1.029 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.129 * * * [progress]: [2/2] Setting up program. 0.137 * [progress]: [Phase 2 of 3] Improving. 0.141 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.142 * * [simplify]: iteration 0: 9 enodes 0.149 * * [simplify]: iteration 1: 16 enodes 0.153 * * [simplify]: iteration 2: 19 enodes 0.157 * * [simplify]: iteration 3: 21 enodes 0.161 * * [simplify]: iteration complete: 21 enodes 0.162 * * [simplify]: Extracting #0: cost 1 inf + 0 0.162 * * [simplify]: Extracting #1: cost 3 inf + 0 0.162 * * [simplify]: Extracting #2: cost 3 inf + 1 0.162 * * [simplify]: Extracting #3: cost 4 inf + 1 0.162 * * [simplify]: Extracting #4: cost 9 inf + 1 0.162 * * [simplify]: Extracting #5: cost 12 inf + 1 0.162 * * [simplify]: Extracting #6: cost 8 inf + 8 0.162 * * [simplify]: Extracting #7: cost 3 inf + 34 0.163 * * [simplify]: Extracting #8: cost 1 inf + 51 0.163 * * [simplify]: Extracting #9: cost 0 inf + 62 0.163 * [simplify]: Simplified to: (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 2.0) 0.222 * * [progress]: iteration 1 / 4 0.223 * * * [progress]: picking best candidate 0.229 * * * * [pick]: Picked # 0.230 * * * [progress]: localizing error 0.260 * * * [progress]: generating rewritten candidates 0.260 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1) 0.297 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.326 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.335 * * * [progress]: generating series expansions 0.335 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1) 0.342 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 0.342 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [backup-simplify]: Simplify 1.0 into 1.0 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [backup-simplify]: Simplify 1.0 into 1.0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.357 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.358 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.358 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.358 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [backup-simplify]: Simplify 1.0 into 1.0 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [backup-simplify]: Simplify 1.0 into 1.0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.359 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.360 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.360 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.361 * [backup-simplify]: Simplify 1.0 into 1.0 0.362 * [backup-simplify]: Simplify (- 1) into -1 0.362 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.365 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.366 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.371 * [backup-simplify]: Simplify 2.0 into 2.0 0.373 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 0.373 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.373 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.373 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [backup-simplify]: Simplify 1.0 into 1.0 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [backup-simplify]: Simplify 1.0 into 1.0 0.377 * [backup-simplify]: Simplify (- 1) into -1 0.377 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.377 * [backup-simplify]: Simplify (+ 1 0) into 1 0.378 * [backup-simplify]: Simplify (/ -1 1) into -1 0.378 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [backup-simplify]: Simplify 1.0 into 1.0 0.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [backup-simplify]: Simplify 1.0 into 1.0 0.379 * [backup-simplify]: Simplify (- 1) into -1 0.380 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.380 * [backup-simplify]: Simplify (+ 1 0) into 1 0.380 * [backup-simplify]: Simplify (/ -1 1) into -1 0.380 * [backup-simplify]: Simplify -1 into -1 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.381 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.384 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.384 * [backup-simplify]: Simplify 2.0 into 2.0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (- 0) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.388 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.389 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) 0.389 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.389 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.389 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.389 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [backup-simplify]: Simplify (+ 1 0) into 1 0.390 * [backup-simplify]: Simplify (- 1) into -1 0.391 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.391 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.391 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [backup-simplify]: Simplify 1.0 into 1.0 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [backup-simplify]: Simplify 1.0 into 1.0 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [backup-simplify]: Simplify (+ 1 0) into 1 0.392 * [backup-simplify]: Simplify (- 1) into -1 0.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.393 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.393 * [backup-simplify]: Simplify -1 into -1 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.396 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.396 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.401 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.402 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) 0.402 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.402 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 0.402 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.402 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.402 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.402 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [backup-simplify]: Simplify 1.0 into 1.0 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [backup-simplify]: Simplify 1.0 into 1.0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.403 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.403 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.404 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.404 * [backup-simplify]: Simplify (- 1) into -1 0.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.404 * [backup-simplify]: Simplify (+ 1 0) into 1 0.406 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.407 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.408 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.408 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [backup-simplify]: Simplify 1.0 into 1.0 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [backup-simplify]: Simplify 1.0 into 1.0 0.408 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.409 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.410 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.410 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.411 * [backup-simplify]: Simplify (- 1) into -1 0.411 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.414 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.416 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.417 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.418 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 0.419 * [backup-simplify]: Simplify (- 0) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.430 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.436 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 0.444 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 0.444 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 0.444 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.444 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.444 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.444 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [backup-simplify]: Simplify 1.0 into 1.0 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [backup-simplify]: Simplify 1.0 into 1.0 0.445 * [backup-simplify]: Simplify (- 1) into -1 0.446 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.446 * [backup-simplify]: Simplify (+ 1 0) into 1 0.446 * [backup-simplify]: Simplify (/ -1 1) into -1 0.446 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.450 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.451 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.451 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.451 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.451 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [backup-simplify]: Simplify 1.0 into 1.0 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [backup-simplify]: Simplify 1.0 into 1.0 0.452 * [backup-simplify]: Simplify (- 1) into -1 0.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.452 * [backup-simplify]: Simplify (+ 1 0) into 1 0.453 * [backup-simplify]: Simplify (/ -1 1) into -1 0.453 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.456 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.457 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.457 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.458 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.468 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.472 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 0.475 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 0.475 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 0.475 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.475 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [backup-simplify]: Simplify 1.0 into 1.0 0.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [backup-simplify]: Simplify 1.0 into 1.0 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [backup-simplify]: Simplify (+ 1 0) into 1 0.477 * [backup-simplify]: Simplify (- 1) into -1 0.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.478 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.478 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.484 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.486 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.486 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.486 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [backup-simplify]: Simplify 1.0 into 1.0 0.487 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [backup-simplify]: Simplify 1.0 into 1.0 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [backup-simplify]: Simplify (+ 1 0) into 1 0.488 * [backup-simplify]: Simplify (- 1) into -1 0.489 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.489 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.489 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- 0) into 0 0.492 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.495 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.497 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.498 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.499 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.503 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.513 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.516 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 0.518 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 0.518 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.518 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.518 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.518 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.519 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.519 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.520 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.520 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.520 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.520 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.520 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.520 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.520 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.521 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.521 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.521 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.521 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.521 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.521 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.521 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.522 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.522 * * * [progress]: simplifying candidates 0.524 * [simplify]: Simplifying: (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) (- (* 2.0 (/ 1 x)) (+ (* 2.0 (/ 1 (pow x 2))) 1)) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.525 * * [simplify]: iteration 0: 162 enodes 0.568 * * [simplify]: iteration 1: 348 enodes 0.737 * * [simplify]: iteration 2: 1250 enodes 1.176 * * [simplify]: iteration complete: 5001 enodes 1.177 * * [simplify]: Extracting #0: cost 90 inf + 0 1.178 * * [simplify]: Extracting #1: cost 454 inf + 2 1.185 * * [simplify]: Extracting #2: cost 1558 inf + 31 1.196 * * [simplify]: Extracting #3: cost 1666 inf + 4484 1.212 * * [simplify]: Extracting #4: cost 383 inf + 14824 1.228 * * [simplify]: Extracting #5: cost 68 inf + 17159 1.244 * * [simplify]: Extracting #6: cost 24 inf + 17433 1.264 * * [simplify]: Extracting #7: cost 3 inf + 17530 1.276 * * [simplify]: Extracting #8: cost 0 inf + 17545 1.285 * [simplify]: Simplified to: (log (/ (- 1.0 x) (+ x 1.0))) (log (/ (- 1.0 x) (+ x 1.0))) (exp (/ (- 1.0 x) (+ x 1.0))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (* (cbrt (/ (- 1.0 x) (+ x 1.0))) (cbrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (/ (- 1.0 x) (+ x 1.0))) (pow (/ (- 1.0 x) (+ x 1.0)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (+ x (- 1.0)) (- (+ x 1.0)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (cbrt (+ x 1.0))) (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (cbrt (- 1.0 x)) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ x 1.0)) (/ (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ (/ (+ (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (- 1.0 x) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) 1 (/ (- 1.0 x) (+ x 1.0)) 1 (/ (- 1.0 x) (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x)) (/ (/ (- 1.0 x) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (/ (- 1.0 x) (sqrt (+ x 1.0))) (- 1.0 x) (- 1.0 x) (/ (+ x 1.0) (cbrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- (sqrt 1.0) (sqrt x))) (/ (+ x 1.0) (- 1.0 