4.535 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.051 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.053 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.054 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.055 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.055 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.089 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.108 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.114 * * * [progress]: generating series expansions 0.114 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.114 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.114 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.114 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.114 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.114 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.114 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.119 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.119 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.119 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.232 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.232 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.232 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.232 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.232 * [taylor]: Taking taylor expansion of 1.0 in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.244 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.244 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.308 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.308 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.308 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.308 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.316 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.316 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.316 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.409 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.409 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.409 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.409 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.409 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.409 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.411 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.411 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.411 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.452 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.452 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.452 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.455 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.475 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.475 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.475 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.475 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.479 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.479 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.479 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.479 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.510 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 0.510 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.510 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.510 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.511 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.525 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.525 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.545 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.545 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.565 * * * [progress]: simplifying candidates 0.572 * [simplify]: Simplifying using # : (expm1 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 (* (cbrt x) (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) (log (/ 1 1)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log 1) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (log (* x x)) (log (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (exp (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* (* (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (exp (/ 1.0 x)) (exp (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (* (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (log (+ (sqrt 1.0) 1.0)) (+ (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))) (+ (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (+ (log x) (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))))) (- (+ (log (sqrt -1)) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (+ (log (- (sqrt -1))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (* 1.0 (/ 1 (* x (sqrt -1))))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.579 * * [simplify]: iteration 0 : 443 enodes (cost 652 ) 0.587 * * [simplify]: iteration 1 : 1562 enodes (cost 605 ) 0.614 * * [simplify]: iteration 2 : 5001 enodes (cost 594 ) 0.618 * [simplify]: Simplified to: (expm1 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log1p (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (* 2 (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) 0 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 (* (cbrt x) (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))) (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))) 0 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0 (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (log (* x x)) (log (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (* (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (cbrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (pow (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 3) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (sqrt (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (expm1 (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (exp (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (pow (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) 3) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (fma (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) (* (/ 1.0 x) (/ 1.0 x))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x))) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (- (log (+ (sqrt 1.0) 1.0)) (fma 1/2 (/ x (/ (+ (* (sqrt 1.0) 1.0) 1.0) x)) (fma 1/8 (/ (/ (pow x 4) (pow (+ (sqrt 1.0) 1.0) 2)) 1.0) (log x)))) (* (/ 1/8 (fma 1.0 (sqrt 1.0) 1.0)) (/ (pow x 4) 1.0))) (- (/ 1.0 (* x (sqrt -1))) (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (log (sqrt -1)))) (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (- (/ 1.0 (* x (sqrt -1))) (log (- (sqrt -1))))) (fma 1.0 (/ 1 x) (- (/ (sqrt 1.0) x) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (fma (/ 1 (* (pow x 2) (sqrt -1))) 0.5 (fma 1.0 (/ 1 x) (sqrt -1))) (fma 1.0 (/ 1 x) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (- (sqrt 1.0) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma (- 0.125) (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (fma (sqrt -1) x (/ (/ 0.5 (sqrt -1)) x))) (fma 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) 0.619 * * * [progress]: adding candidates to table 0.796 * * [progress]: iteration 2 / 4 0.796 * * * [progress]: picking best candidate 0.799 * * * * [pick]: Picked # 0.799 * * * [progress]: localizing error 0.817 * * * [progress]: generating rewritten candidates 0.817 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.867 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.871 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.876 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.894 * * * [progress]: generating series expansions 0.894 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.895 * [approximate]: Taking taylor expansion of (+ (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) (log (sqrt (/ 1 x)))) in (x) around 0 0.895 * [taylor]: Taking taylor expansion of (+ (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) (log (sqrt (/ 1 x)))) in x 0.895 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in x 0.895 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 0.895 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.895 * [taylor]: Taking taylor expansion of 1.0 in x 0.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 0.897 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 0.897 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.897 * [taylor]: Taking taylor expansion of 1.0 in x 0.