67.820 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying: (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.039 * * [simplify]: Extracting # 0 : cost 0 0.039 * * [simplify]: Extracting # 1 : cost 0 0.039 * * [simplify]: Extracting # 2 : cost 0 0.039 * * [simplify]: Extracting # 3 : cost 0 0.039 * * [simplify]: Extracting # 4 : cost 0 0.039 * * [simplify]: Extracting # 5 : cost 0 0.040 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: iteration 1 : 8 enodes (cost 8 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: iteration done: 8 enodes (cost 8 ) 0.042 * [simplify]: Simplified to: (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.106 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.149 * * * [progress]: generating series expansions 0.149 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.150 * [backup-simplify]: Simplify (/ x (+ 1.0 (sqrt (+ x 1.0)))) into (/ x (+ (sqrt (+ x 1.0)) 1.0)) 0.150 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.150 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [backup-simplify]: Simplify 1.0 into 1.0 0.151 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.151 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [backup-simplify]: Simplify 1.0 into 1.0 0.154 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.156 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.156 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.156 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [backup-simplify]: Simplify 1.0 into 1.0 0.157 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.157 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.159 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [backup-simplify]: Simplify 1.0 into 1.0 0.160 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.162 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.163 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.165 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 0.175 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.182 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.190 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.223 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 0.239 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 0.265 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (pow x 2)) (* (/ 1 (+ (sqrt 1.0) 1.0)) x))) into (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.265 * [backup-simplify]: Simplify (/ (/ 1 x) (+ 1.0 (sqrt (+ (/ 1 x) 1.0)))) into (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) 0.265 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.265 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.265 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.265 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.265 * [taylor]: Taking taylor expansion of 1.0 in x 0.265 * [backup-simplify]: Simplify 1.0 into 1.0 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (+ 0 1) into 1 0.267 * [backup-simplify]: Simplify (sqrt 0) into 0 0.268 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [backup-simplify]: Simplify 1.0 into 1.0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (* 0 0) into 0 0.269 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.270 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.272 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.273 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.275 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.275 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 0.275 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.275 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (+ 0 1) into 1 0.276 * [backup-simplify]: Simplify (sqrt 0) into 0 0.277 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [backup-simplify]: Simplify 1.0 into 1.0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (* 0 0) into 0 0.278 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.279 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.286 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.286 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.288 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.289 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 0.289 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.293 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.295 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 0.297 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.297 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.301 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.304 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 0.307 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.308 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.308 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 x))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 0.309 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0)))) into (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) 0.309 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.309 * [taylor]: Taking taylor expansion of -1 in x 0.309 * [backup-simplify]: Simplify -1 into -1 0.309 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) 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 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.309 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) 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 x) 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) into -1 0.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.310 * [backup-simplify]: Simplify (sqrt 0) into 0 0.311 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [backup-simplify]: Simplify 1.0 into 1.0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (* 0 0) into 0 0.312 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.312 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.315 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.315 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.317 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.318 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 0.318 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.318 * [taylor]: Taking taylor expansion of -1 in x 0.318 * [backup-simplify]: Simplify -1 into -1 0.318 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.318 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [backup-simplify]: Simplify 1.0 into 1.0 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify (- 1) into -1 0.319 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.319 * [backup-simplify]: Simplify (sqrt 0) into 0 0.320 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [backup-simplify]: Simplify 1.0 into 1.0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (* 0 0) into 0 0.321 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.321 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.324 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.324 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.328 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.329 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 0.329 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.335 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.340 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 0.344 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.345 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.353 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.357 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 0.361 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.361 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.362 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- x)))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 0.362 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.362 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ x 1.0))) into (+ (sqrt (+ x 1.0)) 1.0) 0.362 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.362 * [taylor]: Taking taylor expansion of (+ x 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [backup-simplify]: Simplify 1.0 into 1.0 0.363 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.363 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [backup-simplify]: Simplify 1.0 into 1.0 0.364 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.364 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.364 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [backup-simplify]: Simplify 1.0 into 1.0 0.365 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.365 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.365 * [backup-simplify]: Simplify (+ 1 0) into 1 0.366 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [backup-simplify]: Simplify 1.0 into 1.0 0.367 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.368 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.369 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 0.370 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.375 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.377 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.381 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (+ (sqrt 1.0) 1.0))) into (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.381 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ (/ 1 x) 1.0))) into (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) 0.381 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.381 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [backup-simplify]: Simplify 1.0 into 1.0 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [backup-simplify]: Simplify (+ 0 1) into 1 0.382 * [backup-simplify]: Simplify (sqrt 0) into 0 0.383 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [backup-simplify]: Simplify 1.0 into 1.0 0.383 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.383 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [backup-simplify]: Simplify 1.0 into 1.0 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [backup-simplify]: Simplify (+ 0 1) into 1 0.384 * [backup-simplify]: Simplify (sqrt 0) into 0 0.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.391 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.395 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.396 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.396 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.402 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.402 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.404 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.404 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0))) into (+ (sqrt (- 1.0 (/ 1 x))) 1.0) 0.404 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.404 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.404 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [backup-simplify]: Simplify 1.0 into 1.0 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (/ 1 1) into 1 0.405 * [backup-simplify]: Simplify (- 1) into -1 0.405 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.406 * [backup-simplify]: Simplify (sqrt 0) into 0 0.407 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [backup-simplify]: Simplify 1.0 into 1.0 0.407 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [backup-simplify]: Simplify 1.0 into 1.0 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (/ 1 1) into 1 0.408 * [backup-simplify]: Simplify (- 1) into -1 0.409 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.409 * [backup-simplify]: Simplify (sqrt 0) into 0 0.410 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [backup-simplify]: Simplify 1.0 into 1.0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.412 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.417 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.418 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.418 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (- 0) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.424 