24.798 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [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 ) 0.025 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.027 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.036 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.036 * [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 0.037 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.037 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.050 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [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 0.075 * [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 # : (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.098 * * [simplify]: iteration 0 : 165 enodes (cost 131 ) 0.102 * * [simplify]: iteration 1 : 568 enodes (cost 128 ) 0.113 * * [simplify]: iteration 2 : 2782 enodes (cost 126 ) 0.175 * * [simplify]: iteration 3 : 5001 enodes (cost 123 ) 0.176 * [simplify]: Simplified to: (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (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)))) (hypot x (sqrt 1.0)) 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))))) (fma (- (/ 0.125 (pow x 3))) (/ -1 (sqrt -1)) (fma (sqrt -1) x (/ (/ 0.5 (sqrt -1)) x))) (fma (/ 0.125 (* (sqrt -1) (pow x 3))) -1 (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) 0.176 * * * [progress]: adding candidates to table 0.210 * * [progress]: iteration 2 / 4 0.210 * * * [progress]: picking best candidate 0.212 * * * * [pick]: Picked # 0.212 * * * [progress]: localizing error 0.223 * * * [progress]: generating rewritten candidates 0.223 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.224 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.227 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.228 * * * [progress]: generating series expansions 0.228 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.229 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (- 1.0 (pow x 2))))) in (x) around 0 0.229 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (- 1.0 (pow x 2))))) in x 0.229 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (- 1.0 (pow x 2))))) 1) 0.229 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (- 1.0 (pow x 2))))) in x 0.229 * [taylor]: Taking taylor expansion of (log1p (sqrt (- 1.0 (pow x 2)))) in x 0.229 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (- 1.0 (pow x 2))))) 0.229 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1.0 (pow x 2)))) in x 0.229 * [taylor]: Taking taylor expansion of 1 in x 0.229 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.229 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.229 * [taylor]: Taking taylor expansion of 1.0 in x 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of 1 in x 0.233 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (- 1.0 (pow x 2))))) in x 0.233 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (- 1.0 (pow x 2))))) 1) 0.233 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (- 1.0 (pow x 2))))) in x 0.233 * [taylor]: Taking taylor expansion of (log1p (sqrt (- 1.0 (pow x 2)))) in x 0.233 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (- 1.0 (pow x 2))))) 0.233 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1.0 (pow x 2)))) in x 0.233 * [taylor]: Taking taylor expansion of 1 in x 0.233 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.233 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of 1 in x 0.353 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.353 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.353 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) 1) 0.353 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.353 * [taylor]: Taking taylor expansion of (log1p (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.353 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.353 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.353 * [taylor]: Taking taylor expansion of 1 in x 0.353 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.353 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of 1 in x 0.360 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.360 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) 1) 0.360 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.360 * [taylor]: Taking taylor expansion of (log1p (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.360 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.360 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.360 * [taylor]: Taking taylor expansion of 1 in x 0.360 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of 1 in x 0.407 * [approximate]: Taking taylor expansion of (expm1 (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.407 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.407 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) 1) 0.407 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.407 * [taylor]: Taking taylor expansion of (log1p (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.407 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.407 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.407 * [taylor]: Taking taylor expansion of 1 in x 0.407 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.407 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of 1 in x 0.413 * [taylor]: Taking taylor expansion of (expm1 (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.413 * [taylor]: Rewrote expression to (- (exp (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) 1) 0.413 * [taylor]: Taking taylor expansion of (exp (log1p (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.413 * [taylor]: Taking taylor expansion of (log1p (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.413 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.413 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.413 * [taylor]: Taking taylor expansion of 1 in x 0.413 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of 1 in x 0.454 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.454 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.454 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.454 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.456 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.494 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.495 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.514 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.515 * [approximate]: Taking taylor expansion of (log1p (sqrt (- 1.0 (pow x 2)))) in (x) around 0 0.515 * [taylor]: Taking taylor expansion of (log1p (sqrt (- 1.0 (pow x 2)))) in x 0.515 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (- 1.0 (pow x 2))))) 0.515 