0.494 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.118 * * * [progress]: [2/2] Setting up program. 0.124 * [progress]: [Phase 2 of 3] Improving. 0.127 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.129 * * [simplify]: Extracting # 0 : cost 0 0.129 * * [simplify]: Extracting # 1 : cost 0 0.129 * * [simplify]: Extracting # 2 : cost 0 0.129 * * [simplify]: Extracting # 3 : cost 0 0.129 * * [simplify]: Extracting # 4 : cost 0 0.129 * * [simplify]: Extracting # 5 : cost 0 0.129 * * [simplify]: Extracting # 6 : cost 0 0.129 * * [simplify]: Extracting # 7 : cost 0 0.129 * * [simplify]: iteration 0 : 9 enodes (cost 11 ) 0.137 * * [simplify]: Extracting # 0 : cost 0 0.137 * * [simplify]: Extracting # 1 : cost 0 0.137 * * [simplify]: Extracting # 2 : cost 0 0.137 * * [simplify]: iteration 1 : 16 enodes (cost 11 ) 0.143 * * [simplify]: Extracting # 0 : cost 0 0.143 * * [simplify]: Extracting # 1 : cost 0 0.143 * * [simplify]: Extracting # 2 : cost 0 0.143 * * [simplify]: iteration 2 : 19 enodes (cost 11 ) 0.149 * * [simplify]: Extracting # 0 : cost 0 0.149 * * [simplify]: iteration 3 : 21 enodes (cost 11 ) 0.155 * * [simplify]: Extracting # 0 : cost 0 0.155 * * [simplify]: iteration done: 21 enodes (cost 11 ) 0.202 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.205 * * [progress]: iteration 1 / 4 0.205 * * * [progress]: picking best candidate 0.209 * * * * [pick]: Picked # 0.209 * * * [progress]: localizing error 0.232 * * * [progress]: generating rewritten candidates 0.233 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.261 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.287 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.294 * * * [progress]: generating series expansions 0.301 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.306 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 0.306 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.307 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.307 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [backup-simplify]: Simplify 1.0 into 1.0 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [backup-simplify]: Simplify 1.0 into 1.0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.309 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.309 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.309 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.309 * [taylor]: Taking taylor expansion of (- 1.0 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 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 (+ 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 1.0 in x 0.309 * [backup-simplify]: Simplify 1.0 into 1.0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.310 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.310 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.311 * [backup-simplify]: Simplify 1.0 into 1.0 0.311 * [backup-simplify]: Simplify (- 1) into -1 0.311 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.312 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.314 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.318 * [backup-simplify]: Simplify 2.0 into 2.0 0.319 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 0.319 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.319 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.319 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [backup-simplify]: Simplify 1.0 into 1.0 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (- 1) into -1 0.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [backup-simplify]: Simplify (/ -1 1) into -1 0.321 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [backup-simplify]: Simplify 1.0 into 1.0 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [backup-simplify]: Simplify 1.0 into 1.0 0.322 * [backup-simplify]: Simplify (- 1) into -1 0.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (/ -1 1) into -1 0.323 * [backup-simplify]: Simplify -1 into -1 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.327 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.327 * [backup-simplify]: Simplify 2.0 into 2.0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.331 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.332 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.332 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.332 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [backup-simplify]: Simplify 1.0 into 1.0 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [backup-simplify]: Simplify 1.0 into 1.0 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [backup-simplify]: Simplify (+ 1 0) into 1 0.333 * [backup-simplify]: Simplify (- 1) into -1 0.334 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.334 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [backup-simplify]: Simplify 1.0 into 1.0 0.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [backup-simplify]: Simplify 1.0 into 1.0 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (- 1) into -1 0.335 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.336 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.336 * [backup-simplify]: Simplify -1 into -1 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.341 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.341 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.350 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.351 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.351 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.352 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 0.352 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.352 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.352 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.352 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [backup-simplify]: Simplify 1.0 into 1.0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.353 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.354 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.354 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.355 * [backup-simplify]: Simplify (- 1) into -1 0.355 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.355 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.360 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.360 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.361 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.361 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [backup-simplify]: Simplify 1.0 into 1.0 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [backup-simplify]: Simplify 1.0 into 1.0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.362 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.362 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.363 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.363 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.364 * [backup-simplify]: Simplify (- 1) into -1 0.364 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.365 * [backup-simplify]: Simplify (+ 1 0) into 1 0.368 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.370 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.370 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.371 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 0.372 * [backup-simplify]: Simplify (- 0) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.383 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.390 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.398 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 0.399 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 0.399 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.399 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.399 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [backup-simplify]: Simplify 1.0 into 1.0 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.400 * [backup-simplify]: Simplify (- 1) into -1 0.401 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.401 * [backup-simplify]: Simplify (+ 1 0) into 1 0.402 * [backup-simplify]: Simplify (/ -1 1) into -1 0.402 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.408 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.409 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.409 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.409 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [backup-simplify]: Simplify 1.0 into 1.0 0.