4.705 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (exp (- (- 1.0 (* x x)))) 0.024 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.025 * * [simplify]: iteration 1 : 25 enodes (cost 4 ) 0.026 * * [simplify]: iteration 2 : 49 enodes (cost 4 ) 0.028 * * [simplify]: iteration 3 : 96 enodes (cost 4 ) 0.030 * * [simplify]: iteration 4 : 253 enodes (cost 4 ) 0.034 * * [simplify]: iteration 5 : 821 enodes (cost 4 ) 0.047 * * [simplify]: iteration 6 : 3115 enodes (cost 4 ) 0.084 * * [simplify]: iteration 7 : 5001 enodes (cost 4 ) 0.085 * [simplify]: Simplified to: (exp (- (- 1.0 (* x x)))) 0.085 * * [progress]: iteration 1 / 4 0.085 * * * [progress]: picking best candidate 0.087 * * * * [pick]: Picked # 0.087 * * * [progress]: localizing error 0.093 * * * [progress]: generating rewritten candidates 0.093 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.105 * * * [progress]: generating series expansions 0.105 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.105 * [approximate]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in (x) around 0 0.105 * [taylor]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in x 0.105 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in x 0.107 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [approximate]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.125 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 0.125 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 0.126 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [approximate]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.127 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 0.127 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * * * [progress]: simplifying candidates 0.130 * [simplify]: Simplifying using # : (expm1 (exp (- (- 1.0 (* x x))))) (log1p (exp (- (- 1.0 (* x x))))) (exp (* (cbrt (- (- 1.0 (* x x)))) (cbrt (- (- 1.0 (* x x)))))) (exp (sqrt (- (- 1.0 (* x x))))) (exp 1) (exp -1) (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (exp (- (sqrt (- 1.0 (* x x))))) (exp (- 1)) (exp (- (+ (sqrt 1.0) x))) (exp (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (exp (sqrt (- 1.0 (* x x)))) (exp 1) (exp (+ (sqrt 1.0) x)) (exp (- (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* x x))))) (exp (- (fma (- x) x (* x x)))) (exp (- (fma (sqrt 1.0) (sqrt 1.0) (- (* x x))))) (exp (- (fma (- x) x (* x x)))) (exp (- (fma 1 1.0 (- (* x x))))) (exp (- (fma (- x) x (* x x)))) (exp (- 1.0)) (exp (- (- (* x x)))) (exp (- 1.0)) (exp (- (- (* x x)))) (exp (- 1.0 (* x x))) (exp 0) (exp (- 1.0 (* x x))) (log (exp (- (- 1.0 (* x x))))) (exp (exp (- (- 1.0 (* x x))))) (* (cbrt (exp (- (- 1.0 (* x x))))) (cbrt (exp (- (- 1.0 (* x x)))))) (cbrt (exp (- (- 1.0 (* x x))))) (* (* (exp (- (- 1.0 (* x x)))) (exp (- (- 1.0 (* x x))))) (exp (- (- 1.0 (* x x))))) (sqrt (exp (- (- 1.0 (* x x))))) (sqrt (exp (- (- 1.0 (* x x))))) (+ (* (pow x 2) (exp (- 1.0))) (+ (exp (- 1.0)) (* 1/2 (* (pow x 4) (exp (- 1.0)))))) (exp (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) 0.134 * * [simplify]: iteration 0 : 140 enodes (cost 176 ) 0.136 * * [simplify]: iteration 1 : 392 enodes (cost 156 ) 0.143 * * [simplify]: iteration 2 : 1701 enodes (cost 140 ) 0.188 * * [simplify]: iteration 3 : 5001 enodes (cost 133 ) 0.189 * [simplify]: Simplified to: (expm1 (exp (- (- 1.0 (* x x))))) (log1p (exp (- (- 1.0 (* x x))))) (exp (* (cbrt (- (- 1.0 (* x x)))) (cbrt (- (- 1.0 (* x x)))))) (exp (sqrt (- (- 1.0 (* x x))))) E (exp -1) (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (exp (- (sqrt (- 1.0 (* x x))))) (exp -1) (exp (- (+ (sqrt 1.0) x))) (exp (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (exp (sqrt (- 1.0 (* x x)))) E (exp (+ (sqrt 1.0) x)) (exp (- (pow x 2) 1.0)) 1 (exp (- (pow x 2) 1.0)) 1 (exp (- (pow x 2) 1.0)) 1 (exp (- 1.0)) (exp (pow x 2)) (exp (- 1.0)) (exp (pow x 2)) (exp (- 1.0 (* x x))) 1 (exp (- 1.0 (* x x))) (- (pow x 2) 1.0) (exp (exp (- (- 1.0 (* x x))))) (* (cbrt (exp (- (- 1.0 (* x x))))) (cbrt (exp (- (- 1.0 (* x x)))))) (cbrt (exp (- (- 1.0 (* x x))))) (pow (exp 3) (- (pow x 2) 1.0)) (sqrt (exp (- (- 1.0 (* x x))))) (sqrt (exp (- (- 1.0 (* x x))))) (* (exp (- 1.0)) (+ (pow x 2) (fma 1/2 (pow x 4) 1))) (exp (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) 0.189 * * * [progress]: adding candidates to table 0.250 * * [progress]: iteration 2 / 4 0.250 * * * [progress]: picking best candidate 0.255 * * * * [pick]: Picked # 0.255 * * * [progress]: localizing error 0.262 * * * [progress]: generating rewritten candidates 0.262 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.266 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.267 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.278 * * * [progress]: generating series expansions 0.278 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.279 * [approximate]: Taking taylor expansion of (/ (exp 1.0) (exp (pow x 2))) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (/ (exp 1.0) (exp (pow x 2))) in x 0.279 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of (exp (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ (exp 1.0) (exp (pow x 2))) in x 0.280 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (exp (pow x 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.304 * [approximate]: Taking taylor expansion of (/ (exp 1.0) (exp (/ 1 (pow x 2)))) in (x) around 0 0.304 * [taylor]: Taking taylor expansion of (/ (exp 1.0) (exp (/ 1 (pow x 2)))) in x 0.304 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ (exp 1.0) (exp (/ 1 (pow x 2)))) in x 0.306 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.323 * [approximate]: Taking taylor expansion of (/ (exp 1.0) (exp (/ 1 (pow x 2)))) in (x) around 0 0.323 * [taylor]: Taking taylor expansion of (/ (exp 1.0) (exp (/ 1 (pow x 2)))) in x 0.323 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (/ (exp 1.0) (exp (/ 1 (pow x 2)))) in x 0.329 