) (* (* h0 h1) h2) (log (fma (* h0 h1) h2 (- h3))) (exp (fma (* h0 h1) h2 (- h3))) (* (cbrt (fma (* h0 h1) h2 (- h3))) (cbrt (fma (* h0 h1) h2 (- h3)))) (cbrt (fma (* h0 h1) h2 (- h3))) (* (* (fma (* h0 h1) h2 (- h3)) (fma (* h0 h1) h2 (- h3))) (fma (* h0 h1) h2 (- h3))) (sqrt (fma (* h0 h1) h2 (- h3))) (sqrt (fma (* h0 h1) h2 (- h3))) (- (* h1 (* h0 h2)) h3) (- (* h1 (* h0 h2)) h3) (- (* h1 (* h0 h2)) h3) 0.352 * * [simplify]: iteration 0 : 31 enodes (cost 59 ) 0.353 * * [simplify]: iteration 1 : 63 enodes (cost 52 ) 0.355 * * [simplify]: iteration 2 : 196 enodes (cost 52 ) 0.359 * * [simplify]: iteration 3 : 788 enodes (cost 52 ) 0.381 * * [simplify]: iteration 4 : 4409 enodes (cost 52 ) 0.475 * * [simplify]: iteration 5 : 5001 enodes (cost 52 ) 0.476 * [simplify]: Simplified to: (expm1 (fma (* x 3.0) y (- z))) (log1p (fma (* x 3.0) y (- z))) (* 3.0 (* x y)) (log (fma (* x 3.0) y (- z))) (exp (fma (* x 3.0) y (- z))) (* (cbrt (fma (* x 3.0) y (- z))) (cbrt (fma (* x 3.0) y (- z)))) (cbrt (fma (* x 3.0) y (- z))) (pow (- (* 3.0 (* x y)) z) 3) (sqrt (fma (* x 3.0) y (- z))) (sqrt (fma (* x 3.0) y (- z))) (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z) 0.476 * * * [progress]: adding candidates to table 0.504 * * [progress]: iteration 3 / 4 0.504 * * * [progress]: picking best candidate 0.508 * * * * [pick]: Picked # 0.508 * * * [progress]: localizing error 0.513 * * * [progress]: generating rewritten candidates 0.513 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.529 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.548 * * * [progress]: generating series expansions 0.548 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.548 * [approximate]: Taking taylor expansion of (* 3.0 (* x y)) in (x y) around 0 0.548 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in y 0.548 * [taylor]: Taking taylor expansion of 3.0 in y 0.548 * [taylor]: Taking taylor expansion of (* x y) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.549 * [taylor]: Taking taylor expansion of 3.0 in x 0.549 * [taylor]: Taking taylor expansion of (* x y) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.549 * [taylor]: Taking taylor expansion of 3.0 in x 0.549 * [taylor]: Taking taylor expansion of (* x y) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.552 * [taylor]: Taking taylor expansion of 3.0 in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.558 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.558 * [taylor]: Taking taylor expansion of 3.0 in y 0.558 * [taylor]: Taking taylor expansion of (* x y) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.558 * [taylor]: Taking taylor expansion of 3.0 in x 0.558 * [taylor]: Taking taylor expansion of (* x y) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.558 * [taylor]: Taking taylor expansion of 3.0 in x 0.558 * [taylor]: Taking taylor expansion of (* x y) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.559 * [taylor]: Taking taylor expansion of 3.0 in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.563 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.563 * [taylor]: Taking taylor expansion of 3.0 in y 0.563 * [taylor]: Taking taylor expansion of (* x y) in y 0.563 * [taylor]: Taking taylor expansion of x in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.563 * [taylor]: Taking taylor expansion of 3.0 in x 0.563 * [taylor]: Taking taylor expansion of (* x y) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.564 * [taylor]: Taking taylor expansion of 3.0 in x 0.564 * [taylor]: Taking taylor expansion of (* x y) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.564 * [taylor]: Taking taylor expansion of 3.0 in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.568 * [taylor]: Taking taylor expansion of 0 in y 0.568 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.568 * [approximate]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in (x y z) around 0 0.568 * [taylor]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in z 0.568 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in z 0.568 * [taylor]: Taking taylor expansion of 3.0 in z 0.568 * [taylor]: Taking taylor expansion of (* x y) in z 0.568 * [taylor]: Taking taylor expansion of x in z 0.568 * [taylor]: Taking taylor expansion of y in z 0.568 * [taylor]: Taking taylor expansion of z in z 0.568 * [taylor]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in y 0.568 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in y 0.568 * [taylor]: Taking taylor expansion of 3.0 in y 0.569 * [taylor]: Taking taylor expansion of (* x y) in y 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of z in y 0.569 * [taylor]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in x 0.569 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.569 * [taylor]: Taking taylor expansion of 3.0 in x 0.569 * [taylor]: Taking taylor expansion of (* x y) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of z in x 0.569 * [taylor]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in x 0.569 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.569 * [taylor]: Taking taylor expansion of 3.0 in x 0.569 * [taylor]: Taking taylor expansion of (* x y) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of z in x 0.569 * [taylor]: Taking taylor expansion of (- z) in y 0.569 * [taylor]: Taking taylor expansion of z in y 0.569 * [taylor]: Taking taylor expansion of (- z) in z 0.569 * [taylor]: Taking taylor expansion of z in z 0.570 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.570 * [taylor]: Taking taylor expansion of 3.0 in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of 0 in z 0.571 * [taylor]: Taking taylor expansion of 0 in z 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [taylor]: Taking taylor expansion of 0 in z 0.573 * [taylor]: Taking taylor expansion of 3.0 in z 0.573 * [taylor]: Taking taylor expansion of 0 in z 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.575 * [taylor]: Taking taylor expansion of 0 in z 0.575 * [taylor]: Taking taylor expansion of 0 in z 0.576 * [approximate]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in (x y z) around 0 0.576 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in z 0.576 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in z 0.576 * [taylor]: Taking taylor expansion of 3.0 in z 0.576 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.576 * [taylor]: Taking taylor expansion of (* x y) in z 0.576 * [taylor]: Taking taylor expansion of x in z 0.576 * [taylor]: Taking taylor expansion of y in z 0.576 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.576 * [taylor]: Taking taylor expansion of z in z 0.576 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in y 0.576 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in y 0.576 * [taylor]: Taking taylor expansion of 3.0 in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.576 * [taylor]: Taking taylor expansion of (* x y) in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.577 * [taylor]: Taking taylor expansion of z in y 0.577 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in x 0.577 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in x 0.577 * [taylor]: Taking taylor expansion of 3.0 in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.577 * [taylor]: Taking taylor expansion of (* x y) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.577 * [taylor]: Taking taylor expansion of z in x 0.577 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in x 0.577 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in x 0.577 * [taylor]: Taking taylor expansion of 3.0 