0.884 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.295 * * * [progress]: [2/2] Setting up program. 0.298 * [progress]: [Phase 2 of 3] Improving. 0.301 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.304 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.306 * * [simplify]: iteration 1 : 19 enodes (cost 6 ) 0.307 * * [simplify]: iteration 2 : 21 enodes (cost 6 ) 0.308 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.309 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.310 * * [progress]: iteration 1 / 4 0.310 * * * [progress]: picking best candidate 0.312 * * * * [pick]: Picked # 0.313 * * * [progress]: localizing error 0.323 * * * [progress]: generating rewritten candidates 0.323 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.324 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.339 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.354 * * * [progress]: generating series expansions 0.354 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.367 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.368 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.369 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.371 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.371 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.371 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.371 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.371 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.371 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.372 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 0.372 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.372 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.374 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.395 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.407 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.407 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.407 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.407 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.407 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.412 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.412 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.434 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.440 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.469 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.475 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.501 * * * [progress]: simplifying candidates 0.503 * [simplify]: Simplifying using # : (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))))) (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)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (+ (* 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)))))) 0.508 * * [simplify]: iteration 0 : 370 enodes (cost 779 ) 0.514 * * [simplify]: iteration 1 : 1128 enodes (cost 734 ) 0.535 * * [simplify]: iteration 2 : 5001 enodes (cost 719 ) 0.540 * [simplify]: Simplified to: (expm1 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log1p (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (expm1 (/ (- 1.0 x) (+ 1.0 x))) (log1p (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (/ (- 1.0 x) (+ x 1.0))) (- x 1.0) (- (+ 1.0 x)) (/ 1.0 (+ x 1.0)) (/ x (+ x 1.0)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (expm1 (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log1p (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (sqrt (/ (- 1.0 x) (+ x 1.0)))) (exp (sqrt (/ (- 1.0 x) (+ x 1.0)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 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)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (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)))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) 1 (sqrt (/ (- 1.0 x) (+ x 1.0))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 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)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (fma (pow x 2) 2.0 (- 1.0 (* 2.0 x))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (/ 2.0 x) (- 1 (/ (- 2.0) (pow x 2)))) (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) (- (sqrt -1) (- (* (/ 1 (pow x 2)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (pow (sqrt -1) 3)))) (/ 1.0 (* x (sqrt -1))))) 0.540 * * * [progress]: adding candidates to table 0.777 * * [progress]: iteration 2 / 4 0.777 * * * [progress]: picking best candidate 0.781 * * * * [pick]: Picked # 0.781 * * * [progress]: localizing error 0.792 * * * [progress]: generating rewritten candidates 0.792 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 0.809 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.825 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.826 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.841 * * * [progress]: generating series expansions 0.842 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 0.842 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 2) in (x) around 0 0.842 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 0.842 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 0.843 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.846 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in (x) around 0 0.846 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of 1.0 in x 0.846 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in (x) around 0 0.851 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 0.851 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.851 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 0.852 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.859 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.859 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (pow (+ x 1.0) 2)) in (x) around 0 0.859 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (pow (+ x 1.0) 2)) in x 0.859 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 0.859 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (pow (+ x 1.0) 2)) in x 0.860 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 0.860 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (+ (/ 1 x) 1.0) 2)) in (x) around 0 0.870 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (+ (/ 1 x) 1.0) 2)) in x 0.