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [backup-simplify]: Simplify 1.0 into 1.0 0.411 * [backup-simplify]: Simplify (- 1) into -1 0.411 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [backup-simplify]: Simplify (/ -1 1) into -1 0.413 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.419 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.430 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.431 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.432 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.440 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.444 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 0.445 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 0.446 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 0.446 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [backup-simplify]: Simplify 1.0 into 1.0 0.446 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [backup-simplify]: Simplify 1.0 into 1.0 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [backup-simplify]: Simplify (+ 1 0) into 1 0.447 * [backup-simplify]: Simplify (- 1) into -1 0.447 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.447 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.448 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.451 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.452 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.452 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.452 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [backup-simplify]: Simplify 1.0 into 1.0 0.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [backup-simplify]: Simplify 1.0 into 1.0 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [backup-simplify]: Simplify (+ 1 0) into 1 0.453 * [backup-simplify]: Simplify (- 1) into -1 0.454 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.454 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.454 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- 0) into 0 0.456 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.457 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.459 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.459 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.460 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.472 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.478 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 0.481 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 0.481 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.482 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.482 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.482 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.484 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.484 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.484 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.485 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.485 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.485 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.485 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.486 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.486 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.486 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.486 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.487 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.487 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.487 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.487 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.487 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.488 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.488 * [backup-simplify]: Simplify (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.489 * * * [progress]: simplifying candidates 0.492 * [simplify]: Simplifying: (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.496 * * [simplify]: Extracting # 0 : cost 0 0.496 * * [simplify]: Extracting # 1 : cost 0 0.497 * * [simplify]: Extracting # 2 : cost 0 0.497 * * [simplify]: Extracting # 3 : cost 0 0.497 * * [simplify]: Extracting # 4 : cost 0 0.497 * * [simplify]: Extracting # 5 : cost 0 0.498 * * [simplify]: Extracting # 6 : cost 0 0.498 * * [simplify]: Extracting # 7 : cost 0 0.498 * * [simplify]: Extracting # 8 : cost 0 0.498 * * [simplify]: iteration 0 : 168 enodes (cost 1479 ) 0.544 * * [simplify]: Extracting # 0 : cost 0 0.545 * * [simplify]: Extracting # 1 : cost 0 0.546 * * [simplify]: Extracting # 2 : cost 0 0.547 * * [simplify]: Extracting # 3 : cost 0 0.547 * * [simplify]: Extracting # 4 : cost 0 0.548 * * [simplify]: iteration 1 : 370 enodes (cost 1398 ) 0.726 * * [simplify]: Extracting # 0 : cost 0 0.727 * * [simplify]: Extracting # 1 : cost 0 0.729 * * [simplify]: Extracting # 2 : cost 0 0.731 * * [simplify]: Extracting # 3 : cost 0 0.733 * * [simplify]: Extracting # 4 : cost 0 0.735 * * [simplify]: iteration 2 : 1473 enodes (cost 1313 ) 1.511 * * [simplify]: Extracting # 0 : cost 0 1.523 * * [simplify]: Extracting # 1 : cost 0 1.531 * * [simplify]: Extracting # 2 : cost 0 1.546 * * [simplify]: Extracting # 3 : cost 0 1.553 * * [simplify]: Extracting # 4 : cost 0 1.560 * * [simplify]: iteration done: 5001 enodes (cost 1311 ) 1.561 * [simplify]: Simplified to: (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (fma 1.0 1.0 (* x (+ 1.0 x))) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (fma 1.0 1.0 (* x (- x 1.0)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (fma 2.0 (* x x) 1.0) (* 2.0 x)) (- (/ 2.0 x) (+ 1 (/ 2.0 (* x x)))) (- (/ 2.0 x) (+ 1 (/ 2.0 (* x x)))) (- (fma (/ (pow x 2) (sqrt 1.0)) 1.0 (sqrt 1.0)) (fma 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 1.0 (/ x (sqrt 1.0))))) (+ (- (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ 1.0 (* x (sqrt -1)))) (+ (- (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ 1.0 (* x (sqrt -1)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 1.562 * * * [progress]: adding candidates to table 2.013 * * [progress]: iteration 2 / 4 2.013 * * * [progress]: picking best candidate 2.018 * * * * [pick]: Picked # 2.018 * * * [progress]: localizing error 2.055 * * * [progress]: generating rewritten candidates 2.055 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) 2.105 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.106 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.107 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 2.143 * * * [progress]: generating series expansions 2.143 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 1) 2.143 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 2.143 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 2.144 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.144 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.144 * [taylor]: Taking taylor expansion of 1.0 in x 2.144 * [backup-simplify]: Simplify 1.0 into 1.0 2.144 * [taylor]: Taking taylor expansion of x in x 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.144 * [taylor]: Taking taylor expansion of x in x 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [taylor]: Taking taylor expansion of 1.0 in x 2.144 * [backup-simplify]: Simplify 1.0 into 1.0 2.144 * [backup-simplify]: Simplify (- 0) into 0 2.145 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.145 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.145 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.145 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.145 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.145 * [taylor]: Taking taylor expansion of 1.0 in x 2.145 * [backup-simplify]: Simplify 1.0 into 1.0 2.145 * [taylor]: Taking taylor expansion of x in x 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.145 * [taylor]: Taking taylor expansion of x in x 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [taylor]: Taking taylor expansion of 1.0 in x 2.146 * [backup-simplify]: Simplify 1.0 into 1.0 2.146 * [backup-simplify]: Simplify (- 0) into 0 2.146 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.146 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.147 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.147 * [backup-simplify]: Simplify 1.0 into 1.0 2.147 * [backup-simplify]: Simplify (- 1) into -1 2.147 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.148 * [backup-simplify]: Simplify (+ 1 0) into 1 2.149 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 2.150 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.150 * [backup-simplify]: Simplify (- 0) into 0 2.150 * [backup-simplify]: Simplify (+ 0 0) into 0 2.150 * [backup-simplify]: Simplify (+ 0 0) into 0 2.153 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 2.153 * [backup-simplify]: Simplify 2.0 into 2.0 2.154 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 2.154 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 2.154 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 2.154 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.154 * [taylor]: Taking taylor expansion of 1.0 in x 2.154 * [backup-simplify]: Simplify 1.0 into 1.0 2.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.154 * [taylor]: Taking taylor expansion of x in x 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify (/ 1 1) into 1 2.154 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.154 * [taylor]: Taking taylor expansion of x in x 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (/ 1 1) into 1 2.155 * [taylor]: Taking taylor expansion of 1.0 in x 2.155 * [backup-simplify]: Simplify 1.0 into 1.0 2.155 * [backup-simplify]: Simplify (- 1) into -1 2.155 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.155 * [backup-simplify]: Simplify (+ 1 0) into 1 2.156 * [backup-simplify]: Simplify (/ -1 1) into -1 2.156 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.156 * [taylor]: Taking taylor expansion of 1.0 in x 2.156 * [backup-simplify]: Simplify 1.0 into 1.0 2.