7.865 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.022 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.039 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.039 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.039 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.043 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.056 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.056 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.077 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.079 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.096 * * * [progress]: simplifying candidates 0.097 * [simplify]: Simplifying using # : (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) (+ (* 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)))) 0.100 * * [simplify]: iteration 0 : 165 enodes (cost 131 ) 0.104 * * [simplify]: iteration 1 : 568 enodes (cost 128 ) 0.116 * * [simplify]: iteration 2 : 2782 enodes (cost 126 ) 0.180 * * [simplify]: iteration 3 : 5001 enodes (cost 123 ) 0.181 * [simplify]: Simplified to: (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)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma (- (/ 0.125 (pow x 3))) (/ -1 (sqrt -1)) (fma (sqrt -1) x (/ (/ 0.5 (sqrt -1)) x))) (fma (/ 0.125 (* (sqrt -1) (pow x 3))) -1 (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) 0.181 * * * [progress]: adding candidates to table 0.228 * * [progress]: iteration 2 / 4 0.228 * * * [progress]: picking best candidate 0.229 * * * * [pick]: Picked # 0.229 * * * [progress]: localizing error 0.236 * * * [progress]: generating rewritten candidates 0.236 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.244 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.254 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.263 * * * [progress]: generating series expansions 0.263 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.264 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (pow x 2))) 3) in (x) around 0 0.264 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (pow x 2))) 3) in x 0.264 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.264 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (pow x 2))) 3) in x 0.265 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.265 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of 1.0 in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.309 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 0.309 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 0.311 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.362 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 0.362 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 0.364 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.413 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.413 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.413 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.414 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.427 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.447 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.467 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.467 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.467 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.467 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.468 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.468 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.481 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.481 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.504 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.506 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.522 * * * [progress]: simplifying candidates 0.524 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (- 1.0 (* x x))) 3)) (log1p (pow (sqrt (- 1.0 (* x x))) 3)) (* (log (sqrt (- 1.0 (* x x)))) 3) (* (log (sqrt (- 1.0 (* x x)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (- 1.0 (* x x))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (- 1.0 (* x x))) (sqrt 3)) (pow (sqrt (- 1.0 (* x x))) 1) (pow (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 3) (pow (cbrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 3) (pow (sqrt (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt 1) 3) (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (+ (sqrt 1.0) x)) 3) (pow (sqrt (- (sqrt 1.0) x)) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow 1 3) (pow (sqrt (- 1.0 (* x x))) 3) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (log (pow (sqrt (- 1.0 (* x x))) 3)) (exp (pow (sqrt (- 1.0 (* x x))) 3)) (* (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (* (* (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (- 1.0 (* x x))) 3)) (pow (sqrt (- 1.0 (* x x))) 3)) (pow (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 3) (pow (cbrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 3) (pow (sqrt (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt 1) 3) (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (+ (sqrt 1.0) x)) 3) (pow (sqrt (- (sqrt 1.0) x)) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow 1 3) (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (- (pow 1.0 3) (pow (* x x) 3))) 3) (pow (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) 3) (pow (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) 3) (pow (sqrt (+ 1.0 (* x x))) 3) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (/ 3 2) (sqrt (pow (sqrt (- 1.0 (* x x))) 3)) (sqrt (pow (sqrt (- 1.0 (* x x))) 3)) (pow (sqrt (- 1.0 (* x x))) (/ 3 2)) (pow (sqrt (- 1.0 (* x x))) (/ 3 