4.657 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ x (- 1.0 x)) 0.017 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.018 * * [simplify]: iteration 1 : 7 enodes (cost 2 ) 0.019 * * [simplify]: iteration 2 : 7 enodes (cost 2 ) 0.019 * [simplify]: Simplified to: (/ x (- 1.0 x)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (/ x (- 1.0 x)) in (x) around 0 0.032 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (/ x (- 1.0 x)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.033 * [taylor]: Taking taylor expansion of 1.0 in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.039 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in (x) around 0 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.039 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.042 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.053 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in (x) around 0 0.053 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (/ 1 x) 1.0) x)) in x 0.055 * [taylor]: Taking taylor expansion of -1 in x 0.055 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1.0) x) in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.065 * * * [progress]: simplifying candidates 0.066 * [simplify]: Simplifying using # : (expm1 (/ x (- 1.0 x))) (log1p (/ x (- 1.0 x))) (- (log x) (log (- 1.0 x))) (log (/ x (- 1.0 x))) (exp (/ x (- 1.0 x))) (/ (* (* x x) x) (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x))) (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x)))) (cbrt (/ x (- 1.0 x))) (* (* (/ x (- 1.0 x)) (/ x (- 1.0 x))) (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (- x) (- (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt x) (cbrt (- 1.0 x))) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 x))) (/ (cbrt x) (sqrt (- 1.0 x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt x) (- (sqrt 1.0) (sqrt x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- 1.0 x)) (/ (sqrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt x) (cbrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 x)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))) (/ (sqrt x) 1) (/ (sqrt x) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))) (/ 1 1) (/ x (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ x (- (sqrt 1.0) (sqrt x))) (/ 1 1) (/ x (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) x) (/ x (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (sqrt (- 1.0 x))) (/ x 1) (/ x (+ (sqrt 1.0) (sqrt x))) (/ x 1) (/ (- 1.0 x) (cbrt x)) (/ (- 1.0 x) (sqrt x)) (/ (- 1.0 x) x) (/ x (- (pow 1.0 3) (pow x 3))) (/ x (- (* 1.0 1.0) (* x x))) (+ (* 1.0 (pow x 2)) (+ (* 1.0 (pow x 3)) (* 1.0 x))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) 0.070 * * [simplify]: iteration 0 : 175 enodes (cost 214 ) 0.073 * * [simplify]: iteration 1 : 591 enodes (cost 201 ) 0.084 * * [simplify]: iteration 2 : 2753 enodes (cost 200 ) 0.164 * * [simplify]: iteration 3 : 5001 enodes (cost 200 ) 0.165 * [simplify]: Simplified to: (expm1 (/ x (- 1.0 x))) (log1p (/ x (- 1.0 x))) (log (/ x (- 1.0 x))) (log (/ x (- 1.0 x))) (exp (/ x (- 1.0 x))) (pow (/ x (- 1.0 x)) 3) (* (cbrt (/ x (- 1.0 x))) (cbrt (/ x (- 1.0 x)))) (cbrt (/ x (- 1.0 x))) (pow (/ x (- 1.0 x)) 3) (sqrt (/ x (- 1.0 x))) (sqrt (/ x (- 1.0 x))) (- x) (- (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (cbrt x) (cbrt (- 1.0 x))) (/ (* (cbrt x) (cbrt x)) (sqrt (- 1.0 x))) (/ (cbrt x) (sqrt (- 1.0 x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- 1.0 x)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt 1.0) (sqrt x))) (/ (cbrt x) (- (sqrt 1.0) (sqrt x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- 1.0 x)) (/ (sqrt x) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ (sqrt x) (cbrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (/ (sqrt x) (sqrt (- 1.0 x))) (sqrt x) (/ (sqrt x) (- 1.0 x)) (/ (sqrt