74.435 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.146 * * * [progress]: [2/2] Setting up program. 0.149 * [progress]: [Phase 2 of 3] Improving. 0.149 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.149 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1)))) 0.149 * * [simplify]: iteration 1: (7 enodes) 0.151 * * [simplify]: iteration 2: (17 enodes) 0.153 * * [simplify]: iteration 3: (21 enodes) 0.156 * * [simplify]: iteration 4: (37 enodes) 0.165 * * [simplify]: iteration 5: (68 enodes) 0.184 * * [simplify]: iteration 6: (119 enodes) 0.239 * * [simplify]: iteration 7: (246 enodes) 0.391 * * [simplify]: iteration 8: (464 enodes) 1.624 * * [simplify]: iteration 9: (1321 enodes) 9.952 * * [simplify]: Extracting #0: cost 1 inf + 0 9.952 * * [simplify]: Extracting #1: cost 2 inf + 0 9.952 * * [simplify]: Extracting #2: cost 4 inf + 0 9.952 * * [simplify]: Extracting #3: cost 4 inf + 1 9.953 * * [simplify]: Extracting #4: cost 227 inf + 1 9.958 * * [simplify]: Extracting #5: cost 602 inf + 11897 9.983 * * [simplify]: Extracting #6: cost 101 inf + 92531 10.021 * * [simplify]: Extracting #7: cost 1 inf + 102719 10.083 * * [simplify]: Extracting #8: cost 0 inf + 102569 10.112 * [simplify]: Simplified to: (log (+ x (sqrt (fma x x -1)))) 10.124 * * [progress]: iteration 1 / 4 10.124 * * * [progress]: picking best candidate 10.127 * * * * [pick]: Picked # 10.127 * * * [progress]: localizing error 10.139 * * * [progress]: generating rewritten candidates 10.139 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 10.141 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 10.146 * * * [progress]: generating series expansions 10.146 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 10.146 * [backup-simplify]: Simplify (sqrt (fma x x -1)) into (sqrt (fma x x -1)) 10.146 * [approximate]: Taking taylor expansion of (sqrt (fma x x -1)) in (x) around 0 10.146 * [taylor]: Taking taylor expansion of (sqrt (fma x x -1)) in x 10.146 * [taylor]: Taking taylor expansion of (fma x x -1) in x 10.146 * [taylor]: Rewrote expression to (+ (* x x) -1) 10.146 * [taylor]: Taking taylor expansion of (* x x) in x 10.146 * [taylor]: Taking taylor expansion of x in x 10.146 * [backup-simplify]: Simplify 0 into 0 10.146 * [backup-simplify]: Simplify 1 into 1 10.146 * [taylor]: Taking taylor expansion of x in x 10.146 * [backup-simplify]: Simplify 0 into 0 10.146 * [backup-simplify]: Simplify 1 into 1 10.146 * [taylor]: Taking taylor expansion of -1 in x 10.146 * [backup-simplify]: Simplify -1 into -1 10.147 * [backup-simplify]: Simplify (* 0 0) into 0 10.147 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.147 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 10.148 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.148 * [backup-simplify]: Simplify (+ 0 0) into 0 10.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 10.148 * [taylor]: Taking taylor expansion of (sqrt (fma x x -1)) in x 10.148 * [taylor]: Taking taylor expansion of (fma x x -1) in x 10.148 * [taylor]: Rewrote expression to (+ (* x x) -1) 10.148 * [taylor]: Taking taylor expansion of (* x x) in x 10.148 * [taylor]: Taking taylor expansion of x in x 10.148 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 1 into 1 10.149 * [taylor]: Taking taylor expansion of x in x 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 1 into 1 10.149 * [taylor]: Taking taylor expansion of -1 in x 10.149 * [backup-simplify]: Simplify -1 into -1 10.149 * [backup-simplify]: Simplify (* 0 0) into 0 10.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.149 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 10.150 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.150 * [backup-simplify]: Simplify (+ 0 0) into 0 10.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 10.151 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 10.151 * [backup-simplify]: Simplify 0 into 0 10.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.152 * [backup-simplify]: Simplify (+ 1 0) into 1 10.153 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 10.154 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 10.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.155 * [backup-simplify]: Simplify (+ 0 0) into 0 10.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.157 * [backup-simplify]: Simplify (+ 0 0) into 0 10.160 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 10.160 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 10.163 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 10.163 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) -1)) into (sqrt (fma (/ 1 x) (/ 1 x) -1)) 10.163 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in (x) around 0 10.163 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in x 10.163 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) -1) in x 10.164 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) -1) 10.164 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.164 * [taylor]: Taking taylor expansion of x in x 10.164 * [backup-simplify]: Simplify 0 into 0 10.164 * [backup-simplify]: Simplify 1 into 1 10.164 * [backup-simplify]: Simplify (/ 1 1) into 1 10.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.164 * [taylor]: Taking taylor expansion of x in x 10.164 * [backup-simplify]: Simplify 0 into 0 10.164 * [backup-simplify]: Simplify 1 into 1 10.164 * [backup-simplify]: Simplify (/ 1 1) into 1 10.164 * [taylor]: Taking taylor expansion of -1 in x 10.165 * [backup-simplify]: Simplify -1 into -1 10.165 * [backup-simplify]: Simplify (* 1 1) into 1 10.165 * [backup-simplify]: Simplify (+ 1 0) into 1 10.166 * [backup-simplify]: Simplify (sqrt 1) into 1 10.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.169 * [backup-simplify]: Simplify (+ 0 0) into 0 10.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.169 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in x 10.169 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) -1) in x 10.169 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) -1) 10.169 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.169 * [taylor]: Taking taylor expansion of x in x 10.169 * [backup-simplify]: Simplify 0 into 0 10.169 * [backup-simplify]: Simplify 1 into 1 10.170 * [backup-simplify]: Simplify (/ 1 1) into 1 10.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.170 * [taylor]: Taking taylor expansion of x in x 10.170 * [backup-simplify]: Simplify 0 into 0 10.170 * [backup-simplify]: Simplify 1 into 1 10.170 * [backup-simplify]: Simplify (/ 1 1) into 1 10.170 * [taylor]: Taking taylor expansion of -1 in x 10.170 * [backup-simplify]: Simplify -1 into -1 10.171 * [backup-simplify]: Simplify (* 1 1) into 1 10.171 * [backup-simplify]: Simplify (+ 1 0) into 1 10.171 * [backup-simplify]: Simplify (sqrt 1) into 1 10.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.174 * [backup-simplify]: Simplify (+ 0 0) into 0 10.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.174 * [backup-simplify]: Simplify 1 into 1 10.174 * [backup-simplify]: Simplify 0 into 0 10.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.177 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 10.177 * [backup-simplify]: Simplify -1/2 into -1/2 10.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.179 * [backup-simplify]: Simplify (+ 0 0) into 0 10.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 10.180 * [backup-simplify]: Simplify 0 into 0 10.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.182 * [backup-simplify]: Simplify (+ 0 0) into 0 10.183 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.183 * [backup-simplify]: Simplify -1/8 into -1/8 10.183 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 10.183 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) -1)) into (sqrt (fma (/ -1 x) (/ -1 x) -1)) 10.183 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in (x) around 0 10.183 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in x 10.183 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) -1) in x 10.183 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) -1) 10.183 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.183 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.183 * [taylor]: Taking taylor expansion of -1 in x 10.183 * [backup-simplify]: Simplify -1 into -1 10.183 * [taylor]: Taking taylor expansion of x in x 10.183 * [backup-simplify]: Simplify 0 into 0 10.183 * [backup-simplify]: Simplify 1 into 1 10.184 * [backup-simplify]: Simplify (/ -1 1) into -1 10.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.184 * [taylor]: Taking taylor expansion of -1 in x 10.184 * [backup-simplify]: Simplify -1 into -1 10.184 * [taylor]: Taking taylor expansion of x in x 10.184 * [backup-simplify]: Simplify 0 into 0 10.184 * [backup-simplify]: Simplify 1 into 1 10.184 * [backup-simplify]: Simplify (/ -1 1) into -1 10.184 * [taylor]: Taking taylor expansion of -1 in x 10.184 * [backup-simplify]: Simplify -1 into -1 10.184 * [backup-simplify]: Simplify (* -1 -1) into 1 10.185 * [backup-simplify]: Simplify (+ 1 0) into 1 10.185 * [backup-simplify]: Simplify (sqrt 1) into 1 10.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.186 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.186 * [backup-simplify]: Simplify (+ 0 0) into 0 10.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.187 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in x 10.187 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) -1) in x 10.187 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) -1) 10.187 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.187 * [taylor]: Taking taylor expansion of -1 in x 10.187 * [backup-simplify]: Simplify -1 into -1 10.187 * [taylor]: Taking taylor expansion of x in x 10.187 * [backup-simplify]: Simplify 0 into 0 10.187 * [backup-simplify]: Simplify 1 into 1 10.187 * [backup-simplify]: Simplify (/ -1 1) into -1 10.187 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.187 * [taylor]: Taking taylor expansion of -1 in x 10.187 * [backup-simplify]: Simplify -1 into -1 10.187 * [taylor]: Taking taylor expansion of x in x 10.187 * [backup-simplify]: Simplify 0 into 0 10.187 * [backup-simplify]: Simplify 1 into 1 10.188 * [backup-simplify]: Simplify (/ -1 1) into -1 10.188 * [taylor]: Taking taylor expansion of -1 in x 10.188 * [backup-simplify]: Simplify -1 into -1 10.188 * [backup-simplify]: Simplify (* -1 -1) into 1 10.188 * [backup-simplify]: Simplify (+ 1 0) into 1 10.189 * [backup-simplify]: Simplify (sqrt 1) into 1 10.