10.667 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.121 * * * [progress]: [2/2] Setting up program. 0.127 * [progress]: [Phase 2 of 3] Improving. 0.127 * [simplify]: Simplifying: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.127 * * [simplify]: Extracting # 0 : cost 0 0.127 * * [simplify]: Extracting # 1 : cost 0 0.127 * * [simplify]: Extracting # 2 : cost 0 0.127 * * [simplify]: Extracting # 3 : cost 0 0.128 * * [simplify]: Extracting # 4 : cost 0 0.128 * * [simplify]: Extracting # 5 : cost 0 0.128 * * [simplify]: Extracting # 6 : cost 0 0.128 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.131 * * [simplify]: Extracting # 0 : cost 0 0.131 * * [simplify]: Extracting # 1 : cost 0 0.131 * * [simplify]: Extracting # 2 : cost 0 0.131 * * [simplify]: iteration 1 : 12 enodes (cost 13 ) 0.135 * * [simplify]: Extracting # 0 : cost 0 0.135 * * [simplify]: Extracting # 1 : cost 0 0.135 * * [simplify]: Extracting # 2 : cost 0 0.135 * * [simplify]: iteration 2 : 16 enodes (cost 13 ) 0.140 * * [simplify]: Extracting # 0 : cost 0 0.140 * * [simplify]: iteration 3 : 18 enodes (cost 13 ) 0.145 * * [simplify]: Extracting # 0 : cost 0 0.145 * * [simplify]: iteration done: 18 enodes (cost 13 ) 0.145 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.146 * * [progress]: iteration 1 / 4 0.146 * * * [progress]: picking best candidate 0.178 * * * * [pick]: Picked # 0.179 * * * [progress]: localizing error 0.212 * * * [progress]: generating rewritten candidates 0.212 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.306 * * * [progress]: generating series expansions 0.306 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.306 * [backup-simplify]: Simplify (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) into (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) 0.306 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.307 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) 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 (pow x 2) 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 0.308 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.308 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [backup-simplify]: Simplify 1.0 into 1.0 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.311 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.311 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.311 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [backup-simplify]: Simplify 1.0 into 1.0 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.312 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.314 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [backup-simplify]: Simplify 1.0 into 1.0 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 0.316 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.317 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.318 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (- 1) into -1 0.334 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.337 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.343 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.349 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.352 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.358 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.385 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (+ (* 0 0) (* (/ -1/8 (pow (sqrt 1.0) 3)) 1))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.393 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.397 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.405 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0)))) x) (* (+ (sqrt 1.0) 1.0) (/ 1 x)))) into (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 0.405 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) into (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) 0.405 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.405 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.405 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [backup-simplify]: Simplify 1.0 into 1.0 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (- 1) into -1 0.407 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.408 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.411 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [backup-simplify]: Simplify 1.0 into 1.0 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.411 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.411 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [backup-simplify]: Simplify 1.0 into 1.0 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [backup-simplify]: Simplify (- 1) into -1 0.413 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.413 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.416 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.417 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.417 * [taylor]: Taking taylor expansion of 1.0 in x 0.417 * [backup-simplify]: Simplify 1.0 into 1.0 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.421 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.422 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.422 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.429 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.431 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.433 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.433 * [backup-simplify]: Simplify 1.0 into 1.0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.446 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.451 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.453 * [backup-simplify]: Simplify (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1.0 (/ 1 x)) (sqrt -1))) into (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) 0.454 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) into (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 0.454 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.454 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.454 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.454 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [backup-simplify]: Simplify 1.0 into 1.0 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (* 1 1) into 1 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (- 1) into -1 0.456 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.457 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.460 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [backup-simplify]: Simplify 1.0 into 1.0 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.460 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.460 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.460 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [backup-simplify]: Simplify 1.0 into 1.0 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.462 * [backup-simplify]: Simplify (- 1) into -1 0.462 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.463 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- 0) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.466 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [backup-simplify]: Simplify 1.0 into 1.0 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 0.470 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.471 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 0.472 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.473 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- 0) into 0 0.475 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.479 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.481 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.483 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.483 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.483 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 0.501 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 0.507 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.509 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 0.514 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* (- 1.0) (/ 1 (- x))) (- (sqrt -1)))) into (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.514 * * * [progress]: simplifying candidates 0.515 * [simplify]: Simplifying: (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 0.517 * * [simplify]: Extracting # 0 : cost 0 0.517 * * [simplify]: Extracting # 1 : cost 0 0.517 * * [simplify]: Extracting # 2 : cost 0 0.517 * * [simplify]: Extracting # 3 : cost 0 0.517 * * [simplify]: Extracting # 4 : cost 0 0.517 * * [simplify]: Extracting # 5 : cost 0 0.518 * * [simplify]: Extracting # 6 : cost 0 0.518 * * [simplify]: Extracting # 7 : cost 0 0.518 * * [simplify]: Extracting # 8 : cost 0 0.518 * * [simplify]: Extracting # 9 : cost 0 0.518 * * [simplify]: iteration 0 : 71 enodes (cost 402 ) 0.551 * * [simplify]: Extracting # 0 : cost 0 0.551 * * [simplify]: Extracting # 1 : cost 0 0.552 * * [simplify]: Extracting # 2 : cost 0 0.552 * * [simplify]: Extracting # 3 : cost 0 0.553 * * [simplify]: Extracting # 4 : cost 0 0.553 * * [simplify]: iteration 1 : 187 enodes (cost 387 ) 0.723 * * [simplify]: Extracting # 0 : cost 0 0.724 * * [simplify]: Extracting # 1 : cost 0 0.726 * * [simplify]: Extracting # 2 : cost 0 0.728 * * [simplify]: Extracting # 3 : cost 0 0.729 * * [simplify]: Extracting # 4 : cost 0 0.731 * * [simplify]: iteration 2 : 702 enodes (cost 354 ) 1.280 * * [simplify]: Extracting # 0 : cost 0 1.291 * * [simplify]: Extracting # 1 : cost 0 1.304 * * [simplify]: Extracting # 2 : cost 0 1.317 * * [simplify]: Extracting # 3 : cost 0 1.339 * * [simplify]: Extracting # 4 : cost 0 1.352 * * [simplify]: iteration done: 5001 enodes (cost 344 ) 1.352 * [simplify]: Simplified to: (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (pow (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 3) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* x (+ (sqrt (- 1.0 (* x x))) 1.0)) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (/ (/ (- 1.0 (* x x)) x) x) (* (/ 1.0 x) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (/ (/ (- 1.0 (* x x)) x) x)) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (- (+ (/ 1.0 x) (/ (sqrt 1.0) x)) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (+ (/ 1.0 x) (sqrt -1))) (- (/ 1.0 x) (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (sqrt -1))) 1.353 * * * [progress]: adding candidates to table 1.643 * * [progress]: iteration 2 / 4 1.644 * * * [progress]: picking best candidate 1.650 * * * * [pick]: Picked # 1.650 * * * [progress]: localizing error 1.695 * * * [progress]: generating rewritten candidates 1.695 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.260 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.411 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.557 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 2.655 * * * [progress]: generating series expansions 2.655 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.656 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) into (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) 2.656 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 2.656 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.656 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.656 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.656 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.656 * [taylor]: Taking taylor expansion of 1.0 in x 2.656 * [backup-simplify]: Simplify 1.0 into 1.0 2.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.656 * [taylor]: Taking taylor expansion of x in x 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify 1 into 1 2.657 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.658 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.658 * [backup-simplify]: Simplify (+ 0 0) into 0 2.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.659 * [taylor]: Taking taylor expansion of x in x 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [backup-simplify]: Simplify (/ 1 1) into 1 2.659 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.659 * [taylor]: Taking taylor expansion of 1.0 in x 2.659 * [backup-simplify]: Simplify 1.0 into 1.0 2.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.659 * [taylor]: Taking taylor expansion of x in x 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.660 * [backup-simplify]: Simplify (/ 1 1) into 1 2.660 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.660 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.660 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.660 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.660 * [taylor]: Taking taylor expansion of 1.0 in x 2.660 * [backup-simplify]: Simplify 1.0 into 1.0 2.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.660 * [taylor]: Taking taylor expansion of x in x 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.661 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.661 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.661 * [backup-simplify]: Simplify (+ 0 0) into 0 2.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (/ 1 1) into 1 2.663 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.663 * [taylor]: Taking taylor expansion of 1.0 in x 2.663 * [backup-simplify]: Simplify 1.0 into 1.0 2.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (/ 1 1) into 1 2.665 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 2.665 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.666 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 2.667 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 2.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.668 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 2.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.670 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.670 * [backup-simplify]: Simplify (+ 0 0) into 0 2.670 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.672 * [backup-simplify]: Simplify (* 1 1) into 1 2.672 * [backup-simplify]: Simplify (- 1) into -1 2.672 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.675 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 2.680 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 2.686 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 2.689 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 2.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.691 * [backup-simplify]: Simplify (- 0) into 0 2.692 * [backup-simplify]: Simplify (+ 0 0) into 0 2.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 2.696 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.698 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.698 * [backup-simplify]: Simplify (+ 0 0) into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.706 * [backup-simplify]: Simplify (- 0) into 0 2.707 * [backup-simplify]: Simplify (+ 0 0) into 0 2.714 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.729 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (+ (* 0 0) (* (/ -1/8 (pow (sqrt 1.0) 3)) 1))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.731 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.736 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 2.740 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 2.748 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0)))) x) (* (+ (sqrt 1.0) 1.0) (/ 1 x)))) into (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 2.749 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) (sqrt (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) into (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) 2.749 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 2.749 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.749 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.749 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.749 * [taylor]: Taking taylor expansion of 1.0 in x 2.749 * [backup-simplify]: Simplify 1.0 into 1.0 2.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.750 * [taylor]: Taking taylor expansion of x in x 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify (* 1 1) into 1 2.751 * [backup-simplify]: Simplify (/ 1 1) into 1 2.751 * [backup-simplify]: Simplify (- 1) into -1 2.751 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.752 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (- 0) into 0 2.754 * [backup-simplify]: Simplify (+ 0 0) into 0 2.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.755 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.755 * [taylor]: Taking taylor expansion of 1.0 in x 2.755 * [backup-simplify]: Simplify 1.0 into 1.0 2.755 * [taylor]: Taking taylor expansion of x in x 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.755 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.755 * [taylor]: Taking taylor expansion of x in x 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.755 * [taylor]: Taking taylor expansion of 1.0 in x 2.755 * [backup-simplify]: Simplify 1.0 into 1.0 2.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.755 * [taylor]: Taking taylor expansion of x in x 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (* 1 1) into 1 2.756 * [backup-simplify]: Simplify (/ 1 1) into 1 2.756 * [backup-simplify]: Simplify (- 1) into -1 2.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.757 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (- 0) into 0 2.759 * [backup-simplify]: Simplify (+ 0 0) into 0 2.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.760 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.760 * [taylor]: Taking taylor expansion of 1.0 in x 2.760 * [backup-simplify]: Simplify 1.0 into 1.0 2.760 * [taylor]: Taking taylor expansion of x in x 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 2.761 * [backup-simplify]: Simplify (+ 0 0) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 2.764 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.765 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 2.765 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.767 * [backup-simplify]: Simplify (- 0) into 0 2.768 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.772 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 2.773 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 2.775 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.775 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.775 * [backup-simplify]: Simplify 1.0 into 1.0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.778 * [backup-simplify]: Simplify (- 0) into 0 2.778 * [backup-simplify]: Simplify (+ 0 0) into 0 2.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 2.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 2.787 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.790 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 2.792 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 2.793 * [backup-simplify]: Simplify (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1.0 (/ 1 x)) (sqrt -1))) into (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) 2.794 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) (sqrt (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) into (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) 2.794 * [approximate]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in (x) around 0 2.794 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in x 2.794 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.795 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.795 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.795 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.795 * [taylor]: Taking taylor expansion of x in x 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 1 into 1 2.795 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.795 * [taylor]: Taking taylor expansion of 1.0 in x 2.795 * [backup-simplify]: Simplify 1.0 into 1.0 2.