x)) (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (/ (/ (- 1.0 x) (+ x 1.0)) (- 1.0 x)) (* (+ x 1.0) (+ (* (+ x 1.0) x) (* 1.0 1.0))) (* (+ x 1.0) (+ x 1.0)) (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (cbrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ x 1.0)))) (sqrt (/ (cbrt (- 1.0 x)) (/ (sqrt (+ x 1.0)) (cbrt (- 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ x 1.0)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ x 1.0))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ x 1.0))) (sqrt (/ (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0)))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ x 1.0))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ x 1.0))) (sqrt (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (/ (- 1.0 x) (cbrt (+ x 1.0)))) (sqrt (/ 1 (sqrt (+ x 1.0)))) (sqrt (/ (- 1.0 x) (sqrt (+ x 1.0)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (/ (+ (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ x 1.0)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ x 1.0)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ x 1.0))) (sqrt (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (/ (- 1.0 x) (cbrt (+ x 1.0)))) (sqrt (/ 1 (sqrt (+ x 1.0)))) (sqrt (/ (- 1.0 x) (sqrt (+ x 1.0)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))) (sqrt (+ (* 1.0 1.0) (* x (- x 1.0)))) (sqrt (/ (/ (- 1.0 x) (+ x 1.0)) (- 1.0 x))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ x 1.0)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (sqrt (sqrt (/ (- 1.0 x) (+ x 1.0)))) (log (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (exp (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ x 1.0))))) (+ 1.0 (* 2.0 (- (* x x) x))) (+ (- (/ 2.0 x) (/ (/ 2.0 x) x)) -1) (+ (- (/ 2.0 x) (/ (/ 2.0 x) x)) -1) (+ (sqrt 1.0) (- (* (/ (* x x) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (* 1.0 (/ x (sqrt 1.0))))) (+ (/ 1.0 (* x (sqrt -1))) (- (sqrt -1) (/ (/ 0.5 (sqrt -1)) (* x x)))) (+ (/ 1.0 (* x (sqrt -1))) (- (sqrt -1) (/ (/ 0.5 (sqrt -1)) (* x x)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.286 * * * [progress]: adding candidates to table 1.692 * * [progress]: iteration 2 / 4 1.692 * * * [progress]: picking best candidate 1.709 * * * * [pick]: Picked # 1.709 * * * [progress]: localizing error 1.725 * * * [progress]: generating rewritten candidates 1.725 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.726 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 1.735 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.743 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.787 * * * [progress]: generating series expansions 1.787 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.788 * [backup-simplify]: Simplify (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.788 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in (x) around 0 1.788 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.788 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.788 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) in x 1.788 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.788 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.789 * [backup-simplify]: Simplify (atan (fabs (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x)))))) into (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1.789 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in (x) around 0 1.789 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.789 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1.789 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.790 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1.790 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.791 * [backup-simplify]: Simplify (atan (fabs (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x))))))) into (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1.791 * [approximate]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in (x) around 0 1.791 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.791 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) into (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1.791 * [taylor]: Taking taylor expansion of (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.791 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) into (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1.792 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) into (atan (fabs (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (atan (fabs (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x)))))))) into (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) 1.792 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 1.792 * [backup-simplify]: Simplify (sqrt (+ 1.0 x)) into (sqrt (+ x 1.0)) 1.792 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.792 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.792 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 1 into 1 1.793 * [taylor]: Taking taylor expansion of 1.0 in x 1.793 * [backup-simplify]: Simplify 1.0 into 1.0 1.793 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.794 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.794 * [backup-simplify]: Simplify (+ 1 0) into 1 1.796 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.796 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.796 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [taylor]: Taking taylor expansion of 1.0 in x 1.796 * [backup-simplify]: Simplify 1.0 into 1.0 1.796 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.797 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.797 * [backup-simplify]: Simplify (+ 1 0) into 1 1.798 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.799 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.800 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.800 * [backup-simplify]: Simplify (+ 0 0) into 0 1.805 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.806 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.810 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 1.810 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 x))) into (sqrt (+ (/ 1 x) 1.0)) 1.810 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.810 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.810 * [taylor]: Taking taylor expansion of x in x 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (/ 1 1) into 1 1.811 * [taylor]: Taking taylor expansion of 1.0 in x 1.811 * [backup-simplify]: Simplify 1.0 into 1.0 1.811 * [backup-simplify]: Simplify (+ 1 0) into 1 1.812 * [backup-simplify]: Simplify (sqrt 0) into 0 1.814 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.814 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify (/ 1 1) into 1 1.814 * [taylor]: Taking taylor expansion of 1.0 in x 1.815 * [backup-simplify]: Simplify 1.0 into 1.0 1.815 * [backup-simplify]: Simplify (+ 1 0) into 1 1.815 * [backup-simplify]: Simplify (sqrt 0) into 0 1.817 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.822 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.822 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.827 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.828 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.828 * [backup-simplify]: Simplify (sqrt (+ 1.0 (/ 1 (- x)))) into (sqrt (- 1.0 (/ 1 x))) 1.828 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.828 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.828 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.828 * [taylor]: Taking taylor expansion of 1.0 in x 1.828 * [backup-simplify]: Simplify 1.0 into 1.0 1.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.828 * [taylor]: Taking taylor expansion of x in x 1.828 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (/ 1 1) into 1 1.829 * [backup-simplify]: Simplify (- 1) into -1 1.829 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.830 * [backup-simplify]: Simplify (sqrt 0) into 0 1.831 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.831 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.831 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.831 * [taylor]: Taking taylor expansion of 1.0 in x 1.831 * [backup-simplify]: Simplify 1.0 into 1.0 1.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [backup-simplify]: Simplify (/ 1 1) into 1 1.832 * [backup-simplify]: Simplify (- 1) into -1 1.832 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.832 * [backup-simplify]: Simplify (sqrt 0) into 0 1.833 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.834 * [backup-simplify]: Simplify (- 0) into 0 1.834 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.836 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.836 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.837 * [backup-simplify]: Simplify (- 0) into 0 1.837 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.840 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.840 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.840 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.840 * [backup-simplify]: Simplify (sqrt (- 1.0 x)) into (sqrt (- 1.0 x)) 1.840 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 1.840 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.840 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.840 * [taylor]: Taking taylor expansion of 1.0 in x 1.840 * [backup-simplify]: Simplify 1.0 into 1.0 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.841 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.841 * [backup-simplify]: Simplify (- 1) into -1 1.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.842 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.842 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.842 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.842 * [taylor]: Taking taylor expansion of 1.0 in x 1.842 * [backup-simplify]: Simplify 1.0 into 1.0 1.842 * [taylor]: Taking taylor expansion of x in x 1.842 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (- 0) into 0 1.843 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.843 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.843 * [backup-simplify]: Simplify (- 1) into -1 1.844 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.845 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 1.845 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.846 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 1.846 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.850 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.855 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ -1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) 1.855 * [backup-simplify]: Simplify (sqrt (- 1.0 (/ 1 x))) into (sqrt (- 1.0 (/ 1 x))) 1.855 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.855 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.855 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.855 * [taylor]: Taking taylor expansion of 1.0 in x 1.855 * [backup-simplify]: Simplify 1.0 into 1.0 1.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.855 * [taylor]: Taking taylor expansion of x in x 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [backup-simplify]: Simplify (- 1) into -1 1.856 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.856 * [backup-simplify]: Simplify (sqrt 0) into 0 1.857 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.857 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.857 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.857 * [taylor]: Taking taylor expansion of 1.0 in x 1.857 * [backup-simplify]: Simplify 1.0 into 1.0 1.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.858 * [backup-simplify]: Simplify (- 1) into -1 1.858 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.858 * [backup-simplify]: Simplify (sqrt 0) into 0 1.859 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (- 0) into 0 1.861 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.864 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.864 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (- 0) into 0 1.866 * [backup-simplify]: Simplify (+ 0 0) into 0 1.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.870 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.870 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.870 * [backup-simplify]: Simplify (sqrt (- 1.0 (/ 1 (- x)))) into (sqrt (+ (/ 1 x) 1.0)) 1.870 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.871 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (/ 1 1) into 1 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [backup-simplify]: Simplify 1.0 into 1.0 1.872 * [backup-simplify]: Simplify (+ 1 0) into 1 1.872 * [backup-simplify]: Simplify (sqrt 0) into 0 1.873 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.873 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (/ 1 1) into 1 1.874 * [taylor]: Taking taylor expansion of 1.0 in x 1.874 * [backup-simplify]: Simplify 1.0 into 1.0 1.874 * [backup-simplify]: Simplify (+ 1 0) into 1 1.875 * [backup-simplify]: Simplify (sqrt 0) into 0 1.876 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.880 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (+ 0 0) into 0 1.