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.190 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.190 * [backup-simplify]: Simplify (+ 0 0) into 0 10.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.191 * [backup-simplify]: Simplify 1 into 1 10.191 * [backup-simplify]: Simplify 0 into 0 10.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.192 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.193 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.193 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 10.193 * [backup-simplify]: Simplify -1/2 into -1/2 10.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.195 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 10.195 * [backup-simplify]: Simplify (+ 0 0) into 0 10.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 10.196 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.198 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 10.198 * [backup-simplify]: Simplify (+ 0 0) into 0 10.199 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.199 * [backup-simplify]: Simplify -1/8 into -1/8 10.199 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) 10.199 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 10.199 * [backup-simplify]: Simplify (+ x (sqrt (fma x x -1))) into (+ x (sqrt (fma x x -1))) 10.200 * [approximate]: Taking taylor expansion of (+ x (sqrt (fma x x -1))) in (x) around 0 10.200 * [taylor]: Taking taylor expansion of (+ x (sqrt (fma x x -1))) in x 10.200 * [taylor]: Taking taylor expansion of x in x 10.200 * [backup-simplify]: Simplify 0 into 0 10.200 * [backup-simplify]: Simplify 1 into 1 10.200 * [taylor]: Taking taylor expansion of (sqrt (fma x x -1)) in x 10.200 * [taylor]: Taking taylor expansion of (fma x x -1) in x 10.200 * [taylor]: Rewrote expression to (+ (* x x) -1) 10.200 * [taylor]: Taking taylor expansion of (* x x) in x 10.200 * [taylor]: Taking taylor expansion of x in x 10.200 * [backup-simplify]: Simplify 0 into 0 10.200 * [backup-simplify]: Simplify 1 into 1 10.200 * [taylor]: Taking taylor expansion of x in x 10.200 * [backup-simplify]: Simplify 0 into 0 10.200 * [backup-simplify]: Simplify 1 into 1 10.200 * [taylor]: Taking taylor expansion of -1 in x 10.200 * [backup-simplify]: Simplify -1 into -1 10.200 * [backup-simplify]: Simplify (* 0 0) into 0 10.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.201 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 10.201 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.201 * [backup-simplify]: Simplify (+ 0 0) into 0 10.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 10.206 * [taylor]: Taking taylor expansion of (+ x (sqrt (fma x x -1))) in x 10.206 * [taylor]: Taking taylor expansion of x in x 10.206 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify 1 into 1 10.206 * [taylor]: Taking taylor expansion of (sqrt (fma x x -1)) in x 10.206 * [taylor]: Taking taylor expansion of (fma x x -1) in x 10.206 * [taylor]: Rewrote expression to (+ (* x x) -1) 10.206 * [taylor]: Taking taylor expansion of (* x x) in x 10.206 * [taylor]: Taking taylor expansion of x in x 10.206 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify 1 into 1 10.206 * [taylor]: Taking taylor expansion of x in x 10.206 * [backup-simplify]: Simplify 0 into 0 10.206 * [backup-simplify]: Simplify 1 into 1 10.206 * [taylor]: Taking taylor expansion of -1 in x 10.206 * [backup-simplify]: Simplify -1 into -1 10.207 * [backup-simplify]: Simplify (* 0 0) into 0 10.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.207 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 10.208 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.209 * [backup-simplify]: Simplify (+ 0 0) into 0 10.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 10.210 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 10.211 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 10.211 * [backup-simplify]: Simplify (+ 1 0) into 1 10.211 * [backup-simplify]: Simplify 1 into 1 10.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.213 * [backup-simplify]: Simplify (+ 1 0) into 1 10.215 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 10.217 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 10.219 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 10.221 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 10.221 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (fma (/ 1 x) (/ 1 x) -1))) into (+ (sqrt (fma (/ 1 x) (/ 1 x) -1)) (/ 1 x)) 10.221 * [approximate]: Taking taylor expansion of (+ (sqrt (fma (/ 1 x) (/ 1 x) -1)) (/ 1 x)) in (x) around 0 10.221 * [taylor]: Taking taylor expansion of (+ (sqrt (fma (/ 1 x) (/ 1 x) -1)) (/ 1 x)) in x 10.221 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in x 10.221 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) -1) in x 10.221 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) -1) 10.221 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.221 * [taylor]: Taking taylor expansion of x in x 10.221 * [backup-simplify]: Simplify 0 into 0 10.221 * [backup-simplify]: Simplify 1 into 1 10.222 * [backup-simplify]: Simplify (/ 1 1) into 1 10.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.222 * [taylor]: Taking taylor expansion of x in x 10.222 * [backup-simplify]: Simplify 0 into 0 10.222 * [backup-simplify]: Simplify 1 into 1 10.222 * [backup-simplify]: Simplify (/ 1 1) into 1 10.222 * [taylor]: Taking taylor expansion of -1 in x 10.222 * [backup-simplify]: Simplify -1 into -1 10.223 * [backup-simplify]: Simplify (* 1 1) into 1 10.223 * [backup-simplify]: Simplify (+ 1 0) into 1 10.224 * [backup-simplify]: Simplify (sqrt 1) into 1 10.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.226 * [backup-simplify]: Simplify (+ 0 0) into 0 10.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.227 * [taylor]: Taking taylor expansion of x in x 10.227 * [backup-simplify]: Simplify 0 into 0 10.227 * [backup-simplify]: Simplify 1 into 1 10.227 * [backup-simplify]: Simplify (/ 1 1) into 1 10.227 * [taylor]: Taking taylor expansion of (+ (sqrt (fma (/ 1 x) (/ 1 x) -1)) (/ 1 x)) in x 10.228 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in x 10.228 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) -1) in x 10.228 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) -1) 10.228 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 10.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.228 * [taylor]: Taking taylor expansion of x in x 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify 1 into 1 10.228 * [backup-simplify]: Simplify (/ 1 1) into 1 10.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.228 * [taylor]: Taking taylor expansion of x in x 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify 1 into 1 10.229 * [backup-simplify]: Simplify (/ 1 1) into 1 10.229 * [taylor]: Taking taylor expansion of -1 in x 10.229 * [backup-simplify]: Simplify -1 into -1 10.229 * [backup-simplify]: Simplify (* 1 1) into 1 10.230 * [backup-simplify]: Simplify (+ 1 0) into 1 10.230 * [backup-simplify]: Simplify (sqrt 1) into 1 10.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.233 * [backup-simplify]: Simplify (+ 0 0) into 0 10.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.234 * [taylor]: Taking taylor expansion of x in x 10.234 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify 1 into 1 10.235 * [backup-simplify]: Simplify (/ 1 1) into 1 10.235 * [backup-simplify]: Simplify (+ 1 1) into 2 10.235 * [backup-simplify]: Simplify 2 into 2 10.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.236 * [backup-simplify]: Simplify (+ 0 0) into 0 10.236 * [backup-simplify]: Simplify 0 into 0 10.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.240 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.241 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 10.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.242 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 10.242 * [backup-simplify]: Simplify -1/2 into -1/2 10.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.246 * [backup-simplify]: Simplify (+ 0 0) into 0 10.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 10.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.248 * [backup-simplify]: Simplify (+ 0 0) into 0 10.248 * [backup-simplify]: Simplify 0 into 0 10.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.252 * [backup-simplify]: Simplify (+ 0 0) into 0 10.253 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.255 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 10.255 * [backup-simplify]: Simplify -1/8 into -1/8 10.255 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 10.256 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) -1))) into (- (sqrt (fma (/ -1 x) (/ -1 x) -1)) (/ 1 x)) 10.256 * [approximate]: Taking taylor expansion of (- (sqrt (fma (/ -1 x) (/ -1 x) -1)) (/ 1 x)) in (x) around 0 10.256 * [taylor]: Taking taylor expansion of (- (sqrt (fma (/ -1 x) (/ -1 x) -1)) (/ 1 x)) in x 10.256 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in x 10.256 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) -1) in x 10.256 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) -1) 10.256 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.256 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.256 * [taylor]: Taking taylor expansion of -1 in x 10.256 * [backup-simplify]: Simplify -1 into -1 10.256 * [taylor]: Taking taylor expansion of x in x 10.256 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify 1 into 1 10.256 * [backup-simplify]: Simplify (/ -1 1) into -1 10.256 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.256 * [taylor]: Taking taylor expansion of -1 in x 10.257 * [backup-simplify]: Simplify -1 into -1 10.257 * [taylor]: Taking taylor expansion of x in x 10.257 * [backup-simplify]: Simplify 0 into 0 10.257 * [backup-simplify]: Simplify 1 into 1 10.257 * [backup-simplify]: Simplify (/ -1 1) into -1 10.257 * [taylor]: Taking taylor expansion of -1 in x 10.257 * [backup-simplify]: Simplify -1 into -1 10.257 * [backup-simplify]: Simplify (* -1 -1) into 1 10.258 * [backup-simplify]: Simplify (+ 1 0) into 1 10.258 * [backup-simplify]: Simplify (sqrt 1) into 1 10.