33.443 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying: (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.015 * [simplify]: Sending expressions to egg_math: (/ h0 (+ h1 (sqrt (+ h0 h1)))) 0.017 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.018 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.067 * [backup-simplify]: Simplify (/ x (+ 1.0 (sqrt (+ x 1.0)))) into (/ x (+ (sqrt (+ x 1.0)) 1.0)) 0.067 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.067 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.067 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [backup-simplify]: Simplify 1.0 into 1.0 0.068 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.068 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.069 * [backup-simplify]: Simplify (+ 1 0) into 1 0.070 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [backup-simplify]: Simplify 1.0 into 1.0 0.070 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.071 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.071 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [backup-simplify]: Simplify 1.0 into 1.0 0.071 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.072 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.072 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [backup-simplify]: Simplify 1.0 into 1.0 0.073 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.074 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.075 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.076 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 0.081 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.085 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.090 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.106 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 0.114 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 0.128 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (pow x 2)) (* (/ 1 (+ (sqrt 1.0) 1.0)) x))) into (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.128 * [backup-simplify]: Simplify (/ (/ 1 x) (+ 1.0 (sqrt (+ (/ 1 x) 1.0)))) into (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) 0.128 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.128 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.128 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [backup-simplify]: Simplify 1.0 into 1.0 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [backup-simplify]: Simplify (+ 0 1) into 1 0.129 * [backup-simplify]: Simplify (sqrt 0) into 0 0.130 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [backup-simplify]: Simplify 1.0 into 1.0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (* 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.131 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.134 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.134 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.140 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.140 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 0.140 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.140 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [backup-simplify]: Simplify 1.0 into 1.0 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (+ 0 1) into 1 0.141 * [backup-simplify]: Simplify (sqrt 0) into 0 0.142 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [backup-simplify]: Simplify 1.0 into 1.0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (* 0 0) into 0 0.143 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.143 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.145 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.146 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.147 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.148 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 0.148 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.151 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.153 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 0.155 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.155 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.159 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.162 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 0.165 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.165 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.165 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 x))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 0.166 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0)))) into (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) 0.166 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.166 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.166 * [taylor]: Taking taylor expansion of -1 in x 0.166 * [backup-simplify]: Simplify -1 into -1 0.166 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.166 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [backup-simplify]: Simplify 1.0 into 1.0 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (- 1) into -1 0.167 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.167 * [backup-simplify]: Simplify (sqrt 0) into 0 0.168 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [backup-simplify]: Simplify 1.0 into 1.0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (* 0 0) into 0 0.168 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.169 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.171 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.172 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.173 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.174 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 0.174 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [backup-simplify]: Simplify -1 into -1 0.174 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (- 1) into -1 0.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.175 * [backup-simplify]: Simplify (sqrt 0) into 0 0.176 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (* 0 0) into 0 0.177 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.177 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.180 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.180 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.182 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.183 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 0.183 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.186 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.188 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 0.190 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.190 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.194 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.197 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 0.200 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.200 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.201 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- x)))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 0.201 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.201 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.201 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.201 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.202 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.203 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.203 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [backup-simplify]: Simplify 1.0 into 1.0 0.203 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.203 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.205 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.206 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.210 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.212 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.212 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ 1.0 (/ 1 x))) 0.212 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.212 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [backup-simplify]: Simplify 1.0 into 1.0 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (+ 0 1) into 1 0.213 * [backup-simplify]: Simplify (sqrt 0) into 0 0.213 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.213 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [backup-simplify]: Simplify 1.0 into 1.0 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (+ 0 1) into 1 0.214 * [backup-simplify]: Simplify (sqrt 0) into 0 0.215 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.217 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.217 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.220 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.220 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.221 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.221 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.221 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.221 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [backup-simplify]: Simplify 1.0 into 1.0 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (- 1) into -1 0.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.222 * [backup-simplify]: Simplify (sqrt 0) into 0 0.222 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.222 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [backup-simplify]: Simplify 1.0 into 1.0 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [backup-simplify]: Simplify (- 1) into -1 0.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.223 * [backup-simplify]: Simplify (sqrt 0) into 0 0.224 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.231 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.231 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.234 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.234 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.234 * * * [progress]: simplifying candidates 0.235 * [simplify]: Simplifying: (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* x x) x) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x 1) (/ x 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.236 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (+ h1 (sqrt (+ h0 h1))))) (log1p (/ h0 (+ h1 (sqrt (+ h0 h1))))) (- (log h0) (log (+ h1 (sqrt (+ h0 h1))))) (log (/ h0 (+ h1 (sqrt (+ h0 h1))))) (exp (/ h0 (+ h1 (sqrt (+ h0 h1))))) (/ (* (* h0 h0) h0) (* (* (+ h1 (sqrt (+ h0 h1))) (+ h1 (sqrt (+ h0 h1)))) (+ h1 (sqrt (+ h0 h1))))) (* (cbrt (/ h0 (+ h1 (sqrt (+ h0 h1))))) (cbrt (/ h0 (+ h1 (sqrt (+ h0 h1)))))) (cbrt (/ h0 (+ h1 (sqrt (+ h0 h1))))) (* (* (/ h0 (+ h1 (sqrt (+ h0 h1)))) (/ h0 (+ h1 (sqrt (+ h0 h1))))) (/ h0 (+ h1 (sqrt (+ h0 h1))))) (sqrt (/ h0 (+ h1 (sqrt (+ h0 h1))))) (sqrt (/ h0 (+ h1 (sqrt (+ h0 h1))))) (- h0) (- (+ h1 (sqrt (+ h0 h1)))) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ (cbrt h0) (cbrt (+ h1 (sqrt (+ h0 h1))))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (cbrt h0) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 (sqrt (+ h0 h1)))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 (sqrt (+ h0 h1)))) (/ (sqrt h0) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ (sqrt h0) (cbrt (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt h0) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt h0) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 (sqrt (+ h0 h1)))) (/ 1 (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ h0 (cbrt (+ h1 (sqrt (+ h0 h1))))) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ h0 (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ 1 1) (/ h0 (+ h1 (sqrt (+ h0 h1)))) (/ 1 1) (/ h0 (+ h1 (sqrt (+ h0 h1)))) (/ 1 (+ h1 (sqrt (+ h0 h1)))) (/ (+ h1 (sqrt (+ h0 h1))) h0) (/ h0 (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ h0 (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ h0 1) (/ h0 1) (/ (+ h1 (sqrt (+ h0 h1))) (cbrt h0)) (/ (+ h1 (sqrt (+ h0 h1))) (sqrt h0)) (/ (+ h1 (sqrt (+ h0 h1))) h0) (/ h0 (+ (pow h1 3) (pow (sqrt (+ h0 h1)) 3))) (/ h0 (- (* h1 h1) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))))) (expm1 (sqrt (+ h0 h1))) (log1p (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (/ h0 (+ (sqrt h1) h1)) (+ (* 1/8 (/ (pow h0 3) (* (pow (sqrt h1) 3) (pow (+ (sqrt h1) h1) 2)))) (* 1/4 (/ (pow h0 3) (* (pow (sqrt h1) 2) (pow (+ (sqrt h1) h1) 3)))))) (* 1/2 (/ (pow h0 2) (* (sqrt h1) (pow (+ (sqrt h1) h1) 2))))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) 0.241 * * [simplify]: iteration 0 : 304 enodes (cost 400 ) 0.247 * * [simplify]: iteration 1 : 1151 enodes (cost 366 ) 0.270 * * [simplify]: iteration 2 : 5002 enodes (cost 357 ) 0.273 * * * [progress]: adding candidates to table 0.383 * * [progress]: iteration 2 / 4 0.384 * * * [progress]: picking best candidate 0.388 * * * * [pick]: Picked # 0.388 * * * [progress]: localizing error 0.394 * * * [progress]: generating rewritten candidates 0.394 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.465 