11.527 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.055 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.056 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.057 * * [simplify]: iteration 2 : 16 enodes (cost 7 ) 0.057 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.071 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.076 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.079 * * * [progress]: generating series expansions 0.079 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.079 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.079 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.080 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.117 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.118 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.156 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.156 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.156 * [taylor]: Taking taylor expansion of -1 in x 0.156 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.159 * [taylor]: Taking taylor expansion of -1 in x 0.159 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.213 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.213 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.272 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.272 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.272 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.275 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.303 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.303 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.303 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.306 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.306 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.332 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 0.332 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.347 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.369 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.396 * * * [progress]: simplifying candidates 0.397 * [simplify]: Simplifying using # : (- (sqrt (- 1.0 (* x x)))) (- x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (* 1.0 (- x)) (* x (- (sqrt (- 1.0 (* x x)))))) (* x (- x)) (+ (* 1.0 (/ x (sqrt (- 1.0 (* x x))))) (* x 1)) (* x (/ x (sqrt (- 1.0 (* x x))))) (+ (* 1.0 (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* x (sqrt (- (pow 1.0 3) (pow (* x x) 3))))) (* x (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (+ (* 1.0 (* x (sqrt (+ 1.0 (* x x))))) (* x (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (* x (* x (sqrt (+ 1.0 (* x x))))) (+ (* (- 1.0) x) (* (- x) (sqrt (- 1.0 (* x x))))) (* (- x) x) (+ (* (- 1.0) (- x)) (* (- x) (- (sqrt (- 1.0 (* x x)))))) (* (- x) (- x)) (+ (* (- 1.0) (/ x (sqrt (- 1.0 (* x x))))) (* (- x) 1)) (* (- x) (/ x (sqrt (- 1.0 (* x x))))) (+ (* (- 1.0) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* (- x) (sqrt (- (pow 1.0 3) (pow (* x x) 3))))) (* (- x) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (+ (* (- 1.0) (* x (sqrt (+ 1.0 (* x x))))) (* (- x) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (* (- x) (* x (sqrt (+ 1.0 (* x x))))) (+ (* 1 x) (* (/ x 1.0) (sqrt (- 1.0 (* x x))))) (* (/ x 1.0) x) (+ (* 1 (- x)) (* (/ x 1.0) (- (sqrt (- 1.0 (* x x)))))) (* (/ x 1.0) (- x)) (+ (* 1 (/ x (sqrt (- 1.0 (* x x))))) (* (/ x 1.0) 1)) (* (/ x 1.0) (/ x (sqrt (- 1.0 (* x x))))) (+ (* 1 (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* (/ x 1.0) (sqrt (- (pow 1.0 3) (pow (* x x) 3))))) (* (/ x 1.0) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (+ (* 1 (* x (sqrt (+ 1.0 (* x x))))) (* (/ x 1.0) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (* (/ x 1.0) (* x (sqrt (+ 1.0 (* 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 (sqrt (- 1.0 (* x 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))) (- (/ (sqrt 1.0) 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)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (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)))) 0.402 * * [simplify]: iteration 0 : 410 enodes (cost 451 ) 0.409 * * [simplify]: iteration 1 : 1696 enodes (cost 435 ) 0.444 * * [simplify]: iteration 2 : 5001 enodes (cost 431 ) 0.446 * [simplify]: Simplified to: (- (sqrt (- 1.0 (* x x)))) (- x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2) (* (- x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (- x) x) (+ x (* 1.0 (/ x (sqrt (- 1.0 (* x x)))))) (* x (/ x (sqrt (- 1.0 (* x x))))) (* x (+ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (* 1.0 (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))))) (* x (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* x (+ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* 1.0 (sqrt (+ 1.0 (* x x)))))) (* x (* x (sqrt (+ 1.0 (* x x))))) (* (- x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (- x) x) (* x (+ 1.0 (sqrt (- 1.0 (* x x))))) (pow x 2) (- (+ x (* 1.0 (/ x (sqrt (- 1.0 (* x x))))))) (* (- x) (/ x (sqrt (- 1.0 (* x x))))) (* (- x) (+ (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (* 1.0 (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))))) (* (- x) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* (- x) (+ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (* 1.0 (sqrt (+ 1.0 (* x x)))))) (* (- x) (* x (sqrt (+ 1.0 (* x x))))) (+ (* (/ x 1.0) (sqrt (- 1.0 (* x x)))) x) (* (/ x 1.0) x) (- (+ (* (/ x 1.0) (sqrt (- 1.0 (* x x)))) x)) (* (/ x 1.0) (- x)) (+ (/ x 1.0) (/ x (sqrt (- 1.0 (* x x))))) (* (/ x 1.0) (/ x (sqrt (- 1.0 (* x x))))) (+ (* (/ x 1.0) (sqrt (- (pow 1.0 3) (pow (* x x) 3)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* (/ x 1.0) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (+ (* (/ x 1.0) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (* x (sqrt (+ 1.0 (* x x))))) (* (/ x 1.0) (* x (sqrt (+ 1.0 (* x x))))) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ (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 (sqrt (- 1.0 (* x 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))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) (pow x 2))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (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))))) (+ (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) x)) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.446 * * * [progress]: adding candidates to table 0.560 * * [progress]: iteration 2 / 4 0.560 * * * [progress]: picking best candidate 0.561 * * * * [pick]: Picked # 0.562 * * * [progress]: localizing error 0.571 * * * [progress]: generating rewritten candidates 0.571 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.576 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.578 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 2) 0.581 * * * [progress]: generating series expansions 0.581 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.581 * [approximate]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in (x) around 0 0.581 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in x 0.581 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.581 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.581 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in x 0.584 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.584 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.584 