30.872 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.033 * [simplify]: Sending expressions to egg_math: (sqrt (- h1 (* h0 h0))) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.053 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.053 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.053 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.053 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [backup-simplify]: Simplify 1.0 into 1.0 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.054 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.055 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.055 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [backup-simplify]: Simplify 1.0 into 1.0 0.055 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.056 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.056 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.056 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.057 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (- 1) into -1 0.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.061 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.062 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (- 0) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.074 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.077 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 0.077 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.077 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [backup-simplify]: Simplify 1.0 into 1.0 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (* 1 1) into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [backup-simplify]: Simplify (- 1) into -1 0.079 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.079 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [backup-simplify]: Simplify 1.0 into 1.0 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify (- 1) into -1 0.083 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.084 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.087 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.093 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.093 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.118 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.121 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.122 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.122 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [backup-simplify]: Simplify 1.0 into 1.0 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.123 * [backup-simplify]: Simplify (- 1) into -1 0.123 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.124 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify (- 1) into -1 0.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.128 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.131 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.137 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.137 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.151 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.154 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.154 * * * [progress]: simplifying candidates 0.155 * [simplify]: Simplifying: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.155 * [simplify]: Sending expressions to egg_math: (log (sqrt (- h1 (* h0 h0)))) (exp (sqrt (- h1 (* h0 h0)))) (* (cbrt (sqrt (- h1 (* h0 h0)))) (cbrt (sqrt (- h1 (* h0 h0))))) (cbrt (sqrt (- h1 (* h0 h0)))) (* (* (sqrt (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0)))) (sqrt (- h1 (* h0 h0)))) (sqrt (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0))))) (sqrt (cbrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt 1) (sqrt (- h1 (* h0 h0))) (sqrt (+ (sqrt h1) h0)) (sqrt (- (sqrt h1) h0)) (sqrt (- (pow h1 3) (pow (* h0 h0) 3))) (sqrt (+ (* h1 h1) (+ (* (* h0 h0) (* h0 h0)) (* h1 (* h0 h0))))) (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (sqrt (+ h1 (* h0 h0))) (/ 1 2) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (- (sqrt h1) (+ (* 1/8 (/ (pow h0 4) (pow (sqrt h1) 3))) (* 1/2 (/ (pow h0 2) (sqrt h1))))) (- (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1))) (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3))))) (- (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3)))) (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1)))) 0.207 * * * [progress]: adding candidates to table 0.279 * * [progress]: iteration 2 / 4 0.279 * * * [progress]: picking best candidate 0.283 * * * * [pick]: Picked # 0.283 * * * [progress]: localizing error 0.302 * * * [progress]: generating rewritten candidates 0.302 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 2) 0.347 * * * [progress]: generating series expansions 0.348 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 2) 0.348 * [backup-simplify]: Simplify (* 1/2 (/ (pow x 2) (sqrt 1.0))) into (* 1/2 (/ (pow x 2) (sqrt 1.0))) 0.348 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.348 * [taylor]: Taking taylor expansion of 1/2 in x 0.348 * [backup-simplify]: Simplify 1/2 into 1/2 0.348 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [backup-simplify]: Simplify 1.0 into 1.0 0.349 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 0.