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.425 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.426 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.427 * * * [progress]: simplifying candidates 0.428 * [simplify]: Simplifying: (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* x x) x) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x 1) (/ x 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (expm1 (+ 1.0 (sqrt (+ x 1.0)))) (log1p (+ 1.0 (sqrt (+ x 1.0)))) (* (exp 1.0) (exp (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.431 * * [simplify]: Extracting # 0 : cost 0 0.431 * * [simplify]: Extracting # 1 : cost 0 0.431 * * [simplify]: Extracting # 2 : cost 0 0.431 * * [simplify]: Extracting # 3 : cost 0 0.431 * * [simplify]: Extracting # 4 : cost 0 0.432 * * [simplify]: Extracting # 5 : cost 0 0.432 * * [simplify]: Extracting # 6 : cost 0 0.432 * * [simplify]: Extracting # 7 : cost 0 0.432 * * [simplify]: Extracting # 8 : cost 0 0.432 * * [simplify]: Extracting # 9 : cost 0 0.432 * * [simplify]: Extracting # 10 : cost 0 0.433 * * [simplify]: Extracting # 11 : cost 0 0.433 * * [simplify]: iteration 0 : 121 enodes (cost 771 ) 0.478 * * [simplify]: Extracting # 0 : cost 0 0.479 * * [simplify]: Extracting # 1 : cost 0 0.480 * * [simplify]: Extracting # 2 : cost 0 0.480 * * [simplify]: Extracting # 3 : cost 0 0.481 * * [simplify]: Extracting # 4 : cost 0 0.481 * * [simplify]: iteration 1 : 289 enodes (cost 722 ) 0.645 * * [simplify]: Extracting # 0 : cost 0 0.646 * * [simplify]: Extracting # 1 : cost 0 0.647 * * [simplify]: Extracting # 2 : cost 0 0.648 * * [simplify]: Extracting # 3 : cost 0 0.649 * * [simplify]: Extracting # 4 : cost 0 0.651 * * [simplify]: iteration 2 : 872 enodes (cost 665 ) 1.176 * * [simplify]: Extracting # 0 : cost 0 1.181 * * [simplify]: Extracting # 1 : cost 0 1.187 * * [simplify]: Extracting # 2 : cost 0 1.196 * * [simplify]: Extracting # 3 : cost 0 1.204 * * [simplify]: Extracting # 4 : cost 0 1.213 * * [simplify]: iteration 3 : 3751 enodes (cost 657 ) 2.664 * * [simplify]: Extracting # 0 : cost 0 2.670 * * [simplify]: Extracting # 1 : cost 0 2.678 * * [simplify]: Extracting # 2 : cost 0 2.690 * * [simplify]: iteration done: 5000 enodes (cost 657 ) 2.690 * [simplify]: Simplified to: (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (* 1.0 1.0) (+ x 1.0))) (expm1 (+ 1.0 (sqrt (+ x 1.0)))) (log1p (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (pow (+ 1.0 (sqrt (+ x 1.0))) 3) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (+ x 1.0) (* 1.0 (- 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0))) (+ (sqrt (+ x 1.0)) 1.0) (fma -1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma (/ (pow x 3) (* 1.0 (pow (+ (sqrt 1.0) 1.0) 3))) 1/4 (fma (/ 1/8 (pow (+ (sqrt 1.0) 1.0) 2)) (/ (pow x 3) (pow (sqrt 1.0) 3)) (/ x (+ (sqrt 1.0) 1.0))))) (- (- (* +nan.0 x) (/ +nan.0 x)) +nan.0) (- (- (* +nan.0 x) (/ +nan.0 x)) +nan.0) (fma (/ (pow x 2) (pow (sqrt 1.0) 3)) -1/8 (+ (sqrt 1.0) (fma 1/2 (/ x (sqrt 1.0)) 1.0))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) 2.691 * * * [progress]: adding candidates to table 2.876 * * [progress]: iteration 2 / 4 2.876 * * * [progress]: picking best candidate 2.882 * * * * [pick]: Picked # 2.882 * * * [progress]: localizing error 2.903 * * * [progress]: generating rewritten candidates 2.903 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.942 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 2.995 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 3.017 * * * [progress]: generating series expansions 3.017 * * * * [progress]: [ 1 / 3 ] generating series at (2) 3.017 * [backup-simplify]: Simplify (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) into (/ x (+ (sqrt (+ x 1.0)) 1.0)) 3.017 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 3.018 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 3.018 * [taylor]: Taking taylor expansion of x in x 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.018 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.018 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.018 * [taylor]: Taking taylor expansion of x in x 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [taylor]: Taking taylor expansion of 1.0 in x 3.018 * [backup-simplify]: Simplify 1.0 into 1.0 3.018 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.019 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.019 * [backup-simplify]: Simplify (+ 1 0) into 1 3.020 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.020 * [taylor]: Taking taylor expansion of 1.0 in x 3.020 * [backup-simplify]: Simplify 1.0 into 1.0 3.021 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.022 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 3.022 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 3.022 * [taylor]: Taking taylor expansion of x in x 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.022 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.022 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.022 * [taylor]: Taking taylor expansion of x in x 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.022 * [taylor]: Taking taylor expansion of 1.0 in x 3.022 * [backup-simplify]: Simplify 1.0 into 1.0 3.022 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.023 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.023 * [backup-simplify]: Simplify (+ 1 0) into 1 3.024 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.024 * [taylor]: Taking taylor expansion of 1.0 in x 3.024 * [backup-simplify]: Simplify 1.0 into 1.0 3.025 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.026 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 3.027 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 3.028 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 3.038 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 3.043 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 3.043 * [backup-simplify]: Simplify (+ 0 0) into 0 3.046 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.048 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.069 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 3.078 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 3.093 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (pow x 2)) (* (/ 1 (+ (sqrt 1.0) 1.0)) x))) into (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 3.094 * [backup-simplify]: Simplify (/ 1 (/ (+ 1.0 (sqrt (+ (/ 1 x) 1.0))) (/ 1 x))) into (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) 3.094 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 3.094 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 3.094 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 3.094 * [taylor]: Taking taylor expansion of x in x 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.094 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.094 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.094 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.094 * [taylor]: Taking taylor expansion of 1.0 in x 3.094 * [backup-simplify]: Simplify 1.0 into 1.0 3.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.094 * [taylor]: Taking taylor expansion of x in x 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.094 * [backup-simplify]: Simplify (/ 1 1) into 1 3.094 * [backup-simplify]: Simplify (+ 0 1) into 1 3.095 * [backup-simplify]: Simplify (sqrt 0) into 0 3.096 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.096 * [taylor]: Taking taylor expansion of 1.0 in x 3.096 * [backup-simplify]: Simplify 1.0 into 1.0 3.096 * [backup-simplify]: Simplify (+ 0 0) into 0 3.096 * [backup-simplify]: Simplify (* 0 0) into 0 3.096 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.097 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.099 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.102 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.103 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.106 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 3.107 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 3.107 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 3.107 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 3.107 * [taylor]: Taking taylor expansion of x in x 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.107 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.107 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.107 * [taylor]: Taking taylor expansion of 1.0 in x 3.107 * [backup-simplify]: Simplify 1.0 into 1.0 3.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.107 * [taylor]: Taking taylor expansion of x in x 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify (/ 1 1) into 1 3.108 * [backup-simplify]: Simplify (+ 0 1) into 1 3.108 * [backup-simplify]: Simplify (sqrt 0) into 0 3.110 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.110 * [taylor]: Taking taylor expansion of 1.0 in x 3.110 * [backup-simplify]: Simplify 1.0 into 1.0 3.110 * [backup-simplify]: Simplify (+ 0 0) into 0 3.110 * [backup-simplify]: Simplify (* 0 0) into 0 3.111 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.112 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 3.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.113 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.115 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.116 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.119 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 3.120 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 3.120 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.121 * [backup-simplify]: Simplify (+ 0 0) into 0 3.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.125 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.129 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 3.132 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.132 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.134 * [backup-simplify]: Simplify (+ 0 0) into 0 3.138 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.139 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.154 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 3.159 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.159 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.160 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 x))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 3.161 * [backup-simplify]: Simplify (/ 1 (/ (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0))) (/ 1 (- x)))) into (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) 3.161 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 3.161 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 3.161 * [taylor]: Taking taylor expansion of -1 in x 3.161 * [backup-simplify]: Simplify -1 into -1 3.161 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 3.161 * [taylor]: Taking taylor expansion of x in x 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.161 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.161 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.161 * [taylor]: Taking taylor expansion of 1.0 in x 3.161 * [backup-simplify]: Simplify 1.0 into 1.0 3.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.161 * [taylor]: Taking taylor expansion of x in x 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 1 into 1 3.162 * [backup-simplify]: Simplify (/ 1 1) into 1 3.162 * [backup-simplify]: Simplify (- 1) into -1 3.162 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.163 * [backup-simplify]: Simplify (sqrt 0) into 0 3.164 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.164 * [taylor]: Taking taylor expansion of 1.0 in x 3.164 * [backup-simplify]: Simplify 1.0 into 1.0 3.165 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [backup-simplify]: Simplify (* 0 0) into 0 3.165 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.166 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.166 * [backup-simplify]: Simplify (- 0) into 0 3.166 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.168 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.169 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.171 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 3.171 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 3.171 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 3.171 * [taylor]: Taking taylor expansion of -1 in x 3.171 * [backup-simplify]: Simplify -1 into -1 3.171 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 3.171 * [taylor]: Taking taylor expansion of x in x 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.171 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.171 * [taylor]: Taking taylor expansion of 1.0 in x 3.172 * [backup-simplify]: Simplify 1.0 into 1.0 3.