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.883 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.883 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.883 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.883 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 1.883 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.883 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.883 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.884 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.884 * [taylor]: Taking taylor expansion of 1.0 in x 1.884 * [backup-simplify]: Simplify 1.0 into 1.0 1.884 * [taylor]: Taking taylor expansion of x in x 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [taylor]: Taking taylor expansion of 1.0 in x 1.884 * [backup-simplify]: Simplify 1.0 into 1.0 1.884 * [backup-simplify]: Simplify (- 0) into 0 1.884 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.884 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.885 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.885 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.885 * [backup-simplify]: Simplify (- 1) into -1 1.885 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.886 * [backup-simplify]: Simplify (+ 1 0) into 1 1.887 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.889 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.889 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.889 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.889 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.889 * [taylor]: Taking taylor expansion of 1.0 in x 1.889 * [backup-simplify]: Simplify 1.0 into 1.0 1.889 * [taylor]: Taking taylor expansion of x in x 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.889 * [taylor]: Taking taylor expansion of x in x 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [taylor]: Taking taylor expansion of 1.0 in x 1.889 * [backup-simplify]: Simplify 1.0 into 1.0 1.889 * [backup-simplify]: Simplify (- 0) into 0 1.889 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.890 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.890 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.890 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.890 * [backup-simplify]: Simplify (- 1) into -1 1.891 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.891 * [backup-simplify]: Simplify (+ 1 0) into 1 1.892 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.894 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.894 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.894 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 1.895 * [backup-simplify]: Simplify (- 0) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.898 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 1.901 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 1.905 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 1.911 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 1.911 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 1.911 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.911 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.911 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.911 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.911 * [taylor]: Taking taylor expansion of 1.0 in x 1.911 * [backup-simplify]: Simplify 1.0 into 1.0 1.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [taylor]: Taking taylor expansion of 1.0 in x 1.913 * [backup-simplify]: Simplify 1.0 into 1.0 1.913 * [backup-simplify]: Simplify (- 1) into -1 1.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.914 * [backup-simplify]: Simplify (+ 1 0) into 1 1.914 * [backup-simplify]: Simplify (/ -1 1) into -1 1.915 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (- 0) into 0 1.916 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.920 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.922 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.922 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.922 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.922 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.922 * [taylor]: Taking taylor expansion of 1.0 in x 1.922 * [backup-simplify]: Simplify 1.0 into 1.0 1.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.922 * [taylor]: Taking taylor expansion of x in x 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (/ 1 1) into 1 1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.923 * [taylor]: Taking taylor expansion of x in x 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (/ 1 1) into 1 1.923 * [taylor]: Taking taylor expansion of 1.0 in x 1.923 * [backup-simplify]: Simplify 1.0 into 1.0 1.924 * [backup-simplify]: Simplify (- 1) into -1 1.924 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.925 * [backup-simplify]: Simplify (+ 1 0) into 1 1.925 * [backup-simplify]: Simplify (/ -1 1) into -1 1.925 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify (- 0) into 0 1.927 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.928 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.931 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.933 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.933 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.934 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (- 0) into 0 1.936 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 1.949 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 1.955 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 1.957 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 1.958 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 1.958 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.958 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.958 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.958 * [taylor]: Taking taylor expansion of x in x 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.958 * [taylor]: Taking taylor expansion of 1.0 in x 1.958 * [backup-simplify]: Simplify 1.0 into 1.0 1.959 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.959 * [taylor]: Taking taylor expansion of 1.0 in x 1.959 * [backup-simplify]: Simplify 1.0 into 1.0 1.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [backup-simplify]: Simplify (+ 1 0) into 1 1.960 * [backup-simplify]: Simplify (- 1) into -1 1.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.961 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.961 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (- 0) into 0 1.964 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.967 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.969 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.969 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.969 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.969 * [taylor]: Taking taylor expansion of x in x 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.970 * [taylor]: Taking taylor expansion of 1.0 in x 1.970 * [backup-simplify]: Simplify 1.0 into 1.0 1.970 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of 1.0 in x 1.970 * [backup-simplify]: Simplify 1.0 into 1.0 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.971 * [backup-simplify]: Simplify (+ 1 0) into 1 1.973 * [backup-simplify]: Simplify (- 1) into -1 1.974 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.975 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.975 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.981 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.983 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.983 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.984 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 1.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (- 0) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 1.998 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 2.004 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 2.007 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 2.007 * * * [progress]: simplifying candidates 2.011 * [simplify]: Simplifying: (log (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (exp (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) (cbrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (* (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (sqrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (sqrt (atan (fabs (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (log (sqrt (- 1.0 x))) (exp (sqrt (- 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x))) (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x 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(sqrt x))) (sqrt (+ x 1.0))) (/ 1 (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ x 1.0)))) (/ 1 (fabs (cbrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ x 1.0)))) (/ 1 (sqrt (sqrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ x 1.0)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ 1 (sqrt (sqrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ x 1.0)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ x 1.0)))) (/ (sqrt (sqrt (- 1.0 x))) (fabs (cbrt (+ x 1.0)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ x 1.0)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ x 1.0)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ x 1.0))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ x 1.0))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ x 1.0)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (- 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ x 1.0))) (/ 1 (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ x 1.0)))) (/ 1 (fabs (cbrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ x 1.0)))) (/ 1 (sqrt (sqrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ x 1.0)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ 1 (sqrt (sqrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ x 1.0)))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (sqrt (- 1.0 x)) (fabs (cbrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ x 1.0)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ x 1.0)))) (sqrt (- 1.0 x)) (/ (sqrt (+ x 1.0)) (cbrt (sqrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (sqrt (cbrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (- (sqrt 1.0) (sqrt x)))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (+ x 1.0)) (sqrt (sqrt (- 1.0 x)))) (/ (sqrt (+ x 1.0)) (sqrt (- 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (sqrt (- 1.0 x)) (sqrt (* (- 1.0 x) (+ x 1.0)))) (* (sqrt (+ (* (+ x 1.0) x) (* 1.0 1.0))) (sqrt (+ x 1.0))) (+ x 1.0) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (atan (fabs (sqrt (/ (- 1.0 x) (+ x 1.0))))) (+ (/ (* x -1/8) (/ (pow (sqrt 1.0) 3) x)) (+ (* (/ x (sqrt 1.0)) 1/2) (sqrt 1.0))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (+ (- (/ (* x -1/8) (/ (pow (sqrt 1.0) 3) x)) (* (/ x (sqrt 1.0)) 1/2)) (sqrt 1.0)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (+ (sqrt 1.0) (- (* (/ x (/ (sqrt 1.0) x)) (- 1.0 (/ 0.5 1.0))) (/ (* 1.0 x) (sqrt 1.0)))) (+ (* (/ 1 (sqrt -1)) (- (/ 1.0 x) (/ 0.5 (* x x)))) (sqrt -1)) (+ (* (/ 1 (sqrt -1)) (- (/ 1.0 x) (/ 0.5 (* x x)))) (sqrt -1)) 2.671 * * * [progress]: adding candidates to table 3.316 * * [progress]: iteration 3 / 4 3.316 * * * [progress]: picking best candidate 3.324 * * * * [pick]: Picked # 3.324 * * * [progress]: localizing error 3.347 * * * [progress]: generating rewritten candidates 3.347 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1) 3.389 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.390 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1 1) 3.402 * * * [progress]: generating series expansions 3.402 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1) 3.403 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)) into (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) 3.403 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in (x) around 0 3.403 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in x 3.403 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.403 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.403 * [taylor]: Taking taylor expansion of 1.0 in x 3.403 * [backup-simplify]: Simplify 1.0 into 1.0 3.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.403 * [taylor]: Taking taylor expansion of x in x 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.403 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.404 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.404 * [backup-simplify]: Simplify (+ 0 0) into 0 3.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.404 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 3.404 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.404 * [taylor]: Taking taylor expansion of x in x 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify 1 into 1 3.404 * [taylor]: Taking taylor expansion of 1.0 in x 3.404 * [backup-simplify]: Simplify 1.0 into 1.0 3.405 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.405 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 3.405 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in x 3.405 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.405 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.405 * [taylor]: Taking taylor expansion of 1.0 in x 3.405 * [backup-simplify]: Simplify 1.0 into 1.0 3.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.405 * [taylor]: Taking taylor expansion of x in x 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 1 into 1 3.405 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.406 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.406 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 3.406 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.406 * [taylor]: Taking taylor expansion of x in x 3.406 * [backup-simplify]: Simplify 0 into 0 3.406 * [backup-simplify]: Simplify 1 into 1 3.406 * [taylor]: Taking taylor expansion of 1.0 in x 3.406 * [backup-simplify]: Simplify 1.0 into 1.0 3.407 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.407 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 3.408 * [backup-simplify]: Simplify (* (sqrt 1.0) 1.0) into (* 1.0 (sqrt 1.0)) 3.408 * [backup-simplify]: Simplify (* 1.0 (sqrt 1.0)) into (* 1.0 (sqrt 1.0)) 3.408 * [backup-simplify]: Simplify (+ 1 0) into 1 3.410 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 3.411 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (- 1.0)) (* 0 1.0)) into (- (* 1.0 (sqrt 1.0))) 3.412 * [backup-simplify]: Simplify (- (* 1.0 (sqrt 1.0))) into (- (* 1.0 (sqrt 1.0))) 3.412 * [backup-simplify]: Simplify (+ 0 0) into 0 3.415 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 3.415 * [backup-simplify]: Simplify (* 1 1) into 1 3.415 * [backup-simplify]: Simplify (- 1) into -1 3.416 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.417 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 3.420 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1.0) (+ (* 0 (- 1.0)) (* (/ -1/2 (sqrt 1.0)) 1.0))) into (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) 3.422 * [backup-simplify]: Simplify (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) into (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) 3.428 * [backup-simplify]: Simplify (+ (* (- (* 1.0 (sqrt 1.0)) (* 0.5 (/ 1 (sqrt 1.0)))) (pow x 2)) (+ (* (- (* 1.0 (sqrt 1.0))) x) (* 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (sqrt 1.0)) (* 1.0 (* (sqrt 1.0) (pow x 2)))) (+ (* 1.0 (* (sqrt 1.0) x)) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) 3.429 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) (+ (/ 1 x) 1.0)) into (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) 3.429 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 3.429 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.429 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 3.429 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.429 * [taylor]: Taking taylor expansion of x in x 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 1 into 1 3.429 * [backup-simplify]: Simplify (/ 1 1) into 1 3.429 * [taylor]: Taking taylor expansion of 1.0 in x 3.429 * [backup-simplify]: Simplify 1.0 into 1.0 3.430 * [backup-simplify]: Simplify (+ 1 0) into 1 3.430 * [backup-simplify]: Simplify (/ 1 1) into 1 3.430 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.430 * [taylor]: Taking taylor expansion of 1.0 in x 3.430 * [backup-simplify]: Simplify 1.0 into 1.0 3.