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.261 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.261 * [backup-simplify]: Simplify (+ 0 0) into 0 10.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.262 * [taylor]: Taking taylor expansion of x in x 10.262 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify 1 into 1 10.263 * [backup-simplify]: Simplify (/ 1 1) into 1 10.263 * [taylor]: Taking taylor expansion of (- (sqrt (fma (/ -1 x) (/ -1 x) -1)) (/ 1 x)) in x 10.263 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in x 10.263 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) -1) in x 10.263 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) -1) 10.263 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 10.263 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.263 * [taylor]: Taking taylor expansion of -1 in x 10.263 * [backup-simplify]: Simplify -1 into -1 10.263 * [taylor]: Taking taylor expansion of x in x 10.263 * [backup-simplify]: Simplify 0 into 0 10.263 * [backup-simplify]: Simplify 1 into 1 10.264 * [backup-simplify]: Simplify (/ -1 1) into -1 10.264 * [taylor]: Taking taylor expansion of (/ -1 x) in x 10.264 * [taylor]: Taking taylor expansion of -1 in x 10.264 * [backup-simplify]: Simplify -1 into -1 10.264 * [taylor]: Taking taylor expansion of x in x 10.264 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify 1 into 1 10.264 * [backup-simplify]: Simplify (/ -1 1) into -1 10.264 * [taylor]: Taking taylor expansion of -1 in x 10.264 * [backup-simplify]: Simplify -1 into -1 10.265 * [backup-simplify]: Simplify (* -1 -1) into 1 10.265 * [backup-simplify]: Simplify (+ 1 0) into 1 10.265 * [backup-simplify]: Simplify (sqrt 1) into 1 10.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.268 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.268 * [backup-simplify]: Simplify (+ 0 0) into 0 10.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 10.269 * [taylor]: Taking taylor expansion of x in x 10.269 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify 1 into 1 10.269 * [backup-simplify]: Simplify (/ 1 1) into 1 10.270 * [backup-simplify]: Simplify (- 1) into -1 10.270 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.270 * [backup-simplify]: Simplify 0 into 0 10.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.272 * [backup-simplify]: Simplify (- 0) into 0 10.272 * [backup-simplify]: Simplify (+ 0 0) into 0 10.272 * [backup-simplify]: Simplify 0 into 0 10.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.275 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.277 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 10.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.278 * [backup-simplify]: Simplify (- 0) into 0 10.279 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 10.279 * [backup-simplify]: Simplify -1/2 into -1/2 10.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.282 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 10.282 * [backup-simplify]: Simplify (+ 0 0) into 0 10.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 10.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.285 * [backup-simplify]: Simplify (- 0) into 0 10.285 * [backup-simplify]: Simplify (+ 0 0) into 0 10.285 * [backup-simplify]: Simplify 0 into 0 10.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 10.289 * [backup-simplify]: Simplify (+ 0 0) into 0 10.291 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 10.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.292 * [backup-simplify]: Simplify (- 0) into 0 10.292 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 10.292 * [backup-simplify]: Simplify -1/8 into -1/8 10.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.296 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 10.296 * [backup-simplify]: Simplify (+ 0 0) into 0 10.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* -1/2 0)))) (* 2 1)) into 0 10.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.299 * [backup-simplify]: Simplify (- 0) into 0 10.299 * [backup-simplify]: Simplify (+ 0 0) into 0 10.299 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.301 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 10.301 * [backup-simplify]: Simplify (+ 0 0) into 0 10.302 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 10.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.303 * [backup-simplify]: Simplify (- 0) into 0 10.304 * [backup-simplify]: Simplify (+ -1/16 0) into -1/16 10.304 * [backup-simplify]: Simplify -1/16 into -1/16 10.304 * [backup-simplify]: Simplify (+ (* -1/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) (* -1/2 (/ 1 (- x))))) into (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 10.304 * * * [progress]: simplifying candidates 10.304 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 10.304 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 10.304 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 10.304 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 10.304 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 10.304 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 10.304 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 10.304 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 10.304 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 10.304 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 10.304 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 10.304 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 10.304 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 16 / 40 ] simplifiying candidate #real (real->posit16 (sqrt (fma x x -1)))))))> 10.305 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #real (real->posit16 (+ x (sqrt (fma x x -1)))))))> 10.305 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 37 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 10.305 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 10.306 * [simplify]: Simplifying: (expm1 (sqrt (fma x x -1))) (log1p (sqrt (fma x x -1))) (log (sqrt (fma x x -1))) (exp (sqrt (fma x x -1))) (* (cbrt (sqrt (fma x x -1))) (cbrt (sqrt (fma x x -1)))) (cbrt (sqrt (fma x x -1))) (* (* (sqrt (fma x x -1)) (sqrt (fma x x -1))) (sqrt (fma x x -1))) (sqrt (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))) (sqrt (cbrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (sqrt 1) (sqrt (fma x x -1)) (/ 1 2) (sqrt (sqrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (real->posit16 (sqrt (fma x x -1))) (expm1 (+ x (sqrt (fma x x -1)))) (log1p (+ x (sqrt (fma x x -1)))) (* (exp x) (exp (sqrt (fma x x -1)))) (log (+ x (sqrt (fma x x -1)))) (exp (+ x (sqrt (fma x x -1)))) (* (cbrt (+ x (sqrt (fma x x -1)))) (cbrt (+ x (sqrt (fma x x -1))))) (cbrt (+ x (sqrt (fma x x -1)))) (* (* (+ x (sqrt (fma x x -1))) (+ x (sqrt (fma x x -1)))) (+ x (sqrt (fma x x -1)))) (sqrt (+ x (sqrt (fma x x -1)))) (sqrt (+ x (sqrt (fma x x -1)))) (+ (pow x 3) (pow (sqrt (fma x x -1)) 3)) (+ (* x x) (- (* (sqrt (fma x x -1)) (sqrt (fma x x -1))) (* x (sqrt (fma x x -1))))) (- (* x x) (* (sqrt (fma x x -1)) (sqrt (fma x x -1)))) (- x (sqrt (fma x x -1))) (+ x (sqrt (fma x x -1))) (real->posit16 (+ x (sqrt (fma x x -1)))) (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 10.306 * * [simplify]: iteration 1: (73 enodes) 10.324 * * [simplify]: iteration 2: (172 enodes) 10.396 * * [simplify]: iteration 3: (410 enodes) 10.580 * * [simplify]: iteration 4: (1025 enodes) 12.148 * * [simplify]: Extracting #0: cost 33 inf + 0 12.149 * * [simplify]: Extracting #1: cost 156 inf + 2 12.154 * * [simplify]: Extracting #2: cost 332 inf + 7288 12.178 * * [simplify]: Extracting #3: cost 156 inf + 51936 12.218 * * [simplify]: Extracting #4: cost 27 inf + 82343 12.262 * * [simplify]: Extracting #5: cost 7 inf + 88708 12.303 * * [simplify]: Extracting #6: cost 0 inf + 90747 12.346 * [simplify]: Simplified to: (expm1 (sqrt (fma x x -1))) (log1p (sqrt (fma x x -1))) (log (sqrt (fma x x -1))) (exp (sqrt (fma x x -1))) (* (cbrt (sqrt (fma x x -1))) (cbrt (sqrt (fma x x -1)))) (cbrt (sqrt (fma x x -1))) (* (fma x x -1) (sqrt (fma x x -1))) (fabs (cbrt (fma x x -1))) (sqrt (cbrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) 1 (sqrt (fma x x -1)) 1/2 (sqrt (sqrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (real->posit16 (sqrt (fma x x -1))) (expm1 (+ (sqrt (fma x x -1)) x)) (log1p (+ (sqrt (fma x x -1)) x)) (exp (+ (sqrt (fma x x -1)) x)) (log (+ (sqrt (fma x x -1)) x)) (exp (+ (sqrt (fma x x -1)) x)) (* (cbrt (+ (sqrt (fma x x -1)) x)) (cbrt (+ (sqrt (fma x x -1)) x))) (cbrt (+ (sqrt (fma x x -1)) x)) (* (* (+ (sqrt (fma x x -1)) x) (+ (sqrt (fma x x -1)) x)) (+ (sqrt (fma x x -1)) x)) (sqrt (+ (sqrt (fma x x -1)) x)) (sqrt (+ (sqrt (fma x x -1)) x)) (fma (* x x) x (* (fma x x -1) (sqrt (fma x x -1)))) (- (fma x x -1) (* x (- (sqrt (fma x x -1)) x))) 1 (- x (sqrt (fma x x -1))) (+ (sqrt (fma x x -1)) x) (real->posit16 (+ (sqrt (fma x x -1)) x)) (fma (/ 1/8 (sqrt -1)) (* (* x x) (* x x)) (fma (/ (* x x) (sqrt -1)) 1/2 (sqrt -1))) (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))) (+ (- (/ (/ 1/8 x) (* x x)) x) (/ 1/2 x)) (+ (fma 1/2 (/ (* x x) (sqrt -1)) x) (sqrt -1)) (- (fma 2 x (/ -1/2 x)) (/ (/ 1/8 x) (* x x))) (+ (+ (/ 1/2 x) (/ (/ 1/8 x) (* x x))) (/ 1/16 (pow x 5))) 12.350 * * * [progress]: adding