9.308 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (- (* (* x x) 2.0) 1.0) 0.022 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 18 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 19 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 19 enodes (cost 3 ) 0.027 * [simplify]: Simplified to: (- (* (* x x) 2.0) 1.0) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.041 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.050 * [approximate]: Taking taylor expansion of (* 2.0 (pow x 2)) in (x) around 0 0.050 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of 2.0 in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of 2.0 in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.059 * [approximate]: Taking taylor expansion of (/ 2.0 (pow x 2)) in (x) around 0 0.059 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of 2.0 in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of 2.0 in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.067 * [approximate]: Taking taylor expansion of (/ 2.0 (pow x 2)) in (x) around 0 0.067 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x 0.067 * [taylor]: Taking taylor expansion of 2.0 in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x 0.068 * [taylor]: Taking taylor expansion of 2.0 in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.075 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.075 * [approximate]: Taking taylor expansion of (- (* 2.0 (pow x 2)) 1.0) in (x) around 0 0.075 * [taylor]: Taking taylor expansion of (- (* 2.0 (pow x 2)) 1.0) in x 0.075 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.075 * [taylor]: Taking taylor expansion of 2.0 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (- (* 2.0 (pow x 2)) 1.0) in x 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of 2.0 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [approximate]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in (x) around 0 0.091 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.091 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.092 * [taylor]: Taking taylor expansion of 2.0 in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.092 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.092 * [taylor]: Taking taylor expansion of 2.0 in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [approximate]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in (x) around 0 0.112 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.112 * [taylor]: Taking taylor expansion of 2.0 in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.113 * [taylor]: Taking taylor expansion of 2.0 in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * * * [progress]: simplifying candidates 0.133 * [simplify]: Simplifying using # : (expm1 (* (* x x) 2.0)) (log1p (* (* x x) 2.0)) (* (* x x) 2.0) (* (* x x) 2.0) (+ (+ (log x) (log x)) (log 2.0)) (+ (log (* x x)) (log 2.0)) (log (* (* x x) 2.0)) (exp (* (* x x) 2.0)) (* (* (* (* x x) x) (* (* x x) x)) (* (* 2.0 2.0) 2.0)) (* (* (* (* x x) (* x x)) (* x x)) (* (* 2.0 2.0) 2.0)) (* (cbrt (* (* x x) 2.0)) (cbrt (* (* x x) 2.0))) (cbrt (* (* x x) 2.0)) (* (* (* (* x x) 2.0) (* (* x x) 2.0)) (* (* x x) 2.0)) (sqrt (* (* x x) 2.0)) (sqrt (* (* x x) 2.0)) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (* (* x x) (* (cbrt 2.0) (cbrt 2.0))) (* (* x x) (sqrt 2.0)) (* (* x x) 1) (* x 2.0) (fma (* x x) 2.0 (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) (fma (* x x) 2.0 (- (* (sqrt 1.0) (sqrt 1.0)))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) (fma (* x x) 2.0 (- (* 1.0 1))) (fma (- 1.0) 1 (* 1.0 1)) (expm1 (- (* (* x x) 2.0) 1.0)) (log1p (- (* (* x x) 2.0) 1.0)) (- 1.0) (/ (exp (* (* x x) 2.0)) (exp 1.0)) (log (- (* (* x x) 2.0) 1.0)) (exp (- (* (* x x) 2.0) 1.0)) (* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0))) (cbrt (- (* (* x x) 2.0) 1.0)) (* (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0)) (- (* (* x x) 2.0) 1.0)) (sqrt (- (* (* x x) 2.0) 1.0)) (sqrt (- (* (* x x) 2.0) 1.0)) (- (pow (* (* x x) 2.0) 3) (pow 1.0 3)) (+ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* 1.0 1.0) (* (* (* x x) 2.0) 1.0))) (- 1.0) (- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0)) (+ (* (* x x) 2.0) 1.0) (- 1.0) (* 2.0 (pow x 2)) (* 2.0 (pow x 2)) (* 2.0 (pow x 2)) (- (* 2.0 (pow x 2)) 1.0) (- (* 2.0 (pow x 2)) 1.0) (- (* 2.0 (pow x 2)) 1.0) 0.137 * * [simplify]: iteration 0 : 192 enodes (cost 194 ) 0.142 * * [simplify]: iteration 1 : 774 enodes (cost 160 ) 0.159 * * [simplify]: iteration 2 : 3831 enodes (cost 154 ) 0.238 * * [simplify]: iteration 3 : 5001 enodes (cost 154 ) 0.239 * [simplify]: Simplified to: (expm1 (* (* x x) 2.0)) (log1p (* (* x x) 2.0)) (* (* x x) 2.0) (* (* x x) 2.0) (log (* (* x x) 2.0)) (log (* (* x x) 2.0)) (log (* (* x x) 2.0)) (exp (* (* x x) 2.0)) (pow (* (* x x) 2.0) 3) (pow (* (* x x) 2.0) 3) (* (cbrt (* (* x x) 2.0)) (cbrt (* (* x x) 2.0))) (cbrt (* (* x x) 2.0)) (pow (* (* x x) 2.0) 3) (sqrt (* (* x x) 2.0)) (sqrt (* (* x x) 2.0)) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (* (* x x) (* (cbrt 2.0) (cbrt 2.0))) (* (* x x) (sqrt 2.0)) (pow x 2) (* x 2.0) (- (* (* x x) 2.0) 1.0) (- 1.0 1.0) (- (* (* x x) 2.0) 1.0) (- 1.0 1.0) (- (* (* x x) 2.0) 1.0) (- 1.0 1.0) (expm1 (- (* (* x x) 2.0) 1.0)) (log1p (- (* (* x x) 2.0) 1.0)) (- 1.0) (exp (- (* (* x x) 2.0) 1.0)) (log (- (* (* x x) 2.0) 1.0)) (exp (- (* (* x x) 2.0) 1.0)) (* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0))) (cbrt (- (* (* x x) 2.0) 1.0)) (pow (- (* (* x x) 2.0) 1.0) 3) (sqrt (- (* (* x x) 2.0) 1.0)) (sqrt (- (* (* x x) 2.0) 1.0)) (- (pow (* (* x x) 2.0) 3) (pow 1.0 3)) (fma (* 2.0 2.0) (pow x 4) (* 1.0 (fma (* x x) 2.0 1.0))) (- 1.0) (fma (* 2.0 2.0) (pow x 4) (- (* 1.0 1.0))) (fma (* x x) 2.0 1.0) (- 1.0) (* (* x x) 2.0) (* (* x x) 2.0) (* (* x x) 2.0) (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0) 0.239 * * * [progress]: adding candidates to table 0.302 * * [progress]: iteration 2 / 4 0.302 * * * [progress]: picking best candidate 0.304 * * * * [pick]: Picked # 0.304 * * * [progress]: localizing error 0.311 * * * [progress]: generating rewritten candidates 0.