4.612 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.019 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.019 * * [simplify]: iteration 1 : 7 enodes (cost 6 ) 0.020 * * [simplify]: iteration 2 : 11 enodes (cost 6 ) 0.021 * * [simplify]: iteration done : 11 enodes (cost 6 ) 0.021 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.031 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.031 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.031 * [taylor]: Taking taylor expansion of 1.0 in x 0.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.033 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.047 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.050 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.068 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.068 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.093 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying using # : (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)))) 0.095 * * [simplify]: iteration 0 : 67 enodes (cost 246 ) 0.107 * * [simplify]: iteration 1 : 155 enodes (cost 222 ) 0.142 * * [simplify]: iteration 2 : 510 enodes (cost 206 ) 0.303 * * [simplify]: iteration 3 : 2529 enodes (cost 202 ) 1.040 * * [simplify]: iteration done : 5001 enodes (cost 202 ) 1.040 * [simplify]: Simplified to: (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 6))) (sqrt (+ (* (+ 1.0 (* x x)) 1.0) (pow x 4))) (sqrt (- (* 1.0 1.0) (pow x 4))) (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))))) (- (* x (sqrt -1)) (- (/ 0.125 (- (* (sqrt -1) (pow x 3)))) (/ 0.5 (* x (sqrt -1))))) (- (- (/ 0.125 (- (* (sqrt -1) (pow x 3)))) (/ 0.5 (* x (sqrt -1)))) (* x (sqrt -1))) 1.040 * * * [progress]: adding candidates to table 1.080 * * [progress]: iteration 2 / 4 1.080 * * * [progress]: picking best candidate 1.087 * * * * [pick]: Picked # 1.087 * * * [progress]: localizing error 1.095 * * * [progress]: generating rewritten candidates 1.095 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.098 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.103 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.111 * * * [progress]: generating series expansions 1.111 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.111 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.111 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.111 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.111 * [taylor]: Taking taylor expansion of 1.0 in x 1.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.113 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.126 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.126 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.129 * [taylor]: Taking taylor expansion of 1.0 in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.147 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.147 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.170 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.170 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.170 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.170 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.170 * [taylor]: Taking taylor expansion of 1.0 in x 1.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.171 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.171 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.171 * [taylor]: Taking taylor expansion of x in x 1.185 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.185 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.185 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.185 * [taylor]: Taking taylor expansion of 1.0 in x 1.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.185 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.205 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.205 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.208 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.225 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.226 * [approximate]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in (x) around 0 1.226 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in x 1.226 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.226 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in x 1.227 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.227 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.276 * [approximate]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.276 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.276 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.279 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.279 * [taylor]: Taking taylor expansion of 1.0 in x 1.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.282 * [approximate]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 1.282 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.282 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.282 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 1.285 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.285 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.289 * * * [progress]: simplifying candidates 1.290 * [simplify]: Simplifying using # : (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)))) (log (* (cbrt (exp (sqrt (- 1.0 (* x x))))) (cbrt (exp (sqrt (- 1.0 (* x x))))))) (log (cbrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) (log 1) (log (exp (sqrt (- 1.0 (* x x))))) (log (exp (sqrt (- 1.0 (* x x))))) (log (exp (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))))) (log (exp (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))))) (log (exp (sqrt (sqrt (- 1.0 (* x x)))))) (log (exp (sqrt 1))) (log (exp (sqrt (+ (sqrt 1.0) x)))) (log (exp (sqrt (sqrt (- 1.0 (* x x)))))) (log (exp 1)) (log (log (exp (sqrt (- 1.0 (* x x)))))) (exp (log (exp (sqrt (- 1.0 (* x x)))))) (* (cbrt (log (exp (sqrt (- 1.0 (* x x)))))) (cbrt (log (exp (sqrt (- 1.0 (* x x))))))) (cbrt (log (exp (sqrt (- 1.0 (* x x)))))) (* (* (log (exp (sqrt (- 1.0 (* x x))))) (log (exp (sqrt (- 1.0 (* x x)))))) (log (exp (sqrt (- 1.0 (* x x)))))) (sqrt (log (exp (sqrt (- 1.0 (* x x)))))) (sqrt (log (exp (sqrt (- 1.0 (* x x)))))) (exp (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (exp (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (exp (sqrt (sqrt (- 1.0 (* x x))))) (exp (sqrt 1)) (exp (sqrt (+ (sqrt 1.0) x))) (exp (sqrt (sqrt (- 1.0 (* x x))))) (exp 1) (log (exp (sqrt (- 1.0 (* x x))))) (exp (exp (sqrt (- 1.0 (* x x))))) (* (cbrt (exp (sqrt (- 1.0 (* x x))))) (cbrt (exp (sqrt (- 1.0 (* x x)))))) (cbrt (exp (sqrt (- 1.0 (* x x))))) (* (* (exp (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x))))) (exp (sqrt (- 1.0 (* x x))))) (sqrt (exp (sqrt (- 1.0 (* x x))))) (sqrt (exp (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)))) (- (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)))) (- (+ (exp (sqrt 1.0)) (* 1/8 (/ (* (exp (sqrt 1.0)) (pow x 4)) (pow (sqrt 1.0) 2)))) (+ (* 1/8 (/ (* (exp (sqrt 1.0)) (pow x 4)) (pow (sqrt 1.0) 3))) (* 1/2 (/ (* (exp (sqrt 1.0)) (pow x 2)) (sqrt 1.0))))) (exp (sqrt (- 1.0 (pow x 2)))) (exp (sqrt (- 1.0 (pow x 2)))) 1.293 * * [simplify]: iteration 0 : 113 enodes (cost 736 ) 1.310 * * [simplify]: iteration 1 : 237 enodes (cost 645 ) 1.358 * * [simplify]: iteration 2 : 764 enodes (cost 593 ) 1.604 * * [simplify]: iteration 3 : 3885 enodes (cost 577 ) 2.629 * * [simplify]: iteration done : 5000 enodes (cost 577 ) 2.629 * [simplify]: Simplified to: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (pow x 2)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (pow x 2)))) (pow (sqrt (- 1.0 (pow x 2))) 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 (pow x 2))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (+ (pow x 4) (* (+ 1.0 (* x x)) 1.0))) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (* 2 (log (cbrt (exp (sqrt (- 1.0 (* x x))))))) (log (cbrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) 0 (sqrt (- 1.0 (pow x 2))) (sqrt (- 1.0 (pow x 2))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- 1.0 (* x x)))) 1 (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (pow x 2)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (pow x 2)))) (pow (sqrt (- 1.0 (pow x 2))) 3) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (exp (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (exp (fabs (cbrt (- 1.0 (* x x))))) (exp (sqrt (sqrt (- 1.0 (* x x))))) E (exp (sqrt (+ (sqrt 1.0) x))) (exp (sqrt (sqrt (- 1.0 (* x x))))) E (sqrt (- 1.0 (pow x 2))) (exp (exp (sqrt (- 1.0 (* x x))))) (* (cbrt (exp (sqrt (- 1.0 (* x x))))) (cbrt (exp (sqrt (- 1.0 (* x x)))))) (cbrt (exp (sqrt (- 1.0 (* x x))))) (pow (exp (sqrt (- 1.0 (pow x 2)))) 3) (sqrt (exp (sqrt (- 1.0 (* x x))))) (sqrt (exp (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))))) (+ (* x (sqrt -1)) (- (/ 0.5 (* x (sqrt -1))) (/ (/ 0.125 (pow x 3)) (- (sqrt -1))))) (- (/ (/ 0.125 (pow x 3)) (- (sqrt -1))) (+ (* x (sqrt -1)) (/ 0.5 (* x (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (* x (sqrt -1)) (- (/ 0.5 (* x (sqrt -1))) (/ (/ 0.125 (pow x 3)) (- (sqrt -1))))) (- (/ (/ 0.125 (pow x 3)) (- (sqrt -1))) (+ (* x (sqrt -1)) (/ 0.5 (* x (sqrt -1))))) (- (* (/ (* (exp (sqrt 1.0)) (pow x 4)) 1.0) (- 1/8 (/ 1/8 (sqrt 1.0)))) (- (* 1/2 (/ (* (exp (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) (exp (sqrt 1.0)))) (exp (sqrt (- 1.0 (pow x 2)))) (exp (sqrt (- 1.0 (pow x 2)))) 2.629 * * * [progress]: adding candidates to table 2.774 * * [progress]: iteration 3 / 4 2.774 * * * [progress]: picking best candidate 2.777 * * * * [pick]: Picked # 2.777 * * * [progress]: localizing error 2.788 * * * [progress]: generating rewritten candidates 2.788 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.823 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 2.830 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.831 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.841 * * * [progress]: generating series expansions 2.841 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.842 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in (x) around 0 2.842 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 2.842 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 2.842 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.842 * [taylor]: Taking taylor expansion of x in x 2.842 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.842 * [taylor]: Taking taylor expansion of 1.0 in x 2.843 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 2.843 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.843 * [taylor]: Taking taylor expansion of 1.0 in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.849 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 2.849 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 2.849 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.849 * [taylor]: Taking taylor expansion of x in x 2.849 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.849 * [taylor]: Taking taylor expansion of 1.0 in x 2.850 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 2.850 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.850 * [taylor]: Taking taylor expansion of 1.0 in x 2.851 * [taylor]: Taking taylor expansion of x in x 2.878 * [approximate]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 2.878 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.878 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 2.878 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.878 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.878 * [taylor]: Taking taylor expansion of 1.0 in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.879 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.879 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.879 * [taylor]: Taking taylor expansion of 1.0 in x 2.