0.755 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.328 * * * [progress]: [2/2] Setting up program. 0.332 * [progress]: [Phase 2 of 3] Improving. 0.334 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.335 * [simplify]: Sending expressions to egg_math: (* h0 (atan (sqrt (/ (- h1 h2) (+ h1 h2))))) 0.338 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.339 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.340 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.342 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.343 * * [progress]: iteration 1 / 4 0.343 * * * [progress]: picking best candidate 0.346 * * * * [pick]: Picked # 0.346 * * * [progress]: localizing error 0.380 * * * [progress]: generating rewritten candidates 0.381 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.407 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.424 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.430 * * * [progress]: generating series expansions 0.430 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.434 * [backup-simplify]: Simplify (/ (- 1.0 x) (+ 1.0 x)) into (/ (- 1.0 x) (+ x 1.0)) 0.435 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.435 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [backup-simplify]: Simplify 1.0 into 1.0 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [backup-simplify]: Simplify 1.0 into 1.0 0.437 * [backup-simplify]: Simplify (- 0) into 0 0.437 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.437 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.438 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.438 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.438 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [backup-simplify]: Simplify 1.0 into 1.0 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [backup-simplify]: Simplify 1.0 into 1.0 0.438 * [backup-simplify]: Simplify (- 0) into 0 0.438 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.438 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.439 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.439 * [backup-simplify]: Simplify 1.0 into 1.0 0.440 * [backup-simplify]: Simplify (- 1) into -1 0.440 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.440 * [backup-simplify]: Simplify (+ 1 0) into 1 0.442 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.442 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.442 * [backup-simplify]: Simplify (- 0) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.445 * [backup-simplify]: Simplify 2.0 into 2.0 0.446 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 0.447 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 0.447 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [backup-simplify]: Simplify 1.0 into 1.0 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [backup-simplify]: Simplify 1.0 into 1.0 0.448 * [backup-simplify]: Simplify (- 1) into -1 0.448 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.448 * [backup-simplify]: Simplify (+ 1 0) into 1 0.449 * [backup-simplify]: Simplify (/ -1 1) into -1 0.449 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.449 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [backup-simplify]: Simplify 1.0 into 1.0 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [backup-simplify]: Simplify 1.0 into 1.0 0.455 * [backup-simplify]: Simplify (- 1) into -1 0.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.455 * [backup-simplify]: Simplify (+ 1 0) into 1 0.456 * [backup-simplify]: Simplify (/ -1 1) into -1 0.456 * [backup-simplify]: Simplify -1 into -1 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.457 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.459 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.459 * [backup-simplify]: Simplify 2.0 into 2.0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [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) 0.463 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.464 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 x) 2)) (+ (* 2.0 (/ 1 x)) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.464 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.464 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.464 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [backup-simplify]: Simplify 1.0 into 1.0 0.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [backup-simplify]: Simplify 1.0 into 1.0 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [backup-simplify]: Simplify (+ 1 0) into 1 0.465 * [backup-simplify]: Simplify (- 1) into -1 0.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.465 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.466 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [backup-simplify]: Simplify 1.0 into 1.0 0.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [backup-simplify]: Simplify 1.0 into 1.0 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [backup-simplify]: Simplify (+ 1 0) into 1 0.467 * [backup-simplify]: Simplify (- 1) into -1 0.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.467 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.467 * [backup-simplify]: Simplify -1 into -1 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.469 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.470 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.470 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.475 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.475 * [backup-simplify]: Simplify (+ (* (- 2.0) (pow (/ 1 (- x)) 2)) (+ (* (- 2.0) (/ 1 (- x))) -1)) into (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) 0.476 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.476 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 0.476 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.476 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.476 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.476 * [taylor]: Taking taylor expansion of (- 1.0 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 x in x 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [taylor]: Taking taylor expansion of (+ x 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [backup-simplify]: Simplify 1.0 into 1.0 0.476 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.477 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.477 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.477 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.477 * [backup-simplify]: Simplify (- 1) into -1 0.478 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.479 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.481 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.481 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.481 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.481 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [backup-simplify]: Simplify 1.0 into 1.0 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [backup-simplify]: Simplify 1.0 into 1.0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.482 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.482 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.482 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.482 * [backup-simplify]: Simplify (- 1) into -1 0.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.483 * [backup-simplify]: Simplify (+ 1 0) into 1 0.484 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.486 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.486 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.486 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.493 * [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))) 0.497 * [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))) 0.501 * [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))))) 0.502 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 0.502 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.502 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [backup-simplify]: Simplify 1.0 into 1.0 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [backup-simplify]: Simplify 1.0 into 1.0 0.503 * [backup-simplify]: Simplify (- 1) into -1 0.