0.728 * [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 0.378 * * * [progress]: generating rewritten candidates 0.379 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.406 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.423 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.428 * * * [progress]: generating series expansions 0.429 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.435 * [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 0.436 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [backup-simplify]: Simplify 1.0 into 1.0 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 (+ 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 0.438 * [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 0.439 * [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 0.443 * [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 0.447 * [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 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [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 0.449 * [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 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [backup-simplify]: Simplify 1.0 into 1.0 0.450 * [backup-simplify]: Simplify (- 1) into -1 0.450 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.456 * [backup-simplify]: Simplify (+ 1 0) into 1 0.457 * [backup-simplify]: Simplify (/ -1 1) into -1 0.457 * [backup-simplify]: Simplify -1 into -1 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.460 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.460 * [backup-simplify]: Simplify 2.0 into 2.0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.464 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.465 * [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))))) 0.465 * [backup-simplify]: Simplify (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 0.465 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.465 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.465 * [backup-simplify]: Simplify 1.0 into 1.0 0.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.465 * [backup-simplify]: Simplify 1.0 into 1.0 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [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 0.466 * [backup-simplify]: Simplify (- 1) into -1 0.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.467 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.467 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [backup-simplify]: Simplify 1.0 into 1.0 0.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [backup-simplify]: Simplify 1.0 into 1.0 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [backup-simplify]: Simplify (+ 1 0) into 1 0.468 * [backup-simplify]: Simplify (- 1) into -1 0.468 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.468 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.468 * [backup-simplify]: Simplify -1 into -1 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.472 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.472 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.476 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.477 * [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))))) 0.477 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.477 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 x) (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 0.477 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.477 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.477 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.477 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [backup-simplify]: Simplify 1.0 into 1.0 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [backup-simplify]: Simplify 1.0 into 1.0 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.478 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.478 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.479 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.479 * [backup-simplify]: Simplify (- 1) into -1 0.479 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.479 * [backup-simplify]: Simplify (+ 1 0) into 1 0.481 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.482 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.482 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.482 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.482 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [backup-simplify]: Simplify 1.0 into 1.0 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [backup-simplify]: Simplify 1.0 into 1.0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.483 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.483 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.484 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.484 * [backup-simplify]: Simplify (- 1) into -1 0.484 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.484 * [backup-simplify]: Simplify (+ 1 0) into 1 0.486 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 0.487 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 0.487 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.488 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 0.495 * [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))) 0.498 * [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))) 0.503 * [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))))) 0.503 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 0.503 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.503 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.503 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.503 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [backup-simplify]: Simplify 1.0 into 1.0 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [backup-simplify]: Simplify 1.0 into 1.0 0.504 * [backup-simplify]: Simplify (- 1) into -1 0.504 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.505 * [backup-simplify]: Simplify (+ 1 0) into 1 0.505 * [backup-simplify]: Simplify (/ -1 1) into -1 0.505 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- 0) into 0 0.506 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.507 * [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 0.510 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [backup-simplify]: Simplify 1.0 into 1.0 0.510 * [backup-simplify]: Simplify (- 1) into -1 0.