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.498 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 2) 0.509 * * * [progress]: generating series expansions 0.509 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.509 * [backup-simplify]: Simplify (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) into (/ x (+ (sqrt (+ x 1.0)) 1.0)) 0.509 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.509 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.509 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.509 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [backup-simplify]: Simplify 1.0 into 1.0 0.510 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.510 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.510 * [backup-simplify]: Simplify (+ 1 0) into 1 0.511 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [backup-simplify]: Simplify 1.0 into 1.0 0.512 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.513 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.513 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.513 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [backup-simplify]: Simplify 1.0 into 1.0 0.513 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.514 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.514 * [backup-simplify]: Simplify (+ 1 0) into 1 0.515 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [backup-simplify]: Simplify 1.0 into 1.0 0.515 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.516 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.517 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.518 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 0.524 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.527 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.527 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.532 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.548 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 0.557 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 0.574 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (pow x 2)) (* (/ 1 (+ (sqrt 1.0) 1.0)) x))) into (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.574 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 (+ 1.0 (sqrt (+ (/ 1 x) 1.0))))) into (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) 0.574 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.574 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.574 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.574 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.574 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [backup-simplify]: Simplify 1.0 into 1.0 0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (/ 1 1) into 1 0.575 * [backup-simplify]: Simplify (+ 0 1) into 1 0.575 * [backup-simplify]: Simplify (sqrt 0) into 0 0.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.576 * [taylor]: Taking taylor expansion of 1.0 in x 0.576 * [backup-simplify]: Simplify 1.0 into 1.0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify (* 0 0) into 0 0.577 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.577 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.580 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.580 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.582 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.582 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 0.583 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.583 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.583 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.583 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [backup-simplify]: Simplify 1.0 into 1.0 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (/ 1 1) into 1 0.583 * [backup-simplify]: Simplify (+ 0 1) into 1 0.583 * [backup-simplify]: Simplify (sqrt 0) into 0 0.584 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [backup-simplify]: Simplify 1.0 into 1.0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (* 0 0) into 0 0.585 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.585 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.588 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.588 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.590 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.590 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 0.591 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.594 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.596 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 0.598 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.598 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.602 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.604 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 0.607 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.608 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.608 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 x))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 0.608 * [backup-simplify]: Simplify (* (/ 1 (- x)) (/ 1 (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0))))) into (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) 0.608 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.608 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.608 * [taylor]: Taking taylor expansion of -1 in x 0.608 * [backup-simplify]: Simplify -1 into -1 0.608 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.609 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [backup-simplify]: Simplify 1.0 into 1.0 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (/ 1 1) into 1 0.609 * [backup-simplify]: Simplify (- 1) into -1 0.609 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.610 * [backup-simplify]: Simplify (sqrt 0) into 0 0.610 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [backup-simplify]: Simplify 1.0 into 1.0 0.611 * [backup-simplify]: Simplify (+ 0 0) into 0 0.611 * [backup-simplify]: Simplify (* 0 0) into 0 0.611 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.612 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.613 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.614 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.615 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.617 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.617 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 0.617 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.617 * [taylor]: Taking taylor expansion of -1 in x 0.617 * [backup-simplify]: Simplify -1 into -1 0.617 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.617 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [backup-simplify]: Simplify 1.0 into 1.0 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (/ 1 1) into 1 0.618 * [backup-simplify]: Simplify (- 1) into -1 0.618 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.618 * [backup-simplify]: Simplify (sqrt 0) into 0 0.619 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [backup-simplify]: Simplify 1.0 into 1.0 0.620 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [backup-simplify]: Simplify (* 0 0) into 0 0.620 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.621 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (- 0) into 0 0.622 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.623 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.624 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.626 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.626 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 0.626 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (- 0) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.630 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.632 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 0.634 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.634 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (- 0) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.638 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.638 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.641 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 0.644 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.644 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.645 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- x)))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 0.645 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.645 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) into (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) 0.645 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.645 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.645 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.645 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.645 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [backup-simplify]: Simplify 1.0 into 1.0 0.645 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.646 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.646 * [backup-simplify]: Simplify (+ 1 0) into 1 0.647 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.647 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [backup-simplify]: Simplify 1.0 into 1.0 0.647 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.648 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.648 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.648 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.648 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [backup-simplify]: Simplify 1.0 into 1.0 0.649 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.649 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.649 * [backup-simplify]: Simplify (+ 1 0) into 1 0.650 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.650 * [backup-simplify]: Simplify 1.0 into 1.0 0.651 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.652 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.652 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.654 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 0.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.666 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.671 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 0.695 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 0.708 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) x) (/ 1 (+ (sqrt 1.0) 1.0)))) into (- (+ (/ 1 (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ x (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.708 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (sqrt (+ (/ 1 x) 1.0)))) into (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) 0.709 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.709 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.709 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.709 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.709 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.709 * [backup-simplify]: Simplify 1.0 into 1.0 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [backup-simplify]: Simplify (+ 0 1) into 1 0.709 * [backup-simplify]: Simplify (sqrt 0) into 0 0.710 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.710 * [taylor]: Taking taylor expansion of 1.0 in x 0.710 * [backup-simplify]: Simplify 1.0 into 1.0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.711 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 0.711 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.711 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.711 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.711 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [backup-simplify]: Simplify 1.0 into 1.0 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.712 * [backup-simplify]: Simplify (+ 0 1) into 1 0.712 * [backup-simplify]: Simplify (sqrt 0) into 0 0.713 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [backup-simplify]: Simplify 1.0 into 1.0 0.713 * [backup-simplify]: Simplify (+ 0 0) into 0 0.713 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.714 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 0.714 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.716 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.717 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.718 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.719 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.722 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.725 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.725 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.726 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.726 * [backup-simplify]: Simplify (/ 1 (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0)))) into (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) 0.726 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.726 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.726 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.726 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.726 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [backup-simplify]: Simplify 1.0 into 1.0 0.