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.172 * [taylor]: Taking taylor expansion of x in x 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (/ 1 1) into 1 3.172 * [backup-simplify]: Simplify (- 1) into -1 3.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.173 * [backup-simplify]: Simplify (sqrt 0) into 0 3.173 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.173 * [taylor]: Taking taylor expansion of 1.0 in x 3.173 * [backup-simplify]: Simplify 1.0 into 1.0 3.174 * [backup-simplify]: Simplify (+ 0 0) into 0 3.174 * [backup-simplify]: Simplify (* 0 0) into 0 3.174 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.175 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify (- 0) into 0 3.176 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.177 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.178 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.180 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 3.180 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 3.180 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.181 * [backup-simplify]: Simplify (- 0) into 0 3.181 * [backup-simplify]: Simplify (+ 0 0) into 0 3.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.184 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.187 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 3.189 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.189 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.190 * [backup-simplify]: Simplify (- 0) into 0 3.190 * [backup-simplify]: Simplify (+ 0 0) into 0 3.194 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.194 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.197 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 3.204 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.204 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.205 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- x)))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 3.205 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 3.206 * [backup-simplify]: Simplify (/ (+ 1.0 (sqrt (+ x 1.0))) x) into (/ (+ (sqrt (+ x 1.0)) 1.0) x) 3.206 * [approximate]: Taking taylor expansion of (/ (+ (sqrt (+ x 1.0)) 1.0) x) in (x) around 0 3.206 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (+ x 1.0)) 1.0) x) in x 3.206 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.206 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.206 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.206 * [taylor]: Taking taylor expansion of x in x 3.206 * [backup-simplify]: Simplify 0 into 0 3.206 * [backup-simplify]: Simplify 1 into 1 3.206 * [taylor]: Taking taylor expansion of 1.0 in x 3.206 * [backup-simplify]: Simplify 1.0 into 1.0 3.206 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.207 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.207 * [backup-simplify]: Simplify (+ 1 0) into 1 3.209 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.209 * [taylor]: Taking taylor expansion of 1.0 in x 3.209 * [backup-simplify]: Simplify 1.0 into 1.0 3.209 * [taylor]: Taking taylor expansion of x in x 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 1 into 1 3.210 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.212 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) 1) into (+ (sqrt 1.0) 1.0) 3.212 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (+ x 1.0)) 1.0) x) in x 3.212 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.212 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.212 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.212 * [taylor]: Taking taylor expansion of x in x 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify 1 into 1 3.212 * [taylor]: Taking taylor expansion of 1.0 in x 3.212 * [backup-simplify]: Simplify 1.0 into 1.0 3.213 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.213 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.214 * [backup-simplify]: Simplify (+ 1 0) into 1 3.215 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.215 * [taylor]: Taking taylor expansion of 1.0 in x 3.215 * [backup-simplify]: Simplify 1.0 into 1.0 3.215 * [taylor]: Taking taylor expansion of x in x 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 1 into 1 3.216 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.218 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) 1) into (+ (sqrt 1.0) 1.0) 3.219 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.220 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 3.226 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ 1 (sqrt 1.0))) 1) (+ (* (+ (sqrt 1.0) 1.0) (/ 0 1)))) into (* 1/2 (/ 1 (sqrt 1.0))) 3.227 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.228 * [backup-simplify]: Simplify (+ 0 0) into 0 3.231 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.233 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.239 * [backup-simplify]: Simplify (- (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1) (+ (* (+ (sqrt 1.0) 1.0) (/ 0 1)) (* (* 1/2 (/ 1 (sqrt 1.0))) (/ 0 1)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.241 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.245 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) x) (+ (/ 1/2 (sqrt 1.0)) (* (+ (sqrt 1.0) 1.0) (/ 1 x)))) into (- (+ (/ (sqrt 1.0) x) (+ (* 1/2 (/ 1 (sqrt 1.0))) (* 1.0 (/ 1 x)))) (* 1/8 (/ x (pow (sqrt 1.0) 3)))) 3.245 * [backup-simplify]: Simplify (/ (+ 1.0 (sqrt (+ (/ 1 x) 1.0))) (/ 1 x)) into (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) 3.245 * [approximate]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 3.245 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 3.245 * [taylor]: Taking taylor expansion of x in x 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 1 into 1 3.245 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.245 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.245 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.245 * [taylor]: Taking taylor expansion of 1.0 in x 3.245 * [backup-simplify]: Simplify 1.0 into 1.0 3.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.245 * [taylor]: Taking taylor expansion of x in x 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 1 into 1 3.245 * [backup-simplify]: Simplify (/ 1 1) into 1 3.246 * [backup-simplify]: Simplify (+ 0 1) into 1 3.246 * [backup-simplify]: Simplify (sqrt 0) into 0 3.247 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.247 * [taylor]: Taking taylor expansion of 1.0 in x 3.247 * [backup-simplify]: Simplify 1.0 into 1.0 3.247 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 3.247 * [taylor]: Taking taylor expansion of x in x 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 1 into 1 3.247 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.247 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.247 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.247 * [taylor]: Taking taylor expansion of 1.0 in x 3.247 * [backup-simplify]: Simplify 1.0 into 1.0 3.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.247 * [taylor]: Taking taylor expansion of x in x 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 1 into 1 3.247 * [backup-simplify]: Simplify (/ 1 1) into 1 3.248 * [backup-simplify]: Simplify (+ 0 1) into 1 3.248 * [backup-simplify]: Simplify (sqrt 0) into 0 3.249 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.249 * [taylor]: Taking taylor expansion of 1.0 in x 3.249 * [backup-simplify]: Simplify 1.0 into 1.0 3.249 * [backup-simplify]: Simplify (+ 0 0) into 0 3.249 * [backup-simplify]: Simplify (* 0 0) into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.250 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 3.250 * [backup-simplify]: Simplify 0 into 0 3.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.251 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.253 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.253 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.255 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 3.256 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.268 * [backup-simplify]: Simplify (+ 0 0) into 0 3.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.272 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.276 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 3.277 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify (+ 0 0) into 0 3.282 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.283 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.287 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 3.288 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.289 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 3)) (+ (* (- +nan.0) (pow (/ 1 x) 2)) (* (- +nan.0) (/ 1 x)))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) 3.290 * [backup-simplify]: Simplify (/ (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0))) (/ 1 (- x))) into (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) 3.290 * [approximate]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 3.290 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 3.290 * [taylor]: Taking taylor expansion of -1 in x 3.290 * [backup-simplify]: Simplify -1 into -1 3.290 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 3.290 * [taylor]: Taking taylor expansion of x in x 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.290 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.290 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.290 * [taylor]: Taking taylor expansion of 1.0 in x 3.290 * [backup-simplify]: Simplify 1.0 into 1.0 3.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.290 * [taylor]: Taking taylor expansion of x in x 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.290 * [backup-simplify]: Simplify (/ 1 1) into 1 3.291 * [backup-simplify]: Simplify (- 1) into -1 3.291 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.292 * [backup-simplify]: Simplify (sqrt 0) into 0 3.293 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.293 * [taylor]: Taking taylor expansion of 1.0 in x 3.293 * [backup-simplify]: Simplify 1.0 into 1.0 3.293 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 3.293 * [taylor]: Taking taylor expansion of -1 in x 3.293 * [backup-simplify]: Simplify -1 into -1 3.293 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 3.293 * [taylor]: Taking taylor expansion of x in x 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.293 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.293 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.293 * [taylor]: Taking taylor expansion of 1.0 in x 3.293 * [backup-simplify]: Simplify 1.0 into 1.0 3.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.293 * [taylor]: Taking taylor expansion of x in x 3.293 * [backup-simplify]: Simplify 0 into 0 3.293 * [backup-simplify]: Simplify 1 into 1 3.294 * [backup-simplify]: Simplify (/ 1 1) into 1 3.294 * [backup-simplify]: Simplify (- 1) into -1 3.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.295 * [backup-simplify]: Simplify (sqrt 0) into 0 3.296 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.296 * [taylor]: Taking taylor expansion of 1.0 in x 3.296 * [backup-simplify]: Simplify 1.0 into 1.0 3.297 * [backup-simplify]: Simplify (+ 0 0) into 0 3.297 * [backup-simplify]: Simplify (* 0 0) into 0 3.297 * [backup-simplify]: Simplify (* -1 0) into 0 3.297 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.299 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 3.299 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 3.299 * [backup-simplify]: Simplify 0 into 0 3.