8.003 * [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: (exp (- (- 1.0 (* x x)))) 0.021 * [simplify]: Sending expressions to egg_math: (exp (- (- h0 (* h1 h1)))) 0.023 * * [simplify]: iteration 0 : 11 enodes (cost 4 ) 0.024 * * [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 ) 0.046 * * [simplify]: iteration 6 : 3072 enodes (cost 4 ) 0.085 * * [simplify]: iteration 7 : 5003 enodes (cost 4 ) 0.086 * * [progress]: iteration 1 / 4 0.086 * * * [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) 0.114 * * * [progress]: generating series expansions 0.114 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.114 * [backup-simplify]: Simplify (exp (- (- 1.0 (* x x)))) into (exp (- (pow x 2) 1.0)) 0.115 * [approximate]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in (x) around 0 0.115 * [taylor]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in x 0.115 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [backup-simplify]: Simplify 1.0 into 1.0 0.115 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.116 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.116 * [backup-simplify]: Simplify (exp (- 1.0)) into (exp (- 1.0)) 0.116 * [taylor]: Taking taylor expansion of (exp (- (pow x 2) 1.0)) in x 0.116 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) 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 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [backup-simplify]: Simplify 1.0 into 1.0 0.117 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.117 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.118 * [backup-simplify]: Simplify (exp (- 1.0)) into (exp (- 1.0)) 0.118 * [backup-simplify]: Simplify (exp (- 1.0)) into (exp (- 1.0)) 0.119 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (* (exp (- 1.0)) (+ (* (/ (pow 0 1) 1)))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [backup-simplify]: Simplify (* (exp (- 1.0)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp (- 1.0)) 0.123 * [backup-simplify]: Simplify (exp (- 1.0)) into (exp (- 1.0)) 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (* (exp (- 1.0)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (* (exp (- 1.0)) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (exp (- 1.0))) 0.132 * [backup-simplify]: Simplify (* 1/2 (exp (- 1.0))) into (* 1/2 (exp (- 1.0))) 0.134 * [backup-simplify]: Simplify (+ (* (* 1/2 (exp (- 1.0))) (pow x 4)) (+ (* (exp (- 1.0)) (pow x 2)) (exp (- 1.0)))) into (+ (* (pow x 2) (exp (- 1.0))) (+ (exp (- 1.0)) (* 1/2 (* (pow x 4) (exp (- 1.0)))))) 0.134 * [backup-simplify]: Simplify (exp (- (- 1.0 (* (/ 1 x) (/ 1 x))))) into (exp (- (/ 1 (pow x 2)) 1.0)) 0.134 * [approximate]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.134 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [backup-simplify]: Simplify 1.0 into 1.0 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [backup-simplify]: Simplify (exp (- (/ 1 (pow x 2)) 1.0)) into (exp (- (/ 1 (pow x 2)) 1.0)) 0.136 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [backup-simplify]: Simplify 1.0 into 1.0 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [backup-simplify]: Simplify (exp (- (/ 1 (pow x 2)) 1.0)) into (exp (- (/ 1 (pow x 2)) 1.0)) 0.137 * [backup-simplify]: Simplify (exp (- (/ 1 (pow x 2)) 1.0)) into (exp (- (/ 1 (pow x 2)) 1.0)) 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (exp (- (/ 1 (pow (/ 1 x) 2)) 1.0)) into (exp (- (pow x 2) 1.0)) 0.137 * [backup-simplify]: Simplify (exp (- (- 1.0 (* (/ 1 (- x)) (/ 1 (- x)))))) into (exp (- (/ 1 (pow x 2)) 1.0)) 0.137 * [approximate]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.137 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (exp (- (/ 1 (pow x 2)) 1.0)) into (exp (- (/ 1 (pow x 2)) 1.0)) 0.138 * [taylor]: Taking taylor expansion of (exp (- (/ 1 (pow x 2)) 1.0)) in x 0.138 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.139 * [backup-simplify]: Simplify (+ 1 0) into 1 0.139 * [backup-simplify]: Simplify (exp (- (/ 1 (pow x 2)) 1.0)) into (exp (- (/ 1 (pow x 2)) 1.0)) 0.139 * [backup-simplify]: Simplify (exp (- (/ 1 (pow x 2)) 1.0)) into (exp (- (/ 1 (pow x 2)) 1.0)) 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (exp (- (/ 1 (pow (/ 1 (- x)) 2)) 1.0)) into (exp (- (pow x 2) 1.0)) 0.140 * * * [progress]: simplifying candidates 0.140 * [simplify]: Simplifying: (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 (- 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)) 0.140 * [simplify]: Sending expressions to egg_math: (exp (* (cbrt (- (- h0 (* h1 h1)))) (cbrt (- (- h0 (* h1 h1)))))) (exp (sqrt (- (- h0 (* h1 h1))))) (exp 1) (exp -1) (exp (- (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1)))))) (exp (- (sqrt (- h0 (* h1 h1))))) (exp (- 1)) (exp (- (+ (sqrt h0) h1))) (exp (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) (exp (sqrt (- h0 (* h1 h1)))) (exp 1) (exp (+ (sqrt h0) h1)) (exp (- h0)) (exp (- (- (* h1 h1)))) (exp (- h0)) (exp (- (- (* h1 h1)))) (exp (- h0 (* h1 h1))) (exp 0) (exp (- h0 (* h1 h1))) (log (exp (- (- h0 (* h1 h1))))) (exp (exp (- (- h0 (* h1 h1))))) (* (cbrt (exp (- (- h0 (* h1 h1))))) (cbrt (exp (- (- h0 (* h1 h1)))))) (cbrt (exp (- (- h0 (* h1 h1))))) (* (* (exp (- (- h0 (* h1 h1)))) (exp (- (- h0 (* h1 h1))))) (exp (- (- h0 (* h1 h1))))) (sqrt (exp (- (- h0 (* h1 h1))))) (sqrt (exp (- (- h0 (* h1 h1))))) (+ (* (pow h1 2) (exp (- h0))) (+ (exp (- h0)) (* 1/2 (* (pow h1 4) (exp (- h0)))))) (exp (- (pow h1 2) h0)) (exp (- (pow h1 2) h0)) 0.146 * * [simplify]: iteration 0 : 108 enodes (cost 131 ) 0.148 * * [simplify]: iteration 1 : 298 enodes (cost 119 ) 0.154 * * [simplify]: iteration 2 : 1348 enodes (cost 116 ) 0.191 * * [simplify]: iteration 3 : 5001 enodes (cost 114 ) 0.192 * * * [progress]: adding candidates to table 0.239 * * [progress]: iteration 2 / 4 0.239 * * * [progress]: picking best candidate 0.242 * * * * [pick]: Picked # 0.242 * * * [progress]: localizing error 0.248 * * * [progress]: generating rewritten candidates 0.248 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.256 * * * [progress]: generating series expansions 0.256 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.256 * [backup-simplify]: Simplify (pow (exp -1) (- 1.0 (* x x))) into (pow (exp -1) (- 1.0 (pow x 2))) 0.256 * [approximate]: Taking taylor expansion of (pow (exp -1) (- 1.0 (pow x 2))) in (x) around 0 0.256 * [taylor]: Taking taylor expansion of (pow (exp -1) (- 1.0 (pow x 2))) in x 0.256 * [taylor]: Taking taylor expansion of (exp (* (- 1.0 (pow x 2)) (log (exp -1)))) in x 0.256 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow x 2)) (log (exp -1))) in x 0.257 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [backup-simplify]: Simplify 1.0 into 1.0 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (log (exp -1)) in x 0.257 * [taylor]: Taking taylor expansion of (exp -1) in x 0.257 * [taylor]: Taking taylor expansion of -1 in x 0.257 * [backup-simplify]: Simplify -1 into -1 0.257 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.258 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.258 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.258 * [backup-simplify]: Simplify (* 1.0 -1) into -1.0 0.258 * [backup-simplify]: Simplify (exp -1.0) into (exp -1.0) 0.258 * [taylor]: Taking taylor expansion of (pow (exp -1) (- 1.0 (pow x 2))) in x 0.258 * [taylor]: Taking taylor expansion of (exp (* (- 1.0 (pow x 2)) (log (exp -1)))) in x 0.258 * [taylor]: Taking taylor expansion of (* (- 1.0 (pow x 2)) (log (exp -1))) in x 0.258 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (log (exp -1)) in x 0.259 * [taylor]: Taking taylor expansion of (exp -1) in x 0.259 * [taylor]: Taking taylor expansion of -1 in x 0.259 * [backup-simplify]: Simplify -1 into -1 0.259 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.259 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.260 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.260 * [backup-simplify]: Simplify (* 1.0 -1) into -1.0 0.260 * [backup-simplify]: Simplify (exp -1.0) into (exp -1.0) 0.260 * [backup-simplify]: Simplify (exp -1.0) into (exp -1.0) 0.261 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 1) 1)))) into 0 0.