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.795 * [taylor]: Taking taylor expansion of x in x 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 1 into 1 2.795 * [backup-simplify]: Simplify (* 1 1) into 1 2.796 * [backup-simplify]: Simplify (/ 1 1) into 1 2.796 * [backup-simplify]: Simplify (- 1) into -1 2.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.797 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (- 0) into 0 2.799 * [backup-simplify]: Simplify (+ 0 0) into 0 2.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.800 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.800 * [taylor]: Taking taylor expansion of 1.0 in x 2.800 * [backup-simplify]: Simplify 1.0 into 1.0 2.800 * [taylor]: Taking taylor expansion of x in x 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 2.801 * [backup-simplify]: Simplify (+ 0 0) into 0 2.801 * [backup-simplify]: Simplify (- 0) into 0 2.804 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 2.804 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.805 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 2.806 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 2.807 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 2.808 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (- 0) into 0 2.811 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.814 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 2.816 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 2.817 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.818 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.818 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.819 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 2.823 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 2.823 * [taylor]: Taking taylor expansion of (pow (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 2) in x 2.823 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 2.823 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 2.823 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 2.823 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 2.823 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 2.823 * [taylor]: Taking taylor expansion of 1.0 in x 2.823 * [backup-simplify]: Simplify 1.0 into 1.0 2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.823 * [taylor]: Taking taylor expansion of x in x 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (* 1 1) into 1 2.824 * [backup-simplify]: Simplify (/ 1 1) into 1 2.825 * [backup-simplify]: Simplify (- 1) into -1 2.825 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.826 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (- 0) into 0 2.828 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 2.829 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 2.829 * [taylor]: Taking taylor expansion of 1.0 in x 2.829 * [backup-simplify]: Simplify 1.0 into 1.0 2.829 * [taylor]: Taking taylor expansion of x in x 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 1 into 1 2.829 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 2.830 * [backup-simplify]: Simplify (+ 0 0) into 0 2.830 * [backup-simplify]: Simplify (- 0) into 0 2.832 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 2.833 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.834 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 2.835 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 2.835 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 2.837 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify (- 0) into 0 2.840 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.844 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 2.847 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.852 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.853 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.854 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 2.859 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 2.868 * [backup-simplify]: Simplify (* (sqrt (- (sqrt -1))) (sqrt (- (sqrt -1)))) into (pow (sqrt (- (sqrt -1))) 2) 2.870 * [backup-simplify]: Simplify (pow (sqrt (- (sqrt -1))) 2) into (pow (sqrt (- (sqrt -1))) 2) 2.880 * [backup-simplify]: Simplify (+ (* (sqrt (- (sqrt -1))) (/ -0.5 (sqrt (- (sqrt -1))))) (* (/ -0.5 (sqrt (- (sqrt -1)))) (sqrt (- (sqrt -1))))) into (- 1.0) 2.881 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (- 0) into 0 2.883 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 2.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 2.892 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.895 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 2.897 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 2.910 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ -0.5 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) 2.963 * [backup-simplify]: Simplify (+ (* (sqrt (- (sqrt -1))) (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1)))))) (+ (* (/ -0.5 (sqrt (- (sqrt -1)))) (/ -0.5 (sqrt (- (sqrt -1))))) (* (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (sqrt (- (sqrt -1)))))) into (- (* 0.5 (/ 1 (sqrt -1)))) 2.966 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 2.972 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* (- 1.0) (/ 1 (- x))) (pow (sqrt (- (sqrt -1))) 2))) into (- (+ (* 1.0 (/ 1 x)) (pow (sqrt (- (sqrt -1))) 2)) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 2.972 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.972 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) into (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) 2.972 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 2.972 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.972 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.972 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.972 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.972 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.972 * [taylor]: Taking taylor expansion of 1.0 in x 2.973 * [backup-simplify]: Simplify 1.0 into 1.0 2.973 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.973 * [taylor]: Taking taylor expansion of x in x 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.974 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.974 * [backup-simplify]: Simplify (+ 0 0) into 0 2.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.975 * [taylor]: Taking taylor expansion of x in x 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (/ 1 1) into 1 2.975 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.975 * [taylor]: Taking taylor expansion of 1.0 in x 2.975 * [backup-simplify]: Simplify 1.0 into 1.0 2.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.975 * [taylor]: Taking taylor expansion of x in x 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (/ 1 1) into 1 2.977 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 2.977 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.978 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 2.978 * [backup-simplify]: Simplify (sqrt 0) into 0 2.981 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) (* 2 (sqrt 0))) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 2.981 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 2.981 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 2.981 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 2.981 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 2.981 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 2.981 * [taylor]: Taking taylor expansion of 1.0 in x 2.981 * [backup-simplify]: Simplify 1.0 into 1.0 2.982 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.982 * [taylor]: Taking taylor expansion of x in x 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.982 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.983 * [backup-simplify]: Simplify (+ 0 0) into 0 2.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.984 * [taylor]: Taking taylor expansion of x in x 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 2.984 * [taylor]: Taking taylor expansion of 1.0 in x 2.984 * [backup-simplify]: Simplify 1.0 into 1.0 2.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.984 * [taylor]: Taking taylor expansion of x in x 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.986 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 2.986 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.987 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 2.987 * [backup-simplify]: Simplify (sqrt 0) into 0 2.990 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) (* 2 (sqrt 0))) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 2.990 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify (* +nan.0 (+ (sqrt 1.0) 1.0)) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 2.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.995 * [backup-simplify]: Simplify (+ 0 0) into 0 3.001 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (sqrt 1.0) 1.0)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 3.009 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 3.