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.430 * [taylor]: Taking taylor expansion of x in x 3.430 * [backup-simplify]: Simplify 0 into 0 3.430 * [backup-simplify]: Simplify 1 into 1 3.431 * [backup-simplify]: Simplify (* 1 1) into 1 3.431 * [backup-simplify]: Simplify (/ 1 1) into 1 3.431 * [backup-simplify]: Simplify (- 1) into -1 3.432 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.432 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (- 0) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.435 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.435 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 3.435 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 3.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.435 * [taylor]: Taking taylor expansion of x in x 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 1 into 1 3.436 * [backup-simplify]: Simplify (/ 1 1) into 1 3.436 * [taylor]: Taking taylor expansion of 1.0 in x 3.436 * [backup-simplify]: Simplify 1.0 into 1.0 3.436 * [backup-simplify]: Simplify (+ 1 0) into 1 3.437 * [backup-simplify]: Simplify (/ 1 1) into 1 3.437 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.437 * [taylor]: Taking taylor expansion of 1.0 in x 3.437 * [backup-simplify]: Simplify 1.0 into 1.0 3.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.437 * [taylor]: Taking taylor expansion of x in x 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (* 1 1) into 1 3.438 * [backup-simplify]: Simplify (/ 1 1) into 1 3.438 * [backup-simplify]: Simplify (- 1) into -1 3.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.439 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (- 0) into 0 3.441 * [backup-simplify]: Simplify (+ 0 0) into 0 3.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.443 * [backup-simplify]: Simplify (* 1 (sqrt -1)) into (sqrt -1) 3.443 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 3.450 * [backup-simplify]: Simplify (+ (* 1 0) (* (- 1.0) (sqrt -1))) into (- (* 1.0 (sqrt -1))) 3.451 * [backup-simplify]: Simplify (- (* 1.0 (sqrt -1))) into (- (* 1.0 (sqrt -1))) 3.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.454 * [backup-simplify]: Simplify (- 0) into 0 3.454 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.458 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (+ 0 0) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 3.472 * [backup-simplify]: Simplify (+ (* 1 (/ 0.5 (sqrt -1))) (+ (* (- 1.0) 0) (* 1.0 (sqrt -1)))) into (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) 3.476 * [backup-simplify]: Simplify (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) into (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) 3.482 * [backup-simplify]: Simplify (+ (* (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1)))) (pow (/ 1 x) 2)) (+ (* (- (* 1.0 (sqrt -1))) (/ 1 x)) (sqrt -1))) into (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2))))) (* 1.0 (/ (sqrt -1) x))) 3.483 * [backup-simplify]: Simplify (/ (sqrt (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x))))) (+ (/ 1 (- x)) 1.0)) into (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) 3.483 * [approximate]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 3.483 * [taylor]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.483 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.483 * [taylor]: Taking taylor expansion of 1.0 in x 3.483 * [backup-simplify]: Simplify 1.0 into 1.0 3.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.483 * [taylor]: Taking taylor expansion of x in x 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.484 * [backup-simplify]: Simplify (/ 1 1) into 1 3.484 * [backup-simplify]: Simplify (- 1) into -1 3.485 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.485 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.485 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.485 * [taylor]: Taking taylor expansion of 1.0 in x 3.485 * [backup-simplify]: Simplify 1.0 into 1.0 3.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.485 * [taylor]: Taking taylor expansion of x in x 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 1 into 1 3.486 * [backup-simplify]: Simplify (* 1 1) into 1 3.486 * [backup-simplify]: Simplify (/ 1 1) into 1 3.486 * [backup-simplify]: Simplify (- 1) into -1 3.487 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.487 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.489 * [backup-simplify]: Simplify (- 0) into 0 3.489 * [backup-simplify]: Simplify (+ 0 0) into 0 3.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.490 * [taylor]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 3.490 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 3.490 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.490 * [taylor]: Taking taylor expansion of 1.0 in x 3.490 * [backup-simplify]: Simplify 1.0 into 1.0 3.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.490 * [taylor]: Taking taylor expansion of x in x 3.490 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify 1 into 1 3.491 * [backup-simplify]: Simplify (/ 1 1) into 1 3.491 * [backup-simplify]: Simplify (- 1) into -1 3.491 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.492 * [backup-simplify]: Simplify (/ 1 -1) into -1 3.492 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.492 * [taylor]: Taking taylor expansion of 1.0 in x 3.492 * [backup-simplify]: Simplify 1.0 into 1.0 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.492 * [taylor]: Taking taylor expansion of x in x 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (* 1 1) into 1 3.493 * [backup-simplify]: Simplify (/ 1 1) into 1 3.493 * [backup-simplify]: Simplify (- 1) into -1 3.493 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.494 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (- 0) into 0 3.496 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.497 * [backup-simplify]: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -1)) 3.498 * [backup-simplify]: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -1)) 3.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.499 * [backup-simplify]: Simplify (- 0) into 0 3.500 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.502 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 3.505 * [backup-simplify]: Simplify (+ (* -1 0) (* (- 1.0) (sqrt -1))) into (- (* 1.0 (sqrt -1))) 3.506 * [backup-simplify]: Simplify (- (* 1.0 (sqrt -1))) into (- (* 1.0 (sqrt -1))) 3.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.508 * [backup-simplify]: Simplify (- 0) into 0 3.509 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.512 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.513 * [backup-simplify]: Simplify (- 0) into 0 3.514 * [backup-simplify]: Simplify (+ 0 0) into 0 3.518 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 3.524 * [backup-simplify]: Simplify (+ (* -1 (/ 0.5 (sqrt -1))) (+ (* (- 1.0) 0) (* (- 1.0) (sqrt -1)))) into (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) 3.529 * [backup-simplify]: Simplify (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) into (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) 3.537 * [backup-simplify]: Simplify (+ (* (- (+ (* 1.0 (sqrt -1)) (* 0.5 (/ 1 (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* 1.0 (sqrt -1))) (/ 1 (- x))) (* -1 (sqrt -1)))) into (- (* 1.0 (/ (sqrt -1) x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2)))))) 3.537 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 3.537 * [backup-simplify]: Simplify (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.537 * [approximate]: Taking taylor expansion of (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) in (x) around 0 3.537 * [taylor]: Taking taylor expansion of (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) in x 3.538 * [backup-simplify]: Simplify (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.538 * [taylor]: Taking taylor expansion of (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) in x 3.538 * [backup-simplify]: Simplify (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.539 * [backup-simplify]: Simplify (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.540 * [backup-simplify]: Simplify (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) (+ (/ 1 x) 1.0)))) into (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.540 * [approximate]: Taking taylor expansion of (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 3.540 * [taylor]: Taking taylor expansion of (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 3.540 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) into (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.540 * [taylor]: Taking taylor expansion of (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 3.541 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) into (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.541 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) into (atan (fabs (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (+ (/ 1 (/ 1 x)) 1.0)) (sqrt (- 1.0 (/ 1 (pow (/ 1 x) 2))))))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.543 * [backup-simplify]: Simplify (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x))))) (+ (/ 1 (- x)) 1.0)))) into (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.543 * [approximate]: Taking taylor expansion of (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in (x) around 0 3.543 * [taylor]: Taking taylor expansion of (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 3.543 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) into (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.543 * [taylor]: Taking taylor expansion of (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 3.544 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) into (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.544 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) into (atan (fabs (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify (atan (fabs (* (/ 1 (- 1.0 (/ 1 (/ 1 (- x))))) (sqrt (- 1.0 (/ 1 (pow (/ 1 (- x)) 2))))))) into (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) 3.545 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1 1) 3.546 * [backup-simplify]: Simplify (sqrt (- (* 1.0 1.0) (* x x))) into (sqrt (- 1.0 (pow x 2))) 3.546 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 3.546 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.546 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.546 * [taylor]: Taking taylor expansion of 1.0 in x 3.546 * [backup-simplify]: Simplify 1.0 into 1.0 3.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.546 * [taylor]: Taking taylor expansion of x in x 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.547 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.547 * [backup-simplify]: Simplify (+ 0 0) into 0 3.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.548 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 3.548 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 3.548 * [taylor]: Taking taylor expansion of 1.0 in x 3.548 * [backup-simplify]: Simplify 1.0 into 1.0 3.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.548 * [taylor]: Taking taylor expansion of x in x 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.549 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.550 * [backup-simplify]: Simplify (+ 0 0) into 0 3.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.551 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.551 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify (* 1 1) into 1 3.552 * [backup-simplify]: Simplify (- 1) into -1 3.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.555 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 3.556 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 3.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.556 * [backup-simplify]: Simplify (- 0) into 0 3.556 * [backup-simplify]: Simplify (+ 0 0) into 0 3.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 3.557 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.558 * [backup-simplify]: Simplify (- 0) into 0 3.558 * [backup-simplify]: Simplify (+ 0 0) into 0 3.562 * [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)) 3.563 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.566 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 3.566 * [backup-simplify]: Simplify (sqrt (- (* 1.0 1.0) (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 3.566 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 3.566 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.566 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.566 * [taylor]: Taking taylor expansion of 1.0 in x 3.566 * [backup-simplify]: Simplify 1.0 into 1.0 3.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.566 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.566 * [taylor]: Taking taylor expansion of x in x 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (* 1 1) into 1 3.567 * [backup-simplify]: Simplify (/ 1 1) into 1 3.567 * [backup-simplify]: Simplify (- 1) into -1 3.567 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.568 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.569 * [backup-simplify]: Simplify (- 0) into 0 3.569 * [backup-simplify]: Simplify (+ 0 0) into 0 3.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.569 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.569 * [taylor]: Taking taylor expansion of 1.0 in x 3.569 * [backup-simplify]: Simplify 1.0 into 1.0 3.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.570 * [taylor]: Taking taylor expansion of x in x 3.570 * [backup-simplify]: Simplify 0 into 0 3.570 * [backup-simplify]: Simplify 1 into 1 3.570 * [backup-simplify]: Simplify (* 1 1) into 1 3.570 * [backup-simplify]: Simplify (/ 1 1) into 1 3.570 * [backup-simplify]: Simplify (- 1) into -1 3.571 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.571 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.572 * [backup-simplify]: Simplify (- 0) into 0 3.572 * [backup-simplify]: Simplify (+ 0 0) into 0 3.