12.043 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (exp (neg (- 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 : 47 enodes (cost 4 ) 0.027 * * [simplify]: iteration 3 : 90 enodes (cost 4 ) 0.029 * * [simplify]: iteration 4 : 239 enodes (cost 4 ) 0.033 * * [simplify]: iteration 5 : 805 enodes (cost 4 ) 0.045 * * [simplify]: iteration 6 : 2934 enodes (cost 4 ) 0.083 * * [simplify]: iteration 7 : 5002 enodes (cost 4 ) 0.084 * [simplify]: Simplified to: (exp (neg (- 1.0 (* x x)))) 0.084 * * [progress]: iteration 1 / 4 0.084 * * * [progress]: picking best candidate 0.085 * * * * [pick]: Picked # 0.085 * * * [progress]: localizing error 0.091 * * * [progress]: generating rewritten candidates 0.091 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.096 * * * [progress]: generating series expansions 0.096 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.096 * [approximate]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in (x) around 0 0.096 * [taylor]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in x 0.096 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [approximate]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.116 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 0.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [approximate]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.118 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 0.119 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * * * [progress]: simplifying candidates 0.121 * [simplify]: Simplifying using # : (exp (* (cbrt (neg (- 1.0 (* x x)))) (cbrt (neg (- 1.0 (* x x)))))) (exp (sqrt (neg (- 1.0 (* x x))))) (exp 1) (exp -1) (exp (neg (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (exp (neg (sqrt (- 1.0 (* x x))))) (exp (neg 1)) (exp (neg (+ (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 (neg 1.0)) (exp (neg (neg (* x x)))) (exp (neg 1.0)) (exp (neg (neg (* x x)))) (exp (- 1.0 (* x x))) (exp 0) (exp (- 1.0 (* x x))) (log (exp (neg (- 1.0 (* x x))))) (exp (exp (neg (- 1.0 (* x x))))) (* (cbrt (exp (neg (- 1.0 (* x x))))) (cbrt (exp (neg (- 1.0 (* x x)))))) (cbrt (exp (neg (- 1.0 (* x x))))) (* (* (exp (neg (- 1.0 (* x x)))) (exp (neg (- 1.0 (* x x))))) (exp (neg (- 1.0 (* x x))))) (sqrt (exp (neg (- 1.0 (* x x))))) (sqrt (exp (neg (- 1.0 (* x x))))) (+ (* (exp (neg 1.0)) (pow x 2)) (+ (exp (neg 1.0)) (* 1/2 (* (exp (neg 1.0)) (pow x 4))))) (exp (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) 0.124 * * [simplify]: iteration 0 : 108 enodes (cost 130 ) 0.126 * * [simplify]: iteration 1 : 296 enodes (cost 119 ) 0.132 * * [simplify]: iteration 2 : 1343 enodes (cost 116 ) 0.165 * * [simplify]: iteration 3 : 5001 enodes (cost 114 ) 0.166 * [simplify]: Simplified to: (exp (* (cbrt (neg (- 1.0 (* x x)))) (cbrt (neg (- 1.0 (* x x)))))) (exp (sqrt (neg (- 1.0 (* x x))))) E (exp -1) (exp (neg (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (exp (neg (sqrt (- 1.0 (* x x))))) (exp -1) (exp (neg (+ (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 (neg 1.0)) (exp (pow x 2)) (exp (neg 1.0)) (exp (pow x 2)) (exp (- 1.0 (* x x))) 1 (exp (- 1.0 (* x x))) (- (pow x 2) 1.0) (pow E (exp (- (pow x 2) 1.0))) (* (cbrt (exp (neg (- 1.0 (* x x))))) (cbrt (exp (neg (- 1.0 (* x x)))))) (cbrt (exp (neg (- 1.0 (* x x))))) (pow (exp 3) (- (pow