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (/ 1 1) into 1 0.726 * [backup-simplify]: Simplify (- 1) into -1 0.727 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.727 * [backup-simplify]: Simplify (sqrt 0) into 0 0.728 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.728 * [taylor]: Taking taylor expansion of 1.0 in x 0.728 * [backup-simplify]: Simplify 1.0 into 1.0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.729 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 0.729 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.729 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.729 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [backup-simplify]: Simplify 1.0 into 1.0 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (/ 1 1) into 1 0.729 * [backup-simplify]: Simplify (- 1) into -1 0.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.730 * [backup-simplify]: Simplify (sqrt 0) into 0 0.730 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [backup-simplify]: Simplify 1.0 into 1.0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.731 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 0.731 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (- 0) into 0 0.732 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.734 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.734 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.736 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.736 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (- 0) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.739 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.742 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.743 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.743 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.743 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 2) 0.743 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.744 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.744 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.744 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [taylor]: Taking taylor expansion of 1.0 in x 0.744 * [backup-simplify]: Simplify 1.0 into 1.0 0.744 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.744 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.744 * [backup-simplify]: Simplify (+ 1 0) into 1 0.745 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.745 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.745 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [backup-simplify]: Simplify 1.0 into 1.0 0.746 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.746 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.746 * [backup-simplify]: Simplify (+ 1 0) into 1 0.750 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.751 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.752 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.756 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.758 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.758 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ 1.0 (/ 1 x))) 0.759 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.759 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.759 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.759 * [taylor]: Taking taylor expansion of 1.0 in x 0.759 * [backup-simplify]: Simplify 1.0 into 1.0 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [backup-simplify]: Simplify (+ 0 1) into 1 0.759 * [backup-simplify]: Simplify (sqrt 0) into 0 0.760 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.760 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.760 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.760 * [taylor]: Taking taylor expansion of 1.0 in x 0.760 * [backup-simplify]: Simplify 1.0 into 1.0 0.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (/ 1 1) into 1 0.761 * [backup-simplify]: Simplify (+ 0 1) into 1 0.761 * [backup-simplify]: Simplify (sqrt 0) into 0 0.762 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.764 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.764 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.767 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.767 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.768 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.768 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.768 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.768 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.768 * [taylor]: Taking taylor expansion of 1.0 in x 0.768 * [backup-simplify]: Simplify 1.0 into 1.0 0.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (/ 1 1) into 1 0.768 * [backup-simplify]: Simplify (- 1) into -1 0.768 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.769 * [backup-simplify]: Simplify (sqrt 0) into 0 0.769 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.769 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.769 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.769 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [backup-simplify]: Simplify 1.0 into 1.0 0.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [backup-simplify]: Simplify (- 1) into -1 0.770 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.770 * [backup-simplify]: Simplify (sqrt 0) into 0 0.771 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (- 0) into 0 0.772 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.774 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.774 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (- 0) into 0 0.775 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.777 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.777 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.777 * * * [progress]: simplifying candidates 0.779 * [simplify]: Simplifying: (expm1 (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (+ (log x) (- (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (- 0 (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (log (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (exp (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x x) x) (* (* (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (* x (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* x (/ 1 (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))))) (* (cbrt x) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x 1) (expm1 (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (- (log (+ 1.0 (sqrt (+ x 1.0))))) (- 0 (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt 1) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ 1 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (/ 1 (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ x (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.779 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (log1p (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1))))) (+ (log h0) (- (log (+ h1 (sqrt (+ h0 h1)))))) (+ (log h0) (- 0 (log (+ h1 (sqrt (+ h0 h1)))))) (+ (log h0) (- (log 1) (log (+ h1 (sqrt (+ h0 h1)))))) (+ (log h0) (log (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (log (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (exp (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* (* (* h0 h0) h0) (/ (* (* 1 1) 1) (* (* (+ h1 (sqrt (+ h0 h1))) (+ h1 (sqrt (+ h0 h1)))) (+ h1 (sqrt (+ h0 h1)))))) (* (* (* h0 h0) h0) (* (* (/ 1 (+ h1 (sqrt (+ h0 h1)))) (/ 1 (+ h1 (sqrt (+ h0 h1))))) (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* (cbrt (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (cbrt (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1))))))) (cbrt (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* (* (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1))))) (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (sqrt (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (sqrt (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (sqrt (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (sqrt (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* (sqrt h0) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* h0 (* (cbrt (/ 1 (+ h1 (sqrt (+ h0 h1))))) (cbrt (/ 1 (+ h1 (sqrt (+ h0 h1))))))) (* h0 (sqrt (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1))))))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (sqrt 1) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1))))))) (* h0 (/ (sqrt 1) (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* h0 (/ (sqrt 1) 1)) (* h0 (/ (sqrt 1) 1)) (* h0 (/ 1 (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1))))))) (* h0 (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1)))))) (* h0 (/ 1 1)) (* h0 (/ 1 1)) (* h0 1) (* h0 1) (* h0 (/ 1 (+ (pow h1 3) (pow (sqrt (+ h0 h1)) 3)))) (* h0 (/ 1 (- (* h1 h1) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1)))))) (* (cbrt h0) (/ 1 (+ h1 (sqrt (+ h0 h1))))) (* (sqrt h0) (/ 1 (+ h1 (sqrt (+ h0 h1))))) (* h0 (/ 1 (+ h1 (sqrt (+ h0 h1))))) (* h0 1) (expm1 (/ 1 (+ h1 (sqrt (+ h0 h1))))) (log1p (/ 1 (+ h1 (sqrt (+ h0 h1))))) (- 1) (- (log (+ h1 (sqrt (+ h0 h1))))) (- 0 (log (+ h1 (sqrt (+ h0 h1))))) (- (log 1) (log (+ h1 (sqrt (+ h0 h1))))) (log (/ 1 (+ h1 (sqrt (+ h0 h1))))) (exp (/ 1 (+ h1 (sqrt (+ h0 h1))))) (/ (* (* 1 1) 1) (* (* (+ h1 (sqrt (+ h0 h1))) (+ h1 (sqrt (+ h0 h1)))) (+ h1 (sqrt (+ h0 h1))))) (* (cbrt (/ 1 (+ h1 (sqrt (+ h0 h1))))) (cbrt (/ 1 (+ h1 (sqrt (+ h0 h1)))))) (cbrt (/ 1 (+ h1 (sqrt (+ h0 h1))))) (* (* (/ 1 (+ h1 (sqrt (+ h0 h1)))) (/ 1 (+ h1 (sqrt (+ h0 h1))))) (/ 1 (+ h1 (sqrt (+ h0 h1))))) (sqrt (/ 1 (+ h1 (sqrt (+ h0 h1))))) (sqrt (/ 1 (+ h1 (sqrt (+ h0 h1))))) (- 1) (- (+ h1 (sqrt (+ h0 h1)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ (cbrt 1) (cbrt (+ h1 (sqrt (+ h0 h1))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (cbrt 1) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h1 (sqrt (+ h0 h1)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h1 (sqrt (+ h0 h1)))) (/ (sqrt 1) (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ (sqrt 1) (cbrt (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt 1) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt 1) (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h1 (sqrt (+ h0 h1)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h1 (sqrt (+ h0 h1)))) (/ 1 (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ 1 (cbrt (+ h1 (sqrt (+ h0 h1))))) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ 1 1) (/ 1 (+ h1 (sqrt (+ h0 h1)))) (/ 1 1) (/ 1 (+ h1 (sqrt (+ h0 h1)))) (/ 1 (+ h1 (sqrt (+ h0 h1)))) (/ (+ h1 (sqrt (+ h0 h1))) 1) (/ 1 (* (cbrt (+ h1 (sqrt (+ h0 h1)))) (cbrt (+ h1 (sqrt (+ h0 h1)))))) (/ 1 (sqrt (+ h1 (sqrt (+ h0 h1))))) (/ 1 1) (/ 1 1) (/ (+ h1 (sqrt (+ h0 h1))) (cbrt 1)) (/ (+ h1 (sqrt (+ h0 h1))) (sqrt 1)) (/ (+ h1 (sqrt (+ h0 h1))) 1) (/ 1 (+ (pow h1 3) (pow (sqrt (+ h0 h1)) 3))) (/ 1 (- (* h1 h1) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))))) (expm1 (sqrt (+ h0 h1))) (log1p (sqrt (+ h0 h1))) (log (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (/ h0 (+ (sqrt h1) h1)) (+ (* 1/8 (/ (pow h0 3) (* (pow (sqrt h1) 3) (pow (+ (sqrt h1) h1) 2)))) (* 1/4 (/ (pow h0 3) (* (pow (sqrt h1) 2) (pow (+ (sqrt h1) h1) 3)))))) (* 1/2 (/ (pow h0 2) (* (sqrt h1) (pow (+ (sqrt h1) h1) 2))))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) (- (+ (/ 1 (+ (sqrt h1) h1)) (+ (* 1/8 (/ (pow h0 2) (* (pow (sqrt h1) 3) (pow (+ (sqrt h1) h1) 2)))) (* 1/4 (/ (pow h0 2) (* (pow (sqrt h1) 2) (pow (+ (sqrt h1) h1) 3)))))) (* 1/2 (/ h0 (* (sqrt h1) (pow (+ (sqrt h1) h1) 2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) 0.785 * * [simplify]: iteration 0 : 442 enodes (cost 749 ) 0.795 * * [simplify]: iteration 1 : 1974 enodes (cost 650 ) 0.828 * * [simplify]: iteration 2 : 5001 enodes (cost 606 ) 0.831 * * * [progress]: adding candidates to table 0.990 * * [progress]: iteration 3 / 4 0.990 * * * [progress]: picking best candidate 0.993 * * * * [pick]: Picked # 0.993 * * * [progress]: localizing error 1.000 * * * [progress]: generating rewritten candidates 1.000 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.049 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.058 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 1.066 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.082 * * * [progress]: generating series expansions 1.082 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.083 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) into (sqrt (+ x 1.0)) 1.083 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.083 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.083 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [backup-simplify]: Simplify 1.0 into 1.0 1.083 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.084 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.084 * [backup-simplify]: Simplify (+ 1 0) into 1 1.085 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.085 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.085 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [backup-simplify]: Simplify 1.0 into 1.0 1.085 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.086 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.086 * [backup-simplify]: Simplify (+ 1 0) into 1 1.087 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.087 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.087 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.092 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.093 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 1.094 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (/ 1 x) 1.0))) (sqrt (sqrt (+ (/ 1 x) 1.0)))) into (sqrt (+ 1.0 (/ 1 x))) 1.094 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 1.094 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.094 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [backup-simplify]: Simplify 1.0 into 1.0 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (/ 1 1) into 1 1.094 * [backup-simplify]: Simplify (+ 0 1) into 1 1.095 * [backup-simplify]: Simplify (sqrt 0) into 0 1.095 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.095 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.095 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.095 * [taylor]: Taking taylor expansion of 1.0 in x 1.095 * [backup-simplify]: Simplify 1.0 into 1.0 1.