24.726 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.004 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.006 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.006 * * * * [points]: Setting MPFR precision to 64 0.006 * * * * [points]: Setting MPFR precision to 320 0.006 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.006 * * * * [points]: Setting MPFR precision to 64 0.006 * * * * [points]: Setting MPFR precision to 320 0.007 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.007 * * * * [points]: Setting MPFR precision to 64 0.007 * * * * [points]: Setting MPFR precision to 320 0.008 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.008 * * * * [points]: Setting MPFR precision to 64 0.009 * * * * [points]: Setting MPFR precision to 320 0.010 * * * * [points]: Computing exacts for 256 points 0.010 * * * * [points]: Setting MPFR precision to 64 0.012 * * * * [points]: Setting MPFR precision to 320 0.015 * * * * [points]: Filtering points with unrepresentable outputs 0.016 * * * * [points]: Sampled 256 points with exact outputs 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.029 * * [simplify]: iteration 0 : 90 enodes (cost 6 ) 0.029 * * [simplify]: iteration 1 : 90 enodes (cost 6 ) 0.030 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.043 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.043 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of 1.0 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 (sqrt (- 1.0 (pow x 2))) in x 0.043 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of 1.0 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 (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.044 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) 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 0.044 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) 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 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.047 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.047 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0 0.047 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * * * [progress]: simplifying candidates 0.051 * [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)) 0.082 * * [simplify]: iteration 0 : 4986 enodes (cost 310 ) 0.082 * * [simplify]: iteration 1 : 4986 enodes (cost 310 ) 0.084 * [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)) 0.084 * * * [progress]: adding candidates to table 0.134 * * [progress]: iteration 2 / 4 0.134 * * * [progress]: picking best candidate 0.137 * * * * [pick]: Picked # 0.137 * * * [progress]: localizing error 0.147 * * * [progress]: generating rewritten candidates 0.147 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.156 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.169 * * * [progress]: generating series expansions 0.169 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.169 * [approximate]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in (x) around 0 0.169 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.169 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.175 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.178 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 0.178 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.178 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 0.179 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.180 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.180 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.181 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.181 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.183 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.183 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * * * [progress]: simplifying candidates 0.186 * [simplify]: Simplifying using # : (- (log (- (* 1.0 1.0) (pow x 4))) (log (+ 1.0 (* x x)))) (log (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))) (exp (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))) (/ (* (* (- (* 1.0 1.0) (pow x 4)) (- (* 1.0 1.0) (pow x 4))) (- (* 1.0 1.0) (pow x 4))) (* (* (+ 1.0 (* x x)) (+ 1.0 (* x x))) (+ 1.0 (* x x)))) (* (cbrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))) (cbrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))) (cbrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))) (* (* (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))) (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))) (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))) (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))) (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))) (neg (- (* 1.0 1.0) (pow x 4))) (neg (+ 1.0 (* x x))) (/ (* 1.0 1.0) (+ 1.0 (* x x))) (/ (pow x 4) (+ 1.0 (* x x))) (/ (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4)))) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x))))) (/ (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (+ 1.0 (* x x)))) (/ (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (cbrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4)))) 1) (/ (cbrt (- (* 1.0 1.0) (pow x 4))) (+ 1.0 (* x x))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (cbrt (+ 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))) 1) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (+ 1.0 (* x x))) (/ 1 (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x))))) (/ (- (* 1.0 1.0) (pow x 4)) (cbrt (+ 1.0 (* x x)))) (/ 1 (sqrt (+ 1.0 (* x x)))) (/ (- (* 1.0 1.0) (pow x 4)) (sqrt (+ 1.0 (* x x)))) (/ 1 1) (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))) (/ (+ 1.0 (pow (sqrt x) 4)) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x))))) (/ (- 1.0 (pow (sqrt x) 4)) (cbrt (+ 1.0 (* x x)))) (/ (+ 1.0 (pow (sqrt x) 4)) (sqrt (+ 1.0 (* x x)))) (/ (- 1.0 (pow (sqrt x) 4)) (sqrt (+ 1.0 (* x x)))) (/ (+ 1.0 (pow (sqrt x) 4)) 1) (/ (- 1.0 (pow (sqrt x) 4)) (+ 1.0 (* x x))) (/ (+ 1.0 (sqrt (pow x 4))) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x))))) (/ (- 1.0 (sqrt (pow x 4))) (cbrt (+ 1.0 (* x x)))) (/ (+ 1.0 (sqrt (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (- 1.0 (sqrt (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (+ 1.0 (sqrt (pow x 4))) 1) (/ (- 1.0 (sqrt (pow x 4))) (+ 1.0 (* x x))) (/ (+ 1.0 (pow x (/ 4 2))) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 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1.0 (* x x)) (+ (* 1.0 1.0) (pow x 4))) (log (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))) (exp (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))) (* (cbrt (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))) (cbrt (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))))) (cbrt (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))) (* (* (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))) (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))) (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))) (sqrt (* (cbrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))) (cbrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))))) (sqrt (cbrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))) (sqrt (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))) (sqrt (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))) (sqrt (/ (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4)))) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (sqrt (/ (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (+ 1.0 (* x x))))) (sqrt (/ (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 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 (/ (* (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))) (+ 1.0 (* x x)))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (cbrt (+ 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))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) 1)) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (+ 1.0 (* x x)))) (sqrt (/ 1 (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (cbrt (+ 1.0 (* x x))))) (sqrt (/ 1 (sqrt (+ 1.0 (* x x))))) (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (sqrt (+ 1.0 (* x x))))) (sqrt (/ 1 1)) (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))) (sqrt (/ (+ 1.0 (pow (sqrt x) 4)) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (sqrt (/ (- 1.0 (pow (sqrt x) 4)) (cbrt (+ 1.0 (* x x))))) (sqrt (/ (+ 1.0 (pow (sqrt x) 4)) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (- 1.0 (pow (sqrt x) 4)) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (+ 1.0 (pow (sqrt x) 4)) 1)) (sqrt (/ (- 1.0 (pow (sqrt x) 4)) (+ 1.0 (* x x)))) (sqrt (/ (+ 1.0 (sqrt (pow x 4))) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (sqrt (/ (- 1.0 (sqrt (pow x 4))) (cbrt (+ 1.0 (* x x))))) (sqrt (/ (+ 1.0 (sqrt (pow x 4))) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (- 1.0 (sqrt (pow x 4))) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (+ 1.0 (sqrt (pow x 4))) 1)) (sqrt (/ (- 1.0 (sqrt (pow x 4))) (+ 1.0 (* x x)))) (sqrt (/ (+ 1.0 (pow x (/ 4 2))) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (sqrt (/ (- 1.0 (pow x (/ 4 2))) (cbrt (+ 1.0 (* x x))))) (sqrt (/ (+ 1.0 (pow x (/ 4 2))) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (- 1.0 (pow x (/ 4 2))) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (+ 1.0 (pow x (/ 4 2))) 1)) (sqrt (/ (- 1.0 (pow x (/ 4 2))) (+ 1.0 (* x x)))) (sqrt 1) (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x)))) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (/ 1 (+ 1.0 (* x x)))) (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ (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) (pow x 4)) (- (* 1.0 1.0) (* (* x x) (* x x))))) (sqrt (- 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))) (sqrt (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))))) (- 1.0 (* 1.0 (pow x 2))) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- (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)))) 0.226 * * [simplify]: iteration 0 : 5477 enodes (cost 1531 ) 0.231 * [simplify]: Simplified to: (log (/ (- 1.0 (* x x)) 1)) (log (/ (- 1.0 (* x x)) 1)) (exp (/ (- 1.0 (* x x)) 1)) (/ (pow (- 1.0 (* x x)) 3) 1) (* (cbrt (/ (- 1.0 (* x x)) 1)) (cbrt (/ (- 1.0 (* x x)) 1))) (cbrt (/ (- 1.0 (* x x)) 1)) (/ (pow (- 1.0 (* x x)) 3) 1) (sqrt (/ (- 1.0 (* x x)) 1)) (sqrt (/ (- 1.0 (* x x)) 1)) (- (pow x 4) (* 1.0 1.0)) (- (* x (neg x)) 1.0) (* (/ 1.0 (+ 1.0 (* x x))) 1.0) (/ (pow x 4) (+ 1.0 (* x x))) (* (/ (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (+ 1.0 (* x x)))) (/ (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (+ 1.0 (* x x))))) (/ (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (+ 1.0 (* x x)))) (* (/ (cbrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (cbrt (- (* 1.0 1.0) (pow x 4)))) (/ (cbrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4)))) (/ (cbrt (- (* 1.0 1.0) (pow x 4))) (+ 1.0 (* x x))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* 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(* x x)) (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (sqrt (/ (- 1.0 (* x x)) (cbrt (+ 1.0 (* x x))))) (sqrt (/ (+ 1.0 (* x x)) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (- 1.0 (* x x)) (sqrt (+ 1.0 (* x x))))) (sqrt (+ 1.0 (* x x))) (sqrt (/ (- 1.0 (* x x)) (+ 1.0 (* x x)))) 1 (sqrt (/ (- 1.0 (* x x)) 1)) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (/ 1 (+ 1.0 (* x x)))) (sqrt (/ (- (* 1.0 1.0) (pow x 4)) (+ (pow 1.0 3) (pow x 6)))) (sqrt (+ (pow x 4) (* 1.0 (- 1.0 (* x x))))) 1 (sqrt (- 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)) 1))) (sqrt (sqrt (/ (- 1.0 (* x x)) 1))) (- 1.0 (* 1.0 (* x x))) (- 1.0 (* x x)) (- 1.0 (* x x)) (- (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))))) 0.232 * * * [progress]: adding candidates to table 0.389 * [progress]: [Phase 3 of 3] Extracting. 0.390 * * [regime]: Finding splitpoints for: (# #) 0.390 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 0.390 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.418 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 0.437 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 0.461 * * * * [regimes]: Trying to branch on x from (# #) 0.489 * * * [regime]: Found split indices: #