x) (+ (sqrt 1.0) (sqrt x))) (/ (sqrt x) (- (sqrt 1.0) (sqrt x))) (sqrt x) (/ (sqrt x) (- 1.0 x)) (/ 1 (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (cbrt (- 1.0 x))) (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))) 1 (/ x (- 1.0 x)) (/ 1 (+ (sqrt 1.0) (sqrt x))) (/ x (- (sqrt 1.0) (sqrt x))) 1 (/ x (- 1.0 x)) (/ 1 (- 1.0 x)) (/ (- 1.0 x) x) (/ x (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (/ x (sqrt (- 1.0 x))) x (/ x (+ (sqrt 1.0) (sqrt x))) x (/ (- 1.0 x) (cbrt x)) (/ (- 1.0 x) (sqrt x)) (/ (- 1.0 x) x) (/ x (- (pow 1.0 3) (pow x 3))) (/ x (- (* 1.0 1.0) (* x x))) (* 1.0 (fma x x (+ (pow x 3) x))) (- (/ (- 1.0) (pow x 2)) (fma 1.0 (/ 1 x) 1)) (- (/ (- 1.0) (pow x 2)) (fma 1.0 (/ 1 x) 1)) 0.165 * * * [progress]: adding candidates to table 0.230 * * [progress]: iteration 2 / 4 0.230 * * * [progress]: picking best candidate 0.231 * * * * [pick]: Picked # 0.231 * * * [progress]: localizing error 0.238 * * * [progress]: generating rewritten candidates 0.238 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.243 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.266 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.272 * * * [progress]: generating series expansions 0.272 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.273 * [approximate]: Taking taylor expansion of (/ x (- 1.0 (pow x 2))) in (x) around 0 0.273 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (pow x 2))) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (pow x 2))) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.284 * [approximate]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.284 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.284 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.287 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.311 * [approximate]: Taking taylor expansion of (/ -1 (* x (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.311 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.311 * [taylor]: Taking taylor expansion of -1 in x 0.311 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.315 * [taylor]: Taking taylor expansion of -1 in x 0.315 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.315 * [taylor]: Taking taylor expansion of 1.0 in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.335 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.335 * [approximate]: Taking taylor expansion of (/ (* x (+ x 1.0)) (- 1.0 (pow x 2))) in (x) around 0 0.335 * [taylor]: Taking taylor expansion of (/ (* x (+ x 1.0)) (- 1.0 (pow x 2))) in x 0.335 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 1.0 in x 0.335 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (/ (* x (+ x 1.0)) (- 1.0 (pow x 2))) in x 0.338 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.338 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.347 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (* x (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.366 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) (* x (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.366 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) (* x (- 1.0 (/ 1 (pow x 2)))))) in x 0.366 * [taylor]: Taking taylor expansion of -1 in x 0.366 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) (* x (- 1.0 (/ 1 (pow x 2)))))) in x 0.370 * [taylor]: Taking taylor expansion of -1 in x 0.370 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (* x (- 1.0 (/ 1 (pow x 2))))) in x 0.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 (pow x 2)))) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.392 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.392 * [approximate]: Taking taylor expansion of (- 1.0 (pow x 2)) in (x) around 0 0.392 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.400 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.400 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.415 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in (x) around 0 0.