6.142 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (+ x (* x x)) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: iteration 0 : 3 enodes (cost 5 ) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: Extracting # 1 : cost 0 0.025 * * [simplify]: Extracting # 2 : cost 0 0.025 * * [simplify]: Extracting # 3 : cost 0 0.025 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: iteration 2 : 11 enodes (cost 5 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: iteration 3 : 17 enodes (cost 5 ) 0.038 * * [simplify]: Extracting # 0 : cost 0 0.038 * * [simplify]: Extracting # 1 : cost 0 0.038 * * [simplify]: Extracting # 2 : cost 0 0.038 * * [simplify]: iteration 4 : 52 enodes (cost 5 ) 0.054 * * [simplify]: Extracting # 0 : cost 0 0.055 * * [simplify]: Extracting # 1 : cost 0 0.055 * * [simplify]: Extracting # 2 : cost 0 0.055 * * [simplify]: iteration 5 : 146 enodes (cost 5 ) 0.111 * * [simplify]: Extracting # 0 : cost 0 0.112 * * [simplify]: Extracting # 1 : cost 0 0.113 * * [simplify]: Extracting # 2 : cost 0 0.114 * * [simplify]: iteration 6 : 481 enodes (cost 5 ) 0.392 * * [simplify]: Extracting # 0 : cost 0 0.394 * * [simplify]: Extracting # 1 : cost 0 0.396 * * [simplify]: Extracting # 2 : cost 0 0.398 * * [simplify]: iteration 7 : 1671 enodes (cost 5 ) 1.055 * * [simplify]: Extracting # 0 : cost 0 1.066 * * [simplify]: Extracting # 1 : cost 0 1.078 * * [simplify]: Extracting # 2 : cost 0 1.097 * * [simplify]: iteration done: 5000 enodes (cost 5 ) 1.098 * [simplify]: Simplified to: (+ x (* x x)) 1.098 * * [progress]: iteration 1 / 4 1.098 * * * [progress]: picking best candidate 1.100 * * * * [pick]: Picked # 1.100 * * * [progress]: localizing error 1.107 * * * [progress]: generating rewritten candidates 1.107 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.120 * * * [progress]: generating series expansions 1.120 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.120 * [backup-simplify]: Simplify (+ x (* x x)) into (+ (pow x 2) x) 1.120 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 1.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 1.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 1.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.121 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify (+ 0 1) into 1 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [backup-simplify]: Simplify (* 1 1) into 1 1.122 * [backup-simplify]: Simplify (+ 1 0) into 1 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.122 * [backup-simplify]: Simplify (+ 0 0) into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.123 * [backup-simplify]: Simplify (+ 0 0) into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (+ 0 0) into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.125 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.127 * [backup-simplify]: Simplify (+ 0 0) into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 1 x)) into (+ (pow x 2) x) 1.128 * [backup-simplify]: Simplify (+ (/ 1 x) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (/ 1 x)) 1.128 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 1.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (* 1 1) into 1 1.128 * [backup-simplify]: Simplify (/ 1 1) into 1 1.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 1 into 1 1.129 * [backup-simplify]: Simplify (/ 1 1) into 1 1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 1 into 1 1.129 * [backup-simplify]: Simplify (* 1 1) into 1 1.129 * [backup-simplify]: Simplify (/ 1 1) into 1 1.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (/ 1 1) into 1 1.130 * [backup-simplify]: Simplify (+ 1 0) into 1 1.130 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.132 * [backup-simplify]: Simplify (+ 0 1) into 1 1.132 * [backup-simplify]: Simplify 1 into 1 1.