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp -1) 1)))) 1) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 -1)) into 0 0.264 * [backup-simplify]: Simplify (* (exp -1.0) (+ (* (/ (pow 0 1) 1)))) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp -1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp -1) 1)))) 2) into 0 0.267 * [backup-simplify]: Simplify (* 1 1) into 1 0.267 * [backup-simplify]: Simplify (- 1) into -1 0.267 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.268 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* -1 -1))) into 1 0.270 * [backup-simplify]: Simplify (* (exp -1.0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp -1.0) 0.270 * [backup-simplify]: Simplify (exp -1.0) into (exp -1.0) 0.271 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.274 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp -1) 1)))) 6) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* -1 0) (* 0 -1)))) into 0 0.277 * [backup-simplify]: Simplify (* (exp -1.0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (* (exp -1) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.285 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp -1) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp -1) 1)))) 24) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 -1))))) into 0 0.290 * [backup-simplify]: Simplify (* (exp -1.0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (exp -1.0)) 0.291 * [backup-simplify]: Simplify (* 1/2 (exp -1.0)) into (* 1/2 (exp -1.0)) 0.293 * [backup-simplify]: Simplify (+ (* (* 1/2 (exp -1.0)) (pow x 4)) (+ (* (exp -1.0) (pow x 2)) (exp -1.0))) into (+ (* 1/2 (* (exp -1.0) (pow x 4))) (+ (exp -1.0) (* (exp -1.0) (pow x 2)))) 0.293 * [backup-simplify]: Simplify (pow (exp -1) (- 1.0 (* (/ 1 x) (/ 1 x)))) into (pow (exp -1) (- 1.0 (/ 1 (pow x 2)))) 0.293 * [approximate]: Taking taylor expansion of (pow (exp -1) (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.293 * [taylor]: Taking taylor expansion of (pow (exp -1) (- 1.0 (/ 1 (pow x 2)))) in x 0.293 * [taylor]: Taking taylor expansion of (exp (* (- 1.0 (/ 1 (pow x 2))) (log (exp -1)))) in x 0.293 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow x 2))) (log (exp -1))) in x 0.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.293 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * [backup-simplify]: Simplify 1.0 into 1.0 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of (log (exp -1)) in x 0.294 * [taylor]: Taking taylor expansion of (exp -1) in x 0.294 * [taylor]: Taking taylor expansion of -1 in x 0.294 * [backup-simplify]: Simplify -1 into -1 0.294 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.294 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.295 * [backup-simplify]: Simplify (- 1) into -1 0.295 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.295 * [backup-simplify]: Simplify (* -1 -1) into 1 0.296 * [backup-simplify]: Simplify (exp (* (- 1.0 (/ 1 (pow x 2))) (log (exp -1)))) into (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.296 * [taylor]: Taking taylor expansion of (pow (exp -1) (- 1.0 (/ 1 (pow x 2)))) in x 0.296 * [taylor]: Taking taylor expansion of (exp (* (- 1.0 (/ 1 (pow x 2))) (log (exp -1)))) in x 0.296 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow x 2))) (log (exp -1))) in x 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [backup-simplify]: Simplify 1.0 into 1.0 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of (log (exp -1)) in x 0.297 * [taylor]: Taking taylor expansion of (exp -1) in x 0.297 * [taylor]: Taking taylor expansion of -1 in x 0.297 * [backup-simplify]: Simplify -1 into -1 0.297 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.297 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.298 * [backup-simplify]: Simplify (- 1) into -1 0.