7.027 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.018 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [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 0.031 * [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 0.032 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.032 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.032 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.032 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.033 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.034 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.034 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.035 * * * [progress]: simplifying candidates 0.036 * [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))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) 0.039 * * [simplify]: iteration 0 : 157 enodes (cost 124 ) 0.043 * * [simplify]: iteration 1 : 536 enodes (cost 122 ) 0.054 * * [simplify]: iteration 2 : 2654 enodes (cost 120 ) 0.121 * * [simplify]: iteration 3 : 5001 enodes (cost 119 ) 0.123 * [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 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))))) (+ (+ (/ (neg 0.125) (* (pow x 3) (pow (sqrt -1) 3))) (/ (/ 0.5 (sqrt -1)) x)) (* x (sqrt -1))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (* x (sqrt -1)) (/ (neg 0.5) (* x (sqrt -1))))) 0.123 * * * [progress]: adding candidates to table 0.158 * * [progress]: iteration 2 / 4 0.158 * * * [progress]: picking best candidate 0.164 * * * * [pick]: Picked # 0.164 * * * [progress]: localizing error 0.172 * * * [progress]: generating rewritten candidates 0.172 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.180 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.182 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.185 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.190 * * * [progress]: generating series expansions 0.190 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.190 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (fabs (pow (- 1.0 (pow x 2)) 1/3))) in (x) around 0 0.190 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (fabs (pow (- 1.0 (pow x 2)) 1/3))) in x 0.190 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in x 0.190 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (pow x 2))))) in x 0.190 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (pow x 2)))) in x 0.190 * [taylor]: Taking taylor expansion of 1/6 in x 0.190 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (pow x 2)) 1/3)) in x 0.191 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (pow x 2)) 1/6) (fabs (pow (- 1.0 (pow x 2)) 1/3))) in x 0.191 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in x 0.191 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (pow x 2))))) in x 0.191 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (pow x 2)))) in x 0.191 * [taylor]: Taking taylor expansion of 1/6 in x 0.191 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (pow x 2)) 1/3)) in x 0.197 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 (pow x 2))) 1/6) (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in (x) around 0 0.197 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 (pow x 2))) 1/6) (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 0.197 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 0.197 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.197 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.197 * [taylor]: Taking taylor expansion of 1/6 in x 0.197 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 0.197 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 (pow x 2))) 1/6) (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 0.197 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 0.197 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.197 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.197 * [taylor]: Taking taylor expansion of 1/6 in x 0.197 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.197 * [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 0.198 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 0.204 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 (pow x 2))) 1/6) (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in (x) around 0 0.204 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 (pow x 2))) 1/6) (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 0.204 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 0.204 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.204 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.204 * [taylor]: Taking taylor expansion of 1/6 in x 0.204 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 0.204 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 (pow x 2))) 1/6) (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3))) in x 0.205 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 0.205 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.205 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.205 * [taylor]: Taking taylor expansion of 1/6 in x 0.205 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 (pow x 2))) 1/3)) in x 0.211 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.211 * [approximate]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in (x) around 0 0.211 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in x 0.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (pow x 2))))) in x 0.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (pow x 2)))) in x 0.211 * [taylor]: Taking taylor expansion of 1/3 in x 0.211 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in x 0.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (pow x 2))))) in x 0.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (pow x 2)))) in x 0.211 * [taylor]: Taking taylor expansion of 1/3 in x 0.211 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.215 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in (x) around 0 0.215 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 0.