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.300 * [backup-simplify]: Simplify (- 0) into 0 3.301 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.304 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.304 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.307 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 3.309 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 3.310 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.311 * [backup-simplify]: Simplify (- 0) into 0 3.311 * [backup-simplify]: Simplify (+ 0 0) into 0 3.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.315 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.319 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 3.322 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 3.323 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.324 * [backup-simplify]: Simplify (- 0) into 0 3.324 * [backup-simplify]: Simplify (+ 0 0) into 0 3.329 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.329 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.332 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 3.334 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 3.334 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.335 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (* (- +nan.0) (/ 1 (- x))))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) 3.335 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 3.335 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ x 1.0))) into (+ (sqrt (+ x 1.0)) 1.0) 3.335 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 3.335 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.335 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.335 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.335 * [taylor]: Taking taylor expansion of x in x 3.335 * [backup-simplify]: Simplify 0 into 0 3.335 * [backup-simplify]: Simplify 1 into 1 3.335 * [taylor]: Taking taylor expansion of 1.0 in x 3.335 * [backup-simplify]: Simplify 1.0 into 1.0 3.336 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.336 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.336 * [backup-simplify]: Simplify (+ 1 0) into 1 3.337 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.337 * [taylor]: Taking taylor expansion of 1.0 in x 3.337 * [backup-simplify]: Simplify 1.0 into 1.0 3.337 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.337 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.337 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.337 * [taylor]: Taking taylor expansion of x in x 3.337 * [backup-simplify]: Simplify 0 into 0 3.337 * [backup-simplify]: Simplify 1 into 1 3.337 * [taylor]: Taking taylor expansion of 1.0 in x 3.337 * [backup-simplify]: Simplify 1.0 into 1.0 3.338 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.338 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.338 * [backup-simplify]: Simplify (+ 1 0) into 1 3.339 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.339 * [taylor]: Taking taylor expansion of 1.0 in x 3.339 * [backup-simplify]: Simplify 1.0 into 1.0 3.340 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.340 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.341 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 3.342 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.343 * [backup-simplify]: Simplify (+ 0 0) into 0 3.346 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.348 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.350 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.353 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (+ (sqrt 1.0) 1.0))) into (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 3.354 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ (/ 1 x) 1.0))) into (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) 3.354 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 3.354 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.354 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.354 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.354 * [taylor]: Taking taylor expansion of 1.0 in x 3.354 * [backup-simplify]: Simplify 1.0 into 1.0 3.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.354 * [taylor]: Taking taylor expansion of x in x 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (/ 1 1) into 1 3.354 * [backup-simplify]: Simplify (+ 0 1) into 1 3.355 * [backup-simplify]: Simplify (sqrt 0) into 0 3.355 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.355 * [taylor]: Taking taylor expansion of 1.0 in x 3.355 * [backup-simplify]: Simplify 1.0 into 1.0 3.355 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.355 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.355 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.355 * [taylor]: Taking taylor expansion of 1.0 in x 3.355 * [backup-simplify]: Simplify 1.0 into 1.0 3.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.355 * [taylor]: Taking taylor expansion of x in x 3.355 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (/ 1 1) into 1 3.356 * [backup-simplify]: Simplify (+ 0 1) into 1 3.356 * [backup-simplify]: Simplify (sqrt 0) into 0 3.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.357 * [taylor]: Taking taylor expansion of 1.0 in x 3.357 * [backup-simplify]: Simplify 1.0 into 1.0 3.357 * [backup-simplify]: Simplify (+ 0 0) into 0 3.357 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.358 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.359 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.361 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.361 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.361 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (+ 0 0) into 0 3.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.365 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.365 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.366 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.366 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0))) into (+ (sqrt (- 1.0 (/ 1 x))) 1.0) 3.366 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 3.366 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.366 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.366 * [taylor]: Taking taylor expansion of 1.0 in x 3.366 * [backup-simplify]: Simplify 1.0 into 1.0 3.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.366 * [taylor]: Taking taylor expansion of x in x 3.366 * [backup-simplify]: Simplify 0 into 0 3.366 * [backup-simplify]: Simplify 1 into 1 3.367 * [backup-simplify]: Simplify (/ 1 1) into 1 3.367 * [backup-simplify]: Simplify (- 1) into -1 3.367 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.367 * [backup-simplify]: Simplify (sqrt 0) into 0 3.368 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.368 * [taylor]: Taking taylor expansion of 1.0 in x 3.368 * [backup-simplify]: Simplify 1.0 into 1.0 3.368 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.368 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.368 * [taylor]: Taking taylor expansion of 1.0 in x 3.368 * [backup-simplify]: Simplify 1.0 into 1.0 3.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.368 * [taylor]: Taking taylor expansion of x in x 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify (/ 1 1) into 1 3.369 * [backup-simplify]: Simplify (- 1) into -1 3.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.369 * [backup-simplify]: Simplify (sqrt 0) into 0 3.370 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.370 * [taylor]: Taking taylor expansion of 1.0 in x 3.370 * [backup-simplify]: Simplify 1.0 into 1.0 3.371 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.371 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.372 * [backup-simplify]: Simplify (- 0) into 0 3.372 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.374 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.375 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.375 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.376 * [backup-simplify]: Simplify (- 0) into 0 3.382 * [backup-simplify]: Simplify (+ 0 0) into 0 3.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.385 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.385 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.386 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.386 * * * [progress]: simplifying candidates 3.388 * [simplify]: Simplifying: (expm1 (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log1p (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 1) (- (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x))) (- (log (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 0 (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x))) (- 0 (log (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- (log 1) (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x))) (- (log 1) (log (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (exp (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (* 1 1) 1) (/ (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (* (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (* (* (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (sqrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (sqrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 1) (- (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ (cbrt 1) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (cbrt 1) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1)) (/ (cbrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ (cbrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ (sqrt 1) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (sqrt 1) (sqrt (/ (+ 1.0 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(* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.392 * * [simplify]: Extracting # 0 : cost 0 3.392 * * [simplify]: Extracting # 1 : cost 0 3.393 * * [simplify]: Extracting # 2 : cost 0 3.393 * * [simplify]: Extracting # 3 : cost 0 3.393 * * [simplify]: Extracting # 4 : cost 0 3.393 * * [simplify]: Extracting # 5 : cost 0 3.394 * * [simplify]: Extracting # 6 : cost 0 3.394 * * [simplify]: Extracting # 7 : cost 0 3.394 * * [simplify]: Extracting # 8 : cost 0 3.395 * * [simplify]: Extracting # 9 : cost 0 3.395 * * [simplify]: Extracting # 10 : cost 0 3.395 * * [simplify]: Extracting # 11 : cost 0 3.395 * * [simplify]: Extracting # 12 : cost 0 3.396 * * [simplify]: iteration 0 : 235 enodes (cost 2543 ) 3.514 * * [simplify]: Extracting # 0 : cost 0 3.514 * * [simplify]: Extracting # 1 : cost 0 3.515 * * [simplify]: Extracting # 2 : cost 0 3.516 * * [simplify]: Extracting # 3 : cost 0 3.516 * * [simplify]: Extracting # 4 : cost 0 3.517 * * [simplify]: iteration 1 : 558 enodes (cost 2217 ) 3.836 * * [simplify]: Extracting # 0 : cost 0 3.839 * * [simplify]: Extracting # 1 : cost 0 3.841 * * [simplify]: Extracting # 2 : cost 0 3.843 * * [simplify]: Extracting # 3 : cost 0 3.844 * * [simplify]: Extracting # 4 : cost 0 3.846 * * [simplify]: iteration 2 : 1417 enodes (cost 1979 ) 4.573 * * [simplify]: Extracting # 0 : cost 0 4.579 * * [simplify]: Extracting # 1 : cost 0 4.586 * * [simplify]: Extracting # 2 : cost 0 4.592 * * [simplify]: Extracting # 3 : cost 0 4.609 * * [simplify]: Extracting # 4 : cost 0 4.621 * * [simplify]: iteration done: 5001 enodes (cost 1947 ) 4.623 * [simplify]: Simplified to: (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) 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(cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) x (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ 1 (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (expm1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (log1p (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (log (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (log (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (exp (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (- (+ 1.0 (sqrt (+ x 1.0)))) (- x) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x)) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x) (/ (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x)) (cbrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ 1 (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ 1 (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ 1 x) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (* (cbrt x) (cbrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (+ 1.0 (sqrt (+ x 1.0))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (* x (+ (+ x 1.0) (* 1.0 (- 1.0 (sqrt (+ x 1.0)))))) (* x (- 1.0 (sqrt (+ x 1.0)))) (expm1 (+ 1.0 (sqrt (+ x 1.0)))) (log1p (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (pow (+ 1.0 (sqrt (+ x 1.0))) 3) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (+ x 1.0) (* 1.0 (- 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (fma -1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) 1/8 (fma (/ (/ (pow x 3) 1.0) (pow (+ (sqrt 1.0) 1.0) 3)) 1/4 (/ x (+ (sqrt 1.0) 1.0))))) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma (/ x (pow (sqrt 1.0) 3)) -1/8 (+ (+ (/ (sqrt 1.0) x) (/ 1/2 (sqrt 1.0))) (/ 1.0 x))) (- (- (/ +nan.0 (* x x)) (- (/ +nan.0 x) (/ +nan.0 (pow x 3))))) (- (- (/ +nan.0 (* x x)) (- (/ +nan.0 x) (/ +nan.0 (pow x 3))))) (fma -1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)) (+ (sqrt 1.0) (fma 1/2 (/ x (sqrt 1.0)) 1.0))) (+ (/ (- +nan.0) (* x x)) (- (/ +nan.0 x) +nan.0)) (+ (/ (- +nan.0) (* x x)) (- (/ +nan.0 x) +nan.0)) 4.625 * * * [progress]: adding candidates to table 4.975 * * [progress]: iteration 3 / 4 4.975 * * * [progress]: picking best candidate 4.978 * * * * [pick]: Picked # 4.978 * * * [progress]: localizing error 4.999 * * * [progress]: generating rewritten candidates 4.999 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 5.034 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.055 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.156 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.233 * * * [progress]: generating series expansions 5.233 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 5.233 * [backup-simplify]: Simplify (- 1.0 (sqrt (+ x 1.0))) into (- 1.0 (sqrt (+ x 1.0))) 5.234 * [approximate]: Taking taylor expansion of (- 1.0 (sqrt (+ x 1.0))) in (x) around 0 5.234 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (+ x 1.0))) in x 5.234 * [taylor]: Taking taylor expansion of 1.0 in x 5.234 * [backup-simplify]: Simplify 1.0 into 1.0 5.234 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.234 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.234 * [taylor]: Taking taylor expansion of x in x 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.234 * [taylor]: Taking taylor expansion of 1.0 in x 5.234 * [backup-simplify]: Simplify 1.0 into 1.0 5.234 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.235 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.235 * [backup-simplify]: Simplify (+ 1 0) into 1 5.236 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.236 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (+ x 1.0))) in x 5.236 * [taylor]: Taking taylor expansion of 1.0 in x 5.236 * [backup-simplify]: Simplify 1.0 into 1.0 5.236 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.236 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.236 * [taylor]: Taking taylor expansion of x in x 5.236 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.236 * [taylor]: Taking taylor expansion of 1.0 in x 5.236 * [backup-simplify]: Simplify 1.0 into 1.0 5.236 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.237 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.237 * [backup-simplify]: Simplify (+ 1 0) into 1 5.238 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.239 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 5.240 * [backup-simplify]: Simplify (+ 1.0 (- (sqrt 1.0))) into (- 1.0 (sqrt 1.0)) 5.240 * [backup-simplify]: Simplify (- 1.0 (sqrt 1.0)) into (- 1.0 (sqrt 1.0)) 5.241 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 1.0))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 5.243 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt 1.0))))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 5.245 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 5.245 * [backup-simplify]: Simplify (+ 0 0) into 0 5.248 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 5.250 * [backup-simplify]: Simplify (- (/ -1/8 (pow (sqrt 1.0) 3))) into (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) 5.252 * [backup-simplify]: Simplify (+ 0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) 5.254 * [backup-simplify]: Simplify (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) into (/ 1/8 (pow (sqrt 1.0) 3)) 5.258 * [backup-simplify]: Simplify (+ (* (/ 1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0)))) x) (- 1.0 (sqrt 1.0)))) into (- (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) 1.0) (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0))))) 5.258 * [backup-simplify]: Simplify (- 1.0 (sqrt (+ (/ 1 x) 1.0))) into (- 1.0 (sqrt (+ 1.0 (/ 1 x)))) 5.258 * [approximate]: Taking taylor expansion of (- 1.0 (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 5.258 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (+ 1.0 (/ 1 x)))) in x 5.258 * [taylor]: Taking taylor expansion of 1.0 in x 5.258 * [backup-simplify]: Simplify 1.0 into 1.0 5.258 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.258 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.258 * [taylor]: Taking taylor expansion of 1.0 in x 5.258 * [backup-simplify]: Simplify 1.0 into 1.0 5.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.258 * [taylor]: Taking taylor expansion of x in x 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify (/ 1 1) into 1 5.258 * [backup-simplify]: Simplify (+ 0 1) into 1 5.259 * [backup-simplify]: Simplify (sqrt 0) into 0 5.260 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.260 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (+ 1.0 (/ 1 x)))) in x 5.260 * [taylor]: Taking taylor expansion of 1.0 in x 5.260 * [backup-simplify]: Simplify 1.0 into 1.0 5.260 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.260 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.260 * [taylor]: Taking taylor expansion of 1.0 in x 5.260 * [backup-simplify]: Simplify 1.0 into 1.0 5.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.260 * [taylor]: Taking taylor expansion of x in x 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [backup-simplify]: Simplify (/ 1 1) into 1 5.260 * [backup-simplify]: Simplify (+ 0 1) into 1 5.261 * [backup-simplify]: Simplify (sqrt 0) into 0 5.261 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.262 * [backup-simplify]: Simplify (- 0) into 0 5.262 * [backup-simplify]: Simplify (+ 0 0) into 0 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.263 * [backup-simplify]: Simplify (+ 1.0 (- +nan.0)) into (- +nan.0) 5.263 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.264 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.266 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.266 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.267 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.267 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.268 * [backup-simplify]: Simplify (+ 0 0) into 0 5.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.271 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.271 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.271 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.272 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 5.272 * [backup-simplify]: Simplify (- 1.0 (sqrt (+ (/ 1 (- x)) 1.0))) into (- 1.0 (sqrt (- 1.0 (/ 1 x)))) 5.272 * [approximate]: Taking taylor expansion of (- 1.0 (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 5.273 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (- 1.0 (/ 1 x)))) in x 5.273 * [taylor]: Taking taylor expansion of 1.0 in x 5.273 * [backup-simplify]: Simplify 1.0 into 1.0 5.273 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.273 * [taylor]: Taking taylor expansion of 1.0 in x 5.273 * [backup-simplify]: Simplify 1.0 into 1.0 5.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.273 * [taylor]: Taking taylor expansion of x in x 5.273 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify 1 into 1 5.273 * [backup-simplify]: Simplify (/ 1 1) into 1 5.273 * [backup-simplify]: Simplify (- 1) into -1 5.273 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.274 * [backup-simplify]: Simplify (sqrt 0) into 0 5.275 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.275 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (- 1.0 (/ 1 x)))) in x 5.275 * [taylor]: Taking taylor expansion of 1.0 in x 5.275 * [backup-simplify]: Simplify 1.0 into 1.0 5.275 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.275 * [taylor]: Taking taylor expansion of 1.0 in x 5.275 * [backup-simplify]: Simplify 1.0 into 1.0 5.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.275 * [taylor]: Taking taylor expansion of x in x 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 1 into 1 5.275 * [backup-simplify]: Simplify (/ 1 1) into 1 5.275 * [backup-simplify]: Simplify (- 1) into -1 5.276 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.276 * [backup-simplify]: Simplify (sqrt 0) into 0 5.277 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.277 * [backup-simplify]: Simplify (- 0) into 0 5.277 * [backup-simplify]: Simplify (+ 0 0) into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.278 * [backup-simplify]: Simplify (+ 1.0 (- +nan.0)) into (- +nan.0) 5.278 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.279 * [backup-simplify]: Simplify (- 0) into 0 5.279 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.281 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.281 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.289 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.289 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.291 * [backup-simplify]: Simplify (- 0) into 0 5.291 * [backup-simplify]: Simplify (+ 0 0) into 0 5.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.294 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.295 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.295 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.296 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 5.296 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.296 * [backup-simplify]: Simplify (- (* 1.0 1.0) (+ x 1.0)) into (- x) 5.297 * [approximate]: Taking taylor expansion of (- x) in (x) around 0 5.297 * [taylor]: Taking taylor expansion of (- x) in x 5.297 * [taylor]: Taking taylor expansion of x in x 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 1 into 1 5.297 * [taylor]: Taking taylor expansion of (- x) in x 5.297 * [taylor]: Taking taylor expansion of x in x 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 1 into 1 5.297 * [backup-simplify]: Simplify (- 0) into 0 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify (- 1) into -1 5.297 * [backup-simplify]: Simplify -1 into -1 5.297 * [backup-simplify]: Simplify (- 0) into 0 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify (- 0) into 0 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify (- 0) into 0 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify (- 0) into 0 5.298 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify (- 0) into 0 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify (- 0) into 0 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify (* -1 x) into (* -1 x) 5.299 * [backup-simplify]: Simplify (- (* 1.0 1.0) (+ (/ 1 x) 1.0)) into (- (/ 1 x)) 5.299 * [approximate]: Taking taylor expansion of (- (/ 1 x)) in (x) around 0 5.299 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 5.