19.471 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.063 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.067 * * [simplify]: iteration 0: 9 enodes 0.069 * * [simplify]: iteration 1: 12 enodes 0.071 * * [simplify]: iteration 2: 16 enodes 0.073 * * [simplify]: iteration 3: 18 enodes 0.075 * * [simplify]: iteration complete: 18 enodes 0.075 * * [simplify]: Extracting #0: cost 1 inf + 0 0.075 * * [simplify]: Extracting #1: cost 2 inf + 0 0.075 * * [simplify]: Extracting #2: cost 4 inf + 0 0.075 * * [simplify]: Extracting #3: cost 7 inf + 0 0.075 * * [simplify]: Extracting #4: cost 6 inf + 2 0.075 * * [simplify]: Extracting #5: cost 8 inf + 44 0.076 * * [simplify]: Extracting #6: cost 0 inf + 1127 0.076 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.076 * * [progress]: iteration 1 / 4 0.076 * * * [progress]: picking best candidate 0.080 * * * * [pick]: Picked # 0.080 * * * [progress]: localizing error 0.111 * * * [progress]: generating rewritten candidates 0.111 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.160 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2 1) 0.173 * * * [progress]: generating series expansions 0.173 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.174 * [backup-simplify]: Simplify (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) into (+ (* 1.0 (/ 1 x)) (* (/ 1 x) (sqrt (- 1.0 (pow x 2))))) 0.174 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (* (/ 1 x) (sqrt (- 1.0 (pow x 2))))) in (x) around 0 0.174 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (* (/ 1 x) (sqrt (- 1.0 (pow x 2))))) in x 0.174 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (pow x 2)))) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.176 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (* (/ 1 x) (sqrt (- 1.0 (pow x 2))))) in x 0.178 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [backup-simplify]: Simplify 1.0 into 1.0 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (pow x 2)))) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.180 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.181 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.182 * [backup-simplify]: Simplify (* 1 (sqrt 1.0)) into (sqrt 1.0) 0.183 * [backup-simplify]: Simplify (+ 1.0 (sqrt 1.0)) into (+ (sqrt 1.0) 1.0) 0.183 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 1.0))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (- 1) into -1 0.189 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.192 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (sqrt 1.0))) (+ (* 0 0) (* 0 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.205 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt 1.0))))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.207 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -1/2 (sqrt 1.0))) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow (sqrt 1.0) 3))) (+ (* 0 0) (+ (* 0 (/ -1/2 (sqrt 1.0))) (+ (* 0 0) (* 0 (sqrt 1.0)))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.236 * [backup-simplify]: Simplify (+ 0 (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.240 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.246 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0)))) x) (* (+ (sqrt 1.0) 1.0) (/ 1 x)))) into (- (+ (* 1.0 (/ 1 x)) (/ (sqrt 1.0) x)) (+ (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) 0.247 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) into (+ (* 1.0 x) (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.247 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.247 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify (- 1) into -1 0.249 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.249 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.252 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.252 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [backup-simplify]: Simplify 1.0 into 1.0 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [backup-simplify]: Simplify 1.0 into 1.0 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* 1 1) into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [backup-simplify]: Simplify (- 1) into -1 0.254 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.254 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.258 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.261 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.261 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 0.262 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.263 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.269 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.271 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.271 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.271 * [backup-simplify]: Simplify 1.0 into 1.0 0.272 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.283 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (sqrt -1)))) into (* 0.5 (/ 1 (sqrt -1))) 0.284 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.285 * [backup-simplify]: Simplify (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1.0 (/ 1 x)) (sqrt -1))) into (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) 0.286 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) into (- (+ (* 1.0 x) (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) 0.286 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.286 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.286 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [backup-simplify]: Simplify 1.0 into 1.0 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [backup-simplify]: Simplify 1.0 into 1.0 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (- 1) into -1 0.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.287 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.289 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 x) (* x (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.289 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.289 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (- 1) into -1 0.290 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.291 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.293 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.295 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.296 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 0.296 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.297 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.298 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.304 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.305 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.306 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.306 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.306 