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (* 1 1) into 1 3.011 * [backup-simplify]: Simplify (- 1) into -1 3.012 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.019 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 3.024 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.030 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.060 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt 1.0)))) (+ (* 2 (* (* +nan.0 (+ (sqrt 1.0) 1.0)) (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))))) (* 2 0)) into (* +nan.0 (+ (* 1/2 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))))) 3.087 * [backup-simplify]: Simplify (* +nan.0 (+ (* 1/2 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))))) into (* +nan.0 (- (* 1/2 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))))) 3.122 * [backup-simplify]: Simplify (+ (* (* +nan.0 (- (* 1/2 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))))) (pow x 2)) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) x) (* +nan.0 (+ (sqrt 1.0) 1.0)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 2))) (- +nan.0))))))))))))))))))) 3.122 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) into (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 3.122 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 3.122 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.122 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.122 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.122 * [taylor]: Taking taylor expansion of x in x 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.123 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.123 * [taylor]: Taking taylor expansion of 1.0 in x 3.123 * [backup-simplify]: Simplify 1.0 into 1.0 3.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.123 * [taylor]: Taking taylor expansion of x in x 3.123 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify 1 into 1 3.124 * [backup-simplify]: Simplify (* 1 1) into 1 3.124 * [backup-simplify]: Simplify (/ 1 1) into 1 3.124 * [backup-simplify]: Simplify (- 1) into -1 3.125 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.125 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (- 0) into 0 3.128 * [backup-simplify]: Simplify (+ 0 0) into 0 3.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.128 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.128 * [taylor]: Taking taylor expansion of 1.0 in x 3.128 * [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 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.130 * [backup-simplify]: Simplify (+ 0 0) into 0 3.132 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.132 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.133 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.134 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 3.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (- 0) into 0 3.137 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.141 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.142 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.144 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.145 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.148 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 3.148 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.148 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.148 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.148 * [taylor]: Taking taylor expansion of x in x 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 1 into 1 3.148 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.149 * [taylor]: Taking taylor expansion of 1.0 in x 3.149 * [backup-simplify]: Simplify 1.0 into 1.0 3.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.149 * [taylor]: Taking taylor expansion of x in x 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.150 * [backup-simplify]: Simplify (* 1 1) into 1 3.151 * [backup-simplify]: Simplify (/ 1 1) into 1 3.152 * [backup-simplify]: Simplify (- 1) into -1 3.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.154 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.156 * [backup-simplify]: Simplify (- 0) into 0 3.157 * [backup-simplify]: Simplify (+ 0 0) into 0 3.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.158 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.158 * [taylor]: Taking taylor expansion of 1.0 in x 3.158 * [backup-simplify]: Simplify 1.0 into 1.0 3.158 * [taylor]: Taking taylor expansion of x in x 3.158 * [backup-simplify]: Simplify 0 into 0 3.158 * [backup-simplify]: Simplify 1 into 1 3.159 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.159 * [backup-simplify]: Simplify (+ 0 0) into 0 3.162 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.162 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.163 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.164 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 3.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.167 * [backup-simplify]: Simplify (- 0) into 0 3.167 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.171 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.172 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.174 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.174 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.176 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 3.181 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 3.184 * [backup-simplify]: Simplify (* 0.5 (sqrt (/ 1 (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 3.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.186 * [backup-simplify]: Simplify (- 0) into 0 3.187 * [backup-simplify]: Simplify (+ 0 0) into 0 3.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 3.196 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.199 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 3.210 * [backup-simplify]: Simplify (/ (- (* 0.5 (/ 1 (sqrt -1))) (pow (* 0.5 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) 3.214 * [backup-simplify]: Simplify (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) 3.223 * [backup-simplify]: Simplify (+ (* (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 2)) (+ (* (* 0.5 (sqrt (/ 1 (sqrt -1)))) (/ 1 x)) (sqrt (sqrt -1)))) into (+ (* 0.125 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (sqrt -1))))) (sqrt (sqrt -1)))) 3.224 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) into (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 3.224 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 3.224 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 3.224 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.224 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.224 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.224 * [taylor]: Taking taylor expansion of x in x 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.224 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.224 * [taylor]: Taking taylor expansion of 1.0 in x 3.224 * [backup-simplify]: Simplify 1.0 into 1.0 3.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.224 * [taylor]: Taking taylor expansion of x in x 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.225 * [backup-simplify]: Simplify (* 1 1) into 1 3.225 * [backup-simplify]: Simplify (/ 1 1) into 1 3.225 * [backup-simplify]: Simplify (- 1) into -1 3.226 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.226 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (- 0) into 0 3.229 * [backup-simplify]: Simplify (+ 0 0) into 0 3.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.230 * [taylor]: Taking taylor expansion of (* 1.0 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 x in x 3.230 * [backup-simplify]: Simplify 0 into 0 3.230 * [backup-simplify]: Simplify 1 into 1 3.231 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.231 * [backup-simplify]: Simplify (+ 0 0) into 0 3.231 * [backup-simplify]: Simplify (- 0) into 0 3.234 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.234 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.235 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.236 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.237 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.238 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 3.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.241 * [backup-simplify]: Simplify (- 0) into 0 3.241 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.244 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.246 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.247 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.247 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.248 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.248 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.251 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 3.251 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 3.251 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.251 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.252 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.252 * [taylor]: Taking taylor expansion of x in x 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.252 * [taylor]: Taking taylor expansion of 1.0 in x 3.252 * [backup-simplify]: Simplify 1.0 into 1.0 3.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.252 * [taylor]: Taking taylor expansion of x in x 3.252 * [backup-simplify]: Simplify 0 into 0 3.252 * [backup-simplify]: Simplify 1 into 1 3.252 * [backup-simplify]: Simplify (* 1 1) into 1 3.252 * [backup-simplify]: Simplify (/ 1 1) into 1 3.253 * [backup-simplify]: Simplify (- 1) into -1 3.