x 2) 1.0)) (sqrt (exp (neg (- 1.0 (* x x))))) (sqrt (exp (neg (- 1.0 (* x x))))) (* (exp (neg 1.0)) (+ (+ (pow x 2) 1) (* 1/2 (pow x 4)))) (exp (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) 0.166 * * * [progress]: adding candidates to table 0.210 * * [progress]: iteration 2 / 4 0.210 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.221 * * * [progress]: generating rewritten candidates 0.221 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.236 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.248 * * * [progress]: generating series expansions 0.248 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.253 * [approximate]: Taking taylor expansion of (pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0))) in (x) around 0 0.253 * [taylor]: Taking taylor expansion of (pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0))) in x 0.253 * [taylor]: Taking taylor expansion of (exp (* (- x (sqrt 1.0)) (log (exp (+ x (sqrt 1.0)))))) in x 0.253 * [taylor]: Taking taylor expansion of (* (- x (sqrt 1.0)) (log (exp (+ x (sqrt 1.0))))) in x 0.253 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.253 * [taylor]: Taking taylor expansion of 1.0 in x 0.254 * [taylor]: Taking taylor expansion of (log (exp (+ x (sqrt 1.0)))) in x 0.254 * [taylor]: Taking taylor expansion of (exp (+ x (sqrt 1.0))) in x 0.254 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.254 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * [taylor]: Taking taylor expansion of (pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0))) in x 0.266 * [taylor]: Taking taylor expansion of (exp (* (- x (sqrt 1.0)) (log (exp (+ x (sqrt 1.0)))))) in x 0.266 * [taylor]: Taking taylor expansion of (* (- x (sqrt 1.0)) (log (exp (+ x (sqrt 1.0))))) in x 0.266 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.266 * [taylor]: Taking taylor expansion of 1.0 in x 0.267 * [taylor]: Taking taylor expansion of (log (exp (+ x (sqrt 1.0)))) in x 0.267 * [taylor]: Taking taylor expansion of (exp (+ x (sqrt 1.0))) in x 0.267 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.267 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [approximate]: Taking taylor expansion of (pow (exp (+ (sqrt 1.0) (/ 1 x))) (- (/ 1 x) (sqrt 1.0))) in (x) around 0 0.459 * [taylor]: Taking taylor expansion of (pow (exp (+ (sqrt 1.0) (/ 1 x))) (- (/ 1 x) (sqrt 1.0))) in x 0.459 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 x) (sqrt 1.0)) (log (exp (+ (sqrt 1.0) (/ 1 x)))))) in x 0.459 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (log (exp (+ (sqrt 1.0) (/ 1 x))))) in x 0.459 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of (log (exp (+ (sqrt 1.0) (/ 1 x)))) in x 0.460 * [taylor]: Taking taylor expansion of (exp (+ (sqrt 1.0) (/ 1 x))) in x 0.460 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.460 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (pow (exp (+ (sqrt 1.0) (/ 1 x))) (- (/ 1 x) (sqrt 1.0))) in x 0.463 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 x) (sqrt 1.0)) (log (exp (+ (sqrt 1.0) (/ 1 x)))))) in x 0.463 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (log (exp (+ (sqrt 1.0) (/ 1 x))))) in x 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of (log (exp (+ (sqrt 1.0) (/ 1 x)))) in x 0.467 * [taylor]: Taking taylor expansion of (exp (+ (sqrt 