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.350 * [taylor]: Taking taylor expansion of 1/2 in x 0.350 * [backup-simplify]: Simplify 1/2 into 1/2 0.350 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) 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 (sqrt 1.0) in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [backup-simplify]: Simplify 1.0 into 1.0 0.351 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 0.353 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.353 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 1.0)))) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.357 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.361 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0)))))) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.365 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.367 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))))) into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.371 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0)))))))) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.375 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.377 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 1.0))))))))) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (* (/ 1/2 (sqrt 1.0)) (pow x 2)) into (* 1/2 (/ (pow x 2) (sqrt 1.0))) 0.380 * [backup-simplify]: Simplify (* 1/2 (/ (pow (/ 1 x) 2) (sqrt 1.0))) into (/ 1/2 (* (pow x 2) (sqrt 1.0))) 0.380 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 0.380 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.380 * [taylor]: Taking taylor expansion of 1/2 in x 0.380 * [backup-simplify]: Simplify 1/2 into 1/2 0.380 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.380 * [taylor]: Taking taylor expansion of 1.0 in x 0.380 * [backup-simplify]: Simplify 1.0 into 1.0 0.381 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.383 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.383 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.383 * [taylor]: Taking taylor expansion of 1/2 in x 0.383 * [backup-simplify]: Simplify 1/2 into 1/2 0.383 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [backup-simplify]: Simplify 1.0 into 1.0 0.384 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.386 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.386 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.387 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1.0))) into 0 0.390 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1/2 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 0.394 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1/2 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 0.397 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1/2 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))) into 0 0.400 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1/2 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))))) into 0 0.403 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1/2 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))))) into 0 0.407 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1/2 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (* (/ 1/2 (sqrt 1.0)) (pow (/ 1 (/ 1 x)) 2)) into (* 1/2 (/ (pow x 2) (sqrt 1.0))) 0.408 * [backup-simplify]: Simplify (* 1/2 (/ (pow (/ 1 (- x)) 2) (sqrt 1.0))) into (/ 1/2 (* (pow x 2) (sqrt 1.0))) 0.408 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 0.408 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.408 * [taylor]: Taking taylor expansion of 1/2 in x 0.408 * [backup-simplify]: Simplify 1/2 into 1/2 0.408 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [backup-simplify]: Simplify 1.0 into 1.0 0.409 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.410 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.410 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.410 * [taylor]: Taking taylor expansion of 1/2 in x 0.410 * [backup-simplify]: Simplify 1/2 into 1/2 0.410 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [backup-simplify]: Simplify 1.0 into 1.0 0.411 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.412 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.413 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.413 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1.0))) into 0 0.415 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1/2 (sqrt 1.0)) (/ 0 (sqrt 1.0))))) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1/2 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 0.420 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1/2 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1/2 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))))) into 0 0.427 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1/2 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0)))))))) into 0 0.431 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1/2 (sqrt 1.0)) (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))) (* 0 (/ 0 (sqrt 1.0))))) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (* (/ 1/2 (sqrt 1.0)) (pow (/ 1 (/ 1 (- x))) 2)) into (* 1/2 (/ (pow x 2) (sqrt 1.0))) 0.431 * * * [progress]: simplifying candidates 0.433 * [simplify]: Simplifying: (* 1/2 (/ (pow x 2) (sqrt 1.0))) (+ (log 1/2) (- (* (log x) 2) (log (sqrt 1.0)))) (+ (log 1/2) (- (* (log x) 2) (log (sqrt 1.0)))) (+ (log 1/2) (- (log (pow x 2)) (log (sqrt 1.0)))) (+ (log 1/2) (log (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow x 2) (sqrt 1.0)) (/ (pow x 2) (sqrt 1.0))) (/ (pow x 2) (sqrt 1.0)))) (* (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (* (cbrt (/ (pow x 2) (sqrt 1.0))) (cbrt (/ (pow x 2) (sqrt 1.0))))) (* 1/2 (sqrt (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt 1))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1)) (* 1/2 (/ (pow (sqrt x) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt 1))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (sqrt x) 2) 1)) (* 1/2 (/ (pow 1 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow 1 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow 1 2) (sqrt 1))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ x (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ x (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 (/ x (sqrt 1))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 (/ x 1)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt 1))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1)) (* 1/2 (/ (sqrt (pow x 2)) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt 1))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (sqrt (pow x 2)) 1)) (* 1/2 (/ 1 