8.299 * [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 (* x x)) 0.015 * * [simplify]: Extracting # 0 : cost 0 0.015 * * [simplify]: Extracting # 1 : cost 0 0.015 * * [simplify]: Extracting # 2 : cost 0 0.015 * * [simplify]: iteration 0 : 3 enodes (cost 5 ) 0.016 * * [simplify]: Extracting # 0 : cost 0 0.016 * * [simplify]: Extracting # 1 : cost 0 0.016 * * [simplify]: Extracting # 2 : cost 0 0.016 * * [simplify]: Extracting # 3 : cost 0 0.016 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: iteration 2 : 11 enodes (cost 5 ) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: Extracting # 1 : cost 0 0.023 * * [simplify]: Extracting # 2 : cost 0 0.023 * * [simplify]: iteration 3 : 17 enodes (cost 5 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: iteration 4 : 52 enodes (cost 5 ) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: iteration 5 : 146 enodes (cost 5 ) 0.107 * * [simplify]: Extracting # 0 : cost 0 0.108 * * [simplify]: Extracting # 1 : cost 0 0.109 * * [simplify]: Extracting # 2 : cost 0 0.110 * * [simplify]: iteration 6 : 481 enodes (cost 5 ) 0.441 * * [simplify]: Extracting # 0 : cost 0 0.443 * * [simplify]: Extracting # 1 : cost 0 0.447 * * [simplify]: Extracting # 2 : cost 0 0.450 * * [simplify]: iteration 7 : 1671 enodes (cost 5 ) 1.112 * * [simplify]: Extracting # 0 : cost 0 1.122 * * [simplify]: Extracting # 1 : cost 0 1.133 * * [simplify]: Extracting # 2 : cost 0 1.139 * * [simplify]: iteration done: 5000 enodes (cost 5 ) 1.139 * [simplify]: Simplified to: (+ x (* x x)) 1.139 * * [progress]: iteration 1 / 4 1.139 * * * [progress]: picking best candidate 1.141 * * * * [pick]: Picked # 1.141 * * * [progress]: localizing error 1.145 * * * [progress]: generating rewritten candidates 1.146 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.152 * * * [progress]: generating series expansions 1.152 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.152 * [backup-simplify]: Simplify (+ x (* x x)) into (+ (pow x 2) x) 1.152 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 1.152 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 1.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 1.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.153 * [backup-simplify]: Simplify (+ 0 0) into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (+ 0 1) into 1 1.153 * [backup-simplify]: Simplify 1 into 1 1.162 * [backup-simplify]: Simplify (* 1 1) into 1 1.162 * [backup-simplify]: Simplify (+ 1 0) into 1 1.162 * [backup-simplify]: Simplify 1 into 1 1.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.164 * [backup-simplify]: Simplify (+ 0 0) into 0 1.164 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.166 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.169 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.171 * [backup-simplify]: Simplify (+ 0 0) into 0 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 1 x)) into (+ (pow x 2) x) 1.171 * [backup-simplify]: Simplify (+ (/ 1 x) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (/ 1 x)) 1.172 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 1.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 1.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify (* 1 1) into 1 1.172 * [backup-simplify]: Simplify (/ 1 1) into 1 1.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 1 into 1 1.173 * [backup-simplify]: Simplify (/ 1 1) into 1 1.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 1.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 1 into 1 1.173 * [backup-simplify]: Simplify (* 1 1) into 1 1.174 * [backup-simplify]: Simplify (/ 1 1) into 1 1.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 1 into 1 1.174 * [backup-simplify]: Simplify (/ 1 1) into 1 1.175 * [backup-simplify]: Simplify (+ 1 0) into 1 1.175 * [backup-simplify]: Simplify 1 into 1 1.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.177 * [backup-simplify]: Simplify (+ 0 1) into 1 1.177 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.180 * [backup-simplify]: Simplify (+ 0 0) into 0 1.180 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.183 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (+ 0 0) into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.187 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify 0 into 0 1.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.190 * [backup-simplify]: Simplify 0 into 0 1.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.191 * [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 1.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.192 * [backup-simplify]: Simplify (+ 0 0) into 0 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) x) 1.192 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (/ 1 (pow x 2)) (/ 1 x)) 1.192 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 1.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.193 * [backup-simplify]: Simplify (* 1 1) into 1 1.193 * [backup-simplify]: Simplify (/ 1 1) into 1 1.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 1 into 1 1.193 * [backup-simplify]: Simplify (/ 1 1) into 1 1.193 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 1.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 1 into 1 1.193 * [backup-simplify]: Simplify (* 1 1) into 1 1.194 * [backup-simplify]: Simplify (/ 1 1) into 1 1.