76.803 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.112 * * * [progress]: [2/2] Setting up program. 0.115 * [progress]: [Phase 2 of 3] Improving. 0.115 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.115 * * [simplify]: Extracting # 0 : cost 0 0.115 * * [simplify]: Extracting # 1 : cost 0 0.115 * * [simplify]: Extracting # 2 : cost 0 0.115 * * [simplify]: Extracting # 3 : cost 0 0.115 * * [simplify]: Extracting # 4 : cost 0 0.115 * * [simplify]: Extracting # 5 : cost 0 0.115 * * [simplify]: Extracting # 6 : cost 0 0.115 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.117 * * [simplify]: Extracting # 0 : cost 0 0.117 * * [simplify]: Extracting # 1 : cost 0 0.117 * * [simplify]: Extracting # 2 : cost 0 0.117 * * [simplify]: iteration 1 : 12 enodes (cost 13 ) 0.119 * * [simplify]: Extracting # 0 : cost 0 0.119 * * [simplify]: Extracting # 1 : cost 0 0.119 * * [simplify]: Extracting # 2 : cost 0 0.119 * * [simplify]: iteration 2 : 16 enodes (cost 13 ) 0.122 * * [simplify]: Extracting # 0 : cost 0 0.122 * * [simplify]: iteration 3 : 18 enodes (cost 13 ) 0.124 * * [simplify]: Extracting # 0 : cost 0 0.124 * * [simplify]: iteration done: 18 enodes (cost 13 ) 0.125 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.125 * * [progress]: iteration 1 / 4 0.125 * * * [progress]: picking best candidate 0.127 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.142 * * * [progress]: generating rewritten candidates 0.142 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.162 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2 1) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.192 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* x x))) x) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) 0.192 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [backup-simplify]: Simplify 1.0 into 1.0 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.193 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [backup-simplify]: Simplify 1.0 into 1.0 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.196 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.199 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [backup-simplify]: Simplify (- 1) into -1 0.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.205 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.207 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.209 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.212 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.214 * [backup-simplify]: Simplify (- 0) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [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)) 0.226 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (+ (* 0 0) (* (/ -1/8 (pow (sqrt 1.0) 3)) 1))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.228 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.234 * [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 x)))) into (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 0.234 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.234 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.234 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.234 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [backup-simplify]: Simplify 1.0 into 1.0 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (- 1) into -1 0.235 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.236 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.238 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [backup-simplify]: Simplify 1.0 into 1.0 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [backup-simplify]: Simplify (- 1) into -1 0.240 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.240 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.244 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.246 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.252 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.254 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.264 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.275 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 0 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.292 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.297 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 4)) (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) 0.297 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.297 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.298 * [taylor]: Taking taylor expansion of -1 in x 0.298 * [backup-simplify]: Simplify -1 into -1 0.298 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [backup-simplify]: Simplify 1.0 into 1.0 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [backup-simplify]: Simplify (- 1) into -1 0.299 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.300 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.308 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.308 * [taylor]: Taking taylor expansion of -1 in x 0.308 * [backup-simplify]: Simplify -1 into -1 0.308 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [backup-simplify]: Simplify 1.0 into 1.0 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (- 1) into -1 0.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.310 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.314 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.314 * [backup-simplify]: Simplify (* -1 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.318 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 0.318 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.323 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.324 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt -1)) (* 0 0))) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.339 * [backup-simplify]: Simplify (+ (* -1 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.341 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.352 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.354 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0))))) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.357 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 0 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.378 * [backup-simplify]: Simplify (+ (* -1 (- (* 0.125 (/ 1 (pow (sqrt -1) 3))))) (+ (* 0 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))))) into (* 0.125 (/ 1 (pow (sqrt -1) 3))) 0.381 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow (sqrt -1) 3))) into (/ 0.125 (pow (sqrt -1) 3)) 0.386 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 4)) (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (- (sqrt -1)))) into (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.386 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2 1) 0.387 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.387 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.388 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.389 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.389 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.390 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.391 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (- 1) into -1 0.