26.731 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying: (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) 0.042 * * [simplify]: iteration 0: 8 enodes 0.046 * * [simplify]: iteration 1: 19 enodes 0.054 * * [simplify]: iteration 2: 44 enodes 0.068 * * [simplify]: iteration 3: 88 enodes 0.128 * * [simplify]: iteration 4: 236 enodes 0.276 * * [simplify]: iteration 5: 811 enodes 1.494 * * [simplify]: iteration 6: 2542 enodes 3.623 * * [simplify]: iteration complete: 5087 enodes 3.624 * * [simplify]: Extracting #0: cost 1 inf + 0 3.624 * * [simplify]: Extracting #1: cost 2 inf + 0 3.624 * * [simplify]: Extracting #2: cost 3 inf + 0 3.626 * * [simplify]: Extracting #3: cost 688 inf + 0 3.635 * * [simplify]: Extracting #4: cost 1197 inf + 9228 3.672 * * [simplify]: Extracting #5: cost 632 inf + 78207 3.739 * * [simplify]: Extracting #6: cost 21 inf + 150974 3.817 * * [simplify]: Extracting #7: cost 0 inf + 153883 3.896 * [simplify]: Simplified to: (sqrt (fabs (- 1 (* (/ b a) (/ b a))))) 3.911 * * [progress]: iteration 1 / 4 3.911 * * * [progress]: picking best candidate 3.920 * * * * [pick]: Picked # 3.920 * * * [progress]: localizing error 3.950 * * * [progress]: generating rewritten candidates 3.950 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 3.954 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2) 4.007 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 4.029 * * * [progress]: generating series expansions 4.029 * * * * [progress]: [ 1 / 3 ] generating series at (2) 4.029 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (* (/ b a) (/ b a))))) into (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) 4.030 * [approximate]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) in (b a) around 0 4.030 * [taylor]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) in a 4.030 * [taylor]: Taking taylor expansion of (fabs (- 1 (/ (pow b 2) (pow a 2)))) in a 4.030 * [backup-simplify]: Simplify (fabs (- 1 (/ (pow b 2) (pow a 2)))) into (fabs (- 1 (/ (pow b 2) (pow a 2)))) 4.031 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) into (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) 4.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))))) into 0 4.031 * [taylor]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) in b 4.031 * [taylor]: Taking taylor expansion of (fabs (- 1 (/ (pow b 2) (pow a 2)))) in b 4.032 * [backup-simplify]: Simplify (fabs (- 1 (/ (pow b 2) (pow a 2)))) into (fabs (- 1 (/ (pow b 2) (pow a 2)))) 4.032 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) into (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) 4.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))))) into 0 4.032 * [taylor]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) in b 4.032 * [taylor]: Taking taylor expansion of (fabs (- 1 (/ (pow b 2) (pow a 2)))) in b 4.033 * [backup-simplify]: Simplify (fabs (- 1 (/ (pow b 2) (pow a 2)))) into (fabs (- 1 (/ (pow b 2) (pow a 2)))) 4.033 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) into (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) 4.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))))) into 0 4.034 * [taylor]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) in a 4.034 * [taylor]: Taking taylor expansion of (fabs (- 1 (/ (pow b 2) (pow a 2)))) in a 4.034 * [backup-simplify]: Simplify (fabs (- 1 (/ (pow b 2) (pow a 2)))) into (fabs (- 1 (/ (pow b 2) (pow a 2)))) 4.034 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) into (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) 4.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))))) into 0 4.035 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) into (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) 4.035 * [taylor]: Taking taylor expansion of 0 in a 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))))) into 0 4.037 * [taylor]: Taking taylor expansion of 0 in a 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))))) into 0 4.038 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))))) into 0 4.039 * [taylor]: Taking taylor expansion of 0 in a 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) into (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) 4.040 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (* (/ (/ 1 b) (/ 1 a)) (/ (/ 1 b) (/ 1 a)))))) into (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) 4.040 * [approximate]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) in (b a) around 0 4.040 * [taylor]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) in a 4.040 * [taylor]: Taking taylor expansion of (fabs (- 1 (/ (pow a 2) (pow b 2)))) in a 4.040 * [backup-simplify]: Simplify (fabs (- 1 (/ (pow a 2) (pow b 2)))) into (fabs (- 1 (/ (pow a 2) (pow b 2)))) 4.041 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) into (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) 4.