candidates to table 12.738 * * [progress]: iteration 2 / 4 12.738 * * * [progress]: picking best candidate 12.745 * * * * [pick]: Picked # 12.745 * * * [progress]: localizing error 12.765 * * * [progress]: generating rewritten candidates 12.765 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 12.786 * * * [progress]: generating series expansions 12.786 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 12.787 * [backup-simplify]: Simplify (/ (/ 1/8 x) (* x x)) into (/ 1/8 (pow x 3)) 12.787 * [approximate]: Taking taylor expansion of (/ 1/8 (pow x 3)) in (x) around 0 12.787 * [taylor]: Taking taylor expansion of (/ 1/8 (pow x 3)) in x 12.787 * [taylor]: Taking taylor expansion of 1/8 in x 12.787 * [backup-simplify]: Simplify 1/8 into 1/8 12.787 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.787 * [taylor]: Taking taylor expansion of x in x 12.787 * [backup-simplify]: Simplify 0 into 0 12.787 * [backup-simplify]: Simplify 1 into 1 12.788 * [backup-simplify]: Simplify (* 1 1) into 1 12.788 * [backup-simplify]: Simplify (* 1 1) into 1 12.789 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 12.789 * [taylor]: Taking taylor expansion of (/ 1/8 (pow x 3)) in x 12.789 * [taylor]: Taking taylor expansion of 1/8 in x 12.789 * [backup-simplify]: Simplify 1/8 into 1/8 12.789 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.789 * [taylor]: Taking taylor expansion of x in x 12.789 * [backup-simplify]: Simplify 0 into 0 12.789 * [backup-simplify]: Simplify 1 into 1 12.789 * [backup-simplify]: Simplify (* 1 1) into 1 12.790 * [backup-simplify]: Simplify (* 1 1) into 1 12.790 * [backup-simplify]: Simplify (/ 1/8 1) into 1/8 12.790 * [backup-simplify]: Simplify 1/8 into 1/8 12.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)))) into 0 12.793 * [backup-simplify]: Simplify 0 into 0 12.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.796 * [backup-simplify]: Simplify 0 into 0 12.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.799 * [backup-simplify]: Simplify 0 into 0 12.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.803 * [backup-simplify]: Simplify 0 into 0 12.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.807 * [backup-simplify]: Simplify 0 into 0 12.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/8 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.811 * [backup-simplify]: Simplify 0 into 0 12.811 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 x) 3)) into (/ 1/8 (pow x 3)) 12.811 * [backup-simplify]: Simplify (/ (/ 1/8 (/ 1 x)) (* (/ 1 x) (/ 1 x))) into (* 1/8 (pow x 3)) 12.811 * [approximate]: Taking taylor expansion of (* 1/8 (pow x 3)) in (x) around 0 12.811 * [taylor]: Taking taylor expansion of (* 1/8 (pow x 3)) in x 12.811 * [taylor]: Taking taylor expansion of 1/8 in x 12.811 * [backup-simplify]: Simplify 1/8 into 1/8 12.811 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.811 * [taylor]: Taking taylor expansion of x in x 12.811 * [backup-simplify]: Simplify 0 into 0 12.811 * [backup-simplify]: Simplify 1 into 1 12.811 * [taylor]: Taking taylor expansion of (* 1/8 (pow x 3)) in x 12.811 * [taylor]: Taking taylor expansion of 1/8 in x 12.812 * [backup-simplify]: Simplify 1/8 into 1/8 12.812 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.812 * [taylor]: Taking taylor expansion of x in x 12.812 * [backup-simplify]: Simplify 0 into 0 12.812 * [backup-simplify]: Simplify 1 into 1 12.812 * [backup-simplify]: Simplify (* 1 1) into 1 12.812 * [backup-simplify]: Simplify (* 1 1) into 1 12.813 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 12.813 * [backup-simplify]: Simplify 1/8 into 1/8 12.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.815 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 12.815 * [backup-simplify]: Simplify 0 into 0 12.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.818 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 12.818 * [backup-simplify]: Simplify 0 into 0 12.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.821 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.821 * [backup-simplify]: Simplify 0 into 0 12.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.825 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.825 * [backup-simplify]: Simplify 0 into 0 12.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.830 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.830 * [backup-simplify]: Simplify 0 into 0 12.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.834 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.834 * [backup-simplify]: Simplify 0 into 0 12.835 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 x) 3)) into (/ 1/8 (pow x 3)) 12.835 * [backup-simplify]: Simplify (/ (/ 1/8 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* -1/8 (pow x 3)) 12.835 * [approximate]: Taking taylor expansion of (* -1/8 (pow x 3)) in (x) around 0 12.835 * [taylor]: Taking taylor expansion of (* -1/8 (pow x 3)) in x 12.835 * [taylor]: Taking taylor expansion of -1/8 in x 12.835 * [backup-simplify]: Simplify -1/8 into -1/8 12.835 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.835 * [taylor]: Taking taylor expansion of x in x 12.835 * [backup-simplify]: Simplify 0 into 0 12.835 * [backup-simplify]: Simplify 1 into 1 12.835 * [taylor]: Taking taylor expansion of (* -1/8 (pow x 3)) in x 12.835 * [taylor]: Taking taylor expansion of -1/8 in x 12.835 * [backup-simplify]: Simplify -1/8 into -1/8 12.835 * [taylor]: Taking taylor expansion of (pow x 3) in x 12.835 * [taylor]: Taking taylor expansion of x in x 12.835 * [backup-simplify]: Simplify 0 into 0 12.835 * [backup-simplify]: Simplify 1 into 1 12.836 * [backup-simplify]: Simplify (* 1 1) into 1 12.836 * [backup-simplify]: Simplify (* 1 1) into 1 12.837 * [backup-simplify]: Simplify (* -1/8 1) into -1/8 12.837 * [backup-simplify]: Simplify -1/8 into -1/8 12.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.839 * [backup-simplify]: Simplify (+ (* -1/8 0) (* 0 1)) into 0 12.839 * [backup-simplify]: Simplify 0 into 0 12.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.842 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (* 0 1))) into 0 12.842 * [backup-simplify]: Simplify 0 into 0 12.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.845 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.845 * [backup-simplify]: Simplify 0 into 0 12.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.850 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.850 * [backup-simplify]: Simplify 0 into 0 12.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.861 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.861 * [backup-simplify]: Simplify 0 into 0 12.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.866 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.866 * [backup-simplify]: Simplify 0 into 0 12.866 * [backup-simplify]: Simplify (* -1/8 (pow (/ 1 (- x)) 3)) into (/ 1/8 (pow x 3)) 12.866 * * * [progress]: simplifying candidates 12.866 * * * * [progress]: [ 1 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 2 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 3 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 4 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 5 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 6 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 7 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 8 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 9 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 10 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 11 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 12 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 13 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 14 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 15 / 52 ] simplifiying candidate # 12.867 * * * * [progress]: [ 16 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 17 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 18 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 19 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 20 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 21 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 22 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 23 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 24 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 25 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 26 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 27 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 28 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 29 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 30 / 52 ] simplifiying candidate # 12.868 * * * * [progress]: [ 31 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 32 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 33 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 34 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 35 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 36 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 37 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 38 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 39 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 40 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 41 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 42 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 43 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 44 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 45 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 46 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 47 / 52 ] simplifiying candidate # 12.869 * * * * [progress]: [ 48 / 52 ] simplifiying candidate # 12.870 * * * * [progress]: [ 49 / 52 ] simplifiying candidate #real (real->posit16 (/ (/ 1/8 x) (* x x)))))))> 12.870 * * * * [progress]: [ 50 / 52 ] simplifiying candidate # 12.870 * * * * [progress]: [ 51 / 52 ] simplifiying candidate # 12.870 * * * * [progress]: [ 52 / 52 ] simplifiying