in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.577 * [taylor]: Taking taylor expansion of (* x y) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.577 * [taylor]: Taking taylor expansion of z in x 0.578 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 y)) in y 0.578 * [taylor]: Taking taylor expansion of 3.0 in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of 3.0 in z 0.579 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.579 * [taylor]: Taking taylor expansion of z in y 0.580 * [taylor]: Taking taylor expansion of 0 in z 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in z 0.581 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.581 * [taylor]: Taking taylor expansion of z in z 0.583 * [taylor]: Taking taylor expansion of 0 in z 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [taylor]: Taking taylor expansion of 0 in z 0.585 * [taylor]: Taking taylor expansion of 0 in z 0.586 * [taylor]: Taking taylor expansion of 0 in z 0.587 * [approximate]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in (x y z) around 0 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in z 0.587 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.587 * [taylor]: Taking taylor expansion of z in z 0.588 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in z 0.588 * [taylor]: Taking taylor expansion of 3.0 in z 0.588 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.588 * [taylor]: Taking taylor expansion of (* x y) in z 0.588 * [taylor]: Taking taylor expansion of x in z 0.588 * [taylor]: Taking taylor expansion of y in z 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.588 * [taylor]: Taking taylor expansion of z in y 0.588 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in y 0.588 * [taylor]: Taking taylor expansion of 3.0 in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.588 * [taylor]: Taking taylor expansion of (* x y) in y 0.588 * [taylor]: Taking taylor expansion of x in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.588 * [taylor]: Taking taylor expansion of z in x 0.588 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in x 0.588 * [taylor]: Taking taylor expansion of 3.0 in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.588 * [taylor]: Taking taylor expansion of (* x y) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.589 * [taylor]: Taking taylor expansion of z in x 0.589 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in x 0.589 * [taylor]: Taking taylor expansion of 3.0 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.589 * [taylor]: Taking taylor expansion of (* x y) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 y)) in y 0.589 * [taylor]: Taking taylor expansion of 3.0 in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of 3.0 in z 0.590 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.590 * [taylor]: Taking taylor expansion of z in y 0.591 * [taylor]: Taking taylor expansion of 0 in z 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.593 * [taylor]: Taking taylor expansion of z in z 0.594 * [taylor]: Taking taylor expansion of 0 in z 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [taylor]: Taking taylor expansion of 0 in z 0.596 * [taylor]: Taking taylor expansion of 0 in z 0.597 * [taylor]: Taking taylor expansion of 0 in z 0.598 * * * [progress]: simplifying candidates 0.598 * [simplify]: Simplifying using # : (expm1 (* x (* 3.0 y))) (log1p (* x (* 3.0 y))) (* x (* 3.0 y)) (* x (* 3.0 y)) (+ (log x) (+ (log 3.0) (log y))) (+ (log x) (log (* 3.0 y))) (log (* x (* 3.0 y))) (exp (* x (* 3.0 y))) (* (* (* x x) x) (* (* (* 3.0 3.0) 3.0) (* (* y y) y))) (* (* (* x x) x) (* (* (* 3.0 y) (* 3.0 y)) (* 3.0 y))) (* (cbrt (* x (* 3.0 y))) (cbrt (* x (* 3.0 y)))) (cbrt (* x (* 3.0 y))) (* (* (* x (* 3.0 y)) (* x (* 3.0 y))) (* x (* 3.0 y))) (sqrt (* x (* 3.0 y))) (sqrt (* x (* 3.0 y))) (* x 3.0) (* (cbrt x) (* 3.0 y)) (* (sqrt x) (* 3.0 y)) (* x (* 3.0 y)) (fma x (* 3.0 y) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z)))) (fma x (* 3.0 y) (- (* (sqrt z) (sqrt z)))) (fma (- (sqrt z)) (sqrt z) (* (sqrt z) (sqrt z))) (fma x (* 3.0 y) (- (* z 1))) (fma (- z) 1 (* z 1)) (expm1 (- (* x (* 3.0 y)) z)) (log1p (- (* x (* 3.0 y)) z)) (- z) (/ (exp (* x (* 3.0 y))) (exp z)) (log (- (* x (* 3.0 y)) z)) (exp (- (* x (* 3.0 y)) z)) (* (cbrt (- (* x (* 3.0 y)) z)) (cbrt (- (* x (* 3.0 y)) z))) (cbrt (- (* x (* 3.0 y)) z)) (* (* (- (* x (* 3.0 y)) z) (- (* x (* 3.0 y)) z)) (- (* x (* 3.0 y)) z)) (sqrt (- (* x (* 3.0 y)) z)) (sqrt (- (* x (* 3.0 y)) z)) (- (pow (* x (* 3.0 y)) 3) (pow z 3)) (+ (* (* x (* 3.0 y)) (* x (* 3.0 y))) (+ (* z z) (* (* x (* 3.0 y)) z))) (- z) (- (* (* x (* 3.0 y)) (* x (* 3.0 y))) (* z z)) (+ (* x (* 3.0 y)) z) (- z) (* 3.0 (* x y)) (* 3.0 (* x y)) (* 3.0 (* x y)) (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z) 0.599 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (* h1 h2))) (log1p (* h0 (* h1 h2))) (* h0 (* h1 h2)) (* h0 (* h1 h2)) (+ (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) (* (cbrt h0) (* h1 h2)) (* (sqrt h0) (* h1 h2)) (* h0 (* h1 h2)) (fma h0 (* h1 h2) (- (* (cbrt h3) (* (cbrt h3) (cbrt h3))))) (fma (- (cbrt h3)) (* (cbrt h3) (cbrt h3)) (* (cbrt h3) (* (cbrt h3) (cbrt h3)))) (fma h0 (* h1 h2) (- (* (sqrt h3) (sqrt h3)))) (fma (- (sqrt h3)) (sqrt h3) (* (sqrt h3) (sqrt h3))) (fma h0 (* h1 h2) (- (* h3 1))) (fma (- h3) 1 (* h3 1)) (expm1 (- (* h0 (* h1 h2)) h3)) (log1p (- (* h0 (* h1 h2)) h3)) (- h3) (/ (exp (* h0 (* h1 h2))) (exp h3)) (log (- (* h0 (* h1 h2)) h3)) (exp (- (* h0 (* h1 h2)) h3)) (* (cbrt (- (* h0 (* h1 h2)) h3)) (cbrt (- (* h0 (* h1 h2)) h3))) (cbrt (- (* h0 (* h1 h2)) h3)) (* (* (- (* h0 (* h1 h2)) h3) (- (* h0 (* h1 h2)) h3)) (- (* h0 (* h1 h2)) h3)) (sqrt (- (* h0 (* h1 h2)) h3)) (sqrt (- (* h0 (* h1 h2)) h3)) (- (pow (* h0 (* h1 h2)) 3) (pow h3 3)) (+ (* (* h0 (* h1 h2)) (* h0 (* h1 h2))) (+ (* h3 h3) (* (* h0 (* h1 h2)) h3))) (- h3) (- (* (* h0 (* h1 h2)) (* h0 (* h1 h2))) (* h3 h3)) (+ (* h0 (* h1 h2)) h3) (- h3) (* h1 (* h0 h2)) (* h1 (* h0 h2)) (* h1 (* h0 h2)) (- (* h1 (* h0 h2)) h3) (- (* h1 (* h0 h2)) h3) (- (* h1 (* h0 h2)) h3) 0.602 * * [simplify]: iteration 0 : 189 enodes (cost 189 ) 0.606 * * [simplify]: iteration 1 : 717 enodes (cost 155 ) 0.624 * * [simplify]: iteration 2 : 3377 enodes (cost 151 ) 0.694 * * [simplify]: iteration 3 : 5002 enodes (cost 147 ) 0.696 * [simplify]: Simplified to: (expm1 (* x (* 3.0 y))) (log1p (* x (* 3.0 y))) (* 3.0 (* x y)) (* 3.0 (* x y)) (log (* x (* 3.0 y))) (log (* x (* 3.0 y))) (log (* x (* 3.0 y))) (exp (* x (* 3.0 y))) (pow (* x (* 3.0 y)) 3) (pow (* x (* 3.0 y)) 3) (* (cbrt (* x (* 3.0 y))) (cbrt (* x (* 3.0 y)))) (cbrt (* x (* 3.0 y))) (pow (* x (* 3.0 y)) 3) (sqrt (* x (* 3.0 y))) (sqrt (* x (* 3.0 y))) (* x 3.0) (* (cbrt x) (* 3.0 y)) (* (sqrt x) (* 3.0 y)) (* 3.0 (* x y)) (- (* x (* 3.0 y)) z) 0 (- (* x (* 3.0 y)) z) 0 (- (* x (* 3.0 y)) z) 0 (expm1 (- (* x (* 3.0 y)) z)) (log1p (- (* x (* 3.0 y)) z)) (- z) (exp (- (* x (* 3.0 y)) z)) (log (- (* x (* 3.0 y)) z)) (exp (- (* x (* 3.0 y)) z)) (* (cbrt (- (* x (* 3.0 y)) z)) (cbrt (- (* x (* 3.0 y)) z))) (cbrt (- (* x (* 3.0 y)) z)) (pow (- (* x (* 3.0 y)) z) 3) (sqrt (- (* x (* 3.0 y)) z)) (sqrt (- (* x (* 3.0 y)) z)) (- (pow (* x (* 3.0 y)) 3) (pow z 3)) (fma (* 3.0 (* x y)) (fma x (* 3.0 y) z) (* z z)) (- z) (* (fma x (* 3.0 y) z) (- (* x (* 3.0 y)) z)) (fma x (* 3.0 y) z) (- z) (* 3.0 (* x y)) (* 3.0 (* x y)) (* 3.0 (* x y)) (- (* x (* 3.0 y)) z) (- (* x (* 3.0 y)) z) (- (* x (* 3.0 y)) z) 0.696 * * * [progress]: adding candidates to table 0.766 * * [progress]: iteration 4 / 4 0.766 * * * [progress]: picking best candidate 0.769 * * * * [pick]: Picked # 0.769 * * * [progress]: localizing error 0.774 * * * [progress]: generating rewritten candidates 0.774 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.789 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.809 * * * [progress]: generating series expansions 0.809 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.809 * [approximate]: Taking taylor expansion of (* 3.0 (* x y)) in (x y) around 0 0.809 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in y 0.809 * [taylor]: Taking taylor expansion of 3.0 in y 0.809 * [taylor]: Taking taylor expansion of (* x y) in y 0.809 * [taylor]: Taking taylor expansion of x in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.809 * [taylor]: Taking taylor expansion of 3.0 in x 0.809 * [taylor]: Taking taylor expansion of (* x y) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.809 * [taylor]: Taking taylor expansion of 3.0 in x 0.809 * [taylor]: Taking taylor expansion of (* x y) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.810 * [taylor]: Taking taylor expansion of 3.0 in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.816 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.816 * [taylor]: Taking taylor expansion of 3.0 in y 0.816 * [taylor]: Taking taylor expansion of (* x y) in y 0.816 * [taylor]: Taking taylor expansion of x in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.816 * [taylor]: Taking taylor expansion of 3.0 in x 0.816 * [taylor]: Taking taylor expansion of (* x y) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.817 * [taylor]: Taking taylor expansion of 3.0 in x 0.817 * [taylor]: Taking taylor expansion of (* x y) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.817 * [taylor]: Taking taylor expansion of 3.0 in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [taylor]: Taking taylor expansion of 0 in y 0.821 * [approximate]: Taking taylor expansion of (/ 3.0 (* x y)) in (x y) around 0 0.821 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in y 0.821 * [taylor]: Taking taylor expansion of 3.0 in y 0.821 * [taylor]: Taking taylor expansion of (* x y) in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.822 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.822 * [taylor]: Taking taylor expansion of 3.0 in x 0.822 * [taylor]: Taking taylor expansion of (* x y) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (/ 3.0 (* x y)) in x 0.822 * [taylor]: Taking taylor expansion of 3.0 in x 0.822 * [taylor]: Taking taylor expansion of (* x y) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of y in x 0.822 * [taylor]: Taking taylor expansion of (/ 3.0 y) in y 0.822 * [taylor]: Taking taylor expansion of 3.0 in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.824 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.827 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.827 * [approximate]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in (x y z) around 0 0.827 * [taylor]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in z 0.827 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in z 0.827 * [taylor]: Taking taylor expansion of 3.0 in z 0.829 * [taylor]: Taking taylor expansion of (* x y) in z 0.829 * [taylor]: Taking taylor expansion of x in z 0.829 * [taylor]: Taking taylor expansion of y in z 0.829 * [taylor]: Taking taylor expansion of z in z 0.829 * [taylor]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in y 0.829 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in y 0.829 * [taylor]: Taking taylor expansion of 3.0 in y 0.829 * [taylor]: Taking taylor expansion of (* x y) in y 0.829 * [taylor]: Taking taylor expansion of x in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.829 * [taylor]: Taking taylor expansion of z in y 0.829 * [taylor]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in