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.870 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 0.871 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (+ (/ 1 x) 1.0) 2)) in x 0.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (- 1.0 (/ 1 x)) 2)) in (x) around 0 0.887 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (- 1.0 (/ 1 x)) 2)) in x 0.887 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 0.887 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (- 1.0 (/ 1 x)) 2)) in x 0.889 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.889 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.889 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 0.890 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.908 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.909 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) in (x) around 0 0.909 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) in x 0.909 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) in x 0.910 * [approximate]: Taking taylor expansion of (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.910 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.910 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.911 * [approximate]: Taking taylor expansion of (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.911 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.912 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.912 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.913 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in (x) around 0 0.913 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in x 0.913 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.913 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.913 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.914 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0))) in x 0.915 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.915 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.916 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.936 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.936 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.937 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 0.940 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.941 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.965 * [approximate]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.965 * [taylor]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.966 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.966 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.969 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.969 * [taylor]: Taking taylor expansion of 1.0 in x 0.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.970 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.970 * [taylor]: Taking taylor expansion of 1.0 in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.999 * * * [progress]: simplifying candidates 1.001 * [simplify]: Simplifying using # : (expm1 (* (+ 1.0 x) (+ 1.0 x))) (log1p (* (+ 1.0 x) (+ 1.0 x))) (+ 1 1) (* (+ 1.0 x) (+ 1.0 x)) (+ 1 1) (+ (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))) (* (+ (pow 1.0 3) (pow x 3)) (+ (pow 1.0 3) (pow x 3))) (* (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (* (+ (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* x x))) (* (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))) (- 1.0 x)) (* (- (* 1.0 1.0) (* x 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 1.0) (* x x))) (* (- 1.0 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))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt (+ 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) (* (+ 1.0 x) (+ 1.0 x)) (* 1 1) (* (+ 1.0 x) (+ 1.0 x)) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* 2 1) (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x) (* 1.0 (+ 1.0 x)) (* 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) (* (cbrt (+ 1.0 x)) (+ 1.0 x)) (* (sqrt (+ 1.0 x)) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 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))) (* (+ (pow 1.0 3) (pow x 3)) (+ 1.0 x)) (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (expm1 (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (log1p (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (- (log (- (* 1.0 1.0) (* x x))) (+ (log (+ 1.0 x)) (log (+ 1.0 x)))) (- (log (- (* 1.0 1.0) (* x x))) (log (* (+ 1.0 x) (+ 1.0 x)))) (log (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (exp (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (/ (* (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x))) (* (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x)))) (/ (* (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x))) (* (* (* (+ 1.0 x) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x))) (* (+ 1.0 x) (+ 1.0 x)))) (* (cbrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (cbrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (cbrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))) (* (* (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))) (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 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(/ (sqrt -1) (pow x 2)))))) 1.009 * * [simplify]: iteration 0 : 527 enodes (cost 1107 ) 1.019 * * [simplify]: iteration 1 : 2355 enodes (cost 948 ) 1.068 * * [simplify]: iteration 2 : 5001 enodes (cost 914 ) 1.073 * [simplify]: Simplified to: (expm1 (* (+ 1.0 x) (+ 1.0 