2.494 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.057 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.057 * [simplify]: Sending expressions to egg_math: (log (+ h1 (sqrt (- (* h1 h1) h0)))) 0.059 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.060 * * [simplify]: iteration 1 : 11 enodes (cost 5 ) 0.061 * * [simplify]: iteration 2 : 11 enodes (cost 5 ) 0.062 * * [progress]: iteration 1 / 4 0.062 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 0.082 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0)) 0.082 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.082 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [backup-simplify]: Simplify 1.0 into 1.0 0.082 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.083 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.083 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.084 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [backup-simplify]: Simplify 1.0 into 1.0 0.085 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.085 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.086 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.087 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.090 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [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)) 0.099 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.101 * [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 (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) 0.102 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.102 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [backup-simplify]: Simplify 1.0 into 1.0 0.102 * [backup-simplify]: Simplify (+ 1 0) into 1 0.103 * [backup-simplify]: Simplify (sqrt 1) into 1 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [backup-simplify]: Simplify 1.0 into 1.0 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [backup-simplify]: Simplify (sqrt 1) into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.108 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.110 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.110 * [backup-simplify]: Simplify -0.5 into -0.5 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.116 * [backup-simplify]: Simplify -0.125 into -0.125 0.116 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* -0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) 0.116 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.116 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [backup-simplify]: Simplify 1.0 into 1.0 0.117 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [backup-simplify]: Simplify (sqrt 1) into 1 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.119 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.119 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [backup-simplify]: Simplify 1.0 into 1.0 0.119 * [backup-simplify]: Simplify (+ 1 0) into 1 0.120 * [backup-simplify]: Simplify (sqrt 1) into 1 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.123 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.125 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.125 * [backup-simplify]: Simplify -0.5 into -0.5 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.131 * [backup-simplify]: Simplify -0.125 into -0.125 0.131 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* -0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) 0.131 * * * [progress]: simplifying candidates 0.131 * [simplify]: Simplifying: (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) 0.131 * [simplify]: Sending expressions to egg_math: (log (sqrt (- (* h1 h1) h0))) (exp (sqrt (- (* h1 h1) h0))) (* (cbrt (sqrt (- (* h1 h1) h0))) (cbrt (sqrt (- (* h1 h1) h0)))) (cbrt (sqrt (- (* h1 h1) h0))) (* (* (sqrt (- (* h1 h1) h0)) (sqrt (- (* h1 h1) h0))) (sqrt (- (* h1 h1) h0))) (sqrt (* (cbrt (- (* h1 h1) h0)) (cbrt (- (* h1 h1) h0)))) (sqrt (cbrt (- (* h1 h1) h0))) (sqrt (sqrt (- (* h1 h1) h0))) (sqrt (sqrt (- (* h1 h1) h0))) (sqrt 1) (sqrt (- (* h1 h1) h0)) (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))) (sqrt (- (pow (* h1 h1) 3) (pow h0 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (+ (* h0 h0) (* (* h1 h1) h0)))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0))) (sqrt (+ (* h1 h1) h0)) (/ 1 2) (sqrt (sqrt (- (* h1 h1) h0))) (sqrt (sqrt (- (* h1 h1) h0))) (- (+ (* 1/2 (/ (pow h1 2) (sqrt (- h0)))) (sqrt (- h0))) (* 1/8 (/ (pow h1 4) (pow (sqrt (- h0)) 3)))) (- h1 (+ (* h3 (/ 1 h1)) (* h2 (/ 1 (pow h1 3))))) (- (+ (* h3 (/ 1 h1)) (* h2 (/ 1 (pow h1 3)))) h1) 0.138 * * [simplify]: iteration 0 : 142 enodes (cost 113 ) 0.141 * * [simplify]: iteration 1 : 438 enodes (cost 111 ) 0.149 * * [simplify]: iteration 2 : 1809 enodes (cost 109 ) 0.190 * * [simplify]: iteration 3 : 5001 enodes (cost 108 ) 0.191 * * * [progress]: adding candidates to table 0.236 * * [progress]: iteration 2 / 4 0.236 * * * [progress]: picking best candidate 0.238 * * * * [pick]: Picked # 0.238 * * * [progress]: localizing error 0.251 * * * [progress]: generating rewritten candidates 0.251 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 0.302 * * * [progress]: generating series expansions 0.302 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 0.303 * [backup-simplify]: Simplify (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) 0.303 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.303 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.303 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.304 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [backup-simplify]: Simplify 1.0 into 1.0 0.304 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 0.305 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.306 