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.307 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.318 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (sqrt -1)))) into (* 0.5 (/ 1 (sqrt -1))) 0.320 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.323 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.328 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* (- 1.0) (/ 1 (- x))) (- (sqrt -1)))) into (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.328 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2 1) 0.328 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.328 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.328 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [backup-simplify]: Simplify 1.0 into 1.0 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.329 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.330 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.330 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [backup-simplify]: Simplify 1.0 into 1.0 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.331 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.333 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (- 1) into -1 0.334 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.337 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.338 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.347 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.349 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 0.349 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.349 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [backup-simplify]: Simplify 1.0 into 1.0 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [backup-simplify]: Simplify (- 1) into -1 0.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.350 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.352 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (* 1 1) into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [backup-simplify]: Simplify (- 1) into -1 0.353 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.354 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.356 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.360 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.360 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.370 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.372 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.372 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.372 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [backup-simplify]: Simplify 1.0 into 1.0 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.373 * [backup-simplify]: Simplify (/ 1 1) into 1 0.373 * [backup-simplify]: Simplify (- 1) into -1 0.373 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.373 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.375 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [backup-simplify]: Simplify 1.0 into 1.0 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (* 1 1) into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (- 1) into -1 0.377 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.377 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.380 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.384 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.385 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (- 0) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.393 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.394 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.396 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 0.397 * * * [progress]: simplifying candidates 0.397 * [simplify]: Simplifying: (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (+ (* 1.0 (/ 1 x)) (/ (sqrt 1.0) x)) (+ (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 0.398 * * [simplify]: iteration 0: 123 enodes 0.427 * * [simplify]: iteration 1: 311 enodes 0.585 * * [simplify]: iteration 2: 1002 enodes 1.542 * * [simplify]: iteration 3: 4114 enodes 2.335 * * [simplify]: iteration complete: 5000 enodes 2.335 * * [simplify]: Extracting #0: cost 43 inf + 0 2.336 * * [simplify]: Extracting #1: cost 305 inf + 2 2.340 * * [simplify]: Extracting #2: cost 834 inf + 2551 2.360 * * [simplify]: Extracting #3: cost 800 inf + 59810 2.402 * * [simplify]: Extracting #4: cost 126 inf + 209235 2.464 * * [simplify]: Extracting #5: cost 1 inf + 245838 2.533 * * [simplify]: Extracting #6: cost 0 inf + 243435 2.608 * * [simplify]: Extracting #7: cost 0 inf + 243340 2.678 * [simplify]: Simplified to: (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* x (+ (sqrt (- 1.0 (* x x))) 1.0)) (* x x) (fma (/ (sqrt (- 1.0 (* x x))) x) (/ (- 1.0 (* x x)) (* x x)) (* (/ 1.0 x) (* (/ 1.0 x) (/ 1.0 x)))) (fma (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) (* (/ 1.0 x) (/ 1.0 x))) (- (* (/ 1.0 x) (/ 1.0 x)) (/ (- 1.0 (* x x)) (* x x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (sqrt (- 1.0 (* x x))) 1.0) (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (sqrt (- 1.0 (* x x))) (- 1.0 (* x x))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)) (sqrt (- (* (* 1.0 1.0) 1.0) (* (* x x) (* (* x x) (* x x))))) (sqrt (fma 1.0 (+ 1.0 (* x x)) (* (* x x) (* x x)))) (sqrt (* (+ 1.0 (* x x)) (- 1.0 (* x x)))) (sqrt (fma x x 1.0)) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (+ (- (+ (/ (sqrt 1.0) x) (/ -1/2 (/ (sqrt 1.0) x))) (* (/ x (/ (sqrt 1.0) x)) (* (/ x 1.0) 1/8))) (/ 1.0 x)) (+ (+ (sqrt -1) (/ 1.0 x)) (/ (/ (/ 0.5 x) x) (sqrt -1))) (- (/ 1.0 x) (+ (sqrt -1) (/ (/ (/ 0.5 x) x) (sqrt -1)))) (+ (sqrt 1.0) (fma (/ (* (* x x) (* x x)) (* 1.0 (sqrt 1.0))) -1/8 (/ -1/2 (/ (sqrt 1.0) (* x x))))) (fma (/ -1 (- (* (* x x) (* x (sqrt -1))))) 0.125 (+ (* x (sqrt -1)) (/ 0.5 (* x (sqrt -1))))) (fma -1 (/ 0.125 (* (* x x) (* x (sqrt -1)))) (- (/ (- 0.5) (* x (sqrt -1))) (* x (sqrt -1)))) 2.683 * * * [progress]: adding candidates to table 2.972 * [progress]: [Phase 3 of 3] Extracting. 2.976 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 2.976 * * [simplify]: iteration 0: 9 enodes 2.977 * * [simplify]: iteration 1: 10 enodes 2.977 * * [simplify]: iteration complete: 10 enodes 2.977 * * [simplify]: Extracting #0: cost 1 inf + 0 2.977 * * [simplify]: Extracting #1: cost 2 inf + 0 2.977 * * [simplify]: Extracting #2: cost 4 inf + 0 2.977 * * [simplify]: Extracting #3: cost 7 inf + 0 2.977 * * [simplify]: Extracting #4: cost 6 inf + 2 2.977 * * [simplify]: Extracting #5: cost 6 inf + 44 2.977 * * [simplify]: Extracting #6: cost 0 inf + 1005 2.977 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 6.585 * [regime-testing]: Baseline error score: 0.03545255188157534 6.603 * [regime-testing]: Oracle error score: 0.03545255188157534 6.603 * [regime-testing]: End program error score: 0.03545255188157534