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.511 * [backup-simplify]: Simplify (+ 1 0) into 1 0.511 * [backup-simplify]: Simplify (/ -1 1) into -1 0.511 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (- 0) into 0 0.512 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.514 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 0.515 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 0.515 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.516 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- 0) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 0.524 * [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))) 0.528 * [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))) 0.533 * [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)))))) 0.533 * [backup-simplify]: Simplify (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 0.533 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.533 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.533 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (/ 1 1) into 1 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [backup-simplify]: Simplify 1.0 into 1.0 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [backup-simplify]: Simplify 1.0 into 1.0 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (/ 1 1) into 1 0.534 * [backup-simplify]: Simplify (+ 1 0) into 1 0.534 * [backup-simplify]: Simplify (- 1) into -1 0.534 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.535 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.535 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (- 0) into 0 0.536 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.538 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.539 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.539 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.539 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [taylor]: Taking taylor expansion of 1.0 in x 0.539 * [backup-simplify]: Simplify 1.0 into 1.0 0.539 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.539 * [taylor]: Taking taylor expansion of 1.0 in x 0.539 * [backup-simplify]: Simplify 1.0 into 1.0 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [backup-simplify]: Simplify (+ 1 0) into 1 0.540 * [backup-simplify]: Simplify (- 1) into -1 0.540 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.540 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.541 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (- 0) into 0 0.542 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.546 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 0.548 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 0.548 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.548 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- 0) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 0.556 * [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))) 0.560 * [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))) 0.565 * [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)))))) 0.565 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.565 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.565 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.565 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.567 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.567 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.567 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.567 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 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 0 into 0 0.567 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.567 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.567 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.567 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.567 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.567 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.568 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 0.568 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.568 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (- x))) (+ 1.0 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.568 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.568 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.568 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.568 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.568 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 0.569 * [backup-simplify]: Simplify (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.569 * * * [progress]: simplifying candidates 0.571 * [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)))) 0.571 * [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)))) 0.576 * * [simplify]: iteration 0 : 370 enodes (cost 779 ) 0.582 * * [simplify]: iteration 1 : 1128 enodes (cost 734 ) 0.603 * * [simplify]: iteration 2 : 5001 enodes (cost 719 ) 0.607 * * * [progress]: adding candidates to table 0.840 * * [progress]: iteration 2 / 4 0.840 * * * [progress]: picking best candidate 0.842 * * * * [pick]: Picked # 0.842 * * * [progress]: localizing error 0.853 * * * [progress]: generating rewritten candidates 0.853 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.995 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.018 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.041 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.084 * * * [progress]: generating series expansions 1.084 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.084 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) into (/ (- 1.0 x) (+ x 1.0)) 1.084 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 1.084 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.084 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.084 * [taylor]: Taking taylor expansion of 1.0 in x 1.084 * [backup-simplify]: Simplify 1.0 into 1.0 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [taylor]: Taking taylor expansion of 1.0 in x 1.084 * [backup-simplify]: Simplify 1.0 into 1.0 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.085 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.085 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.086 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.086 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.086 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.086 * [taylor]: Taking taylor expansion of 1.0 in x 1.086 * [backup-simplify]: Simplify 1.0 into 1.0 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [taylor]: Taking taylor expansion of 1.0 in x 1.086 * [backup-simplify]: Simplify 1.0 into 1.0 1.086 * [backup-simplify]: Simplify (- 0) into 0 1.086 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.087 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.087 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.087 * [backup-simplify]: Simplify 1.0 into 1.0 1.087 * [backup-simplify]: Simplify (- 1) into -1 1.