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (/ 1 1) into 1 1.096 * [backup-simplify]: Simplify (+ 0 1) into 1 1.096 * [backup-simplify]: Simplify (sqrt 0) into 0 1.097 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.099 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.099 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.102 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.103 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.103 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (/ 1 (- x)) 1.0))) (sqrt (sqrt (+ (/ 1 (- x)) 1.0)))) into (sqrt (- 1.0 (/ 1 x))) 1.103 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.103 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.103 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [backup-simplify]: Simplify 1.0 into 1.0 1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (/ 1 1) into 1 1.103 * [backup-simplify]: Simplify (- 1) into -1 1.104 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.104 * [backup-simplify]: Simplify (sqrt 0) into 0 1.105 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.105 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.105 * [taylor]: Taking taylor expansion of 1.0 in x 1.105 * [backup-simplify]: Simplify 1.0 into 1.0 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [backup-simplify]: Simplify (- 1) into -1 1.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.106 * [backup-simplify]: Simplify (sqrt 0) into 0 1.106 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.107 * [backup-simplify]: Simplify (- 0) into 0 1.107 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.109 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.109 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.110 * [backup-simplify]: Simplify (- 0) into 0 1.110 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.112 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.112 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.113 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.113 * [backup-simplify]: Simplify (/ x (+ 1.0 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) into (/ x (+ (sqrt (+ x 1.0)) 1.0)) 1.113 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 1.113 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.113 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [backup-simplify]: Simplify 1.0 into 1.0 1.113 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.114 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.114 * [backup-simplify]: Simplify (+ 1 0) into 1 1.115 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.115 * [backup-simplify]: Simplify 1.0 into 1.0 1.115 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.116 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 1.116 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 1 into 1 1.116 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.116 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.116 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify 1 into 1 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [backup-simplify]: Simplify 1.0 into 1.0 1.116 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.117 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.117 * [backup-simplify]: Simplify (+ 1 0) into 1 1.118 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [backup-simplify]: Simplify 1.0 into 1.0 1.118 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.119 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 1.120 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 1.121 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 1.126 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 1.130 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 1.130 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.135 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.151 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 1.163 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 1.175 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (pow x 2)) (* (/ 1 (+ (sqrt 1.0) 1.0)) x))) into (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 1.176 * [backup-simplify]: Simplify (/ (/ 1 x) (+ 1.0 (* (sqrt (sqrt (+ (/ 1 x) 1.0))) (sqrt (sqrt (+ (/ 1 x) 1.0)))))) into (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) 1.176 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.176 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.176 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 1 into 1 1.176 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.176 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.176 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.176 * [taylor]: Taking taylor expansion of 1.0 in x 1.176 * [backup-simplify]: Simplify 1.0 into 1.0 1.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [backup-simplify]: Simplify 0 into 0 1.176 * [backup-simplify]: Simplify 1 into 1 1.176 * [backup-simplify]: Simplify (/ 1 1) into 1 1.176 * [backup-simplify]: Simplify (+ 0 1) into 1 1.177 * [backup-simplify]: Simplify (sqrt 0) into 0 1.177 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [backup-simplify]: Simplify 1.0 into 1.0 1.178 * [backup-simplify]: Simplify (+ 0 0) into 0 1.178 * [backup-simplify]: Simplify (* 0 0) into 0 1.178 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.179 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 1.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.181 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.182 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.183 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 1.184 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 1.184 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.184 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 1 into 1 1.184 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.184 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.184 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [backup-simplify]: Simplify 1.0 into 1.0 1.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 1 into 1 1.184 * [backup-simplify]: Simplify (/ 1 1) into 1 1.185 * [backup-simplify]: Simplify (+ 0 1) into 1 1.185 * [backup-simplify]: Simplify (sqrt 0) into 0 1.186 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.186 * [taylor]: Taking taylor expansion of 1.0 in x 1.186 * [backup-simplify]: Simplify 1.0 into 1.0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.186 * [backup-simplify]: Simplify (* 0 0) into 0 1.186 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.187 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 1.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.187 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.189 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.189 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.191 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 1.192 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 1.192 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.193 * [backup-simplify]: Simplify (+ 0 0) into 0 1.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.195 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.197 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 1.199 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.199 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.203 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.203 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.205 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 1.208 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.209 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.209 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 x))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 1.209 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ 1.0 (* (sqrt (sqrt (+ (/ 1 (- x)) 1.0))) (sqrt (sqrt (+ (/ 1 (- x)) 1.0)))))) into (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) 1.209 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.209 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.209 * [taylor]: Taking taylor expansion of -1 in x 1.209 * [backup-simplify]: Simplify -1 into -1 1.209 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.210 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.210 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.210 * [taylor]: Taking taylor expansion of 1.0 in x 1.210 * [backup-simplify]: Simplify 1.0 into 1.0 1.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.210 * [taylor]: Taking taylor expansion of x in x 1.210 * [backup-simplify]: Simplify 0 into 0 1.210 * [backup-simplify]: Simplify 1 into 1 1.210 * [backup-simplify]: Simplify (/ 1 1) into 1 1.210 * [backup-simplify]: Simplify (- 1) into -1 1.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.211 * [backup-simplify]: Simplify (sqrt 0) into 0 1.211 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.211 * [taylor]: Taking taylor expansion of 1.0 in x 1.211 * [backup-simplify]: Simplify 1.0 into 1.0 1.212 * [backup-simplify]: Simplify (+ 0 0) into 0 1.212 * [backup-simplify]: Simplify (* 0 0) into 0 1.212 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.213 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 1.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.213 * [backup-simplify]: Simplify (- 0) into 0 1.213 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.215 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.215 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.217 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 1.218 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 1.218 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.218 * [taylor]: Taking taylor expansion of -1 in x 1.218 * [backup-simplify]: Simplify -1 into -1 1.218 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.218 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.218 * [taylor]: Taking taylor expansion of 1.0 in x 1.218 * [backup-simplify]: Simplify 1.0 into 1.0 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (/ 1 1) into 1 1.218 * [backup-simplify]: Simplify (- 1) into -1 1.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.219 * [backup-simplify]: Simplify (sqrt 0) into 0 1.220 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.220 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [backup-simplify]: Simplify 1.0 into 1.0 1.220 * [backup-simplify]: Simplify (+ 0 0) into 0 1.220 * [backup-simplify]: Simplify (* 0 0) into 0 1.220 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.221 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 1.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.221 * [backup-simplify]: Simplify (- 0) into 0 1.222 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.223 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.224 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.225 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 1.226 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 1.226 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.227 * [backup-simplify]: Simplify (- 0) into 0 1.227 * [backup-simplify]: Simplify (+ 0 0) into 0 1.