6.156 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (- (* a a) (* b b)) 0.021 * [simplify]: Sending expressions to egg_math: (- (* h0 h0) (* h1 h1)) 0.023 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 32 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 58 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 207 enodes (cost 3 ) 0.034 * * [simplify]: iteration 6 : 393 enodes (cost 3 ) 0.043 * * [simplify]: iteration 7 : 1794 enodes (cost 3 ) 0.096 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.097 * * [progress]: iteration 1 / 4 0.097 * * * [progress]: picking best candidate 0.098 * * * * [pick]: Picked # 0.098 * * * [progress]: localizing error 0.103 * * * [progress]: generating rewritten candidates 0.103 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.111 * * * [progress]: generating series expansions 0.111 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.111 * [backup-simplify]: Simplify (- (* a a) (* b b)) into (- (pow a 2) (pow b 2)) 0.111 * [approximate]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in (a b) around 0 0.111 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in b 0.111 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.111 * [taylor]: Taking taylor expansion of a in b 0.111 * [backup-simplify]: Simplify a into a 0.111 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.111 * [taylor]: Taking taylor expansion of b in b 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.111 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.111 * [taylor]: Taking taylor expansion of a in a 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.111 * [taylor]: Taking taylor expansion of b in a 0.111 * [backup-simplify]: Simplify b into b 0.111 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.111 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.111 * [taylor]: Taking taylor expansion of a in a 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.112 * [taylor]: Taking taylor expansion of b in a 0.112 * [backup-simplify]: Simplify b into b 0.112 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.112 * [backup-simplify]: Simplify (- (pow b 2)) into (- (pow b 2)) 0.112 * [backup-simplify]: Simplify (+ 0 (- (pow b 2))) into (- (pow b 2)) 0.112 * [taylor]: Taking taylor expansion of (- (pow b 2)) in b 0.112 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.112 * [taylor]: Taking taylor expansion of b in b 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [taylor]: Taking taylor expansion of 0 in b 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [taylor]: Taking taylor expansion of 1 in b 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (- 1) into -1 0.114 * [backup-simplify]: Simplify -1 into -1 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in b 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.117 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [taylor]: Taking taylor expansion of 0 in b 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* -1 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2))) into (- (pow a 2) (pow b 2)) 0.118 * [backup-simplify]: Simplify (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) into (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) 0.118 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.118 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.118 * [taylor]: Taking taylor expansion of a in b 0.118 * [backup-simplify]: Simplify a into a 0.118 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.118 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.118 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.118 * [taylor]: Taking taylor expansion of b in b 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.119 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.119 * [taylor]: Taking taylor expansion of a in a 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.120 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.120 * [taylor]: Taking taylor expansion of b in a 0.120 * [backup-simplify]: Simplify b into b 0.120 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.120 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.120 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.120 * [taylor]: Taking taylor expansion of a in a 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.120 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.120 * [taylor]: Taking taylor expansion of b in a 0.120 * [backup-simplify]: Simplify b into b 0.120 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.120 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [taylor]: Taking taylor expansion of 1 in b 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in b 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- (/ 1 (pow b 2))) into (- (/ 1 (pow b 2))) 0.123 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow b 