x 0.829 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.829 * [taylor]: Taking taylor expansion of 3.0 in x 0.829 * [taylor]: Taking taylor expansion of (* x y) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of y in x 0.829 * [taylor]: Taking taylor expansion of z in x 0.829 * [taylor]: Taking taylor expansion of (- (* 3.0 (* x y)) z) in x 0.829 * [taylor]: Taking taylor expansion of (* 3.0 (* x y)) in x 0.829 * [taylor]: Taking taylor expansion of 3.0 in x 0.829 * [taylor]: Taking taylor expansion of (* x y) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of y in x 0.829 * [taylor]: Taking taylor expansion of z in x 0.830 * [taylor]: Taking taylor expansion of (- z) in y 0.830 * [taylor]: Taking taylor expansion of z in y 0.830 * [taylor]: Taking taylor expansion of (- z) in z 0.830 * [taylor]: Taking taylor expansion of z in z 0.831 * [taylor]: Taking taylor expansion of (* 3.0 y) in y 0.831 * [taylor]: Taking taylor expansion of 3.0 in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of 0 in z 0.831 * [taylor]: Taking taylor expansion of 0 in z 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [taylor]: Taking taylor expansion of 0 in z 0.834 * [taylor]: Taking taylor expansion of 3.0 in z 0.834 * [taylor]: Taking taylor expansion of 0 in z 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.836 * [taylor]: Taking taylor expansion of 0 in z 0.836 * [taylor]: Taking taylor expansion of 0 in z 0.836 * [approximate]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in (x y z) around 0 0.836 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in z 0.836 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in z 0.836 * [taylor]: Taking taylor expansion of 3.0 in z 0.836 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.836 * [taylor]: Taking taylor expansion of (* x y) in z 0.836 * [taylor]: Taking taylor expansion of x in z 0.836 * [taylor]: Taking taylor expansion of y in z 0.836 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.837 * [taylor]: Taking taylor expansion of z in z 0.837 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in y 0.837 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in y 0.837 * [taylor]: Taking taylor expansion of 3.0 in y 0.837 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.837 * [taylor]: Taking taylor expansion of (* x y) in y 0.837 * [taylor]: Taking taylor expansion of x in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.837 * [taylor]: Taking taylor expansion of z in y 0.837 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in x 0.837 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in x 0.837 * [taylor]: Taking taylor expansion of 3.0 in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.837 * [taylor]: Taking taylor expansion of (* x y) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.838 * [taylor]: Taking taylor expansion of z in x 0.838 * [taylor]: Taking taylor expansion of (- (* 3.0 (/ 1 (* x y))) (/ 1 z)) in x 0.838 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in x 0.838 * [taylor]: Taking taylor expansion of 3.0 in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.838 * [taylor]: Taking taylor expansion of (* x y) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.838 * [taylor]: Taking taylor expansion of z in x 0.838 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 y)) in y 0.838 * [taylor]: Taking taylor expansion of 3.0 in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of 3.0 in z 0.840 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.840 * [taylor]: Taking taylor expansion of z in y 0.840 * [taylor]: Taking taylor expansion of 0 in z 0.842 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [taylor]: Taking taylor expansion of (- (/ 1 z)) in z 0.842 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.842 * [taylor]: Taking taylor expansion of z in z 0.843 * [taylor]: Taking taylor expansion of 0 in z 0.846 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [taylor]: Taking taylor expansion of 0 in z 0.846 * [taylor]: Taking taylor expansion of 0 in z 0.847 * [taylor]: Taking taylor expansion of 0 in z 0.848 * [approximate]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in (x y z) around 0 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in z 0.848 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.848 * [taylor]: Taking taylor expansion of z in z 0.848 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in z 0.848 * [taylor]: Taking taylor expansion of 3.0 in z 0.848 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.849 * [taylor]: Taking taylor expansion of (* x y) in z 0.849 * [taylor]: Taking taylor expansion of x in z 0.849 * [taylor]: Taking taylor expansion of y in z 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.849 * [taylor]: Taking taylor expansion of z in y 0.849 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in y 0.849 * [taylor]: Taking taylor expansion of 3.0 in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.849 * [taylor]: Taking taylor expansion of (* x y) in y 0.849 * [taylor]: Taking taylor expansion of x in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.849 * [taylor]: Taking taylor expansion of z in x 0.849 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in x 0.849 * [taylor]: Taking taylor expansion of 3.0 in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.849 * [taylor]: Taking taylor expansion of (* x y) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 z) (* 3.0 (/ 1 (* x y)))) in x 0.850 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.850 * [taylor]: Taking taylor expansion of z in x 0.850 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 (* x y))) in x 0.850 * [taylor]: Taking taylor expansion of 3.0 in x 0.850 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.850 * [taylor]: Taking taylor expansion of (* x y) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of (* 3.0 (/ 1 y)) in y 0.850 * [taylor]: Taking taylor expansion of 3.0 in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of 3.0 in z 0.851 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.851 * [taylor]: Taking taylor expansion of z in y 0.852 * [taylor]: Taking taylor expansion of 0 in z 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.854 * [taylor]: Taking taylor expansion of z in z 0.855 * [taylor]: Taking taylor expansion of 0 in z 0.857 * [taylor]: Taking taylor expansion of 0 in y 0.857 * [taylor]: Taking taylor expansion of 0 in z 0.857 * [taylor]: Taking taylor expansion of 0 in z 0.858 * [taylor]: Taking taylor expansion of 0 in z 0.859 * * * [progress]: simplifying candidates 0.859 * [simplify]: Simplifying using # : (expm1 (* 3.0 (* x y))) (log1p (* 3.0 (* x y))) (* 3.0 (* x y)) (* 3.0 (* x y)) (+ (log 3.0) (+ (log x) (log y))) (+ (log 3.0) (log (* x y))) (log (* 3.0 (* x y))) (exp (* 3.0 (* x y))) (* (* (* 3.0 3.0) 3.0) (* (* (* x x) x) (* (* y y) y))) (* (* (* 3.0 3.0) 3.0) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* 3.0 (* x y))) (cbrt (* 3.0 (* x y)))) (cbrt (* 3.0 (* x y))) (* (* (* 3.0 (* x y)) (* 3.0 (* x y))) (* 3.0 (* x y))) (sqrt (* 3.0 (* x y))) (sqrt (* 3.0 (* x y))) (* 3.0 x) (* (cbrt 3.0) (* x y)) (* (sqrt 3.0) (* x y)) (* 3.0 (* x y)) (fma 3.0 (* x y) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z)))) (fma 3.0 (* x y) (- (* (sqrt z) (sqrt z)))) (fma (- (sqrt z)) (sqrt z) (* (sqrt z) (sqrt z))) (fma 3.0 (* x y) (- (* z 1))) (fma (- z) 1 (* z 1)) (expm1 (- (* 3.0 (* x y)) z)) (log1p (- (* 3.0 (* x y)) z)) (- z) (/ (exp (* 3.0 (* x y))) (exp z)) (log (- (* 3.0 (* x y)) z)) (exp (- (* 3.0 (* x y)) z)) (* (cbrt (- (* 3.0 (* x y)) z)) (cbrt (- (* 3.0 (* x y)) z))) (cbrt (- (* 3.0 (* x y)) z)) (* (* (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z)) (- (* 3.0 (* x y)) z)) (sqrt (- (* 3.0 (* x y)) z)) (sqrt (- (* 3.0 (* x y)) z)) (- (pow (* 3.0 (* x y)) 3) (pow z 3)) (+ (* (* 3.0 (* x y)) (* 3.0 (* x y))) (+ (* z z) (* (* 3.0 (* x y)) z))) (- z) (- (* (* 3.0 (* x y)) (* 3.0 (* x y))) (* z z)) (+ (* 3.0 (* x y)) z) (- z) (* 3.0 (* x y)) (* 3.0 (* x y)) (* 3.0 (* x y)) (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z) 0.859 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (* h1 h2))) (log1p (* h0 (* h1 h2))) (* h0 (* h1 h2)) (* h0 (* h1 h2)) (+ (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) (* (cbrt h0) (* h1 h2)) (* (sqrt h0) (* h1 h2)) (* h0 (* h1 h2)) (fma h0 (* h1 h2) (- (* (cbrt h3) (* (cbrt h3) (cbrt h3))))) (fma (- (cbrt h3)) (* (cbrt h3) (cbrt h3)) (* (cbrt h3) (* (cbrt h3) (cbrt h3)))) (fma h0 (* h1 h2) (- (* (sqrt h3) (sqrt h3)))) (fma (- (sqrt h3)) (sqrt h3) (* (sqrt h3) (sqrt h3))) (fma h0 (* h1 h2) (- (* h3 1))) (fma (- h3) 1 (* h3 1)) (expm1 (- (* h0 (* h1 h2)) h3)) (log1p (- (* h0 (* h1 h2)) h3)) (- h3) (/ (exp (* h0 (* h1 h2))) (exp h3)) (log (- (* h0 (* h1 h2)) h3)) (exp (- (* h0 (* h1 h2)) h3)) (* (cbrt (- (* h0 (* h1 h2)) h3)) (cbrt (- (* h0 (* h1 h2)) h3))) (cbrt (- (* h0 (* h1 h2)) h3)) (* (* (- (* h0 (* h1 h2)) h3) (- (* h0 (* h1 h2)) h3)) (- (* h0 (* h1 h2)) h3)) (sqrt (- (* h0 (* h1 h2)) h3)) (sqrt (- (* h0 (* h1 h2)) h3)) (- (pow (* h0 (* h1 h2)) 3) (pow h3 3)) (+ (* (* h0 (* h1 h2)) (* h0 (* h1 h2))) (+ (* h3 h3) (* (* h0 (* h1 h2)) h3))) (- h3) (- (* (* h0 (* h1 h2)) (* h0 (* h1 h2))) (* h3 h3)) (+ (* h0 (* h1 h2)) h3) (- h3) (* h0 (* h1 h2)) (* h0 (* h1 h2)) (* h0 (* h1 h2)) (- (* h0 (* h1 h2)) h3) (- (* h0 (* h1 h2)) h3) (- (* h0 (* h1 h2)) h3) 0.863 * * [simplify]: iteration 0 : 181 enodes (cost 189 ) 0.867 * * [simplify]: iteration 1 : 646 enodes (cost 155 ) 0.882 * * [simplify]: iteration 2 : 3037 enodes (cost 151 ) 0.949 * * [simplify]: iteration 3 : 5002 enodes (cost 147 ) 0.950 * [simplify]: Simplified to: (expm1 (* 3.0 (* x y))) (log1p (* 3.0 (* x y))) (* 3.0 (* x y)) (* 3.0 (* x y)) (log (* 3.0 (* x y))) (log (* 3.0 (* x y))) (log (* 3.0 (* x y))) (exp (* 3.0 (* x y))) (pow (* 3.0 (* x y)) 3) (pow (* 3.0 (* x y)) 3) (* (cbrt (* 3.0 (* x y))) (cbrt (* 3.0 (* x y)))) (cbrt (* 3.0 (* x y))) (pow (* 3.0 (* x y)) 3) (sqrt (* 3.0 (* x y))) (sqrt (* 3.0 (* x y))) (* 3.0 x) (* (cbrt 3.0) (* x y)) (* (sqrt 3.0) (* x y)) (* 3.0 (* x y)) (- (* 3.0 (* x y)) z) 0 (- (* 3.0 (* x y)) z) 0 (- (* 3.0 (* x y)) z) 0 (expm1 (- (* 3.0 (* x y)) z)) (log1p (- (* 3.0 (* x y)) z)) (- z) (exp (- (* 3.0 (* x y)) z)) (log (- (* 3.0 (* x y)) z)) (exp (- (* 3.0 (* x y)) z)) (* (cbrt (- (* 3.0 (* x y)) z)) (cbrt (- (* 3.0 (* x y)) z))) (cbrt (- (* 3.0 (* x y)) z)) (pow (- (* 3.0 (* x y)) z) 3) (sqrt (- (* 3.0 (* x y)) z)) (sqrt (- (* 3.0 (* x y)) z)) (- (pow (* 3.0 (* x y)) 3) (pow z 3)) (fma (* 3.0 (* x y)) (fma 3.0 (* x y) z) (* z z)) (- z) (* (fma 3.0 (* x y) z) (- (* 3.0 (* x y)) z)) (fma 3.0 (* x y) z) (- z) (* 3.0 (* x y)) (* 3.0 (* x y)) (* 3.0 (* x y)) (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z) (- (* 3.0 (* x y)) z) 0.950 * * * [progress]: adding candidates to table 1.017 * [progress]: [Phase 3 of 3] Extracting. 1.017 * * [regime]: Finding splitpoints for: (# # # # #) 1.018 * * * [regime-changes]: Trying 5 branch expressions: ((* x 3.0) (* (* x 3.0) y) z y x) 1.018 * * * * [regimes]: Trying to branch on (* x 3.0) from (# # # # #) 1.039 * * * * [regimes]: Trying to branch on (* (* x 3.0) y) from (# # # # #) 1.058 * * * * [regimes]: Trying to branch on z from (# # # # #) 1.078 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.096 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.116 * * * [regime]: Found split indices: #