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.229 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.232 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 1.234 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.234 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.235 * [backup-simplify]: Simplify (- 0) into 0 1.235 * [backup-simplify]: Simplify (+ 0 0) into 0 1.237 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.238 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.240 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 1.246 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.247 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.247 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- x)))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 1.247 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 1.247 * [backup-simplify]: Simplify (sqrt (sqrt (+ x 1.0))) into (pow (+ x 1.0) 1/4) 1.247 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.247 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.247 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.247 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.248 * [taylor]: Taking taylor expansion of 1/4 in x 1.248 * [backup-simplify]: Simplify 1/4 into 1/4 1.248 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.248 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 1 into 1 1.248 * [taylor]: Taking taylor expansion of 1.0 in x 1.248 * [backup-simplify]: Simplify 1.0 into 1.0 1.248 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.248 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.249 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 1.250 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 1.250 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.250 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.250 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.250 * [taylor]: Taking taylor expansion of 1/4 in x 1.250 * [backup-simplify]: Simplify 1/4 into 1/4 1.250 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.250 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [taylor]: Taking taylor expansion of 1.0 in x 1.250 * [backup-simplify]: Simplify 1.0 into 1.0 1.250 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.250 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.251 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 1.252 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 1.252 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4) 1.252 * [backup-simplify]: Simplify (+ 1 0) into 1 1.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.256 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (log 1.0))) into 0.25 1.259 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow 1.0 1/4)) 1.260 * [backup-simplify]: Simplify (* 0.25 (pow 1.0 1/4)) into (* 0.25 (pow 1.0 1/4)) 1.260 * [backup-simplify]: Simplify (+ 0 0) into 0 1.265 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.268 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 1.276 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 1.278 * [backup-simplify]: Simplify (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 1.282 * [backup-simplify]: Simplify (+ (* (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) (pow x 2)) (+ (* (* 0.25 (pow 1.0 1/4)) x) (pow 1.0 1/4))) into (- (+ (* 0.25 (* x (pow 1.0 1/4))) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) 1.282 * [backup-simplify]: Simplify (sqrt (sqrt (+ (/ 1 x) 1.0))) into (pow (+ 1.0 (/ 1 x)) 1/4) 1.283 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.283 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.283 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.283 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.283 * [taylor]: Taking taylor expansion of 1/4 in x 1.283 * [backup-simplify]: Simplify 1/4 into 1/4 1.283 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.283 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [backup-simplify]: Simplify 1.0 into 1.0 1.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.283 * [backup-simplify]: Simplify (/ 1 1) into 1 1.283 * [backup-simplify]: Simplify (+ 0 1) into 1 1.283 * [backup-simplify]: Simplify (log 1) into 0 1.284 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.284 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 1.284 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 1.284 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.284 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.284 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.284 * [taylor]: Taking taylor expansion of 1/4 in x 1.284 * [backup-simplify]: Simplify 1/4 into 1/4 1.284 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.284 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [backup-simplify]: Simplify 1.0 into 1.0 1.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 1 into 1 1.284 * [backup-simplify]: Simplify (/ 1 1) into 1 1.285 * [backup-simplify]: Simplify (+ 0 1) into 1 1.285 * [backup-simplify]: Simplify (log 1) into 0 1.285 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.285 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 1.285 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 1.285 * [backup-simplify]: Simplify (pow x -1/4) into (pow x -1/4) 1.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.286 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.289 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.290 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.290 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log x)))) into 0.25 1.292 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow (/ 1 x) 1/4)) 1.292 * [backup-simplify]: Simplify (* 0.25 (pow (/ 1 x) 1/4)) into (* 0.25 (pow (/ 1 x) 1/4)) 1.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.292 * [backup-simplify]: Simplify (+ 0 0) into 0 1.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.298 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.299 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.125) 1.302 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (pow (/ 1 x) 1/4)) 1.302 * [backup-simplify]: Simplify (* -0.09375 (pow (/ 1 x) 1/4)) into (* -0.09375 (pow (/ 1 x) 1/4)) 1.303 * [backup-simplify]: Simplify (+ (* (* -0.09375 (pow (/ 1 (/ 1 x)) 1/4)) (pow (/ 1 x) 2)) (+ (* (* 0.25 (pow (/ 1 (/ 1 x)) 1/4)) (/ 1 x)) (pow (/ 1 x) -1/4))) into (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) 1.303 * [backup-simplify]: Simplify (sqrt (sqrt (+ (/ 1 (- x)) 1.0))) into (pow (- 1.0 (/ 1 x)) 1/4) 1.303 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.303 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.303 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.303 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.303 * [taylor]: Taking taylor expansion of 1/4 in x 1.303 * [backup-simplify]: Simplify 1/4 into 1/4 1.303 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [backup-simplify]: Simplify 1.0 into 1.0 1.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (/ 1 1) into 1 1.304 * [backup-simplify]: Simplify (- 1) into -1 1.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.304 * [backup-simplify]: Simplify (log -1) into (log -1) 1.305 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.305 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 1.305 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 1.305 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.305 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.305 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.305 * [taylor]: Taking taylor expansion of 1/4 in x 1.305 * [backup-simplify]: Simplify 1/4 into 1/4 1.305 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [backup-simplify]: Simplify 1.0 into 1.0 1.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (/ 1 1) into 1 1.306 * [backup-simplify]: Simplify (- 1) into -1 1.306 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.306 * [backup-simplify]: Simplify (log -1) into (log -1) 1.307 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.307 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 1.307 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 1.308 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 1.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.308 * [backup-simplify]: Simplify (- 0) into 0 1.309 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.313 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.313 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.25) 1.315 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 1.315 * [backup-simplify]: Simplify (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify (- 0) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.322 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 1.323 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.323 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.125) 1.327 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 1.327 * [backup-simplify]: Simplify (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 1.332 * [backup-simplify]: Simplify (+ (* (* -0.09375 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/4 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 1.332 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.332 * [backup-simplify]: Simplify (sqrt (sqrt (+ x 1.0))) into (pow (+ x 1.0) 1/4) 1.332 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.332 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.332 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.332 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.332 * [taylor]: Taking taylor expansion of 1/4 in x 1.332 * [backup-simplify]: Simplify 1/4 into 1/4 1.332 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.332 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [backup-simplify]: Simplify 1.0 into 1.0 1.332 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.333 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.333 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 1.334 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 1.334 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.334 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.334 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.334 * [taylor]: Taking taylor expansion of 1/4 in x 1.334 * [backup-simplify]: Simplify 1/4 into 1/4 1.334 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.334 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [taylor]: Taking taylor expansion of 1.0 in x 1.334 * [backup-simplify]: Simplify 1.0 into 1.0 1.335 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.335 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.335 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 1.336 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 1.336 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4) 1.337 * [backup-simplify]: Simplify (+ 1 0) into 1 1.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.340 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (log 1.0))) into 0.25 1.343 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow 1.0 1/4)) 1.344 * [backup-simplify]: Simplify (* 0.25 (pow 1.0 1/4)) into (* 0.25 (pow 1.0 1/4)) 1.344 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.352 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 1.359 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 1.362 * [backup-simplify]: Simplify (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 1.365 * [backup-simplify]: Simplify (+ (* (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) (pow x 2)) (+ (* (* 0.25 (pow 1.0 1/4)) x) (pow 1.0 1/4))) into (- (+ (* 0.25 (* x (pow 1.0 1/4))) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) 1.366 * [backup-simplify]: Simplify (sqrt (sqrt (+ (/ 1 x) 1.0))) into (pow (+ 1.0 (/ 1 x)) 1/4) 1.366 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.366 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.366 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.366 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.366 * [taylor]: Taking taylor expansion of 1/4 in x 1.366 * [backup-simplify]: Simplify 1/4 into 1/4 1.366 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.366 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.366 * [taylor]: Taking taylor expansion of 1.0 in x 1.366 * [backup-simplify]: Simplify 1.0 into 1.0 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (/ 1 1) into 1 1.366 * [backup-simplify]: Simplify (+ 0 1) into 1 1.367 * [backup-simplify]: Simplify (log 1) into 0 1.367 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.367 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 1.367 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 1.367 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.367 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.367 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.367 * [taylor]: Taking taylor expansion of 1/4 in x 1.367 * [backup-simplify]: Simplify 1/4 into 1/4 1.367 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.367 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [backup-simplify]: Simplify 1.0 into 1.0 1.