candidate # 12.871 * [simplify]: Simplifying: (expm1 (/ (/ 1/8 x) (* x x))) (log1p (/ (/ 1/8 x) (* x x))) (- (- (log 1/8) (log x)) (+ (log x) (log x))) (- (- (log 1/8) (log x)) (log (* x x))) (- (log (/ 1/8 x)) (+ (log x) (log x))) (- (log (/ 1/8 x)) (log (* x x))) (log (/ (/ 1/8 x) (* x x))) (exp (/ (/ 1/8 x) (* x x))) (/ (/ (* (* 1/8 1/8) 1/8) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))) (/ (/ (* (* 1/8 1/8) 1/8) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x))) (/ (* (* (/ 1/8 x) (/ 1/8 x)) (/ 1/8 x)) (* (* (* x x) x) (* (* x x) x))) (/ (* (* (/ 1/8 x) (/ 1/8 x)) (/ 1/8 x)) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (/ (/ 1/8 x) (* x x))) (cbrt (/ (/ 1/8 x) (* x x)))) (cbrt (/ (/ 1/8 x) (* x x))) (* (* (/ (/ 1/8 x) (* x x)) (/ (/ 1/8 x) (* x x))) (/ (/ 1/8 x) (* x x))) (sqrt (/ (/ 1/8 x) (* x x))) (sqrt (/ (/ 1/8 x) (* x x))) (- (/ 1/8 x)) (- (* x x)) (/ (* (cbrt (/ 1/8 x)) (cbrt (/ 1/8 x))) x) (/ (cbrt (/ 1/8 x)) x) (/ (sqrt (/ 1/8 x)) x) (/ (sqrt (/ 1/8 x)) x) (/ (/ (* (cbrt 1/8) (cbrt 1/8)) (* (cbrt x) (cbrt x))) x) (/ (/ (cbrt 1/8) (cbrt x)) x) (/ (/ (* (cbrt 1/8) (cbrt 1/8)) (sqrt x)) x) (/ (/ (cbrt 1/8) (sqrt x)) x) (/ (/ (* (cbrt 1/8) (cbrt 1/8)) 1) x) (/ (/ (cbrt 1/8) x) x) (/ (/ (sqrt 1/8) (* (cbrt x) (cbrt x))) x) (/ (/ (sqrt 1/8) (cbrt x)) x) (/ (/ (sqrt 1/8) (sqrt x)) x) (/ (/ (sqrt 1/8) (sqrt x)) x) (/ (/ (sqrt 1/8) 1) x) (/ (/ (sqrt 1/8) x) x) (/ (/ 1 (* (cbrt x) (cbrt x))) x) (/ (/ 1/8 (cbrt x)) x) (/ (/ 1 (sqrt x)) x) (/ (/ 1/8 (sqrt x)) x) (/ (/ 1 1) x) (/ (/ 1/8 x) x) (/ 1 x) (/ (/ 1/8 x) x) (/ 1/8 x) (/ (/ 1 x) x) (/ 1 (* x x)) (/ (* x x) (/ 1/8 x)) (/ (/ 1/8 x) x) (/ (* x x) (cbrt (/ 1/8 x))) (/ (* x x) (sqrt (/ 1/8 x))) (/ (* x x) (/ (cbrt 1/8) (cbrt x))) (/ (* x x) (/ (cbrt 1/8) (sqrt x))) (/ (* x x) (/ (cbrt 1/8) x)) (/ (* x x) (/ (sqrt 1/8) (cbrt x))) (/ (* x x) (/ (sqrt 1/8) (sqrt x))) (/ (* x x) (/ (sqrt 1/8) x)) (/ (* x x) (/ 1/8 (cbrt x))) (/ (* x x) (/ 1/8 (sqrt x))) (/ (* x x) (/ 1/8 x)) (/ (* x x) (/ 1/8 x)) (/ (* x x) (/ 1 x)) (* (* x x) x) (real->posit16 (/ (/ 1/8 x) (* x x))) (/ 1/8 (pow x 3)) (/ 1/8 (pow x 3)) (/ 1/8 (pow x 3)) 12.872 * * [simplify]: iteration 1: (104 enodes) 12.900 * * [simplify]: iteration 2: (234 enodes) 12.988 * * [simplify]: iteration 3: (582 enodes) 13.380 * * [simplify]: iteration 4: (1880 enodes) 20.718 * * [simplify]: Extracting #0: cost 46 inf + 0 20.721 * * [simplify]: Extracting #1: cost 635 inf + 0 20.736 * * [simplify]: Extracting #2: cost 1513 inf + 4990 20.784 * * [simplify]: Extracting #3: cost 877 inf + 112242 20.897 * * [simplify]: Extracting #4: cost 260 inf + 331521 20.996 * * [simplify]: Extracting #5: cost 6 inf + 442859 21.115 * * [simplify]: Extracting #6: cost 0 inf + 445270 21.225 * [simplify]: Simplified to: (expm1 (/ (/ (/ 1/8 x) x) x)) (log1p (/ (/ (/ 1/8 x) x) x)) (log (/ (/ (/ 1/8 x) x) x)) (log (/ (/ (/ 1/8 x) x) x)) (log (/ (/ (/ 1/8 x) x) x)) (log (/ (/ (/ 1/8 x) x) x)) (log (/ (/ (/ 1/8 x) x) x)) (exp (/ (/ (/ 1/8 x) x) x)) (/ 1/512 (* (* (* x x) (* x x)) (* x (* (* x x) (* x x))))) (/ 1/512 (* (* (* x x) (* x x)) (* x (* (* x x) (* x x))))) (/ 1/512 (* (* (* x x) (* x x)) (* x (* (* x x) (* x x))))) (/ 1/512 (* (* (* x x) (* x x)) (* x (* (* x x) (* x x))))) (* (cbrt (/ (/ (/ 1/8 x) x) x)) (cbrt (/ (/ (/ 1/8 x) x) x))) (cbrt (/ (/ (/ 1/8 x) x) x)) (/ 1/512 (* (* (* x x) (* x x)) (* x (* (* x x) (* x x))))) (sqrt (/ (/ (/ 1/8 x) x) x)) (sqrt (/ (/ (/ 1/8 x) x) x)) (/ -1/8 x) (- (* x x)) (* (/ (cbrt (/ 1/8 x)) x) (cbrt (/ 1/8 x))) (/ (cbrt (/ 1/8 x)) x) (/ (sqrt (/ 1/8 x)) x) (/ (sqrt (/ 1/8 x)) x) (/ (* (/ (cbrt 1/8) (cbrt x)) (/ (cbrt 1/8) (cbrt x))) x) (/ (/ (cbrt 1/8) x) (cbrt x)) (* (/ (cbrt 1/8) (sqrt x)) (/ (cbrt 1/8) x)) (/ (/ (cbrt 1/8) x) (sqrt x)) (* (/ (cbrt 1/8) x) (cbrt 1/8)) (/ (cbrt 1/8) (* x x)) (/ (sqrt 1/8) (* (* (cbrt x) x) (cbrt x))) (/ (/ (sqrt 1/8) x) (cbrt x)) (/ (/ (sqrt 1/8) x) (sqrt x)) (/ (/ (sqrt 1/8) x) (sqrt x)) (/ (sqrt 1/8) x) (/ (/ (sqrt 1/8) x) x) (/ (/ 1 x) (* (cbrt x) (cbrt x))) (/ (/ 1/8 x) (cbrt x)) (/ 1 (* x (sqrt x))) (/ (/ 1/8 x) (sqrt x)) (/ 1 x) (/ (/ 1/8 x) x) (/ 1 x) (/ (/ 1/8 x) x) (/ 1/8 x) (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x)) (* (/ x 1/8) (* x x)) (/ (/ 1/8 x) x) (/ x (/ (cbrt (/ 1/8 x)) x)) (/ x (/ (sqrt (/ 1/8 x)) x)) (* (* (/ x (cbrt 1/8)) (cbrt x)) x) (* (/ (* x x) (cbrt 1/8)) (sqrt x)) (/ (* x x) (/ (cbrt 1/8) x)) (/ (cbrt x) (/ (/ (sqrt 1/8) x) x)) (* (sqrt x) (/ x (/ (sqrt 1/8) x))) (* (* (/ x (sqrt 1/8)) x) x) (* (/ x (/ 1/8 x)) (cbrt x)) (* (* (sqrt x) (/ x 1/8)) x) (* (/ x 1/8) (* x x)) (* (/ x 1/8) (* x x)) (* (* x x) x) (* (* x x) x) (real->posit16 (/ (/ (/ 1/8 x) x) x)) (/ (/ (/ 1/8 x) x) x) (/ (/ (/ 1/8 x) x) x) (/ (/ (/ 1/8 x) x) x) 21.232 * * * [progress]: adding candidates to table 21.773 * * [progress]: iteration 3 / 4 21.773 * * * [progress]: picking best candidate 21.776 * * * * [pick]: Picked # 21.776 * * * [progress]: localizing error 21.793 * * * [progress]: generating rewritten candidates 21.793 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 3) 21.794 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 21.795 * * * [progress]: generating series expansions 21.795 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 3) 21.795 * [backup-simplify]: Simplify (sqrt (fma x x -1)) into (sqrt (fma x x -1)) 21.795 * [approximate]: Taking taylor expansion of (sqrt (fma x x -1)) in (x) around 0 21.795 * [taylor]: Taking taylor expansion of (sqrt (fma x x -1)) in x 21.795 * [taylor]: Taking taylor expansion of (fma x x -1) in x 21.795 * [taylor]: Rewrote expression to (+ (* x x) -1) 21.795 * [taylor]: Taking taylor expansion of (* x x) in x 21.795 * [taylor]: Taking taylor expansion of x in x 21.795 * [backup-simplify]: Simplify 0 into 0 21.795 * [backup-simplify]: Simplify 1 into 1 21.795 * [taylor]: Taking taylor expansion of x in x 21.795 * [backup-simplify]: Simplify 0 into 0 21.795 * [backup-simplify]: Simplify 1 into 1 21.795 * [taylor]: Taking taylor expansion of -1 in x 21.795 * [backup-simplify]: Simplify -1 into -1 21.796 * [backup-simplify]: Simplify (* 0 0) into 0 21.796 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.796 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 21.797 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.797 * [backup-simplify]: Simplify (+ 0 0) into 0 21.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 21.797 * [taylor]: Taking taylor expansion of (sqrt (fma x x -1)) in x 21.797 * [taylor]: Taking taylor expansion of (fma x x -1) in x 21.797 * [taylor]: Rewrote expression to (+ (* x x) -1) 21.797 * [taylor]: Taking taylor expansion of (* x x) in x 21.797 * [taylor]: Taking taylor expansion of x in x 21.797 * [backup-simplify]: Simplify 0 into 0 21.798 * [backup-simplify]: Simplify 1 into 1 21.798 * [taylor]: Taking taylor expansion of x in x 21.798 * [backup-simplify]: Simplify 0 into 0 21.798 * [backup-simplify]: Simplify 1 into 1 21.798 * [taylor]: Taking taylor expansion of -1 in x 21.798 * [backup-simplify]: Simplify -1 into -1 21.798 * [backup-simplify]: Simplify (* 0 0) into 0 21.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.798 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 21.799 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.799 * [backup-simplify]: Simplify (+ 0 0) into 0 21.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 21.800 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 21.800 * [backup-simplify]: Simplify 0 into 0 21.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 21.801 * [backup-simplify]: Simplify (+ 1 0) into 1 21.802 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 21.803 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 21.803 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 21.804 * [backup-simplify]: Simplify (+ 0 0) into 0 21.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 21.804 * [backup-simplify]: Simplify 0 into 0 21.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.805 * [backup-simplify]: Simplify (+ 0 0) into 0 21.808 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 21.808 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 21.810 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 21.810 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) -1)) into (sqrt (fma (/ 1 x) (/ 1 x) -1)) 21.810 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in (x) around 0 21.810 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in x 21.810 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) -1) in x 21.810 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) -1) 21.810 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.810 * [taylor]: Taking taylor expansion of x in x 21.810 * [backup-simplify]: Simplify 0 into 0 21.810 * [backup-simplify]: Simplify 1 into 1 21.810 * [backup-simplify]: Simplify (/ 1 1) into 1 21.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.810 * [taylor]: Taking taylor expansion of x in x 21.810 * [backup-simplify]: Simplify 0 into 0 21.811 * [backup-simplify]: Simplify 1 into 1 21.811 * [backup-simplify]: Simplify (/ 1 1) into 1 21.811 * [taylor]: Taking taylor expansion of -1 in x 21.811 * [backup-simplify]: Simplify -1 into -1 21.811 * [backup-simplify]: Simplify (* 1 1) into 1 21.812 * [backup-simplify]: Simplify (+ 1 0) into 1 21.812 * [backup-simplify]: Simplify (sqrt 1) into 1 21.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.813 * [backup-simplify]: Simplify (+ 0 0) into 0 21.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.814 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in x 21.814 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) -1) in x 21.814 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) -1) 21.814 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.814 * [taylor]: Taking taylor expansion of x in x 21.814 * [backup-simplify]: Simplify 0 into 0 21.814 * [backup-simplify]: Simplify 1 into 1 21.814 * [backup-simplify]: Simplify (/ 1 1) into 1 21.