5.673 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.050 * [progress]: [Phase 2 of 3] Improving. 0.050 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.050 * [simplify]: Sending expressions to egg_math: (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) 0.052 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.054 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.055 * * [simplify]: iteration 2 : 16 enodes (cost 7 ) 0.055 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.055 * * [progress]: iteration 1 / 4 0.055 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.079 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2 1) 0.086 * * * [progress]: generating series expansions 0.086 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.086 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.086 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.086 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [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 0.088 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.088 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [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 0.123 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.160 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.160 * [taylor]: Taking taylor expansion of -1 in x 0.160 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.163 * [taylor]: Taking taylor expansion of -1 in x 0.163 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.213 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2 1) 0.213 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.228 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.228 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.228 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.228 * [taylor]: Taking taylor expansion of 1.0 in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.231 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.248 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.248 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.270 * * * [progress]: simplifying candidates 0.272 * [simplify]: Simplifying using # : (- (log (sqrt (- 1.0 (* x x)))) (log x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (/ (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (* (* x x) x)) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (* (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 1) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 1) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (+ (sqrt 1.0) x)) 1) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) 1) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ 1 1) (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (/ (sqrt (- 1.0 (* x x))) 1) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x 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)))) (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) (+ (* 1/2 (/ 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) (+ (* 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)))) 0.272 * [simplify]: Sending expressions to egg_math: (- (log (sqrt (- h0 (* h1 h1)))) (log h1)) (log (/ (sqrt (- h0 (* h1 h1))) h1)) (exp (/ (sqrt (- h0 (* h1 h1))) h1)) (/ (* (* (sqrt (- h0 (* h1 h1))) (sqrt (- h0 (* h1 h1)))) (sqrt (- h0 (* h1 h1)))) (* (* h1 h1) h1)) (* (cbrt (/ (sqrt (- h0 (* h1 h1))) h1)) (cbrt (/ (sqrt (- h0 (* h1 h1))) h1))) (cbrt (/ (sqrt (- h0 (* h1 h1))) h1)) (* (* (/ (sqrt (- h0 (* h1 h1))) h1) (/ (sqrt (- h0 (* h1 h1))) h1)) (/ (sqrt (- h0 (* h1 h1))) h1)) (sqrt (/ (sqrt (- h0 (* h1 h1))) h1)) (sqrt (/ (sqrt (- h0 (* h1 h1))) h1)) (- (sqrt (- h0 (* h1 h1)))) (- h1) (/ (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt h1)) (/ (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) (sqrt h1)) (/ (cbrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) 1) (/ (cbrt (sqrt (- h0 (* h1 h1)))) h1) (/ (sqrt (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (cbrt (- h0 (* h1 h1)))) (cbrt h1)) (/ (sqrt (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) (sqrt h1)) (/ (sqrt (cbrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) 1) (/ (sqrt (cbrt (- h0 (* h1 h1)))) h1) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (cbrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) 1) (/ (sqrt (sqrt (- h0 (* h1 h1)))) h1) (/ (sqrt 1) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (* h1 h1))) (cbrt h1)) (/ (sqrt 1) (sqrt h1)) (/ (sqrt (- h0 (* h1 h1))) (sqrt h1)) (/ (sqrt 1) 1) (/ (sqrt (- h0 (* h1 h1))) h1) (/ (sqrt (+ (sqrt h0) h1)) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- (sqrt h0) h1)) (cbrt h1)) (/ (sqrt (+ (sqrt h0) h1)) (sqrt h1)) (/ (sqrt (- (sqrt h0) h1)) (sqrt h1)) (/ (sqrt (+ (sqrt h0) h1)) 1) (/ (sqrt (- (sqrt h0) h1)) h1) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (cbrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt h1)) (/ (sqrt (sqrt (- h0 (* h1 h1)))) 1) (/ (sqrt (sqrt (- h0 (* h1 h1)))) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (* h1 h1))) (cbrt h1)) (/ 1 (sqrt h1)) (/ (sqrt (- h0 (* h1 h1))) (sqrt h1)) (/ 1 1) (/ (sqrt (- h0 (* h1 h1))) h1) (/ 1 h1) (/ h1 (sqrt (- h0 (* h1 h1)))) (/ (sqrt (- h0 (* h1 h1))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (- h0 (* h1 h1))) (sqrt h1)) (/ (sqrt (- h0 (* h1 h1))) 1) (/ h1 (cbrt (sqrt (- h0 (* h1 h1))))) (/ h1 (sqrt (cbrt (- h0 (* h1 h1))))) (/ h1 (sqrt (sqrt (- h0 (* h1 h1))))) (/ h1 (sqrt (- h0 (* h1 h1)))) (/ h1 (sqrt (- (sqrt h0) h1))) (/ h1 (sqrt (sqrt (- h0 (* h1 h1))))) (/ h1 (sqrt (- h0 (* h1 h1)))) (* h1 (sqrt (+ (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (* h1 (sqrt (+ h0 (* h1 h1)))) (log (sqrt (- h0 (* h1 h1)))) (exp (sqrt (- h0 (* h1 h1)))) (* (cbrt (sqrt (- h0 (* h1 h1)))) (cbrt (sqrt (- h0 (* h1 h1))))) (cbrt (sqrt (- h0 (* h1 h1)))) (* (* (sqrt (- h0 (* h1 h1))) (sqrt (- h0 (* h1 h1)))) (sqrt (- h0 (* h1 h1)))) (sqrt (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) (sqrt (cbrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt 1) (sqrt (- h0 (* h1 h1))) (sqrt (+ (sqrt h0) h1)) (sqrt (- (sqrt h0) h1)) (sqrt (- (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (+ (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (+ h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1)))) (- (/ (sqrt h0) h1) (+ (* 1/2 (/ h1 (sqrt h0))) (* 1/8 (/ (pow h1 3) (pow (sqrt h0) 3))))) (- (+ (* h2 (/ 1 (* (pow h1 2) (sqrt -1)))) (sqrt -1)) (* h3 (/ 1 (* (pow h1 4) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h1 4) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* (pow h1 2) (sqrt -1)))) (sqrt -1))) (- (sqrt h0) (+ (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3))) (* 1/2 (/ (pow h1 2) (sqrt h0))))) (- (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1))) (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1)))) 0.276 * * [simplify]: iteration 0 : 294 enodes (cost 529 ) 0.282 * * [simplify]: iteration 1 : 1051 enodes (cost 510 ) 0.303 * * [simplify]: iteration 2 : 5001 enodes (cost 504 ) 0.306 * [simplify]: Simplified to: (log (/ (sqrt (- 1.0 (* x x))) x)) (log (/ (sqrt (- 1.0 (* x x))) x)) (exp (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (pow (/ (sqrt (- 1.0 (* x x))) x) 3) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (sqrt (/ (sqrt (- 1.0 (* x x))) x)) (- (sqrt (- 1.0 (* x x)))) (- x) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (sqrt x)) (/ (cbrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (/ (cbrt (sqrt (- 1.0 (* x x)))) x) (/ (/ (fabs (cbrt (- 1.0 (* x x)))) (cbrt x)) (cbrt x)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (cbrt x)) (/ (fabs (cbrt (- 1.0 (* x x)))) (* (sqrt x) 1)) (/ (sqrt (cbrt (- 1.0 (* x x)))) (pow x 1/2)) (fabs (cbrt (- 1.0 (* x x)))) (/ (sqrt (cbrt (- 1.0 (* x x)))) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (+ (sqrt 1.0) x)) (* (cbrt x) (cbrt x))) (/ (sqrt (- (sqrt 1.0) x)) (cbrt x)) (/ (sqrt (+ (sqrt 1.0) x)) (sqrt x)) (/ (sqrt (- (sqrt 1.0) x)) (pow x 1/2)) (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x) (/ (sqrt (sqrt (- 1.0 (* x x)))) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt (- 1.0 (* x x)))) (cbrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (/ (sqrt (sqrt (- 1.0 (* x x)))) (sqrt x)) (sqrt (sqrt (- 1.0 (* x x)))) (/ (sqrt (sqrt (- 1.0 (* x x)))) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) 1 (/ (sqrt (- 1.0 (* x x))) x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (/ (sqrt (- 1.0 (* x x))) (* (cbrt x) (cbrt x))) (/ (sqrt (- 1.0 (* x x))) (sqrt x)) (sqrt (- 1.0 (* x x))) (/ x (cbrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (cbrt (- 1.0 (* x x))))) (/ x (sqrt (sqrt (- 1.0 (* x x))))) (/ x (sqrt (- 1.0 (* x x)))) (/ x (sqrt (- (sqrt 1.0) x))) (/ x (sqrt (sqrt (- 1.0 (* x 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)))) (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)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) (pow x 2))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 4)) (- (/ (/ 0.5 (sqrt -1)) (pow x 2)) (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))))) (+ (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) x)) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (/ (/ 0.5 (sqrt -1)) x) (- (* x (sqrt -1))))) 0.306 * * * [progress]: adding candidates to table 0.468 * [progress]: [Phase 3 of 3] Extracting. 0.470 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.470 * [simplify]: Sending expressions to egg_math: (log (+ (/ h0 h1) (/ (sqrt (- h0 (* h1 h1))) h1))) 0.471 * * [simplify]: iteration 0 : 10 enodes (cost 7 ) 0.471 * * [simplify]: iteration 1 : 10 enodes (cost 7 ) 0.471 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 2.020 * [regime-testing]: End program error score: 0.03512939117389674