10.231 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.054 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.056 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.057 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.058 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.058 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.058 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.109 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.140 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 0.151 * * * [progress]: generating series expansions 0.151 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.151 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.151 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.154 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.154 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.154 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.195 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.195 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.198 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.200 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.216 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.216 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.217 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.217 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.219 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.219 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.219 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.249 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.250 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.250 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.250 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.250 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.250 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.253 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.253 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.253 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.363 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.363 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.363 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.363 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.369 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.369 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.369 * [taylor]: Taking taylor expansion of x in x 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 0.371 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.434 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.434 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.434 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.434 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.441 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.441 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.441 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.523 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 0.523 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.523 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.523 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.537 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.537 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.537 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.540 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.556 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.558 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.558 * [taylor]: Taking taylor expansion of 1.0 in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.581 * * * [progress]: simplifying candidates 0.582 * [simplify]: Simplifying using # : (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 (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 (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)))) (- (+ (/ (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))) (- (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) (+ (* 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)))) 0.589 * * [simplify]: iteration 0 : 443 enodes (cost 652 ) 0.596 * * [simplify]: iteration 1 : 1562 enodes (cost 605 ) 0.623 * * [simplify]: iteration 2 : 5001 enodes (cost 594 ) 0.626 * [simplify]: Simplified to: (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 (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 (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)))) (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)))) (- (- (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))))) (- (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))))) 0.626 * * * [progress]: adding candidates to table 0.849 * * [progress]: iteration 2 / 4 0.849 * * * [progress]: picking best candidate 0.851 * * * * [pick]: Picked # 0.851 * * * [progress]: localizing error 0.863 * * * [progress]: generating rewritten candidates 0.863 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.870 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.875 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 3 2) 0.890 * * * [progress]: generating series expansions 0.890 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.890 * [approximate]: Taking taylor expansion of (/ (fma 1.0 x (* (sqrt (- 1.0 (pow x 2))) x)) (pow x 2)) in (x) around 0 0.890 * [taylor]: Taking taylor expansion of (/ (fma 1.0 x (* (sqrt (- 1.0 (pow x 2))) x)) (pow x 2)) in x 0.890 * [taylor]: Taking taylor expansion of (fma 1.0 x (* (sqrt (- 1.0 (pow x 2))) x)) in x 0.890 * [taylor]: Rewrote expression to (+ (* 1.0 x) (* (sqrt (- 1.0 (pow x 2))) x)) 0.890 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) x) in x 0.890 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.890 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (/ (fma 1.0 x (* (sqrt (- 1.0 (pow x 2))) x)) (pow x 2)) in x 0.896 * [taylor]: Taking taylor expansion of (fma 1.0 x (* (sqrt (- 1.0 (pow x 2))) x)) in x 0.896 * [taylor]: Rewrote expression to (+ (* 1.0 x) (* (sqrt (- 1.0 (pow x 2))) x)) 0.896 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.896 * [taylor]: Taking taylor expansion of 1.0 in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) x) in x 0.896 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.896 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.896 * [taylor]: Taking taylor expansion of 1.0 in x 0.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.954 * [approximate]: Taking taylor expansion of (* (fma 1.0 (/ 1 x) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) (pow x 2)) in (x) around 0 0.954 * [taylor]: Taking taylor expansion of (* (fma 1.0 (/ 1 x) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) (pow x 2)) in x 0.954 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 x) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.954 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 x)) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.954 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.955 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (* (fma 1.0 (/ 1 x) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) (pow x 2)) in x 0.957 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 x) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.958 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 x)) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.958 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.958 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.958 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.985 * [approximate]: Taking taylor expansion of (* (fma 1.0 (/ -1 x) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) (pow x 2)) in (x) around 0 0.985 * [taylor]: Taking taylor expansion of (* (fma 1.0 (/ -1 x) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) (pow x 2)) in x 0.985 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 x) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.986 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 x)) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 0.986 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 x)) in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.986 * [taylor]: Taking taylor expansion of -1 in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.986 * [taylor]: Taking taylor expansion of -1 in x 0.986 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.986 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.986 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (* (fma 1.0 (/ -1 x) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) (pow x 2)) in x 0.989 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 x) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 0.989 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 x)) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 0.989 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 x)) in x 0.989 * [taylor]: Taking taylor expansion of 1.0 in x 0.989 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.989 * [taylor]: Taking taylor expansion of -1 in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.989 * [taylor]: Taking taylor expansion of -1 in x 0.989 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.990 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.990 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.990 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.992 * [taylor]: Taking taylor expansion of x in x 1.018 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.019 * [approximate]: Taking taylor expansion of (log (/ (fma 1.0 x (* (sqrt (- 1.0 (pow x 2))) x)) (pow x 2))) in (x) around 0 1.019 * [taylor]: Taking taylor expansion of (log (/ (fma 1.0 x (* (sqrt (- 1.0 (pow x 2))) x)) (pow x 2))) in x 1.019 * [taylor]: Taking taylor expansion of (/ (fma 1.0 x (* (sqrt (- 1.0 (pow x 2))) x)) (pow x 2)) in x 1.019 * [taylor]: Taking taylor expansion of (fma 1.0 x (* (sqrt (- 1.0 (pow x 2))) x)) in x 1.019 * [taylor]: Rewrote expression to (+ (* 1.0 x) (* (sqrt (- 1.0 (pow x 2))) x)) 1.019 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) x) in x 1.019 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.019 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (log (/ (fma 1.0 x (* (sqrt (- 1.0 (pow x 2))) x)) (pow x 2))) in x 1.025 * [taylor]: Taking taylor expansion of (/ (fma 1.0 x (* (sqrt (- 1.0 (pow x 2))) x)) (pow x 2)) in x 1.025 * [taylor]: Taking taylor expansion of (fma 1.0 x (* (sqrt (- 1.0 (pow x 2))) x)) in x 1.025 * [taylor]: Rewrote expression to (+ (* 1.0 x) (* (sqrt (- 1.0 (pow x 2))) x)) 1.025 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) x) in x 1.025 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.025 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.346 * [approximate]: Taking taylor expansion of (log (* (fma 1.0 (/ 1 x) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) (pow x 2))) in (x) around 0 1.346 * [taylor]: Taking taylor expansion of (log (* (fma 1.0 (/ 1 x) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) (pow x 2))) in x 1.346 * [taylor]: Taking taylor expansion of (* (fma 1.0 (/ 1 x) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) (pow x 2)) in x 1.346 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 x) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.346 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 x)) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 1.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.347 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.347 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of (log (* (fma 1.0 (/ 1 x) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) (pow x 2))) in x 1.352 * [taylor]: Taking taylor expansion of (* (fma 1.0 (/ 1 x) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) (pow x 2)) in x 1.352 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 x) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.352 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 x)) (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) 1.352 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.352 * [taylor]: Taking taylor expansion of 1.0 in x 1.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.352 * [taylor]: Taking taylor expansion of 1.0 in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.416 * [approximate]: Taking taylor expansion of (log (* (fma 1.0 (/ -1 x) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) (pow x 2))) in (x) around 0 1.416 * [taylor]: Taking taylor expansion of (log (* (fma 1.0 (/ -1 x) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) (pow x 2))) in x 1.416 * [taylor]: Taking taylor expansion of (* (fma 1.0 (/ -1 x) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) (pow x 2)) in x 1.416 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 x) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.416 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 x)) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1.416 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 x)) in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.416 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.416 * [taylor]: Taking taylor expansion of -1 in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.417 * [taylor]: Taking taylor expansion of -1 in x 1.417 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.417 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.417 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (log (* (fma 1.0 (/ -1 x) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) (pow x 2))) in x 1.423 * [taylor]: Taking taylor expansion of (* (fma 1.0 (/ -1 x) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) (pow x 2)) in x 1.423 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 x) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) in x 1.423 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 x)) (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))))) 1.423 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 x)) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.423 * [taylor]: Taking taylor expansion of -1 in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 1.423 * [taylor]: Taking taylor expansion of -1 in x 1.423 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.424 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.424 * [taylor]: Taking taylor expansion of 1.0 in x 1.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.424 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.503 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 3 2) 1.503 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.503 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.503 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.503 * [taylor]: Taking taylor expansion of 1.0 in x 1.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.504 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.504 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.504 * [taylor]: Taking taylor expansion of 1.0 in x 1.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.517 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.517 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.517 * [taylor]: Taking taylor expansion of 1.0 in x 1.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.517 * [taylor]: Taking taylor expansion of x in x 1.519 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.519 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.519 * [taylor]: Taking taylor expansion of 1.0 in x 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.535 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.535 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.535 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.535 * [taylor]: Taking taylor expansion of 1.0 in x 1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.535 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.535 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.538 * [taylor]: Taking taylor expansion of 1.0 in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.554 * * * [progress]: simplifying candidates 1.556 * [simplify]: Simplifying using # : (expm1 (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (log1p (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (- (log (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (* (log x) 2)) (- (log (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (* (log x) 2)) (- (log (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (log (pow x 2))) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (exp (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (/ (* (* (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (cbrt (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (cbrt (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (* (* (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (sqrt (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (sqrt (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (- (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (- (pow x 2)) (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (pow (* (cbrt x) (cbrt x)) 2)) (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow (cbrt x) 2)) (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (pow (sqrt x) 2)) (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow (sqrt x) 