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1.0 (pow x 2)))) in x 0.515 * [taylor]: Taking taylor expansion of 1 in x 0.515 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.515 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (log1p (sqrt (- 1.0 (pow x 2)))) in x 0.517 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (- 1.0 (pow x 2))))) 0.517 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1.0 (pow x 2)))) in x 0.518 * [taylor]: Taking taylor expansion of 1 in x 0.518 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.518 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.610 * [approximate]: Taking taylor expansion of (log1p (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.610 * [taylor]: Taking taylor expansion of (log1p (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.610 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.610 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.610 * [taylor]: Taking taylor expansion of 1 in x 0.610 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (log1p (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.614 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.614 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.614 * [taylor]: Taking taylor expansion of 1 in x 0.614 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.667 * [approximate]: Taking taylor expansion of (log1p (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.667 * [taylor]: Taking taylor expansion of (log1p (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.667 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.667 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.667 * [taylor]: Taking taylor expansion of 1 in x 0.667 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.667 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (log1p (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.671 * [taylor]: Rewrote expression to (log (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) 0.671 * [taylor]: Taking taylor expansion of (+ 1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.671 * [taylor]: Taking taylor expansion of 1 in x 0.672 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.724 * * * [progress]: simplifying candidates 0.724 * [simplify]: Simplifying using # : (exp (log1p (sqrt (- 1.0 (* x x))))) (expm1 (expm1 (log1p (sqrt (- 1.0 (* x x)))))) (log1p (expm1 (log1p (sqrt (- 1.0 (* x x)))))) (log (expm1 (log1p (sqrt (- 1.0 (* x x)))))) (exp (expm1 (log1p (sqrt (- 1.0 (* x x)))))) (* (cbrt (expm1 (log1p (sqrt (- 1.0 (* x x)))))) (cbrt (expm1 (log1p (sqrt (- 1.0 (* x x))))))) (cbrt (expm1 (log1p (sqrt (- 1.0 (* x x)))))) (* (* (expm1 (log1p (sqrt (- 1.0 (* x x))))) (expm1 (log1p (sqrt (- 1.0 (* x x)))))) (expm1 (log1p (sqrt (- 1.0 (* x x)))))) (sqrt (expm1 (log1p (sqrt (- 1.0 (* x x)))))) (sqrt (expm1 (log1p (sqrt (- 1.0 (* x x)))))) (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (+ 1 (sqrt (- 1.0 (* x x)))) (expm1 (log1p (sqrt (- 1.0 (* x x))))) (log1p (log1p (sqrt (- 1.0 (* x x))))) (log (log1p (sqrt (- 1.0 (* x x))))) (exp (log1p (sqrt (- 1.0 (* x x))))) (* (cbrt (log1p (sqrt (- 1.0 (* x x))))) (cbrt (log1p (sqrt (- 1.0 (* x x)))))) (cbrt (log1p (sqrt (- 1.0 (* x x))))) (* (* (log1p (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x))))) (log1p (sqrt (- 1.0 (* x x))))) (sqrt (log1p (sqrt (- 1.0 (* x x))))) (sqrt (log1p (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))))) (- (+ (/ (exp (- (log (sqrt -1)) (log (/ 1 x)))) (* (sqrt -1) x)) (+ (exp (- (log (sqrt -1)) (log (/ 1 x)))) (* 1/2 (/ (exp (- (log (sqrt -1)) (log (/ 1 x)))) (* (pow (sqrt -1) 2) (pow x 2)))))) 1) (- (+ (* 1/2 (/ (exp (- (log (sqrt -1)) (log (/ -1 x)))) (* (pow x 2) (pow (sqrt -1) 2)))) (exp (- (log (sqrt -1)) (log (/ -1 x))))) (+ (/ (exp (- (log (sqrt -1)) (log (/ -1 x)))) (* x (sqrt -1))) 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)))) (- (log (+ (sqrt 1.0) 1)) (+ (* 1/2 (/ (pow x 2) (* (+ (sqrt 1.0) 1) (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 4) (* (+ (sqrt 1.0) 1) (pow (sqrt 1.0) 3)))) (* 1/8 (/ (pow x 4) (* (pow (+ (sqrt 1.0) 1) 2) (pow (sqrt 1.0) 2))))))) (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (+ (log (/ 1 x)) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) (- (+ (log (sqrt -1)) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (/ 1 (* x (sqrt -1))) (log (/ -1 x)))) 0.729 * * [simplify]: iteration 0 : 334 enodes (cost 373 ) 0.735 * * [simplify]: iteration 1 : 1275 enodes (cost 344 ) 0.757 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.759 * [simplify]: Simplified to: (exp (log1p (sqrt (- 1.0 (* x x))))) (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (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)))) (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)))) (hypot x (sqrt 1.0)) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (+ 1 (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x))) (log1p (log1p (sqrt (- 1.0 (* x x))))) (log (log1p (sqrt (- 1.0 (* x x))))) (exp (log1p (sqrt (- 1.0 (* x x))))) (* (cbrt (log1p (sqrt (- 1.0 (* x x))))) (cbrt (log1p (sqrt (- 1.0 (* x x)))))) (cbrt (log1p (sqrt (- 1.0 (* x x))))) (pow (log1p (sqrt (- 1.0 (* x x)))) 3) (sqrt (log1p (sqrt (- 1.0 (* x x))))) (sqrt (log1p (sqrt (- 1.0 (* x x))))) (- (sqrt 1.0) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (+ (/ (sqrt -1) (/ 1 x)) (+ (* (/ (sqrt -1) x) (/ x (sqrt -1))) (* 1/2 (- (* (/ (sqrt -1) (pow x 2)) (/ x -1)) 2)))) (- (/ (sqrt -1) (/ -1 x)) (- (fma 1/2 2 (/ (sqrt -1) (* (* (sqrt -1) x) (/ -1 x)))) (* (/ (sqrt -1) (* (pow x 2) (/ -1 x))) -1/2))) (- (sqrt 1.0) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma (- 0.125) (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (fma x (sqrt -1) (/ 0.5 (* (sqrt -1) x)))) (fma 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) (- (- (log1p (sqrt 1.0)) (fma 1/2 (/ x (/ (+ (* (sqrt 1.0) 1) 1.0) x)) (* (/ 1/8 1.0) (/ (pow x 4) (pow (+ (sqrt 1.0) 1) 2))))) (* (/ 1/8 (fma (sqrt 1.0) 1 1.0)) (/ (pow x 4) 1.0))) (- (/ 1 (* x (sqrt -1))) (- (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (log x)) (log (sqrt -1)))) (- (- (fma 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (log (sqrt -1))) (log (/ -1 x))) (/ 1 (* x (sqrt -1)))) 0.759 * * * [progress]: adding candidates to table 0.866 * [progress]: [Phase 3 of 3] Extracting. 0.866 * * [regime]: Finding splitpoints for: (# #) 0.866 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 0.866 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.879 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 0.887 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 0.896 * * * * [regimes]: Trying to branch on x from (# #) 0.905 * * * [regime]: Found split indices: #