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [backup-simplify]: Simplify (+ 0 1) into 1 1.368 * [backup-simplify]: Simplify (log 1) into 0 1.368 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.368 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 1.368 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 1.368 * [backup-simplify]: Simplify (pow x -1/4) into (pow x -1/4) 1.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.373 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.373 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log x)))) into 0.25 1.374 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow (/ 1 x) 1/4)) 1.375 * [backup-simplify]: Simplify (* 0.25 (pow (/ 1 x) 1/4)) into (* 0.25 (pow (/ 1 x) 1/4)) 1.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.381 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.382 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.125) 1.385 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (pow (/ 1 x) 1/4)) 1.385 * [backup-simplify]: Simplify (* -0.09375 (pow (/ 1 x) 1/4)) into (* -0.09375 (pow (/ 1 x) 1/4)) 1.385 * [backup-simplify]: Simplify (+ (* (* -0.09375 (pow (/ 1 (/ 1 x)) 1/4)) (pow (/ 1 x) 2)) (+ (* (* 0.25 (pow (/ 1 (/ 1 x)) 1/4)) (/ 1 x)) (pow (/ 1 x) -1/4))) into (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) 1.385 * [backup-simplify]: Simplify (sqrt (sqrt (+ (/ 1 (- x)) 1.0))) into (pow (- 1.0 (/ 1 x)) 1/4) 1.385 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.385 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.385 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.385 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.385 * [taylor]: Taking taylor expansion of 1/4 in x 1.385 * [backup-simplify]: Simplify 1/4 into 1/4 1.385 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.385 * [taylor]: Taking taylor expansion of 1.0 in x 1.385 * [backup-simplify]: Simplify 1.0 into 1.0 1.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (/ 1 1) into 1 1.386 * [backup-simplify]: Simplify (- 1) into -1 1.386 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.386 * [backup-simplify]: Simplify (log -1) into (log -1) 1.387 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.387 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 1.387 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 1.387 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.387 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.387 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.388 * [taylor]: Taking taylor expansion of 1/4 in x 1.388 * [backup-simplify]: Simplify 1/4 into 1/4 1.388 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.388 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [backup-simplify]: Simplify 1.0 into 1.0 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (/ 1 1) into 1 1.388 * [backup-simplify]: Simplify (- 1) into -1 1.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.389 * [backup-simplify]: Simplify (log -1) into (log -1) 1.389 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.389 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 1.390 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 1.390 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 1.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.391 * [backup-simplify]: Simplify (- 0) into 0 1.391 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.395 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.395 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.396 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.25) 1.398 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 1.398 * [backup-simplify]: Simplify (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 1.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (- 0) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.405 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 1.405 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.406 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.125) 1.409 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 1.410 * [backup-simplify]: Simplify (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 1.411 * [backup-simplify]: Simplify (+ (* (* -0.09375 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/4 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 1.411 * * * [progress]: simplifying candidates 1.417 * [simplify]: Simplifying: (expm1 (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (log1p (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (+ x 1.0) (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (+ x 1.0) (+ x 1.0)) (+ 1 1) (+ (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0))))) (log (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (exp (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0))))) (* (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (sqrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (- x 1.0)))) (* (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0)))))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (* (sqrt 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(sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ (pow h0 3) (pow h1 3))))) (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (- (* h0 h0) (* h1 h1))))) (* (sqrt (sqrt (+ (pow h0 3) (pow h1 3)))) (sqrt (sqrt (+ h0 h1)))) (* (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ h0 h1)))) (expm1 (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (log1p (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (- (log h0) (log (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (log (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (exp (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (/ (* (* h0 h0) h0) (* (* (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))) (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))))) (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (* (cbrt (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (cbrt (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))))))) (cbrt (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (* (* (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))))) (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (sqrt (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (sqrt (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (- h0) (- (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))))) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))))) (cbrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))))))) (/ (cbrt h0) (cbrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (/ (cbrt h0) (sqrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))))) (/ (sqrt h0) (* (cbrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))))) (cbrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))))))) (/ (sqrt h0) (cbrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (/ (sqrt h0) (sqrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (/ (sqrt h0) (sqrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))))) (/ 1 (* (cbrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))))) (cbrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))))))) (/ h0 (cbrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (/ 1 (sqrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (/ h0 (sqrt (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))))))) (/ 1 1) (/ h0 (+ h1 (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 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h0 h1)))) (* (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (+ h0 h1)))) (sqrt (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))) (sqrt (cbrt (sqrt (+ h0 h1)))) (sqrt (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (sqrt (sqrt (cbrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt 1)) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt 1) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ (pow h0 3) (pow h1 3)))) (sqrt (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- h0 h1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (expm1 (sqrt (sqrt (+ h0 h1)))) (log1p (sqrt (sqrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (exp (sqrt (sqrt (+ h0 h1)))) (* (cbrt (sqrt (sqrt (+ h0 h1)))) (cbrt (sqrt (sqrt (+ h0 h1))))) (cbrt (sqrt (sqrt (+ h0 h1)))) (* (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (+ h0 h1)))) (sqrt (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))) (sqrt (cbrt (sqrt (+ h0 h1)))) (sqrt (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (sqrt (sqrt (cbrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt 1)) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt 1) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ (pow h0 3) (pow h1 3)))) (sqrt (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- h0 h1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (/ h0 (+ (sqrt h1) h1)) (+ (* 1/8 (/ (pow h0 3) (* (pow (sqrt h1) 3) (pow (+ 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(* h5 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) (pow h0 2)))) 1.426 * * [simplify]: iteration 0 : 530 enodes (cost 1344 ) 1.436 * * [simplify]: iteration 1 : 2375 enodes (cost 1172 ) 1.480 * * [simplify]: iteration 2 : 5001 enodes (cost 1120 ) 1.486 * * * [progress]: adding candidates to table 1.792 * * [progress]: iteration 4 / 4 1.792 * * * [progress]: picking best candidate 1.794 * * * * [pick]: Picked # 1.794 * * * [progress]: localizing error 1.804 * * * [progress]: generating rewritten candidates 1.804 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.882 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.914 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 2) 1.928 * * * [progress]: generating series expansions 1.928 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.928 * [backup-simplify]: Simplify (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) into (/ x (+ (sqrt (+ x 1.0)) 1.0)) 1.928 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 1.928 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.928 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.928 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [backup-simplify]: Simplify 1.0 into 1.0 1.929 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.929 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.930 * [backup-simplify]: Simplify (+ 1 0) into 1 1.931 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.931 * [taylor]: Taking taylor expansion of 1.0 in x 1.931 * [backup-simplify]: Simplify 1.0 into 1.0 1.931 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.932 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 1.932 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.932 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.932 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [taylor]: Taking taylor expansion of 1.0 in x 1.932 * [backup-simplify]: Simplify 1.0 into 1.0 1.933 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.933 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.933 * [backup-simplify]: Simplify (+ 1 0) into 1 1.934 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.934 * [taylor]: Taking taylor expansion of 1.0 in x 1.934 * [backup-simplify]: Simplify 1.0 into 1.0 1.935 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.935 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 1.936 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 1.937 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 1.943 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 1.947 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.952 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.968 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 1.977 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 1.989 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (pow x 2)) (* (/ 1 (+ (sqrt 1.0) 1.0)) x))) into (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 1.990 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (/ (sqrt (/ 1 x)) (+ 1.0 (sqrt (+ (/ 1 x) 1.0))))) into (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) 1.990 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.990 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.990 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.990 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.990 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.990 * [taylor]: Taking taylor expansion of 1.0 in x 1.990 * [backup-simplify]: Simplify 1.0 into 1.0 1.