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.503 * [backup-simplify]: Simplify (+ 1 0) into 1 0.503 * [backup-simplify]: Simplify (/ -1 1) into -1 0.504 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.508 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.509 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.509 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.509 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.509 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [backup-simplify]: Simplify 1.0 into 1.0 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [backup-simplify]: Simplify 1.0 into 1.0 0.509 * [backup-simplify]: Simplify (- 1) into -1 0.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.510 * [backup-simplify]: Simplify (+ 1 0) into 1 0.510 * [backup-simplify]: Simplify (/ -1 1) into -1 0.510 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (- 0) into 0 0.511 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.514 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.514 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.515 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.515 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.522 * [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))) 0.526 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.531 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.531 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 0.531 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.531 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.531 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.531 * [backup-simplify]: Simplify 1.0 into 1.0 0.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.531 * [backup-simplify]: Simplify 1.0 into 1.0 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [backup-simplify]: Simplify (/ 1 1) into 1 0.532 * [backup-simplify]: Simplify (+ 1 0) into 1 0.532 * [backup-simplify]: Simplify (- 1) into -1 0.532 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.533 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.533 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (- 0) into 0 0.534 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.536 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.537 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.537 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.537 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [backup-simplify]: Simplify 1.0 into 1.0 0.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [backup-simplify]: Simplify 1.0 into 1.0 0.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (/ 1 1) into 1 0.538 * [backup-simplify]: Simplify (+ 1 0) into 1 0.538 * [backup-simplify]: Simplify (- 1) into -1 0.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.539 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.539 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.545 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.546 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.546 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.547 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.554 * [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))) 0.558 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 0.563 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 0.563 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.563 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.563 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.565 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.565 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.565 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.565 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.565 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.565 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.565 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.566 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.566 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.566 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.566 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.566 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.566 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.566 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.566 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.566 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.567 * [backup-simplify]: Simplify (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.567 * * * [progress]: simplifying candidates 0.569 * [simplify]: Simplifying: (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- (- 1.0 x)) (- (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.569 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- h0 h1) (+ h0 h1))) (log1p (/ (- h0 h1) (+ h0 h1))) (- (log (- h0 h1)) (log (+ h0 h1))) (log (/ (- h0 h1) (+ h0 h1))) (exp (/ (- h0 h1) (+ h0 h1))) (/ (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ (- h0 h1) (+ h0 h1))) (cbrt (/ (- h0 h1) (+ h0 h1)))) (cbrt (/ (- h0 h1) (+ h0 h1))) (* (* (/ (- h0 h1) (+ h0 h1)) (/ (- h0 h1) (+ h0 h1))) (/ (- h0 h1) (+ h0 h1))) (sqrt (/ (- h0 h1) (+ h0 h1))) (sqrt (/ (- h0 h1) (+ h0 h1))) (- (- h0 h1)) (- (+ h0 h1)) (/ h0 (+ h0 h1)) (/ h1 (+ h0 h1)) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt (- h0 h1)) (cbrt (+ h0 h1))) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h0 h1))) (/ (cbrt (- h0 h1)) (sqrt (+ h0 h1))) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1) (/ (cbrt (- h0 h1)) (+ h0 h1)) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1) (/ (cbrt (- h0 h1)) (+ h0 h1)) (/ (sqrt (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt (- h0 h1)) (cbrt (+ h0 h1))) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))) (/ (sqrt (- h0 h1)) 1) (/ (sqrt (- h0 h1)) (+ h0 h1)) (/ (sqrt (- h0 h1)) 1) (/ (sqrt (- h0 h1)) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (- h0 h1) (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ (- h0 h1) (sqrt (+ h0 h1))) (/ 1 1) (/ (- h0 h1) (+ h0 h1)) (/ 1 1) (/ (- h0 h1) (+ h0 h1)) (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h0 h1))) (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1))) (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1))) (/ (+ (sqrt h0) (sqrt h1)) 1) (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1)) (/ (+ (sqrt h0) (sqrt h1)) 1) (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (- h0 h1) (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ (- h0 h1) (sqrt (+ h0 h1))) (/ 1 1) (/ (- h0 h1) (+ h0 h1)) (/ 1 1) (/ (- h0 h1) (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) (- h0 h1)) (/ (- h0 h1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (- h0 h1) (sqrt (+ h0 h1))) (/ (- h0 h1) 1) (/ (- h0 h1) 1) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ (+ h0 h1) (- h0 h1)) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- h0 h1)) (/ (- h0 h1) (+ (pow h0 3) (pow h1 3))) (/ (- h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ h0 h1) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (+ h0 h1) (+ h0 h1)) (expm1 (sqrt (/ (- h0 h1) (+ h0 h1)))) (log1p (sqrt (/ (- h0 h1) (+ h0 h1)))) (log (sqrt (/ (- h0 h1) (+ h0 h1)))) (exp (sqrt (/ (- h0 h1) (+ h0 h1)))) (* (cbrt (sqrt (/ (- h0 