6.530 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (- 1.0 (* x x))) 0.018 * [simplify]: Sending expressions to egg_math: (sqrt (- h1 (* h0 h0))) 0.020 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.040 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.040 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.040 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.040 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [backup-simplify]: Simplify 1.0 into 1.0 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.041 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.041 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.041 * [backup-simplify]: Simplify (+ 0 0) into 0 0.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.042 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) 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 * [backup-simplify]: Simplify 1.0 into 1.0 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 1 into 1 0.042 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.042 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.043 * [backup-simplify]: Simplify (+ 0 0) into 0 0.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.043 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.043 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify (* 1 1) into 1 0.044 * [backup-simplify]: Simplify (- 1) into -1 0.044 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.046 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.046 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.047 * [backup-simplify]: Simplify (- 0) into 0 0.047 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.048 * [backup-simplify]: Simplify (- 0) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.053 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.055 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 0.055 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.055 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.055 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.055 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [backup-simplify]: Simplify 1.0 into 1.0 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (* 1 1) into 1 0.056 * [backup-simplify]: Simplify (/ 1 1) into 1 0.056 * [backup-simplify]: Simplify (- 1) into -1 0.056 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.056 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (- 0) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [backup-simplify]: Simplify 1.0 into 1.0 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [backup-simplify]: Simplify (- 1) into -1 0.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.060 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (- 0) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.062 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (- 0) into 0 0.063 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.065 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.066 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- 0) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.074 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.076 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.076 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.076 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [backup-simplify]: Simplify 1.0 into 1.0 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [backup-simplify]: Simplify (- 1) into -1 0.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.077 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.079 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [backup-simplify]: Simplify 1.0 into 1.0 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [backup-simplify]: Simplify (- 1) into -1 0.080 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.080 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.082 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.085 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.086 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.094 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.096 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.096 * * * [progress]: simplifying candidates 0.096 * [simplify]: Simplifying: (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.097 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (- h1 (* h0 h0)))) (log1p (sqrt (- h1 (* h0 h0)))) (log (sqrt (- h1 (* h0 h0)))) (exp (sqrt (- h1 (* h0 h0)))) (* (cbrt (sqrt (- h1 (* h0 h0)))) (cbrt (sqrt (- h1 (* h0 h0))))) (cbrt (sqrt (- h1 (* h0 h0)))) (* (* (sqrt (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0)))) (sqrt (- h1 (* h0 h0)))) (sqrt (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0))))) (sqrt (cbrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt 1) (sqrt (- h1 (* h0 h0))) (sqrt (+ (sqrt h1) h0)) (sqrt (- (sqrt h1) h0)) (sqrt (- (pow h1 3) (pow (* h0 h0) 3))) (sqrt (+ (* h1 h1) (+ (* (* h0 h0) (* h0 h0)) (* h1 (* h0 h0))))) (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (sqrt (+ h1 (* h0 h0))) (/ 1 2) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (- (sqrt h1) (+ (* 1/8 (/ (pow h0 4) (pow (sqrt h1) 3))) (* 1/2 (/ (pow h0 2) (sqrt h1))))) (- (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1))) (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3))))) (- (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3)))) (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1)))) 0.100 * * [simplify]: iteration 0 : 165 enodes (cost 131 ) 0.103 * * [simplify]: iteration 1 : 568 enodes (cost 128 ) 0.115 * * [simplify]: iteration 2 : 2782 enodes (cost 126 ) 0.178 * * [simplify]: iteration 3 : 5001 enodes (cost 123 ) 0.179 * * * [progress]: adding candidates to table 0.224 * * [progress]: iteration 2 / 4 0.224 * * * [progress]: picking best candidate 0.226 * * * * [pick]: Picked # 0.226 * * * [progress]: localizing error 0.234 * * * [progress]: generating rewritten candidates 0.234 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.248 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.255 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.267 * * * [progress]: generating series expansions 0.267 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.268 * [backup-simplify]: Simplify (log (exp (sqrt (- 1.0 (* x x))))) into (sqrt (- 1.0 (pow x 2))) 0.268 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [backup-simplify]: Simplify 1.0 into 1.0 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.269 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.269 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.269 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.269 * [taylor]: Taking taylor expansion of 1.0 in x 0.269 * [backup-simplify]: Simplify 1.0 into 1.0 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.270 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.271 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (- 1) into -1 0.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.273 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.274 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.281 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.283 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 0.283 * [backup-simplify]: Simplify (log (exp (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.283 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [backup-simplify]: Simplify 1.0 into 1.0 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (* 1 1) into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [backup-simplify]: Simplify (- 1) into -1 0.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.284 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [backup-simplify]: Simplify 1.0 into 1.0 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [backup-simplify]: Simplify (- 1) into -1 0.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.287 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.289 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.292 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.293 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.301 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.303 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.303 * [backup-simplify]: Simplify (log (exp (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.303 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify (- 1) into -1 0.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.304 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.306 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [backup-simplify]: Simplify 1.0 into 1.0 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 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [backup-simplify]: Simplify (- 1) into -1 0.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.307 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.309 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.312 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.313 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.324 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.326 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.327 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.327 * [backup-simplify]: Simplify (sqrt (- 1.0 (* x x))) into (sqrt (- 1.0 (pow x 2))) 0.327 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [backup-simplify]: Simplify 1.0 into 1.0 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.327 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.328 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of 1.0 in x 0.328 * [backup-simplify]: Simplify 1.0 into 1.0 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.329 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.330 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (- 1) into -1 0.330 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.332 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.332 * [backup-simplify]: Simplify (/ -1/2 (sqrt 1.0)) into (/ -1/2 (sqrt 1.0)) 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.339 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.341 