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ 1 (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ 1 (sqrt (sqrt 1.0)))) (* 1/2 (/ 1 (sqrt 1))) (* 1/2 (/ 1 (sqrt (sqrt 1.0)))) (* 1/2 (/ 1 1)) (* 1/2 (/ (pow x (/ 2 2)) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt 1))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow x (/ 2 2)) 1)) (* 1/2 1) (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* (sqrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (pow x 2)) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) 0.433 * [simplify]: Sending expressions to egg_math: (* 1/2 (/ (pow h1 2) (sqrt h0))) (+ (log 1/2) (- (* (log h1) 2) (log (sqrt h0)))) (+ (log 1/2) (- (* (log h1) 2) (log (sqrt h0)))) (+ (log 1/2) (- (log (pow h1 2)) (log (sqrt h0)))) (+ (log 1/2) (log (/ (pow h1 2) (sqrt h0)))) (log (* 1/2 (/ (pow h1 2) (sqrt h0)))) (exp (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow h1 2) (pow h1 2)) (pow h1 2)) (* (* (sqrt h0) (sqrt h0)) (sqrt h0)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow h1 2) (sqrt h0)) (/ (pow h1 2) (sqrt h0))) (/ (pow h1 2) (sqrt h0)))) (* (cbrt (* 1/2 (/ (pow h1 2) (sqrt h0)))) (cbrt (* 1/2 (/ (pow h1 2) (sqrt h0))))) (cbrt (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* (* (* 1/2 (/ (pow h1 2) (sqrt h0))) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (sqrt (* 1/2 (/ (pow h1 2) (sqrt h0)))) (sqrt (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* (sqrt 1/2) (sqrt (/ (pow h1 2) (sqrt h0)))) (* (sqrt 1/2) (sqrt (/ (pow h1 2) (sqrt h0)))) (* (sqrt 1/2) (/ (pow (sqrt h1) 2) (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ (pow (sqrt h1) 2) (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ (pow (sqrt h1) 2) (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ (pow (sqrt h1) 2) (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ h1 (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ h1 (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ h1 (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ h1 (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ (sqrt (pow h1 2)) (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ (sqrt (pow h1 2)) (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ (sqrt (pow h1 2)) (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ (sqrt (pow h1 2)) (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ (pow h1 (/ 2 2)) (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ (pow h1 (/ 2 2)) (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ (pow h1 (/ 2 2)) (sqrt (sqrt h0)))) (* (sqrt 1/2) (/ (pow h1 (/ 2 2)) (sqrt (sqrt h0)))) (* 1/2 (* (cbrt (/ (pow h1 2) (sqrt h0))) (cbrt (/ (pow h1 2) (sqrt h0))))) (* 1/2 (sqrt (/ (pow h1 2) (sqrt h0)))) (* 1/2 (/ (pow (* (cbrt h1) (cbrt h1)) 2) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (* 1/2 (/ (pow (* (cbrt h1) (cbrt h1)) 2) (sqrt (* (cbrt h0) (cbrt h0))))) (* 1/2 (/ (pow (* (cbrt h1) (cbrt h1)) 2) (sqrt (sqrt h0)))) (* 1/2 (/ (pow (* (cbrt h1) (cbrt h1)) 2) (sqrt 1))) (* 1/2 (/ (pow (* (cbrt h1) (cbrt h1)) 2) (sqrt (sqrt h0)))) (* 1/2 (/ (pow (* (cbrt h1) (cbrt h1)) 2) 1)) (* 1/2 (/ (pow (sqrt h1) 2) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (* 1/2 (/ (pow (sqrt h1) 2) (sqrt (* (cbrt h0) (cbrt h0))))) (* 1/2 (/ (pow (sqrt h1) 2) (sqrt (sqrt h0)))) (* 1/2 (/ (pow (sqrt h1) 2) (sqrt 1))) (* 1/2 (/ (pow (sqrt h1) 2) (sqrt (sqrt h0)))) (* 1/2 (/ (pow (sqrt h1) 2) 1)) (* 1/2 (/ (pow 1 2) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (* 1/2 (/ (pow 1 2) (sqrt (* (cbrt h0) (cbrt h0))))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt h0)))) (* 1/2 (/ (pow 1 2) (sqrt 1))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt h0)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ h1 (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (* 1/2 (/ h1 (sqrt (* (cbrt h0) (cbrt h0))))) (* 1/2 (/ h1 (sqrt (sqrt h0)))) (* 1/2 (/ h1 (sqrt 1))) (* 1/2 (/ h1 (sqrt (sqrt h0)))) (* 1/2 (/ h1 1)) (* 1/2 (/ (* (cbrt (pow h1 2)) (cbrt (pow h1 2))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (* 1/2 (/ (* (cbrt (pow h1 2)) (cbrt (pow h1 2))) (sqrt (* (cbrt h0) (cbrt h0))))) (* 1/2 (/ (* (cbrt (pow h1 2)) (cbrt (pow h1 2))) (sqrt (sqrt h0)))) (* 1/2 (/ (* (cbrt (pow h1 2)) (cbrt (pow h1 2))) (sqrt 1))) (* 1/2 (/ (* (cbrt (pow h1 2)) (cbrt (pow h1 2))) (sqrt (sqrt h0)))) (* 1/2 (/ (* (cbrt (pow h1 2)) (cbrt (pow h1 2))) 1)) (* 1/2 (/ (sqrt (pow h1 2)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (* 1/2 (/ (sqrt (pow h1 2)) (sqrt (* (cbrt h0) (cbrt h0))))) (* 1/2 (/ (sqrt (pow h1 2)) (sqrt (sqrt h0)))) (* 1/2 (/ (sqrt (pow h1 2)) (sqrt 1))) (* 1/2 (/ (sqrt (pow h1 2)) (sqrt (sqrt h0)))) (* 1/2 (/ (sqrt (pow h1 2)) 1)) (* 1/2 (/ 1 (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (* 1/2 (/ 1 (sqrt (* (cbrt h0) (cbrt h0))))) (* 1/2 (/ 1 (sqrt (sqrt h0)))) (* 1/2 (/ 1 (sqrt 1))) (* 1/2 (/ 1 (sqrt (sqrt h0)))) (* 1/2 (/ 1 1)) (* 1/2 (/ (pow h1 (/ 2 2)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (* 1/2 (/ (pow h1 (/ 2 2)) (sqrt (* (cbrt h0) (cbrt h0))))) (* 1/2 (/ (pow h1 (/ 2 2)) (sqrt (sqrt h0)))) (* 1/2 (/ (pow h1 (/ 2 2)) (sqrt 1))) (* 1/2 (/ (pow h1 (/ 2 2)) (sqrt (sqrt h0)))) (* 1/2 (/ (pow h1 (/ 2 2)) 1)) (* 1/2 1) (* 1/2 (pow h1 2)) (* (cbrt 1/2) (/ (pow h1 2) (sqrt h0))) (* (sqrt 1/2) (/ (pow h1 2) (sqrt h0))) (* 1/2 (/ (pow h1 2) (sqrt h0))) (* 1/2 (pow h1 2)) (* 1/2 (/ (pow h1 2) (sqrt h0))) (* 1/2 (/ (pow h1 2) (sqrt h0))) (* 1/2 (/ (pow h1 2) (sqrt h0))) 0.497 * * * [progress]: adding candidates to table 0.790 * [progress]: [Phase 3 of 3] Extracting. 0.790 * * [regime]: Finding splitpoints for: (# #) 0.790 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 0.790 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.803 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 0.820 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 0.842 * * * * [regimes]: Trying to branch on x from (# #) 0.862 * * * [regime]: Found split indices: #