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.041 * [taylor]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) in b 4.041 * [taylor]: Taking taylor expansion of (fabs (- 1 (/ (pow a 2) (pow b 2)))) in b 4.042 * [backup-simplify]: Simplify (fabs (- 1 (/ (pow a 2) (pow b 2)))) into (fabs (- 1 (/ (pow a 2) (pow b 2)))) 4.042 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) into (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) 4.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.042 * [taylor]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) in b 4.042 * [taylor]: Taking taylor expansion of (fabs (- 1 (/ (pow a 2) (pow b 2)))) in b 4.043 * [backup-simplify]: Simplify (fabs (- 1 (/ (pow a 2) (pow b 2)))) into (fabs (- 1 (/ (pow a 2) (pow b 2)))) 4.043 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) into (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) 4.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.043 * [taylor]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) in a 4.043 * [taylor]: Taking taylor expansion of (fabs (- 1 (/ (pow a 2) (pow b 2)))) in a 4.044 * [backup-simplify]: Simplify (fabs (- 1 (/ (pow a 2) (pow b 2)))) into (fabs (- 1 (/ (pow a 2) (pow b 2)))) 4.044 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) into (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) 4.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.045 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) into (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) 4.045 * [taylor]: Taking taylor expansion of 0 in a 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.046 * [taylor]: Taking taylor expansion of 0 in a 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.048 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.049 * [taylor]: Taking taylor expansion of 0 in a 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow (/ 1 a) 2) (pow (/ 1 b) 2))))) into (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) 4.050 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (* (/ (/ 1 (- b)) (/ 1 (- a))) (/ (/ 1 (- b)) (/ 1 (- a))))))) into (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) 4.050 * [approximate]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) in (b a) around 0 4.050 * [taylor]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) in a 4.050 * [taylor]: Taking taylor expansion of (fabs (- 1 (/ (pow a 2) (pow b 2)))) in a 4.050 * [backup-simplify]: Simplify (fabs (- 1 (/ (pow a 2) (pow b 2)))) into (fabs (- 1 (/ (pow a 2) (pow b 2)))) 4.051 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) into (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) 4.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.051 * [taylor]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) in b 4.051 * [taylor]: Taking taylor expansion of (fabs (- 1 (/ (pow a 2) (pow b 2)))) in b 4.052 * [backup-simplify]: Simplify (fabs (- 1 (/ (pow a 2) (pow b 2)))) into (fabs (- 1 (/ (pow a 2) (pow b 2)))) 4.052 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) into (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) 4.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.052 * [taylor]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) in b 4.052 * [taylor]: Taking taylor expansion of (fabs (- 1 (/ (pow a 2) (pow b 2)))) in b 4.053 * [backup-simplify]: Simplify (fabs (- 1 (/ (pow a 2) (pow b 2)))) into (fabs (- 1 (/ (pow a 2) (pow b 2)))) 4.053 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) into (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) 4.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.053 * [taylor]: Taking taylor expansion of (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) in a 4.053 * [taylor]: Taking taylor expansion of (fabs (- 1 (/ (pow a 2) (pow b 2)))) in a 4.054 * [backup-simplify]: Simplify (fabs (- 1 (/ (pow a 2) (pow b 2)))) into (fabs (- 1 (/ (pow a 2) (pow b 2)))) 4.054 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) into (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) 4.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.055 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) into (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))) 4.055 * [taylor]: Taking taylor expansion of 0 in a 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.056 * [taylor]: Taking taylor expansion of 0 in a 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.058 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fabs (- 1 (/ (pow a 2) (pow b 2))))))) into 0 4.083 * [taylor]: Taking taylor expansion of 0 in a 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify (sqrt (fabs (- 1 (/ (pow (/ 1 (- a)) 2) (pow (/ 1 (- b)) 2))))) into (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) 4.084 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2) 4.084 * [backup-simplify]: Simplify (* (/ b a) (/ b a)) into (/ (pow b 2) (pow a 2)) 4.084 * [approximate]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in (b a) around 0 4.084 * [taylor]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in a 4.084 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.084 * [taylor]: Taking taylor expansion of b in a 4.084 * [backup-simplify]: Simplify b into b 4.084 