21.020 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.025 * * [simplify]: iteration 0 : 90 enodes (cost 6 ) 0.025 * * [simplify]: iteration 1 : 90 enodes (cost 6 ) 0.025 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.034 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.038 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.038 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.038 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.038 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.038 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.039 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.040 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.040 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.040 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.041 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.042 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.042 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0 0.042 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.043 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * * * [progress]: simplifying candidates 0.046 * [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)))) (/ (exp 1.0) (exp (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))) (neg (* x x)) (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)) (+ (sqrt 1.0) x) (- (sqrt 1.0) 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))))))) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) 0.078 * * [simplify]: iteration 0 : 4986 enodes (cost 310 ) 0.078 * * [simplify]: iteration 1 : 4986 enodes (cost 310 ) 0.080 * [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 (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (+ (pow x 4) (* 1.0 (+ 1.0 (* x x))))) (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)))) (exp (- 1.0 (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (pow (- 1.0 (* x x)) 3) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow x 6)) (+ (pow x 4) (* 1.0 (+ 1.0 (* x x)))) (* x (neg x)) (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)) (+ x (sqrt 1.0)) (- (sqrt 1.0) x) (+ (sqrt 1.0) (* (* (/ x (sqrt 1.0)) x) (- -1/2 (* (/ x (/ 1.0 x)) 1/8)))) (+ (* x (sqrt -1)) (+ (/ 0.5 (* x (sqrt -1))) (/ 0.125 (* (sqrt -1) (pow x 3))))) (- (* (/ 1 (sqrt -1)) (- (/ 0.125 (neg (pow x 3))) (/ 0.5 x))) (* x (sqrt -1))) (- 1.0 (* x x)) (- 1.0 (* x x)) (- 1.0 (* x x)) 0.080 * * * [progress]: adding candidates to table 0.128 * * [progress]: iteration 2 / 4 0.129 * * * [progress]: picking best candidate 0.134 * * * * [pick]: Picked # 0.134 * * * [progress]: localizing error 0.142 * * * [progress]: generating rewritten candidates 0.142 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.146 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.149 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.153 * * * [progress]: generating series expansions 0.153 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.153 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.153 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.154 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.154 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.155 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.156 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.156 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.157 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.157 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.160 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.161 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 0.161 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0 0.161 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.163 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.165 * * * [progress]: simplifying candidates 0.166 * [simplify]: Simplifying using # : (log (sqrt (log (exp (- 1.0 (* x x)))))) (exp (sqrt (log (exp (- 1.0 (* x x)))))) (* (cbrt (sqrt (log (exp (- 1.0 (* x x)))))) (cbrt (sqrt (log (exp (- 1.0 (* x x))))))) (cbrt (sqrt (log (exp (- 1.0 (* x x)))))) (* (* (sqrt (log (exp (- 1.0 (* x x))))) (sqrt (log (exp (- 1.0 (* x x)))))) (sqrt (log (exp (- 1.0 (* x x)))))) (sqrt 1) (sqrt (log (exp (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (log (exp (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (log (exp (sqrt (- 1.0 (* x x)))))) (sqrt (- 1.0 (* x x))) (sqrt (log (exp 1))) (sqrt (- (sqrt 1.0) x)) (sqrt (log (exp (+ (sqrt 1.0) x)))) (sqrt (* (cbrt (log (exp (- 1.0 (* x x))))) (cbrt (log (exp (- 1.0 (* x x))))))) (sqrt (cbrt (log (exp (- 1.0 (* x x)))))) (sqrt (sqrt (log (exp (- 1.0 (* x x)))))) (sqrt (sqrt (log (exp (- 1.0 (* x x)))))) (sqrt 1) (sqrt (log (exp (- 1.0 (* x x))))) (/ 1 2) (sqrt (sqrt (log (exp (- 1.0 (* x x)))))) (sqrt (sqrt (log (exp (- 1.0 (* x x)))))) (log (exp 1.0)) (log (exp (neg (* x x)))) (log (* (cbrt (exp (- 1.0 (* x x)))) (cbrt (exp (- 1.0 (* x x)))))) (log (cbrt (exp (- 1.0 (* x x))))) (log (sqrt (exp (- 1.0 (* x x))))) (log (sqrt (exp (- 1.0 (* x x))))) (log 1) (log (exp (- 1.0 (* x x)))) (log (exp 1.0)) (log (exp (* x x))) (log (exp (- 1.0 (* x x)))) (log (exp (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (log (exp (sqrt (- 1.0 (* x x))))) (log (exp 1)) (log (exp (+ (sqrt 