2)) (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (pow 1 2)) (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x 2)) (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) x) (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) x) (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (pow x 2))) (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (sqrt (pow x 2))) (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (sqrt (pow x 2))) (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) 1) (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x 2)) (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (pow x (/ 2 2))) (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x (/ 2 2))) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow (* (cbrt x) (cbrt x)) 2)) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow (cbrt x) 2)) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow (sqrt x) 2)) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow (sqrt x) 2)) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow 1 2)) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x 2)) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) x) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) x) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (pow x 2))) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (sqrt (pow x 2))) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (sqrt (pow x 2))) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) 1) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x 2)) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x (/ 2 2))) (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x (/ 2 2))) (/ 1 (pow (* (cbrt x) (cbrt x)) 2)) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow (cbrt x) 2)) (/ 1 (pow (sqrt x) 2)) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow (sqrt x) 2)) (/ 1 (pow 1 2)) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)) (/ 1 x) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) x) (/ 1 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (cbrt (pow x 2))) (/ 1 (sqrt (pow x 2))) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (sqrt (pow x 2))) (/ 1 1) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)) (/ 1 (pow x (/ 2 2))) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x (/ 2 2))) (/ 1 (pow x 2)) (/ (pow x 2) (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow (* (cbrt x) (cbrt x)) 2)) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow (sqrt x) 2)) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow 1 2)) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) x) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (sqrt (pow x 2))) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) 1) (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x (/ 2 2))) (/ (pow x 2) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (/ (pow x 2) (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (/ (pow x 2) (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (expm1 (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (log1p (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (log (* (cbrt (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (cbrt (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))))) (log (cbrt (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (log (sqrt (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (log (sqrt (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (log (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (pow (* (cbrt x) (cbrt x)) 2))) (log (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow (cbrt x) 2))) (log (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (pow (sqrt x) 2))) (log (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow (sqrt x) 2))) (log (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (pow 1 2))) (log (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x 2))) (log (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) x)) (log (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) x)) (log (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (* (cbrt (pow x 2)) (cbrt (pow x 2))))) (log (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (pow x 2)))) (log (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (sqrt (pow x 2)))) (log (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (sqrt (pow x 2)))) (log (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) 1)) (log (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x 2))) (log (/ (* (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))))) (pow x (/ 2 2)))) (log (/ (cbrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x (/ 2 2)))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow (* (cbrt x) (cbrt x)) 2))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow (cbrt x) 2))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow (sqrt x) 2))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow (sqrt x) 2))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow 1 2))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x 2))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) x)) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) x)) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (* (cbrt (pow x 2)) (cbrt (pow x 2))))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (cbrt (pow x 2)))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (sqrt (pow x 2)))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (sqrt (pow x 2)))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) 1)) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x 2))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x (/ 2 2)))) (log (/ (sqrt (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (pow x (/ 2 2)))) (log (/ 1 (pow (* (cbrt x) (cbrt x)) 2))) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow (cbrt x) 2))) (log (/ 1 (pow (sqrt x) 2))) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow (sqrt x) 2))) (log (/ 1 (pow 1 2))) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (log (/ 1 x)) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) x)) (log (/ 1 (* (cbrt (pow x 2)) (cbrt (pow x 2))))) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (cbrt (pow x 2)))) (log (/ 1 (sqrt (pow x 2)))) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (sqrt (pow x 2)))) (log (/ 1 1)) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (log (/ 1 (pow x (/ 2 2)))) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x (/ 2 2)))) (log 1) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (log (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (log (/ 1 (pow x 2))) (log (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (log (pow x 2)) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (log (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (exp (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (* (cbrt (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (cbrt (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))))) (cbrt (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (* (* (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (sqrt (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (sqrt (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2)))) (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)))) (- (+ (/ (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))) (- (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 (* -1 (sqrt -1))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (* 1.0 (/ 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)))) 1.564 * * [simplify]: iteration 0 : 565 enodes (cost 1494 ) 1.573 * * [simplify]: iteration 1 : 2066 enodes (cost 1398 ) 1.607 * * [simplify]: iteration 2 : 5001 enodes (cost 1388 ) 1.619 * [simplify]: Simplified to: (expm1 (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (log1p (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2))) (log (/ (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) 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(fma 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (log (* -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))))) 1.620 * * * [progress]: adding candidates to table 1.927 * [progress]: [Phase 3 of 3] Extracting. 1.927 * * [regime]: Finding splitpoints for: (# #) 1.928 * * * [regime-changes]: Trying 3 branch expressions: ((+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) x) 1.928 * * * * [regimes]: Trying to branch on (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) from (# #) 1.942 * * * * [regimes]: Trying to branch on (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) from (# #) 1.964 * * * * [regimes]: Trying to branch on x from (# #) 1.975 * * * [regime]: Found split indices: #