11.561 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.103 * * * [progress]: [2/2] Setting up program. 0.108 * [progress]: [Phase 2 of 3] Improving. 0.108 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.108 * [simplify]: Sending expressions to egg_math: (log (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0))) 0.110 * * [progress]: iteration 1 / 4 0.110 * * * [progress]: picking best candidate 0.114 * * * * [pick]: Picked # 0.114 * * * [progress]: localizing error 0.133 * * * [progress]: generating rewritten candidates 0.133 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.207 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.221 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.229 * * * [progress]: generating series expansions 0.229 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.229 * [backup-simplify]: Simplify (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) into (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) 0.229 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.229 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.229 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.229 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.229 * [taylor]: Taking taylor expansion of 1.0 in x 0.229 * [backup-simplify]: Simplify 1.0 into 1.0 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.230 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [backup-simplify]: Simplify 1.0 into 1.0 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.231 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [backup-simplify]: Simplify 1.0 into 1.0 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.232 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [backup-simplify]: Simplify 1.0 into 1.0 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.234 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.235 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.235 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (- 1) into -1 0.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.240 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.245 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.251 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.254 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.257 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [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)) 0.273 * [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)))) 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.277 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.280 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.286 * [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 (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 0.287 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) into (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) 0.287 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.287 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.287 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [backup-simplify]: Simplify 1.0 into 1.0 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [backup-simplify]: Simplify (- 1) into -1 0.289 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.289 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.292 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.292 * [taylor]: Taking taylor expansion of 1.0 in x 0.292 * [backup-simplify]: Simplify 1.0 into 1.0 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.292 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.292 * [taylor]: Taking taylor expansion of 1.0 in x 0.292 * [backup-simplify]: Simplify 1.0 into 1.0 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify (- 1) into -1 0.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.294 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.297 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [backup-simplify]: Simplify 1.0 into 1.0 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.300 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.301 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.301 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.306 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.308 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.309 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.309 * [backup-simplify]: Simplify 1.0 into 1.0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.321 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.324 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.326 * [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)))) 0.326 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) into (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 0.326 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.326 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.326 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.326 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.326 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [backup-simplify]: Simplify 1.0 into 1.0 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (* 1 1) into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.328 * [backup-simplify]: Simplify (- 1) into -1 0.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.328 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.331 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [backup-simplify]: Simplify 1.0 into 1.0 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.331 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.331 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [backup-simplify]: Simplify 1.0 into 1.0 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (- 1) into -1 0.