h1) (+ h0 h1)))) (cbrt (sqrt (/ (- h0 h1) (+ h0 h1))))) (cbrt (sqrt (/ (- h0 h1) (+ h0 h1)))) (* (* (sqrt (/ (- h0 h1) (+ h0 h1))) (sqrt (/ (- h0 h1) (+ h0 h1)))) (sqrt (/ (- h0 h1) (+ h0 h1)))) (sqrt (* (cbrt (/ (- h0 h1) (+ h0 h1))) (cbrt (/ (- h0 h1) (+ h0 h1))))) (sqrt (cbrt (/ (- h0 h1) (+ h0 h1)))) (sqrt (sqrt (/ (- h0 h1) (+ h0 h1)))) (sqrt (sqrt (/ (- h0 h1) (+ h0 h1)))) (sqrt (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (sqrt (/ (cbrt (- h0 h1)) (cbrt (+ h0 h1)))) (sqrt (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (sqrt (+ h0 h1)))) (sqrt (/ (cbrt (- h0 h1)) (sqrt (+ h0 h1)))) (sqrt (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (sqrt (/ (cbrt (- h0 h1)) (+ h0 h1))) (sqrt (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) 1)) (sqrt (/ (cbrt (- h0 h1)) (+ h0 h1))) (sqrt (/ (sqrt (- h0 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (sqrt (/ (sqrt (- h0 h1)) (cbrt (+ h0 h1)))) (sqrt (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (sqrt (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))) (sqrt (/ (sqrt (- h0 h1)) 1)) (sqrt (/ (sqrt (- h0 h1)) (+ h0 h1))) (sqrt (/ (sqrt (- h0 h1)) 1)) (sqrt (/ (sqrt (- h0 h1)) (+ h0 h1))) (sqrt (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (sqrt (/ (- h0 h1) (cbrt (+ h0 h1)))) (sqrt (/ 1 (sqrt (+ h0 h1)))) (sqrt (/ (- h0 h1) (sqrt (+ h0 h1)))) (sqrt (/ 1 1)) (sqrt (/ (- h0 h1) (+ h0 h1))) (sqrt (/ 1 1)) (sqrt (/ (- h0 h1) (+ h0 h1))) (sqrt (/ (+ (sqrt h0) (sqrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (sqrt (/ (- (sqrt h0) (sqrt h1)) (cbrt (+ h0 h1)))) (sqrt (/ (+ (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (sqrt (/ (- (sqrt h0) (sqrt h1)) (sqrt (+ h0 h1)))) (sqrt (/ (+ (sqrt h0) (sqrt h1)) 1)) (sqrt (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (sqrt (/ (+ (sqrt h0) (sqrt h1)) 1)) (sqrt (/ (- (sqrt h0) (sqrt h1)) (+ h0 h1))) (sqrt (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (sqrt (/ (- h0 h1) (cbrt (+ h0 h1)))) (sqrt (/ 1 (sqrt (+ h0 h1)))) (sqrt (/ (- h0 h1) (sqrt (+ h0 h1)))) (sqrt (/ 1 1)) (sqrt (/ (- h0 h1) (+ h0 h1))) (sqrt (/ 1 1)) (sqrt (/ (- h0 h1) (+ h0 h1))) (sqrt 1) (sqrt (/ (- h0 h1) (+ h0 h1))) (sqrt (- h0 h1)) (sqrt (/ 1 (+ h0 h1))) (sqrt (/ (- h0 h1) (+ (pow h0 3) (pow h1 3)))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (/ (- h0 h1) (- (* h0 h0) (* h1 h1)))) (sqrt (- h0 h1)) (sqrt (- h0 h1)) (sqrt (+ h0 h1)) (/ 1 2) (sqrt (sqrt (/ (- h0 h1) (+ h0 h1)))) (sqrt (sqrt (/ (- h0 h1) (+ h0 h1)))) (expm1 (atan (sqrt (/ (- h0 h1) (+ h0 h1))))) (log1p (atan (sqrt (/ (- h0 h1) (+ h0 h1))))) (log (atan (sqrt (/ (- h0 h1) (+ h0 h1))))) (exp (atan (sqrt (/ (- h0 h1) (+ h0 h1))))) (* (cbrt (atan (sqrt (/ (- h0 h1) (+ h0 h1))))) (cbrt (atan (sqrt (/ (- h0 h1) (+ h0 h1)))))) (cbrt (atan (sqrt (/ (- h0 h1) (+ h0 h1))))) (* (* (atan (sqrt (/ (- h0 h1) (+ h0 h1)))) (atan (sqrt (/ (- h0 h1) (+ h0 h1))))) (atan (sqrt (/ (- h0 h1) (+ h0 h1))))) (sqrt (atan (sqrt (/ (- h0 h1) (+ h0 h1))))) (sqrt (atan (sqrt (/ (- h0 h1) (+ h0 h1))))) (- (+ (* h2 (pow h1 2)) h0) (* h2 h1)) (- (* h2 (/ 1 h1)) (+ 1 (* h2 (/ 1 (pow h1 2))))) (- (* h2 (/ 1 h1)) (+ 1 (* h2 (/ 1 (pow h1 2))))) (- (+ (sqrt h0) (* h0 (/ (pow h1 2) (sqrt h0)))) (+ (* h3 (/ (pow h1 2) (pow (sqrt h0) 3))) (* h0 (/ h1 (sqrt h0))))) (- (+ (* h0 (/ 1 (* h1 (sqrt -1)))) (sqrt -1)) (+ (* h0 (/ 1 (* (pow h1 2) (sqrt -1)))) (* h3 (/ 1 (* (pow h1 2) (pow (sqrt -1) 3)))))) (- (+ (* h0 (/ 1 (* h1 (sqrt -1)))) (sqrt -1)) (+ (* h0 (/ 1 (* (pow h1 2) (sqrt -1)))) (* h3 (/ 1 (* (pow h1 2) (pow (sqrt -1) 3)))))) (atan (sqrt (/ (- h0 h1) (+ h1 h0)))) (atan (sqrt (/ (- h0 h1) (+ h1 h0)))) (atan (sqrt (/ (- h0 h1) (+ h1 h0)))) 0.575 * * [simplify]: iteration 0 : 370 enodes (cost 779 ) 0.581 * * [simplify]: iteration 1 : 1128 enodes (cost 734 ) 0.603 * * [simplify]: iteration 2 : 5001 enodes (cost 719 ) 0.607 * * * [progress]: adding candidates to table 0.835 * * [progress]: iteration 2 / 4 0.835 * * * [progress]: picking best candidate 0.837 * * * * [pick]: Picked # 0.837 * * * [progress]: localizing error 0.849 * * * [progress]: generating rewritten candidates 0.849 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.016 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 1.039 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.063 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.156 * * * [progress]: generating series expansions 1.156 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.157 * [backup-simplify]: Simplify (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 1.157 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.157 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.157 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.157 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [backup-simplify]: Simplify 1.0 into 1.0 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify 1 into 1 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [backup-simplify]: Simplify 1.0 into 1.0 1.157 * [backup-simplify]: Simplify (- 0) into 0 1.158 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.158 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.158 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.159 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.159 * [backup-simplify]: Simplify (- 1) into -1 1.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.159 * [backup-simplify]: Simplify (+ 1 0) into 1 1.161 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.162 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.162 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.162 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.162 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.162 * [taylor]: Taking taylor expansion of 1.0 in x 1.162 * [backup-simplify]: Simplify 1.0 into 1.0 1.162 * [taylor]: Taking taylor expansion of x in x 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.162 * [taylor]: Taking taylor expansion of x in x 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [taylor]: Taking taylor expansion of 1.0 in x 1.162 * [backup-simplify]: Simplify 1.0 into 1.0 1.162 * [backup-simplify]: Simplify (- 0) into 0 1.163 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.163 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.163 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.163 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.164 * [backup-simplify]: Simplify (- 1) into -1 1.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.164 * [backup-simplify]: Simplify (+ 1 0) into 1 1.166 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.167 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.167 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.168 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 1.168 * [backup-simplify]: Simplify (- 0) into 0 1.168 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [backup-simplify]: Simplify (+ 0 0) into 0 1.171 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 1.174 * [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))) 1.178 * [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))) 1.182 * [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))))) 1.183 * [backup-simplify]: Simplify (* (sqrt (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x))))) (sqrt (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x)))))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 1.183 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.183 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.183 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [backup-simplify]: Simplify 1.0 into 1.0 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [backup-simplify]: Simplify (/ 1 1) into 1 