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.215 * [taylor]: Taking taylor expansion of 1/3 in x 0.215 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 0.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.215 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.215 * [taylor]: Taking taylor expansion of 1/3 in x 0.215 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.219 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in (x) around 0 0.219 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 0.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.219 * [taylor]: Taking taylor expansion of 1/3 in x 0.219 * [taylor]: Taking taylor expansion of (log (- 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 0.220 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 0.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.220 * [taylor]: Taking taylor expansion of 1/3 in x 0.220 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.220 * [taylor]: Taking taylor expansion of 1.0 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.224 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.224 * [approximate]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in x 0.224 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (pow x 2))))) in x 0.224 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (pow x 2)))) in x 0.224 * [taylor]: Taking taylor expansion of 1/3 in x 0.224 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 0.224 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/3) in x 0.225 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (pow x 2))))) in x 0.225 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (pow x 2)))) in x 0.225 * [taylor]: Taking taylor expansion of 1/3 in x 0.225 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 0.225 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.231 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in (x) around 0 0.231 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 0.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.231 * [taylor]: Taking taylor expansion of 1/3 in x 0.231 * [taylor]: Taking taylor expansion of (log (- 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 0.231 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 0.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.231 * [taylor]: Taking taylor expansion of 1/3 in x 0.231 * [taylor]: Taking taylor expansion of (log (- 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 0.235 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in (x) around 0 0.235 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 0.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.236 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.236 * [taylor]: Taking taylor expansion of 1/3 in x 0.236 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/3) in x 0.236 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.236 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.236 * [taylor]: Taking taylor expansion of 1/3 in x 0.236 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.240 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.240 * [approximate]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in (x) around 0 0.240 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in x 0.240 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (pow x 2))))) in x 0.240 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (pow x 2)))) in x 0.240 * [taylor]: Taking taylor expansion of 1/6 in x 0.240 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 0.240 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (pow (- 1.0 (pow x 2)) 1/6) in x 0.240 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (pow x 2))))) in x 0.240 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (pow x 2)))) in x 0.241 * [taylor]: Taking taylor expansion of 1/6 in x 0.241 * [taylor]: Taking taylor expansion of (log (- 1.0 (pow x 2))) in x 0.241 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.244 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in (x) around 0 0.244 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.244 * [taylor]: Taking taylor expansion of 1/6 in x 0.244 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 0.244 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.244 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.244 * [taylor]: Taking taylor expansion of 1/6 in x 0.244 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.248 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in (x) around 0 0.248 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 0.248 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.248 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.248 * [taylor]: Taking taylor expansion of 1/6 in x 0.249 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 (pow x 2))) 1/6) in x 0.249 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 (pow x 2)))))) in x 0.249 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 (pow x 2))))) in x 0.249 * [taylor]: Taking taylor expansion of 1/6 in x 0.249 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 (pow x 2)))) in x 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.253 * * * [progress]: simplifying candidates 0.255 * [simplify]: Simplifying using # : (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))) (+ (log (fabs (cbrt (- 1.0 (* x x))))) (log (sqrt (cbrt (- 1.0 (* x x)))))) (log (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (exp (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (* (* (* (fabs (cbrt (- 1.0 (* x x)))) (fabs (cbrt (- 1.0 (* x x))))) (fabs (cbrt (- 1.0 (* x x))))) (* (* (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))))) (* (cbrt (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (cbrt (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))))) (cbrt (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (* (* (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (sqrt (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (sqrt (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (sqrt (- 1.0 (* x x)))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (sqrt (- 1.0 (* x x)))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (* (fabs (cbrt (- 1.0 (* x x)))) (* (cbrt (sqrt (cbrt (- 1.0 (* x x))))) (cbrt (sqrt (cbrt (- 1.0 (* x x))))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (sqrt (- 1.0 (* x x)))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt 1))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (+ (sqrt 1.0) x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x))))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt 1)) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (* (fabs (cbrt (- 1.0 (* x x)))) 1) (* (cbrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- (pow 1.0 3) (pow (* x x) 3))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (log (cbrt (- 1.0 (* x x)))) (exp (cbrt (- 1.0 (* x x)))) (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt 1) (cbrt (- 1.0 (* x x))) (cbrt (+ (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)) (cbrt (- (pow 1.0 3) (pow (* x x) 3))) (cbrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (+ 1.0 (* x x))) (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (* (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (log (cbrt (- 1.0 (* x x)))) (exp (cbrt (- 1.0 (* x x)))) (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt 1) (cbrt (- 1.0 (* x x))) (cbrt (+ (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)) (cbrt (- (pow 1.0 3) (pow (* x x) 3))) (cbrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (+ 1.0 (* x x))) (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (* (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (log (sqrt (cbrt (- 1.0 (* x x))))) (exp (sqrt (cbrt (- 1.0 (* x x))))) (* (cbrt (sqrt (cbrt (- 1.0 (* x x))))) (cbrt (sqrt (cbrt (- 1.0 (* x x)))))) (cbrt (sqrt (cbrt (- 1.0 (* x x))))) (* (* (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (sqrt (cbrt (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (cbrt 1)) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (cbrt (- (sqrt 1.0) x))) (sqrt (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x)))))) (sqrt (cbrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt 1) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- (pow 1.0 3) (pow (* x x) 3)))) (sqrt (cbrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (cbrt (+ 1.0 (* x x)))) (/ 1/3 2) (/ 1 2) (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (- (+ (* (fabs (pow (- 1.0 (pow x 2)) 1/3)) (pow 1.0 1/6)) (* 0.013888888888888888 (* (* (pow x 4) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow 1.0 1/6)))) (+ (* 0.16666666666666666 (* (* (pow x 2) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow 1.0 1/6))) (* 1/12 (* (* (pow x 4) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow (/ 1 (pow 1.0 11)) 1/6))))) (- (* (fabs (pow (- 1.0 (pow x 2)) 1/3)) (exp (* 1/6 (- (log (neg 1)) (* 2 (log (/ 1 x))))))) (+ (* 0.16666666666666666 (/ (* (fabs (pow (- 1.0 (pow x 2)) 1/3)) (exp (* 1/6 (- (log (neg 1)) (* 2 (log (/ 1 x))))))) (pow x 2))) (* 0.06944444444444445 (/ (* (fabs (pow (- 1.0 (pow x 2)) 1/3)) (exp (* 1/6 (- (log (neg 1)) (* 2 (log (/ 1 x))))))) (pow x 4))))) (- (* (exp (* 1/6 (- (log (neg 1)) (* 2 (log (/ -1 x)))))) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (+ (* 0.06944444444444445 (/ (* (exp (* 1/6 (- (log (neg 1)) (* 2 (log (/ -1 x)))))) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow x 4))) (* 0.16666666666666666 (/ (* (exp (* 1/6 (- (log (neg 1)) (* 2 (log (/ -1 x)))))) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow x 2))))) (- (+ (* 0.05555555555555555 (* (pow x 4) (pow 1.0 1/3))) (pow 1.0 1/3)) (+ (* 0.3333333333333333 (* (pow x 2) (pow 1.0 1/3))) (* 1/6 (* (pow x 4) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (exp (* 1/3 (- (log (neg 1)) (* 2 (log (/ 1 x)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (* 2 (log (/ 1 x)))))) (pow x 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (* 2 (log (/ 1 x)))))) (pow x 2))))) (- (exp (* 1/3 (- (log (neg 1)) (* 2 (log (/ -1 x)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (* 2 (log (/ -1 x)))))) (pow x 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (* 2 (log (/ -1 x)))))) (pow x 2))))) (- (+ (* 0.05555555555555555 (* (pow x 4) (pow 1.0 1/3))) (pow 1.0 1/3)) (+ (* 0.3333333333333333 (* (pow x 2) (pow 1.0 1/3))) (* 1/6 (* (pow x 4) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (exp (* 1/3 (- (log (neg 1)) (* 2 (log (/ 1 x)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (* 2 (log (/ 1 x)))))) (pow x 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (* 2 (log (/ 1 x)))))) (pow x 2))))) (- (exp (* 1/3 (- (log (neg 1)) (* 2 (log (/ -1 x)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log (neg 1)) (* 2 (log (/ -1 x)))))) (pow x 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log (neg 1)) (* 2 (log (/ -1 x)))))) (pow x 2))))) (- (+ (pow 1.0 1/6) (* 0.013888888888888888 (* (pow x 4) (pow 1.0 1/6)))) (+ (* 1/12 (* (pow x 4) (pow (/ 1 (pow 1.0 11)) 1/6))) (* 0.16666666666666666 (* (pow x 2) (pow 1.0 1/6))))) (- (exp (* 1/6 (- (log (neg 1)) (* 2 (log (/ 1 x)))))) (+ (* 0.16666666666666666 (/ (exp (* 1/6 (- (log (neg 1)) (* 2 (log (/ 1 x)))))) (pow x 2))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log (neg 1)) (* 2 (log (/ 1 x)))))) (pow x 4))))) (- (exp (* 1/6 (- (log (neg 1)) (* 2 (log (/ -1 x)))))) (+ (* 0.06944444444444445 (/ (exp (* 1/6 (- (log (neg 1)) (* 2 (log (/ -1 