16.668 * [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 using # : (sqrt (- 1.0 (* x x))) 0.020 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.023 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.033 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.033 * [taylor]: Taking taylor expansion of x in x 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 0.048 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) 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 0.051 * [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 0.074 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.074 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.077 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.094 * * * [progress]: simplifying candidates 0.095 * [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)))) 0.098 * * [simplify]: iteration 0 : 157 enodes (cost 124 ) 0.102 * * [simplify]: iteration 1 : 534 enodes (cost 121 ) 0.113 * * [simplify]: iteration 2 : 2617 enodes (cost 120 ) 0.174 * * [simplify]: iteration 3 : 5002 enodes (cost 119 ) 0.175 * [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) (- (* x (sqrt -1))))) 0.175 * * * [progress]: adding candidates to table 0.221 * * [progress]: iteration 2 / 4 0.221 * * * [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 1 1) 0.237 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.242 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.249 * * * [progress]: generating series expansions 0.249 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.249 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.249 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.265 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 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 0.268 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.289 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.292 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.311 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.311 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.311 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.311 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.312 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of 1.0 in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.326 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.327 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.330 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.330 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.348 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.369 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.372 * [approximate]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in x 0.375 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.375 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.423 * [approximate]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.423 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.426 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.430 * [approximate]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.430 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.430 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.430 * [taylor]: Taking taylor expansion of x in x 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 * [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 0.437 * * * [progress]: simplifying candidates 0.438 * [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)))) (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)))))) (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)))) 0.442 * * [simplify]: iteration 0 : 239 enodes (cost 379 ) 0.447 * * [simplify]: iteration 1 : 807 enodes (cost 359 ) 0.464 * * [simplify]: iteration 2 : 4049 enodes (cost 349 ) 0.557 * * [simplify]: iteration 3 : 5002 enodes (cost 345 ) 0.559 * [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)))) (* 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)))) (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))))) E (exp (sqrt (+ (sqrt 1.0) x))) (exp (sqrt (sqrt (- 1.0 (* x x))))) E (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))))) (pow (exp (sqrt (- 1.0 (* x x)))) 3) (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))))) (+ (- (* 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) (- (* 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) (- (* x (sqrt -1))))) (- (* (/ (pow x 4) (/ 1.0 (exp (sqrt 1.0)))) (- 1/8 (/ 1/8 (sqrt 1.0)))) (- (* 1/2 (/ (* (exp (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) (exp (sqrt 1.0)))) (exp (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) 0.560 * * * [progress]: adding candidates to table 0.709 * * [progress]: iteration 3 / 4 0.709 * * * [progress]: picking best candidate 0.712 * * * * [pick]: Picked # 0.712 * * * [progress]: localizing error 0.726 * * * [progress]: generating rewritten candidates 0.726 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 2) 0.748 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.765 * * * [progress]: generating series expansions 0.765 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 2) 0.766 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in (x) around 0 0.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.766 * [taylor]: Taking taylor expansion of 1/2 in x 0.766 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.766 * [taylor]: Taking taylor expansion of 1.0 in x 0.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.768 * [taylor]: Taking taylor expansion of 1/2 in x 0.768 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.768 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.768 * [taylor]: Taking taylor expansion of 1.0 in x 0.789 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 0.789 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.789 * [taylor]: Taking taylor expansion of 1/2 in x 0.789 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.789 * [taylor]: Taking taylor expansion of 1.0 in x 0.791 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.791 * [taylor]: Taking taylor expansion of 1/2 in x 0.791 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.791 * [taylor]: Taking taylor expansion of x in x 0.791 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.791 * [taylor]: Taking taylor expansion of 1.0 in x 0.815 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 0.815 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.815 * [taylor]: Taking taylor expansion of 1/2 in x 0.815 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.815 * [taylor]: Taking taylor expansion of 1.0 in x 0.817 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.817 * [taylor]: Taking taylor expansion of 1/2 in x 0.817 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.817 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.817 * [taylor]: Taking taylor expansion of 1.0 in x 0.836 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.837 * [approximate]: Taking taylor expansion of (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in (x) around 0 0.837 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in x 0.837 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 0.837 * [taylor]: Taking taylor expansion of 1/8 in x 0.837 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.837 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.837 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.842 * [taylor]: Taking taylor expansion of 1/2 in x 0.842 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) in x 0.843 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) in x 0.843 * [taylor]: Taking taylor expansion of 1/8 in x 0.843 * [taylor]: Taking taylor expansion of (/ (pow x 4) (pow (sqrt 1.0) 3)) in x 0.843 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.843 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.848 * [taylor]: Taking taylor expansion of 1/2 in x 0.848 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in (x) around 0 0.919 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 0.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 0.919 * [taylor]: Taking taylor expansion of 1/2 in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 0.919 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 0.921 * [taylor]: Taking taylor expansion of 1/8 in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.921 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.921 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.921 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.921 * [taylor]: Taking taylor expansion of 1.0 in x 0.926 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 0.