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.088 * [backup-simplify]: Simplify (+ 1 0) into 1 1.089 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.089 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.090 * [backup-simplify]: Simplify (- 0) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 1.093 * [backup-simplify]: Simplify 2.0 into 2.0 1.093 * [backup-simplify]: Simplify (+ (* 2.0 (pow x 2)) (+ (* (- 2.0) x) 1.0)) into (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) 1.093 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x)))) (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x))))) into (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 1.093 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 1.093 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.093 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [backup-simplify]: Simplify 1.0 into 1.0 1.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (/ 1 1) into 1 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (/ 1 1) into 1 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [backup-simplify]: Simplify 1.0 into 1.0 1.094 * [backup-simplify]: Simplify (- 1) into -1 1.095 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.095 * [backup-simplify]: Simplify (+ 1 0) into 1 1.095 * [backup-simplify]: Simplify (/ -1 1) into -1 1.095 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.095 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.095 * [taylor]: Taking taylor expansion of 1.0 in x 1.095 * [backup-simplify]: Simplify 1.0 into 1.0 1.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (/ 1 1) into 1 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (/ 1 1) into 1 1.096 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * [backup-simplify]: Simplify 1.0 into 1.0 1.096 * [backup-simplify]: Simplify (- 1) into -1 1.096 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.096 * [backup-simplify]: Simplify (+ 1 0) into 1 1.097 * [backup-simplify]: Simplify (/ -1 1) into -1 1.097 * [backup-simplify]: Simplify -1 into -1 1.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.097 * [backup-simplify]: Simplify (- 0) into 0 1.098 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.100 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.100 * [backup-simplify]: Simplify 2.0 into 2.0 1.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (- 0) into 0 1.101 * [backup-simplify]: Simplify (+ 0 0) into 0 1.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.102 * [backup-simplify]: Simplify (+ 0 0) into 0 1.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 1.104 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.105 * [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))))) 1.105 * [backup-simplify]: Simplify (* (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x))))) (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x)))))) into (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 1.105 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 1.105 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [taylor]: Taking taylor expansion of 1.0 in x 1.105 * [backup-simplify]: Simplify 1.0 into 1.0 1.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.105 * [taylor]: Taking taylor expansion of 1.0 in x 1.105 * [backup-simplify]: Simplify 1.0 into 1.0 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.106 * [backup-simplify]: Simplify (/ 1 1) into 1 1.106 * [backup-simplify]: Simplify (+ 1 0) into 1 1.106 * [backup-simplify]: Simplify (- 1) into -1 1.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.107 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.107 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (/ 1 1) into 1 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [backup-simplify]: Simplify 1.0 into 1.0 1.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [backup-simplify]: Simplify 1.0 into 1.0 1.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (/ 1 1) into 1 1.107 * [backup-simplify]: Simplify (+ 1 0) into 1 1.108 * [backup-simplify]: Simplify (- 1) into -1 1.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.108 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.108 * [backup-simplify]: Simplify -1 into -1 1.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.109 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.110 * [backup-simplify]: Simplify (- 0) into 0 1.110 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.111 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.112 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (+ 0 0) into 0 1.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (- 0) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.116 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 1.116 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.117 * [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))))) 1.117 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.117 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 1.117 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.117 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.117 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.117 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.117 * [backup-simplify]: Simplify 1.0 into 1.0 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.117 * [backup-simplify]: Simplify 1.0 into 1.0 1.117 * [backup-simplify]: Simplify (- 0) into 0 1.118 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.118 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.118 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.118 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.119 * [backup-simplify]: Simplify (- 1) into -1 1.119 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.119 * [backup-simplify]: Simplify (+ 1 0) into 1 1.121 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.122 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.122 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.122 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.122 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [backup-simplify]: Simplify 1.0 into 1.0 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [backup-simplify]: Simplify 1.0 into 1.0 1.122 * [backup-simplify]: Simplify (- 0) into 0 1.123 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.123 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.123 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.123 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.124 * [backup-simplify]: Simplify (- 1) into -1 1.