1.0) x))) (log (log (exp (- 1.0 (* x x))))) (exp (log (exp (- 1.0 (* x x))))) (* (cbrt (log (exp (- 1.0 (* x x))))) (cbrt (log (exp (- 1.0 (* x x)))))) (cbrt (log (exp (- 1.0 (* x x))))) (* (* (log (exp (- 1.0 (* x x)))) (log (exp (- 1.0 (* x x))))) (log (exp (- 1.0 (* x x))))) (sqrt (log (exp (- 1.0 (* x x))))) (sqrt (log (exp (- 1.0 (* x x))))) (/ (exp 1.0) (exp (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (* (* (- 1.0 (* x x)) (- 1.0 (* x x))) (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow (* x x) 3)) (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))) (neg (* x x)) (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)) (+ (sqrt 1.0) x) (- (sqrt 1.0) 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))))))) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) 0.186 * * [simplify]: iteration 0 : 4928 enodes (cost 462 ) 0.187 * * [simplify]: iteration 1 : 4928 enodes (cost 462 ) 0.189 * [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) 1 (sqrt (- 1.0 (* x x))) (sqrt (cbrt (- 1.0 (* x x)))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x))) 1 (sqrt (- (sqrt 1.0) x)) (sqrt (+ x (sqrt 1.0))) (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))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1.0 (* x (neg x)) (* 2 (log (cbrt (exp (- 1.0 (* x x)))))) (log (cbrt (exp (- 1.0 (* x x))))) (log (sqrt (exp (- 1.0 (* x x))))) (log (sqrt (exp (- 1.0 (* x x))))) (log 1) (- 1.0 (* x x)) 1.0 (* x x) (- 1.0 (* x x)) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x))) 1 (+ x (sqrt 1.0)) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (pow (- 1.0 (* x x)) 3) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (log (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (pow (- 1.0 (* x x)) 3) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (- (pow 1.0 3) (pow x 6)) (+ (pow x 4) (* 1.0 (+ 1.0 (* x x)))) (* x (neg x)) (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)) (+ x (sqrt 1.0)) (- (sqrt 1.0) x) (+ (sqrt 1.0) (* (* (/ x (sqrt 1.0)) x) (- -1/2 (* (/ x (/ 1.0 x)) 1/8)))) (+ (* x (sqrt -1)) (+ (/ 0.5 (* x (sqrt -1))) (/ 0.125 (* (sqrt -1) (pow x 3))))) (- (* (/ 1 (sqrt -1)) (- (/ 0.125 (neg (pow x 3))) (/ 0.5 x))) (* x (sqrt -1))) (- 1.0 (* x x)) (- 1.0 (* x x)) (- 1.0 (* x x)) (- 1.0 (* x x)) (- 1.0 (* x x)) (- 1.0 (* x x)) 0.189 * * * [progress]: adding candidates to table 0.264 * * [progress]: iteration 3 / 4 0.264 * * * [progress]: picking best candidate 0.266 * * * * [pick]: Picked # 0.267 * * * [progress]: localizing error 0.277 * * * [progress]: generating rewritten candidates 0.277 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.288 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.293 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.303 * * * [progress]: generating series expansions 0.303 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.304 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in (x) around 0 0.304 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 0.304 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.304 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 0.304 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.304 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.305 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.305 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.306 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.308 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.308 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.308 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.310 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 4)) in (x) around 0 0.310 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in (x) around 0 0.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.314 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in (x) around 0 0.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.314 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.314 * [taylor]: Taking taylor expansion of 1.0 in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.316 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.317 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in (x) around 0 0.317 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in x 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 4))) in x 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.318 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in (x) around 0 0.318 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 0.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 0.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.319 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.322 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 0.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 4)))) in x 0.