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.299 * [taylor]: Taking taylor expansion of x in x 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify 1 into 1 5.300 * [backup-simplify]: Simplify (/ 1 1) into 1 5.300 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 5.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.300 * [taylor]: Taking taylor expansion of x in x 5.300 * [backup-simplify]: Simplify 0 into 0 5.300 * [backup-simplify]: Simplify 1 into 1 5.300 * [backup-simplify]: Simplify (/ 1 1) into 1 5.300 * [backup-simplify]: Simplify (- 1) into -1 5.300 * [backup-simplify]: Simplify -1 into -1 5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (- 0) into 0 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.302 * [backup-simplify]: Simplify (- 0) into 0 5.302 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.303 * [backup-simplify]: Simplify (- 0) into 0 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.303 * [backup-simplify]: Simplify (- 0) into 0 5.304 * [backup-simplify]: Simplify 0 into 0 5.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.305 * [backup-simplify]: Simplify (- 0) into 0 5.305 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.305 * [backup-simplify]: Simplify (- 0) into 0 5.305 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify (* -1 (/ 1 (/ 1 x))) into (* -1 x) 5.306 * [backup-simplify]: Simplify (- (* 1.0 1.0) (+ (/ 1 (- x)) 1.0)) into (/ 1 x) 5.306 * [approximate]: Taking taylor expansion of (/ 1 x) in (x) around 0 5.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.306 * [taylor]: Taking taylor expansion of x in x 5.306 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify 1 into 1 5.306 * [backup-simplify]: Simplify (/ 1 1) into 1 5.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.306 * [taylor]: Taking taylor expansion of x in x 5.306 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify (/ 1 1) into 1 5.307 * [backup-simplify]: Simplify 1 into 1 5.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.307 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.308 * [backup-simplify]: Simplify 0 into 0 5.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.309 * [backup-simplify]: Simplify 0 into 0 5.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.309 * [backup-simplify]: Simplify 0 into 0 5.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.310 * [backup-simplify]: Simplify 0 into 0 5.310 * [backup-simplify]: Simplify (* 1 (/ 1 (/ 1 (- x)))) into (* -1 x) 5.310 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.311 * [backup-simplify]: Simplify (/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0)))) into (* -1 (/ x (- 1.0 (sqrt (+ x 1.0))))) 5.311 * [approximate]: Taking taylor expansion of (* -1 (/ x (- 1.0 (sqrt (+ x 1.0))))) in (x) around 0 5.311 * [taylor]: Taking taylor expansion of (* -1 (/ x (- 1.0 (sqrt (+ x 1.0))))) in x 5.311 * [taylor]: Taking taylor expansion of -1 in x 5.311 * [backup-simplify]: Simplify -1 into -1 5.311 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (sqrt (+ x 1.0)))) in x 5.311 * [taylor]: Taking taylor expansion of x in x 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (+ x 1.0))) in x 5.311 * [taylor]: Taking taylor expansion of 1.0 in x 5.311 * [backup-simplify]: Simplify 1.0 into 1.0 5.311 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.311 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.311 * [taylor]: Taking taylor expansion of x in x 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [taylor]: Taking taylor expansion of 1.0 in x 5.311 * [backup-simplify]: Simplify 1.0 into 1.0 5.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.311 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.312 * [backup-simplify]: Simplify (+ 1 0) into 1 5.313 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.313 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 5.314 * [backup-simplify]: Simplify (+ 1.0 (- (sqrt 1.0))) into (- 1.0 (sqrt 1.0)) 5.315 * [backup-simplify]: Simplify (/ 1 (- 1.0 (sqrt 1.0))) into (/ 1 (- 1.0 (sqrt 1.0))) 5.315 * [taylor]: Taking taylor expansion of (* -1 (/ x (- 1.0 (sqrt (+ x 1.0))))) in x 5.315 * [taylor]: Taking taylor expansion of -1 in x 5.315 * [backup-simplify]: Simplify -1 into -1 5.315 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (sqrt (+ x 1.0)))) in x 5.315 * [taylor]: Taking taylor expansion of x in x 5.315 * [backup-simplify]: Simplify 0 into 0 5.315 * [backup-simplify]: Simplify 1 into 1 5.315 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (+ x 1.0))) in x 5.315 * [taylor]: Taking taylor expansion of 1.0 in x 5.315 * [backup-simplify]: Simplify 1.0 into 1.0 5.315 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.315 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.315 * [taylor]: Taking taylor expansion of x in x 5.315 * [backup-simplify]: Simplify 0 into 0 5.315 * [backup-simplify]: Simplify 1 into 1 5.315 * [taylor]: Taking taylor expansion of 1.0 in x 5.315 * [backup-simplify]: Simplify 1.0 into 1.0 5.316 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.316 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.316 * [backup-simplify]: Simplify (+ 1 0) into 1 5.317 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.318 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 5.319 * [backup-simplify]: Simplify (+ 1.0 (- (sqrt 1.0))) into (- 1.0 (sqrt 1.0)) 5.320 * [backup-simplify]: Simplify (/ 1 (- 1.0 (sqrt 1.0))) into (/ 1 (- 1.0 (sqrt 1.0))) 5.321 * [backup-simplify]: Simplify (* -1 (/ 1 (- 1.0 (sqrt 1.0)))) into (/ -1 (- 1.0 (sqrt 1.0))) 5.322 * [backup-simplify]: Simplify (/ -1 (- 1.0 (sqrt 1.0))) into (/ -1 (- 1.0 (sqrt 1.0))) 5.323 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 1.0))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 5.325 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt 1.0))))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 5.332 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (sqrt 1.0))) (+ (* (/ 1 (- 1.0 (sqrt 1.0))) (/ (- (* 1/2 (/ 1 (sqrt 1.0)))) (- 1.0 (sqrt 1.0)))))) into (* 1/2 (/ 1 (* (sqrt 1.0) (pow (- 1.0 (sqrt 1.0)) 2)))) 5.338 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ 1 (* (sqrt 1.0) (pow (- 1.0 (sqrt 1.0)) 2))))) (* 0 (/ 1 (- 1.0 (sqrt 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (- 1.0 (sqrt 1.0)) 2))))) 5.342 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (- 1.0 (sqrt 1.0)) 2))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (- 1.0 (sqrt 1.0)) 2))))) 5.342 * [backup-simplify]: Simplify (+ 0 0) into 0 5.345 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 5.347 * [backup-simplify]: Simplify (- (/ -1/8 (pow (sqrt 1.0) 3))) into (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) 5.349 * [backup-simplify]: Simplify (+ 0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) 5.367 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (sqrt 1.0))) (+ (* (/ 1 (- 1.0 (sqrt 1.0))) (/ (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) (- 1.0 (sqrt 1.0)))) (* (* 1/2 (/ 1 (* (sqrt 1.0) (pow (- 1.0 (sqrt 1.0)) 2)))) (/ (- (* 1/2 (/ 1 (sqrt 1.0)))) (- 1.0 (sqrt 1.0)))))) into (- (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (- 1.0 (sqrt 1.0)) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (- 1.0 (sqrt 1.0)) 2))))) 5.389 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (- 1.0 (sqrt 1.0)) 3)))) (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (- 1.0 (sqrt 1.0)) 2)))))) (+ (* 0 (* 1/2 (/ 1 (* (sqrt 1.0) (pow (- 1.0 (sqrt 1.0)) 2))))) (* 0 (/ 1 (- 1.0 (sqrt 1.0)))))) into (- (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (- 1.0 (sqrt 1.0)) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (- 1.0 (sqrt 1.0)) 3))))) 5.398 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (- 1.0 (sqrt 1.0)) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (- 1.0 (sqrt 1.0)) 3))))) into (- (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (- 1.0 (sqrt 1.0)) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (- 1.0 (sqrt 1.0)) 3))))) 5.418 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (- 1.0 (sqrt 1.0)) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (- 1.0 (sqrt 1.0)) 3))))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (- 1.0 (sqrt 1.0)) 2))))) (pow x 2)) (* (/ -1 (- 1.0 (sqrt 1.0))) x))) into (- (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (- 1.0 (sqrt 1.0)) 2)))) (+ (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (- 1.0 (sqrt 1.0)) 2)))) (+ (/ x (- 1.0 (sqrt 1.0))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (- 1.0 (sqrt 1.0)) 3))))))) 5.419 * [backup-simplify]: Simplify (/ (- (* 1.0 1.0) (+ (/ 1 x) 1.0)) (- 1.0 (sqrt (+ (/ 1 x) 1.0)))) into (/ -1 (* x (- 1.0 (sqrt (+ 1.0 (/ 1 x)))))) 5.419 * [approximate]: Taking taylor expansion of (/ -1 (* x (- 1.0 (sqrt (+ 1.0 (/ 1 x)))))) in (x) around 0 5.419 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (sqrt (+ 1.0 (/ 1 x)))))) in x 5.419 * [taylor]: Taking taylor expansion of -1 in x 5.419 * [backup-simplify]: Simplify -1 into -1 5.419 * [taylor]: Taking taylor expansion of (* x (- 1.0 (sqrt (+ 1.0 (/ 1 x))))) in x 5.419 * [taylor]: Taking taylor expansion of x in x 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify 1 into 1 5.419 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (+ 1.0 (/ 1 x)))) in x 5.419 * [taylor]: Taking taylor expansion of 1.0 in x 5.419 * [backup-simplify]: Simplify 1.0 into 1.0 5.419 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.419 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.419 * [taylor]: Taking taylor expansion of 1.0 in x 5.419 * [backup-simplify]: Simplify 1.0 into 1.0 5.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.419 * [taylor]: Taking taylor expansion of x in x 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 1 into 1 5.420 * [backup-simplify]: Simplify (/ 1 1) into 1 5.420 * [backup-simplify]: Simplify (+ 0 1) into 1 5.421 * [backup-simplify]: Simplify (sqrt 0) into 0 5.422 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.422 * [backup-simplify]: Simplify (- 0) into 0 5.423 * [backup-simplify]: Simplify (+ 0 0) into 0 5.423 * [backup-simplify]: Simplify (* 0 0) into 0 5.424 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.424 * [backup-simplify]: Simplify (+ 1.0 (- +nan.0)) into (- +nan.0) 5.425 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 5.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.426 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.429 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.430 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.430 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.434 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 5.435 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 5.435 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (sqrt (+ 1.0 (/ 1 x)))))) in x 5.435 * [taylor]: Taking taylor expansion of -1 in x 5.435 * [backup-simplify]: Simplify -1 into -1 5.435 * [taylor]: Taking taylor expansion of (* x (- 1.0 (sqrt (+ 1.0 (/ 1 x))))) in x 5.435 * [taylor]: Taking taylor expansion of x in x 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify 1 into 1 5.435 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (+ 1.0 (/ 1 x)))) in x 5.435 * [taylor]: Taking taylor expansion of 1.0 in x 5.435 * [backup-simplify]: Simplify 1.0 into 1.0 5.435 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.435 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.435 * [taylor]: Taking taylor expansion of 1.0 in x 5.435 * [backup-simplify]: Simplify 1.0 into 1.0 5.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.435 * [taylor]: Taking taylor expansion of x in x 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify 1 into 1 5.436 * [backup-simplify]: Simplify (/ 1 1) into 1 5.436 * [backup-simplify]: Simplify (+ 0 1) into 1 5.436 * [backup-simplify]: Simplify (sqrt 0) into 0 5.438 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.438 * [backup-simplify]: Simplify (- 0) into 0 5.438 * [backup-simplify]: Simplify (+ 0 0) into 0 5.439 * [backup-simplify]: Simplify (* 0 0) into 0 5.439 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.440 * [backup-simplify]: Simplify (+ 1.0 (- +nan.0)) into (- +nan.0) 5.441 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 5.