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.156 * [taylor]: Taking taylor expansion of x in x 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (/ 1 1) into 1 2.156 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.156 * [taylor]: Taking taylor expansion of x in x 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (/ 1 1) into 1 2.157 * [taylor]: Taking taylor expansion of 1.0 in x 2.157 * [backup-simplify]: Simplify 1.0 into 1.0 2.157 * [backup-simplify]: Simplify (- 1) into -1 2.157 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.158 * [backup-simplify]: Simplify (+ 1 0) into 1 2.158 * [backup-simplify]: Simplify (/ -1 1) into -1 2.158 * [backup-simplify]: Simplify -1 into -1 2.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.159 * [backup-simplify]: Simplify (- 0) into 0 2.160 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.164 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 2.164 * [backup-simplify]: Simplify 2.0 into 2.0 2.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (- 0) into 0 2.166 * [backup-simplify]: Simplify (+ 0 0) into 0 2.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 2.172 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.173 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 2.173 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 2.173 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 2.173 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.174 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.174 * [taylor]: Taking taylor expansion of x in x 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (/ 1 1) into 1 2.174 * [taylor]: Taking taylor expansion of 1.0 in x 2.174 * [backup-simplify]: Simplify 1.0 into 1.0 2.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.174 * [taylor]: Taking taylor expansion of 1.0 in x 2.174 * [backup-simplify]: Simplify 1.0 into 1.0 2.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.174 * [taylor]: Taking taylor expansion of x in x 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (/ 1 1) into 1 2.175 * [backup-simplify]: Simplify (+ 1 0) into 1 2.176 * [backup-simplify]: Simplify (- 1) into -1 2.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.177 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.177 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.177 * [taylor]: Taking taylor expansion of x in x 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (/ 1 1) into 1 2.177 * [taylor]: Taking taylor expansion of 1.0 in x 2.177 * [backup-simplify]: Simplify 1.0 into 1.0 2.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.177 * [taylor]: Taking taylor expansion of 1.0 in x 2.178 * [backup-simplify]: Simplify 1.0 into 1.0 2.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.178 * [taylor]: Taking taylor expansion of x in x 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (/ 1 1) into 1 2.178 * [backup-simplify]: Simplify (+ 1 0) into 1 2.179 * [backup-simplify]: Simplify (- 1) into -1 2.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.180 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.180 * [backup-simplify]: Simplify -1 into -1 2.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.181 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (- 0) into 0 2.183 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.186 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 2.186 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (+ 0 0) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (- 0) into 0 2.189 * [backup-simplify]: Simplify (+ 0 0) into 0 2.194 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 2.195 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 2.196 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 2.196 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.196 * [backup-simplify]: Simplify (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) into (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) 2.196 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in (x) around 0 2.196 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 2.197 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1) 2.197 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 2.197 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.197 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0))))) 2.197 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.197 * [taylor]: Taking taylor expansion of 1 in x 2.197 * [backup-simplify]: Simplify 1 into 1 2.197 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.197 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.197 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.197 * [taylor]: Taking taylor expansion of 1.0 in x 2.197 * [backup-simplify]: Simplify 1.0 into 1.0 2.197 * [taylor]: Taking taylor expansion of x in x 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.198 * [taylor]: Taking taylor expansion of x in x 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [taylor]: Taking taylor expansion of 1.0 in x 2.198 * [backup-simplify]: Simplify 1.0 into 1.0 2.198 * [backup-simplify]: Simplify (- 0) into 0 2.199 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.199 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.200 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.200 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.200 * [backup-simplify]: Simplify (- 1) into -1 2.201 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.201 * [backup-simplify]: Simplify (+ 1 0) into 1 2.204 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 2.206 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 2.207 * [backup-simplify]: Simplify (+ 1 (sqrt 1.0)) into (+ (sqrt 1.0) 1) 2.209 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1)) into (log (+ (sqrt 1.0) 1)) 2.211 * [backup-simplify]: Simplify (exp (log (+ (sqrt 1.0) 1))) into (+ (sqrt 1.0) 1) 2.211 * [taylor]: Taking taylor expansion of 1 in x 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 2.211 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1) 2.211 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 2.212 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.212 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0))))) 2.212 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.212 * [taylor]: Taking taylor expansion of 1 in x 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.212 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.212 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.212 * [taylor]: Taking taylor expansion of 1.0 in x 2.212 * [backup-simplify]: Simplify 1.0 into 1.0 2.212 * [taylor]: Taking taylor expansion of x in x 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.212 * [taylor]: Taking taylor expansion of x in x 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [taylor]: Taking taylor expansion of 1.0 in x 2.212 * [backup-simplify]: Simplify 1.0 into 1.0 2.213 * [backup-simplify]: Simplify (- 0) into 0 2.213 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.213 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.214 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.214 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.215 * [backup-simplify]: Simplify (- 1) into -1 2.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.215 * [backup-simplify]: Simplify (+ 1 0) into 1 2.218 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 2.221 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 2.222 * [backup-simplify]: Simplify (+ 1 (sqrt 1.0)) into (+ (sqrt 1.0) 1) 2.223 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1)) into (log (+ (sqrt 1.0) 1)) 2.226 * [backup-simplify]: Simplify (exp (log (+ (sqrt 1.0) 1))) into (+ (sqrt 1.0) 1) 2.226 * [taylor]: Taking taylor expansion of 1 in x 2.226 * [backup-simplify]: Simplify 1 into 1 2.226 * [backup-simplify]: Simplify (- 1) into -1 2.228 * [backup-simplify]: Simplify (+ (+ (sqrt 1.0) 1) -1) into (sqrt 1.0) 2.228 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.231 * [backup-simplify]: Simplify (+ 0 (/ -1.0 (sqrt 1.0))) into (- (* 1.0 (/ 1 (sqrt 1.0)))) 2.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt 1.0))))) 1)) (pow (+ (sqrt 1.0) 1) 1)))) 1) into (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) 2.253 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt 1.0) 1))) (+ (* (/ (pow (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) 1) 1)))) into (/ -1.0 (sqrt 1.0)) 2.253 * [backup-simplify]: Simplify (- 0) into 0 2.254 * [backup-simplify]: Simplify (+ (/ -1.0 (sqrt 1.0)) 0) into (- (* 1.0 (/ 1 (sqrt 1.0)))) 2.255 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (sqrt 1.0)))) into (- (* 1.0 (/ 1 (sqrt 1.0)))) 2.256 * [backup-simplify]: Simplify (- 0) into 0 2.256 * [backup-simplify]: Simplify (+ 0 0) into 0 2.256 * [backup-simplify]: Simplify (+ 0 0) into 0 2.259 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 2.268 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 2.273 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0)))) into (- (* 1.0 (/ 1 (sqrt 1.0))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 2.