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.880 * [taylor]: Taking taylor expansion of x in x 2.885 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.885 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 2.885 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.885 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.885 * [taylor]: Taking taylor expansion of 1.0 in x 2.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.886 * [taylor]: Taking taylor expansion of x in x 2.886 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.886 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.886 * [taylor]: Taking taylor expansion of 1.0 in x 2.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.887 * [taylor]: Taking taylor expansion of x in x 2.923 * [approximate]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 2.923 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.923 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 2.923 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.923 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.923 * [taylor]: Taking taylor expansion of 1.0 in x 2.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.924 * [taylor]: Taking taylor expansion of x in x 2.924 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.924 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.924 * [taylor]: Taking taylor expansion of 1.0 in x 2.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.925 * [taylor]: Taking taylor expansion of x in x 2.931 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.931 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 2.931 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.931 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.931 * [taylor]: Taking taylor expansion of 1.0 in x 2.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.931 * [taylor]: Taking taylor expansion of x in x 2.932 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.932 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.932 * [taylor]: Taking taylor expansion of 1.0 in x 2.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.932 * [taylor]: Taking taylor expansion of x in x 2.971 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 2.971 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in (x) around 0 2.971 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in x 2.971 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 2.971 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.971 * [taylor]: Taking taylor expansion of 1.0 in x 2.972 * [taylor]: Taking taylor expansion of x in x 2.975 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) x)) in x 2.975 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 2.975 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.975 * [taylor]: Taking taylor expansion of 1.0 in x 2.975 * [taylor]: Taking taylor expansion of x in x 2.993 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 2.993 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.993 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.993 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.993 * [taylor]: Taking taylor expansion of 1.0 in x 2.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.993 * [taylor]: Taking taylor expansion of x in x 2.995 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.995 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.995 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.995 * [taylor]: Taking taylor expansion of 1.0 in x 2.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.996 * [taylor]: Taking taylor expansion of x in x 3.012 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 3.012 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 3.012 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.012 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.012 * [taylor]: Taking taylor expansion of 1.0 in x 3.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.013 * [taylor]: Taking taylor expansion of x in x 3.014 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 3.014 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.014 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.014 * [taylor]: Taking taylor expansion of 1.0 in x 3.