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.134 * [backup-simplify]: Simplify (+ 0 0) into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.137 * [backup-simplify]: Simplify (+ 0 0) into 0 1.137 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.142 * [backup-simplify]: Simplify (+ 0 0) into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.144 * [backup-simplify]: Simplify (+ 0 0) into 0 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) x) 1.144 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (/ 1 (pow x 2)) (/ 1 x)) 1.144 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 1.144 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [backup-simplify]: Simplify (* 1 1) into 1 1.145 * [backup-simplify]: Simplify (/ 1 1) into 1 1.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (/ 1 1) into 1 1.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 1.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (* 1 1) into 1 1.146 * [backup-simplify]: Simplify (/ 1 1) into 1 1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 1 into 1 1.147 * [backup-simplify]: Simplify (/ 1 1) into 1 1.147 * [backup-simplify]: Simplify (+ 1 0) into 1 1.147 * [backup-simplify]: Simplify 1 into 1 1.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.148 * [backup-simplify]: Simplify (- 1) into -1 1.148 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.148 * [backup-simplify]: Simplify -1 into -1 1.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.150 * [backup-simplify]: Simplify (- 0) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.152 * [backup-simplify]: Simplify (- 0) into 0 1.153 * [backup-simplify]: Simplify (+ 0 0) into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.155 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (- 0) into 0 1.159 * [backup-simplify]: Simplify (+ 0 0) into 0 1.159 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (- 0) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (- 0) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.167 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) x) 1.168 * * * [progress]: simplifying candidates 1.168 * [simplify]: Simplifying: (* (exp x) (exp (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 3) (pow (* x x) 3)) (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))) (- (* x x) (* (* x x) (* x x))) (- x (* x x)) (+ 1 x) (+ x 1) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 1.169 * * [simplify]: Extracting # 0 : cost 0 1.169 * * [simplify]: Extracting # 1 : cost 0 1.169 * * [simplify]: Extracting # 2 : cost 0 1.169 * * [simplify]: Extracting # 3 : cost 0 1.169 * * [simplify]: Extracting # 4 : cost 0 1.169 * * [simplify]: iteration 0 : 29 enodes (cost 130 ) 1.181 * * [simplify]: Extracting # 0 : cost 0 1.181 * * [simplify]: Extracting # 1 : cost 0 1.181 * * [simplify]: Extracting # 2 : cost 0 1.181 * * [simplify]: Extracting # 3 : cost 0 1.181 * * [simplify]: iteration 1 : 89 enodes (cost 125 ) 1.234 * * [simplify]: Extracting # 0 : cost 0 1.234 * * [simplify]: Extracting # 1 : cost 0 1.235 * * [simplify]: Extracting # 2 : cost 0 1.236 * * [simplify]: Extracting # 3 : cost 0 1.236 * * [simplify]: Extracting # 4 : cost 0 1.237 * * [simplify]: iteration 2 : 514 enodes (cost 107 ) 1.530 * * [simplify]: Extracting # 0 : cost 0 1.539 * * [simplify]: Extracting # 1 : cost 0 1.553 * * [simplify]: Extracting # 2 : cost 0 1.567 * * [simplify]: Extracting # 3 : cost 0 1.580 * * [simplify]: Extracting # 4 : cost 0 1.599 * * [simplify]: iteration done: 5000 enodes (cost 107 ) 1.599 * [simplify]: Simplified to: (exp (+ x (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (pow (+ x (* x x)) 3) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 6) (pow x 3)) (+ (- (pow x 4) (pow x 3)) (* x x)) (- (* x x) (pow x 4)) (- x (* x x)) (+ 1 x) (+ 1 x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 1.599 * * * [progress]: adding candidates to table 1.653 * * [progress]: iteration 2 / 4 1.653 * * * [progress]: picking best candidate 1.655 * * * * [pick]: Picked # 1.655 * * * [progress]: localizing error 1.662 * * * [progress]: generating rewritten candidates 1.662 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.694 * * * [progress]: generating series expansions 1.694 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.694 * [backup-simplify]: Simplify (* (+ 1 x) x) into (* x (+ x 1)) 1.694 * [approximate]: Taking taylor expansion of (* x (+ x 1)) in (x) around 0 1.694 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [taylor]: Taking taylor expansion of (+ x 1) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [taylor]: Taking taylor expansion of 1 in x 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [taylor]: Taking taylor expansion of (+ x 1) in x 1.694 * [taylor]: Taking taylor expansion of x in x 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [taylor]: Taking taylor expansion of 1 in x 1.694 * [backup-simplify]: Simplify 1 into 1 1.695 * [backup-simplify]: Simplify (+ 0 1) into 1 1.695 * [backup-simplify]: Simplify (* 0 1) into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify (+ 1 0) into 1 1.696 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (+ 0 0) into 0 1.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (+ 0 0) into 0 1.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1.704 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 1 x)) into (+ (pow x 2) x) 1.705 * [backup-simplify]: Simplify (* (+ 1 (/ 1 x)) (/ 1 x)) into (/ (+ (/ 1 x) 1) x) 1.705 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in (x) around 0 1.705 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 1.705 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 1.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (/ 1 1) into 1 1.706 * [taylor]: Taking taylor expansion of 1 in x 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [taylor]: Taking taylor expansion of x in x 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify (+ 1 0) into 1 1.707 * [backup-simplify]: Simplify (/ 1 1) into 1 1.707 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 1.707 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 1.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (/ 1 1) into 1 1.708 * [taylor]: Taking taylor expansion of 1 in x 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [taylor]: Taking taylor expansion of x in x 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (+ 1 0) into 1 1.709 * [backup-simplify]: Simplify (/ 1 1) into 1 1.709 * [backup-simplify]: Simplify 1 into 1 1.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (+ 0 1) into 1 1.711 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.711 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (+ 0 0) into 0 1.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.715 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.716 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) x) 1.726 * [backup-simplify]: Simplify (* (+ 1 (/ 1 (- x))) (/ 1 (- x))) into (* -1 (/ (- 1 (/ 1 x)) x)) 1.727 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in (x) around 0 1.727 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 1.727 * [taylor]: Taking taylor expansion of -1 in x 1.727 * [backup-simplify]: Simplify -1 into -1 1.727 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 1.727 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 1.727 * [taylor]: Taking taylor expansion of 1 in x 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify (/ 1 1) into 1 1.727 * [taylor]: Taking taylor expansion of x in x 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.728 * [backup-simplify]: Simplify (- 1) into -1 1.728 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.729 * [backup-simplify]: Simplify (/ -1 1) into -1 1.729 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 1.729 * [taylor]: Taking taylor expansion of -1 in x 1.729 * [backup-simplify]: Simplify -1 into -1 1.729 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 1.729 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 1.729 * [taylor]: Taking taylor expansion of 1 in x 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (/ 1 1) into 1 1.729 * [taylor]: Taking taylor expansion of x in x 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (- 1) into -1 1.730 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.731 * [backup-simplify]: Simplify (/ -1 1) into -1 1.731 * [backup-simplify]: Simplify (* -1 -1) into 1 1.731 * [backup-simplify]: Simplify 1 into 1 1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify (- 0) into 0 1.733 * [backup-simplify]: Simplify (+ 1 0) into 1 1.734 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1.735 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 1.735 * [backup-simplify]: Simplify -1 into -1 1.