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.124 * [backup-simplify]: Simplify (+ 1 0) into 1 1.126 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.127 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.127 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.128 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 1.128 * [backup-simplify]: Simplify (- 0) into 0 1.128 * [backup-simplify]: Simplify (+ 0 0) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.131 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 1.134 * [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))) 1.138 * [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))) 1.148 * [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))))) 1.148 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 1.149 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.149 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.149 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [backup-simplify]: Simplify 1.0 into 1.0 1.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (/ 1 1) into 1 1.149 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (/ 1 1) into 1 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [backup-simplify]: Simplify 1.0 into 1.0 1.149 * [backup-simplify]: Simplify (- 1) into -1 1.150 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.150 * [backup-simplify]: Simplify (+ 1 0) into 1 1.150 * [backup-simplify]: Simplify (/ -1 1) into -1 1.150 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.151 * [backup-simplify]: Simplify (- 0) into 0 1.151 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.152 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.154 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.155 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.155 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.155 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.155 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [backup-simplify]: Simplify 1.0 into 1.0 1.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ 1 1) into 1 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ 1 1) into 1 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [backup-simplify]: Simplify 1.0 into 1.0 1.156 * [backup-simplify]: Simplify (- 1) into -1 1.156 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.156 * [backup-simplify]: Simplify (+ 1 0) into 1 1.156 * [backup-simplify]: Simplify (/ -1 1) into -1 1.157 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.157 * [backup-simplify]: Simplify (- 0) into 0 1.157 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.160 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.161 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.161 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.161 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 1.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.162 * [backup-simplify]: Simplify (- 0) into 0 1.162 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 1.169 * [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))) 1.172 * [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))) 1.177 * [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)))))) 1.178 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 1.178 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.178 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (/ 1 1) into 1 1.178 * [taylor]: Taking taylor expansion of 1.0 in x 1.178 * [backup-simplify]: Simplify 1.0 into 1.0 1.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.178 * [taylor]: Taking taylor expansion of 1.0 in x 1.178 * [backup-simplify]: Simplify 1.0 into 1.0 1.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [backup-simplify]: Simplify 0 into 0 1.178 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (/ 1 1) into 1 1.179 * [backup-simplify]: Simplify (+ 1 0) into 1 1.179 * [backup-simplify]: Simplify (- 1) into -1 1.179 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.179 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.180 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.180 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (- 0) into 0 1.181 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.183 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.184 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.184 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.184 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 1 into 1 1.184 * [backup-simplify]: Simplify (/ 1 1) into 1 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [backup-simplify]: Simplify 1.0 into 1.0 1.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [backup-simplify]: Simplify 1.0 into 1.0 1.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 1 into 1 1.185 * [backup-simplify]: Simplify (/ 1 1) into 1 1.185 * [backup-simplify]: Simplify (+ 1 0) into 1 1.185 * [backup-simplify]: Simplify (- 1) into -1 1.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.185 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.186 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.187 * [backup-simplify]: Simplify (- 0) into 0 1.187 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.189 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.190 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.190 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.191 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 1.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.192 * [backup-simplify]: Simplify (- 0) into 0 1.192 * [backup-simplify]: Simplify (+ 0 0) into 0 1.195 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 1.198 * [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))) 1.202 * [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))) 1.207 * [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)))))) 1.207 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.207 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) into (sqrt (/ (- 1.0 x) (+ x 1.0))) 1.207 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.207 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.207 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.207 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.207 * [taylor]: Taking taylor expansion of 1.0 in x 1.207 * [backup-simplify]: Simplify 1.0 into 1.0 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [taylor]: Taking taylor expansion of 1.0 in x 1.207 * [backup-simplify]: Simplify 1.0 into 1.0 1.208 * [backup-simplify]: Simplify (- 0) into 0 1.208 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.208 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.208 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.208 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.209 * [backup-simplify]: Simplify (- 1) into -1 1.209 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.209 * [backup-simplify]: Simplify (+ 1 0) into 1 1.211 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.212 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.212 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.212 