x))) (log1p (* (+ 1.0 x) (+ 1.0 x))) 2 (* (+ 1.0 x) (+ 1.0 x)) 2 (* 2 (log (+ 1.0 x))) (* 2 (log (+ 1.0 x))) (exp (* (+ 1.0 x) (+ 1.0 x))) (pow (* (+ 1.0 x) (+ 1.0 x)) 3) (* (cbrt (* (+ 1.0 x) (+ 1.0 x))) (cbrt (* (+ 1.0 x) (+ 1.0 x)))) (cbrt (* (+ 1.0 x) (+ 1.0 x))) (pow (* (+ 1.0 x) (+ 1.0 x)) 3) (fabs (+ 1.0 x)) (fabs (+ 1.0 x)) (* (+ (pow 1.0 3) (pow x 3)) (+ (pow 1.0 3) (pow x 3))) (* (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (* (- (* 1.0 1.0) (* x 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)) (+ (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 1.0) (* x 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(sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ (pow 1.0 3) (pow x 3)) (+ 1.0 x)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ (pow 1.0 3) (pow x 3)) (+ 1.0 x)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (sqrt (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x))))) (fma x x (fma 2.0 x 1.0)) (fma x x (fma 2.0 x 1.0)) (fma x x (fma 2.0 x 1.0)) (fma (pow x 2) 2.0 (- 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))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) (fma (sqrt 1.0) (+ (* 1.0 (pow x 2)) 1.0) (- (fma 1.0 (* x (sqrt 1.0)) (* 0.5 (/ (pow x 2) (sqrt 1.0)))))) (fma (- 1.0) (/ (sqrt -1) x) (fma (/ 1 (* (pow x 2) (sqrt -1))) 0.5 (fma 1.0 (/ (sqrt -1) (pow x 2)) (sqrt -1)))) (fma 1.0 (/ (sqrt -1) x) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (+ (sqrt -1) (* 1.0 (/ (sqrt -1) (pow x 2))))))) 1.074 * * * [progress]: adding candidates to table 1.365 * * [progress]: iteration 3 / 4 1.365 * * * [progress]: picking best candidate 1.367 * * * * [pick]: Picked # 1.368 * * * [progress]: localizing error 1.383 * * * [progress]: generating rewritten candidates 1.383 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1 1) 1.400 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.403 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.412 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.419 * * * [progress]: generating series expansions 1.419 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1 1) 1.420 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 2) in (x) around 0 1.420 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.420 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.421 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.421 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of 1.0 in x 1.424 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in (x) around 0 1.424 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 1.424 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of 1.0 in x 1.425 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 1.425 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.425 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in (x) around 0 1.430 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.437 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.437 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 2) in (x) around 0 1.437 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.437 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.437 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in (x) around 0 1.440 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 1.440 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 1.441 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.446 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in (x) around 0 1.446 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.446 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.446 * [taylor]: Taking taylor expansion of 1.0 in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.447 * [taylor]: Taking taylor expansion of 1.0 in x 1.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.453 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.453 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (pow (+ x 1.0) 2)) in (x) around 0 1.453 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (pow (+ x 1.0) 2)) in x 1.453 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.454 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) (pow (+ x 1.0) 2)) in x 1.455 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.455 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.465 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (+ (/ 1 x) 1.0) 2)) in (x) around 0 1.465 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (+ (/ 1 x) 1.0) 2)) in x 1.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.465 * [taylor]: Taking taylor expansion of 1.0 in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of 1.0 in x 1.467 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (+ (/ 1 x) 1.0) 2)) in x 1.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.467 * [taylor]: Taking taylor expansion of 1.0 in x 1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) 1.0) 2) in x 1.468 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of 1.0 in x 1.481 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (- 1.0 (/ 1 x)) 2)) in (x) around 0 1.481 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (- 1.0 (/ 1 x)) 2)) in x 1.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.481 * [taylor]: Taking taylor expansion of 1.0 in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.482 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.482 * [taylor]: Taking taylor expansion of 1.0 in x 1.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 2))) (pow (- 1.0 (/ 1 x)) 2)) in x 1.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.484 * [taylor]: Taking taylor expansion of 1.0 in x 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.484 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.484 * [taylor]: Taking taylor expansion of 1.0 in x 1.