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.736 * [backup-simplify]: Simplify (- 0) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (- 0) into 0 1.740 * [backup-simplify]: Simplify (+ 0 0) into 0 1.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.743 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (- 0) into 0 1.744 * [backup-simplify]: Simplify (+ 0 0) into 0 1.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (- 0) into 0 1.746 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (- 0) into 0 1.749 * [backup-simplify]: Simplify (+ 0 0) into 0 1.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (- 0) into 0 1.752 * [backup-simplify]: Simplify (+ 0 0) into 0 1.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) x) 1.754 * * * [progress]: simplifying candidates 1.754 * [simplify]: Simplifying: (* (+ 1 x) x) (+ (log (+ 1 x)) (log x)) (log (* (+ 1 x) x)) (exp (* (+ 1 x) x)) (* (* (* (+ 1 x) (+ 1 x)) (+ 1 x)) (* (* x x) x)) (* (cbrt (* (+ 1 x) x)) (cbrt (* (+ 1 x) x))) (cbrt (* (+ 1 x) x)) (* (* (* (+ 1 x) x) (* (+ 1 x) x)) (* (+ 1 x) x)) (sqrt (* (+ 1 x) x)) (sqrt (* (+ 1 x) x)) (* (sqrt (+ 1 x)) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)) (* (+ 1 x) (* (cbrt x) (cbrt x))) (* (+ 1 x) (sqrt x)) (* (+ 1 x) 1) (* (cbrt (+ 1 x)) x) (* (sqrt (+ 1 x)) x) (* (+ 1 x) x) (* (+ 1 x) x) (* (+ (pow 1 3) (pow x 3)) x) (* (- (* 1 1) (* x x)) x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 1.755 * * [simplify]: Extracting # 0 : cost 0 1.755 * * [simplify]: Extracting # 1 : cost 0 1.755 * * [simplify]: Extracting # 2 : cost 0 1.755 * * [simplify]: Extracting # 3 : cost 0 1.755 * * [simplify]: Extracting # 4 : cost 0 1.755 * * [simplify]: Extracting # 5 : cost 0 1.755 * * [simplify]: iteration 0 : 41 enodes (cost 178 ) 1.765 * * [simplify]: Extracting # 0 : cost 0 1.765 * * [simplify]: Extracting # 1 : cost 0 1.765 * * [simplify]: Extracting # 2 : cost 0 1.765 * * [simplify]: Extracting # 3 : cost 0 1.765 * * [simplify]: Extracting # 4 : cost 0 1.765 * * [simplify]: iteration 1 : 111 enodes (cost 169 ) 1.848 * * [simplify]: Extracting # 0 : cost 0 1.850 * * [simplify]: Extracting # 1 : cost 0 1.851 * * [simplify]: Extracting # 2 : cost 0 1.853 * * [simplify]: Extracting # 3 : cost 0 1.854 * * [simplify]: Extracting # 4 : cost 0 1.856 * * [simplify]: iteration 2 : 728 enodes (cost 151 ) 2.318 * * [simplify]: Extracting # 0 : cost 0 2.357 * * [simplify]: Extracting # 1 : cost 0 2.365 * * [simplify]: Extracting # 2 : cost 0 2.371 * * [simplify]: Extracting # 3 : cost 0 2.377 * * [simplify]: Extracting # 4 : cost 0 2.384 * * [simplify]: iteration done: 5000 enodes (cost 151 ) 2.384 * [simplify]: Simplified to: (* x (+ 1 x)) (log (* (+ 1 x) x)) (log (* (+ 1 x) x)) (exp (* (+ 1 x) x)) (pow (* (+ 1 x) x) 3) (* (cbrt (* (+ 1 x) x)) (cbrt (* (+ 1 x) x))) (cbrt (* (+ 1 x) x)) (pow (* (+ 1 x) x) 3) (sqrt (* (+ 1 x) x)) (sqrt (* (+ 1 x) x)) (* (sqrt (+ 1 x)) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)) (* (* (cbrt x) (cbrt x)) (+ 1 x)) (* (sqrt x) (+ 1 x)) (+ 1 x) (* (cbrt (+ 1 x)) x) (* (sqrt (+ 1 x)) x) (* x (+ 1 x)) (* x (+ 1 x)) (* x (+ 1 (pow x 3))) (* (- 1 (pow x 2)) x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 2.384 * * * [progress]: adding candidates to table 2.438 * [progress]: [Phase 3 of 3] Extracting. 2.438 * * [regime]: Finding splitpoints for: (# #) 2.438 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (* x x)) x) 2.438 * * * * [regimes]: Trying to branch on (+ x (* x x)) from (# #) 2.447 * * * * [regimes]: Trying to branch on x from (# #) 2.459 * * * [regime]: Found split indices: #