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.212 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.212 * [taylor]: Taking taylor expansion of 1.0 in x 1.212 * [backup-simplify]: Simplify 1.0 into 1.0 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 1 into 1 1.212 * [taylor]: Taking taylor expansion of 1.0 in x 1.212 * [backup-simplify]: Simplify 1.0 into 1.0 1.212 * [backup-simplify]: Simplify (- 0) into 0 1.213 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.213 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.213 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 1.213 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.214 * [backup-simplify]: Simplify (- 1) into -1 1.214 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.214 * [backup-simplify]: Simplify (+ 1 0) into 1 1.216 * [backup-simplify]: Simplify (- (/ -1 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 2.0) 1.217 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt 1.0))) into (/ -1.0 (sqrt 1.0)) 1.217 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.218 * [backup-simplify]: Simplify (/ -1.0 (sqrt 1.0)) into (/ -1.0 (sqrt 1.0)) 1.218 * [backup-simplify]: Simplify (- 0) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.218 * [backup-simplify]: Simplify (+ 0 0) into 0 1.221 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 2.0) (/ 1 1.0)))) into 2.0 1.224 * [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))) 1.228 * [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))) 1.236 * [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))))) 1.236 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x)))) into (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 1.236 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.236 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.236 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.236 * [taylor]: Taking taylor expansion of 1.0 in x 1.236 * [backup-simplify]: Simplify 1.0 into 1.0 1.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 1 into 1 1.236 * [backup-simplify]: Simplify (/ 1 1) into 1 1.236 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 1 into 1 1.237 * [backup-simplify]: Simplify (/ 1 1) into 1 1.237 * [taylor]: Taking taylor expansion of 1.0 in x 1.237 * [backup-simplify]: Simplify 1.0 into 1.0 1.237 * [backup-simplify]: Simplify (- 1) into -1 1.237 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.238 * [backup-simplify]: Simplify (+ 1 0) into 1 1.238 * [backup-simplify]: Simplify (/ -1 1) into -1 1.238 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (- 0) into 0 1.239 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.240 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.241 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.242 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.242 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.242 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.242 * [taylor]: Taking taylor expansion of 1.0 in x 1.242 * [backup-simplify]: Simplify 1.0 into 1.0 1.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.242 * [backup-simplify]: Simplify (/ 1 1) into 1 1.242 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.243 * [backup-simplify]: Simplify (/ 1 1) into 1 1.243 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [backup-simplify]: Simplify 1.0 into 1.0 1.243 * [backup-simplify]: Simplify (- 1) into -1 1.243 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.243 * [backup-simplify]: Simplify (+ 1 0) into 1 1.244 * [backup-simplify]: Simplify (/ -1 1) into -1 1.244 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.245 * [backup-simplify]: Simplify (- 0) into 0 1.245 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.245 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.247 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -1 (/ 1.0 1)))) into 2.0 1.248 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt -1))) into (/ 1.0 (sqrt -1)) 1.248 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.249 * [backup-simplify]: Simplify (/ 1.0 (sqrt -1)) into (/ 1.0 (sqrt -1)) 1.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (- 0) into 0 1.250 * [backup-simplify]: Simplify (+ 0 0) into 0 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (+ 0 0) into 0 1.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 1.0 1)))) into (- 2.0) 1.256 * [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))) 1.260 * [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))) 1.265 * [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)))))) 1.265 * [backup-simplify]: Simplify (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x))))) into (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 1.265 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.265 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.265 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.265 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [backup-simplify]: Simplify (/ 1 1) into 1 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [backup-simplify]: Simplify 1.0 into 1.0 1.265 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.266 * [backup-simplify]: Simplify 1.0 into 1.0 1.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.266 * [taylor]: Taking taylor expansion of x in x 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (/ 1 1) into 1 1.266 * [backup-simplify]: Simplify (+ 1 0) into 1 1.266 * [backup-simplify]: Simplify (- 1) into -1 1.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.267 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.267 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (- 0) into 0 1.268 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.270 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 2.0) 1.271 * [backup-simplify]: Simplify (/ (- 2.0) (* 2 (sqrt -1))) into (/ -1.0 (sqrt -1)) 1.271 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.271 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 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 1.271 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (- 1.0 (/ 1 x)) in x 1.272 * [taylor]: Taking taylor expansion of 1.0 in x 1.272 * [backup-simplify]: Simplify 1.0 into 1.0 1.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 1 into 1 1.272 * [backup-simplify]: Simplify (/ 1 1) into 1 1.272 * [backup-simplify]: Simplify (+ 1 0) into 1 1.272 * [backup-simplify]: Simplify (- 1) into -1 1.272 * [backup-simplify]: Simplify (+ 0 -1) 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 1.0) into 1.0 1.