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.298 * [backup-simplify]: Simplify (* -1 -1) into 1 0.299 * [backup-simplify]: Simplify (exp (* (- 1.0 (/ 1 (pow x 2))) (log (exp -1)))) into (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.299 * [backup-simplify]: Simplify (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) into (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (exp (* -1 (- 1.0 (/ 1 (pow (/ 1 x) 2))))) into (exp (* -1 (- 1.0 (pow x 2)))) 0.300 * [backup-simplify]: Simplify (pow (exp -1) (- 1.0 (* (/ 1 (- x)) (/ 1 (- x))))) into (pow (exp -1) (- 1.0 (/ 1 (pow x 2)))) 0.300 * [approximate]: Taking taylor expansion of (pow (exp -1) (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.300 * [taylor]: Taking taylor expansion of (pow (exp -1) (- 1.0 (/ 1 (pow x 2)))) in x 0.300 * [taylor]: Taking taylor expansion of (exp (* (- 1.0 (/ 1 (pow x 2))) (log (exp -1)))) in x 0.300 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow x 2))) (log (exp -1))) in x 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [backup-simplify]: Simplify 1.0 into 1.0 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of (log (exp -1)) in x 0.300 * [taylor]: Taking taylor expansion of (exp -1) in x 0.300 * [taylor]: Taking taylor expansion of -1 in x 0.300 * [backup-simplify]: Simplify -1 into -1 0.301 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.301 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.301 * [backup-simplify]: Simplify (- 1) into -1 0.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.302 * [backup-simplify]: Simplify (* -1 -1) into 1 0.302 * [backup-simplify]: Simplify (exp (* (- 1.0 (/ 1 (pow x 2))) (log (exp -1)))) into (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.302 * [taylor]: Taking taylor expansion of (pow (exp -1) (- 1.0 (/ 1 (pow x 2)))) in x 0.303 * [taylor]: Taking taylor expansion of (exp (* (- 1.0 (/ 1 (pow x 2))) (log (exp -1)))) in x 0.303 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 (pow x 2))) (log (exp -1))) in x 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (log (exp -1)) in x 0.303 * [taylor]: Taking taylor expansion of (exp -1) in x 0.303 * [taylor]: Taking taylor expansion of -1 in x 0.303 * [backup-simplify]: Simplify -1 into -1 0.303 * [backup-simplify]: Simplify (exp -1) into (exp -1) 0.304 * [backup-simplify]: Simplify (log (exp -1)) into -1 0.304 * [backup-simplify]: Simplify (- 1) into -1 0.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.305 * [backup-simplify]: Simplify (* -1 -1) into 1 0.305 * [backup-simplify]: Simplify (exp (* (- 1.0 (/ 1 (pow x 2))) (log (exp -1)))) into (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.305 * [backup-simplify]: Simplify (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) into (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (exp (* -1 (- 1.0 (/ 1 (pow (/ 1 (- x)) 2))))) into (exp (* -1 (- 1.0 (pow x 2)))) 0.306 * * * [progress]: simplifying candidates 0.306 * [simplify]: Simplifying: (* -1 (- 1.0 (* x x))) (* (log (exp -1)) (- 1.0 (* x x))) (* 1 (- 1.0 (* x x))) (* (cbrt -1) (- 1.0 (* x x))) (* (sqrt -1) (- 1.0 (* x x))) (* -1 (- 1.0 (* x x))) (pow (exp -1) 1.0) (pow (exp -1) (* x x)) (pow (exp -1) (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (pow (exp -1) (sqrt (- 1.0 (* x x)))) (pow (exp -1) 1) (pow (exp -1) (+ (sqrt 1.0) x)) (pow (exp -1) 1.0) (pow (exp -1) (- (* x x))) (pow (exp -1) 1.0) (pow (exp -1) (- (* x x))) (pow (* (cbrt (exp -1)) (cbrt (exp -1))) (- 1.0 (* x x))) (pow (cbrt (exp -1)) (- 1.0 (* x x))) (pow (sqrt (exp -1)) (- 1.0 (* x x))) (pow (sqrt (exp -1)) (- 1.0 (* x x))) (pow 1 (- 1.0 (* x x))) (pow (exp -1) (- 1.0 (* x x))) (log (pow (exp -1) (- 1.0 (* x x)))) (exp (pow (exp -1) (- 1.0 (* x x)))) (* (cbrt (pow (exp -1) (- 1.0 (* x x)))) (cbrt (pow (exp -1) (- 1.0 (* x x))))) (cbrt (pow (exp -1) (- 1.0 (* x x)))) (* (* (pow (exp -1) (- 1.0 (* x