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt 1.0))))) 2)) (pow (+ (sqrt 1.0) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1.0 (/ 1 (sqrt 1.0))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (+ (sqrt 1.0) 1) 1)))) 2) into (* 1/2 (- (* 2.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 1.0 (/ 1 (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2)))) (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) 2.371 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt 1.0) 1))) (+ (* (/ (pow (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) 2) 2)) (* (/ (pow (* 1/2 (- (* 2.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 1.0 (/ 1 (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2)))) (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) 1) 1)))) into (* (+ (sqrt 1.0) 1) (- (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))))) 2.372 * [backup-simplify]: Simplify (- 0) into 0 2.387 * [backup-simplify]: Simplify (+ (* (+ (sqrt 1.0) 1) (- (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))))) 0) into (- (+ (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 1.0 (/ 1 (+ (sqrt 1.0) 1)))) (+ (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))))) 2.419 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 1.0 (/ 1 (+ (sqrt 1.0) 1)))) (+ (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))))) into (- (+ (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 1.0 (/ 1 (+ (sqrt 1.0) 1)))) (+ (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))))) 2.440 * [backup-simplify]: Simplify (+ (* (- (+ (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (* 1.0 (/ 1 (+ (sqrt 1.0) 1)))) (+ (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 0.5 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))))) (pow x 2)) (+ (* (- (* 1.0 (/ 1 (sqrt 1.0)))) x) (sqrt 1.0))) into (- (+ (* 1.0 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (+ (sqrt 1.0) 1))))) (+ (* 1.0 (/ x (sqrt 1.0))) (+ (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))) (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) 2.440 * [backup-simplify]: Simplify (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))))) into (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 2.440 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in (x) around 0 2.440 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 2.441 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1) 2.441 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 2.441 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.441 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 2.441 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.441 * [taylor]: Taking taylor expansion of 1 in x 2.441 * [backup-simplify]: Simplify 1 into 1 2.441 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 2.441 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.441 * [taylor]: Taking taylor expansion of 1.0 in x 2.441 * [backup-simplify]: Simplify 1.0 into 1.0 2.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.441 * [taylor]: Taking taylor expansion of x in x 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.441 * [backup-simplify]: Simplify (/ 1 1) into 1 2.441 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.441 * [taylor]: Taking taylor expansion of x in x 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.441 * [backup-simplify]: Simplify (/ 1 1) into 1 2.441 * [taylor]: Taking taylor expansion of 1.0 in x 2.441 * [backup-simplify]: Simplify 1.0 into 1.0 2.442 * [backup-simplify]: Simplify (- 1) into -1 2.442 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.442 * [backup-simplify]: Simplify (+ 1 0) into 1 2.443 * [backup-simplify]: Simplify (/ -1 1) into -1 2.443 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (- 0) into 0 2.444 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.446 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 2.447 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 2.448 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 2.449 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 2.450 * [backup-simplify]: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) 2.450 * [taylor]: Taking taylor expansion of 1 in x 2.450 * [backup-simplify]: Simplify 1 into 1 2.450 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 2.450 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1) 2.450 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 2.450 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.450 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 2.450 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.450 * [taylor]: Taking taylor expansion of 1 in x 2.450 * [backup-simplify]: Simplify 1 into 1 2.450 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 2.450 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.451 * [taylor]: Taking taylor expansion of 1.0 in x 2.451 * [backup-simplify]: Simplify 1.0 into 1.0 2.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (/ 1 1) into 1 2.451 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (/ 1 1) into 1 2.451 * [taylor]: Taking taylor expansion of 1.0 in x 2.451 * [backup-simplify]: Simplify 1.0 into 1.0 2.451 * [backup-simplify]: Simplify (- 1) into -1 2.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.452 * [backup-simplify]: Simplify (+ 1 0) into 1 2.452 * [backup-simplify]: Simplify (/ -1 1) into -1 2.453 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (- 0) into 0 2.454 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.456 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 2.457 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 2.458 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 2.459 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 2.460 * [backup-simplify]: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) 2.460 * [taylor]: Taking taylor expansion of 1 in x 2.460 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (- 1) into -1 2.461 * [backup-simplify]: Simplify (+ (+ (sqrt -1) 1) -1) into (sqrt -1) 2.462 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.463 * [backup-simplify]: Simplify (+ 0 (/ 1.0 (sqrt -1))) into (* 1.0 (/ 1 (sqrt -1))) 2.471 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1.0 (/ 1 (sqrt -1)))) 1)) (pow (+ (sqrt -1) 1) 1)))) 1) into (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 2.483 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 1) 1)))) into (/ 1.0 (sqrt -1)) 2.484 * [backup-simplify]: Simplify (- 0) into 0 2.485 * [backup-simplify]: Simplify (+ (/ 1.0 (sqrt -1)) 0) into (* 1.0 (/ 1 (sqrt -1))) 2.487 * [backup-simplify]: Simplify (* 1.0 (/ 1 (sqrt -1))) into (/ 1.0 (sqrt -1)) 2.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (- 0) into 0 2.489 * [backup-simplify]: Simplify (+ 0 0) into 0 2.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.490 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 2.501 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 2.509 * [backup-simplify]: Simplify (+ 0 (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 2.543 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1.0 (/ 1 (sqrt -1)))) 2)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.5 (/ 1 (sqrt -1))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))) 2.568 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 2) 2)) (* (/ (pow (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))) 1) 1)))) into (* (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 0.5 (/ 1 (pow (+ (sqrt -1) 1) 2)))) (* 0.5 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))) (+ (sqrt -1) 1)) 2.568 * [backup-simplify]: Simplify (- 0) into 0 2.593 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 0.5 (/ 1 (pow (+ (sqrt -1) 1) 2)))) (* 0.5 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))) (+ (sqrt -1) 1)) 0) into (- (* 0.5 (/ 1 (sqrt -1)))) 2.595 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 2.599 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 2.599 * [backup-simplify]: Simplify (expm1 (log1p (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))))) into (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 2.599 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in (x) around 0 2.599 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 2.599 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1) 2.599 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 2.599 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 2.599 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 2.599 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 2.599 * [taylor]: Taking taylor expansion of 1 in x 2.599 * [backup-simplify]: Simplify 1 into 1 2.599 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.599 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.599 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.599 * [taylor]: Taking taylor expansion of x in x 2.599 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify 1 into 1 2.600 * [backup-simplify]: Simplify (/ 1 1) into 1 2.600 * [taylor]: Taking taylor expansion of 1.0 in x 2.600 * [backup-simplify]: Simplify 1.0 into 1.0 2.600 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.600 * [taylor]: Taking taylor expansion of 1.0 in x 2.600 * [backup-simplify]: Simplify 1.0 into 1.0 2.