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.274 * [backup-simplify]: Simplify (- 0) into 0 1.275 * [backup-simplify]: Simplify (+ 1.0 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 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.278 * [backup-simplify]: Simplify (/ -1.0 (sqrt -1)) into (/ -1.0 (sqrt -1)) 1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (+ 0 0) into 0 1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.280 * [backup-simplify]: Simplify (- 0) into 0 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.282 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 2.0) (/ 1.0 -1)))) into (- 2.0) 1.286 * [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))) 1.289 * [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))) 1.294 * [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)))))) 1.294 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.295 * [backup-simplify]: Simplify (atan (sqrt (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.295 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.295 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.295 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.295 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.295 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.295 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.296 * [backup-simplify]: Simplify (atan (sqrt (* (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x)))) (/ (sqrt (- 1.0 (/ 1 x))) (sqrt (+ 1.0 (/ 1 x))))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 1.296 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 1.296 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.296 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 1.296 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.296 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) 1.296 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))))) into (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify (atan (sqrt (/ (- 1.0 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1.0)))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.297 * [backup-simplify]: Simplify (atan (sqrt (* (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x))))) (/ (sqrt (- 1.0 (/ 1 (- x)))) (sqrt (+ 1.0 (/ 1 (- x)))))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 1.297 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.297 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.297 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 1.297 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.297 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) 1.297 * [backup-simplify]: Simplify (atan (sqrt (/ (+ 1.0 (/ 1 x)) (- 1.0 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1.0) (- 1.0 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 1.297 * * * [progress]: simplifying candidates 1.307 * [simplify]: Simplifying: (expm1 (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log1p (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (+ 1 1) (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (+ 1 1) (+ (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x)))) (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x))))) (+ (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (+ (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x))))) (+ (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (exp (* (/ (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 (- 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (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 (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (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 (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (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 (+ 1.0 x)))) (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (cbrt (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (* (/ (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 (- 1.0 x)) (sqrt (+ 1.0 x)))) (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (* (/ (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 (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (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 (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))))) (* (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (* (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (* (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x))))) (* (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x))))) (* (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x))))) (* (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1))) (* (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (* (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1))) (* (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (* (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1))) (* (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (* (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1))) (* (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (* (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x))))) (* (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x))))) (* (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x))))) (* (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 1) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 1)) (* (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (* (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 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(cbrt (atan (sqrt (* (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))))))) (* (* (atan (sqrt (* (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1)))))) (atan (sqrt (* (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))))))) (atan (sqrt (* (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))))))) (sqrt (atan (sqrt (* (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))) (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))))))) (sqrt (atan (sqrt (* (/ (sqrt (- h0 h1)) (sqrt (+ h0 h1))) (/ (sqrt (- h0 h1)) (sqrt (+ 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)))))) (- (+ (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)))) 1.334 * * [simplify]: iteration 0 : 951 enodes (cost 7951 ) 1.352 * * [simplify]: iteration 1 : 4869 enodes (cost 6800 ) 1.409 * * [simplify]: iteration 2 : 5001 enodes (cost 6798 ) 1.436 * * * [progress]: adding candidates to table 2.251 * [progress]: [Phase 3 of 3] Extracting. 2.254 * [simplify]: Simplifying: (* 2.0 (atan (sqrt (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))))) 2.254 * [simplify]: Sending expressions to egg_math: (* h0 (atan (sqrt (* (/ (sqrt (- h1 h2)) (sqrt (+ h1 h2))) (/ (sqrt (- h1 h2)) (sqrt (+ h1 h2))))))) 2.255 * * [simplify]: iteration 0 : 14 enodes (cost 14 ) 2.255 * * [simplify]: iteration 1 : 14 enodes (cost 14 ) 3.141 * [regime-testing]: End program error score: 0.016950239092476706