x))) (pow (exp -1) (- 1.0 (* x x)))) (pow (exp -1) (- 1.0 (* x x)))) (sqrt (pow (exp -1) (- 1.0 (* x x)))) (sqrt (pow (exp -1) (- 1.0 (* x x)))) (pow (exp -1) (/ (- 1.0 (* x x)) 2)) (pow (exp -1) (/ (- 1.0 (* x x)) 2)) (+ (* 1/2 (* (exp -1.0) (pow x 4))) (+ (exp -1.0) (* (exp -1.0) (pow x 2)))) (exp (* -1 (- 1.0 (pow x 2)))) (exp (* -1 (- 1.0 (pow x 2)))) 0.306 * [simplify]: Sending expressions to egg_math: (* -1 (- h0 (* h1 h1))) (* (log (exp -1)) (- h0 (* h1 h1))) (* 1 (- h0 (* h1 h1))) (* (cbrt -1) (- h0 (* h1 h1))) (* (sqrt -1) (- h0 (* h1 h1))) (* -1 (- h0 (* h1 h1))) (pow (exp -1) h0) (pow (exp -1) (* h1 h1)) (pow (exp -1) (* (cbrt (- h0 (* h1 h1))) (cbrt (- h0 (* h1 h1))))) (pow (exp -1) (sqrt (- h0 (* h1 h1)))) (pow (exp -1) 1) (pow (exp -1) (+ (sqrt h0) h1)) (pow (exp -1) h0) (pow (exp -1) (- (* h1 h1))) (pow (exp -1) h0) (pow (exp -1) (- (* h1 h1))) (pow (* (cbrt (exp -1)) (cbrt (exp -1))) (- h0 (* h1 h1))) (pow (cbrt (exp -1)) (- h0 (* h1 h1))) (pow (sqrt (exp -1)) (- h0 (* h1 h1))) (pow (sqrt (exp -1)) (- h0 (* h1 h1))) (pow 1 (- h0 (* h1 h1))) (pow (exp -1) (- h0 (* h1 h1))) (log (pow (exp -1) (- h0 (* h1 h1)))) (exp (pow (exp -1) (- h0 (* h1 h1)))) (* (cbrt (pow (exp -1) (- h0 (* h1 h1)))) (cbrt (pow (exp -1) (- h0 (* h1 h1))))) (cbrt (pow (exp -1) (- h0 (* h1 h1)))) (* (* (pow (exp -1) (- h0 (* h1 h1))) (pow (exp -1) (- h0 (* h1 h1)))) (pow (exp -1) (- h0 (* h1 h1)))) (sqrt (pow (exp -1) (- h0 (* h1 h1)))) (sqrt (pow (exp -1) (- h0 (* h1 h1)))) (pow (exp -1) (/ (- h0 (* h1 h1)) 2)) (pow (exp -1) (/ (- h0 (* h1 h1)) 2)) (+ (* 1/2 (* (exp h2) (pow h1 4))) (+ (exp h2) (* (exp h2) (pow h1 2)))) (exp (* -1 (- h0 (pow h1 2)))) (exp (* -1 (- h0 (pow h1 2)))) 0.309 * * [simplify]: iteration 0 : 130 enodes (cost 154 ) 0.312 * * [simplify]: iteration 1 : 456 enodes (cost 149 ) 0.321 * * [simplify]: iteration 2 : 2017 enodes (cost 146 ) 0.371 * * [simplify]: iteration 3 : 5002 enodes (cost 142 ) 0.372 * * * [progress]: adding candidates to table 0.427 * * [progress]: iteration 3 / 4 0.427 * * * [progress]: picking best candidate 0.428 * * * * [pick]: Picked # 0.428 * * * [progress]: localizing error 0.436 * * * [progress]: generating rewritten candidates 0.436 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.443 * * * [progress]: generating series expansions 0.443 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.443 * [backup-simplify]: Simplify (pow (exp 1) (* -1 (- 1.0 (* x x)))) into (pow E (* -1 (- 1.0 (pow x 2)))) 0.443 * [approximate]: Taking taylor expansion of (pow E (* -1 (- 1.0 (pow x 2)))) in (x) around 0 0.443 * [taylor]: Taking taylor expansion of (pow E (* -1 (- 1.0 (pow x 2)))) in x 0.443 * [taylor]: Taking taylor expansion of (exp (* (* -1 (- 1.0 (pow x 2))) (log E))) in x 0.443 * [taylor]: Taking taylor expansion of (* (* -1 (- 1.0 (pow x 2))) (log E)) in x 0.443 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (pow x 2))) in x 0.443 * [taylor]: Taking taylor expansion of -1 in x 0.443 * [backup-simplify]: Simplify -1 into -1 0.443 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [backup-simplify]: Simplify 1.0 into 1.0 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [taylor]: Taking taylor expansion of (log E) in x 0.444 * [taylor]: Taking taylor expansion of E in x 0.444 * [backup-simplify]: Simplify E into E 0.444 * [backup-simplify]: Simplify (log E) into 1 0.444 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.444 * [backup-simplify]: Simplify (* -1 1.0) into -1.0 0.445 * [backup-simplify]: Simplify (* -1.0 1) into -1.0 0.445 * [backup-simplify]: Simplify (exp -1.0) into (exp -1.0) 0.445 * [taylor]: Taking taylor expansion of (pow E (* -1 (- 1.0 (pow x 2)))) in x 0.445 * [taylor]: Taking taylor expansion of (exp (* (* -1 (- 1.0 (pow x 2))) (log E))) in x 0.445 * [taylor]: Taking taylor expansion of (* (* -1 (- 1.0 (pow x 2))) (log E)) in x 0.445 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (pow x 2))) in x 0.445 * [taylor]: Taking taylor