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.814 * [taylor]: Taking taylor expansion of x in x 21.814 * [backup-simplify]: Simplify 0 into 0 21.814 * [backup-simplify]: Simplify 1 into 1 21.815 * [backup-simplify]: Simplify (/ 1 1) into 1 21.815 * [taylor]: Taking taylor expansion of -1 in x 21.815 * [backup-simplify]: Simplify -1 into -1 21.815 * [backup-simplify]: Simplify (* 1 1) into 1 21.815 * [backup-simplify]: Simplify (+ 1 0) into 1 21.815 * [backup-simplify]: Simplify (sqrt 1) into 1 21.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.817 * [backup-simplify]: Simplify (+ 0 0) into 0 21.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.817 * [backup-simplify]: Simplify 1 into 1 21.817 * [backup-simplify]: Simplify 0 into 0 21.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.819 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.820 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 21.820 * [backup-simplify]: Simplify -1/2 into -1/2 21.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.822 * [backup-simplify]: Simplify (+ 0 0) into 0 21.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 21.823 * [backup-simplify]: Simplify 0 into 0 21.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 21.825 * [backup-simplify]: Simplify (+ 0 0) into 0 21.826 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 21.826 * [backup-simplify]: Simplify -1/8 into -1/8 21.826 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 21.826 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) -1)) into (sqrt (fma (/ -1 x) (/ -1 x) -1)) 21.826 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in (x) around 0 21.826 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in x 21.826 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) -1) in x 21.826 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) -1) 21.826 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.826 * [taylor]: Taking taylor expansion of -1 in x 21.826 * [backup-simplify]: Simplify -1 into -1 21.826 * [taylor]: Taking taylor expansion of x in x 21.826 * [backup-simplify]: Simplify 0 into 0 21.826 * [backup-simplify]: Simplify 1 into 1 21.826 * [backup-simplify]: Simplify (/ -1 1) into -1 21.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.826 * [taylor]: Taking taylor expansion of -1 in x 21.826 * [backup-simplify]: Simplify -1 into -1 21.826 * [taylor]: Taking taylor expansion of x in x 21.826 * [backup-simplify]: Simplify 0 into 0 21.826 * [backup-simplify]: Simplify 1 into 1 21.827 * [backup-simplify]: Simplify (/ -1 1) into -1 21.827 * [taylor]: Taking taylor expansion of -1 in x 21.827 * [backup-simplify]: Simplify -1 into -1 21.827 * [backup-simplify]: Simplify (* -1 -1) into 1 21.828 * [backup-simplify]: Simplify (+ 1 0) into 1 21.828 * [backup-simplify]: Simplify (sqrt 1) into 1 21.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.829 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 21.830 * [backup-simplify]: Simplify (+ 0 0) into 0 21.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.830 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in x 21.830 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) -1) in x 21.830 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) -1) 21.830 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.830 * [taylor]: Taking taylor expansion of -1 in x 21.830 * [backup-simplify]: Simplify -1 into -1 21.830 * [taylor]: Taking taylor expansion of x in x 21.830 * [backup-simplify]: Simplify 0 into 0 21.830 * [backup-simplify]: Simplify 1 into 1 21.830 * [backup-simplify]: Simplify (/ -1 1) into -1 21.830 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.830 * [taylor]: Taking taylor expansion of -1 in x 21.830 * [backup-simplify]: Simplify -1 into -1 21.831 * [taylor]: Taking taylor expansion of x in x 21.831 * [backup-simplify]: Simplify 0 into 0 21.831 * [backup-simplify]: Simplify 1 into 1 21.831 * [backup-simplify]: Simplify (/ -1 1) into -1 21.831 * [taylor]: Taking taylor expansion of -1 in x 21.831 * [backup-simplify]: Simplify -1 into -1 21.831 * [backup-simplify]: Simplify (* -1 -1) into 1 21.831 * [backup-simplify]: Simplify (+ 1 0) into 1 21.832 * [backup-simplify]: Simplify (sqrt 1) into 1 21.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.833 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 21.833 * [backup-simplify]: Simplify (+ 0 0) into 0 21.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.834 * [backup-simplify]: Simplify 1 into 1 21.834 * [backup-simplify]: Simplify 0 into 0 21.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.835 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 21.836 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.836 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 21.836 * [backup-simplify]: Simplify -1/2 into -1/2 21.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.838 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 21.839 * [backup-simplify]: Simplify (+ 0 0) into 0 21.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 21.839 * [backup-simplify]: Simplify 0 into 0 21.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.841 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 21.841 * [backup-simplify]: Simplify (+ 0 0) into 0 21.842 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 21.842 * [backup-simplify]: Simplify -1/8 into -1/8 21.842 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) 21.843 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 21.843 * [backup-simplify]: Simplify (fma (sqrt x) (sqrt x) (sqrt (fma x x -1))) into (fma (sqrt x) (sqrt x) (sqrt (fma x x -1))) 21.843 * [approximate]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (sqrt (fma x x -1))) in (x) around 0 21.843 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (sqrt (fma x x -1))) in x 21.843 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (sqrt (fma x x -1))) 21.843 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in x 21.843 * [taylor]: Taking taylor expansion of (sqrt x) in x 21.843 * [taylor]: Taking taylor expansion of x in x 21.843 * [backup-simplify]: Simplify 0 into 0 21.843 * [backup-simplify]: Simplify 1 into 1 21.843 * [backup-simplify]: Simplify (sqrt 0) into 0 21.844 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 21.844 * [taylor]: Taking taylor expansion of (sqrt x) in x 21.844 * [taylor]: Taking taylor expansion of x in x 21.844 * [backup-simplify]: Simplify 0 into 0 21.844 * [backup-simplify]: Simplify 1 into 1 21.844 * [backup-simplify]: Simplify (sqrt 0) into 0 21.845 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 21.845 * [taylor]: Taking taylor expansion of (sqrt (fma x x -1)) in x 21.845 * [taylor]: Taking taylor expansion of (fma x x -1) in x 21.845 * [taylor]: Rewrote expression to (+ (* x x) -1) 21.845 * [taylor]: Taking taylor expansion of (* x x) in x 21.845 * [taylor]: Taking taylor expansion of x in x 21.845 * [backup-simplify]: Simplify 0 into 0 21.845 * [backup-simplify]: Simplify 1 into 1 21.845 * [taylor]: Taking taylor expansion of x in x 21.845 * [backup-simplify]: Simplify 0 into 0 21.845 * [backup-simplify]: Simplify 1 into 1 21.845 * [taylor]: Taking taylor expansion of -1 in x 21.846 * [backup-simplify]: Simplify -1 into -1 21.846 * [backup-simplify]: Simplify (* 0 0) into 0 21.846 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.846 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 21.847 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.847 * [backup-simplify]: Simplify (+ 0 0) into 0 21.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 21.847 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (sqrt (fma x x -1))) in x 21.847 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (sqrt (fma x x -1))) 21.847 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in x 21.847 * [taylor]: Taking taylor expansion of (sqrt x) in x 21.847 * [taylor]: Taking taylor expansion of x in x 21.847 * [backup-simplify]: Simplify 0 into 0 21.847 * [backup-simplify]: Simplify 1 into 1 21.848 * [backup-simplify]: Simplify (sqrt 0) into 0 21.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 21.849 * [taylor]: Taking taylor expansion of (sqrt x) in x 21.849 * [taylor]: Taking taylor expansion of x in x 21.849 * [backup-simplify]: Simplify 0 into 0 21.849 * [backup-simplify]: Simplify 1 into 1 21.849 * [backup-simplify]: Simplify (sqrt 0) into 0 21.850 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 21.850 * [taylor]: Taking taylor expansion of (sqrt (fma x x -1)) in x 21.850 * [taylor]: Taking taylor expansion of (fma x x -1) in x 21.850 * [taylor]: Rewrote expression to (+ (* x x) -1) 21.850 * [taylor]: Taking taylor expansion of (* x x) in x 21.850 * [taylor]: Taking taylor expansion of x in x 21.850 * [backup-simplify]: Simplify 0 into 0 21.850 * [backup-simplify]: Simplify 1 into 1 21.850 * [taylor]: Taking taylor expansion of x in x 21.850 * [backup-simplify]: Simplify 0 into 0 21.850 * [backup-simplify]: Simplify 1 into 1 21.850 * [taylor]: Taking taylor expansion of -1 in x 21.850 * [backup-simplify]: Simplify -1 into -1 21.850 * [backup-simplify]: Simplify (* 0 0) into 0 21.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.851 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 21.851 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 21.851 * [backup-simplify]: Simplify (+ 0 0) into 0 21.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 21.852 * [backup-simplify]: Simplify (* 0 0) into 0 21.853 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 21.853 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 21.853 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 21.853 * [backup-simplify]: Simplify (+ 0 0) into 0 21.853 * [backup-simplify]: Simplify 0 into 0 21.855 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 21.857 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 21.859 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 21.