2)) (expm1 (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (log1p (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (log (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (exp (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (pow (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 3)) (cbrt (pow (cbrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 3)) (cbrt (pow (sqrt (cbrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (+ (sqrt 1.0) x)) 3)) (cbrt (pow (sqrt (- (sqrt 1.0) x)) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (* (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)))) (cbrt (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (pow (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 3)) (cbrt (pow (cbrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 3)) (cbrt (pow (sqrt (cbrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (+ (sqrt 1.0) x)) 3)) (cbrt (pow (sqrt (- (sqrt 1.0) x)) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (sqrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt 1) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) (/ 3 2))) (cbrt (pow (sqrt (- 1.0 (* x x))) (/ 3 2))) (cbrt (pow (sqrt (- (pow 1.0 3) (pow (* x x) 3))) 3)) (cbrt (pow (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) 3)) (cbrt (pow (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) 3)) (cbrt (pow (sqrt (+ 1.0 (* x x))) 3)) (* (cbrt (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (cbrt (pow (sqrt (- 1.0 (* x x))) 3)))) (cbrt (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (* (* (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (sqrt (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (sqrt (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (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)))) (- (+ (* 3/8 (/ (pow x 4) (sqrt 1.0))) (pow (sqrt 1.0) 3)) (* 3/2 (* (pow x 2) (sqrt 1.0)))) (+ (* 1.5 (* x (sqrt -1))) (+ (* 0.375 (/ 1 (* x (sqrt -1)))) (* (pow x 3) (pow (sqrt -1) 3)))) (- (+ (* 1.5 (* x (sqrt -1))) (+ (* 0.375 (/ 1 (* x (sqrt -1)))) (* (pow x 3) (pow (sqrt -1) 3))))) (- (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)))) (- (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)))) 0.530 * * [simplify]: iteration 0 : 354 enodes (cost 613 ) 0.537 * * [simplify]: iteration 1 : 1359 enodes (cost 589 ) 0.563 * * [simplify]: iteration 2 : 5001 enodes (cost 573 ) 0.566 * [simplify]: Simplified to: (expm1 (pow (sqrt (- 1.0 (* x x))) 3)) (log1p (pow (sqrt (- 1.0 (* x x))) 3)) (log (pow (sqrt (- 1.0 (* x x))) 3)) (log (pow (sqrt (- 1.0 (* x x))) 3)) 3/2 3 3/2 (pow (sqrt (- 1.0 (* x x))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (- 1.0 (* x x))) (sqrt 3)) (sqrt (- 1.0 (* x x))) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) (pow (fabs (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (- 1.0 (* x x))) 3/2) (pow (sqrt (- 1.0 (* x x))) 3/2) 1 (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (+ (sqrt 1.0) x)) 3) (pow (sqrt (- (sqrt 1.0) x)) 3) (pow (sqrt (- 1.0 (* x x))) 3/2) (pow (sqrt (- 1.0 (* x x))) 3/2) 1 (pow (sqrt (- 1.0 (* x x))) 3) (- 1.0 (* x x)) (log (pow (sqrt (- 1.0 (* x x))) 3)) (exp (pow (sqrt (- 1.0 (* x x))) 3)) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) (pow (pow (sqrt (- 1.0 (* x x))) 3) 3) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) (pow (fabs (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (- 1.0 (* x x))) 3/2) (pow (sqrt (- 1.0 (* x x))) 3/2) 1 (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (+ (sqrt 1.0) x)) 3) (pow (sqrt (- (sqrt 1.0) x)) 3) (pow (sqrt (- 1.0 (* x x))) 3/2) (pow (sqrt (- 1.0 (* x x))) 3/2) 1 (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (- (pow 1.0 3) (pow (* x x) 3))) 3) (pow (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) 3) (pow (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) 3) (pow (sqrt (+ 1.0 (* x x))) 3) (- 1.0 (* x x)) 3/2 (sqrt (pow (sqrt (- 1.0 (* x x))) 3)) (sqrt (pow (sqrt (- 1.0 (* x x))) 3)) (pow (sqrt (- 1.0 (* x x))) 3/2) (pow (sqrt (- 1.0 (* x x))) 3/2) (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 (- 1.0 (* x x))) (cbrt (sqrt (- 1.0 (* x x)))) (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 (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (cbrt (sqrt (- 1.0 (* x x)))) (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 (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (cbrt (sqrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (sqrt (pow (sqrt (- 1.0 (* x x))) 3))) 1 (sqrt (- 1.0 (* x x))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (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)) (cbrt (- 1.0 (* x x))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (cbrt (- 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 3/8 (/ (pow x 4) (sqrt 1.0)) (* (sqrt 1.0) (- 1.0 (* 3/2 (pow x 2))))) (fma (* 1.5 (sqrt -1)) x (fma (* (pow x 3) -1) (sqrt -1) (/ (/ 0.375 (sqrt -1)) x))) (- (- (* 1.5 (* x (sqrt -1)))) (fma 0.375 (/ 1 (* x (sqrt -1))) (* (pow x 3) (pow (sqrt -1) 3)))) (- (sqrt 1.0) (+ (* 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))))) (- (sqrt 1.0) (+ (* 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))))) 0.567 * * * [progress]: adding candidates to table 0.747 * [progress]: [Phase 3 of 3] Extracting. 0.749 * [simplify]: Simplifying using # : (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) 0.749 * * [simplify]: iteration 0 : 8 enodes (cost 5 ) 0.749 * [simplify]: Simplified to: (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) 1.366 * [regime-testing]: End program error score: 0.01629696212170753