2)))) into (- (/ 1 (pow b 2))) 0.123 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.123 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.123 * [taylor]: Taking taylor expansion of b in b 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.123 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (- 1) into -1 0.124 * [backup-simplify]: Simplify -1 into -1 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in b 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 0.128 * [backup-simplify]: Simplify (- 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in b 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (* -1 (pow (* (/ 1 (/ 1 b)) 1) 2))) into (- (pow a 2) (pow b 2)) 0.130 * [backup-simplify]: Simplify (- (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) into (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) 0.130 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.130 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.130 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.130 * [taylor]: Taking taylor expansion of a in b 0.130 * [backup-simplify]: Simplify a into a 0.130 * [backup-simplify]: Simplify (* a a) into (pow a 2) 0.130 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.131 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.131 * [taylor]: Taking taylor expansion of b in b 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.131 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.131 * [taylor]: Taking taylor expansion of a in a 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.132 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.132 * [taylor]: Taking taylor expansion of b in a 0.132 * [backup-simplify]: Simplify b into b 0.132 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.132 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.132 * [taylor]: Taking taylor expansion of a in a 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.132 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.132 * [taylor]: Taking taylor expansion of b in a 0.132 * [backup-simplify]: Simplify b into b 0.132 * [backup-simplify]: Simplify (* b b) into (pow b 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [taylor]: Taking taylor expansion of 1 in b 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in b 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (/ 1 (pow b 2))) into (- (/ 1 (pow b 2))) 0.135 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow b 2)))) into (- (/ 1 (pow b 2))) 0.135 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.135 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.135 * [taylor]: Taking taylor expansion of b in b 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (- 1) into -1 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [taylor]: Taking taylor expansion of 0 in b 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- 0) into 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 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in b 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- b))) 1) 2))) into (- (pow a 2) (pow b 2)) 0.142 * * * [progress]: simplifying candidates 0.143 * [simplify]: Simplifying: (/ (exp (* a a)) (exp (* b b))) (log (- (* a a) (* b b))) (exp (- (* a a) (* b b))) (* (cbrt (- (* a a) (* b b))) (cbrt (- (* a a) (* b b)))) (cbrt (- (* a a) (* b b))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* a a) (* b b))) (sqrt (- (* a a) (* b b))) (sqrt (- (* a a) (* b b))) (- (pow (* a a) 3) (pow (* b b) 3)) (+ (* (* a a) (* a a)) (+ (* (* b b) (* b b)) (* (* a a) (* b b)))) (- (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b)) (+ a b) (- a b) (- (* b b)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) 0.143 * [simplify]: Sending expressions to egg_math: (/ (exp (* h0 h0)) (exp (* h1 h1))) (log (- (* h0 h0) (* h1 h1))) (exp (- (* h0 h0) (* h1 h1))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ (* h0 h0) (* h1 h1)) (+ h0 h1) (- h0 h1) (- (* h1 h1)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.145 * * [simplify]: iteration 0 : 93 enodes (cost 83 ) 0.148 * * [simplify]: iteration 1 : 375 enodes (cost 72 ) 0.154 * * [simplify]: iteration 2 : 1243 enodes (cost 72 ) 0.179 * * [simplify]: iteration 3 : 5001 enodes (cost 72 ) 0.179 * * * [progress]: adding candidates to table 0.205 * * [progress]: iteration 2 / 4 0.205 * * * [progress]: picking best candidate 0.206 * * * * [pick]: Picked # 0.206 * * * [progress]: localizing error 0.211 * * * [progress]: generating rewritten candidates 0.211 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.248 * * * [progress]: generating series expansions 0.248 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.248 * [backup-simplify]: Simplify (* (+ a b) (- a b)) into (* (- a b) (+ a b)) 0.248 * [approximate]: Taking taylor expansion of (* (- a b) (+ a b)) in (a b) around 0 0.248 * [taylor]: Taking taylor expansion of (* (- a b) (+ a b)) in b 0.248 * [taylor]: Taking taylor expansion of (- a b) in b 0.248 * [taylor]: Taking taylor expansion of a in b 0.248 * [backup-simplify]: Simplify a into a 0.248 * [taylor]: Taking taylor expansion of b in b 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of (+ a b) in b 0.248 * [taylor]: Taking taylor expansion of a in b 0.248 * [backup-simplify]: Simplify a into a 0.248 * [taylor]: Taking taylor expansion of b in b 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of (* (- a b) (+ a b)) in a 0.248 * [taylor]: Taking taylor expansion of (- a b) in a 0.248 * [taylor]: Taking taylor expansion of a in a 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of b in a 0.248 * [backup-simplify]: Simplify b into b 0.248 * [taylor]: Taking taylor expansion of (+ a b) in a 0.248 * [taylor]: Taking taylor expansion of a in a 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of b in a 0.248 * [backup-simplify]: Simplify b into b 0.248 * [taylor]: Taking taylor expansion of (* (- a b) (+ a b)) in a 0.248 * [taylor]: Taking taylor expansion of (- a b) in a 0.248 * [taylor]: Taking taylor expansion of a in a 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of b in a 0.248 * [backup-simplify]: Simplify b into b 0.248 * [taylor]: Taking taylor expansion of (+ a b) in a 0.249 * [taylor]: Taking taylor expansion of a in a 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of b in a 0.249 * [backup-simplify]: Simplify b into b 0.249 * [backup-simplify]: Simplify (- b) into (- b) 0.249 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 0.249 * [backup-simplify]: Simplify (+ 0 b) into b 0.249 * [backup-simplify]: Simplify (* (- b) b) into (* -1 (pow b 2)) 0.249 * [taylor]: Taking taylor expansion of (* -1 (pow b 2)) in b 0.249 * [taylor]: Taking taylor expansion of -1 in b 0.249 * [backup-simplify]: Simplify -1 into -1 0.249 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.249 * [taylor]: Taking taylor expansion of b in b 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (+ (* (- b) 1) (* 1 b)) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in b 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 1) (* 0 b))) into 1 0.251 * [taylor]: Taking taylor expansion of 1 in b 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (* 1 1) into 1 0.252 * [backup-simplify]: Simplify (* -1 1) into -1 0.252 * [backup-simplify]: Simplify -1 into -1 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 0.253 * [taylor]: Taking taylor expansion of 0 in b 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 b))))) into 0 0.255 * [taylor]: Taking taylor expansion of 0 in b 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (+ (* -1 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2))) into (- (pow a 2) (pow b 2)) 0.256 * [backup-simplify]: Simplify (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) into (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) 0.256 * [approximate]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in (a b) around 0 0.256 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in b 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 0.256 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.256 * [taylor]: Taking taylor expansion of a in b 0.256 * [backup-simplify]: Simplify a into a 0.256 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.256 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.256 * [taylor]: Taking taylor expansion of b in b 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.256 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.256 * [taylor]: Taking taylor expansion of b in b 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.257 * [taylor]: Taking taylor expansion of a in b 0.257 * [backup-simplify]: Simplify a into a 0.257 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.257 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.257 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.257 * [taylor]: Taking taylor expansion of a in a 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.257 * [taylor]: Taking taylor expansion of b in a 0.257 * [backup-simplify]: Simplify b into b 0.257 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.257 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.257 * [taylor]: Taking taylor expansion of b in a 0.257 * [backup-simplify]: Simplify b into b 0.257 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.257 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.257 * [taylor]: Taking taylor expansion of a in a 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 0.258 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.258 * [taylor]: Taking taylor expansion of a in a 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.258 * [taylor]: Taking taylor expansion of b in a 0.258 * [backup-simplify]: Simplify b into b 0.258 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.258 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.258 * [taylor]: Taking taylor expansion of b in a 0.258 * [backup-simplify]: Simplify b into b 0.258 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.258 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.258 * [taylor]: Taking taylor expansion of a in a 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (+ 0 1) into 1 0.259 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [taylor]: Taking taylor expansion of 1 in b 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 0.260 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 0.260 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (- (/ 1 b)) 1)) into 0 0.260 * [taylor]: Taking taylor expansion of 0 in b 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) (/ 1 b)) (* 0 1))) into (- (/ 1 (pow b 2))) 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.263 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.263 * [taylor]: Taking taylor expansion of b in b 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (- 1) into -1 0.263 * [backup-simplify]: Simplify -1 into -1 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (+ (* 0 (/ 1 b)) (* 0 1)))) into 0 0.266 * [taylor]: Taking taylor expansion of 0 in b 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 (/ 1 b)) (* 0 1))))) into 0 0.270 * [taylor]: Taking taylor expansion of 0 in b 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (* -1 (pow (* (/ 1 (/ 1 b)) 1) 2))) into (- (pow a 2) (pow b 2)) 0.271 * [backup-simplify]: Simplify (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) 0.271 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 0.272 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 0.272 * [taylor]: Taking taylor expansion of -1 in b 0.272 * [backup-simplify]: Simplify -1 into -1 0.272 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 0.272 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.272 * [taylor]: Taking taylor expansion of b in b 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.272 * [taylor]: Taking taylor expansion of a in b 0.272 * [backup-simplify]: Simplify a into a 0.272 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 0.272 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.272 * [taylor]: Taking taylor expansion of b in b 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.272 * [taylor]: Taking taylor expansion of a in b 0.272 * [backup-simplify]: Simplify a into a 0.272 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 0.272 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 0.272 * [taylor]: Taking taylor expansion of -1 in a 0.272 * [backup-simplify]: Simplify -1 into -1 0.272 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.272 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.273 * [taylor]: Taking taylor expansion of b in a 0.273 * [backup-simplify]: Simplify b into b 0.273 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.273 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.273 * [taylor]: Taking taylor expansion of a in a 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.273 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.273 * [taylor]: Taking taylor expansion of b in a 0.273 * [backup-simplify]: Simplify b into b 0.273 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.273 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.273 * [taylor]: Taking taylor expansion of a in a 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 0.273 * [taylor]: Taking taylor expansion of -1 in a 0.273 * [backup-simplify]: Simplify -1 into -1 0.273 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 0.273 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.273 * [taylor]: Taking taylor expansion of b in a 0.273 * [backup-simplify]: Simplify b into b 0.273 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.273 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.273 * [taylor]: Taking taylor expansion of a in a 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 0.274 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.274 * [taylor]: Taking taylor expansion of b in a 0.274 * [backup-simplify]: Simplify b into b 0.274 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 0.274 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.274 * [taylor]: Taking taylor expansion of a in a 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (- 1) into -1 0.