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 4)) (+ (* (/ -1/2 (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) 0.341 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 x) (/ 1 x)))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.341 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.341 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [backup-simplify]: Simplify 1.0 into 1.0 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [backup-simplify]: Simplify (- 1) into -1 0.342 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.343 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.344 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [backup-simplify]: Simplify 1.0 into 1.0 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [backup-simplify]: Simplify (- 1) into -1 0.345 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.345 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.347 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.350 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.351 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.359 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.361 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) 0.361 * [backup-simplify]: Simplify (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (- 1.0 (/ 1 (pow x 2)))) 0.361 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.361 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [backup-simplify]: Simplify 1.0 into 1.0 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [backup-simplify]: Simplify (- 1) into -1 0.362 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.363 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.364 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.364 * [backup-simplify]: Simplify 1.0 into 1.0 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (* 1 1) into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [backup-simplify]: Simplify (- 1) into -1 0.365 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.366 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.367 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.369 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.371 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 0.5 (sqrt -1)) 0.371 * [backup-simplify]: Simplify (/ 0.5 (sqrt -1)) into (/ 0.5 (sqrt -1)) 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 0.5 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.5 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -0.125 (pow (sqrt -1) 3)) 0.380 * [backup-simplify]: Simplify (/ -0.125 (pow (sqrt -1) 3)) into (/ -0.125 (pow (sqrt -1) 3)) 0.382 * [backup-simplify]: Simplify (+ (* (/ -0.125 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 0.5 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.382 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.382 * [backup-simplify]: Simplify (exp (sqrt (- 1.0 (* x x)))) into (exp (sqrt (- 1.0 (pow x 2)))) 0.382 * [approximate]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in (x) around 0 0.382 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.382 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [backup-simplify]: Simplify 1.0 into 1.0 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.383 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.384 * [backup-simplify]: Simplify (exp (sqrt 1.0)) into (exp (sqrt 1.0)) 0.384 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [backup-simplify]: Simplify 1.0 into 1.0 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.384 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.386 * [backup-simplify]: Simplify (exp (sqrt 1.0)) into (exp (sqrt 1.0)) 0.386 * [backup-simplify]: Simplify (exp (sqrt 1.0)) into (exp (sqrt 1.0)) 0.387 * [backup-simplify]: Simplify (* (exp (sqrt 1.0)) (+ (* (/ (pow 0 1) 1)))) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (- 1) into -1 0.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.389 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/2 (sqrt 1.0)) 0.394 * [backup-simplify]: Simplify (* (exp (sqrt 1.0)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ -1/2 (sqrt 1.0)) 1) 1)))) into (* -1/2 (/ (exp (sqrt 1.0)) (sqrt 1.0))) 0.395 * [backup-simplify]: Simplify (* -1/2 (/ (exp (sqrt 1.0)) (sqrt 1.0))) into (* -1/2 (/ (exp (sqrt 1.0)) (sqrt 1.0))) 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.396 * [backup-simplify]: Simplify (- 0) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.398 * [backup-simplify]: Simplify (* (exp (sqrt 1.0)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ -1/2 (sqrt 1.0)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.419 * [backup-simplify]: Simplify (* (exp (sqrt 1.0)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ -1/2 (sqrt 1.0)) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1/2 (sqrt 1.0)) 2) 2)) (* (/ (pow (/ -1/8 (pow (sqrt 1.0) 3)) 1) 1)))) into (* (exp (sqrt 1.0)) (- (* 1/8 (/ 1 (pow (sqrt 1.0) 2))) (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.425 * [backup-simplify]: Simplify (* (exp (sqrt 1.0)) (- (* 1/8 (/ 1 (pow (sqrt 1.0) 2))) (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) into (* (exp (sqrt 1.0)) (- (* 1/8 (/ 1 (pow (sqrt 1.0) 2))) (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.433 * [backup-simplify]: Simplify (+ (* (* (exp (sqrt 1.0)) (- (* 1/8 (/ 1 (pow (sqrt 1.0) 2))) (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (pow x 4)) (+ (* (* -1/2 (/ (exp (sqrt 1.0)) (sqrt 1.0))) (pow x 2)) (exp (sqrt 1.0)))) into (- (+ (exp (sqrt 1.0)) (* 1/8 (/ (* (exp (sqrt 1.0)) (pow x 4)) (pow (sqrt 1.0) 2)))) (+ (* 1/8 (/ (* (exp (sqrt 1.0)) (pow x 4)) (pow (sqrt 1.0) 3))) (* 1/2 (/ (* (exp (sqrt 1.0)) (pow x 2)) (sqrt 1.0))))) 0.433 * [backup-simplify]: Simplify (exp (sqrt (- 1.0 (* (/ 1 x) (/ 1 x))))) into (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.433 * [approximate]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.433 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.433 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.433 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.433 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [backup-simplify]: Simplify 1.0 into 1.0 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [backup-simplify]: Simplify (- 1) into -1 0.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.435 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.437 * [backup-simplify]: Simplify (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) into (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.437 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.437 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [backup-simplify]: Simplify 1.0 into 1.0 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (* 1 1) into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [backup-simplify]: Simplify (- 1) into -1 0.438 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.438 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.440 * [backup-simplify]: Simplify (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) into (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.440 * [backup-simplify]: Simplify (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) into (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (exp (sqrt (- 1.0 (/ 1 (pow (/ 1 x) 2))))) into (exp (sqrt (- 1.0 (pow x 2)))) 0.441 * [backup-simplify]: Simplify (exp (sqrt (- 1.0 (* (/ 1 (- x)) (/ 1 (- x)))))) into (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.441 * [approximate]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.441 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [backup-simplify]: Simplify 1.0 into 1.0 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [backup-simplify]: Simplify (- 1) into -1 0.442 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.442 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.444 * [backup-simplify]: Simplify (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) into (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.444 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.444 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.444 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [backup-simplify]: Simplify 1.0 into 1.0 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [backup-simplify]: Simplify (- 1) into -1 0.445 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.445 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 0.447 * [backup-simplify]: Simplify (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) into (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.447 * [backup-simplify]: Simplify (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) into (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (exp (sqrt (- 1.0 (/ 1 (pow (/ 1 (- x)) 2))))) into (exp (sqrt (- 1.0 (pow x 2)))) 0.448 * * * [progress]: simplifying candidates 0.448 * [simplify]: Simplifying: (expm1 (log (exp (sqrt (- 1.0 (* x x)))))) (log1p (log (exp (sqrt (- 1.0 (* x x)))))) (log (* (cbrt (exp (sqrt (- 1.0 (* x x))))) (cbrt (exp (sqrt (- 1.0 (* x x))))))) (log (cbrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) (log 1) (log (exp (sqrt (- 1.0 (* x x))))) (log (exp (sqrt (- 1.0 (* x x))))) (log (exp (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))))) (log (exp (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))))) (log (exp (sqrt (sqrt (- 1.0 (* x x)))))) (log (exp (sqrt 1))) (log (exp (sqrt (+ (sqrt 1.0) x)))) (log (exp (sqrt (sqrt (- 1.0 (* x x)))))) (log (exp 1)) (log (log (exp (sqrt (- 1.0 (* x x)))))) (exp (log (exp (sqrt (- 1.0 (* x x)))))) (* (cbrt (log (exp (sqrt (- 1.0 (* x x)))))) (cbrt (log (exp (sqrt (- 1.0 (* x x))))))) (cbrt (log (exp (sqrt (- 1.0 (* x x)))))) (* (* (log (exp (sqrt (- 1.0 (* x x))))) (log (exp (sqrt (- 1.0 (* x x)))))) (log (exp (sqrt (- 1.0 (* x x)))))) (sqrt (log (exp (sqrt (- 1.0 (* x x)))))) (sqrt (log (exp (sqrt (- 1.0 (* x x)))))) (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (expm1 (exp (sqrt (- 1.0 (* x x))))) (log1p (exp (sqrt (- 1.0 (* x x))))) (exp (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x)))))) (exp (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (exp (sqrt (sqrt (- 1.0 (* x x))))) (exp (sqrt 1)) (exp (sqrt (+ (sqrt 1.0) x))) (exp (sqrt (sqrt (- 1.0 (* x x))))) (exp 1) (log (exp (sqrt (- 1.0 (* x x))))) (exp (exp (sqrt (- 1.0 (* x x))))) (* (cbrt (exp (sqrt (- 1.0 (* x x))))) (cbrt (exp (sqrt (- 1.0 (* x x)))))) (cbrt (exp (sqrt (- 1.0 (* x x))))) (* (* (exp (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x))))) (exp (sqrt (- 1.0 (* x x))))) (sqrt (exp (sqrt (- 1.0 (* x x))))) (sqrt (exp (sqrt (- 1.0 (* x x))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) (- (+ (exp (sqrt 1.0)) (* 1/8 (/ (* (exp (sqrt 1.0)) (pow x 4)) (pow (sqrt 1.0) 2)))) (+ (* 1/8 (/ (* (exp (sqrt 1.0)) (pow x 4)) (pow (sqrt 1.0) 3))) (* 1/2 (/ (* (exp (sqrt 1.0)) (pow x 2)) (sqrt 1.0))))) (exp (sqrt (- 1.0 (pow x 2)))) (exp (sqrt (- 1.0 (pow x 2)))) 0.449 * [simplify]: Sending expressions to egg_math: (expm1 (log (exp (sqrt (- h1 (* h0 h0)))))) (log1p (log (exp (sqrt (- h1 (* h0 h0)))))) (log (* (cbrt (exp (sqrt (- h1 (* h0 h0))))) (cbrt (exp (sqrt (- h1 (* h0 h0))))))) (log (cbrt (exp (sqrt (- h1 (* h0 h0)))))) (log (sqrt (exp (sqrt (- h1 (* h0 h0)))))) (log (sqrt (exp (sqrt (- h1 (* h0 h0)))))) (log 1) (log (exp (sqrt (- h1 (* h0 h0))))) (log (exp (sqrt (- h1 (* h0 h0))))) (log (exp (* (cbrt (sqrt (- h1 (* h0 h0)))) (cbrt (sqrt (- h1 (* h0 h0))))))) (log (exp (sqrt (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0))))))) (log (exp (sqrt (sqrt (- h1 (* h0 h0)))))) (log (exp (sqrt 1))) (log (exp (sqrt (+ (sqrt h1) h0)))) (log (exp (sqrt (sqrt (- h1 (* h0 h0)))))) (log (exp 1)) (log (log (exp (sqrt (- h1 (* h0 h0)))))) (exp (log (exp (sqrt (- h1 (* h0 h0)))))) (* (cbrt (log (exp (sqrt (- h1 (* h0 h0)))))) (cbrt (log (exp (sqrt (- h1 (* h0 h0))))))) (cbrt (log (exp (sqrt (- h1 (* h0 h0)))))) (* (* (log (exp (sqrt (- h1 (* h0 h0))))) (log (exp (sqrt (- h1 (* h0 h0)))))) (log (exp (sqrt (- h1 (* h0 h0)))))) (sqrt (log (exp (sqrt (- h1 (* h0 h0)))))) (sqrt (log (exp (sqrt (- h1 (* h0 h0)))))) (expm1 (sqrt (- h1 (* h0 h0)))) (log1p (sqrt (- h1 (* h0 h0)))) (log (sqrt (- h1 (* h0 h0)))) (exp (sqrt (- h1 (* h0 h0)))) (* (cbrt (sqrt (- h1 (* h0 h0)))) (cbrt (sqrt (- h1 (* h0 h0))))) (cbrt (sqrt (- h1 (* h0 h0)))) (* (* (sqrt (- h1 (* h0 h0))) (sqrt (- h1 (* h0 h0)))) (sqrt (- h1 (* h0 h0)))) (sqrt (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0))))) (sqrt (cbrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt 1) (sqrt (- h1 (* h0 h0))) (sqrt (+ (sqrt h1) h0)) (sqrt (- (sqrt h1) h0)) (sqrt (- (pow h1 3) (pow (* h0 h0) 3))) (sqrt (+ (* h1 h1) (+ (* (* h0 h0) (* h0 h0)) (* h1 (* h0 h0))))) (sqrt (- (* h1 h1) (* (* h0 h0) (* h0 h0)))) (sqrt (+ h1 (* h0 h0))) (/ 1 2) (sqrt (sqrt (- h1 (* h0 h0)))) (sqrt (sqrt (- h1 (* h0 h0)))) (expm1 (exp (sqrt (- h1 (* h0 h0))))) (log1p (exp (sqrt (- h1 (* h0 h0))))) (exp (* (cbrt (sqrt (- h1 (* h0 h0)))) (cbrt (sqrt (- h1 (* h0 h0)))))) (exp (sqrt (* (cbrt (- h1 (* h0 h0))) (cbrt (- h1 (* h0 h0)))))) (exp (sqrt (sqrt (- h1 (* h0 h0))))) (exp (sqrt 1)) (exp (sqrt (+ (sqrt h1) h0))) (exp (sqrt (sqrt (- h1 (* h0 h0))))) (exp 1) (log (exp (sqrt (- h1 (* h0 h0))))) (exp (exp (sqrt (- h1 (* h0 h0))))) (* (cbrt (exp (sqrt (- h1 (* h0 h0))))) (cbrt (exp (sqrt (- h1 (* h0 h0)))))) (cbrt (exp (sqrt (- h1 (* h0 h0))))) (* (* (exp (sqrt (- h1 (* h0 h0)))) (exp (sqrt (- h1 (* h0 h0))))) (exp (sqrt (- h1 (* h0 h0))))) (sqrt (exp (sqrt (- h1 (* h0 h0))))) (sqrt (exp (sqrt (- h1 (* h0 h0))))) (- (sqrt h1) (+ (* 1/8 (/ (pow h0 4) (pow (sqrt h1) 3))) (* 1/2 (/ (pow h0 2) (sqrt h1))))) (- (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1))) (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3))))) (- (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3)))) (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1)))) (- (sqrt h1) (+ (* 1/8 (/ (pow h0 4) (pow (sqrt h1) 3))) (* 1/2 (/ (pow h0 2) (sqrt h1))))) (- (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1))) (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3))))) (- (* h2 (/ 1 (* (pow h0 3) (pow (sqrt -1) 3)))) (+ (* h3 (/ 1 (* h0 (sqrt -1)))) (* h0 (sqrt -1)))) (- (+ (exp (sqrt h1)) (* 1/8 (/ (* (exp (sqrt h1)) (pow h0 4)) (pow (sqrt h1) 2)))) (+ (* 1/8 (/ (* (exp (sqrt h1)) (pow h0 4)) (pow (sqrt h1) 3))) (* 1/2 (/ (* (exp (sqrt h1)) (pow h0 2)) (sqrt h1))))) (exp (sqrt (- h1 (pow h0 2)))) (exp (sqrt (- h1 (pow h0 2)))) 0.453 * * [simplify]: iteration 0 : 252 enodes (cost 402 ) 0.458 * * [simplify]: iteration 1 : 853 enodes (cost 382 ) 0.474 * * [simplify]: iteration 2 : 4254 enodes (cost 370 ) 0.569 * * [simplify]: iteration 3 : 5001 enodes (cost 366 ) 0.571 * * * [progress]: adding candidates to table 0.729 * [progress]: [Phase 3 of 3] Extracting. 0.730 * * [regime]: Finding splitpoints for: (# #) 0.730 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 0.730 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.739 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 0.749 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 0.759 * * * * [regimes]: Trying to branch on x from (# #) 0.770 * * * [regime]: Found split indices: #