1.183 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.183 * [backup-simplify]: Simplify (/ 1 1) into 1 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [backup-simplify]: Simplify 1.0 into 1.0 1.184 * [backup-simplify]: Simplify (- 1) into -1 1.184 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.184 * [backup-simplify]: Simplify (+ 1 0) into 1 1.184 * [backup-simplify]: Simplify (/ -1 1) into -1 1.185 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (- 0) into 0 1.186 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.188 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.189 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.189 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.189 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [backup-simplify]: Simplify 1.0 into 1.0 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (/ 1 1) into 1 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (/ 1 1) into 1 1.190 * [taylor]: Taking taylor expansion of 1.0 in x 1.190 * [backup-simplify]: Simplify 1.0 into 1.0 1.190 * [backup-simplify]: Simplify (- 1) into -1 1.190 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.190 * [backup-simplify]: Simplify (+ 1 0) into 1 1.190 * [backup-simplify]: Simplify (/ -1 1) into -1 1.191 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.191 * [backup-simplify]: Simplify (- 0) into 0 1.192 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.192 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.194 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.195 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.195 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.195 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 1.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.196 * [backup-simplify]: Simplify (- 0) into 0 1.196 * [backup-simplify]: Simplify (+ 0 0) into 0 1.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.197 * [backup-simplify]: Simplify (+ 0 0) into 0 1.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 1.203 * [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))) 1.206 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 1.216 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 1.217 * [backup-simplify]: Simplify (* (sqrt (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x)))))) (sqrt (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x))))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 1.217 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.217 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.217 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [backup-simplify]: Simplify (/ 1 1) into 1 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.217 * [backup-simplify]: Simplify 1.0 into 1.0 1.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.218 * [backup-simplify]: Simplify 1.0 into 1.0 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (/ 1 1) into 1 1.218 * [backup-simplify]: Simplify (+ 1 0) into 1 1.218 * [backup-simplify]: Simplify (- 1) into -1 1.219 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.219 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.219 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.220 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.220 * [backup-simplify]: Simplify (- 0) into 0 1.221 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.222 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.223 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.223 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.223 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.223 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (/ 1 1) into 1 1.223 * [taylor]: Taking taylor expansion of 1.0 in x 1.223 * [backup-simplify]: Simplify 1.0 into 1.0 1.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.223 * [taylor]: Taking taylor expansion of 1.0 in x 1.223 * [backup-simplify]: Simplify 1.0 into 1.0 1.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 1 into 1 1.224 * [backup-simplify]: Simplify (/ 1 1) into 1 1.224 * [backup-simplify]: Simplify (+ 1 0) into 1 1.224 * [backup-simplify]: Simplify (- 1) into -1 1.224 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.225 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.225 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.226 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.226 * [backup-simplify]: Simplify (- 0) into 0 1.226 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.228 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.229 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.229 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.230 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 1.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.231 * [backup-simplify]: Simplify (+ 0 0) into 0 1.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.231 * [backup-simplify]: Simplify (- 0) into 0 1.231 * [backup-simplify]: Simplify (+ 0 0) into 0 1.234 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 1.237 * [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))) 1.241 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 1.246 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 1.246 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 1.246 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 1.246 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.246 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.246 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.246 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.246 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [backup-simplify]: Simplify 1.0 into 1.0 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [backup-simplify]: Simplify 1.0 into 1.0 1.246 * [backup-simplify]: Simplify (- 0) into 0 1.247 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.247 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.247 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.247 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.247 * [backup-simplify]: Simplify (- 1) into -1 1.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.248 * [backup-simplify]: Simplify (+ 1 0) into 1 1.249 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.251 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.251 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.251 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.251 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [backup-simplify]: Simplify 1.0 into 1.0 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 1 into 1 1.251 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 1 into 1 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [backup-simplify]: Simplify 1.0 into 1.0 1.251 * [backup-simplify]: Simplify (- 0) into 0 1.251 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.252 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.252 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.252 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.252 * [backup-simplify]: Simplify (- 1) into -1 1.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.253 * [backup-simplify]: Simplify (+ 1 0) into 1 1.254 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.255 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.256 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.256 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 1.256 * [backup-simplify]: Simplify (- 0) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.259 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 1.262 * [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))) 1.266 * [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))) 1.271 * [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))))) 1.271 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 1.271 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.271 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.271 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.271 * [taylor]: Taking taylor expansion of 1.0 in x 1.271 * [backup-simplify]: Simplify 1.0 into 1.0 1.