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.443 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.446 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.446 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.447 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.450 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 5.450 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 5.450 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (+ 0 0) into 0 5.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.454 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.455 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.458 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 5.461 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 5.462 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.463 * [backup-simplify]: Simplify (+ 0 0) into 0 5.466 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.466 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.466 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.469 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 5.473 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 5.473 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.474 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 x))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 5.474 * [backup-simplify]: Simplify (/ (- (* 1.0 1.0) (+ (/ 1 (- x)) 1.0)) (- 1.0 (sqrt (+ (/ 1 (- x)) 1.0)))) into (/ 1 (* x (- 1.0 (sqrt (- 1.0 (/ 1 x)))))) 5.474 * [approximate]: Taking taylor expansion of (/ 1 (* x (- 1.0 (sqrt (- 1.0 (/ 1 x)))))) in (x) around 0 5.474 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (sqrt (- 1.0 (/ 1 x)))))) in x 5.474 * [taylor]: Taking taylor expansion of (* x (- 1.0 (sqrt (- 1.0 (/ 1 x))))) in x 5.474 * [taylor]: Taking taylor expansion of x in x 5.474 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify 1 into 1 5.474 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (- 1.0 (/ 1 x)))) in x 5.474 * [taylor]: Taking taylor expansion of 1.0 in x 5.474 * [backup-simplify]: Simplify 1.0 into 1.0 5.474 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.474 * [taylor]: Taking taylor expansion of 1.0 in x 5.474 * [backup-simplify]: Simplify 1.0 into 1.0 5.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.474 * [taylor]: Taking taylor expansion of x in x 5.474 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify 1 into 1 5.475 * [backup-simplify]: Simplify (/ 1 1) into 1 5.475 * [backup-simplify]: Simplify (- 1) into -1 5.475 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.475 * [backup-simplify]: Simplify (sqrt 0) into 0 5.476 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.476 * [backup-simplify]: Simplify (- 0) into 0 5.477 * [backup-simplify]: Simplify (+ 0 0) into 0 5.477 * [backup-simplify]: Simplify (* 0 0) into 0 5.477 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.478 * [backup-simplify]: Simplify (+ 1.0 (- +nan.0)) into (- +nan.0) 5.478 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 5.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.479 * [backup-simplify]: Simplify (- 0) into 0 5.479 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.481 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.481 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.482 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.484 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 5.484 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 5.484 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (sqrt (- 1.0 (/ 1 x)))))) in x 5.484 * [taylor]: Taking taylor expansion of (* x (- 1.0 (sqrt (- 1.0 (/ 1 x))))) in x 5.484 * [taylor]: Taking taylor expansion of x in x 5.484 * [backup-simplify]: Simplify 0 into 0 5.485 * [backup-simplify]: Simplify 1 into 1 5.485 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (- 1.0 (/ 1 x)))) in x 5.485 * [taylor]: Taking taylor expansion of 1.0 in x 5.485 * [backup-simplify]: Simplify 1.0 into 1.0 5.485 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.485 * [taylor]: Taking taylor expansion of 1.0 in x 5.485 * [backup-simplify]: Simplify 1.0 into 1.0 5.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.485 * [taylor]: Taking taylor expansion of x in x 5.485 * [backup-simplify]: Simplify 0 into 0 5.485 * [backup-simplify]: Simplify 1 into 1 5.485 * [backup-simplify]: Simplify (/ 1 1) into 1 5.485 * [backup-simplify]: Simplify (- 1) into -1 5.486 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.486 * [backup-simplify]: Simplify (sqrt 0) into 0 5.488 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.497 * [backup-simplify]: Simplify (- 0) into 0 5.498 * [backup-simplify]: Simplify (+ 0 0) into 0 5.498 * [backup-simplify]: Simplify (* 0 0) into 0 5.498 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.499 * [backup-simplify]: Simplify (+ 1.0 (- +nan.0)) into (- +nan.0) 5.500 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 5.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.501 * [backup-simplify]: Simplify (- 0) into 0 5.502 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.505 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.505 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.506 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.510 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 5.511 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 5.511 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.512 * [backup-simplify]: Simplify (- 0) into 0 5.512 * [backup-simplify]: Simplify (+ 0 0) into 0 5.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.516 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.517 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.521 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 5.524 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 5.525 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.526 * [backup-simplify]: Simplify (- 0) into 0 5.526 * [backup-simplify]: Simplify (+ 0 0) into 0 5.530 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.531 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.532 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.536 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 5.541 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 5.541 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.542 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- x)))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 5.542 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.543 * [backup-simplify]: Simplify (/ x (/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0))))) into (* -1 (- 1.0 (sqrt (+ x 1.0)))) 5.543 * [approximate]: Taking taylor expansion of (* -1 (- 1.0 (sqrt (+ x 1.0)))) in (x) around 0 5.543 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (sqrt (+ x 1.0)))) in x 5.543 * [taylor]: Taking taylor expansion of -1 in x 5.543 * [backup-simplify]: Simplify -1 into -1 5.543 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (+ x 1.0))) in x 5.543 * [taylor]: Taking taylor expansion of 1.0 in x 5.543 * [backup-simplify]: Simplify 1.0 into 1.0 5.543 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.543 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.543 * [taylor]: Taking taylor expansion of x in x 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify 1 into 1 5.543 * [taylor]: Taking taylor expansion of 1.0 in x 5.543 * [backup-simplify]: Simplify 1.0 into 1.0 5.544 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.544 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.545 * [backup-simplify]: Simplify (+ 1 0) into 1 5.546 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.546 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (sqrt (+ x 1.0)))) in x 5.546 * [taylor]: Taking taylor expansion of -1 in x 5.546 * [backup-simplify]: Simplify -1 into -1 5.546 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (+ x 1.0))) in x 5.546 * [taylor]: Taking taylor expansion of 1.0 in x 5.546 * [backup-simplify]: Simplify 1.0 into 1.0 5.546 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.546 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.546 * [taylor]: Taking taylor expansion of x in x 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 1 into 1 5.546 * [taylor]: Taking taylor expansion of 1.0 in x 5.546 * [backup-simplify]: Simplify 1.0 into 1.0 5.547 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.547 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.548 * [backup-simplify]: Simplify (+ 1 0) into 1 5.549 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.550 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 5.551 * [backup-simplify]: Simplify (+ 1.0 (- (sqrt 1.0))) into (- 1.0 (sqrt 1.0)) 5.553 * [backup-simplify]: Simplify (* -1 (- 1.0 (sqrt 1.0))) into (* -1 (- 1.0 (sqrt 1.0))) 5.554 * [backup-simplify]: Simplify (* -1 (- 1.0 (sqrt 1.0))) into (* -1 (- 1.0 (sqrt 1.0))) 5.556 * [backup-simplify]: Simplify (- (/ 1/2 (sqrt 1.0))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 5.559 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt 1.0))))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 5.564 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ 1 (sqrt 1.0))))) (* 0 (- 1.0 (sqrt 1.0)))) into (* 1/2 (/ 1 (sqrt 1.0))) 5.565 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 5.565 * [backup-simplify]: Simplify (+ 0 0) into 0 5.569 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 5.570 * [backup-simplify]: Simplify (- (/ -1/8 (pow (sqrt 1.0) 3))) into (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) 5.573 * [backup-simplify]: Simplify (+ 0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (* 1/8 (/ 1 (pow (sqrt 1.0) 3))) 5.577 * [backup-simplify]: Simplify (+ (* -1 (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (* 0 (- (* 1/2 (/ 1 (sqrt 1.0))))) (* 0 (- 1.0 (sqrt 1.0))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 5.580 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 5.584 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (* -1 (- 1.0 (sqrt 1.0))))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) 1.0)) 5.584 * [backup-simplify]: Simplify (/ (/ 1 x) (/ (- (* 1.0 1.0) (+ (/ 1 x) 1.0)) (- 1.0 (sqrt (+ (/ 1 x) 1.0))))) into (* -1 (- 1.0 (sqrt (+ 1.0 (/ 1 x))))) 5.584 * [approximate]: Taking taylor expansion of (* -1 (- 1.0 (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 5.584 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (sqrt (+ 1.0 (/ 1 x))))) in x 5.584 * [taylor]: Taking taylor expansion of -1 in x 5.584 * [backup-simplify]: Simplify -1 into -1 5.584 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (+ 1.0 (/ 1 x)))) in x 5.584 * [taylor]: Taking taylor expansion of 1.0 in x 5.584 * [backup-simplify]: Simplify 1.0 into 1.0 5.584 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.584 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.584 * [taylor]: Taking taylor expansion of 1.0 in x 5.584 * [backup-simplify]: Simplify 1.0 into 1.0 5.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.584 * [taylor]: Taking taylor expansion of x in x 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.585 * [backup-simplify]: Simplify (/ 1 1) into 1 5.585 * [backup-simplify]: Simplify (+ 0 1) into 1 5.585 * [backup-simplify]: Simplify (sqrt 0) into 0 5.586 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.586 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (sqrt (+ 1.0 (/ 1 x))))) in x 5.586 * [taylor]: Taking taylor expansion of -1 in x 5.586 * [backup-simplify]: Simplify -1 into -1 5.586 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (+ 1.0 (/ 1 x)))) in x 5.586 * [taylor]: Taking taylor expansion of 1.0 in x 5.586 * [backup-simplify]: Simplify 1.0 into 1.0 5.586 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.586 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.586 * [taylor]: Taking taylor expansion of 1.0 in x 5.586 * [backup-simplify]: Simplify 1.0 into 1.0 5.