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.573 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (- 0) into 0 3.575 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.576 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.577 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 3.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (- 0) into 0 3.579 * [backup-simplify]: Simplify (+ 0 0) into 0 3.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.580 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.581 * [backup-simplify]: Simplify (- 0) into 0 3.582 * [backup-simplify]: Simplify (+ 0 0) into 0 3.585 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 3.586 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 3.591 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 3.592 * [backup-simplify]: Simplify (sqrt (- (* 1.0 1.0) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 3.592 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 3.592 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.592 * [taylor]: Taking taylor expansion of 1.0 in x 3.592 * [backup-simplify]: Simplify 1.0 into 1.0 3.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.592 * [taylor]: Taking taylor expansion of x in x 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [backup-simplify]: Simplify (* 1 1) into 1 3.593 * [backup-simplify]: Simplify (/ 1 1) into 1 3.593 * [backup-simplify]: Simplify (- 1) into -1 3.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.594 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (- 0) into 0 3.596 * [backup-simplify]: Simplify (+ 0 0) into 0 3.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.597 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 3.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 3.597 * [taylor]: Taking taylor expansion of 1.0 in x 3.597 * [backup-simplify]: Simplify 1.0 into 1.0 3.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.597 * [taylor]: Taking taylor expansion of x in x 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify 1 into 1 3.598 * [backup-simplify]: Simplify (* 1 1) into 1 3.598 * [backup-simplify]: Simplify (/ 1 1) into 1 3.598 * [backup-simplify]: Simplify (- 1) into -1 3.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.599 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (- 0) into 0 3.601 * [backup-simplify]: Simplify (+ 0 0) into 0 3.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.602 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.602 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (- 0) into 0 3.605 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.609 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 3.609 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 3.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.612 * [backup-simplify]: Simplify (- 0) into 0 3.612 * [backup-simplify]: Simplify (+ 0 0) into 0 3.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.614 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (- 0) into 0 3.617 * [backup-simplify]: Simplify (+ 0 0) into 0 3.623 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 3.625 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 3.629 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 3.629 * * * [progress]: simplifying candidates 3.632 * [simplify]: Simplifying: (- (log (sqrt (- (* 1.0 1.0) (* x x)))) (log (+ x 1.0))) (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (exp (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (/ (* (* (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (* 1.0 1.0) (* x x)))) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (* (* (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))) (- (sqrt (- (* 1.0 1.0) (* x x)))) (- (+ x 1.0)) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ x 1.0))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (+ x 1.0))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ x 1.0))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (+ x 1.0))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ x 1.0))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (sqrt 1) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ x 1.0))) (/ (sqrt 1) (sqrt (+ x 1.0))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ x 1.0))) (/ (sqrt 1) 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (/ (sqrt 1) 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (/ (sqrt (+ 1.0 x)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (- 1.0 x)) (cbrt (+ x 1.0))) (/ (sqrt (+ 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (- 1.0 x)) (sqrt (+ x 1.0))) (/ (sqrt (+ 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (/ (sqrt (+ 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ x 1.0)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ x 1.0))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ x 1.0))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ x 1.0))) (/ 1 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (/ 1 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ x 1.0))) (/ (sqrt (- (* 1.0 1.0) (* x x))) 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) 1) (/ (+ x 1.0) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ x 1.0) (sqrt (cbrt (- (* 1.0 1.0) (* x x))))) (/ (+ x 1.0) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ x 1.0) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (+ x 1.0) (sqrt (- 1.0 x))) (/ (+ x 1.0) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ x 1.0) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ (pow x 3) (pow 1.0 3))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x)))))) (* (+ x 1.0) (sqrt (+ (* 1.0 1.0) (* x x)))) (log (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (exp (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (* (cbrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (cbrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)))))) (cbrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (* (* (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0)))) (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (sqrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (sqrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ x 1.0))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (exp (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (* (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt 1) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (- (pow (* 1.0 1.0) 3) (pow (* x x) 3))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x))))) (sqrt (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* x x)))) (sqrt (+ (* 1.0 1.0) (* x x))) (/ 1 2) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (- (+ (* 1.0 (sqrt 1.0)) (* 1.0 (* (sqrt 1.0) (pow x 2)))) (+ (* 1.0 (* (sqrt 1.0) x)) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2))))) (* 1.0 (/ (sqrt -1) x))) (- (* 1.0 (/ (sqrt -1) x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2)))))) (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) (atan (fabs (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 3.636 * * [simplify]: iteration 0: 167 enodes 3.687 * * [simplify]: iteration 1: 383 enodes 3.856 * * [simplify]: iteration 2: 1645 enodes 4.368 * * [simplify]: iteration complete: 5002 enodes 4.369 * * [simplify]: Extracting #0: cost 72 inf + 0 4.369 * * [simplify]: Extracting #1: cost 287 inf + 2 4.371 * * [simplify]: Extracting #2: cost 821 inf + 17 4.381 * * [simplify]: Extracting #3: cost 2127 inf + 253 4.388 * * [simplify]: Extracting #4: cost 1277 inf + 5306 4.395 * * [simplify]: Extracting #5: cost 312 inf + 12535 4.403 * * [simplify]: Extracting #6: cost 87 inf + 14886 4.410 * * [simplify]: Extracting #7: cost 9 inf + 15547 4.417 * * [simplify]: Extracting #8: cost 0 inf + 15601 4.425 * [simplify]: Simplified to: (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (log (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (exp (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (pow (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 3) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (cbrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (pow (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 3) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (- (sqrt (- (* 1.0 1.0) (* x x)))) (- (+ x 1.0)) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (cbrt (+ 1.0 x)) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (sqrt (+ 1.0 x))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (/ (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (/ 1 (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt (+ 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) 1 (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (/ 1 (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) 1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 1 (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (+ 1.0 x))) (cbrt (+ 1.0 x))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x))) (/ (+ 1.0 x) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (cbrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (sqrt (- (* 1.0 1.0) (* x x))))) (/ (+ 1.0 x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ (pow x 3) (pow 1.0 3))) (/ (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (- x 1.0)) (* (sqrt (+ (pow x 4) (+ (* (* x (* 1.0 1.0)) x) (pow 1.0 4)))) (+ 1.0 x)) (* (+ 1.0 x) (sqrt (+ (* 1.0 1.0) (* x x)))) (log (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (exp (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (* (cbrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (cbrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))))) (cbrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (pow (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) 3) (sqrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (sqrt (atan (fabs (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x))))) (log (sqrt (- (* 1.0 1.0) (* x x)))) (exp (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (cbrt (sqrt (- (* 1.0 1.0) (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (* x x)))) (pow (sqrt (- (* 1.0 1.0) (* x x))) 3) (fabs (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) 1 (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 6) (pow x 6))) (sqrt (+ (pow x 4) (+ (* (* x (* 1.0 1.0)) x) (pow 1.0 4)))) (sqrt (- (pow 1.0 4) (pow x 4))) (sqrt (+ (* 1.0 1.0) (* x x))) 1/2 (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (sqrt (- (* 1.0 1.0) (* x x)))) (- (* 1.0 (- (* (+ (* x x) 1) (sqrt 1.0)) (* (sqrt 1.0) x))) (* (/ (* x x) (sqrt 1.0)) 0.5)) (+ (+ (sqrt -1) (/ (/ 0.5 (* x x)) (sqrt -1))) (- (/ (/ (* 1.0 (sqrt -1)) x) x) (/ (* 1.0 (sqrt -1)) x))) (- (- (/ (* 1.0 (sqrt -1)) x) (/ (/ 0.5 (* x x)) (sqrt -1))) (+ (sqrt -1) (/ (/ (* 1.0 (sqrt -1)) x) x))) (atan (fabs (/ (sqrt (- 1.0 (* x x))) (+ 1.0 x)))) (atan (fabs (/ (sqrt (- 1.0 (* x x))) (+ 1.0 x)))) (atan (fabs (/ (sqrt (- 1.0 (* x x))) (+ 1.0 x)))) (- (- (sqrt 1.0) (/ (/ (* (pow x 4) 1/8) (sqrt 1.0)) 1.0)) (* (/ (* x x) (sqrt 1.0)) 1/2)) (- (+ (* x (sqrt -1)) (/ (/ 0.5 x) (sqrt -1))) (/ (/ 0.125 (- (sqrt -1))) (pow x 3))) (- (- (/ (/ 0.125 (- (sqrt -1))) (pow x 3)) (* x (sqrt -1))) (/ (/ 0.5 x) (sqrt -1))) 4.426 * * * [progress]: adding candidates to table 4.853 * * [progress]: iteration 4 / 4 4.853 * * * [progress]: picking best candidate 4.862 * * * * [pick]: Picked # 4.862 * * * [progress]: localizing error 4.904 * * * [progress]: generating rewritten candidates 4.904 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 4.972 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 2) 5.035 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 5.043 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2) 5.092 * * * [progress]: generating series expansions 5.092 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 5.092 * [backup-simplify]: Simplify (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x)))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 5.092 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 5.092 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 5.092 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 5.092 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 5.092 * [taylor]: Taking taylor expansion of 1.0 in x 5.092 * [backup-simplify]: Simplify 1.0 into 1.0 5.092 * [taylor]: Taking taylor expansion of x in x 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.092 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.092 * [taylor]: Taking taylor expansion of x in x 5.092 * [backup-simplify]: Simplify 0 into 0 5.092 * [backup-simplify]: Simplify 1 into 1 5.092 * [taylor]: Taking taylor expansion of 1.0 in x 5.092 * [backup-simplify]: Simplify 1.0 into 1.0 5.093 * [backup-simplify]: Simplify (- 0) into 0 5.093 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.093 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.094 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 5.094 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.094 * [backup-simplify]: Simplify (- 1) into -1 5.094 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.095 * [backup-simplify]: Simplify (+ 1 0) into 1 5.096 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 5.097 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 5.097 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 5.098 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 5.098 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 5.098 * [taylor]: Taking taylor expansion of 1.0 in x 5.098 * [backup-simplify]: Simplify 1.0 into 1.0 5.098 * [taylor]: Taking taylor expansion of x in x 5.098 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify 1 into 1 5.098 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.098 * [taylor]: Taking taylor expansion of x in x 5.098 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify 1 into 1 5.098 * [taylor]: Taking taylor expansion of 1.0 in x 5.098 * [backup-simplify]: Simplify 1.0 into 1.0 5.098 * [backup-simplify]: Simplify (- 0) into 0 5.098 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.098 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.099 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 5.099 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.099 * [backup-simplify]: Simplify (- 1) into -1 5.099 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.100 * [backup-simplify]: Simplify (+ 1 0) into 1 5.101 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 5.103 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 5.103 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 5.104 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 5.104 * [backup-simplify]: Simplify (- 0) into 0 5.104 * [backup-simplify]: Simplify (+ 0 0) into 0 5.104 * [backup-simplify]: Simplify (+ 0 0) into 0 5.107 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 5.110 * [backup-simplify]: Simplify (/ (- 2.0 (pow (/ -1.0 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 5.116 * [backup-simplify]: Simplify (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) into (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) 5.125 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 2.0 (* 1.0 (/ 1 (pow (sqrt 1.0) 2)))) (sqrt 1.0))) (pow x 2)) (+ (* (/ -1.0 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) 5.126 * [backup-simplify]: Simplify (/ (/ (sqrt (- 1.0 (/ 1 x))) (* (cbrt (sqrt (+ (/ 1 x) 1.0))) (cbrt (sqrt (+ (/ 1 x) 1.0))))) (cbrt (sqrt (+ 1.0 (/ 1 x))))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 5.126 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 5.126 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 5.126 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 5.