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.600 * [taylor]: Taking taylor expansion of x in x 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [backup-simplify]: Simplify (/ 1 1) into 1 2.600 * [backup-simplify]: Simplify (+ 1 0) into 1 2.600 * [backup-simplify]: Simplify (- 1) into -1 2.601 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.601 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.601 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.602 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.603 * [backup-simplify]: Simplify (- 0) into 0 2.603 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.605 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 2.606 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 2.607 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 2.608 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 2.609 * [backup-simplify]: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) 2.609 * [taylor]: Taking taylor expansion of 1 in x 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 2.609 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1) 2.609 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 2.609 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 2.610 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 2.610 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 2.610 * [taylor]: Taking taylor expansion of 1 in x 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 2.610 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 2.610 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (/ 1 1) into 1 2.610 * [taylor]: Taking taylor expansion of 1.0 in x 2.610 * [backup-simplify]: Simplify 1.0 into 1.0 2.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.610 * [taylor]: Taking taylor expansion of 1.0 in x 2.610 * [backup-simplify]: Simplify 1.0 into 1.0 2.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (/ 1 1) into 1 2.611 * [backup-simplify]: Simplify (+ 1 0) into 1 2.611 * [backup-simplify]: Simplify (- 1) into -1 2.611 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.611 * [backup-simplify]: Simplify (/ 1 -1) into -1 2.612 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.612 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.613 * [backup-simplify]: Simplify (- 0) into 0 2.613 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.615 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 2.616 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 2.617 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 2.618 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 2.619 * [backup-simplify]: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) 2.619 * [taylor]: Taking taylor expansion of 1 in x 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (- 1) into -1 2.620 * [backup-simplify]: Simplify (+ (+ (sqrt -1) 1) -1) into (sqrt -1) 2.620 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.621 * [backup-simplify]: Simplify (+ 0 (/ -1.0 (sqrt -1))) into (- (* 1.0 (/ 1 (sqrt -1)))) 2.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt -1))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 1) into (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 2.645 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 1) 1)))) into (/ -1.0 (sqrt -1)) 2.645 * [backup-simplify]: Simplify (- 0) into 0 2.655 * [backup-simplify]: Simplify (+ (/ -1.0 (sqrt -1)) 0) into (- (* 1.0 (/ 1 (sqrt -1)))) 2.658 * [backup-simplify]: Simplify (- (* 1.0 (/ 1 (sqrt -1)))) into (- (* 1.0 (/ 1 (sqrt -1)))) 2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.660 * [backup-simplify]: Simplify (+ 0 0) into 0 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.661 * [backup-simplify]: Simplify (- 0) into 0 2.661 * [backup-simplify]: Simplify (+ 0 0) into 0 2.666 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 2.673 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 2.681 * [backup-simplify]: Simplify (+ 0 (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 2.711 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt -1))))) 2)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.5 (/ 1 (sqrt -1))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))) 2.736 * [backup-simplify]: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 2) 2)) (* (/ (pow (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))) 1) 1)))) into (* (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 0.5 (/ 1 (pow (+ (sqrt -1) 1) 2)))) (* 0.5 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))) (+ (sqrt -1) 1)) 2.736 * [backup-simplify]: Simplify (- 0) into 0 2.760 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.5 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 0.5 (/ 1 (pow (+ (sqrt -1) 1) 2)))) (* 0.5 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1))))) (+ (sqrt -1) 1)) 0) into (- (* 0.5 (/ 1 (sqrt -1)))) 2.762 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 2.768 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 1.0 (/ 1 (sqrt -1)))) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 2.768 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.768 * [backup-simplify]: Simplify (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) into (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) 2.768 * [approximate]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 2.769 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.769 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0))))) 2.769 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.769 * [taylor]: Taking taylor expansion of 1 in x 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.769 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.769 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.769 * [taylor]: Taking taylor expansion of 1.0 in x 2.769 * [backup-simplify]: Simplify 1.0 into 1.0 2.769 * [taylor]: Taking taylor expansion of x in x 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.769 * [taylor]: Taking taylor expansion of x in x 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [taylor]: Taking taylor expansion of 1.0 in x 2.769 * [backup-simplify]: Simplify 1.0 into 1.0 2.770 * [backup-simplify]: Simplify (- 0) into 0 2.770 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.770 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.771 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.771 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.772 * [backup-simplify]: Simplify (- 1) into -1 2.772 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.773 * [backup-simplify]: Simplify (+ 1 0) into 1 2.775 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 2.785 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 2.786 * [backup-simplify]: Simplify (+ 1 (sqrt 1.0)) into (+ (sqrt 1.0) 1) 2.788 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1)) into (log (+ (sqrt 1.0) 1)) 2.788 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.788 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0))))) 2.788 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 2.788 * [taylor]: Taking taylor expansion of 1 in x 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 2.788 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 2.788 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 2.788 * [taylor]: Taking taylor expansion of 1.0 in x 2.788 * [backup-simplify]: Simplify 1.0 into 1.0 2.788 * [taylor]: Taking taylor expansion of x in x 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.788 * [taylor]: Taking taylor expansion of x in x 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [taylor]: Taking taylor expansion of 1.0 in x 2.788 * [backup-simplify]: Simplify 1.0 into 1.0 2.789 * [backup-simplify]: Simplify (- 0) into 0 2.789 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.790 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.790 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 2.790 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.791 * [backup-simplify]: Simplify (- 1) into -1 2.791 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.792 * [backup-simplify]: Simplify (+ 1 0) into 1 2.794 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 2.796 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 2.797 * [backup-simplify]: Simplify (+ 1 (sqrt 1.0)) into (+ (sqrt 1.0) 1) 2.799 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1)) into (log (+ (sqrt 1.0) 1)) 2.800 * [backup-simplify]: Simplify (log (+ (sqrt 1.0) 1)) into (log (+ (sqrt 1.0) 1)) 2.802 * [backup-simplify]: Simplify (+ 0 (/ -1.0 (sqrt 1.0))) into (- (* 1.0 (/ 1 (sqrt 1.0)))) 2.