expansion of -1 in x 0.445 * [backup-simplify]: Simplify -1 into -1 0.445 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [backup-simplify]: Simplify 1.0 into 1.0 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.445 * [taylor]: Taking taylor expansion of (log E) in x 0.445 * [taylor]: Taking taylor expansion of E in x 0.445 * [backup-simplify]: Simplify E into E 0.445 * [backup-simplify]: Simplify (log E) into 1 0.445 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.446 * [backup-simplify]: Simplify (* -1 1.0) into -1.0 0.446 * [backup-simplify]: Simplify (* -1.0 1) into -1.0 0.446 * [backup-simplify]: Simplify (exp -1.0) into (exp -1.0) 0.446 * [backup-simplify]: Simplify (exp -1.0) into (exp -1.0) 0.447 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1.0)) into 0 0.448 * [backup-simplify]: Simplify (+ (* -1.0 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify (* (exp -1.0) (+ (* (/ (pow 0 1) 1)))) into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0 0.451 * [backup-simplify]: Simplify (* 1 1) into 1 0.451 * [backup-simplify]: Simplify (- 1) into -1 0.451 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.452 * [backup-simplify]: Simplify (+ (* -1 -1) (+ (* 0 0) (* 0 1.0))) into 1 0.452 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (* 1 1))) into 1 0.454 * [backup-simplify]: Simplify (* (exp -1.0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into (exp -1.0) 0.454 * [backup-simplify]: Simplify (exp -1.0) into (exp -1.0) 0.457 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow E 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow E 1)))) 6) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1.0)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 1 0) (* 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (* (exp -1.0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow E 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow E 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow E 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow E 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow E 1)))) 24) into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1.0))))) into 0 0.469 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1))))) into 0 0.473 * [backup-simplify]: Simplify (* (exp -1.0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (exp -1.0)) 0.474 * [backup-simplify]: Simplify (* 1/2 (exp -1.0)) into (* 1/2 (exp -1.0)) 0.475 * [backup-simplify]: Simplify (+ (* (* 1/2 (exp -1.0)) (pow x 4)) (+ (* (exp -1.0) (pow x 2)) (exp -1.0))) into (+ (* 1/2 (* (exp -1.0) (pow x 4))) (+ (exp -1.0) (* (exp -1.0) (pow x 2)))) 0.475 * [backup-simplify]: Simplify (pow (exp 1) (* -1 (- 1.0 (* (/ 1 x) (/ 1 x))))) into (pow E (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.475 * [approximate]: Taking taylor expansion of (pow E (* -1 (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.475 * [taylor]: Taking taylor expansion of (pow E (* -1 (- 1.0 (/ 1 (pow x 2))))) in x 0.475 * [taylor]: Taking taylor expansion of (exp (* (* -1 (- 1.0 (/ 1 (pow x 2)))) (log E))) in x 0.475 * [taylor]: Taking taylor expansion of (* (* -1 (- 1.0 (/ 1 (pow x 2)))) (log E)) in x 0.475 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (/ 1 (pow x 2)))) in x 0.475 * [taylor]: Taking taylor expansion of -1 in x 0.475 * [backup-simplify]: Simplify -1 into -1 0.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [backup-simplify]: Simplify 1.0 into 1.0 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of (log E) in x 0.476 * [taylor]: Taking taylor expansion of E in x 0.476 * [backup-simplify]: Simplify E into E 0.476 * [backup-simplify]: Simplify (log E) into 1 0.476 * [backup-simplify]: Simplify (- 1) into -1 0.