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.325 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.338 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.346 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.356 * * * [progress]: generating series expansions 0.356 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.356 * [approximate]: Taking taylor expansion of (- (* 2.0 (pow x 2)) 1.0) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (- (* 2.0 (pow x 2)) 1.0) in x 0.356 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of 2.0 in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (- (* 2.0 (pow x 2)) 1.0) in x 0.356 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of 2.0 in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [approximate]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.372 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of 2.0 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.372 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.372 * [taylor]: Taking taylor expansion of 2.0 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [approximate]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in (x) around 0 0.392 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.392 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.392 * [taylor]: Taking taylor expansion of 2.0 in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.393 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.393 * [taylor]: Taking taylor expansion of 2.0 in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.412 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.413 * [approximate]: Taking taylor expansion of (pow (- (* 2.0 (pow x 2)) 1.0) 3) in (x) around 0 0.413 * [taylor]: Taking taylor expansion of (pow (- (* 2.0 (pow x 2)) 1.0) 3) in x 0.413 * [taylor]: Taking taylor expansion of (- (* 2.0 (pow x 2)) 1.0) in x 0.413 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of 2.0 in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of (pow (- (* 2.0 (pow x 2)) 1.0) 3) in x 0.414 * [taylor]: Taking taylor expansion of (- (* 2.0 (pow x 2)) 1.0) in x 0.414 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.414 * [taylor]: Taking taylor expansion of 2.0 in x 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [approximate]: Taking taylor expansion of (pow (- (* 2.0 (/ 1 (pow x 2))) 1.0) 3) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (pow (- (* 2.0 (/ 1 (pow x 2))) 1.0) 3) in x 0.434 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.434 * [taylor]: Taking taylor expansion of 2.0 in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of (pow (- (* 2.0 (/ 1 (pow x 2))) 1.0) 3) in x 0.435 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.435 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.435 * [taylor]: Taking taylor expansion of 2.0 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [approximate]: Taking taylor expansion of (pow (- (* 2.0 (/ 1 (pow x 2))) 1.0) 3) in (x) around 0 0.462 * [taylor]: Taking taylor expansion of (pow (- (* 2.0 (/ 1 (pow x 2))) 1.0) 3) in x 0.462 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.462 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.463 * [taylor]: Taking taylor expansion of 2.0 in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (pow (- (* 2.0 (/ 1 (pow x 2))) 1.0) 3) in x 0.464 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.464 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.464 * [taylor]: Taking taylor expansion of 2.