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 0.310 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 0.312 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 1 0) into 1 0.312 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 0.315 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.315 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.315 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [backup-simplify]: Simplify 1.0 into 1.0 0.315 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.316 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [backup-simplify]: Simplify 1.0 into 1.0 0.316 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 0.317 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.318 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 0.319 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 0.321 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 0.325 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 0.331 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 0.333 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 0.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0 0.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))))))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0 0.347 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 0.350 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 0.356 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) 0.356 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0)))) into (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) 0.356 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.356 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [backup-simplify]: Simplify 1.0 into 1.0 0.357 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.357 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.357 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [backup-simplify]: Simplify 1.0 into 1.0 0.358 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (+ 1 0) into 1 0.359 * [backup-simplify]: Simplify (+ 0 1) into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (sqrt 1) into 1 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.362 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 0.364 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 0.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.364 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.364 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [backup-simplify]: Simplify 1.0 into 1.0 0.365 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.365 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.365 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [backup-simplify]: Simplify 1.0 into 1.0 0.366 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [backup-simplify]: Simplify (+ 1 0) into 1 0.367 * [backup-simplify]: Simplify (+ 0 1) into 1 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (sqrt 1) into 1 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.370 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 0.372 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 0.380 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 0.381 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2)) 0.381 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.383 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 0.399 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 0.400 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4)) 0.402 * [backup-simplify]: Simplify (+ (* (* -1/8 (pow (sqrt 1.0) 4)) (pow (/ 1 x) 3)) (+ (* (* -1/2 (pow (sqrt 1.0) 2)) (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 0.403 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0)))) into (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) 0.403 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.403 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.403 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.403 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.403 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.403 * [taylor]: Taking taylor expansion of 1.0 in x 0.403 * [backup-simplify]: Simplify 1.0 into 1.0 0.403 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (+ 0 1) into 1 0.404 * [backup-simplify]: Simplify (- 1) into -1 0.404 * [backup-simplify]: Simplify (sqrt 0) into 0 0.405 * [backup-simplify]: Simplify (- 1) into -1 0.405 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.405 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.406 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [backup-simplify]: Simplify 1.0 into 1.0 0.406 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (- 1) into -1 0.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.407 * [backup-simplify]: Simplify (sqrt 0) into 0 0.408 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.408 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.408 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.408 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 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 0.408 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [backup-simplify]: Simplify (+ 0 1) into 1 0.409 * [backup-simplify]: Simplify (- 1) into -1 0.410 * [backup-simplify]: Simplify (sqrt 0) into 0 0.410 * [backup-simplify]: Simplify (- 1) into -1 0.411 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.411 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.411 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 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 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [backup-simplify]: Simplify (- 1) into -1 0.412 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.412 * [backup-simplify]: Simplify (sqrt 0) into 0 0.413 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.413 * [backup-simplify]: Simplify (* 0 0) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.417 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.418 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.421 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0.423 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 0.423 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (- 0) into 0 0.