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.015 * [taylor]: Taking taylor expansion of x in x 3.033 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.034 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in (x) around 0 3.034 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 3.034 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 3.034 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 3.034 * [taylor]: Taking taylor expansion of x in x 3.034 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.034 * [taylor]: Taking taylor expansion of 1.0 in x 3.035 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 3.035 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.035 * [taylor]: Taking taylor expansion of 1.0 in x 3.035 * [taylor]: Taking taylor expansion of x in x 3.041 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) in x 3.041 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)) in x 3.041 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 3.041 * [taylor]: Taking taylor expansion of x in x 3.041 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.041 * [taylor]: Taking taylor expansion of 1.0 in x 3.042 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) x) in x 3.042 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.042 * [taylor]: Taking taylor expansion of 1.0 in x 3.043 * [taylor]: Taking taylor expansion of x in x 3.067 * [approximate]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 3.067 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 3.067 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 3.067 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.067 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.067 * [taylor]: Taking taylor expansion of 1.0 in x 3.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.068 * [taylor]: Taking taylor expansion of x in x 3.068 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.068 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.068 * [taylor]: Taking taylor expansion of 1.0 in x 3.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.069 * [taylor]: Taking taylor expansion of x in x 3.074 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 3.074 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 3.074 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.074 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.074 * [taylor]: Taking taylor expansion of 1.0 in x 3.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.075 * [taylor]: Taking taylor expansion of x in x 3.075 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.075 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.075 * [taylor]: Taking taylor expansion of 1.0 in x 3.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.076 * [taylor]: Taking taylor expansion of x in x 3.115 * [approximate]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 3.115 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 3.115 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 3.115 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.115 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.115 * [taylor]: Taking taylor expansion of 1.0 in x 3.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.116 * [taylor]: Taking taylor expansion of x in x 3.116 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.116 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.116 * [taylor]: Taking taylor expansion of 1.0 in x 3.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.117 * [taylor]: Taking taylor expansion of x in x 3.122 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x)))) in x 3.122 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (/ 1 x)) (+ (sqrt 1.0) (/ 1 x))) in x 3.123 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.123 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.123 * [taylor]: Taking taylor expansion of 1.0 in x 3.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.123 * [taylor]: Taking taylor expansion of x in x 3.123 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.124 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.124 * [taylor]: Taking taylor expansion of 1.0 in x 3.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.124 * [taylor]: Taking taylor expansion of x in x 3.159 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 3.160 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in (x) around 0 3.160 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 3.160 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 3.160 * [taylor]: Taking taylor expansion of x in x 3.160 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.160 * [taylor]: Taking taylor expansion of 1.0 in x 3.163 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 3.163 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 3.163 * [taylor]: Taking taylor expansion of x in x 3.163 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.163 * [taylor]: Taking taylor expansion of 1.0 in x 3.181 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 3.181 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 3.181 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.181 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.181 * [taylor]: Taking taylor expansion of 1.0 in x 3.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.182 * [taylor]: Taking taylor expansion of x in x 3.183 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 3.183 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.183 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.183 * [taylor]: Taking taylor expansion of 1.0 in x 3.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.184 * [taylor]: Taking taylor expansion of x in x 3.202 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 3.202 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 3.202 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.202 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.202 * [taylor]: Taking taylor expansion of 1.0 in x 3.