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify (/ 1 1) into 1 1.194 * [backup-simplify]: Simplify (+ 1 0) into 1 1.194 * [backup-simplify]: Simplify 1 into 1 1.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.195 * [backup-simplify]: Simplify (- 1) into -1 1.196 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.196 * [backup-simplify]: Simplify -1 into -1 1.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.197 * [backup-simplify]: Simplify (- 0) into 0 1.197 * [backup-simplify]: Simplify (+ 0 0) into 0 1.197 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.199 * [backup-simplify]: Simplify (- 0) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.202 * [backup-simplify]: Simplify (- 0) into 0 1.202 * [backup-simplify]: Simplify (+ 0 0) into 0 1.202 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.204 * [backup-simplify]: Simplify (- 0) into 0 1.204 * [backup-simplify]: Simplify (+ 0 0) into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.206 * [backup-simplify]: Simplify (- 0) into 0 1.207 * [backup-simplify]: Simplify (+ 0 0) into 0 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.208 * [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 1.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify (+ 0 0) into 0 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) x) 1.209 * * * [progress]: simplifying candidates 1.210 * [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) 1.210 * * [simplify]: Extracting # 0 : cost 0 1.210 * * [simplify]: Extracting # 1 : cost 0 1.210 * * [simplify]: Extracting # 2 : cost 0 1.210 * * [simplify]: Extracting # 3 : cost 0 1.210 * * [simplify]: Extracting # 4 : cost 0 1.210 * * [simplify]: iteration 0 : 29 enodes (cost 130 ) 1.218 * * [simplify]: Extracting # 0 : cost 0 1.219 * * [simplify]: Extracting # 1 : cost 0 1.219 * * [simplify]: Extracting # 2 : cost 0 1.219 * * [simplify]: Extracting # 3 : cost 0 1.219 * * [simplify]: iteration 1 : 89 enodes (cost 125 ) 1.310 * * [simplify]: Extracting # 0 : cost 0 1.311 * * [simplify]: Extracting # 1 : cost 0 1.312 * * [simplify]: Extracting # 2 : cost 0 1.313 * * [simplify]: Extracting # 3 : cost 0 1.314 * * [simplify]: Extracting # 4 : cost 0 1.315 * * [simplify]: iteration 2 : 514 enodes (cost 107 ) 1.779 * * [simplify]: Extracting # 0 : cost 0 1.789 * * [simplify]: Extracting # 1 : cost 0 1.803 * * [simplify]: Extracting # 2 : cost 0 1.810 * * [simplify]: Extracting # 3 : cost 0 1.816 * * [simplify]: Extracting # 4 : cost 0 1.822 * * [simplify]: iteration done: 5000 enodes (cost 107 ) 1.823 * [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) 1.823 * * * [progress]: adding candidates to table 1.884 * * [progress]: iteration 2 / 4 1.884 * * * [progress]: picking best candidate 1.888 * * * * [pick]: Picked # 1.888 * * * [progress]: localizing error 1.897 * * * [progress]: generating rewritten candidates 1.897 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.925 * * * [progress]: generating series expansions 1.925 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.925 * [backup-simplify]: Simplify (* x (+ 1 x)) into (* x (+ x 1)) 1.925 * [approximate]: Taking taylor expansion of (* x (+ x 1)) in (x) around 0 1.925 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [taylor]: Taking taylor expansion of (+ x 1) in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [taylor]: Taking taylor expansion of 1 in x 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [taylor]: Taking taylor expansion of (* x (+ x 1)) in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [taylor]: Taking taylor expansion of (+ x 1) in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [taylor]: Taking taylor expansion of 1 in x 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (+ 0 1) into 1 1.926 * [backup-simplify]: Simplify (* 0 1) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (+ 1 0) into 1 1.927 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 1 x)) into (+ (pow x 2) x) 1.938 * [backup-simplify]: Simplify (* (/ 1 x) (+ 1 (/ 1 x))) into (/ (+ (/ 1 x) 1) x) 1.938 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in (x) around 0 1.938 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 1.938 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 1.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (/ 1 1) into 1 1.938 * [taylor]: Taking taylor expansion of 1 in x 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (+ 1 0) into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1) x) in x 1.939 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 1.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [taylor]: Taking taylor expansion of 1 in x 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [taylor]: Taking taylor expansion of x in x 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (+ 1 0) into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (+ 0 1) into 1 1.941 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (+ 0 0) into 0 1.