1.0) (/ 1 x))) in x 0.467 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.467 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.472 * [approximate]: Taking taylor expansion of (pow (exp (- (sqrt 1.0) (/ 1 x))) (neg (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.472 * [taylor]: Taking taylor expansion of (pow (exp (- (sqrt 1.0) (/ 1 x))) (neg (+ (sqrt 1.0) (/ 1 x)))) in x 0.472 * [taylor]: Taking taylor expansion of (exp (* (neg (+ (sqrt 1.0) (/ 1 x))) (log (exp (- (sqrt 1.0) (/ 1 x)))))) in x 0.472 * [taylor]: Taking taylor expansion of (* (neg (+ (sqrt 1.0) (/ 1 x))) (log (exp (- (sqrt 1.0) (/ 1 x))))) in x 0.473 * [taylor]: Taking taylor expansion of (neg (+ (sqrt 1.0) (/ 1 x))) in x 0.473 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.473 * [taylor]: Taking taylor expansion of 1.0 in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (log (exp (- (sqrt 1.0) (/ 1 x)))) in x 0.474 * [taylor]: Taking taylor expansion of (exp (- (sqrt 1.0) (/ 1 x))) in x 0.474 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (pow (exp (- (sqrt 1.0) (/ 1 x))) (neg (+ (sqrt 1.0) (/ 1 x)))) in x 0.477 * [taylor]: Taking taylor expansion of (exp (* (neg (+ (sqrt 1.0) (/ 1 x))) (log (exp (- (sqrt 1.0) (/ 1 x)))))) in x 0.477 * [taylor]: Taking taylor expansion of (* (neg (+ (sqrt 1.0) (/ 1 x))) (log (exp (- (sqrt 1.0) (/ 1 x))))) in x 0.477 * [taylor]: Taking taylor expansion of (neg (+ (sqrt 1.0) (/ 1 x))) in x 0.477 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (log (exp (- (sqrt 1.0) (/ 1 x)))) in x 0.478 * [taylor]: Taking taylor expansion of (exp (- (sqrt 1.0) (/ 1 x))) in x 0.478 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.483 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.484 * [approximate]: Taking taylor expansion of (exp (+ x (sqrt 1.0))) in (x) around 0 0.484 * [taylor]: Taking taylor expansion of (exp (+ x (sqrt 1.0))) in x 0.484 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.484 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (exp (+ x (sqrt 1.0))) in x 0.485 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [approximate]: Taking taylor expansion of (exp (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 0.497 * [taylor]: Taking taylor expansion of (exp (+ (sqrt 1.0) (/ 1 x))) in x 0.497 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (exp (+ (sqrt 1.0) (/ 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.501 * [approximate]: Taking taylor expansion of (exp (- (sqrt 1.0) (/ 1 x))) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (exp (- (sqrt 1.0) (/ 1 x))) in x 0.501 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (exp (- (sqrt 1.0) (/ 1 x))) in x 0.503 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * * * [progress]: simplifying candidates 0.507 * [simplify]: Simplifying using # : (* (+ (sqrt 1.0) x) (neg (- (sqrt 1.0) x))) (* (log (exp (+ (sqrt 1.0) x))) (neg (- (sqrt 1.0) x))) (* 1 (neg (- (sqrt 1.0) x))) (* (cbrt (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x))) (* (sqrt (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x))) (* (+ (sqrt 1.0) x) (neg (- (sqrt 1.0) x))) (* (+ (sqrt 1.0) x) (neg (- (sqrt 1.0) x))) (pow (exp (+ (sqrt 1.0) x)) (- (sqrt 1.0) x)) (pow (exp (+ (sqrt 1.0) x)) 0) (pow (exp (+ (sqrt 1.0) x)) (- (sqrt 1.0) x)) (pow (exp (+ (sqrt 