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.990 * [backup-simplify]: Simplify (+ 0 1) into 1 1.991 * [backup-simplify]: Simplify (sqrt 0) into 0 1.991 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.991 * [taylor]: Taking taylor expansion of 1.0 in x 1.992 * [backup-simplify]: Simplify 1.0 into 1.0 1.992 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (* 0 0) into 0 1.992 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.993 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.995 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.996 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.997 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 1.998 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 1.998 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.998 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.998 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.998 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [backup-simplify]: Simplify 1.0 into 1.0 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (/ 1 1) into 1 1.999 * [backup-simplify]: Simplify (+ 0 1) into 1 1.999 * [backup-simplify]: Simplify (sqrt 0) into 0 2.000 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.000 * [taylor]: Taking taylor expansion of 1.0 in x 2.000 * [backup-simplify]: Simplify 1.0 into 1.0 2.000 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify (* 0 0) into 0 2.000 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 2.007 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.009 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.009 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 2.011 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 2.012 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 2.012 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.015 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 2.017 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 2.019 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.019 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.022 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 2.025 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 2.028 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.028 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.028 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 x))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 2.029 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- x))) (/ (sqrt (/ 1 (- x))) (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0))))) into (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) 2.029 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 2.029 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.029 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.029 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.029 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.029 * [taylor]: Taking taylor expansion of -1 in x 2.029 * [backup-simplify]: Simplify -1 into -1 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ -1 1) into -1 2.029 * [backup-simplify]: Simplify (sqrt 0) into 0 2.030 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.030 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.030 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.030 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.030 * [taylor]: Taking taylor expansion of 1.0 in x 2.030 * [backup-simplify]: Simplify 1.0 into 1.0 2.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.030 * [taylor]: Taking taylor expansion of x in x 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [backup-simplify]: Simplify (- 1) into -1 2.031 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.031 * [backup-simplify]: Simplify (sqrt 0) into 0 2.032 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.032 * [taylor]: Taking taylor expansion of 1.0 in x 2.032 * [backup-simplify]: Simplify 1.0 into 1.0 2.032 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.032 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 2.033 * [backup-simplify]: Simplify (/ +nan.0 (- +nan.0)) into +nan.0 2.033 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.033 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.033 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.033 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.033 * [taylor]: Taking taylor expansion of -1 in x 2.033 * [backup-simplify]: Simplify -1 into -1 2.033 * [taylor]: Taking taylor expansion of x in x 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (/ -1 1) into -1 2.034 * [backup-simplify]: Simplify (sqrt 0) into 0 2.034 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.034 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.034 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.034 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.034 * [taylor]: Taking taylor expansion of 1.0 in x 2.034 * [backup-simplify]: Simplify 1.0 into 1.0 2.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.034 * [taylor]: Taking taylor expansion of x in x 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [backup-simplify]: Simplify (- 1) into -1 2.035 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.035 * [backup-simplify]: Simplify (sqrt 0) into 0 2.036 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.036 * [taylor]: Taking taylor expansion of 1.0 in x 2.036 * [backup-simplify]: Simplify 1.0 into 1.0 2.036 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 2.036 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 2.037 * [backup-simplify]: Simplify (/ +nan.0 (- +nan.0)) into +nan.0 2.037 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.040 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (- 0) into 0 2.041 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.043 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.043 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 2.046 * [backup-simplify]: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.046 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.050 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (- 0) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.053 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 2.057 * [backup-simplify]: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.057 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.057 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.057 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.058 * [backup-simplify]: Simplify (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) into (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) 2.058 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in (x) around 0 2.058 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 2.058 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.058 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.058 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.058 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [taylor]: Taking taylor expansion of 1.0 in x 2.058 * [backup-simplify]: Simplify 1.0 into 1.0 2.058 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.058 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.059 * [backup-simplify]: Simplify (+ 1 0) into 1 2.059 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.059 * [taylor]: Taking taylor expansion of 1.0 in x 2.059 * [backup-simplify]: Simplify 1.0 into 1.0 2.060 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 2.061 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 2.061 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (sqrt 0) into 0 2.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.062 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 2.062 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.062 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.062 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.062 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.062 * [taylor]: Taking taylor expansion of x in x 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [taylor]: Taking taylor expansion of 1.0 in x 2.062 * [backup-simplify]: Simplify 1.0 into 1.0 2.062 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.062 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.063 * [backup-simplify]: Simplify (+ 1 0) into 1 2.064 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.064 * [taylor]: Taking taylor expansion of 1.0 in x 2.064 * [backup-simplify]: Simplify 1.0 into 1.0 2.064 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 2.065 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 2.065 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.065 * [taylor]: Taking taylor expansion of x in x 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (sqrt 0) into 0 2.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.066 * [backup-simplify]: Simplify (* (/ 1 (+ (sqrt 1.0) 1.0)) 0) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 2.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 2.075 * [backup-simplify]: Simplify (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) +nan.0) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0)) into (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))) 2.077 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))) into (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))) 2.079 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.079 * [backup-simplify]: Simplify (+ 0 0) into 0 2.082 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.084 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 2.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 2.118 * [backup-simplify]: Simplify (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) +nan.0) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) +nan.0) (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))))) 2.124 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))))) 2.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt 1.0)) (/ -1/8 (pow (sqrt 1.0) 3)))))) (* 2 (sqrt 1.0))) into (/ 1/16 (pow (sqrt 1.0) 5)) 2.134 * [backup-simplify]: Simplify (+ (/ 1/16 (pow (sqrt 1.0) 5)) 0) into (* 1/16 (/ 1 (pow (sqrt 1.0) 5))) 2.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 4)))) (+ (* 1/16 (/ 1 (* (pow (sqrt 1.0) 5) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/8 (/ 1 (* (pow (sqrt 1.0) 4) (pow (+ (sqrt 1.0) 1.0) 3))))))) 2.211 * [backup-simplify]: Simplify (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) +nan.0) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) +nan.0) (+ (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) +nan.0) (* (- (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 4)))) (+ (* 1/16 (/ 1 (* (pow (sqrt 1.0) 5) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/8 (/ 1 (* (pow (sqrt 1.0) 4) (pow (+ (sqrt 1.0) 1.0) 3))))))) 0)))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))))))))) 2.235 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))))))))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))))))))) 2.277 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))))))))) (pow x 3)) (+ (* (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))))) (pow x 2)) (* (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))) x))) into (- (+ (* +nan.0 (/ (pow x 2) (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))) (- (+ (* +nan.0 (/ x (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ (pow x 3) (+ (sqrt 1.0) 1.0))) (- (* +nan.0 (/ (pow x 3) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))))))))))))))) 2.277 * [backup-simplify]: Simplify (/ (sqrt (/ 1 x)) (+ 1.0 (sqrt (+ (/ 1 x) 1.0)))) into (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) 2.277 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 2.277 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 2.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 1 into 1 2.278 * [backup-simplify]: Simplify (/ 1 1) into 1 2.278 * [backup-simplify]: Simplify (sqrt 0) into 0 2.279 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.279 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 2.279 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.279 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.279 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.279 * [taylor]: Taking taylor expansion of 1.0 in x 2.279 * [backup-simplify]: Simplify 1.0 into 1.0 2.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.279 * [taylor]: Taking taylor expansion of x in x 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 1 into 1 2.279 * [backup-simplify]: Simplify (/ 1 1) into 1 2.279 * [backup-simplify]: Simplify (+ 0 1) into 1 2.280 * [backup-simplify]: Simplify (sqrt 0) into 0 2.280 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.280 * [taylor]: Taking taylor expansion of 1.0 in x 2.280 * [backup-simplify]: Simplify 1.0 into 1.0 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.281 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 2.281 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 2.281 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 2.