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.084 * [taylor]: Taking taylor expansion of a in a 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.085 * [backup-simplify]: Simplify (* 1 1) into 1 4.086 * [backup-simplify]: Simplify (/ (pow b 2) 1) into (pow b 2) 4.086 * [taylor]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in b 4.086 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.086 * [taylor]: Taking taylor expansion of b in b 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.086 * [taylor]: Taking taylor expansion of a in b 4.086 * [backup-simplify]: Simplify a into a 4.087 * [backup-simplify]: Simplify (* 1 1) into 1 4.087 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.087 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.087 * [taylor]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in b 4.087 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.087 * [taylor]: Taking taylor expansion of b in b 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.087 * [taylor]: Taking taylor expansion of a in b 4.087 * [backup-simplify]: Simplify a into a 4.088 * [backup-simplify]: Simplify (* 1 1) into 1 4.088 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.088 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.088 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.088 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.088 * [taylor]: Taking taylor expansion of a in a 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 1 into 1 4.089 * [backup-simplify]: Simplify (* 1 1) into 1 4.090 * [backup-simplify]: Simplify (/ 1 1) into 1 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.091 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.091 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 4.091 * [taylor]: Taking taylor expansion of 0 in a 4.091 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.095 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.095 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 4.095 * [taylor]: Taking taylor expansion of 0 in a 4.096 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.100 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 4.101 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 4.101 * [taylor]: Taking taylor expansion of 0 in a 4.101 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.108 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 4.109 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 4.109 * [taylor]: Taking taylor expansion of 0 in a 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 a) b) 2)) into (/ (pow b 2) (pow a 2)) 4.110 * [backup-simplify]: Simplify (* (/ (/ 1 b) (/ 1 a)) (/ (/ 1 b) (/ 1 a))) into (/ (pow a 2) (pow b 2)) 4.110 * [approximate]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in (b a) around 0 4.110 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in a 4.110 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.110 * [taylor]: Taking taylor expansion of a in a 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.110 * [taylor]: Taking taylor expansion of b in a 4.110 * [backup-simplify]: Simplify b into b 4.111 * [backup-simplify]: Simplify (* 1 1) into 1 4.111 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.111 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.111 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 4.111 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.111 * [taylor]: Taking taylor expansion of a in b 4.111 * [backup-simplify]: Simplify a into a 4.111 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.111 * [taylor]: Taking taylor expansion of b in b 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.112 * [backup-simplify]: Simplify (* 1 1) into 1 4.112 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 4.112 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 4.112 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.112 * [taylor]: Taking taylor expansion of a in b 4.112 * [backup-simplify]: Simplify a into a 4.112 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.112 * [taylor]: Taking taylor expansion of b in b 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.112 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.113 * [backup-simplify]: Simplify (* 1 1) into 1 4.113 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 4.113 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.113 * [taylor]: Taking taylor expansion of a in a 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [backup-simplify]: Simplify (* 1 1) into 1 4.113 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)))) into 0 4.115 * [taylor]: Taking taylor expansion of 0 in a 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.119 * [taylor]: Taking taylor expansion of 0 in a 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 4.