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.329 * [taylor]: Taking taylor expansion of 1.0 in x 0.330 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.347 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.347 * [approximate]: Taking taylor expansion of (exp (pow x 2)) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (exp (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 0.347 * [taylor]: Taking taylor expansion of (exp (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 0.354 * [approximate]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [approximate]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in (x) around 0 0.356 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.358 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.358 * [approximate]: Taking taylor expansion of (/ (exp (pow x 2)) (exp 1.0)) in (x) around 0 0.358 * [taylor]: Taking taylor expansion of (/ (exp (pow x 2)) (exp 1.0)) in x 0.358 * [taylor]: Taking taylor expansion of (exp (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (/ (exp (pow x 2)) (exp 1.0)) in x 0.359 * [taylor]: Taking taylor expansion of (exp (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 0.360 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.360 * [taylor]: Taking taylor expansion of 1.0 in x 0.380 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 (pow x 2))) (exp 1.0)) in (x) around 0 0.380 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow x 2))) (exp 1.0)) in x 0.380 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow x 2))) (exp 1.0)) in x 0.382 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.382 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 (pow x 2))) (exp 1.0)) in (x) around 0 0.406 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow x 2))) (exp 1.0)) in x 0.406 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.406 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow x 2))) (exp 1.0)) in x 0.407 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) 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 0.408 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * * * [progress]: simplifying candidates 0.437 * [simplify]: Simplifying using # : (expm1 (/ (exp 1.0) (exp (* x x)))) (log1p (/ (exp 1.0) (exp (* x x)))) (- 1.0 (* x x)) (log (/ (exp 1.0) (exp (* x x)))) (exp (/ (exp 1.0) (exp (* x x)))) (/ (* (* (exp 1.0) (exp 1.0)) (exp 1.0)) (* (* (exp (* x x)) (exp (* x x))) (exp (* x x)))) (* (cbrt (/ (exp 1.0) (exp (* x x)))) (cbrt (/ (exp 1.0) (exp (* x x))))) (cbrt (/ (exp 1.0) (exp (* x x)))) (* (* (/ (exp 1.0) (exp (* x x))) (/ (exp 1.0) (exp (* x x)))) (/ (exp 1.0) (exp (* x x)))) (sqrt (/ (exp 1.0) (exp (* x x)))) (sqrt (/ (exp 1.0) (exp (* x x)))) (- (exp 1.0)) (- (exp (* x x))) (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (* (cbrt (exp (* x x))) (cbrt (exp (* x x))))) (/ (cbrt (exp 1.0)) (cbrt (exp (* x x)))) (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (sqrt (exp (* x x)))) (/ (cbrt (exp 1.0)) (sqrt (exp (* x x)))) (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) 1) (/ (cbrt (exp 1.0)) (exp (* x x))) (/ (sqrt (exp 1.0)) (* (cbrt (exp (* x x))) (cbrt (exp (* x x))))) (/ (sqrt (exp 1.0)) (cbrt (exp (* x x)))) (/ (sqrt (exp 1.0)) (sqrt (exp (* x x)))) (/ (sqrt (exp 1.0)) (sqrt (exp (* x x)))) (/ (sqrt (exp 1.0)) 1) (/ (sqrt (exp 1.0)) (exp (* x x))) (/ 1 (* (cbrt (exp (* x x))) (cbrt (exp (* x x))))) (/ (exp 1.0) (cbrt (exp (* x x)))) (/ 1 (sqrt (exp (* x x)))) (/ (exp 1.0) (sqrt (exp (* x x)))) (/ 1 1) (/ (exp 1.0) (exp (* x x))) (/ 1 (exp (* x x))) (/ (exp (* x x)) (exp 1.0)) (/ (exp 1.0) (* (cbrt (exp (* x x))) (cbrt (exp (* x x))))) (/ (exp 1.0) (sqrt (exp (* x x)))) (/ (exp 1.0) 1) (/ (exp (* x x)) (cbrt (exp 1.0))) (/ (exp (* x x)) (sqrt (exp 1.0))) (/ (exp (* x x)) (exp 1.0)) (expm1 (exp (* x x))) (log1p (exp (* x x))) (exp x) (log (exp (* x x))) (exp (exp (* x x))) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (cbrt (exp (* x x))) (* (* (exp (* x x)) (exp (* x x))) (exp (* x x))) (sqrt (exp (* x x))) (sqrt (exp (* x x))) (expm1 (/ 1 (/ (exp 1.0) (exp (* x x))))) (log1p (/ 1 (/ (exp 1.0) (exp (* x x))))) (- 1) (- (- 1.0 (* x x))) (- (log (/ (exp 1.0) (exp (* x x))))) (- 0 (- 1.0 (* x x))) (- 0 (log (/ (exp 1.0) (exp (* x x))))) (- (log 1) (- 1.0 (* x x))) (- (log 1) (log (/ (exp 1.0) (exp (* x x))))) (log (/ 1 (/ (exp 1.0) (exp (* x x))))) (exp (/ 1 (/ (exp 1.0) (exp (* x x))))) (/ (* (* 1 1) 1) (/ (* (* (exp 1.0) (exp 1.0)) (exp 1.0)) (* (* (exp (* x x)) (exp (* x x))) (exp (* x x))))) (/ (* (* 1 1) 1) (* (* (/ (exp 1.0) (exp (* x x))) (/ (exp 1.0) (exp (* x x)))) (/ (exp 1.0) (exp (* x x))))) (* (cbrt (/ 1 (/ (exp 1.0) (exp (* x x))))) (cbrt (/ 1 (/ (exp 1.0) (exp (* x x)))))) (cbrt (/ 1 (/ (exp 1.0) (exp (* x x))))) (* (* (/ 1 (/ (exp 1.0) (exp (* x x)))) (/ 1 (/ (exp 1.0) (exp (* x x))))) (/ 1 (/ (exp 1.0) (exp (* x x))))) (sqrt (/ 1 (/ (exp 1.0) (exp (* x x))))) (sqrt (/ 1 (/ (exp 1.0) (exp (* x x))))) (- 1) (- (/ (exp 1.0) (exp (* x x)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (exp 1.0) (exp (* x x)))) (cbrt (/ (exp 1.0) (exp (* x x)))))) (/ (cbrt 1) (cbrt (/ (exp 1.0) (exp (* x x))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (exp 1.0) (exp (* x x))))) (/ (cbrt 1) (sqrt (/ (exp 1.0) (exp (* x x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))))) (/ (cbrt 1) (/ (cbrt (exp 1.0)) (cbrt (exp (* x x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (sqrt (exp (* x x))))) (/ (cbrt 1) (/ (cbrt (exp 1.0)) (sqrt (exp (* x x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) 1)) (/ (cbrt 1) (/ (cbrt (exp 1.0)) (exp (* x x)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (exp 1.0)) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))))) (/ (cbrt 1) (/ (sqrt (exp 1.0)) (cbrt (exp (* x x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (exp 1.0)) (sqrt (exp (* x x))))) (/ (cbrt 1) (/ (sqrt (exp 1.0)) (sqrt (exp (* x x))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (exp 1.0)) 1)) (/ (cbrt 1) (/ (sqrt (exp 1.0)) (exp (* x x)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))))) (/ (cbrt 1) (/ (exp 1.0) (cbrt (exp (* x x))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (exp (* x x))))) (/ (cbrt 1) (/ (exp 1.0) (sqrt (exp (* x x))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (exp 1.0) (exp (* x x)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (exp 1.0) (exp (* x x)))) (/ (* (cbrt 1) (cbrt 1)) (exp 1.0)) (/ (cbrt 1) (/ 1 (exp (* x x)))) (/ (sqrt 1) (* (cbrt (/ (exp 1.0) (exp (* x x)))) (cbrt (/ (exp 1.0) (exp (* x x)))))) (/ (sqrt 1) (cbrt (/ (exp 1.0) (exp (* x x))))) (/ (sqrt 1) (sqrt (/ (exp 1.0) (exp (* x x))))) (/ (sqrt 1) (sqrt (/ (exp 1.0) (exp (* x x))))) (/ (sqrt 1) (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))))) (/ (sqrt 1) (/ (cbrt (exp 1.0)) (cbrt (exp (* x x))))) (/ (sqrt 1) (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (sqrt (exp (* x x))))) (/ (sqrt 1) (/ (cbrt (exp 1.0)) (sqrt (exp (* x x))))) (/ (sqrt 1) (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) 1)) (/ (sqrt 1) (/ (cbrt (exp 1.0)) (exp (* x x)))) (/ (sqrt 1) (/ (sqrt (exp 1.0)) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))))) (/ (sqrt 1) (/ (sqrt (exp 1.0)) (cbrt (exp (* x x))))) (/ (sqrt 1) (/ (sqrt (exp 1.0)) (sqrt (exp (* x x))))) (/ (sqrt 1) (/ (sqrt (exp 1.0)) (sqrt (exp (* x x))))) (/ (sqrt 1) (/ (sqrt (exp 1.0)) 1)) (/ (sqrt 1) (/ (sqrt (exp 1.0)) (exp (* x x)))) (/ (sqrt 1) (/ 1 (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))))) (/ (sqrt 1) (/ (exp 1.0) (cbrt (exp (* x x))))) (/ (sqrt 1) (/ 1 (sqrt (exp (* x x))))) (/ (sqrt 1) (/ (exp 1.0) (sqrt (exp (* x x))))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (exp 1.0) (exp (* x x)))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (exp 1.0) (exp (* x x)))) (/ (sqrt 1) (exp 1.0)) (/ (sqrt 1) (/ 1 (exp (* x x)))) (/ 1 (* (cbrt (/ (exp 1.0) (exp (* x x)))) (cbrt (/ (exp 1.0) (exp (* x x)))))) (/ 1 (cbrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (sqrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (sqrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))))) (/ 1 (/ (cbrt (exp 1.0)) (cbrt (exp (* x x))))) (/ 1 (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (sqrt (exp (* x x))))) (/ 1 (/ (cbrt (exp 1.0)) (sqrt (exp (* x x))))) (/ 1 (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) 1)) (/ 1 (/ (cbrt (exp 1.0)) (exp (* x x)))) (/ 1 (/ (sqrt (exp 1.0)) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))))) (/ 1 (/ (sqrt (exp 1.0)) (cbrt (exp (* x x))))) (/ 1 (/ (sqrt (exp 1.0)) (sqrt (exp (* x x))))) (/ 1 (/ (sqrt (exp 1.0)) (sqrt (exp (* x x))))) (/ 1 (/ (sqrt (exp 1.0)) 1)) (/ 1 (/ (sqrt (exp 1.0)) (exp (* x x)))) (/ 1 (/ 1 (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))))) (/ 1 (/ (exp 1.0) (cbrt (exp (* x x))))) (/ 1 (/ 1 (sqrt (exp (* x x))))) (/ 1 (/ (exp 1.0) (sqrt (exp (* x x))))) (/ 1 (/ 1 1)) (/ 1 (/ (exp 1.0) (exp (* x x)))) (/ 1 1) (/ 1 (/ (exp 1.0) (exp (* x x)))) (/ 1 (exp 1.0)) (/ 1 (/ 1 (exp (* x x)))) (/ 1 (/ (exp 1.0) (exp (* x x)))) (/ (/ (exp 1.0) (exp (* x x))) 1) (/ 1 (* (cbrt (/ (exp 1.0) (exp (* x x)))) (cbrt (/ (exp 1.0) (exp (* x x)))))) (/ 1 (sqrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))))) (/ 1 (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (sqrt (exp (* x x))))) (/ 1 (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) 1)) (/ 1 (/ (sqrt (exp 1.0)) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))))) (/ 1 (/ (sqrt (exp 1.0)) (sqrt (exp (* x x))))) (/ 1 (/ (sqrt (exp 1.0)) 1)) (/ 1 (/ 1 (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))))) (/ 1 (/ 1 (sqrt (exp (* x x))))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (exp 1.0)) (/ (/ (exp 1.0) (exp (* x x))) (cbrt 1)) (/ (/ (exp 1.0) (exp (* x x))) (sqrt 1)) (/ (/ (exp 1.0) (exp (* x x))) 1) (/ 1 (exp 1.0)) (- (+ (exp 1.0) (* 1/2 (* (exp 1.0) (pow x 4)))) (* (exp 1.0) (pow x 2))) (/ (exp 1.0) (exp (pow x 2))) (/ (exp 1.0) (exp (pow x 2))) (+ (pow x 2) (+ (* 1/2 (pow x 4)) 1)) (exp (pow x 2)) (exp (pow x 2)) (+ (/ 1 (exp 1.0)) (+ (/ (pow x 2) (exp 1.0)) (* 1/2 (/ (pow x 4) (exp 1.0))))) (/ (exp (pow x 2)) (exp 1.0)) (/ (exp (pow x 2)) (exp 1.0)) 0.444 * * [simplify]: iteration 0 : 380 enodes (cost 1083 ) 0.451 * * [simplify]: iteration 1 : 1628 enodes (cost 948 ) 0.478 * * [simplify]: iteration 2 : 5001 enodes (cost 868 ) 0.482 * [simplify]: Simplified to: (expm1 (/ (exp 1.0) (exp (* x x)))) (log1p (/ (exp 1.0) (exp (* x x)))) (- 1.0 (* x x)) (- 1.0 (* x x)) (exp (/ (exp 1.0) (exp (* x x)))) (pow (exp (- 1.0 (* x x))) 3) (* (cbrt (/ (exp 1.0) (exp (* x x)))) (cbrt (/ (exp 1.0) (exp (* x x))))) (cbrt (/ (exp 1.0) (exp (* x x)))) (pow (exp (- 1.0 (* x x))) 3) (sqrt (/ (exp 1.0) (exp (* x x)))) (sqrt (/ (exp 1.0) (exp (* x x)))) (- (exp 1.0)) (- (exp (* x x))) (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (* (cbrt (exp (* x x))) (cbrt (exp (* x x))))) (/ (cbrt (exp 1.0)) (cbrt (exp (* x x)))) (/ (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (sqrt (exp (* x x)))) (/ (cbrt (exp 1.0)) (sqrt (exp (* x x)))) (* (cbrt (exp 1.0)) (cbrt (exp 1.0))) (/ (cbrt (exp 1.0)) (exp (* x x))) (/ (sqrt (exp 1.0)) (* (cbrt (exp (* x x))) (cbrt (exp (* x x))))) (/ (sqrt (exp 1.0)) (cbrt (exp (* x x)))) (/ (sqrt (exp 1.0)) (sqrt (exp (* x x)))) (/ (sqrt (exp 1.0)) (sqrt (exp (* x x)))) (sqrt (exp 1.0)) (/ (sqrt (exp 1.0)) (exp (* x x))) (/ 1 (* (cbrt (exp (* x x))) (cbrt (exp (* x x))))) (/ (exp 1.0) (cbrt (exp (* x x)))) (/ 1 (sqrt (exp (* x x)))) (/ (exp 1.0) (sqrt (exp (* x x)))) 1 (exp (- 1.0 (* x x))) (/ 1 (exp (* x x))) (exp (- (pow x 2) 1.0)) (/ (exp 1.0) (* (cbrt (exp (* x x))) (cbrt (exp (* x x))))) (/ (exp 1.0) (sqrt (exp (* x x)))) (exp 1.0) (/ (exp (* x x)) (cbrt (exp 1.0))) (/ (exp (* x x)) (sqrt (exp 1.0))) (exp (- (pow x 2) 1.0)) (expm1 (exp (* x x))) (log1p (exp (* x x))) (exp x) (pow x 2) (exp (exp (* x x))) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (cbrt (exp (* x x))) (pow (exp (* x x)) 3) (sqrt (exp (* x x))) (sqrt (exp (* x x))) (expm1 (/ 1 (/ (exp 1.0) (exp (* x x))))) (log1p (/ 1 (/ (exp 1.0) (exp (* x x))))) (- 1) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (pow (exp 1) (exp (- (pow x 2) 1.0))) (/ 1 (pow (exp (- 1.0 (* x x))) 3)) (/ 1 (pow (exp (- 1.0 (* x x))) 3)) (* (cbrt (/ 1 (/ (exp 1.0) (exp (* x x))))) (cbrt (/ 1 (/ (exp 1.0) (exp (* x x)))))) (cbrt (/ 1 (/ (exp 1.0) (exp (* x x))))) (/ 1 (pow (exp (- 1.0 (* x x))) 3)) (sqrt (/ 1 (/ (exp 1.0) (exp (* x x))))) (sqrt (/ 1 (/ (exp 1.0) (exp (* x x))))) (- 1) (- (/ (exp 1.0) (exp (* x x)))) (/ (/ 1 (cbrt (/ (exp 1.0) (exp (* x x))))) (cbrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (cbrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (sqrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (sqrt (/ (exp 1.0) (exp (* x x))))) (/ (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (* (cbrt (exp 1.0)) (cbrt (exp 1.0)))) (/ (cbrt (exp (* x x))) (cbrt (exp 1.0))) (/ (sqrt (exp (* x x))) (* (cbrt (exp 1.0)) (cbrt (exp 1.0)))) (/ (sqrt (exp (* x x))) (cbrt (exp 1.0))) (/ 1 (* (cbrt (exp 1.0)) (cbrt (exp 1.0)))) (/ (exp (* x x)) (cbrt (exp 1.0))) (/ (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (sqrt (exp 1.0))) (/ (cbrt (exp (* x x))) (sqrt (exp 1.0))) (/ (sqrt (exp (* x x))) (sqrt (exp 1.0))) (/ (sqrt (exp (* x x))) (sqrt (exp 1.0))) (/ 1 (sqrt (exp 1.0))) (/ (exp (* x x)) (sqrt (exp 1.0))) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (/ 1 (/ (exp 1.0) (cbrt (exp (* x x))))) (sqrt (exp (* x x))) (/ (sqrt (exp (* x x))) (exp 1.0)) 1 (exp (- (pow x 2) 1.0)) 1 (exp (- (pow x 2) 1.0)) (/ 1 (exp 1.0)) (exp (* x x)) (/ (/ 1 (cbrt (/ (exp 1.0) (exp (* x x))))) (cbrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (cbrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (sqrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (sqrt (/ (exp 1.0) (exp (* x x))))) (/ (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (* (cbrt (exp 1.0)) (cbrt (exp 1.0)))) (/ (cbrt (exp (* x x))) (cbrt (exp 1.0))) (/ (sqrt (exp (* x x))) (* (cbrt (exp 1.0)) (cbrt (exp 1.0)))) (/ (sqrt (exp (* x x))) (cbrt (exp 1.0))) (/ 1 (* (cbrt (exp 1.0)) (cbrt (exp 1.0)))) (/ (exp (* x x)) (cbrt (exp 1.0))) (/ (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (sqrt (exp 1.0))) (/ (cbrt (exp (* x x))) (sqrt (exp 1.0))) (/ (sqrt (exp (* x x))) (sqrt (exp 1.0))) (/ (sqrt (exp (* x x))) (sqrt (exp 1.0))) (/ 1 (sqrt (exp 1.0))) (/ (exp (* x x)) (sqrt (exp 1.0))) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (/ 1 (/ (exp 1.0) (cbrt (exp (* x x))))) (sqrt (exp (* x x))) (/ (sqrt (exp (* x x))) (exp 1.0)) 1 (exp (- (pow x 2) 1.0)) 1 (exp (- (pow x 2) 1.0)) (/ 1 (exp 1.0)) (exp (* x x)) (/ (/ 1 (cbrt (/ (exp 1.0) (exp (* x x))))) (cbrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (cbrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (sqrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (sqrt (/ (exp 1.0) (exp (* x x))))) (/ (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (* (cbrt (exp 1.0)) (cbrt (exp 1.0)))) (/ (cbrt (exp (* x x))) (cbrt (exp 1.0))) (/ (sqrt (exp (* x x))) (* (cbrt (exp 1.0)) (cbrt (exp 1.0)))) (/ (sqrt (exp (* x x))) (cbrt (exp 1.0))) (/ 1 (* (cbrt (exp 1.0)) (cbrt (exp 1.0)))) (/ (exp (* x x)) (cbrt (exp 1.0))) (/ (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (sqrt (exp 1.0))) (/ (cbrt (exp (* x x))) (sqrt (exp 1.0))) (/ (sqrt (exp (* x x))) (sqrt (exp 1.0))) (/ (sqrt (exp (* x x))) (sqrt (exp 1.0))) (/ 1 (sqrt (exp 1.0))) (/ (exp (* x x)) (sqrt (exp 1.0))) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (/ 1 (/ (exp 1.0) (cbrt (exp (* x x))))) (sqrt (exp (* x x))) (/ (sqrt (exp (* x x))) (exp 1.0)) 1 (exp (- (pow x 2) 1.0)) 1 (exp (- (pow x 2) 1.0)) (/ 1 (exp 1.0)) (exp (* x x)) (exp (- (pow x 2) 1.0)) (exp (- 1.0 (* x x))) (/ (/ 1 (cbrt (/ (exp 1.0) (exp (* x x))))) (cbrt (/ (exp 1.0) (exp (* x x))))) (/ 1 (sqrt (/ (exp 1.0) (exp (* x x))))) (/ (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (* (cbrt (exp 1.0)) (cbrt (exp 1.0)))) (/ (sqrt (exp (* x x))) (* (cbrt (exp 1.0)) (cbrt (exp 1.0)))) (/ 1 (* (cbrt (exp 1.0)) (cbrt (exp 1.0)))) (/ (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (sqrt (exp 1.0))) (/ (sqrt (exp (* x x))) (sqrt (exp 1.0))) (/ 1 (sqrt (exp 1.0))) (* (cbrt (exp (* x x))) (cbrt (exp (* x x)))) (sqrt (exp (* x x))) 1 1 (/ 1 (exp 1.0)) (exp (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (/ 1 (exp 1.0)) (fma (* 1/2 (exp 1.0)) (pow x 4) (- (exp 1.0) (* (exp 1.0) (pow x 2)))) (exp (- 1.0 (* x x))) (exp (- 1.0 (* x x))) (fma x x (fma 1/2 (pow x 4) 1)) (exp (* x x)) (exp (* x x)) (fma (/ 1 (exp 1.0)) 1 (fma 1/2 (/ (pow x 4) (exp 1.0)) (/ (pow x 2) (exp 1.0)))) (exp (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) 0.483 * * * [progress]: adding candidates to table 0.820 * * [progress]: iteration 3 / 4 0.820 * * * [progress]: picking best candidate 0.824 * * * * [pick]: Picked # 0.824 * * * [progress]: localizing error 0.834 * * * [progress]: generating rewritten candidates 0.834 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.839 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.840 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.919 * * * [progress]: generating series expansions 0.919 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.920 * [approximate]: Taking taylor expansion of (* (sqrt (exp 1.0)) (/ 1 (exp (pow x 2)))) in (x) around 0 0.920 * [taylor]: Taking taylor expansion of (* (sqrt (exp 1.0)) (/ 1 (exp (pow x 2)))) in x 0.920 * [taylor]: Taking taylor expansion of (sqrt (exp 1.0)) in x 0.920 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.920 * [taylor]: Taking taylor expansion of 1.0 in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (exp (pow x 2))) in x 0.922 * [taylor]: Taking taylor expansion of (exp (pow x 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (* (sqrt (exp 1.0)) (/ 1 (exp (pow x 2)))) in x 0.923 * [taylor]: Taking taylor expansion of (sqrt (exp 1.0)) in x 0.923 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.923 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (exp (pow x 2))) in x 0.925 * [taylor]: Taking taylor expansion of (exp (pow x 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.953 * [approximate]: Taking taylor expansion of (* (sqrt (exp 1.0)) (/ 1 (exp (/ 1 (pow x 2))))) in (x) around 0 0.953 * [taylor]: Taking taylor expansion of (* (sqrt (exp 1.0)) (/ 1 (exp (/ 1 (pow x 2))))) in x 0.953 * [taylor]: Taking taylor expansion of (sqrt (exp 1.0)) in x 0.953 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 (pow x 2)))) in x 0.955 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (* (sqrt (exp 1.0)) (/ 1 (exp (/ 1 (pow x 2))))) in x 0.955 * [taylor]: Taking taylor expansion of (sqrt (exp 1.0)) in x 0.955 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 (pow x 2)))) in x 0.957 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.983 * [approximate]: Taking taylor expansion of (* (sqrt (exp 1.0)) (/ 1 (exp (/ 1 (pow x 2))))) in (x) around 0 0.983 * [taylor]: Taking taylor expansion of (* (sqrt (exp 1.0)) (/ 1 (exp (/ 1 (pow x 2))))) in x 0.983 * [taylor]: Taking taylor expansion of (sqrt (exp 1.0)) in x 0.983 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 (pow x 2)))) in x 0.985 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (* (sqrt (exp 1.0)) (/ 1 (exp (/ 1 (pow x 2))))) in x 0.986 * [taylor]: Taking taylor expansion of (sqrt (exp 1.0)) in x 0.986 * [taylor]: Taking taylor expansion of (exp 1.0) in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 (pow x 2)))) in x 0.988 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.988 * [taylor]: Taking taylor expansion of x in x 1.015 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 1.015 * [approximate]: Taking taylor expansion of (exp (pow x 2)) in (x) around 0 1.015 * [taylor]: Taking taylor expansion of (exp (pow x 2)) in x 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (exp (pow x 2)) in x 1.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.022 * [approximate]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in (x) around 0 1.022 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.023 * [approximate]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in (x) around 0 1.023 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.024 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.025 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.026 * [approximate]: Taking taylor expansion of (/ (exp (pow x 2)) (exp 1.0)) in (x) around 0 1.027 * [taylor]: Taking taylor expansion of (/ (exp (pow x 2)) (exp 1.0)) in x 1.027 * [taylor]: Taking taylor expansion of (exp (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (exp 1.0) in x 1.027 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of (/ (exp (pow x 2)) (exp 1.0)) in x 1.028 * [taylor]: Taking taylor expansion of (exp (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 1.028 * [taylor]: Taking taylor expansion of (exp 1.0) in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 (pow x 2))) (exp 1.0)) in (x) around 0 1.049 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow x 2))) (exp 1.0)) in x 1.049 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (exp 1.0) in x 1.050 * [taylor]: Taking taylor expansion of 1.0 in x 1.050 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow x 2))) (exp 1.0)) in x 1.050 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (exp 1.0) in x 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [approximate]: Taking taylor expansion of (/ (exp (/ 1 (pow x 2))) (exp 1.0)) in (x) around 0 1.075 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow x 2))) (exp 1.0)) in x 1.075 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (exp 1.0) in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of (/ (exp (/ 1 (pow x 2))) (exp 1.0)) in x 1.076 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow x 2))) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (exp 1.0) in x 1.077 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * * * [progress]: simplifying candidates 1.115 * [simplify]: Simplifying using # : (expm1 (/ (sqrt (exp 1.0)) (exp (* x x)))) (log1p (/ (sqrt (exp 1.0)) (exp (* x x)))) (- (log (sqrt (exp 1.0))) (* x x)) (log (/ (sqrt (exp 1.0)) (exp (* x x)))) (exp (/ (sqrt (exp 1.0)) (exp (* x x)))) (/ (* (* (sqrt (exp 1.0)) (sqrt (exp 1.0))) (sqrt (exp 1.0))) (* (* (exp (* x x)) (exp (* x x))) (exp (* x x)))) (* (cbrt (/ (sqrt (exp 1.0)) (exp (* x x)))) (cbrt (/ (sqrt (exp 1.0)) (exp (* x x))))) (cbrt (/ (sqrt (exp 1.0)) (exp (* x x)))) (* (* 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1.0))))) (/ (/ (sqrt (exp 1.0)) (exp (* x x))) (sqrt (/ 1 (sqrt (exp 1.0))))) (/ (/ (sqrt (exp 1.0)) (exp (* x x))) (/ (cbrt 1) (cbrt (sqrt (exp 1.0))))) (/ (/ (sqrt (exp 1.0)) (exp (* x x))) (/ (cbrt 1) (sqrt (cbrt (exp 1.0))))) (/ (/ (sqrt (exp 1.0)) (exp (* x x))) (/ (cbrt 1) (sqrt (sqrt (exp 1.0))))) (/ (/ (sqrt (exp 1.0)) (exp (* x x))) (/ (cbrt 1) (sqrt (exp 1.0)))) (/ (/ (sqrt (exp 1.0)) (exp (* x x))) (/ (cbrt 1) (sqrt (sqrt (exp 1.0))))) (/ (/ (sqrt (exp 1.0)) (exp (* x x))) (/ (cbrt 1) (sqrt (exp 1.0)))) (* (/ (sqrt (exp 1.0)) (exp (* x x))) (cbrt (sqrt (exp 1.0)))) (* (/ (sqrt (exp 1.0)) (exp (* x x))) (sqrt (cbrt (exp 1.0)))) (* (/ (sqrt (exp 1.0)) (exp (* x x))) (sqrt (sqrt (exp 1.0)))) (exp (- 1.0 (pow x 2))) (* (/ (sqrt (exp 1.0)) (exp (* x x))) (sqrt (sqrt (exp 1.0)))) (exp (- 1.0 (pow x 2))) (* (/ (sqrt (exp 1.0)) (exp (* x x))) (cbrt (sqrt (exp 1.0)))) (* (/ (sqrt (exp 1.0)) (exp (* x x))) (sqrt (cbrt (exp 1.0)))) (* (/ (sqrt (exp 1.0)) (exp (* x x))) (sqrt (sqrt (exp 1.0)))) (exp (- 1.0 (pow x 2))) (* (/ (sqrt (exp 1.0)) (exp (* x x))) (sqrt (sqrt (exp 1.0)))) (exp (- 1.0 (pow x 2))) (exp (- 1.0 (pow x 2))) (exp (- 1.0 (pow x 2))) (/ 1 (exp 1.0)) (exp (- 1.0 (pow x 2))) (- (+ (sqrt (exp 1.0)) (* 1/2 (* (sqrt (exp 1.0)) (pow x 4)))) (* (sqrt (exp 1.0)) (pow x 2))) (/ (sqrt (exp 1.0)) (exp (* x x))) (/ (sqrt (exp 1.0)) (exp (* x x))) (fma x x (fma 1/2 (pow x 4) 1)) (exp (* x x)) (exp (* x x)) (+ (/ 1 (exp 1.0)) (+ (/ (pow x 2) (exp 1.0)) (* 1/2 (/ (pow x 4) (exp 1.0))))) (exp (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) 1.230 * * * [progress]: adding candidates to table 2.017 * * [progress]: iteration 4 / 4 2.017 * * * [progress]: picking best candidate 2.018 * * * * [pick]: Picked # 2.019 * * * [progress]: localizing error 2.028 * * * [progress]: generating rewritten candidates 2.028 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.028 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.029 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 2.041 * * * [progress]: generating series expansions 2.041 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.041 * [approximate]: Taking taylor expansion of (expm1 (log1p (exp (- (pow x 2) 1.0)))) in (x) around 0 2.041 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (- (pow x 2) 1.0)))) in x 2.043 * [taylor]: Rewrote expression to (- (exp (log1p (exp (- (pow x 2) 1.0)))) 1) 2.043 * [taylor]: Taking taylor expansion of (exp (log1p (exp (- (pow x 2) 1.0)))) in x 2.043 * [taylor]: Taking taylor expansion of (log1p (exp (- (pow x 2) 1.0))) in x 2.043 * [taylor]: Rewrote expression to (log (+ 1 (exp (- (pow x 2) 1.0)))) 2.043 * [taylor]: Taking taylor expansion of (+ 1 (exp (- (pow x 2) 1.0))) in x 2.043 * [taylor]: Taking taylor expansion of 1 in x 2.043 * [taylor]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in x 2.043 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.043 * [taylor]: Taking taylor expansion of x in x 2.043 * [taylor]: Taking taylor expansion of 1.0 in x 2.054 * [taylor]: Taking taylor expansion of 1 in x 2.054 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (- (pow x 2) 1.0)))) in x 2.054 * [taylor]: Rewrote expression to (- (exp (log1p (exp (- (pow x 2) 1.0)))) 1) 2.054 * [taylor]: Taking taylor expansion of (exp (log1p (exp (- (pow x 2) 1.0)))) in x 2.054 * [taylor]: Taking taylor expansion of (log1p (exp (- (pow x 2) 1.0))) in x 2.054 * [taylor]: Rewrote expression to (log (+ 1 (exp (- (pow x 2) 1.0)))) 2.054 * [taylor]: Taking taylor expansion of (+ 1 (exp (- (pow x 2) 1.0))) in x 2.054 * [taylor]: Taking taylor expansion of 1 in x 2.054 * [taylor]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in x 2.054 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [taylor]: Taking taylor expansion of 1 in x 2.172 * [approximate]: Taking taylor expansion of (expm1 (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) in (x) around 0 2.173 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) in x 2.173 * [taylor]: Rewrote expression to (- (exp (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) 1) 2.173 * [taylor]: Taking taylor expansion of (exp (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) in x 2.173 * [taylor]: Taking taylor expansion of (log1p (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.173 * [taylor]: Rewrote expression to (log (+ 1 (exp (- (/ 1 (pow x 2)) 1.0)))) 2.173 * [taylor]: Taking taylor expansion of (+ 1 (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.173 * [taylor]: Taking taylor expansion of 1 in x 2.173 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 2.173 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.173 * [taylor]: Taking taylor expansion of x in x 2.173 * [taylor]: Taking taylor expansion of 1.0 in x 2.174 * [taylor]: Taking taylor expansion of 1 in x 2.174 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) in x 2.174 * [taylor]: Rewrote expression to (- (exp (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) 1) 2.174 * [taylor]: Taking taylor expansion of (exp (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) in x 2.174 * [taylor]: Taking taylor expansion of (log1p (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.174 * [taylor]: Rewrote expression to (log (+ 1 (exp (- (/ 1 (pow x 2)) 1.0)))) 2.174 * [taylor]: Taking taylor expansion of (+ 1 (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.174 * [taylor]: Taking taylor expansion of 1 in x 2.174 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 2.174 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.174 * [taylor]: Taking taylor expansion of x in x 2.175 * [taylor]: Taking taylor expansion of 1.0 in x 2.176 * [taylor]: Taking taylor expansion of 1 in x 2.216 * [approximate]: Taking taylor expansion of (expm1 (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) in (x) around 0 2.216 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) in x 2.216 * [taylor]: Rewrote expression to (- (exp (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) 1) 2.216 * [taylor]: Taking taylor expansion of (exp (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) in x 2.216 * [taylor]: Taking taylor expansion of (log1p (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.216 * [taylor]: Rewrote expression to (log (+ 1 (exp (- (/ 1 (pow x 2)) 1.0)))) 2.216 * [taylor]: Taking taylor expansion of (+ 1 (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.217 * [taylor]: Taking taylor expansion of 1 in x 2.217 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 2.217 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.217 * [taylor]: Taking taylor expansion of x in x 2.217 * [taylor]: Taking taylor expansion of 1.0 in x 2.218 * [taylor]: Taking taylor expansion of 1 in x 2.218 * [taylor]: Taking taylor expansion of (expm1 (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) in x 2.218 * [taylor]: Rewrote expression to (- (exp (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) 1) 2.218 * [taylor]: Taking taylor expansion of (exp (log1p (exp (- (/ 1 (pow x 2)) 1.0)))) in x 2.218 * [taylor]: Taking taylor expansion of (log1p (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.218 * [taylor]: Rewrote expression to (log (+ 1 (exp (- (/ 1 (pow x 2)) 1.0)))) 2.218 * [taylor]: Taking taylor expansion of (+ 1 (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.218 * [taylor]: Taking taylor expansion of 1 in x 2.218 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 2.219 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.219 * [taylor]: Taking taylor expansion of 1.0 in x 2.220 * [taylor]: Taking taylor expansion of 1 in x 2.255 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.255 * [approximate]: Taking taylor expansion of (log1p (exp (- (pow x 2) 1.0))) in (x) around 0 2.255 * [taylor]: Taking taylor expansion of (log1p (exp (- (pow x 2) 1.0))) in x 2.255 * [taylor]: Rewrote expression to (log (+ 1 (exp (- (pow x 2) 1.0)))) 2.255 * [taylor]: Taking taylor expansion of (+ 1 (exp (- (pow x 2) 1.0))) in x 2.255 * [taylor]: Taking taylor expansion of 1 in x 2.255 * [taylor]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in x 2.255 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.255 * [taylor]: Taking taylor expansion of x in x 2.255 * [taylor]: Taking taylor expansion of 1.0 in x 2.259 * [taylor]: Taking taylor expansion of (log1p (exp (- (pow x 2) 1.0))) in x 2.259 * [taylor]: Rewrote expression to (log (+ 1 (exp (- (pow x 2) 1.0)))) 2.259 * [taylor]: Taking taylor expansion of (+ 1 (exp (- (pow x 2) 1.0))) in x 2.259 * [taylor]: Taking taylor expansion of 1 in x 2.259 * [taylor]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in x 2.259 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.259 * [taylor]: Taking taylor expansion of x in x 2.259 * [taylor]: Taking taylor expansion of 1.0 in x 2.347 * [approximate]: Taking taylor expansion of (log1p (exp (- (/ 1 (pow x 2)) 1.0))) in (x) around 0 2.347 * [taylor]: Taking taylor expansion of (log1p (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.348 * [taylor]: Rewrote expression to (log (+ 1 (exp (- (/ 1 (pow x 2)) 1.0)))) 2.348 * [taylor]: Taking taylor expansion of (+ 1 (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.348 * [taylor]: Taking taylor expansion of 1 in x 2.348 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 2.348 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.348 * [taylor]: Taking taylor expansion of x in x 2.348 * [taylor]: Taking taylor expansion of 1.0 in x 2.349 * [taylor]: Taking taylor expansion of (log1p (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.349 * [taylor]: Rewrote expression to (log (+ 1 (exp (- (/ 1 (pow x 2)) 1.0)))) 2.349 * [taylor]: Taking taylor expansion of (+ 1 (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.349 * [taylor]: Taking taylor expansion of 1 in x 2.349 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 2.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.349 * [taylor]: Taking taylor expansion of x in x 2.350 * [taylor]: Taking taylor expansion of 1.0 in x 2.373 * [approximate]: Taking taylor expansion of (log1p (exp (- (/ 1 (pow x 2)) 1.0))) in (x) around 0 2.373 * [taylor]: Taking taylor expansion of (log1p (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.373 * [taylor]: Rewrote expression to (log (+ 1 (exp (- (/ 1 (pow x 2)) 1.0)))) 2.373 * [taylor]: Taking taylor expansion of (+ 1 (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.373 * [taylor]: Taking taylor expansion of 1 in x 2.373 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 2.373 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.373 * [taylor]: Taking taylor expansion of 1.0 in x 2.374 * [taylor]: Taking taylor expansion of (log1p (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.374 * [taylor]: Rewrote expression to (log (+ 1 (exp (- (/ 1 (pow x 2)) 1.0)))) 2.374 * [taylor]: Taking taylor expansion of (+ 1 (exp (- (/ 1 (pow x 2)) 1.0))) in x 2.374 * [taylor]: Taking taylor expansion of 1 in x 2.374 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 2.374 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.374 * [taylor]: Taking taylor expansion of x in x 2.375 * [taylor]: Taking taylor expansion of 1.0 in x 2.403 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 2.404 * [approximate]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in (x) around 0 2.404 * [taylor]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in x 2.404 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.405 * [taylor]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in x 2.405 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.405 * [taylor]: Taking taylor expansion of x in x 2.405 * [taylor]: Taking taylor expansion of 1.0 in x 2.422 * [approximate]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 2.423 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 2.423 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.423 * [taylor]: Taking taylor expansion of x in x 2.423 * [taylor]: Taking taylor expansion of 1.0 in x 2.424 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 2.424 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.424 * [taylor]: Taking taylor expansion of x in x 2.424 * [taylor]: Taking taylor expansion of 1.0 in x 2.425 * [approximate]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 2.425 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 2.425 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.425 * [taylor]: Taking taylor expansion of x in x 2.426 * [taylor]: Taking taylor expansion of 1.0 in x 2.426 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 2.426 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.426 * [taylor]: Taking taylor expansion of x in x 2.426 * [taylor]: Taking taylor expansion of 1.0 in x 2.427 * * * [progress]: simplifying candidates 2.428 * [simplify]: Simplifying using # : (exp (log1p (exp (- (- 1.0 (* x x)))))) (expm1 (expm1 (log1p (exp (- (- 1.0 (* x x))))))) (log1p (expm1 (log1p (exp (- (- 1.0 (* x x))))))) (log (expm1 (log1p (exp (- (- 1.0 (* x x))))))) (exp (expm1 (log1p (exp (- (- 1.0 (* x x))))))) (* (cbrt (expm1 (log1p (exp (- (- 1.0 (* x x))))))) (cbrt (expm1 (log1p (exp (- (- 1.0 (* x x)))))))) (cbrt (expm1 (log1p (exp (- (- 1.0 (* x x))))))) (* (* (expm1 (log1p (exp (- (- 1.0 (* x x)))))) (expm1 (log1p (exp (- (- 1.0 (* x x))))))) (expm1 (log1p (exp (- (- 1.0 (* x x))))))) (sqrt (expm1 (log1p (exp (- (- 1.0 (* x x))))))) (sqrt (expm1 (log1p (exp (- (- 1.0 (* x x))))))) (+ 1 (exp (- (- 1.0 (* x x))))) (expm1 (log1p (exp (- (- 1.0 (* x x)))))) (log1p (log1p (exp (- (- 1.0 (* x x)))))) (log (log1p (exp (- (- 1.0 (* x x)))))) (exp (log1p (exp (- (- 1.0 (* x x)))))) (* (cbrt (log1p (exp (- (- 1.0 (* x x)))))) (cbrt (log1p (exp (- (- 1.0 (* x x))))))) (cbrt (log1p (exp (- (- 1.0 (* x x)))))) (* (* (log1p (exp (- (- 1.0 (* x x))))) (log1p (exp (- (- 1.0 (* x x)))))) (log1p (exp (- (- 1.0 (* x x)))))) (sqrt (log1p (exp (- (- 1.0 (* x x)))))) (sqrt (log1p (exp (- (- 1.0 (* x x)))))) (expm1 (exp (- (- 1.0 (* x x))))) (log1p (exp (- (- 1.0 (* x x))))) (exp (* (cbrt (- (- 1.0 (* x x)))) (cbrt (- (- 1.0 (* x x)))))) (exp (sqrt (- (- 1.0 (* x x))))) (exp 1) (exp -1) (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (exp (- (sqrt (- 1.0 (* x x))))) (exp (- 1)) (exp (- (+ (sqrt 1.0) x))) (exp (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (exp (sqrt (- 1.0 (* x x)))) (exp 1) (exp (+ (sqrt 1.0) x)) (exp (- (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* x x))))) (exp (- (fma (- x) x (* x x)))) (exp (- (fma (sqrt 1.0) (sqrt 1.0) (- (* x x))))) (exp (- (fma (- x) x (* x x)))) (exp (- (fma 1 1.0 (- (* x x))))) (exp (- (fma (- x) x (* x x)))) (exp (- 1.0)) (exp (- (- (* x x)))) (exp (- 1.0)) (exp (- (- (* x x)))) (exp (- 1.0 (* x x))) (exp 0) (exp (- 1.0 (* x x))) (log (exp (- (- 1.0 (* x x))))) (exp (exp (- (- 1.0 (* x x))))) (* (cbrt (exp (- (- 1.0 (* x x))))) (cbrt (exp (- (- 1.0 (* x x)))))) (cbrt (exp (- (- 1.0 (* x x))))) (* (* (exp (- (- 1.0 (* x x)))) (exp (- (- 1.0 (* x x))))) (exp (- (- 1.0 (* x x))))) (sqrt (exp (- (- 1.0 (* x x))))) (sqrt (exp (- (- 1.0 (* x x))))) (+ (* (pow x 2) (exp (- 1.0))) (+ (exp (- 1.0)) (* 1/2 (* (pow x 4) (exp (- 1.0)))))) (exp (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) (- (+ (* 1/2 (/ (* (pow x 4) (exp (- 1.0))) (+ (exp (- 1.0)) 1))) (+ (/ (* (pow x 2) (exp (- 1.0))) (+ (exp (- 1.0)) 1)) (log (+ (exp (- 1.0)) 1)))) (* 1/2 (/ (* (pow x 4) (pow (exp (- 1.0)) 2)) (pow (+ (exp (- 1.0)) 1) 2)))) (log (+ (exp (- (pow x 2) 1.0)) 1)) (log (+ (exp (- (pow x 2) 1.0)) 1)) (+ (* (pow x 2) (exp (- 1.0))) (+ (exp (- 1.0)) (* 1/2 (* (pow x 4) (exp (- 1.0)))))) (exp (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) 2.432 * * [simplify]: iteration 0 : 205 enodes (cost 377 ) 2.436 * * [simplify]: iteration 1 : 618 enodes (cost 328 ) 2.447 * * [simplify]: iteration 2 : 2998 enodes (cost 302 ) 2.527 * * [simplify]: iteration 3 : 5001 enodes (cost 294 ) 2.529 * [simplify]: Simplified to: (+ (exp (- (pow x 2) 1.0)) 1) (expm1 (exp (- (- 1.0 (* x x))))) (log1p (exp (- (pow x 2) 1.0))) (- (pow x 2) 1.0) (exp (exp (- (- 1.0 (* x x))))) (* (cbrt (exp (- (- 1.0 (* x x))))) (cbrt (exp (- (- 1.0 (* x x)))))) (cbrt (exp (- (- 1.0 (* x x))))) (pow (exp 3) (- (pow x 2) 1.0)) (sqrt (exp (- (- 1.0 (* x x))))) (sqrt (exp (- (- 1.0 (* x x))))) (+ (exp (- (pow x 2) 1.0)) 1) (exp (- (pow x 2) 1.0)) (log1p (log1p (exp (- (- 1.0 (* x x)))))) (log (log1p (exp (- (- 1.0 (* x x)))))) (+ (exp (- (pow x 2) 1.0)) 1) (* (cbrt (log1p (exp (- (- 1.0 (* x x)))))) (cbrt (log1p (exp (- (- 1.0 (* x x))))))) (cbrt (log1p (exp (- (- 1.0 (* x x)))))) (pow (log1p (exp (- (pow x 2) 1.0))) 3) (sqrt (log1p (exp (- (- 1.0 (* x x)))))) (sqrt (log1p (exp (- (- 1.0 (* x x)))))) (expm1 (exp (- (- 1.0 (* x x))))) (log1p (exp (- (pow x 2) 1.0))) (exp (* (cbrt (- (- 1.0 (* x x)))) (cbrt (- (- 1.0 (* x x)))))) (exp (sqrt (- (- 1.0 (* x x))))) E (exp -1) (exp (- (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (exp (- (sqrt (- 1.0 (* x x))))) (exp -1) (exp (- (+ (sqrt 1.0) x))) (exp (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (exp (sqrt (- 1.0 (* x x)))) E (exp (+ (sqrt 1.0) x)) (exp (+ (- (pow x 2) (pow (cbrt 1.0) 3)) 0)) 1 (exp (- (pow x 2) 1.0)) 1 (exp (- (pow x 2) 1.0)) 1 (exp (- 1.0)) (exp (pow x 2)) (exp (- 1.0)) (exp (pow x 2)) (exp (- 1.0 (* x x))) 1 (exp (- 1.0 (* x x))) (- (pow x 2) 1.0) (exp (exp (- (- 1.0 (* x x))))) (* (cbrt (exp (- (- 1.0 (* x x))))) (cbrt (exp (- (- 1.0 (* x x)))))) (cbrt (exp (- (- 1.0 (* x x))))) (pow (exp 3) (- (pow x 2) 1.0)) (sqrt (exp (- (- 1.0 (* x x))))) (sqrt (exp (- (- 1.0 (* x x))))) (* (exp (- 1.0)) (+ (pow x 2) (fma 1/2 (pow x 4) 1))) (exp (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) (fma (* -1/2 (/ (pow x 4) (pow (+ (exp (- 1.0)) 1) 2))) (pow (exp (- 1.0)) 2) (fma (/ 1/2 (+ (exp (- 1.0)) 1)) (/ (pow x 4) (exp 1.0)) (fma (/ x (+ (exp (- 1.0)) 1)) (/ x (exp 1.0)) (log1p (exp (- 1.0)))))) (log1p (exp (- (pow x 2) 1.0))) (log1p (exp (- (pow x 2) 1.0))) (* (exp (- 1.0)) (+ (pow x 2) (fma 1/2 (pow x 4) 1))) (exp (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) 2.530 * * * [progress]: adding candidates to table 2.664 * [progress]: [Phase 3 of 3] Extracting. 2.664 * * [regime]: Finding splitpoints for: (# # #) 2.665 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- 1.0 (* x x)) (- (- 1.0 (* x x))) (exp (- (- 1.0 (* x x)))) x) 2.665 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 2.676 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# # #) 2.686 * * * * [regimes]: Trying to branch on (- (- 1.0 (* x x))) from (# # #) 2.697 * * * * [regimes]: Trying to branch on (exp (- (- 1.0 (* x x)))) from (# # #) 2.713 * * * * [regimes]: Trying to branch on x from (# # #) 2.726 * * * [regime]: Found split indices: #