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.484 * [taylor]: Taking taylor expansion of x in x 1.500 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.500 * [approximate]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) in (x) around 0 1.500 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) in x 1.500 * [taylor]: Taking taylor expansion of (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) in x 1.501 * [approximate]: Taking taylor expansion of (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 1.501 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.504 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (+ (/ 1 x) 1.0)) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.505 * [approximate]: Taking taylor expansion of (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 1.505 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.506 * [taylor]: Taking taylor expansion of (atan (* (/ 1 (- 1.0 (/ 1 x))) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.506 * * * [progress]: simplifying candidates 1.508 * [simplify]: Simplifying using # : (expm1 (* (+ 1.0 x) (+ 1.0 x))) (log1p (* (+ 1.0 x) (+ 1.0 x))) (+ 1 1) (* (+ 1.0 x) (+ 1.0 x)) (+ 1 1) (+ (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))) (* (+ (pow 1.0 3) (pow x 3)) (+ (pow 1.0 3) (pow x 3))) (* (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (* (+ (pow 1.0 3) (pow x 3)) (- (* 1.0 1.0) (* x x))) (* (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))) (- 1.0 x)) (* (- (* 1.0 1.0) (* x 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 1.0) (* x x))) (* (- 1.0 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))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt (+ 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) (* (+ 1.0 x) (+ 1.0 x)) (* 1 1) (* (+ 1.0 x) (+ 1.0 x)) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* 2 1) (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x) (* 1.0 (+ 1.0 x)) (* 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) (* (cbrt (+ 1.0 x)) (+ 1.0 x)) (* (sqrt (+ 1.0 x)) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 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))) (* (+ (pow 1.0 3) (pow x 3)) (+ 1.0 x)) (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (expm1 (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (log1p (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (log (exp (* (+ 1.0 x) 1.0))) (log (exp (* (+ 1.0 x) x))) (log (exp (* 1.0 (+ 1.0 x)))) (log (exp (* x (+ 1.0 x)))) (log (* (cbrt (exp (* (+ 1.0 x) (+ 1.0 x)))) (cbrt (exp (* (+ 1.0 x) (+ 1.0 x)))))) (log (cbrt (exp (* (+ 1.0 x) (+ 1.0 x))))) (log (sqrt (exp (* (+ 1.0 x) (+ 1.0 x))))) (log (sqrt (exp (* (+ 1.0 x) (+ 1.0 x))))) (log 1) (log (exp (* (+ 1.0 x) (+ 1.0 x)))) (log (* (exp 1.0) (exp x))) (log (exp (+ 1.0 x))) (log (exp (* (+ 1.0 x) (+ 1.0 x)))) (log (exp (+ 1.0 x))) (log (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (exp (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (* (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (* (* (log (exp (* (+ 1.0 x) (+ 1.0 x)))) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (sqrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (sqrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (expm1 (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (log1p (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (- (log (- (* 1.0 1.0) (* x x))) (log (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (log (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (exp (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (* (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x))) (* (* (log (exp (* (+ 1.0 x) (+ 1.0 x)))) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (* (cbrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (cbrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x))))))) (cbrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (* (* (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (- (- (* 1.0 1.0) (* x x))) (- (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ (* 1.0 1.0) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ (* x x) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (cbrt (- (* 1.0 1.0) (* x x))) (log (* (exp 1.0) (exp x)))) (/ (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (cbrt (- (* 1.0 1.0) (* x x))) (log (exp (+ 1.0 x)))) (/ (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))) 1) (/ (cbrt (- (* 1.0 1.0) (* x x))) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (/ (cbrt (- (* 1.0 1.0) (* x x))) (log (exp (+ 1.0 x)))) (/ (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))) (* (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))))) (/ (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))) (sqrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (cbrt (- (* 1.0 1.0) (* x x))) (sqrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))) 1) (/ (cbrt (- (* 1.0 1.0) (* x x))) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt (- (* 1.0 1.0) (* x x))) (log (* (exp 1.0) (exp x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt (- (* 1.0 1.0) (* x x))) (log (exp (+ 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (sqrt (- (* 1.0 1.0) (* x x))) (log (exp (+ 1.0 x)))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (* (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (sqrt (- (* 1.0 1.0) (* x x))) 1) (/ (sqrt (- (* 1.0 1.0) (* x x))) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ 1 (+ 1.0 x)) (/ (- (* 1.0 1.0) (* x x)) (log (* (exp 1.0) (exp x)))) (/ 1 (+ 1.0 x)) (/ (- (* 1.0 1.0) (* x x)) (log (exp (+ 1.0 x)))) (/ 1 1) (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ 1 (+ 1.0 x)) (/ (- (* 1.0 1.0) (* x x)) (log (exp (+ 1.0 x)))) (/ 1 (* (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))))) (/ (- (* 1.0 1.0) (* x x)) (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ 1 (sqrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (- (* 1.0 1.0) (* x