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt 1.0))))) 1)) (pow (+ (sqrt 1.0) 1) 1)))) 1) into (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) 2.819 * [backup-simplify]: Simplify (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) into (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) 2.820 * [backup-simplify]: Simplify (- 0) into 0 2.820 * [backup-simplify]: Simplify (+ 0 0) into 0 2.821 * [backup-simplify]: Simplify (+ 0 0) into 0 2.825 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 2.831 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 2.840 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0)))) into (- (* 1.0 (/ 1 (sqrt 1.0))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3)))) 2.872 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt 1.0))))) 2)) (pow (+ (sqrt 1.0) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1.0 (/ 1 (sqrt 1.0))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 1)) (pow (+ (sqrt 1.0) 1) 1)))) 2) into (* 1/2 (- (* 2.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 1.0 (/ 1 (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2)))) (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) 2.886 * [backup-simplify]: Simplify (* 1/2 (- (* 2.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 1.0 (/ 1 (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2)))) (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) into (* 1/2 (- (* 2.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 1.0 (/ 1 (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2)))) (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) 2.914 * [backup-simplify]: Simplify (+ (* (* 1/2 (- (* 2.0 (/ 1 (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 1.0 (/ 1 (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2)))) (* 1.0 (/ 1 (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) (pow x 2)) (+ (* (/ -1.0 (* (+ (sqrt 1.0) 1) (sqrt 1.0))) x) (log (+ (sqrt 1.0) 1)))) into (- (+ (* 1.0 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (log (+ (sqrt 1.0) 1))) (+ (* 1.0 (/ x (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2)))) (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) 2.914 * [backup-simplify]: Simplify (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 2.914 * [approximate]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 2.914 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.914 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 2.914 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.914 * [taylor]: Taking taylor expansion of 1 in x 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 2.914 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.914 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.914 * [taylor]: Taking taylor expansion of 1.0 in x 2.914 * [backup-simplify]: Simplify 1.0 into 1.0 2.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (/ 1 1) into 1 2.915 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.915 * [taylor]: Taking taylor expansion of x in x 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (/ 1 1) into 1 2.915 * [taylor]: Taking taylor expansion of 1.0 in x 2.915 * [backup-simplify]: Simplify 1.0 into 1.0 2.915 * [backup-simplify]: Simplify (- 1) into -1 2.915 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.916 * [backup-simplify]: Simplify (+ 1 0) into 1 2.916 * [backup-simplify]: Simplify (/ -1 1) into -1 2.916 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (- 0) into 0 2.917 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.920 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 2.921 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 2.922 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 2.923 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 2.923 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.923 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 2.923 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 2.923 * [taylor]: Taking taylor expansion of 1 in x 2.923 * [backup-simplify]: Simplify 1 into 1 2.923 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 2.923 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 2.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.923 * [taylor]: Taking taylor expansion of 1.0 in x 2.923 * [backup-simplify]: Simplify 1.0 into 1.0 2.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.923 * [taylor]: Taking taylor expansion of x in x 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.923 * [backup-simplify]: Simplify (/ 1 1) into 1 2.923 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 2.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.923 * [taylor]: Taking taylor expansion of x in x 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (/ 1 1) into 1 2.924 * [taylor]: Taking taylor expansion of 1.0 in x 2.924 * [backup-simplify]: Simplify 1.0 into 1.0 2.924 * [backup-simplify]: Simplify (- 1) into -1 2.924 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.924 * [backup-simplify]: Simplify (+ 1 0) into 1 2.925 * [backup-simplify]: Simplify (/ -1 1) into -1 2.925 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.926 * [backup-simplify]: Simplify (- 0) into 0 2.926 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.929 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 2.930 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 2.930 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 2.931 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 2.932 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 2.933 * [backup-simplify]: Simplify (+ 0 (/ 1.0 (sqrt -1))) into (* 1.0 (/ 1 (sqrt -1))) 2.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1.0 (/ 1 (sqrt -1)))) 1)) (pow (+ (sqrt -1) 1) 1)))) 1) into (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 2.943 * [backup-simplify]: Simplify (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) into (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.945 * [backup-simplify]: Simplify (+ 0 0) into 0 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (+ 0 0) into 0 2.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 2.957 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 2.966 * [backup-simplify]: Simplify (+ 0 (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 2.989 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1.0 (/ 1 (sqrt -1)))) 2)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.5 (/ 1 (sqrt -1))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))) 2.997 * [backup-simplify]: Simplify (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))) into (* -1/2 (- (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))) (* 1.0 (/ 1 (pow (+ (sqrt -1) 1) 2))))) 3.006 * [backup-simplify]: Simplify (+ (* (* -1/2 (- (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))) (* 1.0 (/ 1 (pow (+ (sqrt -1) 1) 2))))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (* (sqrt -1) (+ (sqrt -1) 1))) (/ 1 x)) (log (+ (sqrt -1) 1)))) into (- (+ (log (+ (sqrt -1) 1)) (+ (* 1.0 (/ 1 (* x (* (sqrt -1) (+ (sqrt -1) 1))))) (* 0.5 (/ 1 (* (pow x 2) (pow (+ (sqrt -1) 1) 2)))))) (* 0.5 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1)))))) 3.006 * [backup-simplify]: Simplify (log1p (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 3.006 * [approximate]: Taking taylor expansion of (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 3.006 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.006 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 3.007 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.007 * [taylor]: Taking taylor expansion of 1 in x 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.007 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.007 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.007 * [taylor]: Taking taylor expansion of x in x 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.007 * [taylor]: Taking taylor expansion of 1.0 in x 3.007 * [backup-simplify]: Simplify 1.0 into 1.0 3.007 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.007 * [taylor]: Taking taylor expansion of 1.0 in x 3.007 * [backup-simplify]: Simplify 1.0 into 1.0 3.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.007 * [taylor]: Taking taylor expansion of x in x 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.008 * [backup-simplify]: Simplify (+ 1 0) into 1 3.008 * [backup-simplify]: Simplify (- 1) into -1 3.008 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.008 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.009 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.010 * [backup-simplify]: Simplify (- 0) into 0 3.016 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.018 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.019 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.020 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 3.021 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 3.021 * [taylor]: Taking taylor expansion of (log1p (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.021 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 3.021 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 3.021 * [taylor]: Taking taylor expansion of 1 in x 3.021 * [backup-simplify]: Simplify 1 into 1 3.021 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.021 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.021 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.021 * [taylor]: Taking taylor expansion of x in x 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 1 into 1 3.021 * [backup-simplify]: Simplify (/ 1 1) into 1 3.021 * [taylor]: Taking taylor expansion of 1.0 in x 3.021 * [backup-simplify]: Simplify 1.0 into 1.0 3.021 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.021 * [taylor]: Taking taylor expansion of 1.0 in x 3.021 * [backup-simplify]: Simplify 1.0 into 1.0 3.022 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 3.022 * [backup-simplify]: Simplify (+ 1 0) into 1 3.022 * [backup-simplify]: Simplify (- 1) into -1 3.023 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.023 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.023 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (- 0) into 0 3.025 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.026 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.028 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.028 * [backup-simplify]: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) 3.029 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 3.031 * [backup-simplify]: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) 3.033 * [backup-simplify]: Simplify (+ 0 (/ -1.0 (sqrt -1))) into (- (* 1.0 (/ 1 (sqrt -1)))) 3.