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.254 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.255 * [backup-simplify]: Simplify (- 0) into 0 3.255 * [backup-simplify]: Simplify (+ 0 0) into 0 3.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.256 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.256 * [taylor]: Taking taylor expansion of 1.0 in x 3.256 * [backup-simplify]: Simplify 1.0 into 1.0 3.256 * [taylor]: Taking taylor expansion of x in x 3.256 * [backup-simplify]: Simplify 0 into 0 3.256 * [backup-simplify]: Simplify 1 into 1 3.257 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.257 * [backup-simplify]: Simplify (+ 0 0) into 0 3.257 * [backup-simplify]: Simplify (- 0) into 0 3.259 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.260 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.260 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.261 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.262 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.263 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 3.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.265 * [backup-simplify]: Simplify (- 0) into 0 3.266 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.269 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.270 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.272 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.272 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.272 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.273 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.276 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 3.278 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 3.280 * [backup-simplify]: Simplify (/ -0.5 (sqrt (- (sqrt -1)))) into (/ -0.5 (sqrt (- (sqrt -1)))) 3.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (- 0) into 0 3.282 * [backup-simplify]: Simplify (+ 0 0) into 0 3.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 3.291 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.293 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 3.295 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 3.308 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ -0.5 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) 3.322 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) 3.343 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (/ -0.5 (sqrt (- (sqrt -1)))) (/ 1 (- x))) (sqrt (- (sqrt -1))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt (- (sqrt -1)))))) (sqrt (- (sqrt -1)))) (+ (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))))) 3.343 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.343 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) into (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) 3.343 * [approximate]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 3.343 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 3.343 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 3.343 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 3.343 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.343 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.343 * [taylor]: Taking taylor expansion of 1.0 in x 3.343 * [backup-simplify]: Simplify 1.0 into 1.0 3.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.344 * [taylor]: Taking taylor expansion of x in x 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.344 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.345 * [backup-simplify]: Simplify (+ 0 0) into 0 3.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.346 * [taylor]: Taking taylor expansion of x in x 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [backup-simplify]: Simplify (/ 1 1) into 1 3.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 3.346 * [taylor]: Taking taylor expansion of 1.0 in x 3.346 * [backup-simplify]: Simplify 1.0 into 1.0 3.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.346 * [taylor]: Taking taylor expansion of x in x 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.347 * [backup-simplify]: Simplify (/ 1 1) into 1 3.347 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 3.348 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.349 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.349 * [backup-simplify]: Simplify (sqrt 0) into 0 3.351 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) (* 2 (sqrt 0))) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 3.351 * [taylor]: Taking taylor expansion of (sqrt (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 3.351 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 3.352 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 3.352 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.352 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.352 * [taylor]: Taking taylor expansion of 1.0 in x 3.352 * [backup-simplify]: Simplify 1.0 into 1.0 3.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.352 * [taylor]: Taking taylor expansion of x in x 3.352 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify 1 into 1 3.352 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.353 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.353 * [backup-simplify]: Simplify (+ 0 0) into 0 3.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.354 * [taylor]: Taking taylor expansion of x in x 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.354 * [backup-simplify]: Simplify (/ 1 1) into 1 3.354 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 3.354 * [taylor]: Taking taylor expansion of 1.0 in x 3.354 * [backup-simplify]: Simplify 1.0 into 1.0 3.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.354 * [taylor]: Taking taylor expansion of x in x 3.354 * [backup-simplify]: Simplify 0 into 0 3.354 * [backup-simplify]: Simplify 1 into 1 3.355 * [backup-simplify]: Simplify (/ 1 1) into 1 3.356 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 3.356 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.357 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.357 * [backup-simplify]: Simplify (sqrt 0) into 0 3.359 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) (* 2 (sqrt 0))) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 3.360 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify (* +nan.0 (+ (sqrt 1.0) 1.0)) into (* +nan.0 (+ (sqrt 1.0) 1.0)) 3.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 3.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.365 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.365 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (sqrt 1.0) 1.0)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 3.379 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 3.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.380 * [backup-simplify]: Simplify (* 1 1) into 1 3.380 * [backup-simplify]: Simplify (- 1) into -1 3.381 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.384 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 3.388 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.390 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.394 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.423 * [backup-simplify]: Simplify (/ (- (- (* 1/2 (/ 1 (sqrt 1.0)))) (+ (* 2 (* (* +nan.0 (+ (sqrt 1.0) 1.0)) (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))))) (* 2 0)) into (* +nan.0 (+ (* 1/2 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))))) 3.449 * [backup-simplify]: Simplify (* +nan.0 (+ (* 1/2 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))))))) into (* +nan.0 (- (* 1/2 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))))) 3.487 * [backup-simplify]: Simplify (+ (* (* +nan.0 (- (* 1/2 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 3)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))))) (pow x 2)) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) x) (* +nan.0 (+ (sqrt 1.0) 1.0)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 2))) (- +nan.0))))))))))))))))))) 3.488 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) into (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 3.488 * [approximate]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 3.488 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.488 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.488 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.488 * [taylor]: Taking taylor expansion of x in x 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 1 into 1 3.488 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.488 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.488 * [taylor]: Taking taylor expansion of 1.0 in x 3.488 * [backup-simplify]: Simplify 1.0 into 1.0 3.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.488 * [taylor]: Taking taylor expansion of x in x 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 1 into 1 3.489 * [backup-simplify]: Simplify (* 1 1) into 1 3.489 * [backup-simplify]: Simplify (/ 1 1) into 1 3.490 * [backup-simplify]: Simplify (- 1) into -1 3.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.491 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.493 * [backup-simplify]: Simplify (- 0) into 0 3.493 * [backup-simplify]: Simplify (+ 0 0) into 0 3.