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.203 * [taylor]: Taking taylor expansion of x in x 3.205 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 3.205 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.205 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.205 * [taylor]: Taking taylor expansion of 1.0 in x 3.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.206 * [taylor]: Taking taylor expansion of x in x 3.221 * * * [progress]: simplifying candidates 3.223 * [simplify]: Simplifying using # : (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) (+ (log (sqrt (+ (sqrt 1.0) x))) (log (sqrt (- (sqrt 1.0) x)))) (log (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (* (* (sqrt (- (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x)))) (* (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (+ (sqrt 1.0) x) (- (sqrt 1.0) x)) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3)))) (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x))))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3)))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x))))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (+ (sqrt 1.0) x)) (* (cbrt (sqrt (- (sqrt 1.0) x))) (cbrt (sqrt (- (sqrt 1.0) x))))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x))))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt 1)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt 1)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- (sqrt 1.0) x)))) (* (sqrt (+ (sqrt 1.0) x)) 1) (* (cbrt (sqrt (+ (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x)))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (sqrt 1.0) x))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (sqrt 1.0) x))) (log (sqrt (- (sqrt 1.0) x))) (exp (sqrt (- (sqrt 1.0) x))) (* (cbrt (sqrt (- (sqrt 1.0) x))) (cbrt (sqrt (- (sqrt 1.0) x)))) (cbrt (sqrt (- (sqrt 1.0) x))) (* (* (sqrt (- (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (sqrt (- (sqrt 1.0) x))) (sqrt (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)))) (sqrt (cbrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt 1) (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (- (sqrt (sqrt 1.0)) (sqrt x))) (sqrt 1) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* x x) (* (sqrt 1.0) x)))) (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (+ (sqrt 1.0) x)) (/ 1 2) (sqrt (sqrt (- (sqrt 1.0) x))) (sqrt (sqrt (- (sqrt 1.0) x))) (log (* (cbrt (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))))) (cbrt (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))))))) (log (cbrt (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))))) (log (sqrt (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))))) (log (sqrt (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))))) (log 1) (log (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))))) (log (exp (sqrt (+ (sqrt 1.0) x)))) (log (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))))) (log (exp (sqrt (+ (sqrt 1.0) x)))) (log (log (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))))) (exp (log (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))))) (* (cbrt (log (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))))) (cbrt (log (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))))))) (cbrt (log (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)))))) (* (* (log (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- 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3))))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (pow (sqrt 1.0) 2) (* x (sqrt -1)))) (* x (sqrt -1)))) (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 3.228 * * [simplify]: iteration 0 : 161 enodes (cost 1669 ) 3.255 * * [simplify]: iteration 1 : 338 enodes (cost 1429 ) 3.320 * * [simplify]: iteration 2 : 1119 enodes (cost 1371 ) 3.695 * * [simplify]: iteration 3 : 4995 enodes (cost 1343 ) 5.289 * * [simplify]: iteration done : 5000 enodes (cost 1343 ) 5.290 * [simplify]: Simplified to: (- 1.0 (pow x 2)) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (- 1.0 (pow x 2)) (log 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2) (sqrt 1.0))))) (- (+ (* (/ 1.0 (* x (sqrt -1))) 1/2) (* x (sqrt -1))) (* (/ (/ (* 1.0 1.0) (pow x 3)) (sqrt -1)) -1/8)) (- (- (* (/ (/ (* 1.0 1.0) (pow x 3)) (sqrt -1)) -1/8) (* x (sqrt -1))) (* (/ 1.0 (* x (sqrt -1))) 1/2)) (- (sqrt (sqrt 1.0)) (+ (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0))))))) (- (+ (+ (* (/ (sqrt 1.0) x) (- +nan.0 (/ +nan.0 x))) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) +nan.0)) (- (+ (+ (* (/ (sqrt 1.0) x) (- +nan.0 (/ +nan.0 x))) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) +nan.0)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* (/ 1.0 (* x (sqrt -1))) 1/2) (* x (sqrt -1))) (* (/ (/ (* 1.0 1.0) (pow x 3)) (sqrt -1)) -1/8)) (- (- (* (/ (/ (* 1.0 1.0) (pow x 3)) (sqrt -1)) -1/8) (* x (sqrt -1))) (* (/ 1.0 (* x (sqrt -1))) 1/2)) (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (- (+ (+ (* (/ (sqrt 1.0) x) (- +nan.0 (/ +nan.0 x))) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) +nan.0)) (- (+ (+ (* (/ (sqrt 1.0) x) (- +nan.0 (/ +nan.0 x))) (- (/ (/ +nan.0 x) x) (/ +nan.0 x))) +nan.0)) 5.290 * * * [progress]: adding candidates to table 5.568 * [progress]: [Phase 3 of 3] Extracting. 5.568 * * [regime]: Finding splitpoints for: (# #) 5.568 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 5.568 * * * * [regimes]: Trying to branch on (* x x) from (# #) 5.578 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 5.586 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 5.598 * * * * [regimes]: Trying to branch on x from (# #) 5.611 * * * [regime]: Found split indices: #