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.325 * * * [progress]: simplifying candidates 0.327 * [simplify]: Simplifying using # : (- (log (sqrt (- (* 1.0 1.0) (pow x 4)))) (log (sqrt (+ 1.0 (* x x))))) (log (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (exp (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (* (* (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (* (* (sqrt (+ 1.0 (* x x))) (sqrt (+ 1.0 (* x x)))) (sqrt (+ 1.0 (* x x))))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (* (* (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (neg (sqrt (- (* 1.0 1.0) (pow x 4)))) (neg (sqrt (+ 1.0 (* x x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt 1)) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt 1)) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt 1)) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt 1) 1) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt 1)) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) 1) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt 1)) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) 1) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt 1)) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) 1) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt 1)) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ 1 (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ 1 (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ 1 (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ 1 (sqrt 1)) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ 1 (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ 1 1) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ 1 (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt 1)) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) 1) (/ (sqrt (+ 1.0 (* x x))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (cbrt (- (* 1.0 1.0) (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (pow (sqrt x) 4)))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (sqrt (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (pow x (/ 4 2))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (pow x 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(- 1.0 (sqrt (pow x 4))) (+ 1.0 (pow x (/ 4 2))) (- 1.0 (pow x (/ 4 2))) (log (sqrt (- (* 1.0 1.0) (pow x 4)))) (exp (sqrt (- (* 1.0 1.0) (pow x 4)))) (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (* (* (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt 1) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (- (pow (* 1.0 1.0) 3) (pow (pow x 4) 3))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (pow x 4) (pow x 4)) (* (* 1.0 1.0) (pow x 4))))) (sqrt (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (pow x 4) (pow x 4)))) (sqrt (+ (* 1.0 1.0) (pow x 4))) (/ 1 2) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (- (sqrt 1.0) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) (- 1.0 (pow x 4)) (- 1.0 (pow x 4)) (- 1.0 (pow x 4)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 8) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 4) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt (neg 1))))) (* (pow x 2) (sqrt (neg 1)))) (* 0.125 (/ 1 (* (pow x 6) (pow (sqrt (neg 1)) 3))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt (neg 1))))) (* (pow x 2) (sqrt (neg 1)))) (* 0.125 (/ 1 (* (pow x 6) (pow (sqrt (neg 1)) 3))))) 0.367 * * [simplify]: iteration 0 : 4963 enodes (cost 2590 ) 0.368 * * [simplify]: iteration 1 : 4963 enodes (cost 2590 ) 0.379 * [simplify]: Simplified to: (log (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (log (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (exp (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (pow (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) 3) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (pow (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) 3) (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (neg (sqrt (- (* 1.0 1.0) (pow x 4)))) (neg (sqrt (+ 1.0 (* x x)))) (* (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (* (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (fabs (cbrt (+ 1.0 (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (* (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (* (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (fabs (cbrt (- (* 1.0 1.0) (pow x 4)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 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12))) (sqrt (+ (pow 1.0 4) (+ (pow x 8) (* 1.0 (* 1.0 (pow x 4)))))) (sqrt (- (pow 1.0 4) (pow x 8))) (sqrt (+ (* 1.0 1.0) (pow x 4))) 1/2 (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (- (sqrt 1.0) (+ (* 0.125 (/ (pow x 4) (* 1.0 (sqrt 1.0)))) (* 0.5 (/ x (/ (sqrt 1.0) x))))) (+ (* x (sqrt -1)) (- (/ 0.5 (* x (sqrt -1))) (/ 0.125 (* (sqrt -1) (neg (pow x 3)))))) (- (/ 0.125 (* (sqrt -1) (neg (pow x 3)))) (+ (* x (sqrt -1)) (/ 0.5 (* x (sqrt -1))))) (- 1.0 (pow x 4)) (- 1.0 (pow x 4)) (- 1.0 (pow x 4)) (+ (sqrt 1.0) (+ (* (/ (pow x 4) (sqrt 1.0)) -1/2) (* (/ (pow x 8) (* 1.0 (sqrt 1.0))) -1/8))) (+ (* x (* x (sqrt -1))) (- (/ 0.5 (* x (* x (sqrt -1)))) (/ 0.125 (* (pow x 6) (neg (sqrt -1)))))) (+ (* x (* x (sqrt -1))) (- (/ 0.5 (* x (* x (sqrt -1)))) (/ 0.125 (* (pow x 6) (neg (sqrt -1)))))) 0.380 * * * [progress]: adding candidates to table 0.594 * [progress]: [Phase 3 of 3] Extracting. 0.594 * * [regime]: Finding splitpoints for: (# #) 0.594 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) (- 1.0 (* x x)) x) 0.594 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.619 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 0.635 * * * * [regimes]: Trying to branch on x from (# #) 0.659 * * * [regime]: Found split indices: #