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt -1))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 1) into (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 3.051 * [backup-simplify]: Simplify (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) into (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (+ 0 0) into 0 3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.054 * [backup-simplify]: Simplify (- 0) into 0 3.054 * [backup-simplify]: Simplify (+ 0 0) into 0 3.059 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 3.065 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.073 * [backup-simplify]: Simplify (+ 0 (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 3.107 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1.0 (/ 1 (sqrt -1))))) 2)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.5 (/ 1 (sqrt -1))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 2) into (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))) 3.120 * [backup-simplify]: Simplify (* -1/2 (+ (* 1.0 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))))) into (* -1/2 (- (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))) (* 1.0 (/ 1 (pow (+ (sqrt -1) 1) 2))))) 3.129 * [backup-simplify]: Simplify (+ (* (* -1/2 (- (* 1.0 (/ 1 (* (sqrt -1) (+ (sqrt -1) 1)))) (* 1.0 (/ 1 (pow (+ (sqrt -1) 1) 2))))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (* (sqrt -1) (+ (sqrt -1) 1))) (/ 1 (- x))) (log (+ (sqrt -1) 1)))) into (- (+ (log (+ (sqrt -1) 1)) (+ (* 1.0 (/ 1 (* x (* (sqrt -1) (+ (sqrt -1) 1))))) (* 0.5 (/ 1 (* (pow x 2) (pow (+ (sqrt -1) 1) 2)))))) (* 0.5 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1)))))) 3.129 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 3.129 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 3.129 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 3.129 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 3.129 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.129 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.129 * [taylor]: Taking taylor expansion of 1.0 in x 3.129 * [backup-simplify]: Simplify 1.0 into 1.0 3.129 * [taylor]: Taking taylor expansion of x in x 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 1 into 1 3.129 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.130 * [taylor]: Taking taylor expansion of x in x 3.130 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify 1 into 1 3.130 * [taylor]: Taking taylor expansion of 1.0 in x 3.130 * [backup-simplify]: Simplify 1.0 into 1.0 3.130 * [backup-simplify]: Simplify (- 0) into 0 3.130 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.130 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.131 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.131 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.131 * [backup-simplify]: Simplify (- 1) into -1 3.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.132 * [backup-simplify]: Simplify (+ 1 0) into 1 3.133 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.135 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 3.135 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 3.135 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 3.135 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 3.135 * [taylor]: Taking taylor expansion of 1.0 in x 3.135 * [backup-simplify]: Simplify 1.0 into 1.0 3.135 * [taylor]: Taking taylor expansion of x in x 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 1 into 1 3.135 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.135 * [taylor]: Taking taylor expansion of x in x 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 1 into 1 3.135 * [taylor]: Taking taylor expansion of 1.0 in x 3.135 * [backup-simplify]: Simplify 1.0 into 1.0 3.135 * [backup-simplify]: Simplify (- 0) into 0 3.135 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.136 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.136 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 3.136 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.136 * [backup-simplify]: Simplify (- 1) into -1 3.137 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.137 * [backup-simplify]: Simplify (+ 1 0) into 1 3.144 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 3.146 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 3.146 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.147 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 3.147 * [backup-simplify]: Simplify (- 0) into 0 3.147 * [backup-simplify]: Simplify (+ 0 0) into 0 3.147 * [backup-simplify]: Simplify (+ 0 0) into 0 3.151 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 3.156 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 3.163 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 3.172 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 3.172 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 3.172 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 3.172 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 3.172 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.172 * [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 3.173 * [taylor]: Taking taylor expansion of x in x 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [backup-simplify]: Simplify (/ 1 1) into 1 3.173 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.173 * [taylor]: Taking taylor expansion of x in x 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.174 * [backup-simplify]: Simplify (/ 1 1) into 1 3.174 * [taylor]: Taking taylor expansion of 1.0 in x 3.174 * [backup-simplify]: Simplify 1.0 into 1.0 3.174 * [backup-simplify]: Simplify (- 1) into -1 3.174 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.175 * [backup-simplify]: Simplify (+ 1 0) into 1 3.175 * [backup-simplify]: Simplify (/ -1 1) into -1 3.176 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (- 0) into 0 3.177 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.178 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.181 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.183 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.183 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 3.183 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 3.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.183 * [taylor]: Taking taylor expansion of 1.0 in x 3.183 * [backup-simplify]: Simplify 1.0 into 1.0 3.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.183 * [taylor]: Taking taylor expansion of x in x 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.183 * [backup-simplify]: Simplify (/ 1 1) into 1 3.183 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.183 * [taylor]: Taking taylor expansion of x in x 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (/ 1 1) into 1 3.184 * [taylor]: Taking taylor expansion of 1.0 in x 3.184 * [backup-simplify]: Simplify 1.0 into 1.0 3.184 * [backup-simplify]: Simplify (- 1) into -1 3.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.185 * [backup-simplify]: Simplify (+ 1 0) into 1 3.186 * [backup-simplify]: Simplify (/ -1 1) into -1 3.186 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (- 0) into 0 3.188 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.189 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.192 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 3.193 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 3.194 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.195 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 3.