x)) (sqrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ 1 1) (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ (+ 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (log (* (exp 1.0) (exp x)))) (/ (+ 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (log (exp (+ 1.0 x)))) (/ (+ 1.0 x) 1) (/ (- 1.0 x) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ (+ 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (log (exp (+ 1.0 x)))) (/ (+ 1.0 x) (* (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))))) (/ (- 1.0 x) (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (+ 1.0 x) (sqrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (- 1.0 x) (sqrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (+ 1.0 x) 1) (/ (- 1.0 x) (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ 1 (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (/ (log (exp (* (+ 1.0 x) (+ 1.0 x)))) (- (* 1.0 1.0) (* x x))) (/ (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (/ (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (/ (- (* 1.0 1.0) (* x x)) 1) (/ (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (/ (- (* 1.0 1.0) (* x x)) (* (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))) (cbrt (log (exp (* (+ 1.0 x) (+ 1.0 x))))))) (/ (- (* 1.0 1.0) (* x x)) (sqrt (log (exp (* (+ 1.0 x) (+ 1.0 x)))))) (/ (- (* 1.0 1.0) (* x x)) 1) (/ (log (exp (* (+ 1.0 x) (+ 1.0 x)))) (cbrt (- (* 1.0 1.0) (* x x)))) (/ (log (exp (* (+ 1.0 x) (+ 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (log (exp (* (+ 1.0 x) (+ 1.0 x)))) (- (* 1.0 1.0) (* x x))) (/ (log (exp (* (+ 1.0 x) (+ 1.0 x)))) (- 1.0 x)) (* (log (exp (* (+ 1.0 x) (+ 1.0 x)))) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x))))) (* (log (exp (* (+ 1.0 x) (+ 1.0 x)))) (+ (* 1.0 1.0) (* x x))) (expm1 (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (log1p (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (log (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (exp (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (* (cbrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (cbrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x))))))))) (cbrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (* (* (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x))))))) (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (sqrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (sqrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (- (+ (* 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))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 1.516 * * [simplify]: iteration 0 : 463 enodes (cost 1203 ) 1.525 * * [simplify]: iteration 1 : 2204 enodes (cost 1013 ) 1.574 * * [simplify]: iteration 2 : 5001 enodes (cost 995 ) 1.579 * [simplify]: Simplified to: (expm1 (* (+ 1.0 x) (+ 1.0 x))) (log1p (* (+ 1.0 x) (+ 1.0 x))) 2 (* (+ 1.0 x) (+ 1.0 x)) 2 (* 2 (log (+ 1.0 x))) (* 2 (log (+ 1.0 x))) (exp (* (+ 1.0 x) (+ 1.0 x))) (pow (* (+ 1.0 x) (+ 1.0 x)) 3) (* (cbrt (* (+ 1.0 x) (+ 1.0 x))) (cbrt (* (+ 1.0 x) (+ 1.0 x)))) (cbrt (* (+ 1.0 x) (+ 1.0 x))) (pow (* (+ 1.0 x) (+ 1.0 x)) 3) (fabs (+ 1.0 x)) (fabs (+ 1.0 x)) (* (+ (pow 1.0 3) (pow x 3)) (+ (pow 1.0 3) (pow x 3))) (* (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (* (- (* 1.0 1.0) (* x 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)) (+ (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 1.0) (* x x))) (* (- 1.0 x) (- 1.0 x)) (pow (cbrt (+ 1.0 x)) 4) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))) (+ 1.0 x) (+ 1.0 x) 1 (* (+ 1.0 x) (+ 1.0 x)) 1 (* (+ 1.0 x) (+ 1.0 x)) 1 (* (+ 1.0 x) (+ 1.0 x)) 1 (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x) (+ 1.0 x) 2 (* 1.0 (+ 1.0 x)) (* x (+ 1.0 x)) (* 1.0 (+ 1.0 x)) (* x (+ 1.0 x)) (* (+ 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (pow (sqrt (+ 1.0 x)) 3) (+ 1.0 x) (+ 1.0 x) (pow (cbrt (+ 1.0 x)) 4) (pow (sqrt (+ 1.0 x)) 3) (* (+ 1.0 x) (+ 1.0 x)) (* (+ 1.0 x) (+ 1.0 x)) (* (+ 1.0 x) (+ (pow 1.0 3) (pow x 3))) (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (* (+ 1.0 x) (+ (pow 1.0 3) (pow x 3))) (* (- (* 1.0 1.0) (* x x)) (+ 1.0 x)) (expm1 (* (+ 1.0 x) (+ 1.0 x))) (log1p (* (+ 1.0 x) (+ 1.0 x))) (* 1.0 (+ 1.0 x)) (* x (+ 1.0 x)) (* 1.0 (+ 1.0 x)) (* x (+ 1.0 x)) (* 2 (log (cbrt (exp (* (+ 1.0 x) (+ 1.0 x)))))) (log (cbrt (exp (* (+ 1.0 x) (+ 1.0 x))))) (log (sqrt (exp (* 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(- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x))))))))) (cbrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (pow (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x))))))) 3) (sqrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (sqrt (atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (log (exp (* (+ 1.0 x) (+ 1.0 x)))))))) (fma x x (fma 2.0 x 1.0)) (fma x x (fma 2.0 x 1.0)) (fma x x (fma 2.0 x 1.0)) (fma x x (fma 2.0 x 1.0)) (fma x x (fma 2.0 x 1.0)) (fma x x (fma 2.0 x 1.0)) (fma (pow x 2) 2.0 (- 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))))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) (atan (* (sqrt (- 1.0 (pow x 2))) (/ 1 (+ x 1.0)))) 1.580 * * * [progress]: adding candidates to table 1.886 * [progress]: [Phase 3 of 3] Extracting. 1.887 * * [regime]: Finding splitpoints for: (# #) 1.888 * * * [regime-changes]: Trying 5 branch expressions: ((/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) x) 1.888 * * * * [regimes]: Trying to branch on (/ (- 1.0 x) (+ 1.0 x)) from (# #) 1.899 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1.0 x) (+ 1.0 x))) from (# #) 1.912 * * * * [regimes]: Trying to branch on (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) from (# #) 1.929 * * * * [regimes]: Trying to branch on (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) from (# #) 1.944 * * * * [regimes]: Trying to branch on x from (# #) 1.956 * * * [regime]: Found split indices: #