x)))))) (pow x 4))) (* 0.16666666666666666 (/ (exp (* 1/6 (- (log (neg 1)) (* 2 (log (/ -1 x)))))) (pow x 2))))) 0.262 * * [simplify]: iteration 0 : 470 enodes (cost 1024 ) 0.271 * * [simplify]: iteration 1 : 1863 enodes (cost 976 ) 0.307 * * [simplify]: iteration 2 : 5001 enodes (cost 961 ) 0.313 * [simplify]: Simplified to: (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))) (log (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (log (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (exp (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (pow (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))) 3) (* (cbrt (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (cbrt (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))))) (cbrt (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (pow (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))) 3) (sqrt (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (sqrt (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (sqrt (- 1.0 (* x x)))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (sqrt (- 1.0 (* x x)))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (* (fabs (cbrt (- 1.0 (* x x)))) (* (cbrt (sqrt (cbrt (- 1.0 (* x x))))) (cbrt (sqrt (cbrt (- 1.0 (* x x))))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (sqrt (- 1.0 (* x x)))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt 1))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (+ (sqrt 1.0) x)))) (* (fabs (cbrt (cbrt (- 1.0 (* x x))))) (fabs (cbrt (- 1.0 (* x x))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (fabs (cbrt (- 1.0 (* x x)))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (cbrt (- 1.0 (* x x)))))) (fabs (cbrt (- 1.0 (* x x)))) (* (cbrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x))))) (* (sqrt (fabs (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- (pow 1.0 3) (pow (* x x) 3))))) (* (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (log (cbrt (- 1.0 (* x x)))) (exp (cbrt (- 1.0 (* x x)))) (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt 1) (pow (- 1.0 (pow x 2)) 1/3) (cbrt (+ (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)) (cbrt (- (pow 1.0 3) (pow (* x x) 3))) (cbrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (+ 1.0 (* x x))) (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (- 1.0 (pow x 2)) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (log (cbrt (- 1.0 (* x x)))) (exp (cbrt (- 1.0 (* x x)))) (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt 1) (pow (- 1.0 (pow x 2)) 1/3) (cbrt (+ (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)) (cbrt (- (pow 1.0 3) (pow (* x x) 3))) (cbrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (cbrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (cbrt (+ 1.0 (* x x))) (* (cbrt (cbrt (- 1.0 (* x x)))) (cbrt (cbrt (- 1.0 (* x x))))) (cbrt (cbrt (- 1.0 (* x x)))) (- 1.0 (pow x 2)) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (log (sqrt (cbrt (- 1.0 (* x x))))) (exp (sqrt (cbrt (- 1.0 (* x x))))) (* (cbrt (sqrt (cbrt (- 1.0 (* x x))))) (cbrt (sqrt (cbrt (- 1.0 (* x x)))))) (cbrt (sqrt (cbrt (- 1.0 (* x x))))) (pow (sqrt (cbrt (- 1.0 (* x x)))) 3) (sqrt (cbrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (sqrt (cbrt (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (cbrt (sqrt (- 1.0 (* x x))))) (sqrt (cbrt 1)) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (cbrt (- (sqrt 1.0) x))) (fabs (cbrt (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x))))) 1 (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- (pow 1.0 3) (pow (* x x) 3)))) (sqrt (cbrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (sqrt (cbrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (cbrt (+ 1.0 (* x x)))) 1/6 1/2 (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (sqrt (sqrt (cbrt (- 1.0 (* x x))))) (+ (* (fabs (pow (- 1.0 (pow x 2)) 1/3)) (pow 1.0 1/6)) (+ (* (* (fabs (pow (- 1.0 (pow x 2)) 1/3)) (pow 1.0 1/6)) (- (* 0.013888888888888888 (pow x 4)) (* 0.16666666666666666 (pow x 2)))) (* -1/12 (* (* (pow x 4) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow (/ 1 (pow 1.0 11)) 1/6))))) (- (* (fabs (pow (- 1.0 (pow x 2)) 1/3)) (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x))))))) (+ (* 0.16666666666666666 (/ (* (fabs (pow (- 1.0 (pow x 2)) 1/3)) (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x))))))) (pow x 2))) (* 0.06944444444444445 (/ (* (fabs (pow (- 1.0 (pow x 2)) 1/3)) (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x))))))) (pow x 4))))) (- (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (+ (* 0.06944444444444445 (/ (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow x 4))) (* 0.16666666666666666 (/ (* (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (fabs (pow (- 1.0 (pow x 2)) 1/3))) (pow x 2))))) (+ (pow 1.0 1/3) (+ (* (pow 1.0 1/3) (- (* 0.05555555555555555 (pow x 4)) (* 0.3333333333333333 (pow x 2)))) (* -1/6 (* (pow x 4) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 x)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 x)))))) (pow x 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 x)))))) (pow x 2))))) (- (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 x)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 x)))))) (pow x 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 x)))))) (pow x 2))))) (+ (pow 1.0 1/3) (+ (* (pow 1.0 1/3) (- (* 0.05555555555555555 (pow x 4)) (* 0.3333333333333333 (pow x 2)))) (* -1/6 (* (pow x 4) (pow (/ 1 (pow 1.0 5)) 1/3))))) (- (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 x)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 x)))))) (pow x 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ 1 x)))))) (pow x 2))))) (- (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 x)))))) (+ (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 x)))))) (pow x 