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.126 * [taylor]: Taking taylor expansion of 1.0 in x 5.126 * [backup-simplify]: Simplify 1.0 into 1.0 5.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.126 * [taylor]: Taking taylor expansion of x in x 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 1 into 1 5.126 * [backup-simplify]: Simplify (/ 1 1) into 1 5.126 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.126 * [taylor]: Taking taylor expansion of x in x 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [backup-simplify]: Simplify (/ 1 1) into 1 5.127 * [taylor]: Taking taylor expansion of 1.0 in x 5.127 * [backup-simplify]: Simplify 1.0 into 1.0 5.128 * [backup-simplify]: Simplify (- 1) into -1 5.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.129 * [backup-simplify]: Simplify (+ 1 0) into 1 5.129 * [backup-simplify]: Simplify (/ -1 1) into -1 5.129 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.130 * [backup-simplify]: Simplify (- 0) into 0 5.131 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.132 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.135 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 5.137 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 5.137 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 5.137 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 5.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.137 * [taylor]: Taking taylor expansion of 1.0 in x 5.137 * [backup-simplify]: Simplify 1.0 into 1.0 5.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.137 * [taylor]: Taking taylor expansion of x in x 5.137 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify 1 into 1 5.137 * [backup-simplify]: Simplify (/ 1 1) into 1 5.137 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.138 * [taylor]: Taking taylor expansion of x in x 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify 1 into 1 5.138 * [backup-simplify]: Simplify (/ 1 1) into 1 5.138 * [taylor]: Taking taylor expansion of 1.0 in x 5.138 * [backup-simplify]: Simplify 1.0 into 1.0 5.138 * [backup-simplify]: Simplify (- 1) into -1 5.139 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.139 * [backup-simplify]: Simplify (+ 1 0) into 1 5.140 * [backup-simplify]: Simplify (/ -1 1) into -1 5.140 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.142 * [backup-simplify]: Simplify (- 0) into 0 5.142 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.143 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.146 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 5.148 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 5.148 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.149 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 5.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.150 * [backup-simplify]: Simplify (- 0) into 0 5.151 * [backup-simplify]: Simplify (+ 0 0) into 0 5.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.152 * [backup-simplify]: Simplify (+ 0 0) into 0 5.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 5.158 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ 1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 5.166 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 5.168 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 5.168 * [backup-simplify]: Simplify (/ (/ (sqrt (- 1.0 (/ 1 (- x)))) (* (cbrt (sqrt (+ (/ 1 (- x)) 1.0))) (cbrt (sqrt (+ (/ 1 (- x)) 1.0))))) (cbrt (sqrt (+ 1.0 (/ 1 (- x)))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 5.168 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 5.168 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 5.168 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 5.168 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.168 * [taylor]: Taking taylor expansion of x in x 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.168 * [backup-simplify]: Simplify (/ 1 1) into 1 5.168 * [taylor]: Taking taylor expansion of 1.0 in x 5.168 * [backup-simplify]: Simplify 1.0 into 1.0 5.168 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.168 * [taylor]: Taking taylor expansion of 1.0 in x 5.168 * [backup-simplify]: Simplify 1.0 into 1.0 5.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.168 * [taylor]: Taking taylor expansion of x in x 5.168 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify 1 into 1 5.169 * [backup-simplify]: Simplify (/ 1 1) into 1 5.169 * [backup-simplify]: Simplify (+ 1 0) into 1 5.169 * [backup-simplify]: Simplify (- 1) into -1 5.169 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.170 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.170 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.172 * [backup-simplify]: Simplify (- 0) into 0 5.172 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.175 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 5.177 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 5.177 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 5.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 5.177 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.177 * [taylor]: Taking taylor expansion of x in x 5.177 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify 1 into 1 5.177 * [backup-simplify]: Simplify (/ 1 1) into 1 5.177 * [taylor]: Taking taylor expansion of 1.0 in x 5.178 * [backup-simplify]: Simplify 1.0 into 1.0 5.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.178 * [taylor]: Taking taylor expansion of 1.0 in x 5.178 * [backup-simplify]: Simplify 1.0 into 1.0 5.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.178 * [taylor]: Taking taylor expansion of x in x 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [backup-simplify]: Simplify (/ 1 1) into 1 5.179 * [backup-simplify]: Simplify (+ 1 0) into 1 5.179 * [backup-simplify]: Simplify (- 1) into -1 5.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.180 * [backup-simplify]: Simplify (/ 1 -1) into -1 5.180 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.182 * [backup-simplify]: Simplify (- 0) into 0 5.183 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.186 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 5.188 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 5.189 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.190 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 5.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.191 * [backup-simplify]: Simplify (+ 0 0) into 0 5.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.192 * [backup-simplify]: Simplify (- 0) into 0 5.193 * [backup-simplify]: Simplify (+ 0 0) into 0 5.197 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 5.203 * [backup-simplify]: Simplify (/ (- (- 2.0) (pow (/ -1.0 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 5.209 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (/ -0.5 (sqrt -1)) 5.212 * [backup-simplify]: Simplify (+ (* (/ -0.5 (sqrt -1)) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.5 (/ 1 (* (pow x 2) (sqrt -1))))) 5.212 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 2) 5.213 * [backup-simplify]: Simplify (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) into (pow (+ x 1.0) 1/3) 5.213 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 5.213 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 5.213 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 5.213 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 5.213 * [taylor]: Taking taylor expansion of 1/3 in x 5.213 * [backup-simplify]: Simplify 1/3 into 1/3 5.213 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.213 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.213 * [taylor]: Taking taylor expansion of x in x 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.213 * [taylor]: Taking taylor expansion of 1.0 in x 5.213 * [backup-simplify]: Simplify 1.0 into 1.0 5.213 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.214 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.215 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 5.217 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 5.217 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 5.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 5.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 5.217 * [taylor]: Taking taylor expansion of 1/3 in x 5.217 * [backup-simplify]: Simplify 1/3 into 1/3 5.217 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.217 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.217 * [taylor]: Taking taylor expansion of x in x 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.217 * [taylor]: Taking taylor expansion of 1.0 in x 5.217 * [backup-simplify]: Simplify 1.0 into 1.0 5.218 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.218 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.219 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 5.220 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 5.221 * [backup-simplify]: Simplify (pow 1.0 1/3) into (pow 1.0 1/3) 5.222 * [backup-simplify]: Simplify (+ 1 0) into 1 5.228 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.230 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 5.236 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 5.237 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow 1.0 1/3)) into (* 0.3333333333333333 (pow 1.0 1/3)) 5.238 * [backup-simplify]: Simplify (+ 0 0) into 0 5.248 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 5.253 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 5.267 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.272 * [backup-simplify]: Simplify (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 5.280 * [backup-simplify]: Simplify (+ (* (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) (pow x 2)) (+ (* (* 0.3333333333333333 (pow 1.0 1/3)) x) (pow 1.0 1/3))) into (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) 5.280 * [backup-simplify]: Simplify (* (cbrt (sqrt (+ (/ 1 x) 1.0))) (cbrt (sqrt (+ (/ 1 x) 1.0)))) into (pow (+ (/ 1 x) 1.0) 1/3) 5.280 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/3) in (x) around 0 5.280 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/3) in x 5.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 x) 1.0)))) in x 5.280 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 x) 1.0))) in x 5.280 * [taylor]: Taking taylor expansion of 1/3 in x 5.280 * [backup-simplify]: Simplify 1/3 into 1/3 5.281 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.281 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.281 * [taylor]: Taking taylor expansion of x in x 5.281 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify 1 into 1 5.281 * [backup-simplify]: Simplify (/ 1 1) into 1 5.281 * [taylor]: Taking taylor expansion of 1.0 in x 5.281 * [backup-simplify]: Simplify 1.0 into 1.0 5.281 * [backup-simplify]: Simplify (+ 1 0) into 1 5.282 * [backup-simplify]: Simplify (log 1) into 0 5.282 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.282 * [backup-simplify]: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) 5.283 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 5.283 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/3) in x 5.283 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 x) 1.0)))) in x 5.283 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 x) 1.0))) in x 5.283 * [taylor]: Taking taylor expansion of 1/3 in x 5.283 * [backup-simplify]: Simplify 1/3 into 1/3 5.283 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.283 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.283 * [taylor]: Taking taylor expansion of x in x 5.283 * [backup-simplify]: Simplify 0 into 0 5.283 * [backup-simplify]: Simplify 1 into 1 5.283 * [backup-simplify]: Simplify (/ 1 1) into 1 5.283 * [taylor]: Taking taylor expansion of 1.0 in x 5.283 * [backup-simplify]: Simplify 1.0 into 1.0 5.284 * [backup-simplify]: Simplify (+ 1 0) into 1 5.284 * [backup-simplify]: Simplify (log 1) into 0 5.285 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.285 * [backup-simplify]: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) 5.285 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) 5.285 * [backup-simplify]: Simplify (pow x -1/3) into (pow x -1/3) 5.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.286 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.293 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.293 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log x)))) into 0.3333333333333333 5.296 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 x) 1/3)) 5.296 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 x) 1/3)) into (* 0.3333333333333333 (pow (/ 1 x) 1/3)) 5.