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.494 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.494 * [taylor]: Taking taylor expansion of 1.0 in x 3.494 * [backup-simplify]: Simplify 1.0 into 1.0 3.494 * [taylor]: Taking taylor expansion of x in x 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 1 into 1 3.495 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.495 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.498 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.499 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.499 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 3.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (- 0) into 0 3.503 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.506 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.508 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.509 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.510 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.512 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 3.512 * [taylor]: Taking taylor expansion of (sqrt (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.512 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.512 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.512 * [taylor]: Taking taylor expansion of x in x 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.512 * [taylor]: Taking taylor expansion of 1.0 in x 3.512 * [backup-simplify]: Simplify 1.0 into 1.0 3.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.513 * [taylor]: Taking taylor expansion of x in x 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [backup-simplify]: Simplify (* 1 1) into 1 3.513 * [backup-simplify]: Simplify (/ 1 1) into 1 3.514 * [backup-simplify]: Simplify (- 1) into -1 3.514 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.515 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (- 0) into 0 3.517 * [backup-simplify]: Simplify (+ 0 0) into 0 3.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.518 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.518 * [taylor]: Taking taylor expansion of 1.0 in x 3.518 * [backup-simplify]: Simplify 1.0 into 1.0 3.518 * [taylor]: Taking taylor expansion of x in x 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 1 into 1 3.518 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.519 * [backup-simplify]: Simplify (+ 0 0) into 0 3.521 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.521 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.522 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.523 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 3.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.525 * [backup-simplify]: Simplify (- 0) into 0 3.525 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.529 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.531 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.532 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.533 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.535 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 3.536 * [backup-simplify]: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) 3.539 * [backup-simplify]: Simplify (* 0.5 (sqrt (/ 1 (sqrt -1)))) into (* 0.5 (sqrt (/ 1 (sqrt -1)))) 3.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.541 * [backup-simplify]: Simplify (- 0) into 0 3.542 * [backup-simplify]: Simplify (+ 0 0) into 0 3.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 3.551 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.553 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 3.565 * [backup-simplify]: Simplify (/ (- (* 0.5 (/ 1 (sqrt -1))) (pow (* 0.5 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) 3.569 * [backup-simplify]: Simplify (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) 3.577 * [backup-simplify]: Simplify (+ (* (* 0.125 (sqrt (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 2)) (+ (* (* 0.5 (sqrt (/ 1 (sqrt -1)))) (/ 1 x)) (sqrt (sqrt -1)))) into (+ (* 0.125 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (sqrt -1) 3))))) (+ (* 0.5 (* (/ 1 x) (sqrt (/ 1 (sqrt -1))))) (sqrt (sqrt -1)))) 3.577 * [backup-simplify]: Simplify (sqrt (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) into (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) 3.577 * [approximate]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 3.577 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 3.577 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.577 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.577 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.577 * [taylor]: Taking taylor expansion of x in x 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify 1 into 1 3.578 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.578 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.578 * [taylor]: Taking taylor expansion of 1.0 in x 3.578 * [backup-simplify]: Simplify 1.0 into 1.0 3.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.578 * [taylor]: Taking taylor expansion of x in x 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 1 into 1 3.578 * [backup-simplify]: Simplify (* 1 1) into 1 3.579 * [backup-simplify]: Simplify (/ 1 1) into 1 3.579 * [backup-simplify]: Simplify (- 1) into -1 3.579 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.580 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.582 * [backup-simplify]: Simplify (- 0) into 0 3.582 * [backup-simplify]: Simplify (+ 0 0) into 0 3.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.583 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.583 * [taylor]: Taking taylor expansion of 1.0 in x 3.583 * [backup-simplify]: Simplify 1.0 into 1.0 3.583 * [taylor]: Taking taylor expansion of x in x 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.584 * [backup-simplify]: Simplify (+ 0 0) into 0 3.584 * [backup-simplify]: Simplify (- 0) into 0 3.587 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.588 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.590 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.591 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.592 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.594 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 3.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (- 0) into 0 3.597 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.601 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.602 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.604 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.604 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.605 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.605 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.609 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 3.609 * [taylor]: Taking taylor expansion of (sqrt (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 3.609 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.609 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.609 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.609 * [taylor]: Taking taylor expansion of x in x 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.609 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.609 * [taylor]: Taking taylor expansion of 1.0 in x 3.609 * [backup-simplify]: Simplify 1.0 into 1.0 3.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.609 * [taylor]: Taking taylor expansion of x in x 3.609 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify 1 into 1 3.610 * [backup-simplify]: Simplify (* 1 1) into 1 3.610 * [backup-simplify]: Simplify (/ 1 1) into 1 3.611 * [backup-simplify]: Simplify (- 1) into -1 3.611 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.611 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (- 0) into 0 3.614 * [backup-simplify]: Simplify (+ 0 0) into 0 3.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.614 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.614 * [taylor]: Taking taylor expansion of 1.0 in x 3.614 * [backup-simplify]: Simplify 1.0 into 1.0 3.614 * [taylor]: Taking taylor expansion of x in x 3.615 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify 1 into 1 3.615 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.615 * [backup-simplify]: Simplify (+ 0 0) into 0 3.616 * [backup-simplify]: Simplify (- 0) into 0 3.618 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.618 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.619 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.620 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.621 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.622 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 3.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (- 0) into 0 3.625 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.628 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.634 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.635 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.636 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.636 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.637 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.641 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt (- (sqrt -1))))) into (/ -0.5 (sqrt (- (sqrt -1)))) 3.643 * [backup-simplify]: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) 3.645 * [backup-simplify]: Simplify (/ -0.5 (sqrt (- (sqrt -1)))) into (/ -0.5 (sqrt (- (sqrt -1)))) 3.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.648 * [backup-simplify]: Simplify (- 0) into 0 3.648 * [backup-simplify]: Simplify (+ 0 0) into 0 3.