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.586 * [taylor]: Taking taylor expansion of x in x 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.587 * [backup-simplify]: Simplify (/ 1 1) into 1 5.587 * [backup-simplify]: Simplify (+ 0 1) into 1 5.587 * [backup-simplify]: Simplify (sqrt 0) into 0 5.588 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.588 * [backup-simplify]: Simplify (- 0) into 0 5.588 * [backup-simplify]: Simplify (+ 0 0) into 0 5.589 * [backup-simplify]: Simplify (* -1 0) into 0 5.589 * [backup-simplify]: Simplify 0 into 0 5.589 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.589 * [backup-simplify]: Simplify (+ 1.0 (- +nan.0)) into (- +nan.0) 5.591 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0) 5.591 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.592 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.594 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.594 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.594 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.596 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0) 5.596 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.597 * [backup-simplify]: Simplify (+ 0 0) into 0 5.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.599 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.600 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.602 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 5.602 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.603 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 5.603 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (/ (- (* 1.0 1.0) (+ (/ 1 (- x)) 1.0)) (- 1.0 (sqrt (+ (/ 1 (- x)) 1.0))))) into (* -1 (- 1.0 (sqrt (- 1.0 (/ 1 x))))) 5.603 * [approximate]: Taking taylor expansion of (* -1 (- 1.0 (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 5.603 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (sqrt (- 1.0 (/ 1 x))))) in x 5.603 * [taylor]: Taking taylor expansion of -1 in x 5.603 * [backup-simplify]: Simplify -1 into -1 5.603 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (- 1.0 (/ 1 x)))) in x 5.604 * [taylor]: Taking taylor expansion of 1.0 in x 5.604 * [backup-simplify]: Simplify 1.0 into 1.0 5.604 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.604 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.604 * [taylor]: Taking taylor expansion of 1.0 in x 5.604 * [backup-simplify]: Simplify 1.0 into 1.0 5.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.604 * [taylor]: Taking taylor expansion of x in x 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.604 * [backup-simplify]: Simplify (/ 1 1) into 1 5.604 * [backup-simplify]: Simplify (- 1) into -1 5.604 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.605 * [backup-simplify]: Simplify (sqrt 0) into 0 5.612 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.612 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (sqrt (- 1.0 (/ 1 x))))) in x 5.612 * [taylor]: Taking taylor expansion of -1 in x 5.612 * [backup-simplify]: Simplify -1 into -1 5.612 * [taylor]: Taking taylor expansion of (- 1.0 (sqrt (- 1.0 (/ 1 x)))) in x 5.612 * [taylor]: Taking taylor expansion of 1.0 in x 5.612 * [backup-simplify]: Simplify 1.0 into 1.0 5.612 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.612 * [taylor]: Taking taylor expansion of 1.0 in x 5.612 * [backup-simplify]: Simplify 1.0 into 1.0 5.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.612 * [taylor]: Taking taylor expansion of x in x 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [backup-simplify]: Simplify (/ 1 1) into 1 5.613 * [backup-simplify]: Simplify (- 1) into -1 5.613 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.613 * [backup-simplify]: Simplify (sqrt 0) into 0 5.614 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.614 * [backup-simplify]: Simplify (- 0) into 0 5.615 * [backup-simplify]: Simplify (+ 0 0) into 0 5.615 * [backup-simplify]: Simplify (* -1 0) into 0 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.616 * [backup-simplify]: Simplify (+ 1.0 (- +nan.0)) into (- +nan.0) 5.617 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0) 5.617 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.618 * [backup-simplify]: Simplify (- 0) into 0 5.618 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.620 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.620 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.621 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.623 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))) into (- +nan.0) 5.623 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.624 * [backup-simplify]: Simplify (- 0) into 0 5.624 * [backup-simplify]: Simplify (+ 0 0) into 0 5.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.627 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.627 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.629 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 5.629 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.630 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 5.631 * * * [progress]: simplifying candidates 5.636 * [simplify]: Simplifying: (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (fma (- (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (cbrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))))) (fma (- (sqrt (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (fma (- (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ x 1.0)) (sqrt 1)))) (fma (- (sqrt (+ x 1.0))) (sqrt 1) (* (sqrt (+ x 1.0)) (sqrt 1))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ x 1.0)) (sqrt 1)))) (fma (- (sqrt (+ x 1.0))) (sqrt 1) (* (sqrt (+ x 1.0)) (sqrt 1))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (fma (- (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (+ x 1.0)) 1))) (fma (- (sqrt (+ x 1.0))) 1 (* (sqrt (+ x 1.0)) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (fma (- (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (cbrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))))) (fma (- (sqrt (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (fma (- (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ x 1.0)) (sqrt 1)))) (fma (- (sqrt (+ x 1.0))) (sqrt 1) (* (sqrt (+ x 1.0)) (sqrt 1))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ x 1.0)) (sqrt 1)))) (fma (- (sqrt (+ x 1.0))) (sqrt 1) (* (sqrt (+ x 1.0)) (sqrt 1))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (fma (- (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (+ x 1.0)) 1))) (fma (- (sqrt (+ x 1.0))) 1 (* (sqrt (+ x 1.0)) 1)) (fma 1 1.0 (- (* (cbrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (fma (- (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (fma 1 1.0 (- (* (sqrt (cbrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))))) (fma (- (sqrt (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (fma 1 1.0 (- (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (fma (- (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (fma 1 1.0 (- (* (sqrt (+ x 1.0)) (sqrt 1)))) (fma (- (sqrt (+ x 1.0))) (sqrt 1) (* (sqrt (+ x 1.0)) (sqrt 1))) (fma 1 1.0 (- (* (sqrt (+ x 1.0)) (sqrt 1)))) (fma (- (sqrt (+ x 1.0))) (sqrt 1) (* (sqrt (+ x 1.0)) (sqrt 1))) (fma 1 1.0 (- (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (fma (- (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (fma 1 1.0 (- (* (sqrt (+ x 1.0)) 1))) (fma (- (sqrt (+ x 1.0))) 1 (* (sqrt (+ x 1.0)) 1)) (expm1 (- 1.0 (sqrt (+ x 1.0)))) (log1p (- 1.0 (sqrt (+ x 1.0)))) (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0))) (- (sqrt (+ x 1.0))) (/ (exp 1.0) (exp (sqrt (+ x 1.0)))) (log (- 1.0 (sqrt (+ x 1.0)))) (exp (- 1.0 (sqrt (+ x 1.0)))) (* (cbrt (- 1.0 (sqrt (+ x 1.0)))) (cbrt (- 1.0 (sqrt 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Extracting # 2 : cost 0 5.648 * * [simplify]: Extracting # 3 : cost 0 5.648 * * [simplify]: Extracting # 4 : cost 0 5.649 * * [simplify]: Extracting # 5 : cost 0 5.650 * * [simplify]: Extracting # 6 : cost 0 5.651 * * [simplify]: Extracting # 7 : cost 0 5.651 * * [simplify]: Extracting # 8 : cost 0 5.652 * * [simplify]: Extracting # 9 : cost 0 5.653 * * [simplify]: iteration 0 : 394 enodes (cost 7117 ) 5.804 * * [simplify]: Extracting # 0 : cost 0 5.805 * * [simplify]: Extracting # 1 : cost 0 5.807 * * [simplify]: Extracting # 2 : cost 0 5.808 * * [simplify]: Extracting # 3 : cost 0 5.810 * * [simplify]: Extracting # 4 : cost 0 5.811 * * [simplify]: iteration 1 : 932 enodes (cost 6372 ) 6.375 * * [simplify]: Extracting # 0 : cost 0 6.380 * * [simplify]: Extracting # 1 : cost 0 6.386 * * [simplify]: Extracting # 2 : cost 0 6.395 * * [simplify]: Extracting # 3 : cost 0 6.400 * * [simplify]: Extracting # 4 : cost 0 6.405 * * [simplify]: iteration 2 : 3647 enodes (cost 5453 ) 7.548 * * [simplify]: Extracting # 0 : cost 0 7.556 * * [simplify]: Extracting # 1 : cost 0 7.563 * * [simplify]: Extracting # 2 : cost 0 7.571 * * [simplify]: iteration done: 5002 enodes (cost 5422 ) 7.574 * [simplify]: Simplified to: (- (pow (cbrt 1.0) 3) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) 0) (fma (sqrt (cbrt (+ x 1.0))) (- (fabs (cbrt (+ x 1.0)))) (pow (cbrt 1.0) 3)) (* (fabs (cbrt (+ x 1.0))) (+ (- (sqrt (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))))) (- (pow (cbrt 1.0) 3) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) 0) (- (pow (cbrt 1.0) 3) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) 0) (- (pow (cbrt 1.0) 3) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) 0) (- (pow (cbrt 1.0) 3) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) 0) (- (pow (cbrt 1.0) 3) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) 0) (- 1.0 (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) 0) (- 1.0 (* (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (+ (- (sqrt (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))))) (- 1.0 (sqrt (+ x 1.0))) (* (sqrt (+ x 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x 1.0))))))) (/ x (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (- 1.0 (sqrt (+ x 1.0)))))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (/ (+ 1.0 (sqrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt (sqrt (+ x 1.0)))))) (/ x (/ (+ 1.0 (sqrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt (sqrt (+ x 1.0)))))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) x (/ x (- (* 1.0 1.0) (+ x 1.0))) (/ x (/ (- (* 1.0 1.0) (+ x 1.0)) (- (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (/ x (/ (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))))) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (- (* 1.0 1.0) (+ x 1.0))) (fma (/ (pow x 2) (pow (sqrt 1.0) 3)) 1/8 (- 1.0 (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)))) (+ (- (/ +nan.0 x) +nan.0) (- (/ (/ +nan.0 x) x))) (+ (- (/ +nan.0 x) +nan.0) (- (/ (/ +nan.0 x) x))) (- x) (- x) (- x) (- (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (- 1.0 (sqrt 1.0)) 2)))) (fma 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (- 1.0 (sqrt 1.0)) 2))) (fma (/ (pow x 3) (* (pow (- 1.0 (sqrt 1.0)) 3) 1.0)) 1/4 (/ x (- 1.0 (sqrt 1.0)))))) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)) 1.0)) (+ (- (/ +nan.0 x) +nan.0) (- (/ (/ +nan.0 x) x))) (+ (- (/ +nan.0 x) +nan.0) (- (/ (/ +nan.0 x) x))) 7.576 * * * [progress]: adding candidates to table 8.419 * [progress]: [Phase 3 of 3] Extracting. 8.420 * * [regime]: Finding splitpoints for: (# # #) 8.420 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ 1.0 (sqrt (+ x 1.0)))) x) 8.420 * * * * [regimes]: Trying to branch on (/ x (+ 1.0 (sqrt (+ x 1.0)))) from (# # #) 8.443 * * * * [regimes]: Trying to branch on x from (# # #) 8.459 * * * [regime]: Found split indices: #