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.196 * [backup-simplify]: Simplify (- 0) into 0 3.196 * [backup-simplify]: Simplify (+ 0 0) into 0 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 3.209 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.215 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 3.218 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 3.218 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3.218 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 3.218 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.218 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.218 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.218 * [taylor]: Taking taylor expansion of x in x 3.218 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify 1 into 1 3.219 * [backup-simplify]: Simplify (/ 1 1) into 1 3.219 * [taylor]: Taking taylor expansion of 1.0 in x 3.219 * [backup-simplify]: Simplify 1.0 into 1.0 3.219 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.219 * [taylor]: Taking taylor expansion of 1.0 in x 3.219 * [backup-simplify]: Simplify 1.0 into 1.0 3.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.219 * [taylor]: Taking taylor expansion of x in x 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 1 into 1 3.219 * [backup-simplify]: Simplify (/ 1 1) into 1 3.220 * [backup-simplify]: Simplify (+ 1 0) into 1 3.220 * [backup-simplify]: Simplify (- 1) into -1 3.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.221 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.222 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.223 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.224 * [backup-simplify]: Simplify (- 0) into 0 3.224 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.227 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.229 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.229 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 3.229 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 3.229 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.229 * [taylor]: Taking taylor expansion of x in x 3.229 * [backup-simplify]: Simplify 0 into 0 3.229 * [backup-simplify]: Simplify 1 into 1 3.230 * [backup-simplify]: Simplify (/ 1 1) into 1 3.230 * [taylor]: Taking taylor expansion of 1.0 in x 3.230 * [backup-simplify]: Simplify 1.0 into 1.0 3.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.230 * [taylor]: Taking taylor expansion of 1.0 in x 3.230 * [backup-simplify]: Simplify 1.0 into 1.0 3.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.230 * [taylor]: Taking taylor expansion of x in x 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.231 * [backup-simplify]: Simplify (/ 1 1) into 1 3.231 * [backup-simplify]: Simplify (+ 1 0) into 1 3.231 * [backup-simplify]: Simplify (- 1) into -1 3.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.232 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.233 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.234 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.235 * [backup-simplify]: Simplify (- 0) into 0 3.235 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.238 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 3.240 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 3.241 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.241 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.242 * [backup-simplify]: Simplify (+ 0 0) into 0 3.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (- 0) into 0 3.243 * [backup-simplify]: Simplify (+ 0 0) into 0 3.246 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 3.250 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 3.254 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 3.255 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 3.255 * * * [progress]: simplifying candidates 3.257 * [simplify]: Simplifying: (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (exp (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log1p (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (log (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (exp (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (* (cbrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) (cbrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (* (* (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (sqrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (sqrt (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (+ 1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (+ (* 1.0 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (+ (sqrt 1.0) 1))))) (+ (* 1.0 (/ x (sqrt 1.0))) (+ (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 2)))) (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (- (+ (* 1.0 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (log (+ (sqrt 1.0) 1))) (+ (* 1.0 (/ x (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2)))) (* 0.5 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3))))))) (- (+ (log (+ (sqrt -1) 1)) (+ (* 1.0 (/ 1 (* x (* (sqrt -1) (+ (sqrt -1) 1))))) (* 0.5 (/ 1 (* (pow x 2) (pow (+ (sqrt -1) 1) 2)))))) (* 0.5 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1)))))) (- (+ (log (+ (sqrt -1) 1)) (+ (* 1.0 (/ 1 (* x (* (sqrt -1) (+ (sqrt -1) 1))))) (* 0.5 (/ 1 (* (pow x 2) (pow (+ (sqrt -1) 1) 2)))))) (* 0.5 (/ 1 (* (pow x 2) (* (sqrt -1) (+ (sqrt -1) 1)))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 3.260 * * [simplify]: Extracting # 0 : cost 0 3.260 * * [simplify]: Extracting # 1 : cost 0 3.261 * * [simplify]: Extracting # 2 : cost 0 3.261 * * [simplify]: Extracting # 3 : cost 0 3.261 * * [simplify]: Extracting # 4 : cost 0 3.261 * * [simplify]: Extracting # 5 : cost 0 3.262 * * [simplify]: Extracting # 6 : cost 0 3.262 * * [simplify]: Extracting # 7 : cost 0 3.262 * * [simplify]: Extracting # 8 : cost 0 3.262 * * [simplify]: Extracting # 9 : cost 0 3.263 * * [simplify]: Extracting # 10 : cost 0 3.263 * * [simplify]: Extracting # 11 : cost 0 3.263 * * [simplify]: iteration 0 : 218 enodes (cost 1879 ) 3.347 * * [simplify]: Extracting # 0 : cost 0 3.347 * * [simplify]: Extracting # 1 : cost 0 3.348 * * [simplify]: Extracting # 2 : cost 0 3.349 * * [simplify]: Extracting # 3 : cost 0 3.349 * * [simplify]: Extracting # 4 : cost 0 3.350 * * [simplify]: iteration 1 : 518 enodes (cost 1750 ) 3.686 * * [simplify]: Extracting # 0 : cost 0 3.689 * * [simplify]: Extracting # 1 : cost 0 3.692 * * [simplify]: Extracting # 2 : cost 0 3.694 * * [simplify]: Extracting # 3 : cost 0 3.697 * * [simplify]: Extracting # 4 : cost 0 3.700 * * [simplify]: iteration 2 : 2380 enodes (cost 1616 ) 4.791 * * [simplify]: Extracting # 0 : cost 0 4.803 * * [simplify]: Extracting # 1 : cost 0 4.812 * * [simplify]: Extracting # 2 : cost 0 4.826 * * [simplify]: Extracting # 3 : cost 0 4.832 * * [simplify]: Extracting # 4 : cost 0 4.838 * * [simplify]: iteration done: 5000 enodes (cost 1606 ) 4.839 * [simplify]: Simplified to: (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) 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1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (- (fma 2.0 (pow x 2) 1.0) (* 2.0 x)) (- (+ (/ 2.0 x) -1) (/ 2.0 (* x x))) (- (+ (/ 2.0 x) -1) (/ 2.0 (* x x))) (fma 1.0 (/ (* x x) (fma 1 (sqrt 1.0) 1.0)) (- (fma (/ (pow x 2) (+ (sqrt 1.0) 1)) 1.0 (sqrt 1.0)) (fma (fma (/ x (pow (sqrt 1.0) 3)) (/ x (+ (sqrt 1.0) 1)) (/ (* x x) (fma 1.0 (sqrt 1.0) 1.0))) 0.5 (* 1.0 (/ x (sqrt 1.0)))))) (+ (- (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ 1.0 (* x (sqrt -1)))) (+ (- (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ 1.0 (* x (sqrt -1)))) (- (fma 1.0 (/ (* x x) (fma 1 (sqrt 1.0) 1.0)) (log1p (sqrt 1.0))) (fma 0.5 (fma (/ x 1.0) (/ x (pow (+ (sqrt 1.0) 1) 2)) (/ (* x x) (* (sqrt 1.0) (fma 1.0 (sqrt 1.0) 1.0)))) (/ (* 1.0 x) (fma 1 (sqrt 1.0) 1.0)))) (+ (+ (/ (/ 1.0 x) (+ -1 (sqrt -1))) (- (/ 0.5 (* (pow x 2) (pow (+ (sqrt -1) 1) 2))) (/ 0.5 (* x (* (+ -1 (sqrt -1)) x))))) (log1p (sqrt -1))) (+ (+ (/ (/ 1.0 x) (+ -1 (sqrt -1))) (- (/ 0.5 (* (pow x 2) (pow (+ (sqrt -1) 1) 2))) (/ 0.5 (* x (* (+ -1 (sqrt -1)) x))))) (log1p (sqrt -1))) (- (fma 1.0 (/ (pow x 2) (sqrt 1.0)) (sqrt 1.0)) (fma 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3)) (* 1.0 (/ x (sqrt 1.0))))) (+ (- (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ 1.0 (* x (sqrt -1)))) (+ (- (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1)))) (/ 1.0 (* x (sqrt -1)))) 4.841 * * * [progress]: adding candidates to table 5.294 * [progress]: [Phase 3 of 3] Extracting. 5.297 * [simplify]: Simplifying: (* 2.0 (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) 5.297 * * [simplify]: Extracting # 0 : cost 0 5.297 * * [simplify]: Extracting # 1 : cost 0 5.297 * * [simplify]: Extracting # 2 : cost 0 5.297 * * [simplify]: Extracting # 3 : cost 0 5.297 * * [simplify]: Extracting # 4 : cost 0 5.297 * * [simplify]: Extracting # 5 : cost 0 5.297 * * [simplify]: Extracting # 6 : cost 0 5.297 * * [simplify]: Extracting # 7 : cost 0 5.297 * * [simplify]: Extracting # 8 : cost 0 5.297 * * [simplify]: Extracting # 9 : cost 0 5.298 * * [simplify]: iteration 0 : 11 enodes (cost 13 ) 5.298 * * [simplify]: Extracting # 0 : cost 0 5.298 * * [simplify]: iteration 1 : 13 enodes (cost 13 ) 5.298 * * [simplify]: Extracting # 0 : cost 0 5.298 * * [simplify]: iteration done: 13 enodes (cost 13 ) 5.298 * [simplify]: Simplified to: (* 2.0 (atan (expm1 (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x))))))) 7.646 * [regime-testing]: Baseline error score: 0.016252031503937992 7.650 * [regime-testing]: Oracle error score: 0.016252031503937992 7.651 * [regime-testing]: End program error score: 0.016252031503937992