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.415 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.429 * * * [progress]: simplifying candidates 0.431 * [simplify]: Simplifying using # : (expm1 (/ x (- (* 1.0 1.0) (* x x)))) (log1p (/ x (- (* 1.0 1.0) (* x x)))) (- (log x) (log (- (* 1.0 1.0) (* x x)))) (log (/ x (- (* 1.0 1.0) (* x x)))) (exp (/ x (- (* 1.0 1.0) (* x x)))) (/ (* (* x x) x) (* (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x)))) (* (cbrt (/ x (- (* 1.0 1.0) (* x x)))) (cbrt (/ x (- (* 1.0 1.0) (* x x))))) (cbrt (/ x (- (* 1.0 1.0) (* x x)))) (* (* (/ x (- (* 1.0 1.0) (* x x))) (/ x (- (* 1.0 1.0) (* x x)))) (/ x (- (* 1.0 1.0) (* x x)))) (sqrt (/ x (- (* 1.0 1.0) (* x x)))) (sqrt (/ x (- (* 1.0 1.0) (* x x)))) (- x) (- (- (* 1.0 1.0) (* x x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ (cbrt x) (cbrt (- (* 1.0 1.0) (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (cbrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- (* 1.0 1.0) (* x x))) (/ (* (cbrt x) (cbrt x)) (+ 1.0 x)) (/ (cbrt x) (- 1.0 x)) (/ (sqrt x) (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ (sqrt x) (cbrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt x) 1) (/ (sqrt x) (- (* 1.0 1.0) (* x x))) (/ (sqrt x) (+ 1.0 x)) (/ (sqrt x) (- 1.0 x)) (/ 1 (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ x (cbrt (- (* 1.0 1.0) (* x x)))) (/ 1 (sqrt (- (* 1.0 1.0) (* x x)))) (/ x (sqrt (- (* 1.0 1.0) (* x x)))) (/ 1 1) (/ x (- (* 1.0 1.0) (* x x))) (/ 1 (+ 1.0 x)) (/ x (- 1.0 x)) (/ 1 (- (* 1.0 1.0) (* x x))) (/ (- (* 1.0 1.0) (* x x)) x) (/ x (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ x (sqrt (- (* 1.0 1.0) (* x x)))) (/ x 1) (/ x (+ 1.0 x)) (/ (- (* 1.0 1.0) (* x x)) (cbrt x)) (/ (- (* 1.0 1.0) (* x x)) (sqrt x)) (/ (- (* 1.0 1.0) (* x x)) x) (/ x (- (pow (* 1.0 1.0) 3) (pow (* x x) 3))) (/ x (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* x x)))) (expm1 (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (log1p (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (+ (- (log x) (log (- (* 1.0 1.0) (* x x)))) (log (+ 1.0 x))) (+ (log (/ x (- (* 1.0 1.0) (* x x)))) (log (+ 1.0 x))) (log (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (exp (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (* (/ (* (* x x) x) (* (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x)))) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (* (* (/ x (- (* 1.0 1.0) (* x x))) (/ x (- (* 1.0 1.0) (* x x)))) (/ x (- (* 1.0 1.0) (* x x)))) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (cbrt (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (cbrt (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (* (* (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (* x (+ (pow 1.0 3) (pow x 3))) (* (- (* 1.0 1.0) (* x x)) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (* x (- (* 1.0 1.0) (* x x))) (* (- (* 1.0 1.0) (* x x)) (- 1.0 x)) (* (sqrt (/ x (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (* (sqrt (/ x (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (* (/ (sqrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (* (/ (sqrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (* (/ x (- (* 1.0 1.0) (* x x))) 1.0) (* (/ x (- (* 1.0 1.0) (* x x))) x) (* 1.0 (/ x (- (* 1.0 1.0) (* x x)))) (* x (/ x (- (* 1.0 1.0) (* x x)))) (* (/ x (- (* 1.0 1.0) (* x x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (* (/ x (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) (* (/ x (- (* 1.0 1.0) (* x x))) 1) (* (/ x (- (* 1.0 1.0) (* x x))) 1) (* (cbrt (/ x (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (sqrt (/ x (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ (cbrt x) (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ (cbrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ (cbrt x) (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* (/ (cbrt x) (- 1.0 x)) (+ 1.0 x)) (* (/ (sqrt x) (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ (sqrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ (sqrt x) (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* (/ (sqrt x) (- 1.0 x)) (+ 1.0 x)) (* (/ x (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ x (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* (/ x (- 1.0 x)) (+ 1.0 x)) (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (+ (* 1.0 1.0) (* x x)) (+ 1.0 x)) (* (/ x (- (* 1.0 1.0) (* x x))) (+ (pow 1.0 3) (pow x 3))) (* (/ x (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x))) (* x (+ 1.0 x)) (fma 1.0 1.0 (- (* x x))) (fma (- x) x (* x x)) (expm1 (- (* 1.0 1.0) (* x x))) (log1p (- (* 1.0 1.0) (* x x))) (- (* x x)) (/ (exp (* 1.0 1.0)) (exp (* x x))) (log (- (* 1.0 1.0) (* x x))) (exp (- (* 1.0 1.0) (* x x))) (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (- (* 1.0 1.0) (* x x))) (* (* (- (* 1.0 1.0) (* x x)) (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x))) (- (pow (* 1.0 1.0) 3) (pow (* x x) 3)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* x x) (* x x)) (* (* 1.0 1.0) (* x x)))) (- (* x x)) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* x x) (* x x))) (+ (* 1.0 1.0) (* x x)) (+ 1.0 x) (- 1.0 x) (- (* x x)) (+ (* 1.0 (pow x 3)) (+ (* 1.0 (pow x 5)) (* 1.0 x))) (- (+ (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)))) (- (+ (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)))) (+ (* 1.0 (pow x 2)) (+ (* 1.0 (pow x 3)) (* 1.0 x))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) 1))) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) 0.437 * * [simplify]: iteration 0 : 541 enodes (cost 779 ) 0.448 * * [simplify]: iteration 1 : 2476 enodes (cost 701 ) 0.488 * * [simplify]: iteration 2 : 5001 enodes (cost 697 ) 0.492 * [simplify]: Simplified to: (expm1 (/ x (- (* 1.0 1.0) (* x x)))) (log1p (/ x (- (* 1.0 1.0) (* x x)))) (log (/ x (- (* 1.0 1.0) (* x x)))) (log (/ x (- (* 1.0 1.0) (* x x)))) (exp (/ x (- (* 1.0 1.0) (* x x)))) (pow (/ x (- (* 1.0 1.0) (* x x))) 3) (* (cbrt (/ x (- (* 1.0 1.0) (* x x)))) (cbrt (/ x (- (* 1.0 1.0) (* x x))))) (cbrt (/ x (- (* 1.0 1.0) (* x x)))) (pow (/ x (- (* 1.0 1.0) (* x x))) 3) (sqrt (/ x (- (* 1.0 1.0) (* x x)))) (sqrt (/ x (- (* 1.0 1.0) (* x x)))) (- x) (- (- (* 1.0 1.0) (* x x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ (cbrt x) (cbrt (- (* 1.0 1.0) (* x x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (cbrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- (* 1.0 1.0) (* x x))) (/ (* (cbrt x) (cbrt x)) (+ 1.0 x)) (/ (cbrt x) (- 1.0 x)) (/ (sqrt x) (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ (sqrt x) (cbrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (/ (sqrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt x) (/ (sqrt x) (- (* 1.0 1.0) (* x x))) (/ (sqrt x) (+ 1.0 x)) (/ (sqrt x) (- 1.0 x)) (/ 1 (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ x (cbrt (- (* 1.0 1.0) (* x x)))) (/ 1 (sqrt (- (* 1.0 1.0) (* x x)))) (/ x (sqrt (- (* 1.0 1.0) (* x x)))) 1 (/ x (- (* 1.0 1.0) (* x x))) (/ 1 (+ 1.0 x)) (/ x (- 1.0 x)) (/ 1 (- (* 1.0 1.0) (* x x))) (/ (- (* 1.0 1.0) (* x x)) x) (/ x (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x))))) (/ x (sqrt (- (* 1.0 1.0) (* x x)))) x (/ x (+ 1.0 x)) (/ (- (* 1.0 1.0) (* x x)) (cbrt x)) (/ (- (* 1.0 1.0) (* x x)) (sqrt x)) (/ (- (* 1.0 1.0) (* x x)) x) (/ x (- (pow (* 1.0 1.0) 3) (pow (* x x) 3))) (/ x (fma (- (pow x 3)) x (pow 1.0 4))) (expm1 (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (log1p (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (log (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (log (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (log (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (exp (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (pow (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 3) (pow (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 3) (* (cbrt (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (cbrt (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))) (cbrt (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (pow (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) 3) (sqrt (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (sqrt (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))) (* x (+ (pow 1.0 3) (pow x 3))) (* (* (fma x (- x 1.0) (* 1.0 1.0)) (+ 1.0 x)) (- 1.0 x)) (* x (- (* 1.0 1.0) (* x x))) (* (- (* 1.0 1.0) (* x x)) (- 1.0 x)) (* (sqrt (/ x (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (* (sqrt (/ x (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (* (/ (sqrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (* (/ (sqrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (sqrt (+ 1.0 x))) (* (/ x (- (* 1.0 1.0) (* x x))) 1.0) (* x (/ x (- (* 1.0 1.0) (* x x)))) (* (/ x (- (* 1.0 1.0) (* x x))) 1.0) (* x (/ x (- (* 1.0 1.0) (* x x)))) (* (/ x (- (* 1.0 1.0) (* x x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (* (/ x (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x))) (/ x (- (* 1.0 1.0) (* x x))) (/ x (- (* 1.0 1.0) (* x x))) (* (cbrt (/ x (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (sqrt (/ x (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ (cbrt x) (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ (cbrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ (cbrt x) (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* (/ (cbrt x) (- 1.0 x)) (+ 1.0 x)) (* (/ (sqrt x) (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ (sqrt x) (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ (sqrt x) (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* (/ (sqrt x) (- 1.0 x)) (+ 1.0 x)) (* (/ x (cbrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ x (sqrt (- (* 1.0 1.0) (* x x)))) (+ 1.0 x)) (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (* (/ x (- 1.0 x)) (+ 1.0 x)) (* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x)) (/ (+ 1.0 x) (- (* 1.0 1.0) (* x x))) (* (fma (pow x 2) (fma 1.0 1.0 (* x x)) (* (pow 1.0 3) 1.0)) (+ 1.0 x)) (* (+ 1.0 x) (fma 1.0 1.0 (* x x))) (* (/ x (- (* 1.0 1.0) (* x x))) (+ (pow 1.0 3) (pow x 3))) (* (/ x (- (* 1.0 1.0) (* x x))) (- (* 1.0 1.0) (* x x))) (* x (+ 1.0 x)) (- (* 1.0 1.0) (* x x)) (fma (- x) x (* x x)) (expm1 (- (* 1.0 1.0) (* x x))) (log1p (- (* 1.0 1.0) (* x x))) (- (* x x)) (exp (- (* 1.0 1.0) (* x x))) (log (- (* 1.0 1.0) (* x x))) (exp (- (* 1.0 1.0) (* x x))) (* (cbrt (- (* 1.0 1.0) (* x x))) (cbrt (- (* 1.0 1.0) (* x x)))) (cbrt (- (* 1.0 1.0) (* x x))) (pow (- (* 1.0 1.0) (* x x)) 3) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- (* 1.0 1.0) (* x x))) (- (pow (* 1.0 1.0) 3) (pow (* x x) 3)) (fma x (* x (fma 1.0 1.0 (* x x))) (pow 1.0 4)) (- (* x x)) (fma (- (pow x 3)) x (pow 1.0 4)) (fma 1.0 1.0 (* x x)) (+ 1.0 x) (- 1.0 x) (- (* x x)) (fma 1.0 (pow x 3) (fma 1.0 (pow x 5) (* 1.0 x))) (- (/ (- 1.0) (pow x 3)) (fma 1.0 (/ 1 (pow x 5)) (/ 1 x))) (- (/ (- 1.0) (pow x 3)) (fma 1.0 (/ 1 (pow x 5)) (/ 1 x))) (fma 1.0 (pow x 2) (fma 1.0 (pow x 3) (* 1.0 x))) (- (/ (- 1.0) (pow x 2)) (fma 1.0 (/ 1 x) 1)) (- (/ (- 1.0) (pow x 2)) (fma 1.0 (/ 1 x) 1)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) (- 1.0 (pow x 2)) 0.493 * * * [progress]: adding candidates to table 0.689 * [progress]: [Phase 3 of 3] Extracting. 0.690 * * [regime]: Finding splitpoints for: (# #) 0.690 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (- 1.0 x)) x) 0.690 * * * * [regimes]: Trying to branch on (/ x (- 1.0 x)) from (# #) 0.698 * * * * [regimes]: Trying to branch on x from (# #) 0.708 * * * [regime]: Found split indices: #