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 1 into 1 1.271 * [backup-simplify]: Simplify (/ 1 1) into 1 1.271 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 1 into 1 1.272 * [backup-simplify]: Simplify (/ 1 1) into 1 1.272 * [taylor]: Taking taylor expansion of 1.0 in x 1.272 * [backup-simplify]: Simplify 1.0 into 1.0 1.272 * [backup-simplify]: Simplify (- 1) into -1 1.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.272 * [backup-simplify]: Simplify (+ 1 0) into 1 1.273 * [backup-simplify]: Simplify (/ -1 1) into -1 1.273 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.274 * [backup-simplify]: Simplify (- 0) into 0 1.274 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.274 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.276 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.277 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.277 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.277 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.277 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [backup-simplify]: Simplify 1.0 into 1.0 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (/ 1 1) into 1 1.277 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.278 * [backup-simplify]: Simplify (/ 1 1) into 1 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.278 * [backup-simplify]: Simplify 1.0 into 1.0 1.278 * [backup-simplify]: Simplify (- 1) into -1 1.278 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.278 * [backup-simplify]: Simplify (+ 1 0) into 1 1.278 * [backup-simplify]: Simplify (/ -1 1) into -1 1.279 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.280 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.280 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.282 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.283 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.283 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.283 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 1.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.284 * [backup-simplify]: Simplify (- 0) into 0 1.284 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 1.290 * [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))) 1.294 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 1.302 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 1.302 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 1.302 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.302 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.302 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.302 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (/ 1 1) into 1 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [backup-simplify]: Simplify 1.0 into 1.0 1.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.303 * [backup-simplify]: Simplify 1.0 into 1.0 1.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (/ 1 1) into 1 1.303 * [backup-simplify]: Simplify (+ 1 0) into 1 1.303 * [backup-simplify]: Simplify (- 1) into -1 1.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.304 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.304 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.305 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.305 * [backup-simplify]: Simplify (- 0) into 0 1.306 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.307 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.308 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.308 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.308 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (/ 1 1) into 1 1.308 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * [backup-simplify]: Simplify 1.0 into 1.0 1.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * [backup-simplify]: Simplify 1.0 into 1.0 1.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.309 * [backup-simplify]: Simplify (+ 1 0) into 1 1.309 * [backup-simplify]: Simplify (- 1) into -1 1.310 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.310 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.310 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.311 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.311 * [backup-simplify]: Simplify (- 0) into 0 1.312 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.313 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.314 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.314 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.315 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 1.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify (- 0) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 1.322 * [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))) 1.326 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 1.331 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 1.331 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.331 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 1.331 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.331 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.331 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.331 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [backup-simplify]: Simplify 1.0 into 1.0 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [backup-simplify]: Simplify 1.0 into 1.0 1.332 * [backup-simplify]: Simplify (- 0) into 0 1.332 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.332 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.332 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.333 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.333 * [backup-simplify]: Simplify (- 1) into -1 1.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.333 * [backup-simplify]: Simplify (+ 1 0) into 1 1.335 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.336 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.336 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.336 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.336 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [backup-simplify]: Simplify 1.0 into 1.0 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [backup-simplify]: Simplify 1.0 into 1.0 1.336 * [backup-simplify]: Simplify (- 0) into 0 1.337 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.337 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.337 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.337 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.338 * [backup-simplify]: Simplify (- 1) into -1 1.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.338 * [backup-simplify]: Simplify (+ 1 0) into 1 1.340 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.341 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.341 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.341 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 1.342 * [backup-simplify]: Simplify (- 0) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.345 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 1.348 * [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))) 1.351 * [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))) 1.356 * [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))))) 1.356 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 1.356 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.356 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.356 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.356 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.356 * [backup-simplify]: Simplify 1.0 into 1.0 1.