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.333 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.336 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [backup-simplify]: Simplify 1.0 into 1.0 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.339 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.340 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.340 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.341 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.344 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.345 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.346 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.346 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.346 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.353 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.355 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.356 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.357 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.360 * [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))) 0.360 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.360 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* x x))) x) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) 0.360 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.360 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.360 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [backup-simplify]: Simplify 1.0 into 1.0 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.361 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.362 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [backup-simplify]: Simplify 1.0 into 1.0 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.362 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.364 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (- 1) into -1 0.366 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.367 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.374 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.375 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.378 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [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)) 0.390 * [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)))) 0.392 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.396 * [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))))) 0.396 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) into (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.396 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.396 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.396 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [backup-simplify]: Simplify 1.0 into 1.0 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (* 1 1) into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [backup-simplify]: Simplify (- 1) into -1 0.397 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.398 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.399 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.399 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (* 1 1) into 1 0.400 * [backup-simplify]: Simplify (/ 1 1) into 1 0.401 * [backup-simplify]: Simplify (- 1) into -1 0.401 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.401 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.404 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.407 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.412 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.413 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.423 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.433 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.447 * [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)))) 0.450 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) into (- (* 0.125 (/ 1 (pow (sqrt -1) 3)))) 0.455 * [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))))) 0.455 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) into (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.455 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.456 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.456 * [taylor]: Taking taylor expansion of -1 in x 0.456 * [backup-simplify]: Simplify -1 into -1 0.456 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [backup-simplify]: Simplify 1.0 into 1.0 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [backup-simplify]: Simplify (- 1) into -1 0.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.458 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.460 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.460 * [taylor]: Taking taylor expansion of -1 in x 0.460 * [backup-simplify]: Simplify -1 into -1 0.460 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.461 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [backup-simplify]: Simplify 1.0 into 1.0 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [backup-simplify]: Simplify (- 1) into -1 0.