23.407 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.023 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.026 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.034 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.034 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.035 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.049 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.049 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) 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 0.052 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.073 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 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 * [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 0.093 * * * [progress]: simplifying candidates 0.093 * [simplify]: Simplifying using # : (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.097 * * [simplify]: iteration 0 : 157 enodes (cost 124 ) 0.100 * * [simplify]: iteration 1 : 534 enodes (cost 121 ) 0.110 * * [simplify]: iteration 2 : 2617 enodes (cost 120 ) 0.172 * * [simplify]: iteration 3 : 5002 enodes (cost 119 ) 0.173 * [simplify]: Simplified to: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) x)) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (/ (/ 0.5 (sqrt -1)) x) (neg (* x (sqrt -1))))) 0.173 * * * [progress]: adding candidates to table 0.205 * * [progress]: iteration 2 / 4 0.205 * * * [progress]: picking best candidate 0.207 * * * * [pick]: Picked # 0.207 * * * [progress]: localizing error 0.214 * * * [progress]: generating rewritten candidates 0.214 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.221 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.225 * * * [progress]: generating series expansions 0.225 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.226 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.226 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.227 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.241 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.262 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.262 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.265 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.265 * [taylor]: Taking taylor expansion of 1.0 in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.283 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.283 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.283 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.285 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.298 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.322 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.323 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.343 * * * [progress]: simplifying candidates 0.344 * [simplify]: Simplifying using # : (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)))))) (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)))) (- (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)))) 0.348 * * [simplify]: iteration 0 : 189 enodes (cost 261 ) 0.352 * * [simplify]: iteration 1 : 580 enodes (cost 249 ) 0.364 * * [simplify]: iteration 2 : 2707 enodes (cost 247 ) 0.429 * * [simplify]: iteration 3 : 5001 enodes (cost 245 ) 0.431 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (sqrt (- 1.0 (* x x))))))) (log (cbrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) (log (sqrt (exp (sqrt (- 1.0 (* x x)))))) 0 (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- 1.0 (* x x)))) 1 (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* 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) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) x)) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (/ (/ 0.5 (sqrt -1)) x) (neg (* x (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (/ (/ 0.5 (sqrt -1)) x)) (- (/ (/ 0.125 (pow (sqrt -1) 3)) (pow x 3)) (- (/ (/ 0.5 (sqrt -1)) x) (neg (* x (sqrt -1))))) 0.431 * * * [progress]: adding candidates to table 0.505 * [progress]: [Phase 3 of 3] Extracting. 0.505 * * [regime]: Finding splitpoints for: (# #) 0.505 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 0.505 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.513 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 0.523 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 0.532 * * * * [regimes]: Trying to branch on x from (# #) 0.542 * * * [regime]: Found split indices: #