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.297 * [backup-simplify]: Simplify (+ 0 0) into 0 5.311 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.311 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.312 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.16666666666666666) 5.315 * [backup-simplify]: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 x) 1/3)) 5.315 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 x) 1/3)) into (* -0.1111111111111111 (pow (/ 1 x) 1/3)) 5.315 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 x)) 1/3)) (pow (/ 1 x) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 x)) 1/3)) (/ 1 x)) (pow (/ 1 x) -1/3))) into (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) 5.316 * [backup-simplify]: Simplify (* (cbrt (sqrt (+ (/ 1 (- x)) 1.0))) (cbrt (sqrt (+ (/ 1 (- x)) 1.0)))) into (pow (- 1.0 (/ 1 x)) 1/3) 5.316 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 5.316 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 5.316 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 5.316 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 5.316 * [taylor]: Taking taylor expansion of 1/3 in x 5.316 * [backup-simplify]: Simplify 1/3 into 1/3 5.316 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.316 * [taylor]: Taking taylor expansion of 1.0 in x 5.316 * [backup-simplify]: Simplify 1.0 into 1.0 5.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.316 * [taylor]: Taking taylor expansion of x in x 5.316 * [backup-simplify]: Simplify 0 into 0 5.316 * [backup-simplify]: Simplify 1 into 1 5.316 * [backup-simplify]: Simplify (/ 1 1) into 1 5.316 * [backup-simplify]: Simplify (- 1) into -1 5.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.317 * [backup-simplify]: Simplify (log -1) into (log -1) 5.317 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.318 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) 5.318 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) 5.318 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 5.318 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 5.318 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 5.318 * [taylor]: Taking taylor expansion of 1/3 in x 5.318 * [backup-simplify]: Simplify 1/3 into 1/3 5.318 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.318 * [taylor]: Taking taylor expansion of 1.0 in x 5.318 * [backup-simplify]: Simplify 1.0 into 1.0 5.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.318 * [taylor]: Taking taylor expansion of x in x 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 1 into 1 5.318 * [backup-simplify]: Simplify (/ 1 1) into 1 5.319 * [backup-simplify]: Simplify (- 1) into -1 5.319 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.319 * [backup-simplify]: Simplify (log -1) into (log -1) 5.320 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.320 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) 5.320 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) 5.321 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) 5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.321 * [backup-simplify]: Simplify (- 0) into 0 5.322 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.325 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.326 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.326 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.3333333333333333) 5.329 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log x))))) 5.329 * [backup-simplify]: Simplify (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log x))))) into (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log x))))) 5.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.330 * [backup-simplify]: Simplify (- 0) into 0 5.330 * [backup-simplify]: Simplify (+ 0 0) into 0 5.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 5.340 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.342 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.16666666666666666) 5.348 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.3333333333333333) 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log x))))) 5.349 * [backup-simplify]: Simplify (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log x))))) into (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log x))))) 5.351 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.3333333333333333 (exp (* 1/3 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/3 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 5.351 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 5.351 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 x))) into (pow (+ x 1.0) 1/6) 5.351 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in (x) around 0 5.351 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 5.351 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 5.351 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 5.351 * [taylor]: Taking taylor expansion of 1/6 in x 5.351 * [backup-simplify]: Simplify 1/6 into 1/6 5.351 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.351 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.351 * [taylor]: Taking taylor expansion of x in x 5.351 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify 1 into 1 5.352 * [taylor]: Taking taylor expansion of 1.0 in x 5.352 * [backup-simplify]: Simplify 1.0 into 1.0 5.352 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.352 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.353 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 5.355 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 5.355 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 5.355 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 5.355 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 5.355 * [taylor]: Taking taylor expansion of 1/6 in x 5.355 * [backup-simplify]: Simplify 1/6 into 1/6 5.355 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.355 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.355 * [taylor]: Taking taylor expansion of x in x 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify 1 into 1 5.355 * [taylor]: Taking taylor expansion of 1.0 in x 5.355 * [backup-simplify]: Simplify 1.0 into 1.0 5.355 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.356 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.357 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 5.358 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 5.358 * [backup-simplify]: Simplify (pow 1.0 1/6) into (pow 1.0 1/6) 5.359 * [backup-simplify]: Simplify (+ 1 0) into 1 5.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.366 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (log 1.0))) into 0.16666666666666666 5.372 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow 1.0 1/6)) 5.373 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow 1.0 1/6)) into (* 0.16666666666666666 (pow 1.0 1/6)) 5.373 * [backup-simplify]: Simplify (+ 0 0) into 0 5.384 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 5.388 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/12 (/ 1 (pow 1.0 2)))) 5.402 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 5.405 * [backup-simplify]: Simplify (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 5.409 * [backup-simplify]: Simplify (+ (* (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) (pow x 2)) (+ (* (* 0.16666666666666666 (pow 1.0 1/6)) x) (pow 1.0 1/6))) into (- (+ (* 0.013888888888888888 (* (pow x 2) (pow 1.0 1/6))) (+ (pow 1.0 1/6) (* 0.16666666666666666 (* x (pow 1.0 1/6))))) (* 1/12 (* (pow x 2) (pow (/ 1 (pow 1.0 11)) 1/6)))) 5.409 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 (/ 1 x)))) into (pow (+ (/ 1 x) 1.0) 1/6) 5.409 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in (x) around 0 5.409 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in x 5.409 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 x) 1.0)))) in x 5.409 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 x) 1.0))) in x 5.409 * [taylor]: Taking taylor expansion of 1/6 in x 5.409 * [backup-simplify]: Simplify 1/6 into 1/6 5.409 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.409 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.409 * [taylor]: Taking taylor expansion of x in x 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 1 into 1 5.410 * [backup-simplify]: Simplify (/ 1 1) into 1 5.410 * [taylor]: Taking taylor expansion of 1.0 in x 5.410 * [backup-simplify]: Simplify 1.0 into 1.0 5.410 * [backup-simplify]: Simplify (+ 1 0) into 1 5.410 * [backup-simplify]: Simplify (log 1) into 0 5.410 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.411 * [backup-simplify]: Simplify (* 1/6 (- (log x))) into (* -1/6 (log x)) 5.411 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6) 5.411 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in x 5.411 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 x) 1.0)))) in x 5.411 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 x) 1.0))) in x 5.411 * [taylor]: Taking taylor expansion of 1/6 in x 5.411 * [backup-simplify]: Simplify 1/6 into 1/6 5.411 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.411 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.411 * [taylor]: Taking taylor expansion of x in x 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 1 into 1 5.411 * [backup-simplify]: Simplify (/ 1 1) into 1 5.411 * [taylor]: Taking taylor expansion of 1.0 in x 5.411 * [backup-simplify]: Simplify 1.0 into 1.0 5.411 * [backup-simplify]: Simplify (+ 1 0) into 1 5.412 * [backup-simplify]: Simplify (log 1) into 0 5.412 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.412 * [backup-simplify]: Simplify (* 1/6 (- (log x))) into (* -1/6 (log x)) 5.412 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6) 5.412 * [backup-simplify]: Simplify (pow x -1/6) into (pow x -1/6) 5.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.413 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.417 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.417 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (- (log x)))) into 0.16666666666666666 5.419 * [backup-simplify]: Simplify (* (exp (* -1/6 (log x))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow (/ 1 x) 1/6)) 5.419 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 x) 1/6)) into (* 0.16666666666666666 (pow (/ 1 x) 1/6)) 5.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.421 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.428 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.429 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.08333333333333333) 5.432 * [backup-simplify]: Simplify (* (exp (* -1/6 (log x))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (pow (/ 1 x) 1/6)) 5.432 * [backup-simplify]: Simplify (* -0.06944444444444445 (pow (/ 1 x) 1/6)) into (* -0.06944444444444445 (pow (/ 1 x) 1/6)) 5.433 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (pow (/ 1 (/ 1 x)) 1/6)) (pow (/ 1 x) 2)) (+ (* (* 0.16666666666666666 (pow (/ 1 (/ 1 x)) 1/6)) (/ 1 x)) (pow (/ 1 x) -1/6))) into (- (+ (* 0.16666666666666666 (pow (/ 1 (pow x 5)) 1/6)) (pow (/ 1 x) -1/6)) (* 0.06944444444444445 (pow (/ 1 (pow x 11)) 1/6))) 5.433 * [backup-simplify]: Simplify (cbrt (sqrt (+ 1.0 (/ 1 (- x))))) into (pow (- 1.0 (/ 1 x)) 1/6) 5.433 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in (x) around 0 5.433 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 5.433 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 5.433 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 5.433 * [taylor]: Taking taylor expansion of 1/6 in x 5.433 * [backup-simplify]: Simplify 1/6 into 1/6 5.433 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.433 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.433 * [taylor]: Taking taylor expansion of 1.0 in x 5.433 * [backup-simplify]: Simplify 1.0 into 1.0 5.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.433 * [taylor]: Taking taylor expansion of x in x 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 1 into 1 5.433 * [backup-simplify]: Simplify (/ 1 1) into 1 5.434 * [backup-simplify]: Simplify (- 1) into -1 5.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.434 * [backup-simplify]: Simplify (log -1) into (log -1) 5.435 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.435 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log x))) into (* 1/6 (- (log -1) (log x))) 5.435 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 5.436 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 5.436 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 5.436 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 5.436 * [taylor]: Taking taylor expansion of 1/6 in x 5.436 * [backup-simplify]: Simplify 1/6 into 1/6 5.436 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.436 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.436 * [taylor]: Taking taylor expansion of 1.0 in x 5.436 * [backup-simplify]: Simplify 1.0 into 1.0 5.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.436 * [taylor]: Taking taylor expansion of x in x 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [backup-simplify]: Simplify (/ 1 1) into 1 5.437 * [backup-simplify]: Simplify (- 1) into -1 5.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.437 * [backup-simplify]: Simplify (log -1) into (log -1) 5.438 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.439 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log x))) into (* 1/6 (- (log -1) (log x))) 5.439 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 5.440 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 5.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.441 * [backup-simplify]: Simplify (- 0) into 0 5.441 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.447 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.447 * [backup-simplify]: Simplify (+ (* 1/6 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.16666666666666666) 5.450 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) 5.450 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) 5.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (- 0) into 0 5.451 * [backup-simplify]: Simplify (+ 0 0) into 0 5.