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.488 * [approximate]: Taking taylor expansion of (* 2.0 (pow x 2)) in (x) around 0 0.488 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of 2.0 in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of 2.0 in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.496 * [approximate]: Taking taylor expansion of (/ 2.0 (pow x 2)) in (x) around 0 0.496 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of 2.0 in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x 0.497 * [taylor]: Taking taylor expansion of 2.0 in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.504 * [approximate]: Taking taylor expansion of (/ 2.0 (pow x 2)) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of 2.0 in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (/ 2.0 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of 2.0 in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.512 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.512 * [approximate]: Taking taylor expansion of (- (* 2.0 (pow x 2)) 1.0) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (- (* 2.0 (pow x 2)) 1.0) in x 0.512 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.512 * [taylor]: Taking taylor expansion of 2.0 in x 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (- (* 2.0 (pow x 2)) 1.0) in x 0.512 * [taylor]: Taking taylor expansion of (* 2.0 (pow x 2)) in x 0.512 * [taylor]: Taking taylor expansion of 2.0 in x 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [approximate]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in (x) around 0 0.527 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.527 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.527 * [taylor]: Taking taylor expansion of 2.0 in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of 1.0 in x 0.527 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.527 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.527 * [taylor]: Taking taylor expansion of 2.0 in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [approximate]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in (x) around 0 0.547 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.547 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.547 * [taylor]: Taking taylor expansion of 2.0 in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2))) 1.0) in x 0.548 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 0.548 * [taylor]: Taking taylor expansion of 2.0 in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * * * [progress]: simplifying candidates 0.568 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (- (* (* x x) 2.0) 1.0) 3))) (log1p (cbrt (pow (- (* (* x x) 2.0) 1.0) 3))) (log (cbrt (pow (- (* (* x x) 2.0) 1.0) 3))) (exp (cbrt (pow (- (* (* x x) 2.0) 1.0) 3))) (cbrt (pow (* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0))) 3)) (cbrt (pow (cbrt (- (* (* x x) 2.0) 1.0)) 3)) (cbrt (pow (sqrt (- (* (* x x) 2.0) 1.0)) 3)) (cbrt (pow (sqrt (- (* (* x x) 2.0) 1.0)) 3)) (cbrt (pow 1 3)) (cbrt (pow (- (* (* x x) 2.0) 1.0) 3)) (cbrt (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0))) (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (* (cbrt (pow (- (* (* x x) 2.0) 1.0) 3)) (cbrt (pow (- (* (* x x) 2.0) 1.0) 3)))) (cbrt (cbrt (pow (- (* (* x x) 2.0) 1.0) 3))) (cbrt (pow (* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0))) 3)) (cbrt (pow (cbrt (- (* (* x x) 2.0) 1.0)) 3)) (cbrt (pow (sqrt (- (* (* x x) 2.0) 1.0)) 3)) (cbrt (pow (sqrt (- (* (* x x) 2.0) 1.0)) 3)) (cbrt (pow 1 3)) (cbrt (pow (- (* (* x x) 2.0) 1.0) 3)) (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0))) (cbrt (sqrt (pow (- (* (* x x) 2.0) 1.0) 3))) (cbrt (sqrt (pow (- (* (* x x) 2.0) 1.0) 3))) (cbrt 1) (cbrt (pow (- (* (* x x) 2.0) 1.0) 3)) (cbrt (pow (- (* (* x x) 2.0) 1.0) (/ 3 2))) (cbrt (pow (- (* (* x x) 2.0) 1.0) (/ 3 2))) (cbrt (pow (- (pow (* (* x x) 2.0) 3) (pow 1.0 3)) 3)) (cbrt (pow (+ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* 1.0 1.0) (* (* (* x x) 2.0) 1.0))) 3)) (cbrt (pow (- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0)) 3)) (cbrt (pow (+ (* (* x x) 2.0) 1.0) 3)) (* (cbrt (cbrt (pow (- (* (* x x) 2.0) 1.0) 3))) (cbrt (cbrt (pow (- (* (* x x) 2.0) 1.0) 3)))) (cbrt (cbrt (pow (- (* (* x x) 2.0) 1.0) 3))) (* (* (cbrt (pow (- (* (* x x) 2.0) 1.0) 3)) (cbrt (pow (- (* (* x x) 2.0) 1.0) 3))) (cbrt (pow (- (* (* x x) 2.0) 1.0) 3))) (sqrt (cbrt (pow (- (* (* x x) 2.0) 1.0) 3))) (sqrt (cbrt (pow (- (* (* x x) 2.0) 1.0) 3))) (expm1 (pow (- (* (* x x) 2.0) 1.0) 3)) (log1p (pow (- (* (* x x) 2.0) 1.0) 3)) (* (log (- (* (* x x) 2.0) 1.0)) 3) (* (log (- (* (* x x) 2.0) 1.0)) 3) (* 1 3) (pow (- (* (* x x) 2.0) 1.0) (* (cbrt 3) (cbrt 3))) (pow (- (* (* x x) 2.0) 1.0) (sqrt 3)) (pow (- (* (* x x) 2.0) 1.0) 1) (pow (* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0))) 3) (pow (cbrt (- (* (* x x) 2.0) 1.0)) 3) (pow (sqrt (- (* (* x x) 2.0) 1.0)) 3) (pow (sqrt (- (* (* x x) 2.0) 1.0)) 3) (pow 1 3) (pow (- (* (* x x) 2.0) 1.0) 3) (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0)) (log (pow (- (* (* x x) 2.0) 1.0) 3)) (exp (pow (- (* (* x x) 2.0) 1.0) 3)) (* (cbrt (pow (- (* (* x x) 2.0) 1.0) 3)) (cbrt (pow (- (* (* x x) 2.0) 1.0) 3))) (cbrt (pow (- (* (* x x) 2.0) 1.0) 3)) (* (* (pow (- (* (* x x) 2.0) 1.0) 3) (pow (- (* (* x x) 2.0) 1.0) 3)) (pow (- (* (* x x) 2.0) 1.0) 3)) (pow (* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0))) 3) (pow (cbrt (- (* (* x x) 2.0) 1.0)) 3) (pow (sqrt (- (* (* x x) 2.0) 1.0)) 3) (pow (sqrt (- (* (* x x) 2.0) 1.0)) 3) (pow 1 3) (pow (- (* (* x x) 2.0) 1.0) 3) (pow (- (pow (* (* x x) 2.0) 3) (pow 1.0 3)) 3) (pow (+ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* 1.0 1.0) (* (* (* x x) 2.0) 1.0))) 3) (pow (- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0)) 3) (pow (+ (* (* x x) 2.0) 1.0) 3) (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0)) (sqrt (pow (- (* (* x x) 2.0) 1.0) 3)) (sqrt (pow (- (* (* x x) 2.0) 1.0) 3)) (pow (- (* (* x x) 2.0) 1.0) (/ 3 2)) (pow (- (* (* x x) 2.0) 1.0) (/ 3 2)) (expm1 (* (* x x) 2.0)) (log1p (* (* x x) 2.0)) (* (* x x) 2.0) (* (* x x) 2.0) (+ (+ (log x) (log x)) (log 2.0)) (+ (log (* x x)) (log 2.0)) (log (* (* x x) 2.0)) (exp (* (* x x) 2.0)) (* (* (* (* x x) x) (* (* x