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.356 * [backup-simplify]: Simplify (/ 1 1) into 1 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (/ 1 1) into 1 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [backup-simplify]: Simplify 1.0 into 1.0 1.357 * [backup-simplify]: Simplify (- 1) into -1 1.357 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.357 * [backup-simplify]: Simplify (+ 1 0) into 1 1.358 * [backup-simplify]: Simplify (/ -1 1) into -1 1.358 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.360 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.361 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.362 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.362 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.362 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.362 * [taylor]: Taking taylor expansion of 1.0 in x 1.362 * [backup-simplify]: Simplify 1.0 into 1.0 1.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [backup-simplify]: Simplify (/ 1 1) into 1 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.362 * [taylor]: Taking taylor expansion of x in x 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.363 * [backup-simplify]: Simplify (/ 1 1) into 1 1.363 * [taylor]: Taking taylor expansion of 1.0 in x 1.363 * [backup-simplify]: Simplify 1.0 into 1.0 1.363 * [backup-simplify]: Simplify (- 1) into -1 1.363 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.363 * [backup-simplify]: Simplify (+ 1 0) into 1 1.364 * [backup-simplify]: Simplify (/ -1 1) into -1 1.364 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.365 * [backup-simplify]: Simplify (- 0) into 0 1.365 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.365 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.367 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.368 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.368 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.369 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 1.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.370 * [backup-simplify]: Simplify (- 0) into 0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 1.376 * [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))) 1.380 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 1.387 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1.0 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 1.388 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 1.388 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.388 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.388 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (/ 1 1) into 1 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [backup-simplify]: Simplify 1.0 into 1.0 1.388 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [backup-simplify]: Simplify 1.0 into 1.0 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (/ 1 1) into 1 1.389 * [backup-simplify]: Simplify (+ 1 0) into 1 1.389 * [backup-simplify]: Simplify (- 1) into -1 1.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.389 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.389 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.391 * [backup-simplify]: Simplify (- 0) into 0 1.391 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.392 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.393 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.393 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.394 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.394 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [backup-simplify]: Simplify 1.0 into 1.0 1.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [backup-simplify]: Simplify 1.0 into 1.0 1.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.394 * [backup-simplify]: Simplify (+ 1 0) into 1 1.395 * [backup-simplify]: Simplify (- 1) into -1 1.395 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.395 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.395 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (- 0) into 0 1.397 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.398 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.399 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.400 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.400 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (- 0) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 1.408 * [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))) 1.411 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) into (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) 1.416 * [backup-simplify]: Simplify (+ (* (* -1/2 (/ (+ (* 1.0 (/ 1 (pow (sqrt -1) 2))) 2.0) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1.0 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) 1.416 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.416 * [backup-simplify]: Simplify (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) into (pow (/ (- 1.0 x) (+ x 1.0)) 1/4) 1.416 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 x) (+ x 1.0)) 1/4) in (x) around 0 1.416 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 x) (+ x 1.0)) 1/4) in x 1.417 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (- 1.0 x) (+ x 1.0))))) in x 1.417 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (- 1.0 x) (+ x 1.0)))) in x 1.417 * [taylor]: Taking taylor expansion of 1/4 in x 1.417 * [backup-simplify]: Simplify 1/4 into 1/4 1.417 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 x) (+ x 1.0))) in x 1.417 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.417 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.417 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [backup-simplify]: Simplify 1.0 into 1.0 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [backup-simplify]: Simplify 1.0 into 1.0 1.417 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.418 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.418 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.418 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.419 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 1.420 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 1.420 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 x) (+ x 1.0)) 1/4) in x 1.420 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (- 1.0 x) (+ x 1.0))))) in x 1.420 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (- 1.0 x) (+ x 1.0)))) in x 1.420 * [taylor]: Taking taylor expansion of 1/4 in x 1.420 * [backup-simplify]: Simplify 1/4 into 1/4 1.420 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 x) (+ x 1.0))) in x 1.420 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.420 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [backup-simplify]: Simplify 1.0 into 1.0 1.420 * [taylor]: Taking taylor expansion of x in x 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [backup-simplify]: Simplify 1.0 into 1.0 1.420 * [backup-simplify]: Simplify (- 0) into 0 1.421 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.421 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.421 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.421 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.422 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 1.423 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 1.423 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4) 1.424 * [backup-simplify]: Simplify (- 1) into -1 1.424 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.425 * [backup-simplify]: Simplify (+ 1 0) into 1 1.426 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.431 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow 1.0 1)))) 1) into -2.0 1.432 * [backup-simplify]: Simplify (+ (* 1/4 -2.0) (* 0 (log 1.0))) into (- 0.5) 1.435 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (* -0.5 (pow 1.0 1/4)) 1.436 * [backup-simplify]: Simplify (* -0.5 (pow 1.0 1/4)) into (* -0.5 (pow 1.0 1/4)) 1.437 * [backup-simplify]: Simplify (- 0) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 1.