4))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 x)))))) (pow x 2))))) (- (+ (pow 1.0 1/6) (* (pow 1.0 1/6) (- (* 0.013888888888888888 (pow x 4)) (* 0.16666666666666666 (pow x 2))))) (* 1/12 (* (pow x 4) (pow (/ 1 (pow 1.0 11)) 1/6)))) (- (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x)))))) (+ (* 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x)))))) (pow x 2))) (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (* 2 (log (/ 1 x)))))) (pow x 4))))) (- (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (+ (* 0.06944444444444445 (/ (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (pow x 4))) (* 0.16666666666666666 (/ (exp (* 1/6 (- (log -1) (* 2 (log (/ -1 x)))))) (pow x 2))))) 0.314 * * * [progress]: adding candidates to table 0.561 * * [progress]: iteration 3 / 4 0.561 * * * [progress]: picking best candidate 0.564 * * * * [pick]: Picked # 0.564 * * * [progress]: localizing error 0.571 * * * [progress]: generating rewritten candidates 0.571 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.576 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.579 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.586 * * * [progress]: generating series expansions 0.586 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.587 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (pow x 2))) 3) in (x) around 0 0.587 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (pow x 2))) 3) in x 0.587 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (pow x 2))) 3) in x 0.587 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.589 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in (x) around 0 0.589 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 0.589 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 0.590 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.592 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in (x) around 0 0.592 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.595 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.595 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.595 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.595 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.595 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.596 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.596 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.596 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.596 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.598 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.598 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.598 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.600 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.600 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.600 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.600 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.600 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.601 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.601 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.601 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.601 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.603 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.603 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.603 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.603 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.604 * * * [progress]: simplifying candidates 0.606 * [simplify]: Simplifying using # : (* (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)) (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 (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))) (- (+ (* 3/8 (/ (pow x 4) (sqrt 1.0))) (pow (sqrt 1.0) 3)) (* 3/2 (* (pow x 2) (sqrt 1.0)))) (+ (* (pow x 3) (pow (sqrt (neg 1)) 3)) (+ (* 1.5 (* x (sqrt (neg 1)))) (* 0.375 (/ 1 (* x (sqrt (neg 1))))))) (neg (+ (* (pow x 3) (pow (sqrt (neg 1)) 3)) (+ (* 1.5 (* x (sqrt (neg 1)))) (* 0.375 (/ 1 (* x (sqrt (neg 1)))))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) 0.612 * * [simplify]: iteration 0 : 339 enodes (cost 591 ) 0.619 * * [simplify]: iteration 1 : 1305 enodes (cost 569 ) 0.646 * * [simplify]: iteration 2 : 5002 enodes (cost 553 ) 0.651 * [simplify]: Simplified to: (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) (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)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (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)))) (sqrt (+ 1.0 (* x x))) (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)))) (+ (* (sqrt 1.0) (- 1.0 (* 3/2 (pow x 2)))) (* 3/8 (/ (pow x 4) (sqrt 1.0)))) (+ (/ (/ 0.375 (sqrt -1)) x) (+ (* (pow x 3) (pow (sqrt -1) 3)) (* 1.5 (* x (sqrt -1))))) (- (- (* 1 (* (sqrt -1) (pow x 3))) (/ (/ 0.375 (sqrt -1)) x)) (* 1.5 (* x (sqrt -1)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (+ (/ (neg 0.125) (* (pow x 3) (pow (sqrt -1) 3))) (/ (/ 0.5 (sqrt -1)) x)) (* x (sqrt -1))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (* x (sqrt -1)) (/ (neg 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))))) (+ (+ (/ (neg 0.125) (* (pow x 3) (pow (sqrt -1) 3))) (/ (/ 0.5 (sqrt -1)) x)) (* x (sqrt -1))) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (* x (sqrt -1)) (/ (neg 0.5) (* x (sqrt -1))))) 0.651 * * * [progress]: adding candidates to table 0.759 * [progress]: [Phase 3 of 3] Extracting. 0.759 * * [regime]: Finding splitpoints for: (# # #) 0.760 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 0.760 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.786 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# # #) 0.804 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# # #) 0.825 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 0.844 * * * * [regimes]: Trying to branch on x from (# # #) 0.872 * * * [regime]: Found split indices: #