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (+ (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) (log (sqrt (/ 1 x)))) in x 0.902 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x)))) in x 0.902 * [taylor]: Taking taylor expansion of (+ (* 1.0 (sqrt (/ 1 x))) (sqrt (/ (- 1.0 (pow x 2)) x))) in x 0.902 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 0.904 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 0.904 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 0.908 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.965 * [approximate]: Taking taylor expansion of (+ (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) (log (sqrt x))) in (x) around 0 0.965 * [taylor]: Taking taylor expansion of (+ (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) (log (sqrt x))) in x 0.965 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in x 0.965 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 0.965 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.965 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.969 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.969 * [taylor]: Taking taylor expansion of 1.0 in x 0.969 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.971 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (+ (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) (log (sqrt x))) in x 0.972 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x)))) in x 0.972 * [taylor]: Taking taylor expansion of (+ (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) (* 1.0 (sqrt x))) in x 0.972 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.972 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.972 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 0.978 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 1.027 * [approximate]: Taking taylor expansion of (+ (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) (log (/ 1 (sqrt (/ -1 x))))) in (x) around 0 1.027 * [taylor]: Taking taylor expansion of (+ (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) (log (/ 1 (sqrt (/ -1 x))))) in x 1.027 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) in x 1.027 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 1.027 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.027 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.030 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.030 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.030 * [taylor]: Taking taylor expansion of -1 in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.031 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.031 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.031 * [taylor]: Taking taylor expansion of -1 in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.035 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 x)))) in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.036 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.036 * [taylor]: Taking taylor expansion of -1 in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.037 * [taylor]: Taking taylor expansion of (+ (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) (log (/ 1 (sqrt (/ -1 x))))) in x 1.038 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x)))))) in x 1.038 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) (* 1.0 (/ 1 (sqrt (/ -1 x))))) in x 1.038 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.038 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.038 * [taylor]: Taking taylor expansion of 1.0 in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.046 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.046 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.046 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.046 * [taylor]: Taking taylor expansion of -1 in x 1.046 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (sqrt (/ -1 x)))) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.048 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.048 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.048 * [taylor]: Taking taylor expansion of -1 in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (log (/ 1 (sqrt (/ -1 x)))) in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.052 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.052 * [taylor]: Taking taylor expansion of -1 in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.252 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.252 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in (x) around 0 1.252 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 x))) in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.264 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt x)) in (x) around 0 1.264 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt x)) in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.265 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.276 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in (x) around 0 1.276 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.276 * [taylor]: Taking taylor expansion of -1 in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 x))) in x 1.277 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.277 * [taylor]: Taking taylor expansion of -1 in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.296 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.296 * [approximate]: Taking taylor expansion of (sqrt (/ 1 x)) in (x) around 0 1.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.297 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.303 * [approximate]: Taking taylor expansion of (sqrt x) in (x) around 0 1.303 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.304 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.304 * [taylor]: Taking taylor expansion of x in x 1.309 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in (x) around 0 1.309 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.310 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.310 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.310 * [taylor]: Taking taylor expansion of -1 in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.311 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.311 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.311 * [taylor]: Taking taylor expansion of -1 in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.322 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.322 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in (x) around 0 1.322 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 1.322 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 1.322 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.322 * [taylor]: Taking taylor expansion of 1.0 in x 1.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 2)) x)) in x 1.324 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 2)) x) in x 1.324 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.324 * [taylor]: Taking taylor expansion of x in x 1.332 * [approximate]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.332 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 1.332 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (sqrt (* x (- 1.0 (/ 1 (pow x 2))))) in x 1.336 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.349 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in (x) around 0 1.349 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.349 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.349 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.349 * [taylor]: Taking taylor expansion of 1.0 in x 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.352 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.352 * [taylor]: Taking taylor expansion of -1 in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 (pow x 2)))) (/ 1 (sqrt (/ -1 x)))) in x 1.354 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.354 * [taylor]: Taking taylor expansion of 1.0 in x 1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 x))) in x 1.357 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.357 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.357 * [taylor]: Taking taylor expansion of -1 in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.392 * * * [progress]: simplifying candidates 1.395 * [simplify]: Simplifying using # : (expm1 (+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 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1.0 (* x x))) x)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) x) 1.960 * * * * [regimes]: Trying to branch on (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) from (# #) 1.979 * * * * [regimes]: Trying to branch on (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) from (# #) 1.998 * * * * [regimes]: Trying to branch on x from (# #) 2.008 * * * [regime]: Found split indices: #