14.739 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.039 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.041 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.042 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.043 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.043 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.045 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.057 * * * [progress]: generating series expansions 0.057 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.057 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.057 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.060 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.082 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.083 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.120 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.120 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.120 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.141 * * * [progress]: simplifying candidates 0.141 * [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)))) 0.145 * * [simplify]: iteration 0 : 165 enodes (cost 131 ) 0.148 * * [simplify]: iteration 1 : 568 enodes (cost 128 ) 0.161 * * [simplify]: iteration 2 : 2782 enodes (cost 126 ) 0.227 * * [simplify]: iteration 3 : 5001 enodes (cost 123 ) 0.229 * [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))))) 0.229 * * * [progress]: adding candidates to table 0.269 * * [progress]: iteration 2 / 4 0.269 * * * [progress]: picking best candidate 0.272 * * * * [pick]: Picked # 0.272 * * * [progress]: localizing error 0.280 * * * [progress]: generating rewritten candidates 0.280 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.281 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.284 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.285 * * * [progress]: generating series expansions 0.285 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.285 * [approximate]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (pow x 2)))) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (pow x 2)))) in x 0.285 * [taylor]: Rewrote expression to (- (exp (sqrt (- 1.0 (pow x 2)))) 1) 0.286 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of 1 in x 0.287 * [taylor]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (pow x 2)))) in x 0.288 * [taylor]: Rewrote expression to (- (exp (sqrt (- 1.0 (pow x 2)))) 1) 0.288 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in x 0.288 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.288 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of 1 in x 0.350 * [approximate]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.350 * [taylor]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.350 * [taylor]: Rewrote expression to (- (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 1) 0.350 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of 1 in x 0.353 * [taylor]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.353 * [taylor]: Rewrote expression to (- (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 1) 0.353 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 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 0.356 * [taylor]: Taking taylor expansion of 1 in x 0.359 * [approximate]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.359 * [taylor]: Rewrote expression to (- (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 1) 0.360 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 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 0.362 * [taylor]: Taking taylor expansion of 1 in x 0.363 * [taylor]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.363 * [taylor]: Rewrote expression to (- (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 1) 0.363 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.363 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of 1 in x 0.369 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.369 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.370 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.384 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.384 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.405 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.428 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.428 * [approximate]: Taking taylor expansion of (log1p (expm1 (sqrt (- 1.0 (pow x 2))))) in (x) around 0 0.428 * [taylor]: Taking taylor expansion of (log1p (expm1 (sqrt (- 1.0 (pow x 2))))) in x 0.429 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (sqrt (- 1.0 (pow x 2)))))) 0.429 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (sqrt (- 1.0 (pow x 2))))) in x 0.429 * [taylor]: Taking taylor expansion of 1 in x 0.429 * [taylor]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (pow x 2)))) in x 0.429 * [taylor]: Rewrote expression to (- (exp (sqrt (- 1.0 (pow x 2)))) 1) 0.429 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in x 0.429 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.429 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of 1 in x 0.434 * [taylor]: Taking taylor expansion of (log1p (expm1 (sqrt (- 1.0 (pow x 2))))) in x 0.434 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (sqrt (- 1.0 (pow x 2)))))) 0.434 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (sqrt (- 1.0 (pow x 2))))) in x 0.434 * [taylor]: Taking taylor expansion of 1 in x 0.434 * [taylor]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (pow x 2)))) in x 0.434 * [taylor]: Rewrote expression to (- (exp (sqrt (- 1.0 (pow x 2)))) 1) 0.434 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (pow x 2)))) in x 0.434 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.434 