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 2.0) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 4.0 (* 4.0 (/ 1 (pow 1.0 2))))) 1.453 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/2 (- 4.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 -2.0) (* 0 (log 1.0)))) into (- 0.5 (* 0.5 (/ 1 (pow 1.0 2)))) 1.461 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow (- 0.5 (* 0.5 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.625 (* 0.5 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 1.464 * [backup-simplify]: Simplify (* (- 0.625 (* 0.5 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) into (* (- 0.625 (* 0.5 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 1.468 * [backup-simplify]: Simplify (+ (* (* (- 0.625 (* 0.5 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) (pow x 2)) (+ (* (* -0.5 (pow 1.0 1/4)) x) (pow 1.0 1/4))) into (- (+ (* 0.625 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4)) (+ (* 0.5 (* x (pow 1.0 1/4))) (* 0.5 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4))))) 1.468 * [backup-simplify]: Simplify (sqrt (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x))))) into (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 1/4) 1.468 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 1/4) in (x) around 0 1.468 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 1/4) in x 1.468 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.468 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.468 * [taylor]: Taking taylor expansion of 1/4 in x 1.468 * [backup-simplify]: Simplify 1/4 into 1/4 1.468 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.468 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.469 * [taylor]: Taking taylor expansion of 1.0 in x 1.469 * [backup-simplify]: Simplify 1.0 into 1.0 1.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (/ 1 1) into 1 1.469 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (/ 1 1) into 1 1.469 * [taylor]: Taking taylor expansion of 1.0 in x 1.469 * [backup-simplify]: Simplify 1.0 into 1.0 1.469 * [backup-simplify]: Simplify (- 1) into -1 1.470 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.470 * [backup-simplify]: Simplify (+ 1 0) into 1 1.473 * [backup-simplify]: Simplify (/ -1 1) into -1 1.473 * [backup-simplify]: Simplify (log -1) into (log -1) 1.474 * [backup-simplify]: Simplify (* 1/4 (log -1)) into (* 1/4 (log -1)) 1.475 * [backup-simplify]: Simplify (exp (* 1/4 (log -1))) into (pow -1 1/4) 1.475 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 1/4) in x 1.475 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))))) in x 1.475 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.475 * [taylor]: Taking taylor expansion of 1/4 in x 1.475 * [backup-simplify]: Simplify 1/4 into 1/4 1.475 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.475 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.475 * [taylor]: Taking taylor expansion of 1.0 in x 1.475 * [backup-simplify]: Simplify 1.0 into 1.0 1.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (/ 1 1) into 1 1.475 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.476 * [backup-simplify]: Simplify (/ 1 1) into 1 1.476 * [taylor]: Taking taylor expansion of 1.0 in x 1.476 * [backup-simplify]: Simplify 1.0 into 1.0 1.476 * [backup-simplify]: Simplify (- 1) into -1 1.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.476 * [backup-simplify]: Simplify (+ 1 0) into 1 1.477 * [backup-simplify]: Simplify (/ -1 1) into -1 1.477 * [backup-simplify]: Simplify (log -1) into (log -1) 1.477 * [backup-simplify]: Simplify (* 1/4 (log -1)) into (* 1/4 (log -1)) 1.478 * [backup-simplify]: Simplify (exp (* 1/4 (log -1))) into (pow -1 1/4) 1.479 * [backup-simplify]: Simplify (pow -1 1/4) into (pow -1 1/4) 1.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (- 0) into 0 1.480 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.482 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow -1 1)))) 1) into -2.0 1.487 * [backup-simplify]: Simplify (+ (* 1/4 -2.0) (* 0 (log -1))) into (- 0.5) 1.490 * [backup-simplify]: Simplify (* (exp (* 1/4 (log -1))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (* -0.5 (pow -1 1/4)) 1.491 * [backup-simplify]: Simplify (* -0.5 (pow -1 1/4)) into (* -0.5 (pow -1 1/4)) 1.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (- 0) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 1.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2.0)) 1)) (pow -1 1)))) 2) into 0 1.503 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 -2.0) (* 0 (log -1)))) into 0 1.508 * [backup-simplify]: Simplify (* (exp (* 1/4 (log -1))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (pow -1 1/4)) 1.508 * [backup-simplify]: Simplify (* 0.125 (pow -1 1/4)) into (* 0.125 (pow -1 1/4)) 1.510 * [backup-simplify]: Simplify (+ (* (* 0.125 (pow -1 1/4)) (pow (/ 1 x) 2)) (+ (* (* -0.5 (pow -1 1/4)) (/ 1 x)) (pow -1 1/4))) into (- (+ (pow -1 1/4) (* 0.125 (* (pow -1 1/4) (/ 1 (pow x 2))))) (* 0.5 (* (pow -1 1/4) (/ 1 x)))) 1.510 * [backup-simplify]: Simplify (sqrt (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x)))))) into (pow (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 1/4) 1.510 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 1/4) in (x) around 0 1.510 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 1/4) in x 1.511 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.511 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.511 * [taylor]: Taking taylor expansion of 1/4 in x 1.511 * [backup-simplify]: Simplify 1/4 into 1/4 1.511 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.511 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [backup-simplify]: Simplify (/ 1 1) into 1 1.511 * [taylor]: Taking taylor expansion of 1.0 in x 1.511 * [backup-simplify]: Simplify 1.0 into 1.0 1.511 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.511 * [taylor]: Taking taylor expansion of 1.0 in x 1.511 * [backup-simplify]: Simplify 1.0 into 1.0 1.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [backup-simplify]: Simplify (/ 1 1) into 1 1.512 * [backup-simplify]: Simplify (+ 1 0) into 1 1.512 * [backup-simplify]: Simplify (- 1) into -1 1.512 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.512 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.512 * [backup-simplify]: Simplify (log -1) into (log -1) 1.513 * [backup-simplify]: Simplify (* 1/4 (log -1)) into (* 1/4 (log -1)) 1.514 * [backup-simplify]: Simplify (exp (* 1/4 (log -1))) into (pow -1 1/4) 1.514 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 1/4) in x 1.514 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))))) in x 1.514 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.514 * [taylor]: Taking taylor expansion of 1/4 in x 1.514 * [backup-simplify]: Simplify 1/4 into 1/4 1.514 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.514 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (/ 1 1) into 1 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [backup-simplify]: Simplify 1.0 into 1.0 1.514 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [backup-simplify]: Simplify 1.0 into 1.0 1.