1.0) x)) (* (cbrt (neg (- (sqrt 1.0) x))) (cbrt (neg (- (sqrt 1.0) x))))) (pow (exp (+ (sqrt 1.0) x)) (sqrt (neg (- (sqrt 1.0) x)))) (pow (exp (+ (sqrt 1.0) x)) 1) (pow (exp (+ (sqrt 1.0) x)) -1) (pow (exp (+ (sqrt 1.0) x)) (neg (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x))))) (pow (exp (+ (sqrt 1.0) x)) (neg (sqrt (- (sqrt 1.0) x)))) (pow (exp (+ (sqrt 1.0) x)) (neg 1)) (pow (exp (+ (sqrt 1.0) x)) (neg (+ (sqrt (sqrt 1.0)) (sqrt x)))) (pow (exp (+ (sqrt 1.0) x)) (neg (+ (sqrt (sqrt 1.0)) (sqrt x)))) (pow (exp (+ (sqrt 1.0) x)) (neg 1)) (pow (exp (+ (sqrt 1.0) x)) (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)))) (pow (exp (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (pow (exp (+ (sqrt 1.0) x)) 1) (pow (exp (+ (sqrt 1.0) x)) (+ (sqrt (sqrt 1.0)) (sqrt x))) (pow (exp (+ (sqrt 1.0) x)) (+ (sqrt (sqrt 1.0)) (sqrt x))) (pow (exp (+ (sqrt 1.0) x)) 1) (pow (exp (+ (sqrt 1.0) x)) (neg (sqrt 1.0))) (pow (exp (+ (sqrt 1.0) x)) (neg (neg x))) (pow (exp (+ (sqrt 1.0) x)) (neg (sqrt 1.0))) (pow (exp (+ (sqrt 1.0) x)) (neg (neg x))) (pow (exp (sqrt 1.0)) (neg (- (sqrt 1.0) x))) (pow (exp x) (neg (- (sqrt 1.0) x))) (pow (* (cbrt (exp (+ (sqrt 1.0) x))) (cbrt (exp (+ (sqrt 1.0) x)))) (neg (- (sqrt 1.0) x))) (pow (cbrt (exp (+ (sqrt 1.0) x))) (neg (- (sqrt 1.0) x))) (pow (sqrt (exp (+ (sqrt 1.0) x))) (neg (- (sqrt 1.0) x))) (pow (sqrt (exp (+ (sqrt 1.0) x))) (neg (- (sqrt 1.0) x))) (pow 1 (neg (- (sqrt 1.0) x))) (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x))) (log (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (exp (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (* (cbrt (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (cbrt (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x))))) (cbrt (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (* (* (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x))) (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (sqrt (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (sqrt (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (pow (exp (+ (sqrt 1.0) x)) (/ (neg (- (sqrt 1.0) x)) 2)) (pow (exp (+ (sqrt 1.0) x)) (/ (neg (- (sqrt 1.0) x)) 2)) (exp (* (cbrt (+ (sqrt 1.0) x)) (cbrt (+ (sqrt 1.0) x)))) (exp (sqrt (+ (sqrt 1.0) x))) (exp 1) (exp 1) (exp (sqrt 1.0)) (exp x) (log (exp (+ (sqrt 1.0) x))) (exp (exp (+ (sqrt 1.0) x))) (* (cbrt (exp (+ (sqrt 1.0) x))) (cbrt (exp (+ (sqrt 1.0) x)))) (cbrt (exp (+ (sqrt 1.0) x))) (* (* (exp (+ (sqrt 1.0) x)) (exp (+ (sqrt 1.0) x))) (exp (+ (sqrt 1.0) x))) (sqrt (exp (+ (sqrt 1.0) x))) (sqrt (exp (+ (sqrt 1.0) x))) (+ (* 1/2 (* (pow x 4) (exp (* -1 (pow (sqrt 1.0) 2))))) (+ (* (pow x 2) (exp (* -1 (pow (sqrt 1.0) 2)))) (exp (* -1 (pow (sqrt 1.0) 2))))) (exp (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (exp (* -1 (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x)))) (+ (* (exp (sqrt 1.0)) x) (+ (exp (sqrt 1.0)) (* 1/2 (* (exp (sqrt 1.0)) (pow x 2))))) (exp (+ x (sqrt 1.0))) (exp (+ x (sqrt 1.0))) 0.511 * * [simplify]: iteration 0 : 244 enodes (cost 431 ) 0.516 * * [simplify]: iteration 1 : 972 enodes (cost 400 ) 0.533 * * [simplify]: iteration 2 : 4780 enodes (cost 386 ) 0.645 * * [simplify]: iteration 3 : 5001 enodes (cost 386 ) 0.647 * [simplify]: Simplified to: (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (- x (sqrt 1.0)) (* (cbrt (+ (sqrt 1.0) x)) (- x (sqrt 1.0))) (* (sqrt (+ (sqrt 1.0) x)) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (exp (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) 1 (exp (* (+ x (sqrt 1.0)) (- (sqrt 1.0) x))) (pow (exp (+ (sqrt 1.0) x)) (* (cbrt (neg (- (sqrt 1.0) x))) (cbrt (neg (- (sqrt 1.0) x))))) (pow (exp (+ (sqrt 1.0) x)) (sqrt (neg (- (sqrt 1.0) x)))) (exp (+ (sqrt 1.0) x)) (pow (exp (+ (sqrt 1.0) x)) -1) (pow (exp (+ (sqrt 1.0) x)) (neg (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x))))) (pow (exp (+ (sqrt 1.0) x)) (neg (sqrt (- (sqrt 1.0) x)))) (pow (exp (+ (sqrt 1.0) x)) -1) (pow (exp (+ (sqrt 1.0) x)) (neg (+ (sqrt (sqrt 1.0)) (sqrt x)))) (pow (exp (+ (sqrt 1.0) x)) (neg (+ (sqrt (sqrt 1.0)) (sqrt x)))) (pow (exp (+ (sqrt 1.0) x)) -1) (pow (exp (+ (sqrt 1.0) x)) (* (cbrt (- (sqrt 1.0) x)) (cbrt (- (sqrt 1.0) x)))) (pow (exp (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x))) (exp (+ (sqrt 1.0) x)) (pow (exp (+ (sqrt 1.0) x)) (+ (sqrt (sqrt 1.0)) (sqrt x))) (pow (exp (+ (sqrt 1.0) x)) (+ (sqrt (sqrt 1.0)) (sqrt x))) (exp (+ (sqrt 1.0) x)) (pow (exp (+ (sqrt 1.0) x)) (neg (sqrt 1.0))) (pow (exp (+ (sqrt 1.0) x)) (neg (neg x))) (pow (exp (+ (sqrt 1.0) x)) (neg (sqrt 1.0))) (pow (exp (+ (sqrt 1.0) x)) (neg (neg x))) (pow (exp (sqrt 1.0)) (- x (sqrt 1.0))) (pow (exp x) (- x (sqrt 1.0))) (pow (* (cbrt (exp (+ (sqrt 1.0) x))) (cbrt (exp (+ (sqrt 1.0) x)))) (- x (sqrt 1.0))) (pow (cbrt (exp (+ (sqrt 1.0) x))) (- x (sqrt 1.0))) (pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0))) (pow (pow (exp (+ (sqrt 1.0) x)) 1/2) (- x (sqrt 1.0))) 1 (exp (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (exp (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (* (cbrt (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (cbrt (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x))))) (cbrt (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (pow (exp (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) 3) (sqrt (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (sqrt (pow (exp (+ (sqrt 1.0) x)) (neg (- (sqrt 1.0) x)))) (pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2)) (pow (exp (+ (sqrt 1.0) x)) (/ (- x (sqrt 1.0)) 2)) (exp (* (cbrt (+ (sqrt 1.0) x)) (cbrt (+ (sqrt 1.0) x)))) (exp (sqrt (+ (sqrt 1.0) x))) E E (exp (sqrt 1.0)) (exp x) (+ (sqrt 1.0) x) (exp (exp (+ (sqrt 1.0) x))) (* (cbrt (exp (+ (sqrt 1.0) x))) (cbrt (exp (+ (sqrt 1.0) x)))) (cbrt (exp (+ (sqrt 1.0) x))) (pow (exp (+ (sqrt 1.0) x)) 3) (pow (exp (+ (sqrt 1.0) x)) 1/2) (pow (exp (+ (sqrt 1.0) x)) 1/2) (* (+ (* 1/2 (pow x 4)) (+ (pow x 2) 1)) (exp (- 0 1.0))) (exp (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (exp (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) (* (exp (sqrt 1.0)) (+ (+ x 1) (* 1/2 (pow x 2)))) (exp (+ (sqrt 1.0) x)) (exp (+ (sqrt 1.0) x)) 0.648 * * * [progress]: adding candidates to table 0.736 * * [progress]: iteration 3 / 4 0.736 * * * [progress]: picking best candidate 0.737 * * * * [pick]: Picked # 0.737 * * * [progress]: localizing error 0.743 * * * [progress]: generating rewritten candidates 0.743 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.751 * * * [progress]: generating series expansions 0.751 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.751 * [approximate]: Taking taylor expansion of (pow E (- (pow x 2) 1.0)) in (x) around 0 0.751 * [taylor]: Taking taylor expansion of (pow E (- (pow x 2) 1.0)) in x 0.751 * [taylor]: Taking taylor expansion of (exp (* (- (pow x 2) 1.0) (log E))) in x 0.751 * [taylor]: Taking taylor expansion of (* (- (pow x 2) 1.0) (log E)) in x 0.751 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [taylor]: Taking taylor expansion of (log E) in x 0.751 * [taylor]: Taking taylor expansion of E in x 0.753 * [taylor]: Taking taylor expansion of (pow E (- (pow x 2) 1.0)) in x 0.753 * [taylor]: Taking taylor expansion of (exp (* (- (pow x 2) 1.0) (log E))) in x 0.753 * [taylor]: Taking taylor expansion of (* (- (pow x 2) 1.0) (log E)) in x 0.753 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (log E) in x 0.753 * [taylor]: Taking taylor expansion of E in x 0.780 * [approximate]: Taking taylor expansion of (pow E (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.781 * [taylor]: Taking taylor expansion of (pow E (- (/ 1 (pow x 2)) 1.0)) in x 0.781 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 (pow x 2)) 1.0) (log E))) in x 0.781 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) 1.0) (log E)) in x 0.781 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.781 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of 1.0 in x 0.781 * [taylor]: Taking taylor expansion of (log E) in x 0.781 * [taylor]: Taking taylor expansion of E in x 0.782 * [taylor]: Taking taylor expansion of (pow E (- (/ 1 (pow x 2)) 1.0)) in x 0.782 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 (pow x 2)) 1.0) (log E))) in x 0.782 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) 1.0) (log E)) in x 0.782 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of 1.0 in x 0.783 * [taylor]: Taking taylor expansion of (log E) in x 0.783 * [taylor]: Taking taylor expansion of E in x 0.784 * [approximate]: Taking taylor expansion of (pow E (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.784 * [taylor]: Taking taylor expansion of (pow E (- (/ 1 (pow x 2)) 1.0)) in x 0.784 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 (pow x 2)) 1.0) (log E))) in x 0.784 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) 1.0) (log E)) in x 0.784 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.784 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of 1.0 in x 0.784 * [taylor]: Taking taylor expansion of (log E) in x 0.784 * [taylor]: Taking taylor expansion of E in x 0.785 * [taylor]: Taking taylor expansion of (pow E (- (/ 1 (pow x 2)) 1.0)) in x 0.785 * [taylor]: Taking taylor expansion of (exp (* (- (/ 1 (pow x 2)) 1.0) (log E))) in x 0.785 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) 1.0) (log E)) in x 0.785 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.785 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [taylor]: Taking taylor expansion of (log E) in x 0.786 * [taylor]: Taking taylor expansion of E in x 0.787 * * * [progress]: simplifying candidates 0.787 * [simplify]: Simplifying using # : (* 1 (neg (- 1.0 (* x x)))) (* (log E) (neg (- 1.0 (* x x)))) (* (log E) (neg (- 1.0 (* x x)))) (* 1 (neg (- 1.0 (* x x)))) (pow E (- 1.0 (* x x))) (pow E 0) (pow E (- 1.0 (* x x))) (pow E (* (cbrt (neg (- 1.0 (* x x)))) (cbrt (neg (- 1.0 (* x x)))))) (pow E (sqrt (neg (- 1.0 (* x