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of 1 in x 0.551 * [approximate]: Taking taylor expansion of (log1p (expm1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.551 * [taylor]: Taking taylor expansion of (log1p (expm1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.551 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))))) 0.551 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.551 * [taylor]: Taking taylor expansion of 1 in x 0.551 * [taylor]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.551 * [taylor]: Rewrote expression to (- (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 1) 0.551 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of 1 in x 0.555 * [taylor]: Taking taylor expansion of (log1p (expm1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.555 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))))) 0.555 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.555 * [taylor]: Taking taylor expansion of 1 in x 0.555 * [taylor]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.555 * [taylor]: Rewrote expression to (- (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 1) 0.555 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.555 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.555 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.555 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of 1 in x 0.586 * [approximate]: Taking taylor expansion of (log1p (expm1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.586 * [taylor]: Taking taylor expansion of (log1p (expm1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.587 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))))) 0.587 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.587 * [taylor]: Taking taylor expansion of 1 in x 0.587 * [taylor]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.587 * [taylor]: Rewrote expression to (- (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 1) 0.587 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.587 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of 1 in x 0.590 * [taylor]: Taking taylor expansion of (log1p (expm1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.590 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))))) 0.590 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.590 * [taylor]: Taking taylor expansion of 1 in x 0.590 * [taylor]: Taking taylor expansion of (expm1 (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.590 * [taylor]: Rewrote expression to (- (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) 1) 0.590 * [taylor]: Taking taylor expansion of (exp (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.590 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of 1 in x 0.618 * * * [progress]: simplifying candidates 0.619 * [simplify]: Simplifying using # : (exp (sqrt (- 1.0 (* x x)))) (expm1 (expm1 (sqrt (- 1.0 (* x x))))) (log1p (expm1 (sqrt (- 1.0 (* x x))))) (log (expm1 (sqrt (- 1.0 (* x x))))) (exp (expm1 (sqrt (- 1.0 (* x x))))) (* (cbrt (expm1 (sqrt (- 1.0 (* x x))))) (cbrt (expm1 (sqrt (- 1.0 (* x x)))))) (cbrt (expm1 (sqrt (- 1.0 (* x x))))) (* (* (expm1 (sqrt (- 1.0 (* x x)))) (expm1 (sqrt (- 1.0 (* x x))))) (expm1 (sqrt (- 1.0 (* x x))))) (sqrt (expm1 (sqrt (- 1.0 (* x x))))) (sqrt (expm1 (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 (expm1 (sqrt (- 1.0 (* x x))))) (expm1 (log1p (expm1 (sqrt (- 1.0 (* x x)))))) (log1p (log1p (expm1 (sqrt (- 1.0 (* x x)))))) (log (log1p (expm1 (sqrt (- 1.0 (* x x)))))) (exp (log1p (expm1 (sqrt (- 1.0 (* x x)))))) (* (cbrt (log1p (expm1 (sqrt (- 1.0 (* x x)))))) (cbrt (log1p (expm1 (sqrt (- 1.0 (* x x))))))) (cbrt (log1p (expm1 (sqrt (- 1.0 (* x x)))))) (* (* (log1p (expm1 (sqrt (- 1.0 (* x x))))) (log1p (expm1 (sqrt (- 1.0 (* x x)))))) (log1p (expm1 (sqrt (- 1.0 (* x x)))))) (sqrt (log1p (expm1 (sqrt (- 1.0 (* x x)))))) (sqrt (log1p (expm1 (sqrt (- 1.0 (* x x)))))) (- (+ (exp (sqrt 1.0)) (* 1/8 (/ (* (pow x 4) (exp (sqrt 1.0))) (pow (sqrt 1.0) 2)))) (+ (* 1/2 (/ (* (exp (sqrt 1.0)) (pow x 2)) (sqrt 1.0))) (+ (* 1/8 (/ (* (pow x 4) (exp (sqrt 1.0))) (pow (sqrt 1.0) 3))) 1))) (- (exp (sqrt (- 1.0 (pow x 2)))) 1) (- (exp (sqrt (- 1.0 (pow x 2)))) 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)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (- 1.0 (pow x 2))) (sqrt (- 1.0 (pow x 2))) 0.623 * * [simplify]: iteration 0 : 241 enodes (cost 294 ) 0.628 * * [simplify]: iteration 1 : 852 enodes (cost 280 ) 0.645 * * [simplify]: iteration 2 : 4208 enodes (cost 272 ) 0.736 * * [simplify]: iteration 3 : 5001 enodes (cost 270 ) 0.738 * [simplify]: Simplified to: (exp (sqrt (- 1.0 (* x x)))) (expm1 (expm1 (sqrt (- 1.0 (* x x))))) (sqrt (- 1.0 (* x x))) (log (expm1 (sqrt (- 1.0 (* x x))))) (exp (expm1 (sqrt (- 1.0 (* x x))))) (* (cbrt (expm1 (sqrt (- 1.0 (* x x))))) (cbrt (expm1 (sqrt (- 1.0 (* x x)))))) (cbrt (expm1 (sqrt (- 1.0 (* x x))))) (pow (expm1 (sqrt (- 1.0 (pow x 2)))) 3) (sqrt (expm1 (sqrt (- 1.0 (* x x))))) (sqrt (expm1 (sqrt (- 1.0 (* x x))))) (expm1 (sqrt (- 1.0 (pow x 2)))) (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)))) (exp (sqrt (- 1.0 (* x x)))) (expm1 (sqrt (- 1.0 (pow x 2)))) (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)))) (fma 1/8 (/ (exp (sqrt 1.0)) (/ 1.0 (pow x 4))) (- (exp (sqrt 1.0)) (fma 1/2 (/ (* (exp (sqrt 1.0)) (pow x 2)) (sqrt 1.0)) (fma 1/8 (/ (* (pow x 4) (exp (sqrt 1.0))) (pow (sqrt 1.0) 3)) 1)))) (expm1 (sqrt (- 1.0 (pow x 2)))) (expm1 (sqrt (- 1.0 (pow x 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 (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))))) (- (sqrt 1.0) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))) 0.738 * * * [progress]: adding candidates to table 0.831 * * [progress]: iteration 3 / 4 0.831 * * * [progress]: picking best candidate 0.833 * * * * [pick]: Picked # 0.833 * * * [progress]: localizing error 0.840 * * * [progress]: generating rewritten candidates 0.840 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.847 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.852 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.857 * * * [progress]: generating series expansions 0.857 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.858 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.858 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.858 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.858 * [taylor]: Taking taylor expansion of 1.0 in x 0.858 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.859 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.881 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.881 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.881 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.886 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.886 * [taylor]: Taking taylor expansion of 1.0 in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.915 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.916 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.916 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.916 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.920 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.949 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.949 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (pow x 2))) 3) in (x) around 0 0.950 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (pow x 2))) 3) in x 0.950 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.950 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (pow x 2))) 3) in x 0.952 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.952 * [taylor]: Taking taylor expansion of x in x 1.028 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in (x) around 0 1.028 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 1.028 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.028 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 1.031 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.082 * [approximate]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in (x) around 0 1.082 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 1.082 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.082 * [taylor]: Taking taylor expansion of 1.0 in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (pow (sqrt (- 1.0 (/ 1 (pow x 2)))) 3) in x 1.085 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.085 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.133 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.134 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.134 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.134 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.135 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.135 * [taylor]: Taking taylor expansion of 1.0 in x 1.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.149 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.149 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.149 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.175 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.175 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.175 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.178 * [taylor]: Taking taylor expansion of 1.0 in x 1.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.204 * * * [progress]: simplifying candidates 1.207 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (log1p (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (log (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (exp (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (pow (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 3)) (cbrt (pow (cbrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 3)) (cbrt (pow (sqrt (cbrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (+ (sqrt 1.0) x)) 3)) (cbrt (pow (sqrt (- (sqrt 1.0) x)) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (* (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)))) (cbrt (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (pow (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 3)) (cbrt (pow (cbrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 3)) (cbrt (pow (sqrt (cbrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (+ (sqrt 1.0) x)) 3)) (cbrt (pow (sqrt (- (sqrt 1.0) x)) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow (sqrt (sqrt (- 1.0 (* x x)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (sqrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt 1) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) (/ 3 2))) (cbrt (pow (sqrt (- 1.0 (* x x))) (/ 3 2))) (cbrt (pow (sqrt (- (pow 1.0 3) (pow (* x x) 3))) 3)) (cbrt (pow (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) 3)) (cbrt (pow (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) 3)) (cbrt (pow (sqrt (+ 1.0 (* x x))) 3)) (* (cbrt (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (cbrt (pow (sqrt (- 1.0 (* x x))) 3)))) (cbrt (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (* (* (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (sqrt (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (sqrt (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (expm1 (pow (sqrt (- 1.0 (* x x))) 3)) (log1p (pow (sqrt (- 1.0 (* x x))) 3)) (* (log (sqrt (- 1.0 (* x x)))) 3) (* (log (sqrt (- 1.0 (* x x)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (- 1.0 (* x x))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (- 1.0 (* x