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [backup-simplify]: Simplify (+ 1 0) into 1 1.515 * [backup-simplify]: Simplify (- 1) into -1 1.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.516 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.516 * [backup-simplify]: Simplify (log -1) into (log -1) 1.516 * [backup-simplify]: Simplify (* 1/4 (log -1)) into (* 1/4 (log -1)) 1.517 * [backup-simplify]: Simplify (exp (* 1/4 (log -1))) into (pow -1 1/4) 1.518 * [backup-simplify]: Simplify (pow -1 1/4) into (pow -1 1/4) 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.519 * [backup-simplify]: Simplify (- 0) into 0 1.519 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.521 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow -1 1)))) 1) into 2.0 1.526 * [backup-simplify]: Simplify (+ (* 1/4 2.0) (* 0 (log -1))) into 0.5 1.529 * [backup-simplify]: Simplify (* (exp (* 1/4 (log -1))) (+ (* (/ (pow 0.5 1) 1)))) into (* 0.5 (pow -1 1/4)) 1.530 * [backup-simplify]: Simplify (* 0.5 (pow -1 1/4)) into (* 0.5 (pow -1 1/4)) 1.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (+ 0 0) into 0 1.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (- 0) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.534 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 1.543 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2.0)) 1)) (pow -1 1)))) 2) into 0 1.543 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 2.0) (* 0 (log -1)))) into 0 1.547 * [backup-simplify]: Simplify (* (exp (* 1/4 (log -1))) (+ (* (/ (pow 0.5 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (pow -1 1/4)) 1.548 * [backup-simplify]: Simplify (* 0.125 (pow -1 1/4)) into (* 0.125 (pow -1 1/4)) 1.550 * [backup-simplify]: Simplify (+ (* (* 0.125 (pow -1 1/4)) (pow (/ 1 (- x)) 2)) (+ (* (* 0.5 (pow -1 1/4)) (/ 1 (- x))) (pow -1 1/4))) into (- (+ (pow -1 1/4) (* 0.125 (* (pow -1 1/4) (/ 1 (pow x 2))))) (* 0.5 (* (pow -1 1/4) (/ 1 x)))) 1.550 * * * [progress]: simplifying candidates 1.567 * [simplify]: Simplifying: (expm1 (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (log1p (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (+ 1 1) (+ (log (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (log (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (exp (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (* (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (cbrt (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) (cbrt (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (* (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (sqrt (* (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (* (cbrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (cbrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) (* (cbrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (sqrt (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (sqrt (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) (* (sqrt (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (sqrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (sqrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (sqrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (sqrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))))) (* (sqrt (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (* (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))))) (* (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))))) (* (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))))) (* (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))))) (* (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))))) (* (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))))) (* (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1))) (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)))) (* (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))))) (* (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1))) (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)))) (* (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))))) (* (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1))) (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)))) (* (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))))) (* (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1))) (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)))) (* (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))))) (* (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))))) (* (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))))) (* (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))))) (* (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))))) (* (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 1)) (sqrt (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 1))) (* (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))))) (* (sqrt (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (sqrt (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))))) (* (sqrt (/ (sqrt (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (sqrt (/ (sqrt (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (* (sqrt (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (sqrt (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))))) (* (sqrt (/ (sqrt (cbrt (- 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h1 2) (pow (sqrt h0) 3))) (* h0 (/ h1 (sqrt h0))))) (- (+ (* h0 (/ 1 (* h1 (sqrt -1)))) (sqrt -1)) (+ (* h0 (/ 1 (* (pow h1 2) (sqrt -1)))) (* h2 (/ 1 (* (pow h1 2) (pow (sqrt -1) 3)))))) (- (+ (* h0 (/ 1 (* h1 (sqrt -1)))) (sqrt -1)) (+ (* h0 (/ 1 (* (pow h1 2) (sqrt -1)))) (* h2 (/ 1 (* (pow h1 2) (pow (sqrt -1) 3)))))) (- (+ (sqrt h0) (* h0 (/ (pow h1 2) (sqrt h0)))) (+ (* h2 (/ (pow h1 2) (pow (sqrt h0) 3))) (* h0 (/ h1 (sqrt h0))))) (- (+ (* h0 (/ 1 (* h1 (sqrt -1)))) (sqrt -1)) (+ (* h0 (/ 1 (* (pow h1 2) (sqrt -1)))) (* h2 (/ 1 (* (pow h1 2) (pow (sqrt -1) 3)))))) (- (+ (* h0 (/ 1 (* h1 (sqrt -1)))) (sqrt -1)) (+ (* h0 (/ 1 (* (pow h1 2) (sqrt -1)))) (* h2 (/ 1 (* (pow h1 2) (pow (sqrt -1) 3)))))) (- (+ (sqrt h0) (* h0 (/ (pow h1 2) (sqrt h0)))) (+ (* h2 (/ (pow h1 2) (pow (sqrt h0) 3))) (* h0 (/ h1 (sqrt h0))))) (- (+ (* h0 (/ 1 (* h1 (sqrt -1)))) (sqrt -1)) (+ (* h0 (/ 1 (* (pow h1 2) (sqrt -1)))) (* h2 (/ 1 (* (pow h1 2) (pow (sqrt -1) 3)))))) (- (+ (* h0 (/ 1 (* h1 (sqrt -1)))) (sqrt -1)) (+ (* h0 (/ 1 (* (pow h1 2) (sqrt -1)))) (* h2 (/ 1 (* (pow h1 2) (pow (sqrt -1) 3)))))) (- (+ (* h3 (* (pow h1 2) (pow h0 1/4))) (pow h0 1/4)) (+ (* h2 (* h1 (pow h0 1/4))) (* h2 (* (pow h1 2) (pow (/ 1 (pow h0 7)) 1/4))))) (- (+ (pow -1 1/4) (* h4 (* (pow -1 1/4) (/ 1 (pow h1 2))))) (* h2 (* (pow -1 1/4) (/ 1 h1)))) (- (+ (pow -1 1/4) (* h4 (* (pow -1 1/4) (/ 1 (pow h1 2))))) (* h2 (* (pow -1 1/4) (/ 1 h1)))) 1.593 * * [simplify]: iteration 0 : 658 enodes (cost 7541 ) 1.606 * * [simplify]: iteration 1 : 3022 enodes (cost 7017 ) 1.659 * * [simplify]: iteration 2 : 5001 enodes (cost 6937 ) 1.690 * * * [progress]: adding candidates to table 2.707 * [progress]: [Phase 3 of 3] Extracting. 2.707 * * [regime]: Finding splitpoints for: (# #) 2.708 * * * [regime-changes]: Trying 5 branch expressions: ((/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) x) 2.708 * * * * [regimes]: Trying to branch on (/ (- 1.0 x) (+ 1.0 x)) from (# #) 2.719 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1.0 x) (+ 1.0 x))) from (# #) 2.730 * * * * [regimes]: Trying to branch on (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) from (# #) 2.748 * * * * [regimes]: Trying to branch on (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) from (# #) 2.762 * * * * [regimes]: Trying to branch on x from (# #) 2.773 * * * [regime]: Found split indices: #