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.281 * [taylor]: Taking taylor expansion of x in x 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (/ 1 1) into 1 2.282 * [backup-simplify]: Simplify (sqrt 0) into 0 2.283 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.283 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 2.283 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.283 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.283 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.283 * [taylor]: Taking taylor expansion of 1.0 in x 2.283 * [backup-simplify]: Simplify 1.0 into 1.0 2.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.283 * [taylor]: Taking taylor expansion of x in x 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify 1 into 1 2.283 * [backup-simplify]: Simplify (/ 1 1) into 1 2.283 * [backup-simplify]: Simplify (+ 0 1) into 1 2.283 * [backup-simplify]: Simplify (sqrt 0) into 0 2.284 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.284 * [taylor]: Taking taylor expansion of 1.0 in x 2.284 * [backup-simplify]: Simplify 1.0 into 1.0 2.284 * [backup-simplify]: Simplify (+ 0 0) into 0 2.285 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 2.285 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 2.285 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.286 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.288 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.288 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 2.290 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.291 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 2.291 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.292 * [backup-simplify]: Simplify (+ 0 0) into 0 2.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.294 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 2.297 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.301 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 2.301 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.304 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 2.308 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.314 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 2.314 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.315 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.315 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- x))) (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0)))) into (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) 2.315 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 2.315 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.315 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.315 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.315 * [taylor]: Taking taylor expansion of -1 in x 2.315 * [backup-simplify]: Simplify -1 into -1 2.315 * [taylor]: Taking taylor expansion of x in x 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (/ -1 1) into -1 2.316 * [backup-simplify]: Simplify (sqrt 0) into 0 2.317 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.317 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.317 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.317 * [taylor]: Taking taylor expansion of 1.0 in x 2.317 * [backup-simplify]: Simplify 1.0 into 1.0 2.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.317 * [backup-simplify]: Simplify (/ 1 1) into 1 2.317 * [backup-simplify]: Simplify (- 1) into -1 2.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.318 * [backup-simplify]: Simplify (sqrt 0) into 0 2.318 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.318 * [taylor]: Taking taylor expansion of 1.0 in x 2.318 * [backup-simplify]: Simplify 1.0 into 1.0 2.319 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 2.319 * [backup-simplify]: Simplify (/ +nan.0 (- +nan.0)) into +nan.0 2.319 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.319 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.319 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.319 * [taylor]: Taking taylor expansion of -1 in x 2.319 * [backup-simplify]: Simplify -1 into -1 2.319 * [taylor]: Taking taylor expansion of x in x 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 1 into 1 2.320 * [backup-simplify]: Simplify (/ -1 1) into -1 2.320 * [backup-simplify]: Simplify (sqrt 0) into 0 2.321 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.321 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.321 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.321 * [taylor]: Taking taylor expansion of 1.0 in x 2.321 * [backup-simplify]: Simplify 1.0 into 1.0 2.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 1 into 1 2.321 * [backup-simplify]: Simplify (/ 1 1) into 1 2.321 * [backup-simplify]: Simplify (- 1) into -1 2.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.322 * [backup-simplify]: Simplify (sqrt 0) into 0 2.322 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.323 * [taylor]: Taking taylor expansion of 1.0 in x 2.323 * [backup-simplify]: Simplify 1.0 into 1.0 2.323 * [backup-simplify]: Simplify (+ 0 0) into 0 2.323 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 2.323 * [backup-simplify]: Simplify (/ +nan.0 (- +nan.0)) into +nan.0 2.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (- 0) into 0 2.326 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.328 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.328 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 2.331 * [backup-simplify]: Simplify (- (/ +nan.0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.331 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.334 * [backup-simplify]: Simplify (- 0) into 0 2.334 * [backup-simplify]: Simplify (+ 0 0) into 0 2.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.337 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 2.340 * [backup-simplify]: Simplify (- (/ +nan.0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.340 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.346 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.346 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 2) 2.347 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 2.347 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 2.347 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.347 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.347 * [taylor]: Taking taylor expansion of x in x 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [taylor]: Taking taylor expansion of 1.0 in x 2.347 * [backup-simplify]: Simplify 1.0 into 1.0 2.347 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.347 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.348 * [backup-simplify]: Simplify (+ 1 0) into 1 2.349 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.349 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.349 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.349 * [taylor]: Taking taylor expansion of x in x 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 1 into 1 2.349 * [taylor]: Taking taylor expansion of 1.0 in x 2.349 * [backup-simplify]: Simplify 1.0 into 1.0 2.349 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.349 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.350 * [backup-simplify]: Simplify (+ 1 0) into 1 2.351 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.351 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.351 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 2.352 * [backup-simplify]: Simplify (+ 0 0) into 0 2.355 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.356 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.358 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 2.358 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ 1.0 (/ 1 x))) 2.358 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 2.358 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.358 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.358 * [taylor]: Taking taylor expansion of 1.0 in x 2.358 * [backup-simplify]: Simplify 1.0 into 1.0 2.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (/ 1 1) into 1 2.358 * [backup-simplify]: Simplify (+ 0 1) into 1 2.359 * [backup-simplify]: Simplify (sqrt 0) into 0 2.359 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.359 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.359 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.359 * [taylor]: Taking taylor expansion of 1.0 in x 2.359 * [backup-simplify]: Simplify 1.0 into 1.0 2.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.359 * [taylor]: Taking taylor expansion of x in x 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (/ 1 1) into 1 2.360 * [backup-simplify]: Simplify (+ 0 1) into 1 2.360 * [backup-simplify]: Simplify (sqrt 0) into 0 2.361 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.362 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.364 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.364 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.364 * [backup-simplify]: Simplify (+ 0 0) into 0 2.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.367 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.367 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.367 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 2.367 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 2.367 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.367 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [backup-simplify]: Simplify 1.0 into 1.0 2.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [backup-simplify]: Simplify (/ 1 1) into 1 2.367 * [backup-simplify]: Simplify (- 1) into -1 2.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.368 * [backup-simplify]: Simplify (sqrt 0) into 0 2.369 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.369 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.369 * [taylor]: Taking taylor expansion of 1.0 in x 2.369 * [backup-simplify]: Simplify 1.0 into 1.0 2.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.369 * [taylor]: Taking taylor expansion of x in x 2.369 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify 1 into 1 2.369 * [backup-simplify]: Simplify (/ 1 1) into 1 2.369 * [backup-simplify]: Simplify (- 1) into -1 2.370 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.370 * [backup-simplify]: Simplify (sqrt 0) into 0 2.371 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (- 0) into 0 2.372 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.373 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.373 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.374 * [backup-simplify]: Simplify (- 0) into 0 2.374 * [backup-simplify]: Simplify (+ 0 0) into 0 2.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.376 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.377 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.377 * * * [progress]: simplifying candidates 2.379 * [simplify]: Simplifying: (expm1 (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (+ (log (sqrt x)) (- (log (sqrt x)) (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log (sqrt x)) (log (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (log (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (exp (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ 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(sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (/ h0 (+ (sqrt h1) h1)) (+ (* 1/8 (/ (pow h0 3) (* (pow (sqrt h1) 3) (pow (+ (sqrt h1) h1) 2)))) (* 1/4 (/ (pow h0 3) (* (pow (sqrt h1) 2) (pow (+ (sqrt h1) h1) 3)))))) (* 1/2 (/ (pow h0 2) (* (sqrt h1) (pow (+ (sqrt h1) h1) 2))))) (- (+ h2 (- (+ (* h2 h0) (- (* h2 (/ 1 h0))))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ (pow h0 2) (+ (sqrt h1) h1))) (- (+ (* h2 (/ (pow h0 3) (* (pow (sqrt h1) 3) (pow (+ (sqrt h1) h1) 2)))) (- (+ (* h2 (/ (pow h0 2) (* (sqrt h1) (pow (+ (sqrt h1) h1) 2)))) (- (+ (* h2 (/ (pow h0 3) (* (pow (sqrt h1) 2) (pow (+ (sqrt h1) h1) 3)))) (- (+ (* h2 (/ h0 (+ (sqrt h1) h1))) (- (+ (* h2 (/ (pow h0 3) (+ (sqrt h1) h1))) (- (* h2 (/ (pow h0 3) (* (sqrt h1) (pow (+ (sqrt h1) h1) 2))))))))))))))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) 2.386 * * [simplify]: iteration 0 : 524 enodes (cost 1216 ) 2.396 * * [simplify]: iteration 1 : 2253 enodes (cost 1083 ) 2.434 * * [simplify]: iteration 2 : 5001 enodes (cost 1050 ) 2.439 * * * [progress]: adding candidates to table 2.670 * [progress]: [Phase 3 of 3] Extracting. 2.670 * * [regime]: Finding splitpoints for: (# # #) 2.671 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.671 * * * * [regimes]: Trying to branch on x from (# # #) 2.686 * * * [regime]: Found split indices: #