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 3.659 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.662 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 3.665 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 3.679 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ -0.5 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) 3.692 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) 3.710 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 0.25 (/ 1 (pow (sqrt (- (sqrt -1))) 2))) (* 0.5 (/ 1 (sqrt -1)))) (sqrt (- (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (/ -0.5 (sqrt (- (sqrt -1)))) (/ 1 (- x))) (sqrt (- (sqrt -1))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt (- (sqrt -1)))))) (sqrt (- (sqrt -1)))) (+ (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))))) 3.710 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 3.711 * [backup-simplify]: Simplify (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) into (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) 3.711 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 3.711 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 3.711 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 3.711 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.711 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.711 * [taylor]: Taking taylor expansion of 1.0 in x 3.711 * [backup-simplify]: Simplify 1.0 into 1.0 3.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.711 * [taylor]: Taking taylor expansion of x in x 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.712 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.712 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.713 * [taylor]: Taking taylor expansion of x in x 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [backup-simplify]: Simplify (/ 1 1) into 1 3.714 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 3.714 * [taylor]: Taking taylor expansion of 1.0 in x 3.714 * [backup-simplify]: Simplify 1.0 into 1.0 3.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.714 * [taylor]: Taking taylor expansion of x in x 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 1 into 1 3.714 * [backup-simplify]: Simplify (/ 1 1) into 1 3.714 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 3.714 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 3.714 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.714 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.714 * [taylor]: Taking taylor expansion of 1.0 in x 3.714 * [backup-simplify]: Simplify 1.0 into 1.0 3.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.714 * [taylor]: Taking taylor expansion of x in x 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 1 into 1 3.715 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.715 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.716 * [backup-simplify]: Simplify (+ 0 0) into 0 3.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.716 * [taylor]: Taking taylor expansion of x in x 3.716 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify 1 into 1 3.717 * [backup-simplify]: Simplify (/ 1 1) into 1 3.717 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 3.717 * [taylor]: Taking taylor expansion of 1.0 in x 3.717 * [backup-simplify]: Simplify 1.0 into 1.0 3.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.717 * [taylor]: Taking taylor expansion of x in x 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.717 * [backup-simplify]: Simplify (/ 1 1) into 1 3.718 * [backup-simplify]: Simplify (* (sqrt 1.0) 1) into (sqrt 1.0) 3.719 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 3.720 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.720 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 1)) into 0 3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 3.724 * [backup-simplify]: Simplify (+ 0 0) into 0 3.724 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.725 * [backup-simplify]: Simplify (* 1 1) into 1 3.726 * [backup-simplify]: Simplify (- 1) into -1 3.726 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.729 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 3.734 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* (/ -1/2 (sqrt 1.0)) 1))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.736 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 3.739 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (sqrt 1.0)))) 0) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.742 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0)))) into (- (* 1/2 (/ 1 (sqrt 1.0)))) 3.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.744 * [backup-simplify]: Simplify (- 0) into 0 3.745 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 3.748 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (* 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.750 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.751 * [backup-simplify]: Simplify (+ 0 0) into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.753 * [backup-simplify]: Simplify (- 0) into 0 3.753 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.774 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* (/ -1/2 (sqrt 1.0)) 0) (+ (* 0 0) (* (/ -1/8 (pow (sqrt 1.0) 3)) 1))))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.776 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.782 * [backup-simplify]: Simplify (+ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.790 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.798 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0)))) x) (* (+ (sqrt 1.0) 1.0) (/ 1 x)))) into (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) 3.799 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 x)) (/ (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) into (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) 3.799 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 3.799 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.799 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.799 * [taylor]: Taking taylor expansion of x in x 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 1 into 1 3.799 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.799 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.799 * [taylor]: Taking taylor expansion of 1.0 in x 3.799 * [backup-simplify]: Simplify 1.0 into 1.0 3.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.799 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.799 * [taylor]: Taking taylor expansion of x in x 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 1 into 1 3.799 * [backup-simplify]: Simplify (* 1 1) into 1 3.800 * [backup-simplify]: Simplify (/ 1 1) into 1 3.800 * [backup-simplify]: Simplify (- 1) into -1 3.801 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.801 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.803 * [backup-simplify]: Simplify (- 0) into 0 3.803 * [backup-simplify]: Simplify (+ 0 0) into 0 3.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.804 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.804 * [taylor]: Taking taylor expansion of 1.0 in x 3.804 * [backup-simplify]: Simplify 1.0 into 1.0 3.804 * [taylor]: Taking taylor expansion of x in x 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 1 into 1 3.804 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.804 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.804 * [taylor]: Taking taylor expansion of x in x 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 1 into 1 3.804 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.804 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.804 * [taylor]: Taking taylor expansion of 1.0 in x 3.804 * [backup-simplify]: Simplify 1.0 into 1.0 3.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.805 * [taylor]: Taking taylor expansion of x in x 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify 1 into 1 3.805 * [backup-simplify]: Simplify (* 1 1) into 1 3.805 * [backup-simplify]: Simplify (/ 1 1) into 1 3.806 * [backup-simplify]: Simplify (- 1) into -1 3.806 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.807 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (- 0) into 0 3.809 * [backup-simplify]: Simplify (+ 0 0) into 0 3.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.809 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.810 * [taylor]: Taking taylor expansion of 1.0 in x 3.810 * [backup-simplify]: Simplify 1.0 into 1.0 3.810 * [taylor]: Taking taylor expansion of x in x 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 1 into 1 3.810 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.811 * [backup-simplify]: Simplify (+ 0 0) into 0 3.811 * [backup-simplify]: Simplify 0 into 0 3.813 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.813 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.814 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.814 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.817 * [backup-simplify]: Simplify (- 0) into 0 3.818 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.821 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.822 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.824 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.824 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.824 * [backup-simplify]: Simplify 1.0 into 1.0 3.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (- 0) into 0 3.827 * [backup-simplify]: Simplify (+ 0 0) into 0 3.