11.320 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (* a a) (* b b)) 0.035 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.037 * * [simplify]: iteration 1 : 18 enodes (cost 3 ) 0.039 * * [simplify]: iteration 2 : 35 enodes (cost 3 ) 0.041 * * [simplify]: iteration 3 : 67 enodes (cost 3 ) 0.044 * * [simplify]: iteration 4 : 163 enodes (cost 3 ) 0.048 * * [simplify]: iteration 5 : 294 enodes (cost 3 ) 0.053 * * [simplify]: iteration 6 : 541 enodes (cost 3 ) 0.068 * * [simplify]: iteration 7 : 2138 enodes (cost 3 ) 0.132 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.133 * [simplify]: Simplified to: (- (* a a) (* b b)) 0.133 * * [progress]: iteration 1 / 4 0.133 * * * [progress]: picking best candidate 0.134 * * * * [pick]: Picked # 0.134 * * * [progress]: localizing error 0.139 * * * [progress]: generating rewritten candidates 0.139 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.143 * * * [progress]: generating series expansions 0.143 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.143 * [approximate]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in (a b) around 0 0.143 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in b 0.143 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.143 * [taylor]: Taking taylor expansion of a in b 0.143 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.143 * [taylor]: Taking taylor expansion of b in b 0.143 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.143 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.143 * [taylor]: Taking taylor expansion of a in a 0.143 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.143 * [taylor]: Taking taylor expansion of b in a 0.143 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 0.143 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.143 * [taylor]: Taking taylor expansion of a in a 0.143 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.143 * [taylor]: Taking taylor expansion of b in a 0.144 * [taylor]: Taking taylor expansion of (- (pow b 2)) in b 0.144 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.144 * [taylor]: Taking taylor expansion of b in b 0.144 * [taylor]: Taking taylor expansion of 0 in b 0.145 * [taylor]: Taking taylor expansion of 1 in b 0.147 * [taylor]: Taking taylor expansion of 0 in b 0.149 * [taylor]: Taking taylor expansion of 0 in b 0.150 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.150 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.150 * [taylor]: Taking taylor expansion of a in b 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.150 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.150 * [taylor]: Taking taylor expansion of b in b 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.150 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.150 * [taylor]: Taking taylor expansion of a in a 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.151 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.151 * [taylor]: Taking taylor expansion of b in a 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.151 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.151 * [taylor]: Taking taylor expansion of a in a 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.152 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.152 * [taylor]: Taking taylor expansion of b in a 0.152 * [taylor]: Taking taylor expansion of 1 in b 0.153 * [taylor]: Taking taylor expansion of 0 in b 0.154 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.154 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.154 * [taylor]: Taking taylor expansion of b in b 0.157 * [taylor]: Taking taylor expansion of 0 in b 0.160 * [taylor]: Taking taylor expansion of 0 in b 0.161 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 0.161 * [taylor]: Taking taylor expansion of (pow a 2) in b 0.161 * [taylor]: Taking taylor expansion of a in b 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.161 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.161 * [taylor]: Taking taylor expansion of b in b 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.162 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.162 * [taylor]: Taking taylor expansion of a in a 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.162 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.162 * [taylor]: Taking taylor expansion of b in a 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.162 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.162 * [taylor]: Taking taylor expansion of a in a 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 0.163 * [taylor]: Taking taylor expansion of (pow b 2) in a 0.163 * [taylor]: Taking taylor expansion of b in a 0.163 * [taylor]: Taking taylor expansion of 1 in b 0.164 * [taylor]: Taking taylor expansion of 0 in b 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 0.166 * [taylor]: Taking taylor expansion of (pow b 2) in b 0.166 * [taylor]: Taking taylor expansion of b in b 0.168 * [taylor]: Taking taylor expansion of 0 in b 0.171 * [taylor]: Taking taylor expansion of 0 in b 0.172 * * * [progress]: simplifying candidates 0.173 * [simplify]: Simplifying using # : (fma a a (- (* b b))) (fma (- b) b (* b b)) (expm1 (- (* a a) (* b b))) (log1p (- (* a a) (* b b))) (- (* b b)) (/ (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)) 0.176 * * [simplify]: iteration 0 : 102 enodes (cost 97 ) 0.179 * * [simplify]: iteration 1 : 416 enodes (cost 87 ) 0.185 * * [simplify]: iteration 2 : 1403 enodes (cost 84 ) 0.214 * * [simplify]: iteration 3 : 5002 enodes (cost 80 ) 0.215 * [simplify]: Simplified to: (- (* a a) (* b b)) 0 (expm1 (- (* a a) (* b b))) (log1p (- (* a a) (* b b))) (- (* b b)) (exp (- (* a a) (* 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))) (pow (- (* a a) (* b b)) 3) (sqrt (- (* a a) (* b b))) (sqrt (- (* a a) (* b b))) (fma (- (pow b 5)) b (pow a 6)) (fma b (* b (fma a a (* b b))) (pow a 4)) (- (* b b)) (fma (- (pow b 3)) b (pow a 4)) (fma a a (* b b)) (+ a b) (- a b) (- (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) (- (* a a) (* b b)) 0.215 * * * [progress]: adding candidates to table 0.245 * * [progress]: iteration 2 / 4 0.245 * * * [progress]: picking best candidate 0.246 * * * * [pick]: Picked # 0.246 * * * [progress]: localizing error 0.251 * * * [progress]: generating rewritten candidates 0.251 * * * [progress]: generating series expansions 0.251 * * * [progress]: simplifying candidates 0.251 * [simplify]: Simplifying using # : 0.253 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.253 * [simplify]: Simplified to: 0.253 * * * [progress]: adding candidates to table 0.254 * [progress]: [Phase 3 of 3] Extracting. 0.255 * [simplify]: Simplifying using # : (fma a a (- (* b b))) 0.256 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.256 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.256 * [simplify]: Simplified to: (fma a a (- (* b b))) 0.877 * [regime-testing]: End program error score: 0.002250281285160645 0.893 * [regime-testing]: Target error score: 0.0010001250156269534