x) x)) (* (* 2.0 2.0) 2.0)) (* (* (* (* x x) (* x x)) (* x x)) (* (* 2.0 2.0) 2.0)) (* (cbrt (* (* x x) 2.0)) (cbrt (* (* x x) 2.0))) (cbrt (* (* x x) 2.0)) (* (* (* (* x x) 2.0) (* (* x x) 2.0)) (* (* x x) 2.0)) (sqrt (* (* x x) 2.0)) (sqrt (* (* x x) 2.0)) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (* (* x x) (* (cbrt 2.0) (cbrt 2.0))) (* (* x x) (sqrt 2.0)) (* (* x x) 1) (* x 2.0) (fma (* x x) 2.0 (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) (fma (* x x) 2.0 (- (* (sqrt 1.0) (sqrt 1.0)))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) (fma (* x x) 2.0 (- (* 1.0 1))) (fma (- 1.0) 1 (* 1.0 1)) (expm1 (- (* (* x x) 2.0) 1.0)) (log1p (- (* (* x x) 2.0) 1.0)) (- 1.0) (/ (exp (* (* x x) 2.0)) (exp 1.0)) (log (- (* (* x x) 2.0) 1.0)) (exp (- (* (* x x) 2.0) 1.0)) (* (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (- (* (* x x) 2.0) 1.0))) (cbrt (- (* (* x x) 2.0) 1.0)) (* (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0)) (- (* (* x x) 2.0) 1.0)) (sqrt (- (* (* x x) 2.0) 1.0)) (sqrt (- (* (* x x) 2.0) 1.0)) (- (pow (* (* x x) 2.0) 3) (pow 1.0 3)) (+ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* 1.0 1.0) (* (* (* x x) 2.0) 1.0))) (- 1.0) (- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0)) (+ (* (* x x) 2.0) 1.0) (- 1.0) (- (* 2.0 (pow x 2)) 1.0) (- (* 2.0 (pow x 2)) 1.0) (- (* 2.0 (pow x 2)) 1.0) (- (* 6.0 (pow x 2)) (+ (* 12.0 (pow x 4)) 1.0)) (- (+ (* 6.0 (pow x 2)) (* 8.0 (pow x 6))) (* 12.0 (pow x 4))) (- (+ (* 6.0 (pow x 2)) (* 8.0 (pow x 6))) (* 12.0 (pow x 4))) (* 2.0 (pow x 2)) (* 2.0 (pow x 2)) (* 2.0 (pow x 2)) (- (* 2.0 (pow x 2)) 1.0) (- (* 2.0 (pow x 2)) 1.0) (- (* 2.0 (pow x 2)) 1.0) 0.574 * * [simplify]: iteration 0 : 335 enodes (cost 559 ) 0.581 * * [simplify]: iteration 1 : 1453 enodes (cost 499 ) 0.612 * * [simplify]: iteration 2 : 5001 enodes (cost 491 ) 0.614 * [simplify]: Simplified to: (expm1 (- (* (* x x) 2.0) 1.0)) (log1p (- (* (* x x) 2.0) 1.0)) (log (- (* (* x x) 2.0) 1.0)) (exp (- (* (* x x) 2.0) 1.0)) (cbrt (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0))) (cbrt (- (* (* x x) 2.0) 1.0)) (sqrt (- (* (* x x) 2.0) 1.0)) (sqrt (- (* (* x x) 2.0) 1.0)) 1 (- (* (* x x) 2.0) 1.0) (cbrt (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0))) (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0))) (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0))) (cbrt (- (* (* x x) 2.0) 1.0)) (sqrt (- (* (* x x) 2.0) 1.0)) (sqrt (- (* (* x x) 2.0) 1.0)) 1 (- (* (* x x) 2.0) 1.0) (cbrt (- (* (* x x) 2.0) 1.0)) (cbrt (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0))) (cbrt (sqrt (pow (- (* (* x x) 2.0) 1.0) 3))) (cbrt (sqrt (pow (- (* (* x x) 2.0) 1.0) 3))) 1 (- (* (* x x) 2.0) 1.0) (sqrt (- (* (* x x) 2.0) 1.0)) (sqrt (- (* (* x x) 2.0) 1.0)) (- (pow (* (* x x) 2.0) 3) (pow 1.0 3)) (fma (* 2.0 2.0) (pow x 4) (* 1.0 (fma (* x x) 2.0 1.0))) (fma (pow x 4) (* 2.0 2.0) (- (* 1.0 1.0))) (fma (* x x) 2.0 1.0) (cbrt (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0))) (cbrt (- (* (* x x) 2.0) 1.0)) (pow (- (* (* x x) 2.0) 1.0) 3) (sqrt (- (* (* x x) 2.0) 1.0)) (sqrt (- (* (* x x) 2.0) 1.0)) (expm1 (pow (- (* (* x x) 2.0) 1.0) 3)) (log1p (pow (- (* (* x x) 2.0) 1.0) 3)) (log (pow (- (* (* x x) 2.0) 1.0) 3)) (log (pow (- (* (* x x) 2.0) 1.0) 3)) 3 (pow (- (* (* x x) 2.0) 1.0) (* (cbrt 3) (cbrt 3))) (pow (- (* (* x x) 2.0) 1.0) (sqrt 3)) (- (* (* x x) 2.0) 1.0) (pow (- (* (* x x) 2.0) 1.0) 2) (- (* (* x x) 2.0) 1.0) (pow (- (* (* x x) 2.0) 1.0) 3/2) (pow (- (* (* x x) 2.0) 1.0) 3/2) 1 (pow (- (* (* x x) 2.0) 1.0) 3) (pow (- (* (* x x) 2.0) 1.0) 2) (log (pow (- (* (* x x) 2.0) 1.0) 3)) (exp (pow (- (* (* x x) 2.0) 1.0) 3)) (pow (- (* (* x x) 2.0) 1.0) 2) (- (* (* x x) 2.0) 1.0) (pow (pow (- (* (* x x) 2.0) 1.0) 3) 3) (pow (- (* (* x x) 2.0) 1.0) 2) (- (* (* x x) 2.0) 1.0) (pow (- (* (* x x) 2.0) 1.0) 3/2) (pow (- (* (* x x) 2.0) 1.0) 3/2) 1 (pow (- (* (* x x) 2.0) 1.0) 3) (pow (- (pow (* (* x x) 2.0) 3) (pow 1.0 3)) 3) (pow (fma (pow x 4) (* 2.0 2.0) (fma 1.0 1.0 (* (* (* x x) 2.0) 1.0))) 3) (pow (fma (pow x 4) (* 2.0 2.0) (- (* 1.0 1.0))) 3) (pow (fma (* x x) 2.0 1.0) 3) (pow (- (* (* x x) 2.0) 1.0) 2) (sqrt (pow (- (* (* x x) 2.0) 1.0) 3)) (sqrt (pow (- (* (* x x) 2.0) 1.0) 3)) (pow (- (* (* x x) 2.0) 1.0) 3/2) (pow (- (* (* x x) 2.0) 1.0) 3/2) (expm1 (* (* x x) 2.0)) (log1p (* (* x x) 2.0)) (* (* x x) 2.0) (* (* x x) 2.0) (log (* (* x x) 2.0)) (log (* (* x x) 2.0)) (log (* (* x x) 2.0)) (exp (* (* x x) 2.0)) (pow (* (* x x) 2.0) 3) (pow (* (* x x) 2.0) 3) (* (cbrt (* (* x x) 2.0)) (cbrt (* (* x x) 2.0))) (cbrt (* (* x x) 2.0)) (pow (* (* x x) 2.0) 3) (sqrt (* (* x x) 2.0)) (sqrt (* (* x x) 2.0)) (* x (sqrt 2.0)) (* x (sqrt 2.0)) (* (* x x) (* (cbrt 2.0) (cbrt 2.0))) (* (* x x) (sqrt 2.0)) (pow x 2) (* x 2.0) (- (* (* x x) 2.0) 1.0) (fma (- 1.0) 1 1.0) (- (* (* x x) 2.0) 1.0) (fma (- 1.0) 1 1.0) (- (* (* x x) 2.0) 1.0) (fma (- 1.0) 1 1.0) (expm1 (- (* (* x x) 2.0) 1.0)) (log1p (- (* (* x x) 2.0) 1.0)) (- 1.0) (exp (- (* (* x x) 2.0) 1.0)) (log (- (* (* x x) 2.0) 1.0)) (exp (- (* (* x x) 2.0) 1.0)) (cbrt (* (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0))) (cbrt (- (* (* x x) 2.0) 1.0)) (pow (- (* (* x x) 2.0) 1.0) 3) (sqrt (- (* (* x x) 2.0) 1.0)) (sqrt (- (* (* x x) 2.0) 1.0)) (- (pow (* (* x x) 2.0) 3) (pow 1.0 3)) (fma (* 2.0 2.0) (pow x 4) (* 1.0 (fma (* x x) 2.0 1.0))) (- 1.0) (fma (pow x 4) (* 2.0 2.0) (- (* 1.0 1.0))) (fma (* x x) 2.0 1.0) (- 1.0) (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0) (fma 6.0 (pow x 2) (- (fma 12.0 (pow x 4) 1.0))) (fma (pow x 2) 6.0 (- (* 8.0 (pow x 6)) (* 12.0 (pow x 4)))) (fma (pow x 2) 6.0 (- (* 8.0 (pow x 6)) (* 12.0 (pow x 4)))) (* (* x x) 2.0) (* (* x x) 2.0) (* (* x x) 2.0) (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0) (- (* (* x x) 2.0) 1.0) 0.615 * * * [progress]: adding candidates to table 0.781 * [progress]: [Phase 3 of 3] Extracting. 0.781 * * [regime]: Finding splitpoints for: (# #) 0.781 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (* (* x x) 2.0) (- (* (* x x) 2.0) 1.0) x) 0.781 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.790 * * * * [regimes]: Trying to branch on (* (* x x) 2.0) from (# #) 0.799 * * * * [regimes]: Trying to branch on (- (* (* x x) 2.0) 1.0) from (# #) 0.807 * * * * [regimes]: Trying to branch on x from (# #) 0.817 * * * [regime]: Found split indices: #