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.396 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.397 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.401 * [backup-simplify]: Simplify (- 0) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [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)) 0.410 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.413 * [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))))) 0.413 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.414 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [backup-simplify]: Simplify 1.0 into 1.0 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.415 * [backup-simplify]: Simplify (- 1) into -1 0.416 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.416 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- 0) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.419 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.419 * [taylor]: Taking taylor expansion of 1.0 in x 0.419 * [backup-simplify]: Simplify 1.0 into 1.0 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (- 1) into -1 0.421 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.421 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.424 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.424 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.430 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.431 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.444 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.446 * [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 (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.446 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.447 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [backup-simplify]: Simplify 1.0 into 1.0 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [backup-simplify]: Simplify (- 1) into -1 0.448 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.448 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.450 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [backup-simplify]: Simplify 1.0 into 1.0 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [backup-simplify]: Simplify (- 1) into -1 0.451 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.451 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.453 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.457 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.458 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.472 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.475 * [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)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.476 * * * [progress]: simplifying candidates 0.478 * [simplify]: Simplifying: (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (- (log (sqrt (- 1.0 (* x x)))) (log x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (* (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) x)) 1) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) 1) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (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)))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 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))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.481 * * [simplify]: Extracting # 0 : cost 0 0.481 * * [simplify]: Extracting # 1 : cost 0 0.482 * * [simplify]: Extracting # 2 : cost 0 0.482 * * [simplify]: Extracting # 3 : cost 0 0.483 * * [simplify]: Extracting # 4 : cost 0 0.483 * * [simplify]: Extracting # 5 : cost 0 0.483 * * [simplify]: Extracting # 6 : cost 0 0.484 * * [simplify]: Extracting # 7 : cost 0 0.484 * * [simplify]: Extracting # 8 : cost 0 0.484 * * [simplify]: Extracting # 9 : cost 0 0.485 * * [simplify]: Extracting # 10 : cost 0 0.485 * * [simplify]: iteration 0 : 145 enodes (cost 1035 ) 0.553 * * [simplify]: Extracting # 0 : cost 0 0.554 * * [simplify]: Extracting # 1 : cost 0 0.554 * * [simplify]: Extracting # 2 : cost 0 0.555 * * [simplify]: Extracting # 3 : cost 0 0.556 * * [simplify]: Extracting # 4 : cost 0 0.556 * * [simplify]: iteration 1 : 320 enodes (cost 946 ) 0.750 * * [simplify]: Extracting # 0 : cost 0 0.752 * * [simplify]: Extracting # 1 : cost 0 0.756 * * [simplify]: Extracting # 2 : cost 0 0.759 * * [simplify]: Extracting # 3 : cost 0 0.762 * * [simplify]: Extracting # 4 : cost 0 0.765 * * [simplify]: iteration 2 : 1308 enodes (cost 902 ) 1.358 * * [simplify]: Extracting # 0 : cost 0 1.364 * * [simplify]: Extracting # 1 : cost 0 1.371 * * [simplify]: Extracting # 2 : cost 0 1.381 * * [simplify]: Extracting # 3 : cost 0 1.390 * * [simplify]: Extracting # 4 : cost 0 1.403 * * [simplify]: iteration done: 5000 enodes (cost 896 ) 1.404 * [simplify]: Simplified to: (expm1 (/ (sqrt (- 1.0 (* x x))) x)) (log1p (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (fabs (cbrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt (- 1.0 (* x x))) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (* (sqrt (fma (* x x) (fma x x 1.0) (* 1.0 1.0))) x) (* x (sqrt (fma 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)))) (pow (sqrt (- 1.0 (* x x))) 3) (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 (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (fma (* x x) (fma x x 1.0) (* 1.0 1.0))) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (fma x x 1.0)) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (/ (sqrt 1.0) x) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (sqrt -1)) (/ (/ 0.125 (pow x 4)) (- (sqrt -1)))) (- (/ (/ 0.125 (pow x 4)) (- (sqrt -1))) (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (sqrt -1))) (- (sqrt 1.0) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (fma x (sqrt -1) (/ 0.5 (* x (sqrt -1)))) (/ (/ 0.125 (pow x 3)) (- (sqrt -1)))) (- (/ (/ 0.125 (pow x 3)) (- (sqrt -1))) (fma x (sqrt -1) (/ 0.5 (* x (sqrt -1))))) 1.405 * * * [progress]: adding candidates to table 1.674 * [progress]: [Phase 3 of 3] Extracting. 1.676 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 1.676 * * [simplify]: Extracting # 0 : cost 0 1.676 * * [simplify]: Extracting # 1 : cost 0 1.676 * * [simplify]: Extracting # 2 : cost 0 1.676 * * [simplify]: Extracting # 3 : cost 0 1.676 * * [simplify]: Extracting # 4 : cost 0 1.676 * * [simplify]: Extracting # 5 : cost 0 1.676 * * [simplify]: Extracting # 6 : cost 0 1.676 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 1.677 * * [simplify]: Extracting # 0 : cost 0 1.677 * * [simplify]: iteration 1 : 10 enodes (cost 13 ) 1.677 * * [simplify]: Extracting # 0 : cost 0 1.677 * * [simplify]: iteration done: 10 enodes (cost 13 ) 1.677 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 5.704 * [regime-testing]: Baseline error score: 0.01212651581447681 5.706 * [regime-testing]: Oracle error score: 0.01212651581447681 5.707 * [regime-testing]: End program error score: 0.01212651581447681