x))))) (pow E 1) (pow E -1) (pow E (neg (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (pow E (neg (sqrt (- 1.0 (* x x))))) (pow E (neg 1)) (pow E (neg (+ (sqrt 1.0) x))) (pow E (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (pow E (sqrt (- 1.0 (* x x)))) (pow E 1) (pow E (+ (sqrt 1.0) x)) (pow E (neg 1.0)) (pow E (neg (neg (* x x)))) (pow E (neg 1.0)) (pow E (neg (neg (* x x)))) (pow (* (cbrt E) (cbrt E)) (neg (- 1.0 (* x x)))) (pow (cbrt E) (neg (- 1.0 (* x x)))) (pow (sqrt E) (neg (- 1.0 (* x x)))) (pow (sqrt E) (neg (- 1.0 (* x x)))) (pow 1 (neg (- 1.0 (* x x)))) (pow E (neg (- 1.0 (* x x)))) (log (pow E (neg (- 1.0 (* x x))))) (exp (pow E (neg (- 1.0 (* x x))))) (* (cbrt (pow E (neg (- 1.0 (* x x))))) (cbrt (pow E (neg (- 1.0 (* x x)))))) (cbrt (pow E (neg (- 1.0 (* x x))))) (* (* (pow E (neg (- 1.0 (* x x)))) (pow E (neg (- 1.0 (* x x))))) (pow E (neg (- 1.0 (* x x))))) (sqrt (pow E (neg (- 1.0 (* x x))))) (sqrt (pow E (neg (- 1.0 (* x x))))) (pow E (/ (neg (- 1.0 (* x x))) 2)) (pow E (/ (neg (- 1.0 (* x x))) 2)) (+ (* 1/2 (* (exp -1.0) (pow x 4))) (+ (exp -1.0) (* (exp -1.0) (pow x 2)))) (exp (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) 0.791 * * [simplify]: iteration 0 : 172 enodes (cost 176 ) 0.794 * * [simplify]: iteration 1 : 592 enodes (cost 166 ) 0.805 * * [simplify]: iteration 2 : 2550 enodes (cost 156 ) 0.867 * * [simplify]: iteration 3 : 5001 enodes (cost 153 ) 0.868 * [simplify]: Simplified to: (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (pow E (- 1.0 (* x x))) 1 (pow E (- 1.0 (* x x))) (pow E (* (cbrt (neg (- 1.0 (* x x)))) (cbrt (neg (- 1.0 (* x x)))))) (pow E (sqrt (neg (- 1.0 (* x x))))) E (pow E -1) (pow E (neg (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x)))))) (pow E (neg (sqrt (- 1.0 (* x x))))) (pow E -1) (pow E (neg (+ (sqrt 1.0) x))) (pow E (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (pow E (sqrt (- 1.0 (* x x)))) E (pow E (+ (sqrt 1.0) x)) (pow E (neg 1.0)) (pow E (neg (neg (* x x)))) (pow E (neg 1.0)) (pow E (neg (neg (* x x)))) (pow (* (cbrt E) (cbrt E)) (- (pow x 2) 1.0)) (pow (cbrt E) (- (pow x 2) 1.0)) (pow E (/ (- (pow x 2) 1.0) 2)) (pow E (/ (- (pow x 2) 1.0) 2)) 1 (exp (- (pow x 2) 1.0)) (- (pow x 2) 1.0) (exp (pow E (neg (- 1.0 (* x x))))) (* (cbrt (pow E (neg (- 1.0 (* x x))))) (cbrt (pow E (neg (- 1.0 (* x x)))))) (cbrt (pow E (neg (- 1.0 (* x x))))) (pow (exp (- (pow x 2) 1.0)) 3) (pow E (/ (- (pow x 2) 1.0) 2)) (pow E (/ (- (pow x 2) 1.0) 2)) (pow E (/ (- (pow x 2) 1.0) 2)) (pow E (/ (- (pow x 2) 1.0) 2)) (* (exp -1.0) (+ (* 1/2 (pow x 4)) (+ (pow x 2) 1))) (exp (- (pow x 2) 1.0)) (exp (- (pow x 2) 1.0)) 0.868 * * * [progress]: adding candidates to table 0.911 * [progress]: [Phase 3 of 3] Extracting. 0.912 * * [regime]: Finding splitpoints for: (# # #) 0.912 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- 1.0 (* x x)) (neg (- 1.0 (* x x))) (exp (neg (- 1.0 (* x x)))) x) 0.912 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.922 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# # #) 0.932 * * * * [regimes]: Trying to branch on (neg (- 1.0 (* x x))) from (# # #) 0.941 * * * * [regimes]: Trying to branch on (exp (neg (- 1.0 (* x x)))) from (# # #) 0.956 * * * * [regimes]: Trying to branch on x from (# # #) 0.967 * * * [regime]: Found split indices: #