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.462 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- 0) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.465 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.466 * [backup-simplify]: Simplify (* -1 0) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.469 * [backup-simplify]: Simplify (+ (* -1 (sqrt -1)) (* 0 0)) into (- (sqrt -1)) 0.470 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.475 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.477 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt -1)) (* 0 0))) into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.497 * [backup-simplify]: Simplify (+ (* -1 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.500 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.510 * [backup-simplify]: Simplify (+ (* 0 (/ -0.125 (pow (sqrt -1) 3))) (+ (* 1 0) (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1)))))) into 0 0.512 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 0.5 (/ 1 (sqrt -1)))) (+ (* 0 0) (+ (* 0 (sqrt -1)) (* 0 0))))) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (- 0) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -0.125 (pow (sqrt -1) 3)))) (* 2 (* (/ 0.5 (sqrt -1)) 0)))) (* 2 (sqrt -1))) into 0 0.525 * [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)))) 0.534 * [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))) 0.537 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow (sqrt -1) 3))) into (/ 0.125 (pow (sqrt -1) 3)) 0.542 * [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))) 0.542 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 0.542 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.542 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.542 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [backup-simplify]: Simplify 1.0 into 1.0 0.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.543 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.544 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [backup-simplify]: Simplify 1.0 into 1.0 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.545 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.547 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (- 1) into -1 0.548 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.550 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.551 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify (- 0) into 0 0.556 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [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)) 0.560 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.562 * [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))))) 0.563 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.563 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.563 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.563 * [backup-simplify]: Simplify 1.0 into 1.0 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (* 1 1) into 1 0.563 * [backup-simplify]: Simplify (/ 1 1) into 1 0.563 * [backup-simplify]: Simplify (- 1) into -1 0.564 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.564 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.566 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.566 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [backup-simplify]: Simplify 1.0 into 1.0 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [backup-simplify]: Simplify (- 1) into -1 0.567 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.567 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (- 0) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.569 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (- 0) into 0 0.570 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.572 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.573 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (- 0) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.582 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.584 * [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))))) 0.584 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.584 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.584 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.584 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [backup-simplify]: Simplify 1.0 into 1.0 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (* 1 1) into 1 0.585 * [backup-simplify]: Simplify (/ 1 1) into 1 0.585 * [backup-simplify]: Simplify (- 1) into -1 0.585 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.585 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- 0) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.587 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [backup-simplify]: Simplify 1.0 into 1.0 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify (* 1 1) into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [backup-simplify]: Simplify (- 1) into -1 0.588 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.588 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (- 0) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.594 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (- 0) into 0 0.595 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.597 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.598 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (- 0) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.606 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.608 * [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)))) 0.609 * * * [progress]: simplifying candidates 0.610 * [simplify]: Simplifying: (* (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)))) (- (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)))) (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) (* 1.0 (/ 1 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) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (/ (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)))) 0.610 * [simplify]: Sending expressions to egg_math: (* (exp (/ h1 h0)) (exp (/ (sqrt (- h1 (* h0 h0))) h0))) (log (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0))) (exp (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0))) (* (cbrt (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0))) (cbrt (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0)))) (cbrt (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0))) (* (* (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0)) (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0))) (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0))) (sqrt (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0))) (sqrt (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0))) (+ (* h1 h0) (* h0 (sqrt (- h1 (* h0 h0))))) (* h0 h0) (+ (pow (/ h1 h0) 3) (pow (/ (sqrt (- h1 (* h0 h0))) h0) 3)) (+ (* (/ h1 h0) (/ h1 h0)) (- (* (/ (sqrt (- h1 (* h0 h0))) h0) (/ (sqrt (- h1 (* h0 h0))) h0)) (* (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0)))) (- (* (/ h1 h0) (/ h1 h0)) (* (/ (sqrt (- h1 (* h0 h0))) h0) (/ (sqrt (- h1 (* h0 h0))) h0))) (- (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0)) (+ (/ h1 (cbrt h0)) (/ (sqrt (- h1 (* h0 h0))) (cbrt h0))) (+ (/ h1 (sqrt h0)) (/ (sqrt (- h1 (* h0 h0))) (sqrt h0))) (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0)) (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0)) (+ h1 (sqrt (- h1 (* h0 h0)))) (- (log (sqrt (- h1 (* h0 h0)))) (log h0)) (log (/ (sqrt (- h1 (* h0 h0))) h0)) (exp (/ (sqrt (- h1 (* h0 h0))) h0)) (/ (* (* (sqrt (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0)))) (sqrt (- h1 (* h0 h0)))) (* (* h0 h0) h0)) (* (cbrt (/ (sqrt (- h1 (* h0 h0))) h0)) (cbrt (/ (sqrt (- h1 (* h0 h0))) h0))) (cbrt (/ (sqrt (- h1 (* h0 h0))) h0)) (* (* (/ (sqrt (- h1 (* h0 h0))) h0) (/ (sqrt (- h1 (* h0 h0))) h0)) (/ (sqrt (- h1 (* h0 h0))) h0)) (sqrt (/ (sqrt (- h1 (* h0 h0))) h0)) (sqrt (/ (sqrt (- h1 (* h0 h0))) h0)) (- (sqrt (- h1 (* h0 h0)))) (- h0) (/ (* (cbrt (sqrt (- h1 (* h0 h0)))) (cbrt (sqrt (- h1 (* h0 h0))))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (sqrt (- h1 (* h0 h0)))) (cbrt h0)) (/ (* (cbrt (sqrt (- h1 (* h0 h0)))) (cbrt (sqrt (- h1 (* h0 h0))))) (sqrt h0)) (/ (cbrt (sqrt (- h1 (* h0 h0)))) (sqrt h0)) (/ (* (cbrt (sqrt (- h1 (* h0 h0)))) (cbrt (sqrt (- h1 (* h0 h0))))) 1) (/ (cbrt (sqrt (- h1 (* h0 h0)))) h0) (/ (sqrt (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0))))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (cbrt (- h1 (* h0 h0)))) (cbrt h0)) (/ (sqrt (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0))))) (sqrt h0)) (/ (sqrt (cbrt (- h1 (* h0 h0)))) (sqrt h0)) (/ (sqrt (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0))))) 1) (/ (sqrt (cbrt (- h1 (* h0 h0)))) h0) (/ (sqrt (sqrt (- h1 (* h0 h0)))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (sqrt (- h1 (* h0 h0)))) (cbrt h0)) (/ (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt h0)) (/ (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt h0)) (/ (sqrt (sqrt (- h1 (* h0 h0)))) 1) (/ (sqrt (sqrt (- h1 (* h0 h0)))) h0) (/ (sqrt 1) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- h1 (* h0 h0))) (cbrt h0)) (/ (sqrt 1) (sqrt h0)) (/ (sqrt (- h1 (* h0 h0))) (sqrt h0)) (/ (sqrt 1) 1) (/ (sqrt (- h1 (* h0 h0))) h0) (/ (sqrt (+ (sqrt h1) h0)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- (sqrt h1) h0)) (cbrt h0)) (/ (sqrt (+ (sqrt h1) h0)) (sqrt h0)) (/ (sqrt (- (sqrt h1) h0)) (sqrt h0)) (/ (sqrt (+ (sqrt h1) h0)) 1) (/ (sqrt (- (sqrt h1) h0)) h0) (/ (sqrt (sqrt (- h1 (* h0 h0)))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (sqrt (- h1 (* h0 h0)))) (cbrt h0)) (/ (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt h0)) (/ (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt h0)) (/ (sqrt (sqrt (- h1 (* h0 h0)))) 1) (/ (sqrt (sqrt (- h1 (* h0 h0)))) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (sqrt (- h1 (* h0 h0))) (cbrt h0)) (/ 1 (sqrt h0)) (/ (sqrt (- h1 (* h0 h0))) (sqrt h0)) (/ 1 1) (/ (sqrt (- h1 (* h0 h0))) h0) (/ 1 h0) (/ h0 (sqrt (- h1 (* h0 h0)))) (/ (sqrt (- h1 (* h0 h0))) (* (cbrt h0) (cbrt h0))) (/ (sqrt (- h1 (* h0 h0))) (sqrt h0)) (/ (sqrt (- h1 (* h0 h0))) 1) (/ h0 (cbrt (sqrt (- h1 (* h0 h0))))) (/ h0 (sqrt (cbrt (- h1 (* h0 h0))))) (/ h0 (sqrt (sqrt (- h1 (* h0 h0))))) (/ h0 (sqrt (- h1 (* h0 h0)))) (/ h0 (sqrt (- (sqrt h1) h0))) (/ h0 (sqrt (sqrt (- h1 (* h0 h0))))) (/ h0 (sqrt (- h1 (* h0 h0)))) (* h0 (sqrt (+ (* h1 h1) (+ (* (* h0 h0) (* h0 h0)) (* h1 (* h0 h0)))))) (* h0 (sqrt (+ h1 (* h0 h0)))) (log (sqrt (- h1 (* h0 h0)))) (exp (sqrt (- h1 (* h0 h0)))) (* (cbrt (sqrt (- h1 (* h0 h0)))) (cbrt (sqrt (- h1 (* h0 h0))))) (cbrt (sqrt (- h1 (* h0 h0)))) (* (* (sqrt (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0)))) (sqrt (- h1 (* h0 h0)))) (sqrt (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0))))) (sqrt (cbrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt 1) (sqrt (- h1 (* h0 h0))) (sqrt (+ (sqrt h1) h0)) (sqrt (- (sqrt h1) h0)) (sqrt (- (pow h1 3) (pow (* h0 h0) 3))) (sqrt (+ (* h1 h1) (+ (* (* h0 h0) (* h0 h0)) (* h1 (* h0 h0))))) (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (sqrt (+ h1 (* h0 h0))) (/ 1 2) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (- (+ (/ (sqrt h1) h0) (* h1 (/ 1 h0))) (+ (* 1/2 (/ h0 (sqrt h1))) (* 1/8 (/ (pow h0 3) (pow (sqrt h1) 3))))) (+ (* h2 (/ 1 (* (pow h0 2) (sqrt -1)))) (+ (sqrt -1) (* h1 (/ 1 h0)))) (- (* h1 (/ 1 h0)) (+ (* h2 (/ 1 (* (pow h0 2) (sqrt -1)))) (sqrt -1))) (- (/ (sqrt h1) h0) (+ (* 1/2 (/ h0 (sqrt h1))) (* 1/8 (/ (pow h0 3) (pow (sqrt h1) 3))))) (- (+ (* h2 (/ 1 (* (pow h0 2) (sqrt -1)))) (sqrt -1)) (* h3 (/ 1 (* (pow h0 4) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h0 4) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* (pow h0 2) (sqrt -1)))) (sqrt -1))) (- (sqrt h1) (+ (* 1/8 (/ (pow h0 4) (pow (sqrt h1) 3))) (* 1/2 (/ (pow h0 2) (sqrt h1))))) (- (+ (* h2 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1))) (* h3 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1)))) 0.699 * * * [progress]: adding candidates to table 1.028 * [progress]: [Phase 3 of 3] Extracting. 1.032 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 1.032 * [simplify]: Sending expressions to egg_math: (log (+ (/ h1 h0) (/ (sqrt (- h1 (* h0 h0))) h0))) 4.813 * [regime-testing]: Baseline error score: 0.026253281660207527 4.818 * [regime-testing]: Oracle error score: 0.026253281660207527 4.818 * [regime-testing]: End program error score: 0.026253281660207527