10.391 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [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))) 0.056 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.057 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.058 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.060 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.060 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.060 * * [progress]: iteration 1 / 4 0.060 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.062 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.072 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.076 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.081 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.085 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.085 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.085 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.087 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.123 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.124 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.162 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.165 * [taylor]: Taking taylor expansion of -1 in x 0.165 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.217 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.217 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.217 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.219 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.219 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.260 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.260 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.260 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.260 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.263 * [taylor]: Taking taylor expansion of 1.0 in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.263 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.263 * [taylor]: Taking taylor expansion of 1.0 in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.266 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.289 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.289 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.289 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.292 * [taylor]: Taking taylor expansion of 1.0 in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.292 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.292 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.292 * [taylor]: Taking taylor expansion of 1.0 in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.316 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 0.317 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.317 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.318 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.331 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.331 * [taylor]: Taking taylor expansion of 1.0 in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.351 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.351 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.376 * * * [progress]: simplifying candidates 0.377 * [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)))) 0.383 * * [simplify]: iteration 0 : 439 enodes (cost 438 ) 0.391 * * [simplify]: iteration 1 : 1859 enodes (cost 419 ) 0.425 * * [simplify]: iteration 2 : 5002 enodes (cost 417 ) 0.427 * [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)))) (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2) (- (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (* (- x) x) (fma 1.0 (/ x (sqrt (- 1.0 (* x x)))) x) (* x (/ x (sqrt (- 1.0 (* x x))))) (fma 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))))))) (fma (* 1.0 x) (hypot x (sqrt 1.0)) (* x (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (* x (* x (sqrt (+ 1.0 (* x x))))) (- (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (* (- x) x) (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2) (fma (- 1.0) (/ x (sqrt (- 1.0 (* x x)))) (- x)) (* (- x) (/ x (sqrt (- 1.0 (* x x))))) (- (fma 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))))))) (- (fma 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))))) (fma (/ x 1.0) (sqrt (- 1.0 (* x x))) x) (* (/ x 1.0) x) (- (fma (/ 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))))) (fma 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))))))) (fma 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)) (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 (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)))) (hypot x (sqrt 1.0)) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (+ (/ (sqrt 1.0) x) (- (* 1.0 (/ 1 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) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma 0.5 (/ 1 (* x (sqrt -1))) (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) 0.427 * * * [progress]: adding candidates to table 0.544 * * [progress]: iteration 2 / 4 0.544 * * * [progress]: picking best candidate 0.545 * * * * [pick]: Picked # 0.545 * * * [progress]: localizing error 0.554 * * * [progress]: generating rewritten candidates 0.554 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.560 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2) 0.562 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 2) 0.565 * * * [progress]: generating series expansions 0.565 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.565 * [approximate]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in (x) around 0 0.565 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in x 0.565 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.565 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (- 1.0 (pow x 2))) 1.0) x) in x 0.568 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.568 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.568 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.605 * [approximate]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in (x) around 0 0.605 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 0.605 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.605 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.605 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 0.608 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.608 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.629 * [approximate]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in (x) around 0 0.629 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 0.629 * [taylor]: Taking taylor expansion of -1 in x 0.629 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 0.629 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.629 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.629 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.629 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (* -1 (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x)) in x 0.632 * [taylor]: Taking taylor expansion of -1 in x 0.632 * [taylor]: Taking taylor expansion of (* (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) x) in x 0.632 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.632 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.632 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.661 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2) 0.661 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in (x) around 0 0.661 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.661 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.661 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.662 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.662 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in (x) around 0 0.688 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.688 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.688 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.691 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in (x) around 0 0.701 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.701 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 0.704 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 2) 0.714 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.714 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.714 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.714 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.715 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.715 * [taylor]: Taking taylor expansion of 1.0 in x 0.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.728 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.728 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.728 * [taylor]: Taking taylor expansion of 1.0 in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.748 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.748 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.748 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.772 * * * [progress]: simplifying candidates 0.773 * [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)))) 0.777 * * [simplify]: iteration 0 : 332 enodes (cost 306 ) 0.783 * * [simplify]: iteration 1 : 1295 enodes (cost 271 ) 0.806 * * [simplify]: iteration 2 : 5002 enodes (cost 265 ) 0.807 * [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)) (- (fma 1.0 1.0 1.0) (fma x x (* 1.0 (sqrt (- 1.0 (* x x)))))) (+ (- (* 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)))) (hypot x (sqrt 1.0)) (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) (- 1.0 (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))))) (+ (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))) 1.0) (- 1.0 (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1)))) (- (sqrt 1.0) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (fma 0.5 (/ 1 (* x (sqrt -1))) (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) 0.808 * * * [progress]: adding candidates to table 0.890 * [progress]: [Phase 3 of 3] Extracting. 0.891 * [simplify]: Simplifying using # : (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) 0.892 * * [simplify]: iteration 0 : 14 enodes (cost 7 ) 0.892 * * [simplify]: iteration 1 : 14 enodes (cost 7 ) 0.892 * [simplify]: Simplified to: (log (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x)))))) 2.335 * [regime-testing]: End program error score: 0.05938242280285035