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 21.860 * [backup-simplify]: Simplify (+ 1 0) into 1 21.865 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 21.867 * [backup-simplify]: Simplify (+ (- +nan.0) (/ 1/2 (sqrt -1))) into (- (* 1/2 (/ 1 (sqrt -1))) +nan.0) 21.868 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt -1))) +nan.0) into (- (* 1/2 (/ 1 (sqrt -1))) +nan.0) 21.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 21.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 21.876 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 21.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 21.877 * [backup-simplify]: Simplify (+ 0 0) into 0 21.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 21.878 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 21.878 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 21.881 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (sqrt -1))) +nan.0) (pow x 2)) (sqrt -1))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))) 21.881 * [backup-simplify]: Simplify (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (sqrt (fma (/ 1 x) (/ 1 x) -1))) into (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (sqrt (fma (/ 1 x) (/ 1 x) -1))) 21.881 * [approximate]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (sqrt (fma (/ 1 x) (/ 1 x) -1))) in (x) around 0 21.881 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (sqrt (fma (/ 1 x) (/ 1 x) -1))) in x 21.881 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (sqrt (fma (/ 1 x) (/ 1 x) -1))) 21.881 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x 21.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 21.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.881 * [taylor]: Taking taylor expansion of x in x 21.881 * [backup-simplify]: Simplify 0 into 0 21.881 * [backup-simplify]: Simplify 1 into 1 21.881 * [backup-simplify]: Simplify (/ 1 1) into 1 21.881 * [backup-simplify]: Simplify (sqrt 0) into 0 21.882 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 21.882 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 21.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.882 * [taylor]: Taking taylor expansion of x in x 21.882 * [backup-simplify]: Simplify 0 into 0 21.882 * [backup-simplify]: Simplify 1 into 1 21.883 * [backup-simplify]: Simplify (/ 1 1) into 1 21.883 * [backup-simplify]: Simplify (sqrt 0) into 0 21.884 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 21.884 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in x 21.884 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) -1) in x 21.884 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) -1) 21.884 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.884 * [taylor]: Taking taylor expansion of x in x 21.884 * [backup-simplify]: Simplify 0 into 0 21.884 * [backup-simplify]: Simplify 1 into 1 21.884 * [backup-simplify]: Simplify (/ 1 1) into 1 21.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.884 * [taylor]: Taking taylor expansion of x in x 21.884 * [backup-simplify]: Simplify 0 into 0 21.884 * [backup-simplify]: Simplify 1 into 1 21.884 * [backup-simplify]: Simplify (/ 1 1) into 1 21.884 * [taylor]: Taking taylor expansion of -1 in x 21.884 * [backup-simplify]: Simplify -1 into -1 21.885 * [backup-simplify]: Simplify (* 1 1) into 1 21.885 * [backup-simplify]: Simplify (+ 1 0) into 1 21.885 * [backup-simplify]: Simplify (sqrt 1) into 1 21.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.887 * [backup-simplify]: Simplify (+ 0 0) into 0 21.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.887 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (sqrt (fma (/ 1 x) (/ 1 x) -1))) in x 21.887 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (sqrt (fma (/ 1 x) (/ 1 x) -1))) 21.887 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x 21.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 21.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.887 * [taylor]: Taking taylor expansion of x in x 21.887 * [backup-simplify]: Simplify 0 into 0 21.887 * [backup-simplify]: Simplify 1 into 1 21.888 * [backup-simplify]: Simplify (/ 1 1) into 1 21.888 * [backup-simplify]: Simplify (sqrt 0) into 0 21.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 21.889 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 21.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.889 * [taylor]: Taking taylor expansion of x in x 21.889 * [backup-simplify]: Simplify 0 into 0 21.889 * [backup-simplify]: Simplify 1 into 1 21.889 * [backup-simplify]: Simplify (/ 1 1) into 1 21.889 * [backup-simplify]: Simplify (sqrt 0) into 0 21.890 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 21.890 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) -1)) in x 21.890 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) -1) in x 21.890 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) -1) 21.890 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 21.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.890 * [taylor]: Taking taylor expansion of x in x 21.890 * [backup-simplify]: Simplify 0 into 0 21.890 * [backup-simplify]: Simplify 1 into 1 21.891 * [backup-simplify]: Simplify (/ 1 1) into 1 21.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 21.891 * [taylor]: Taking taylor expansion of x in x 21.891 * [backup-simplify]: Simplify 0 into 0 21.891 * [backup-simplify]: Simplify 1 into 1 21.891 * [backup-simplify]: Simplify (/ 1 1) into 1 21.891 * [taylor]: Taking taylor expansion of -1 in x 21.891 * [backup-simplify]: Simplify -1 into -1 21.891 * [backup-simplify]: Simplify (* 1 1) into 1 21.891 * [backup-simplify]: Simplify (+ 1 0) into 1 21.892 * [backup-simplify]: Simplify (sqrt 1) into 1 21.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.893 * [backup-simplify]: Simplify (+ 0 0) into 0 21.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.894 * [backup-simplify]: Simplify (* 0 0) into 0 21.894 * [backup-simplify]: Simplify (+ 0 0) into 0 21.894 * [backup-simplify]: Simplify 0 into 0 21.895 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 21.895 * [backup-simplify]: Simplify (+ 0 1) into 1 21.895 * [backup-simplify]: Simplify 1 into 1 21.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.897 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 21.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.899 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 21.901 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 21.902 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 21.902 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 21.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 21.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 21.910 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 21.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.914 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 21.915 * [backup-simplify]: Simplify (+ (- +nan.0) -1/2) into (- +nan.0) 21.915 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 21.916 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 21.916 * [backup-simplify]: Simplify (fma (sqrt (/ 1 (- x))) (sqrt (/ 1 (- x))) (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) -1))) into (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (sqrt (fma (/ -1 x) (/ -1 x) -1))) 21.916 * [approximate]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (sqrt (fma (/ -1 x) (/ -1 x) -1))) in (x) around 0 21.916 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (sqrt (fma (/ -1 x) (/ -1 x) -1))) in x 21.916 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (sqrt (fma (/ -1 x) (/ -1 x) -1))) 21.916 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in x 21.916 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 21.916 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.916 * [taylor]: Taking taylor expansion of -1 in x 21.917 * [backup-simplify]: Simplify -1 into -1 21.917 * [taylor]: Taking taylor expansion of x in x 21.917 * [backup-simplify]: Simplify 0 into 0 21.917 * [backup-simplify]: Simplify 1 into 1 21.917 * [backup-simplify]: Simplify (/ -1 1) into -1 21.917 * [backup-simplify]: Simplify (sqrt 0) into 0 21.919 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 21.919 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 21.919 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.919 * [taylor]: Taking taylor expansion of -1 in x 21.919 * [backup-simplify]: Simplify -1 into -1 21.919 * [taylor]: Taking taylor expansion of x in x 21.919 * [backup-simplify]: Simplify 0 into 0 21.919 * [backup-simplify]: Simplify 1 into 1 21.919 * [backup-simplify]: Simplify (/ -1 1) into -1 21.920 * [backup-simplify]: Simplify (sqrt 0) into 0 21.921 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 21.921 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in x 21.921 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) -1) in x 21.921 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) -1) 21.921 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.921 * [taylor]: Taking taylor expansion of -1 in x 21.921 * [backup-simplify]: Simplify -1 into -1 21.921 * [taylor]: Taking taylor expansion of x in x 21.921 * [backup-simplify]: Simplify 0 into 0 21.921 * [backup-simplify]: Simplify 1 into 1 21.922 * [backup-simplify]: Simplify (/ -1 1) into -1 21.922 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.922 * [taylor]: Taking taylor expansion of -1 in x 21.922 * [backup-simplify]: Simplify -1 into -1 21.922 * [taylor]: Taking taylor expansion of x in x 21.922 * [backup-simplify]: Simplify 0 into 0 21.922 * [backup-simplify]: Simplify 1 into 1 21.922 * [backup-simplify]: Simplify (/ -1 1) into -1 21.923 * [taylor]: Taking taylor expansion of -1 in x 21.923 * [backup-simplify]: Simplify -1 into -1 21.923 * [backup-simplify]: Simplify (* -1 -1) into 1 21.923 * [backup-simplify]: Simplify (+ 1 0) into 1 21.924 * [backup-simplify]: Simplify (sqrt 1) into 1 21.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.926 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 21.926 * [backup-simplify]: Simplify (+ 0 0) into 0 21.