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.477 * [backup-simplify]: Simplify (* -1 -1) into 1 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (exp (* (* -1 (- 1.0 (/ 1 (pow x 2)))) (log E))) into (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.477 * [taylor]: Taking taylor expansion of (pow E (* -1 (- 1.0 (/ 1 (pow x 2))))) in x 0.477 * [taylor]: Taking taylor expansion of (exp (* (* -1 (- 1.0 (/ 1 (pow x 2)))) (log E))) in x 0.477 * [taylor]: Taking taylor expansion of (* (* -1 (- 1.0 (/ 1 (pow x 2)))) (log E)) in x 0.477 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (/ 1 (pow x 2)))) in x 0.477 * [taylor]: Taking taylor expansion of -1 in x 0.477 * [backup-simplify]: Simplify -1 into -1 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [backup-simplify]: Simplify 1.0 into 1.0 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (* 1 1) into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [taylor]: Taking taylor expansion of (log E) in x 0.478 * [taylor]: Taking taylor expansion of E in x 0.478 * [backup-simplify]: Simplify E into E 0.478 * [backup-simplify]: Simplify (log E) into 1 0.478 * [backup-simplify]: Simplify (- 1) into -1 0.478 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.479 * [backup-simplify]: Simplify (* -1 -1) into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (exp (* (* -1 (- 1.0 (/ 1 (pow x 2)))) (log E))) into (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.479 * [backup-simplify]: Simplify (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) into (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (exp (* -1 (- 1.0 (/ 1 (pow (/ 1 x) 2))))) into (exp (* -1 (- 1.0 (pow x 2)))) 0.480 * [backup-simplify]: Simplify (pow (exp 1) (* -1 (- 1.0 (* (/ 1 (- x)) (/ 1 (- x)))))) into (pow E (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.480 * [approximate]: Taking taylor expansion of (pow E (* -1 (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.480 * [taylor]: Taking taylor expansion of (pow E (* -1 (- 1.0 (/ 1 (pow x 2))))) in x 0.480 * [taylor]: Taking taylor expansion of (exp (* (* -1 (- 1.0 (/ 1 (pow x 2)))) (log E))) in x 0.480 * [taylor]: Taking taylor expansion of (* (* -1 (- 1.0 (/ 1 (pow x 2)))) (log E)) in x 0.480 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (/ 1 (pow x 2)))) in x 0.480 * [taylor]: Taking taylor expansion of -1 in x 0.480 * [backup-simplify]: Simplify -1 into -1 0.480 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [backup-simplify]: Simplify 1.0 into 1.0 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (* 1 1) into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [taylor]: Taking taylor expansion of (log E) in x 0.480 * [taylor]: Taking taylor expansion of E in x 0.480 * [backup-simplify]: Simplify E into E 0.480 * [backup-simplify]: Simplify (log E) into 1 0.481 * [backup-simplify]: Simplify (- 1) into -1 0.481 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.481 * [backup-simplify]: Simplify (* -1 -1) into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (exp (* (* -1 (- 1.0 (/ 1 (pow x 2)))) (log E))) into (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.482 * [taylor]: Taking taylor expansion of (pow E (* -1 (- 1.0 (/ 1 (pow x 2))))) in x 0.482 * [taylor]: Taking taylor expansion of (exp (* (* -1 (- 1.0 (/ 1 (pow x 2)))) (log E))) in x 0.482 * [taylor]: Taking taylor expansion of (* (* -1 (- 1.0 (/ 1 (pow x 2)))) (log E)) in x 0.482 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (/ 1 (pow x 2)))) in x 0.482 * [taylor]: Taking taylor expansion of -1 in x 0.482 * [backup-simplify]: Simplify -1 into -1 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [backup-simplify]: Simplify 1.0 into 1.0 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [taylor]: Taking taylor expansion of (log E) in x 0.482 * [taylor]: Taking taylor expansion of E in x 0.483 * [backup-simplify]: Simplify E into E 0.483 * [backup-simplify]: Simplify (log E) into 1 0.483 * [backup-simplify]: Simplify (- 1) into -1 0.