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.623 * [approximate]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in (x) around 0 0.623 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 0.623 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.624 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of 1.0 in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 0.627 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.627 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.627 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.627 * [taylor]: Taking taylor expansion of 1.0 in x 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.650 * [approximate]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in (x) around 0 0.650 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 0.650 * [taylor]: Taking taylor expansion of -1 in x 0.650 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 0.650 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.650 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.650 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.650 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 0.653 * [taylor]: Taking taylor expansion of -1 in x 0.653 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 0.653 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.653 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of 1.0 in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.683 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.683 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in (x) around 0 0.683 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.683 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.684 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in (x) around 0 0.712 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.712 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of 1.0 in x 0.715 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.715 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.715 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.715 * [taylor]: Taking taylor expansion of 1.0 in x 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in (x) around 0 0.726 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.726 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.726 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.729 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 2) 0.739 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.739 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.739 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.740 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.755 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.755 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.755 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.776 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.776 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.776 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.776 * [taylor]: Taking taylor expansion of 1.0 in x 0.776 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.802 * * * [progress]: simplifying candidates 0.803 * [simplify]: Simplifying using # : (* 1 (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (* x (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x))))))) (* 1 (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (* x (- 1.0 (sqrt (- 1.0 (* x x))))) (* (- 1) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (* (- x) (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x))))))) (* (- 1) (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (* (- x) (- 1.0 (sqrt (- 1.0 (* x x))))) (* 1 (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (* (/ x 1) (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x))))))) (* 1 (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (* (/ x 1) (- 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) 1.0) (* (/ 1 x) (sqrt (- 1.0 (* x x)))) (* (/ 1 x) (sqrt (- 1.0 (* x x)))) (* (/ 1 x) 1.0) (* 1.0 (/ 1 x)) (* (sqrt (- 1.0 (* x x))) (/ 1 x)) (* (sqrt (- 1.0 (* x x))) (/ 1 x)) (* 1.0 (/ 1 x)) (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (/ 1 x) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (* (/ 1 x) (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (* 1 (+ 1.0 (sqrt (- 1.0 (* x x))))) (* (- 1) (+ 1.0 (sqrt (- 1.0 (* x x))))) (* 1 (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x)))))) (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))) (- 1.0 (sqrt (- 1.0 (* x 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))) (- (+ (/ (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) 1.0) (+ (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ 1.0 (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) (- 1.0 (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (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)))) 0.807 * * [simplify]: iteration 0 : 317 enodes (cost 294 ) 0.813 * * [simplify]: iteration 1 : 1230 enodes (cost 280 ) 0.835 * * [simplify]: iteration 2 : 5002 enodes (cost 272 ) 0.837 * [simplify]: Simplified to: (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (* (- (+ (* 1.0 1.0) (- 1.0 (* x x))) (* 1.0 (sqrt (- 1.0 (* x x))))) x) (+ (- (* 1.0 1.0) 1.0) (pow x 2)) (* (- 1.0 (sqrt (- 1.0 (* x x)))) x) (- (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (* (- (+ (* 1.0 1.0) (- 1.0 (* x x))) (* 1.0 (sqrt (- 1.0 (* x x))))) (- x)) (+ (- (* 1.0 1.0)) (- 1.0 (* x x))) (* (- x) (- 1.0 (sqrt (- 1.0 (* x x))))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (* (- (+ (* 1.0 1.0) (- 1.0 (* x x))) (* 1.0 (sqrt (- 1.0 (* x x))))) x) (+ (- (* 1.0 1.0) 1.0) (pow x 2)) (* (- 1.0 (sqrt (- 1.0 (* x x)))) x) (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) 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) (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (/ (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) x) (/ (+ (- (* 1.0 1.0) 1.0) (pow x 2)) x) (+ 1.0 (sqrt (- 1.0 (* x x)))) (- (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ 1.0 (sqrt (- 1.0 (* x x)))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (- 1.0 (+ (pow x 2) (* 1.0 (- (sqrt (- 1.0 (* x x))) 1.0)))) (+ (- (* 1.0 1.0) 1.0) (pow x 2)) (- 1.0 (sqrt (- 1.0 (* x 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))) (- (/ 1.0 x) (- (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (/ (sqrt 1.0) x))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (/ 1.0 x) (- (/ (/ 0.5 (sqrt -1)) (pow x 2)) (pow (sqrt -1) 3))) (- (+ (sqrt 1.0) 1.0) (+ (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (+ 1.0 (* x (sqrt -1))) (/ (/ 0.5 (sqrt -1)) x)) (- (- 1.0 (* x (sqrt -1))) (/ (/ 0.5 (sqrt -1)) x)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) x)) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (/ (/ 0.5 (sqrt -1)) x) (- (* x (sqrt -1))))) 0.837 * * * [progress]: adding candidates to table 0.928 * [progress]: [Phase 3 of 3] Extracting. 0.930 * [simplify]: Simplifying using # : (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) 0.930 * * [simplify]: iteration 0 : 14 enodes (cost 7 ) 0.931 * * [simplify]: iteration 1 : 14 enodes (cost 7 ) 0.931 * [simplify]: Simplified to: (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) 2.392 * [regime-testing]: End program error score: 0.05938242280285035