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.442 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.444 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.444 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (- (sqrt 1.0) +nan.0)) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0.454 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0.485 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0.489 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0.496 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) 0.496 * * * [progress]: simplifying candidates 0.497 * [simplify]: Simplifying: (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) 0.497 * [simplify]: Sending expressions to egg_math: (* (+ h1 (sqrt h0)) (- h1 (sqrt h0))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))) (* (+ h1 (sqrt h0)) (- h1 (sqrt h0))) (+ (log (sqrt (+ h1 (sqrt h0)))) (log (sqrt (- h1 (sqrt h0))))) (log (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (exp (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (* (* (* (sqrt (+ h1 (sqrt h0))) (sqrt (+ h1 (sqrt h0)))) (sqrt (+ h1 (sqrt h0)))) (* (* (sqrt (- h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))) (sqrt (- h1 (sqrt h0))))) (* (cbrt (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (cbrt (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))))) (cbrt (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (* (* (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (* (+ h1 (sqrt h0)) (- h1 (sqrt h0))) (sqrt (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (sqrt (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (* (sqrt (+ (pow h1 3) (pow (sqrt h0) 3))) (sqrt (- (pow h1 3) (pow (sqrt h0) 3)))) (* (sqrt (+ (* h1 h1) (- (* (sqrt h0) (sqrt h0)) (* h1 (sqrt h0))))) (sqrt (+ (* h1 h1) (+ (* (sqrt h0) (sqrt h0)) (* h1 (sqrt h0)))))) (* (sqrt (+ (pow h1 3) (pow (sqrt h0) 3))) (sqrt (- (* h1 h1) (* (sqrt h0) (sqrt h0))))) (* (sqrt (+ (* h1 h1) (- (* (sqrt h0) (sqrt h0)) (* h1 (sqrt h0))))) (sqrt (+ h1 (sqrt h0)))) (* (sqrt (- (* h1 h1) (* (sqrt h0) (sqrt h0)))) (sqrt (- (pow h1 3) (pow (sqrt h0) 3)))) (* (sqrt (- h1 (sqrt h0))) (sqrt (+ (* h1 h1) (+ (* (sqrt h0) (sqrt h0)) (* h1 (sqrt h0)))))) (* (sqrt (- (* h1 h1) (* (sqrt h0) (sqrt h0)))) (sqrt (- (* h1 h1) (* (sqrt h0) (sqrt h0))))) (* (sqrt (- h1 (sqrt h0))) (sqrt (+ h1 (sqrt h0)))) (* (sqrt (sqrt (+ h1 (sqrt h0)))) (sqrt (sqrt (- h1 (sqrt h0))))) (* (sqrt (sqrt (+ h1 (sqrt h0)))) (sqrt (sqrt (- h1 (sqrt h0))))) (* (sqrt (sqrt (+ h1 (sqrt h0)))) (sqrt (sqrt (- h1 (sqrt h0))))) (* (sqrt (sqrt (+ h1 (sqrt h0)))) (sqrt (sqrt (- h1 (sqrt h0))))) (* (sqrt (sqrt (+ h1 (sqrt h0)))) (sqrt (sqrt (- h1 (sqrt h0))))) (* (sqrt (sqrt (+ h1 (sqrt h0)))) (sqrt (sqrt (- h1 (sqrt h0))))) (* (sqrt (sqrt (+ h1 (sqrt h0)))) (sqrt (sqrt (- h1 (sqrt h0))))) (* (sqrt (sqrt (+ h1 (sqrt h0)))) (sqrt (sqrt (- h1 (sqrt h0))))) (* (sqrt (+ h1 (sqrt h0))) (* (cbrt (sqrt (- h1 (sqrt h0)))) (cbrt (sqrt (- h1 (sqrt h0)))))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (* (cbrt (- h1 (sqrt h0))) (cbrt (- h1 (sqrt h0)))))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (sqrt (- h1 (sqrt h0))))) (* (sqrt (+ h1 (sqrt h0))) (sqrt 1)) (* (sqrt (+ h1 (sqrt h0))) (sqrt (+ (sqrt h1) (sqrt (sqrt h0))))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (+ (sqrt h1) (sqrt (sqrt h0))))) (* (sqrt (+ h1 (sqrt h0))) (sqrt 1)) (* (sqrt (+ h1 (sqrt h0))) (sqrt (sqrt (- h1 (sqrt h0))))) (* (sqrt (+ h1 (sqrt h0))) 1) (* (cbrt (sqrt (+ h1 (sqrt h0)))) (sqrt (- h1 (sqrt h0)))) (* (sqrt (cbrt (+ h1 (sqrt h0)))) (sqrt (- h1 (sqrt h0)))) (* (sqrt (sqrt (+ h1 (sqrt h0)))) (sqrt (- h1 (sqrt h0)))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))) (* (sqrt (sqrt (+ h1 (sqrt h0)))) (sqrt (- h1 (sqrt h0)))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- (pow h1 3) (pow (sqrt h0) 3)))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- (* h1 h1) (* (sqrt h0) (sqrt h0))))) (* (sqrt (+ (pow h1 3) (pow (sqrt h0) 3))) (sqrt (- h1 (sqrt h0)))) (* (sqrt (- (* h1 h1) (* (sqrt h0) (sqrt h0)))) (sqrt (- h1 (sqrt h0)))) (- (+ (* 1/2 (/ (pow h1 2) (sqrt (* -1 (pow (sqrt h0) 2))))) (sqrt (* -1 (pow (sqrt h0) 2)))) (* 1/8 (/ (pow h1 4) (pow (sqrt (* -1 (pow (sqrt h0) 2))) 3)))) (- h1 (+ (* 1/8 (/ (pow (sqrt h0) 4) (pow h1 3))) (* 1/2 (/ (pow (sqrt h0) 2) h1)))) (- (+ (* h2 (/ (pow (sqrt h0) 2) (pow h1 2))) (- (+ (* h2 (/ (sqrt h0) (pow h1 2))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- (+ (* h2 (/ (sqrt h0) h1)) (- h2))))))))))) 0.501 * * [simplify]: iteration 0 : 278 enodes (cost 486 ) 0.505 * * [simplify]: iteration 1 : 971 enodes (cost 465 ) 0.524 * * [simplify]: iteration 2 : 4731 enodes (cost 456 ) 0.616 * * [simplify]: iteration 3 : 5001 enodes (cost 456 ) 0.618 * * * [progress]: adding candidates to table 0.730 * [progress]: [Phase 3 of 3] Extracting. 0.733 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 0.733 * [simplify]: Sending expressions to egg_math: (log (+ h1 (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))))) 0.733 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 0.733 * * [simplify]: iteration 1 : 13 enodes (cost 9 )