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.483 * [backup-simplify]: Simplify (* -1 -1) into 1 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (exp (* (* -1 (- 1.0 (/ 1 (pow x 2)))) (log E))) into (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.484 * [backup-simplify]: Simplify (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) into (exp (* -1 (- 1.0 (/ 1 (pow x 2))))) 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (exp (* -1 (- 1.0 (/ 1 (pow (/ 1 (- x)) 2))))) into (exp (* -1 (- 1.0 (pow x 2)))) 0.484 * * * [progress]: simplifying candidates 0.485 * [simplify]: Simplifying: (* 1 (* -1 (- 1.0 (* x x)))) (* (log (exp 1)) (* -1 (- 1.0 (* x x)))) (* 1 (* -1 (- 1.0 (* x x)))) (* (cbrt 1) (* -1 (- 1.0 (* x x)))) (* (sqrt 1) (* -1 (- 1.0 (* x x)))) (* 1 (* -1 (- 1.0 (* x x)))) (pow (exp 1) (- 1.0 (* x x))) (pow (exp 1) -1) (pow (exp 1) (* -1 1.0)) (pow (exp 1) (* -1 (- (* x x)))) (pow (exp 1) (* -1 1.0)) (pow (exp 1) (* -1 (- (* x x)))) (pow (exp 1) (* 1.0 -1)) (pow (exp 1) (* (- (* x x)) -1)) (pow (exp 1) (* 1.0 -1)) (pow (exp 1) (* (- (* x x)) -1)) (pow (* (cbrt (exp 1)) (cbrt (exp 1))) (* -1 (- 1.0 (* x x)))) (pow (cbrt (exp 1)) (* -1 (- 1.0 (* x x)))) (pow (sqrt (exp 1)) (* -1 (- 1.0 (* x x)))) (pow (sqrt (exp 1)) (* -1 (- 1.0 (* x x)))) (pow 1 (* -1 (- 1.0 (* x x)))) (pow (exp 1) (* -1 (- 1.0 (* x x)))) (log (pow (exp 1) (* -1 (- 1.0 (* x x))))) (exp (pow (exp 1) (* -1 (- 1.0 (* x x))))) (* (cbrt (pow (exp 1) (* -1 (- 1.0 (* x x))))) (cbrt (pow (exp 1) (* -1 (- 1.0 (* x x)))))) (cbrt (pow (exp 1) (* -1 (- 1.0 (* x x))))) (* (* (pow (exp 1) (* -1 (- 1.0 (* x x)))) (pow (exp 1) (* -1 (- 1.0 (* x x))))) (pow (exp 1) (* -1 (- 1.0 (* x x))))) (sqrt (pow (exp 1) (* -1 (- 1.0 (* x x))))) (sqrt (pow (exp 1) (* -1 (- 1.0 (* x x))))) (pow (exp 1) (/ (* -1 (- 1.0 (* x x))) 2)) (pow (exp 1) (/ (* -1 (- 1.0 (* x x))) 2)) (+ (* 1/2 (* (exp -1.0) (pow x 4))) (+ (exp -1.0) (* (exp -1.0) (pow x 2)))) (exp (* -1 (- 1.0 (pow x 2)))) (exp (* -1 (- 1.0 (pow x 2)))) 0.485 * [simplify]: Sending expressions to egg_math: (* 1 (* -1 (- h0 (* h1 h1)))) (* (log (exp 1)) (* -1 (- h0 (* h1 h1)))) (* 1 (* -1 (- h0 (* h1 h1)))) (* (cbrt 1) (* -1 (- h0 (* h1 h1)))) (* (sqrt 1) (* -1 (- h0 (* h1 h1)))) (* 1 (* -1 (- h0 (* h1 h1)))) (pow (exp 1) (- h0 (* h1 h1))) (pow (exp 1) -1) (pow (exp 1) (* -1 h0)) (pow (exp 1) (* -1 (- (* h1 h1)))) (pow (exp 1) (* -1 h0)) (pow (exp 1) (* -1 (- (* h1 h1)))) (pow (exp 1) (* h0 -1)) (pow (exp 1) (* (- (* h1 h1)) -1)) (pow (exp 1) (* h0 -1)) (pow (exp 1) (* (- (* h1 h1)) -1)) (pow (* (cbrt (exp 1)) (cbrt (exp 1))) (* -1 (- h0 (* h1 h1)))) (pow (cbrt (exp 1)) (* -1 (- h0 (* h1 h1)))) (pow (sqrt (exp 1)) (* -1 (- h0 (* h1 h1)))) (pow (sqrt (exp 1)) (* -1 (- h0 (* h1 h1)))) (pow 1 (* -1 (- h0 (* h1 h1)))) (pow (exp 1) (* -1 (- h0 (* h1 h1)))) (log (pow (exp 1) (* -1 (- h0 (* h1 h1))))) (exp (pow (exp 1) (* -1 (- h0 (* h1 h1))))) (* (cbrt (pow (exp 1) (* -1 (- h0 (* h1 h1))))) (cbrt (pow (exp 1) (* -1 (- h0 (* h1 h1)))))) (cbrt (pow (exp 1) (* -1 (- h0 (* h1 h1))))) (* (* (pow (exp 1) (* -1 (- h0 (* h1 h1)))) (pow (exp 1) (* -1 (- h0 (* h1 h1))))) (pow (exp 1) (* -1 (- h0 (* h1 h1))))) (sqrt (pow (exp 1) (* -1 (- h0 (* h1 h1))))) (sqrt (pow (exp 1) (* -1 (- h0 (* h1 h1))))) (pow (exp 1) (/ (* -1 (- h0 (* h1 h1))) 2)) (pow (exp 1) (/ (* -1 (- h0 (* h1 h1))) 2)) (+ (* 1/2 (* (exp h2) (pow h1 4))) (+ (exp h2) (* (exp h2) (pow h1 2)))) (exp (* -1 (- h0 (pow h1 2)))) (exp (* -1 (- h0 (pow h1 2)))) 0.488 * * [simplify]: iteration 0 : 142 enodes (cost 173 ) 0.491 * * [simplify]: iteration 1 : 508 enodes (cost 161 ) 0.503 * * [simplify]: iteration 2 : 2683 enodes (cost 158 ) 0.571 * * [simplify]: iteration 3 : 5001 enodes (cost 129 ) 0.572 * * * [progress]: adding candidates to table 0.610 * [progress]: [Phase 3 of 3] Extracting. 0.610 * * [regime]: Finding splitpoints for: (# #) 0.611 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) (- 1.0 (* x x)) x) 0.611 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.619 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 0.629 * * * * [regimes]: Trying to branch on x from (# #) 0.639 * * * [regime]: Found split indices: #