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.275 * [backup-simplify]: Simplify (+ 0 1) into 1 0.275 * [backup-simplify]: Simplify (* -1 1) into -1 0.275 * [backup-simplify]: Simplify (* -1 -1) into 1 0.275 * [taylor]: Taking taylor expansion of 1 in b 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 0.277 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 0.277 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.277 * [taylor]: Taking taylor expansion of 0 in b 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 0.280 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow b 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow b 2))) 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.280 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.280 * [taylor]: Taking taylor expansion of b in b 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [backup-simplify]: Simplify (- 1) into -1 0.281 * [backup-simplify]: Simplify -1 into -1 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (+ (* 0 (/ 1 b)) (* 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* 0 0) (* 0 -1)))) into 0 0.284 * [taylor]: Taking taylor expansion of 0 in b 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 (/ 1 b)) (* 0 1))))) into 0 0.288 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* 0 0) (* 0 -1))))) into 0 0.288 * [taylor]: Taking taylor expansion of 0 in b 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- b))) 1) 2))) into (- (pow a 2) (pow b 2)) 0.290 * * * [progress]: simplifying candidates 0.290 * [simplify]: Simplifying: (* (+ a b) (- a b)) (+ (log (+ a b)) (log (- a b))) (log (* (+ a b) (- a b))) (exp (* (+ a b) (- a b))) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (- a b) (- a b)) (- a b))) (* (cbrt (* (+ a b) (- a b))) (cbrt (* (+ a b) (- a b)))) (cbrt (* (+ a b) (- a b))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (+ a b) (- a b))) (sqrt (* (+ a b) (- a b))) (sqrt (* (+ a b) (- a b))) (* (+ (pow a 3) (pow b 3)) (- (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (+ (* b b) (* a b)))) (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (+ (* a a) (- (* b b) (* a b))) (+ a b)) (* (- (* a a) (* b b)) (- (pow a 3) (pow b 3))) (* (- a b) (+ (* a a) (+ (* b b) (* a b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (+ a b)) (* (sqrt (+ a b)) (sqrt (- a b))) (* (sqrt (+ a b)) (sqrt (- a b))) (* (+ a b) a) (* (+ a b) (- b)) (* (+ a b) a) (* (+ a b) (- b)) (* a (+ a b)) (* (- b) (+ a b)) (* a (+ a b)) (* (- b) (+ a b)) (* (+ a b) (* (cbrt (- a b)) (cbrt (- a b)))) (* (+ a b) (sqrt (- a b))) (* (+ a b) 1) (* (+ a b) (+ (sqrt a) (sqrt b))) (* (+ a b) 1) (* (cbrt (+ a b)) (- a b)) (* (sqrt (+ a b)) (- a b)) (* (+ a b) (- a b)) (* (+ a b) (- a b)) (* (+ a b) (- (pow a 3) (pow b 3))) (* (+ a b) (- (* a a) (* b b))) (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- (* a a) (* b b)) (- a b)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) 0.291 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) (- h0 h1)) (+ (log (+ h0 h1)) (log (- h0 h1))) (log (* (+ h0 h1) (- h0 h1))) (exp (* (+ h0 h1) (- h0 h1))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (* (+ h0 h1) (- h0 h1))) (cbrt (* (+ h0 h1) (- h0 h1)))) (cbrt (* (+ h0 h1) (- h0 h1))) (* (* (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- h0 h1))) (* (+ h0 h1) (- h0 h1))) (sqrt (* (+ h0 h1) (- h0 h1))) (sqrt (* (+ h0 h1) (- h0 h1))) (* (+ (pow h0 3) (pow h1 3)) (- (pow h0 3) (pow h1 3))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (+ (pow h0 3) (pow h1 3)) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (- (pow h0 3) (pow h1 3))) (* (- h0 h1) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (+ h0 h1)) (* (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (* (+ h0 h1) h0) (* (+ h0 h1) (- h1)) (* (+ h0 h1) h0) (* (+ h0 h1) (- h1)) (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)) (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)) (* (+ h0 h1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (* (+ h0 h1) (sqrt (- h0 h1))) (* (+ h0 h1) 1) (* (+ h0 h1) (+ (sqrt h0) (sqrt h1))) (* (+ h0 h1) 1) (* (cbrt (+ h0 h1)) (- h0 h1)) (* (sqrt (+ h0 h1)) (- h0 h1)) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- (pow h0 3) (pow h1 3))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (pow h0 3) (pow h1 3)) (- h0 h1)) (* (- (* h0 h0) (* h1 h1)) (- h0 h1)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.294 * * [simplify]: iteration 0 : 196 enodes (cost 201 ) 0.298 * * [simplify]: iteration 1 : 986 enodes (cost 187 ) 0.319 * * [simplify]: iteration 2 : 5001 enodes (cost 187 ) 0.320 * * * [progress]: adding candidates to table 0.375 * [progress]: [Phase 3 of 3] Extracting. 0.376 * * [regime]: Finding splitpoints for: (# #) 0.376 * * * [regime-changes]: Trying 5 branch expressions: ((* b b) (* a a) (- (* a a) (* b b)) b a) 0.376 * * * * [regimes]: Trying to branch on (* b b) from (# #) 0.387 * * * * [regimes]: Trying to branch on (* a a) from (# #) 0.397 * * * * [regimes]: Trying to branch on (- (* a a) (* b b)) from (# #) 0.407 * * * * [regimes]: Trying to branch on b from (# #) 0.417 * * * * [regimes]: Trying to branch on a from (# #) 0.429 * * * [regime]: Found split indices: #