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 3.836 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.838 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 3.840 * [backup-simplify]: Simplify (* 0.5 (/ 1 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.841 * [backup-simplify]: Simplify (+ (* (/ 0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1.0 (/ 1 x)) (sqrt -1))) into (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) 3.842 * [backup-simplify]: Simplify (+ (/ 1.0 (/ 1 (- x))) (/ (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) into (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) 3.842 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 3.842 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.842 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.842 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.842 * [taylor]: Taking taylor expansion of x in x 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.842 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.842 * [taylor]: Taking taylor expansion of 1.0 in x 3.842 * [backup-simplify]: Simplify 1.0 into 1.0 3.842 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.842 * [taylor]: Taking taylor expansion of x in x 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.843 * [backup-simplify]: Simplify (* 1 1) into 1 3.843 * [backup-simplify]: Simplify (/ 1 1) into 1 3.844 * [backup-simplify]: Simplify (- 1) into -1 3.844 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.845 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.846 * [backup-simplify]: Simplify (- 0) into 0 3.847 * [backup-simplify]: Simplify (+ 0 0) into 0 3.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.847 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.847 * [taylor]: Taking taylor expansion of 1.0 in x 3.847 * [backup-simplify]: Simplify 1.0 into 1.0 3.847 * [taylor]: Taking taylor expansion of x in x 3.847 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 3.848 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 3.848 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.848 * [taylor]: Taking taylor expansion of x in x 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.848 * [taylor]: Taking taylor expansion of 1.0 in x 3.848 * [backup-simplify]: Simplify 1.0 into 1.0 3.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.848 * [taylor]: Taking taylor expansion of x in x 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [backup-simplify]: Simplify (* 1 1) into 1 3.849 * [backup-simplify]: Simplify (/ 1 1) into 1 3.849 * [backup-simplify]: Simplify (- 1) into -1 3.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.850 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (- 0) into 0 3.852 * [backup-simplify]: Simplify (+ 0 0) into 0 3.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.853 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.853 * [taylor]: Taking taylor expansion of 1.0 in x 3.853 * [backup-simplify]: Simplify 1.0 into 1.0 3.853 * [taylor]: Taking taylor expansion of x in x 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (* 0 (sqrt -1)) into 0 3.854 * [backup-simplify]: Simplify (+ 0 0) into 0 3.854 * [backup-simplify]: Simplify (- 0) into 0 3.854 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt -1))) into (sqrt -1) 3.856 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.857 * [backup-simplify]: Simplify (+ (sqrt -1) 0) into (sqrt -1) 3.858 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.859 * [backup-simplify]: Simplify (- (sqrt -1)) into (- (sqrt -1)) 3.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (- 0) into 0 3.862 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.866 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.867 * [backup-simplify]: Simplify (+ (* 0 (/ 0.5 (sqrt -1))) (+ (* 1 0) (* 0 (sqrt -1)))) into 0 3.869 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.870 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.870 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.871 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (- 0) into 0 3.874 * [backup-simplify]: Simplify (+ 0 0) into 0 3.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* 0 0) (* 0 (sqrt -1))))) into (* 0.5 (/ 1 (sqrt -1))) 3.885 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 3.888 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (sqrt -1))) 0) into (* 0.5 (/ 1 (sqrt -1))) 3.891 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 3.895 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (sqrt -1)))) into (- (* 0.5 (/ 1 (sqrt -1)))) 3.900 * [backup-simplify]: Simplify (+ (* (- (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* (- 1.0) (/ 1 (- x))) (- (sqrt -1)))) into (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 3.900 * * * [progress]: simplifying candidates 3.907 * [simplify]: Simplifying: (expm1 (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 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(- (sqrt -1)))))) (sqrt (- (sqrt -1)))) (+ (* 0.125 (/ 1 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (* 0.25 (/ 1 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) 3.918 * * [simplify]: Extracting # 0 : cost 0 3.919 * * [simplify]: Extracting # 1 : cost 0 3.919 * * [simplify]: Extracting # 2 : cost 0 3.920 * * [simplify]: Extracting # 3 : cost 0 3.920 * * [simplify]: Extracting # 4 : cost 0 3.921 * * [simplify]: Extracting # 5 : cost 0 3.921 * * [simplify]: Extracting # 6 : cost 0 3.922 * * [simplify]: Extracting # 7 : cost 0 3.922 * * [simplify]: Extracting # 8 : cost 0 3.923 * * [simplify]: Extracting # 9 : cost 0 3.924 * * [simplify]: Extracting # 10 : cost 0 3.924 * * [simplify]: Extracting # 11 : cost 0 3.925 * * [simplify]: Extracting # 12 : cost 0 3.925 * * [simplify]: Extracting # 13 : cost 0 3.926 * * [simplify]: Extracting # 14 : cost 0 3.926 * * [simplify]: Extracting # 15 : cost 0 3.927 * * [simplify]: Extracting # 16 : cost 0 3.927 * * [simplify]: Extracting # 17 : cost 0 3.928 * * [simplify]: Extracting # 18 : cost 0 3.929 * * [simplify]: Extracting # 19 : cost 0 3.929 * * [simplify]: Extracting # 20 : cost 0 3.930 * * [simplify]: Extracting # 21 : cost 0 3.930 * * [simplify]: Extracting # 22 : cost 0 3.931 * * [simplify]: Extracting # 23 : cost 0 3.932 * * [simplify]: Extracting # 24 : cost 0 3.932 * * [simplify]: Extracting # 25 : cost 0 3.933 * * [simplify]: Extracting # 26 : cost 0 3.934 * * [simplify]: Extracting # 27 : cost 0 3.934 * * [simplify]: iteration 0 : 242 enodes (cost 4691 ) 4.067 * * [simplify]: Extracting # 0 : cost 0 4.068 * * [simplify]: Extracting # 1 : cost 0 4.070 * * [simplify]: Extracting # 2 : cost 0 4.071 * * [simplify]: Extracting # 3 : cost 0 4.072 * * [simplify]: Extracting # 4 : cost 0 4.074 * * [simplify]: Extracting # 5 : cost 0 4.075 * * [simplify]: Extracting # 6 : cost 0 4.076 * * [simplify]: iteration 1 : 581 enodes (cost 3518 ) 4.576 * * [simplify]: Extracting # 0 : cost 0 4.581 * * [simplify]: Extracting # 1 : cost 0 4.587 * * [simplify]: Extracting # 2 : cost 0 4.597 * * [simplify]: Extracting # 3 : cost 0 4.602 * * [simplify]: Extracting # 4 : cost 0 4.608 * * [simplify]: iteration 2 : 2667 enodes (cost 3263 ) 6.164 * * [simplify]: Extracting # 0 : cost 0 6.186 * * [simplify]: Extracting # 1 : cost 0 6.197 * * [simplify]: Extracting # 2 : cost 0 6.209 * * [simplify]: Extracting # 3 : cost 0 6.220 * * [simplify]: Extracting # 4 : cost 0 6.232 * * [simplify]: iteration done: 5001 enodes (cost 3116 ) 6.235 * [simplify]: Simplified to: (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 1 1 2 1 1 (pow (sqrt (+ (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x))) (+ 3 1)) (+ (/ (sqrt (- 1.0 (* x x))) 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-1 (sqrt -1))) (pow x 2)) (fma 0.5 (/ (sqrt (/ 1 (sqrt -1))) x) (sqrt (sqrt -1)))) (+ (- (- (sqrt (- (sqrt -1))) (/ 0.125 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (/ 0.25 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))) (/ 0.5 (* x (sqrt (- (sqrt -1)))))) (fma (- +nan.0) (pow x 2) (fma (sqrt 1.0) +nan.0 (fma (* +nan.0 (pow x 2)) (- (pow (sqrt 1.0) 3)) (fma +nan.0 (/ (pow x 2) (sqrt 1.0)) (fma +nan.0 (- (* x (sqrt 1.0))) (- (fma x +nan.0 (- (fma (* +nan.0 1.0) x +nan.0) (* 1.0 (* +nan.0 (pow x 2))))) (* +nan.0 (* (pow x 2) (sqrt 1.0))))))))) (fma 0.125 (/ (sqrt (/ -1 (sqrt -1))) (pow x 2)) (fma 0.5 (/ (sqrt (/ 1 (sqrt -1))) x) (sqrt (sqrt -1)))) (+ (- (- (sqrt (- (sqrt -1))) (/ 0.125 (* (pow x 2) (pow (sqrt (- (sqrt -1))) 3)))) (/ 0.25 (* (pow x 2) (* (sqrt -1) (sqrt (- (sqrt -1))))))) (/ 0.5 (* x (sqrt (- (sqrt -1)))))) (+ (/ (sqrt 1.0) x) (- (/ 1.0 x) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (+ (+ (/ 0.5 (* (pow x 2) (sqrt -1))) (/ 1.0 x)) (sqrt -1)) (- (/ 1.0 x) (+ (sqrt -1) (/ 0.5 (* (pow x 2) (sqrt -1))))) 6.237 * * * [progress]: adding candidates to table 7.630 * [progress]: [Phase 3 of 3] Extracting. 7.637 * [simplify]: Simplifying: (log (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) 7.637 * * [simplify]: Extracting # 0 : cost 0 7.637 * * [simplify]: Extracting # 1 : cost 0 7.637 * * [simplify]: Extracting # 2 : cost 0 7.637 * * [simplify]: Extracting # 3 : cost 0 7.637 * * [simplify]: Extracting # 4 : cost 0 7.638 * * [simplify]: Extracting # 5 : cost 0 7.638 * * [simplify]: Extracting # 6 : cost 0 7.638 * * [simplify]: Extracting # 7 : cost 0 7.638 * * [simplify]: Extracting # 8 : cost 0 7.638 * * [simplify]: iteration 0 : 11 enodes (cost 28 ) 7.639 * * [simplify]: Extracting # 0 : cost 0 7.639 * * [simplify]: iteration 1 : 12 enodes (cost 28 ) 7.640 * * [simplify]: Extracting # 0 : cost 0 7.640 * * [simplify]: iteration done: 12 enodes (cost 28 ) 7.640 * [simplify]: Simplified to: (log (* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) 12.925 * [regime-testing]: Baseline error score: 0.06126045353332022 12.929 * [regime-testing]: Oracle error score: 0.06126045353332022 12.929 * [regime-testing]: End program error score: 0.06126045353332022