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 5.458 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.459 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.08333333333333333) 5.463 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) 5.463 * [backup-simplify]: Simplify (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) 5.464 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/6 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (* 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) x))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 5.464 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2) 5.465 * [backup-simplify]: Simplify (cbrt (sqrt (+ x 1.0))) into (pow (+ x 1.0) 1/6) 5.465 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in (x) around 0 5.465 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 5.465 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 5.465 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 5.465 * [taylor]: Taking taylor expansion of 1/6 in x 5.465 * [backup-simplify]: Simplify 1/6 into 1/6 5.465 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.465 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.465 * [taylor]: Taking taylor expansion of x in x 5.465 * [backup-simplify]: Simplify 0 into 0 5.465 * [backup-simplify]: Simplify 1 into 1 5.465 * [taylor]: Taking taylor expansion of 1.0 in x 5.465 * [backup-simplify]: Simplify 1.0 into 1.0 5.465 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.465 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.466 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 5.467 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 5.467 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 5.467 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 5.467 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 5.467 * [taylor]: Taking taylor expansion of 1/6 in x 5.467 * [backup-simplify]: Simplify 1/6 into 1/6 5.467 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 5.467 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.467 * [taylor]: Taking taylor expansion of x in x 5.467 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify 1 into 1 5.467 * [taylor]: Taking taylor expansion of 1.0 in x 5.467 * [backup-simplify]: Simplify 1.0 into 1.0 5.467 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.468 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 5.468 * [backup-simplify]: Simplify (* 1/6 (log 1.0)) into (* 1/6 (log 1.0)) 5.469 * [backup-simplify]: Simplify (exp (* 1/6 (log 1.0))) into (pow 1.0 1/6) 5.469 * [backup-simplify]: Simplify (pow 1.0 1/6) into (pow 1.0 1/6) 5.470 * [backup-simplify]: Simplify (+ 1 0) into 1 5.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 5.474 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (log 1.0))) into 0.16666666666666666 5.477 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow 1.0 1/6)) 5.478 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow 1.0 1/6)) into (* 0.16666666666666666 (pow 1.0 1/6)) 5.478 * [backup-simplify]: Simplify (+ 0 0) into 0 5.484 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 5.487 * [backup-simplify]: Simplify (+ (* 1/6 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/12 (/ 1 (pow 1.0 2)))) 5.496 * [backup-simplify]: Simplify (* (exp (* 1/6 (log 1.0))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 5.499 * [backup-simplify]: Simplify (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) into (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) 5.504 * [backup-simplify]: Simplify (+ (* (* (- 0.013888888888888888 (* 1/12 (/ 1 (pow 1.0 2)))) (pow 1.0 1/6)) (pow x 2)) (+ (* (* 0.16666666666666666 (pow 1.0 1/6)) x) (pow 1.0 1/6))) into (- (+ (* 0.013888888888888888 (* (pow x 2) (pow 1.0 1/6))) (+ (pow 1.0 1/6) (* 0.16666666666666666 (* x (pow 1.0 1/6))))) (* 1/12 (* (pow x 2) (pow (/ 1 (pow 1.0 11)) 1/6)))) 5.504 * [backup-simplify]: Simplify (cbrt (sqrt (+ (/ 1 x) 1.0))) into (pow (+ (/ 1 x) 1.0) 1/6) 5.504 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in (x) around 0 5.504 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in x 5.504 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 x) 1.0)))) in x 5.504 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 x) 1.0))) in x 5.504 * [taylor]: Taking taylor expansion of 1/6 in x 5.504 * [backup-simplify]: Simplify 1/6 into 1/6 5.504 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.504 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.504 * [taylor]: Taking taylor expansion of x in x 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify 1 into 1 5.505 * [backup-simplify]: Simplify (/ 1 1) into 1 5.505 * [taylor]: Taking taylor expansion of 1.0 in x 5.505 * [backup-simplify]: Simplify 1.0 into 1.0 5.505 * [backup-simplify]: Simplify (+ 1 0) into 1 5.505 * [backup-simplify]: Simplify (log 1) into 0 5.506 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.506 * [backup-simplify]: Simplify (* 1/6 (- (log x))) into (* -1/6 (log x)) 5.506 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6) 5.506 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 1/6) in x 5.506 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 x) 1.0)))) in x 5.506 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 x) 1.0))) in x 5.506 * [taylor]: Taking taylor expansion of 1/6 in x 5.506 * [backup-simplify]: Simplify 1/6 into 1/6 5.506 * [taylor]: Taking taylor expansion of (log (+ (/ 1 x) 1.0)) in x 5.506 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 5.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.506 * [taylor]: Taking taylor expansion of x in x 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [backup-simplify]: Simplify 1 into 1 5.507 * [backup-simplify]: Simplify (/ 1 1) into 1 5.507 * [taylor]: Taking taylor expansion of 1.0 in x 5.507 * [backup-simplify]: Simplify 1.0 into 1.0 5.507 * [backup-simplify]: Simplify (+ 1 0) into 1 5.508 * [backup-simplify]: Simplify (log 1) into 0 5.508 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.508 * [backup-simplify]: Simplify (* 1/6 (- (log x))) into (* -1/6 (log x)) 5.508 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6) 5.508 * [backup-simplify]: Simplify (pow x -1/6) into (pow x -1/6) 5.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.510 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 5.518 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 5.519 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.519 * [backup-simplify]: Simplify (+ (* 1/6 1.0) (* 0 (- (log x)))) into 0.16666666666666666 5.521 * [backup-simplify]: Simplify (* (exp (* -1/6 (log x))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (pow (/ 1 x) 1/6)) 5.521 * [backup-simplify]: Simplify (* 0.16666666666666666 (pow (/ 1 x) 1/6)) into (* 0.16666666666666666 (pow (/ 1 x) 1/6)) 5.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.522 * [backup-simplify]: Simplify (+ 0 0) into 0 5.528 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 5.529 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 5.529 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.08333333333333333) 5.533 * [backup-simplify]: Simplify (* (exp (* -1/6 (log x))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (pow (/ 1 x) 1/6)) 5.533 * [backup-simplify]: Simplify (* -0.06944444444444445 (pow (/ 1 x) 1/6)) into (* -0.06944444444444445 (pow (/ 1 x) 1/6)) 5.533 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (pow (/ 1 (/ 1 x)) 1/6)) (pow (/ 1 x) 2)) (+ (* (* 0.16666666666666666 (pow (/ 1 (/ 1 x)) 1/6)) (/ 1 x)) (pow (/ 1 x) -1/6))) into (- (+ (* 0.16666666666666666 (pow (/ 1 (pow x 5)) 1/6)) (pow (/ 1 x) -1/6)) (* 0.06944444444444445 (pow (/ 1 (pow x 11)) 1/6))) 5.533 * [backup-simplify]: Simplify (cbrt (sqrt (+ (/ 1 (- x)) 1.0))) into (pow (- 1.0 (/ 1 x)) 1/6) 5.533 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in (x) around 0 5.533 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 5.533 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 5.534 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 5.534 * [taylor]: Taking taylor expansion of 1/6 in x 5.534 * [backup-simplify]: Simplify 1/6 into 1/6 5.534 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.534 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.534 * [taylor]: Taking taylor expansion of 1.0 in x 5.534 * [backup-simplify]: Simplify 1.0 into 1.0 5.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.534 * [taylor]: Taking taylor expansion of x in x 5.534 * [backup-simplify]: Simplify 0 into 0 5.534 * [backup-simplify]: Simplify 1 into 1 5.534 * [backup-simplify]: Simplify (/ 1 1) into 1 5.534 * [backup-simplify]: Simplify (- 1) into -1 5.534 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.535 * [backup-simplify]: Simplify (log -1) into (log -1) 5.535 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.536 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log x))) into (* 1/6 (- (log -1) (log x))) 5.536 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 5.536 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 5.536 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 5.536 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 5.536 * [taylor]: Taking taylor expansion of 1/6 in x 5.536 * [backup-simplify]: Simplify 1/6 into 1/6 5.536 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 5.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.536 * [taylor]: Taking taylor expansion of 1.0 in x 5.536 * [backup-simplify]: Simplify 1.0 into 1.0 5.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.536 * [taylor]: Taking taylor expansion of x in x 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify 1 into 1 5.536 * [backup-simplify]: Simplify (/ 1 1) into 1 5.537 * [backup-simplify]: Simplify (- 1) into -1 5.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.537 * [backup-simplify]: Simplify (log -1) into (log -1) 5.538 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.538 * [backup-simplify]: Simplify (* 1/6 (- (log -1) (log x))) into (* 1/6 (- (log -1) (log x))) 5.538 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 5.539 * [backup-simplify]: Simplify (exp (* 1/6 (- (log -1) (log x)))) into (exp (* 1/6 (- (log -1) (log x)))) 5.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.539 * [backup-simplify]: Simplify (- 0) into 0 5.540 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.543 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 5.544 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.545 * [backup-simplify]: Simplify (+ (* 1/6 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.16666666666666666) 5.547 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) 5.547 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) into (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log x))))) 5.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.548 * [backup-simplify]: Simplify (- 0) into 0 5.548 * [backup-simplify]: Simplify (+ 0 0) into 0 5.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 5.558 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 5.560 * [backup-simplify]: Simplify (+ (* 1/6 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.08333333333333333) 5.567 * [backup-simplify]: Simplify (* (exp (* 1/6 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.08333333333333333) 1) 1)))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) 5.568 * [backup-simplify]: Simplify (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) into (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log x))))) 5.570 * [backup-simplify]: Simplify (+ (* (* -0.06944444444444445 (exp (* 1/6 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/6 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/6 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (* 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) x))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 5.570 * * * [progress]: simplifying candidates 5.582 * [simplify]: Simplifying: (- (- (log (sqrt (- 1.0 x))) (+ (log (cbrt (sqrt (+ x 1.0)))) (log (cbrt (sqrt (+ x 1.0)))))) (log (cbrt (sqrt (+ 1.0 x))))) (- (- (log (sqrt (- 1.0 x))) (log (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (log (cbrt (sqrt (+ 1.0 x))))) (- (log (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (log (cbrt (sqrt (+ 1.0 x))))) (log (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (exp (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (/ (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (sqrt (+ 1.0 x))) (/ (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 x))) (/ (* (* (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 x))) (* (cbrt (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (cbrt (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x)))))) (cbrt (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (* (* (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x)))) (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (/ (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 x))))) (- (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (- (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (cbrt (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (/ (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (cbrt (sqrt (+ 1.0 x))))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (cbrt (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (/ (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (sqrt (cbrt (+ 1.0 x))))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (/ (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (cbrt (sqrt 1))) (/ (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (cbrt (sqrt 1))) (/ (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (/ (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (sqrt (sqrt (+ 1.0 x))))) (/ (* (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt (- 1.0 x)) (* (cbrt 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0.06944444444444445 (pow (/ 1 (pow x 11)) 1/6))) (- (+ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (* 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) x))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 5.592 * * [simplify]: iteration 0: 525 enodes 5.850 * * [simplify]: iteration 1: 1266 enodes 6.204 * * [simplify]: iteration complete: 5001 enodes 6.205 * * [simplify]: Extracting #0: cost 234 inf + 0 6.208 * * [simplify]: Extracting #1: cost 1327 inf + 3 6.228 * * [simplify]: Extracting #2: cost 1933 inf + 116 6.241 * * [simplify]: Extracting #3: cost 2068 inf + 668 6.253 * * [simplify]: Extracting #4: cost 1425 inf + 7485 6.261 * * [simplify]: Extracting #5: cost 523 inf + 21278 6.269 * * [simplify]: Extracting #6: cost 199 inf + 28068 6.277 * * [simplify]: Extracting #7: cost 80 inf + 29905 6.289 * * [simplify]: Extracting #8: cost 25 inf + 30488 6.296 * * [simplify]: Extracting #9: cost 0 inf + 30871 6.307 * [simplify]: Simplified to: 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(exp (* 1/6 (- (log -1) (log (/ -1 x))))) 0.06944444444444445) (pow x 2)))) 6.311 * * * [progress]: adding candidates to table 8.126 * [progress]: [Phase 3 of 3] Extracting. 8.126 * * [regime]: Finding splitpoints for: (# #) 8.128 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.129 * * * * [regimes]: Trying to branch on x from (# #) 8.164 * * * [regime]: Found split indices: #