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [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 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [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 1.951 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [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 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) x) 1.953 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ 1 (/ 1 (- x)))) into (* -1 (/ (- 1 (/ 1 x)) x)) 1.953 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in (x) around 0 1.953 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 1.953 * [taylor]: Taking taylor expansion of -1 in x 1.953 * [backup-simplify]: Simplify -1 into -1 1.953 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 1.953 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 1.953 * [taylor]: Taking taylor expansion of 1 in x 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.954 * [taylor]: Taking taylor expansion of x in x 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (- 1) into -1 1.955 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.955 * [backup-simplify]: Simplify (/ -1 1) into -1 1.955 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 x)) x)) in x 1.955 * [taylor]: Taking taylor expansion of -1 in x 1.955 * [backup-simplify]: Simplify -1 into -1 1.955 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 x)) x) in x 1.955 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 1.955 * [taylor]: Taking taylor expansion of 1 in x 1.955 * [backup-simplify]: Simplify 1 into 1 1.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (/ 1 1) into 1 1.956 * [taylor]: Taking taylor expansion of x in x 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (- 1) into -1 1.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.957 * [backup-simplify]: Simplify (/ -1 1) into -1 1.958 * [backup-simplify]: Simplify (* -1 -1) into 1 1.958 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (- 0) into 0 1.959 * [backup-simplify]: Simplify (+ 1 0) into 1 1.960 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* -1 (/ 0 1)))) into 1 1.961 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 -1)) into -1 1.961 * [backup-simplify]: Simplify -1 into -1 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (- 0) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 -1))) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (- 0) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (- 0) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- 0) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (- 0) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [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 1.983 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [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 1.984 * [backup-simplify]: Simplify (- 0) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [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 1.988 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) x) 1.988 * * * [progress]: simplifying candidates 1.989 * [simplify]: Simplifying: (* x (+ 1 x)) (+ (log x) (log (+ 1 x))) (log (* x (+ 1 x))) (exp (* x (+ 1 x))) (* (* (* x x) x) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) (* (cbrt (* x (+ 1 x))) (cbrt (* x (+ 1 x)))) (cbrt (* x (+ 1 x))) (* (* (* x (+ 1 x)) (* x (+ 1 x))) (* x (+ 1 x))) (sqrt (* x (+ 1 x))) (sqrt (* x (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) (* x 1) (* x x) (* 1 x) (* x x) (* x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* x (sqrt (+ 1 x))) (* x 1) (* x 1) (* (cbrt x) (+ 1 x)) (* (sqrt x) (+ 1 x)) (* x (+ 1 x)) (* x (+ (pow 1 3) (pow x 3))) (* x (- (* 1 1) (* x x))) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 1.990 * * [simplify]: Extracting # 0 : cost 0 1.990 * * [simplify]: Extracting # 1 : cost 0 1.990 * * [simplify]: Extracting # 2 : cost 0 1.990 * * [simplify]: Extracting # 3 : cost 0 1.990 * * [simplify]: Extracting # 4 : cost 0 1.990 * * [simplify]: Extracting # 5 : cost 0 1.991 * * [simplify]: iteration 0 : 42 enodes (cost 188 ) 2.016 * * [simplify]: Extracting # 0 : cost 0 2.017 * * [simplify]: Extracting # 1 : cost 0 2.017 * * [simplify]: Extracting # 2 : cost 0 2.017 * * [simplify]: Extracting # 3 : cost 0 2.017 * * [simplify]: iteration 1 : 139 enodes (cost 173 ) 2.132 * * [simplify]: Extracting # 0 : cost 0 2.134 * * [simplify]: Extracting # 1 : cost 0 2.136 * * [simplify]: Extracting # 2 : cost 0 2.137 * * [simplify]: Extracting # 3 : cost 0 2.139 * * [simplify]: iteration 2 : 751 enodes (cost 157 ) 2.564 * * [simplify]: Extracting # 0 : cost 0 2.577 * * [simplify]: Extracting # 1 : cost 0 2.593 * * [simplify]: Extracting # 2 : cost 0 2.607 * * [simplify]: Extracting # 3 : cost 0 2.631 * * [simplify]: Extracting # 4 : cost 0 2.645 * * [simplify]: iteration done: 5000 enodes (cost 157 ) 2.646 * [simplify]: Simplified to: (* x (+ 1 x)) (log (* x (+ 1 x))) (log (* x (+ 1 x))) (exp (* x (+ 1 x))) (* (pow (+ 1 x) 3) (pow x 3)) (* (cbrt (* x (+ 1 x))) (cbrt (* x (+ 1 x)))) (cbrt (* x (+ 1 x))) (pow (* x (+ 1 x)) 3) (sqrt (* x (+ 1 x))) (sqrt (* x (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) (* (sqrt x) (sqrt (+ 1 x))) x (* x x) x (* x x) (* x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* x (sqrt (+ 1 x))) x x (* (cbrt x) (+ 1 x)) (* (sqrt x) (+ 1 x)) (* x (+ 1 x)) (* (+ 1 (pow x 3)) x) (* x (- 1 (pow x 2))) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 2.646 * * * [progress]: adding candidates to table 2.726 * [progress]: [Phase 3 of 3] Extracting. 2.726 * * [regime]: Finding splitpoints for: (# #) 2.726 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (* x x)) x) 2.726 * * * * [regimes]: Trying to branch on (+ x (* x x)) from (# #) 2.752 * * * * [regimes]: Trying to branch on x from (# #) 2.778 * * * [regime]: Found split indices: #