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 0.927 * [taylor]: Taking taylor expansion of 1/2 in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 0.927 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.927 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 0.929 * [taylor]: Taking taylor expansion of 1/8 in x 0.929 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 0.929 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 0.929 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.929 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in (x) around 0 1.023 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 1.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 1.023 * [taylor]: Taking taylor expansion of 1/2 in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 1.023 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.025 * [taylor]: Taking taylor expansion of 1/8 in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.025 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.025 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.025 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.031 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))))) in x 1.031 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (sqrt 1.0)))) in x 1.031 * [taylor]: Taking taylor expansion of 1/2 in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (sqrt 1.0))) in x 1.031 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 1.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.033 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3)))) in x 1.033 * [taylor]: Taking taylor expansion of 1/8 in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 4) (pow (sqrt 1.0) 3))) in x 1.033 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 3)) in x 1.033 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.033 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.033 * [taylor]: Taking taylor expansion of 1.0 in x 1.126 * * * [progress]: simplifying candidates 1.131 * [simplify]: Simplifying using # : (* 1/2 (/ (pow x 2) (sqrt 1.0))) (+ (log 1/2) (- (* (log x) 2) (log (sqrt 1.0)))) (+ (log 1/2) (- (* (log x) 2) (log (sqrt 1.0)))) (+ (log 1/2) (- (log (pow x 2)) (log (sqrt 1.0)))) (+ (log 1/2) (log (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow x 2) (sqrt 1.0)) (/ (pow x 2) (sqrt 1.0))) (/ (pow x 2) (sqrt 1.0)))) (* (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (* (cbrt (/ (pow x 2) (sqrt 1.0))) (cbrt (/ (pow x 2) (sqrt 1.0))))) (* 1/2 (sqrt (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt 1))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1)) (* 1/2 (/ (pow (sqrt x) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt 1))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (sqrt x) 2) 1)) (* 1/2 (/ (pow 1 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow 1 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow 1 2) (sqrt 1))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ x (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ x (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 (/ x (sqrt 1))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 (/ x 1)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt 1))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1)) (* 1/2 (/ (sqrt (pow x 2)) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt 1))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (sqrt (pow x 2)) 1)) (* 1/2 (/ 1 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ 1 (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ 1 (sqrt (sqrt 1.0)))) (* 1/2 (/ 1 (sqrt 1))) (* 1/2 (/ 1 (sqrt (sqrt 1.0)))) (* 1/2 (/ 1 1)) (* 1/2 (/ (pow x (/ 2 2)) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt 1))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow x (/ 2 2)) 1)) (* 1/2 1) (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* (sqrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (pow x 2)) (* (exp (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (log (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (exp (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))) (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (* (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (* (* 1/8 (pow x 4)) (sqrt 1.0)) (* (pow (sqrt 1.0) 3) (* 1/2 (pow x 2)))) (* (pow (sqrt 1.0) 3) (sqrt 1.0)) (+ (pow (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) 3) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3)) (+ (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))) (- (* (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) 1.138 * * [simplify]: iteration 0 : 465 enodes (cost 718 ) 1.149 * * [simplify]: iteration 1 : 2264 enodes (cost 638 ) 1.192 * * [simplify]: iteration 2 : 5002 enodes (cost 638 ) 1.195 * [simplify]: Simplified to: (* 1/2 (/ (pow x 2) (sqrt 1.0))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3) (* (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) (fabs x)) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) (fabs x)) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) (fabs x)) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) (fabs x)) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (* 1/2 (* (cbrt (/ (pow x 2) (sqrt 1.0))) (cbrt (/ (pow x 2) (sqrt 1.0))))) (* 1/2 (sqrt (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) (fabs (cbrt 1.0))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (/ (* 1/2 x) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ (* 1/2 x) (fabs (cbrt 1.0))) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (/ 1/2 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ 1/2 (fabs (cbrt 1.0))) (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ (* 1/2 x) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ (* 1/2 x) (fabs (cbrt 1.0))) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (/ (* 1/2 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (fabs (cbrt 1.0))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (* (/ 1/2 (cbrt (sqrt 1.0))) (/ (fabs x) (cbrt (sqrt 1.0)))) (/ (* 1/2 (fabs x)) (fabs (cbrt 1.0))) (/ (* 1/2 (fabs x)) (sqrt (sqrt 1.0))) (/ (fabs x) 2) (/ (* 1/2 (fabs x)) (sqrt (sqrt 1.0))) (/ (fabs x) 2) (/ 1/2 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ 1/2 (fabs (cbrt 1.0))) (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ (* 1/2 x) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ (* 1/2 x) (fabs (cbrt 1.0))) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) 1/2 (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* (sqrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (pow x 2)) (exp (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (log (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (exp (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (* (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))))) (cbrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (pow (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) 3) (sqrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (* (* 1/8 (pow x 4)) (sqrt 1.0)) (* (pow (sqrt 1.0) 3) (* 1/2 (pow x 2)))) (* 1.0 1.0) (+ (pow (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) 3) (pow (* 1/2 (/ (pow x 2) (sqrt 1.0))) 3)) (+ (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (- (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (* 1/64 (* (/ (pow x 4) (pow (sqrt 1.0) 3)) (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ (* (- 1/4) (/ (* (pow x 2) (pow x 2)) 1.0)) (* 1/64 (* (/ (pow x 4) (pow (sqrt 1.0) 3)) (/ (pow x 4) (pow (sqrt 1.0) 3))))) (- (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) 1.196 * * * [progress]: adding candidates to table 1.450 * [progress]: [Phase 3 of 3] Extracting. 1.450 * * [regime]: Finding splitpoints for: (# #) 1.450 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 1.451 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.462 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 1.474 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 1.486 * * * * [regimes]: Trying to branch on x from (# #) 1.497 * * * [regime]: Found split indices: #