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.927 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (sqrt (fma (/ -1 x) (/ -1 x) -1))) in x 21.927 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (sqrt (fma (/ -1 x) (/ -1 x) -1))) 21.927 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in x 21.927 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 21.927 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.927 * [taylor]: Taking taylor expansion of -1 in x 21.927 * [backup-simplify]: Simplify -1 into -1 21.927 * [taylor]: Taking taylor expansion of x in x 21.927 * [backup-simplify]: Simplify 0 into 0 21.927 * [backup-simplify]: Simplify 1 into 1 21.928 * [backup-simplify]: Simplify (/ -1 1) into -1 21.928 * [backup-simplify]: Simplify (sqrt 0) into 0 21.929 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 21.929 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 21.929 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.929 * [taylor]: Taking taylor expansion of -1 in x 21.930 * [backup-simplify]: Simplify -1 into -1 21.930 * [taylor]: Taking taylor expansion of x in x 21.930 * [backup-simplify]: Simplify 0 into 0 21.930 * [backup-simplify]: Simplify 1 into 1 21.930 * [backup-simplify]: Simplify (/ -1 1) into -1 21.930 * [backup-simplify]: Simplify (sqrt 0) into 0 21.931 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 21.931 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) -1)) in x 21.931 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) -1) in x 21.931 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) -1) 21.931 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 21.931 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.931 * [taylor]: Taking taylor expansion of -1 in x 21.931 * [backup-simplify]: Simplify -1 into -1 21.931 * [taylor]: Taking taylor expansion of x in x 21.931 * [backup-simplify]: Simplify 0 into 0 21.931 * [backup-simplify]: Simplify 1 into 1 21.932 * [backup-simplify]: Simplify (/ -1 1) into -1 21.932 * [taylor]: Taking taylor expansion of (/ -1 x) in x 21.932 * [taylor]: Taking taylor expansion of -1 in x 21.932 * [backup-simplify]: Simplify -1 into -1 21.932 * [taylor]: Taking taylor expansion of x in x 21.932 * [backup-simplify]: Simplify 0 into 0 21.932 * [backup-simplify]: Simplify 1 into 1 21.932 * [backup-simplify]: Simplify (/ -1 1) into -1 21.932 * [taylor]: Taking taylor expansion of -1 in x 21.932 * [backup-simplify]: Simplify -1 into -1 21.932 * [backup-simplify]: Simplify (* -1 -1) into 1 21.932 * [backup-simplify]: Simplify (+ 1 0) into 1 21.933 * [backup-simplify]: Simplify (sqrt 1) into 1 21.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.934 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 21.934 * [backup-simplify]: Simplify (+ 0 0) into 0 21.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 21.935 * [backup-simplify]: Simplify (* 0 0) into 0 21.935 * [backup-simplify]: Simplify (+ 0 0) into 0 21.935 * [backup-simplify]: Simplify 0 into 0 21.936 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 21.936 * [backup-simplify]: Simplify (+ 0 1) into 1 21.936 * [backup-simplify]: Simplify 1 into 1 21.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.939 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 21.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 21.941 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 21.943 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 21.943 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 21.943 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 21.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 21.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 21.952 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 21.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.953 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 21.954 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.954 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 21.955 * [backup-simplify]: Simplify (+ (- +nan.0) -1/2) into (- +nan.0) 21.955 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 21.956 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 21.956 * * * [progress]: simplifying candidates 21.956 * * * * [progress]: [ 1 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 2 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 3 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 4 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 5 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 6 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 7 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 8 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 9 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 10 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 11 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 12 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 13 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 14 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 15 / 33 ] simplifiying candidate # 21.956 * * * * [progress]: [ 16 / 33 ] simplifiying candidate #real (real->posit16 (sqrt (fma x x -1)))))))> 21.956 * * * * [progress]: [ 17 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 18 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 19 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 20 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 21 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 22 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 23 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 24 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 25 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 26 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 27 / 33 ] simplifiying candidate #real (real->posit16 (fma (sqrt x) (sqrt x) (sqrt (fma x x -1)))))))> 21.957 * * * * [progress]: [ 28 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 29 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 30 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 31 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 32 / 33 ] simplifiying candidate # 21.957 * * * * [progress]: [ 33 / 33 ] simplifiying candidate # 21.957 * [simplify]: Simplifying: (expm1 (sqrt (fma x x -1))) (log1p (sqrt (fma x x -1))) (log (sqrt (fma x x -1))) (exp (sqrt (fma x x -1))) (* (cbrt (sqrt (fma x x -1))) (cbrt (sqrt (fma x x -1)))) (cbrt (sqrt (fma x x -1))) (* (* (sqrt (fma x x -1)) (sqrt (fma x x -1))) (sqrt (fma x x -1))) (sqrt (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))) (sqrt (cbrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (sqrt 1) (sqrt (fma x x -1)) (/ 1 2) (sqrt (sqrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (real->posit16 (sqrt (fma x x -1))) (expm1 (fma (sqrt x) (sqrt x) (sqrt (fma x x -1)))) (log1p (fma (sqrt x) (sqrt x) (sqrt (fma x x -1)))) (* (sqrt x) (sqrt x)) (log (fma (sqrt x) (sqrt x) (sqrt (fma x x -1)))) (exp (fma (sqrt x) (sqrt x) (sqrt (fma x x -1)))) (* (cbrt (fma (sqrt x) (sqrt x) (sqrt (fma x x -1)))) (cbrt (fma (sqrt x) (sqrt x) (sqrt (fma x x -1))))) (cbrt (fma (sqrt x) (sqrt x) (sqrt (fma x x -1)))) (* (* (fma (sqrt x) (sqrt x) (sqrt (fma x x -1))) (fma (sqrt x) (sqrt x) (sqrt (fma x x -1)))) (fma (sqrt x) (sqrt x) (sqrt (fma x x -1)))) (sqrt (fma (sqrt x) (sqrt x) (sqrt (fma x x -1)))) (sqrt (fma (sqrt x) (sqrt x) (sqrt (fma x x -1)))) (real->posit16 (fma (sqrt x) (sqrt x) (sqrt (fma x x -1)))) (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) (- (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1)) (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (pow x 2))))) (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) (- (+ x (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 21.958 * * [simplify]: iteration 1: (69 enodes) 21.988 * * [simplify]: iteration 2: (146 enodes) 22.043 * * [simplify]: iteration 3: (341 enodes) 22.231 * * [simplify]: iteration 4: (879 enodes) 23.299 * * [simplify]: Extracting #0: cost 30 inf + 0 23.300 * * [simplify]: Extracting #1: cost 151 inf + 3 23.304 * * [simplify]: Extracting #2: cost 367 inf + 5001 23.320 * * [simplify]: Extracting #3: cost 166 inf + 35598 23.337 * * [simplify]: Extracting #4: cost 59 inf + 54617 23.354 * * [simplify]: Extracting #5: cost 5 inf + 74225 23.394 * * [simplify]: Extracting #6: cost 0 inf + 76373 23.414 * * [simplify]: Extracting #7: cost 0 inf + 76333 23.437 * [simplify]: Simplified to: (expm1 (sqrt (fma x x -1))) (log1p (sqrt (fma x x -1))) (log (sqrt (fma x x -1))) (exp (sqrt (fma x x -1))) (* (cbrt (sqrt (fma x x -1))) (cbrt (sqrt (fma x x -1)))) (cbrt (sqrt (fma x x -1))) (* (fma x x -1) (sqrt (fma x x -1))) (fabs (cbrt (fma x x -1))) (sqrt (cbrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) 1 (sqrt (fma x x -1)) 1/2 (sqrt (sqrt (fma x x -1))) (sqrt (sqrt (fma x x -1))) (real->posit16 (sqrt (fma x x -1))) (expm1 (+ (sqrt (fma x x -1)) x)) (log1p (+ (sqrt (fma x x -1)) x)) x (log (+ (sqrt (fma x x -1)) x)) (exp (+ (sqrt (fma x x -1)) x)) (* (cbrt (+ (sqrt (fma x x -1)) x)) (cbrt (+ (sqrt (fma x x -1)) x))) (cbrt (+ (sqrt (fma x x -1)) x)) (* (+ (sqrt (fma x x -1)) x) (* (+ (sqrt (fma x x -1)) x) (+ (sqrt (fma x x -1)) x))) (sqrt (+ (sqrt (fma x x -1)) x)) (sqrt (+ (sqrt (fma x x -1)) x)) (real->posit16 (+ (sqrt (fma x x -1)) x)) (fma (* (* x x) (/ (* x x) (sqrt -1))) 1/8 (fma 1/2 (/ (* x x) (sqrt -1)) (sqrt -1))) (- (+ (/ -1/2 x) x) (/ 1/8 (* (* x x) x))) (+ (/ 1/8 (* (* x x) x)) (- (/ 1/2 x) x)) (+ (* +nan.0 (* x x)) (fma (/ (* x x) (sqrt -1)) 1/2 (- (sqrt -1) (* x (* +nan.0 (* x x)))))) (- (+ +nan.0 x) (/ +nan.0 x)) (- (/ +nan.0 x) (+ +nan.0 x)) 23.439 * * * [progress]: adding candidates to table 23.680 * [progress]: [Phase 3 of 3] Extracting. 23.680 * * [regime]: Finding splitpoints for: (# #) 23.680 * * * [regime-changes]: Trying 1 branch expressions: (x) 23.680 * * * * [regimes]: Trying to branch on x from (# #) 23.698 * * * [regime]: Found split indices: #