x))) (sqrt 3)) (pow (sqrt (- 1.0 (* x x))) 1) (pow (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 3) (pow (cbrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 3) (pow (sqrt (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt 1) 3) (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (+ (sqrt 1.0) x)) 3) (pow (sqrt (- (sqrt 1.0) x)) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow 1 3) (pow (sqrt (- 1.0 (* x x))) 3) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (log (pow (sqrt (- 1.0 (* x x))) 3)) (exp (pow (sqrt (- 1.0 (* x x))) 3)) (* (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (cbrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (pow (sqrt (- 1.0 (* x x))) 3)) (* (* (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (- 1.0 (* x x))) 3)) (pow (sqrt (- 1.0 (* x x))) 3)) (pow (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) 3) (pow (cbrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) 3) (pow (sqrt (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt 1) 3) (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (+ (sqrt 1.0) x)) 3) (pow (sqrt (- (sqrt 1.0) x)) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow (sqrt (sqrt (- 1.0 (* x x)))) 3) (pow 1 3) (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (- (pow 1.0 3) (pow (* x x) 3))) 3) (pow (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) 3) (pow (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) 3) (pow (sqrt (+ 1.0 (* x x))) 3) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (/ 3 2) (sqrt (pow (sqrt (- 1.0 (* x x))) 3)) (sqrt (pow (sqrt (- 1.0 (* x x))) 3)) (pow (sqrt (- 1.0 (* x x))) (/ 3 2)) (pow (sqrt (- 1.0 (* x x))) (/ 3 2)) (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)))) (- (+ (* 3/8 (/ (pow x 4) (sqrt 1.0))) (pow (sqrt 1.0) 3)) (* 3/2 (* (pow x 2) (sqrt 1.0)))) (+ (* 1.5 (* x (sqrt -1))) (+ (* 0.375 (/ 1 (* x (sqrt -1)))) (* (pow x 3) (pow (sqrt -1) 3)))) (- (+ (* 1.5 (* x (sqrt -1))) (+ (* 0.375 (/ 1 (* x (sqrt -1)))) (* (pow x 3) (pow (sqrt -1) 3))))) (- (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)))) 1.217 * * [simplify]: iteration 0 : 354 enodes (cost 613 ) 1.227 * * [simplify]: iteration 1 : 1359 enodes (cost 589 ) 1.253 * * [simplify]: iteration 2 : 5001 enodes (cost 573 ) 1.257 * [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 (- 1.0 (* x x))) (cbrt (sqrt (- 1.0 (* x x)))) (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 (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (cbrt (sqrt (- 1.0 (* x x)))) (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 (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (- 1.0 (* x x))) (cbrt (sqrt (pow (sqrt (- 1.0 (* x x))) 3))) (cbrt (sqrt (pow (sqrt (- 1.0 (* x x))) 3))) 1 (sqrt (- 1.0 (* x x))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x 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)) (cbrt (- 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 (pow (sqrt (- 1.0 (* x x))) 3)) (log1p (pow (sqrt (- 1.0 (* x x))) 3)) (log (pow (sqrt (- 1.0 (* x x))) 3)) (log (pow (sqrt (- 1.0 (* x x))) 3)) 3/2 3 3/2 (pow (sqrt (- 1.0 (* x x))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (- 1.0 (* x x))) (sqrt 3)) (sqrt (- 1.0 (* x x))) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) (pow (fabs (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (- 1.0 (* x x))) 3/2) (pow (sqrt (- 1.0 (* x x))) 3/2) 1 (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (+ (sqrt 1.0) x)) 3) (pow (sqrt (- (sqrt 1.0) x)) 3) (pow (sqrt (- 1.0 (* x x))) 3/2) (pow (sqrt (- 1.0 (* x x))) 3/2) 1 (pow (sqrt (- 1.0 (* x x))) 3) (- 1.0 (* x x)) (log (pow (sqrt (- 1.0 (* x x))) 3)) (exp (pow (sqrt (- 1.0 (* x x))) 3)) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) (pow (pow (sqrt (- 1.0 (* x x))) 3) 3) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) (pow (fabs (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (cbrt (- 1.0 (* x x)))) 3) (pow (sqrt (- 1.0 (* x x))) 3/2) (pow (sqrt (- 1.0 (* x x))) 3/2) 1 (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (+ (sqrt 1.0) x)) 3) (pow (sqrt (- (sqrt 1.0) x)) 3) (pow (sqrt (- 1.0 (* x x))) 3/2) (pow (sqrt (- 1.0 (* x x))) 3/2) 1 (pow (sqrt (- 1.0 (* x x))) 3) (pow (sqrt (- (pow 1.0 3) (pow (* x x) 3))) 3) (pow (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) 3) (pow (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) 3) (pow (sqrt (+ 1.0 (* x x))) 3) (- 1.0 (* x x)) 3/2 (sqrt (pow (sqrt (- 1.0 (* x x))) 3)) (sqrt (pow (sqrt (- 1.0 (* x x))) 3)) (pow (sqrt (- 1.0 (* x x))) 3/2) (pow (sqrt (- 1.0 (* x x))) 3/2) (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 (- 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) (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (fma (sqrt -1) x (/ (/ 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))))) (fma 3/8 (/ (pow x 4) (sqrt 1.0)) (* (sqrt 1.0) (- 1.0 (* 3/2 (pow x 2))))) (fma (* 1.5 (sqrt -1)) x (fma (* (pow x 3) -1) (sqrt -1) (/ (/ 0.375 (sqrt -1)) x))) (- (- (* 1.5 (* x (sqrt -1)))) (fma 0.375 (/ 1 (* x (sqrt -1))) (* (pow x 3) (pow (sqrt -1) 3)))) (- (sqrt 1.0) (+ (* 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 (sqrt -1) x (/ (/ 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))))) 1.257 * * * [progress]: adding candidates to table 1.397 * [progress]: [Phase 3 of 3] Extracting. 1.397 * * [regime]: Finding splitpoints for: (# #) 1.397 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 1.397 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.407 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 1.419 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 1.429 * * * * [regimes]: Trying to branch on x from (# #) 1.440 * * * [regime]: Found split indices: #