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.124 * [taylor]: Taking taylor expansion of 0 in a 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 a) (/ 1 (/ 1 b))) 2)) into (/ (pow b 2) (pow a 2)) 4.125 * [backup-simplify]: Simplify (* (/ (/ 1 (- b)) (/ 1 (- a))) (/ (/ 1 (- b)) (/ 1 (- a)))) into (/ (pow a 2) (pow b 2)) 4.125 * [approximate]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in (b a) around 0 4.125 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in a 4.125 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.125 * [taylor]: Taking taylor expansion of a in a 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.125 * [taylor]: Taking taylor expansion of b in a 4.125 * [backup-simplify]: Simplify b into b 4.126 * [backup-simplify]: Simplify (* 1 1) into 1 4.126 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.126 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.126 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 4.126 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.126 * [taylor]: Taking taylor expansion of a in b 4.126 * [backup-simplify]: Simplify a into a 4.126 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.126 * [taylor]: Taking taylor expansion of b in b 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 1 into 1 4.126 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.127 * [backup-simplify]: Simplify (* 1 1) into 1 4.127 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 4.127 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 4.127 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.127 * [taylor]: Taking taylor expansion of a in b 4.127 * [backup-simplify]: Simplify a into a 4.127 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.127 * [taylor]: Taking taylor expansion of b in b 4.127 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify 1 into 1 4.127 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.128 * [backup-simplify]: Simplify (* 1 1) into 1 4.128 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 4.128 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.128 * [taylor]: Taking taylor expansion of a in a 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (* 1 1) into 1 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)))) into 0 4.130 * [taylor]: Taking taylor expansion of 0 in a 4.130 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.134 * [taylor]: Taking taylor expansion of 0 in a 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.135 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.140 * [taylor]: Taking taylor expansion of 0 in a 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (- a)) (/ 1 (/ 1 (- b)))) 2)) into (/ (pow b 2) (pow a 2)) 4.140 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 4.141 * [backup-simplify]: Simplify (- 1 (* (/ b a) (/ b a))) into (- 1 (/ (pow b 2) (pow a 2))) 4.141 * [approximate]: Taking taylor expansion of (- 1 (/ (pow b 2) (pow a 2))) in (b a) around 0 4.141 * [taylor]: Taking taylor expansion of (- 1 (/ (pow b 2) (pow a 2))) in a 4.141 * [taylor]: Taking taylor expansion of 1 in a 4.141 * [backup-simplify]: Simplify 1 into 1 4.141 * [taylor]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in a 4.141 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.141 * [taylor]: Taking taylor expansion of b in a 4.141 * [backup-simplify]: Simplify b into b 4.141 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.141 * [taylor]: Taking taylor expansion of a in a 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 1 into 1 4.141 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.142 * [backup-simplify]: Simplify (* 1 1) into 1 4.142 * [backup-simplify]: Simplify (/ (pow b 2) 1) into (pow b 2) 4.142 * [taylor]: Taking taylor expansion of (- 1 (/ (pow b 2) (pow a 2))) in b 4.142 * [taylor]: Taking taylor expansion of 1 in b 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [taylor]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in b 4.142 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.142 * [taylor]: Taking taylor expansion of b in b 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.142 * [taylor]: Taking taylor expansion of a in b 4.142 * [backup-simplify]: Simplify a into a 4.143 * [backup-simplify]: Simplify (* 1 1) into 1 4.143 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.143 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.143 * [taylor]: Taking taylor expansion of (- 1 (/ (pow b 2) (pow a 2))) in b 4.143 * [taylor]: Taking taylor expansion of 1 in b 4.143 * [backup-simplify]: Simplify 1 into 1 4.143 * [taylor]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in b 4.143 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.143 * [taylor]: Taking taylor expansion of b in b 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.143 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.143 * [taylor]: Taking taylor expansion of a in b 4.143 * [backup-simplify]: Simplify a into a 4.144 * [backup-simplify]: Simplify (* 1 1) into 1 4.144 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.144 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.144 * [backup-simplify]: Simplify (+ 1 0) into 1 4.144 * [taylor]: Taking taylor expansion of 1 in a 4.144 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (+ 0 0) into 0 4.145 * [taylor]: Taking taylor expansion of 0 in a 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 4.145 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 4.145 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 4.145 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.145 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.145 * [taylor]: Taking taylor expansion of a in a 4.145 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [backup-simplify]: Simplify (* 1 1) into 1 4.146 * [backup-simplify]: Simplify (/ 1 1) into 1 4.147 * [backup-simplify]: Simplify (- 1) into -1 4.147 * [backup-simplify]: Simplify -1 into -1 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.148 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.148 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 4.148 * [backup-simplify]: Simplify (- 0) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.149 * [taylor]: Taking taylor expansion of 0 in a 4.149 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.151 * [backup-simplify]: Simplify (- 0) into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.152 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.153 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 4.154 * [backup-simplify]: Simplify (- 0) into 0 4.154 * [backup-simplify]: Simplify (+ 0 0) into 0 4.154 * [taylor]: Taking taylor expansion of 0 in a 4.154 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.157 * [backup-simplify]: Simplify (- 0) into 0 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify (+ 1 (* -1 (pow (* (/ 1 a) b) 2))) into (- 1 (/ (pow b 2) (pow a 2))) 4.158 * [backup-simplify]: Simplify (- 1 (* (/ (/ 1 b) (/ 1 a)) (/ (/ 1 b) (/ 1 a)))) into (- 1 (/ (pow a 2) (pow b 2))) 4.158 * [approximate]: Taking taylor expansion of (- 1 (/ (pow a 2) (pow b 2))) in (b a) around 0 4.158 * [taylor]: Taking taylor expansion of (- 1 (/ (pow a 2) (pow b 2))) in a 4.158 * [taylor]: Taking taylor expansion of 1 in a 4.159 * [backup-simplify]: Simplify 1 into 1 4.159 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in a 4.159 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.159 * [taylor]: Taking taylor expansion of a in a 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 1 into 1 4.159 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.159 * [taylor]: Taking taylor expansion of b in a 4.159 * [backup-simplify]: Simplify b into b 4.159 * [backup-simplify]: Simplify (* 1 1) into 1 4.159 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.160 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.160 * [taylor]: Taking taylor expansion of (- 1 (/ (pow a 2) (pow b 2))) in b 4.160 * [taylor]: Taking taylor expansion of 1 in b 4.160 * [backup-simplify]: Simplify 1 into 1 4.160 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 4.160 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.160 * [taylor]: Taking taylor expansion of a in b 4.160 * [backup-simplify]: Simplify a into a 4.160 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.160 * [taylor]: Taking taylor expansion of b in b 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 1 into 1 4.160 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.161 * [backup-simplify]: Simplify (* 1 1) into 1 4.161 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 4.161 * [taylor]: Taking taylor expansion of (- 1 (/ (pow a 2) (pow b 2))) in b 4.161 * [taylor]: Taking taylor expansion of 1 in b 4.161 * [backup-simplify]: Simplify 1 into 1 4.161 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 4.161 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.161 * [taylor]: Taking taylor expansion of a in b 4.161 * [backup-simplify]: Simplify a into a 4.161 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.161 * [taylor]: Taking taylor expansion of b in b 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 1 into 1 4.161 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.162 * [backup-simplify]: Simplify (* 1 1) into 1 4.162 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 4.162 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 4.162 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 4.162 * [taylor]: Taking taylor expansion of (- (pow a 2)) in a 4.162 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.162 * [taylor]: Taking taylor expansion of a in a 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.162 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (- 0) into 0 4.166 * [backup-simplify]: Simplify (+ 0 0) into 0 4.166 * [taylor]: Taking taylor expansion of 0 in a 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (- 0) into 0 4.170 * [backup-simplify]: Simplify (+ 1 0) into 1 4.171 * [taylor]: Taking taylor expansion of 1 in a 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (* 1 1) into 1 4.171 * [backup-simplify]: Simplify (- 1) into -1 4.171 * [backup-simplify]: Simplify -1 into -1 4.172 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 4.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.176 * [backup-simplify]: Simplify (- 0) into 0 4.176 * [backup-simplify]: Simplify (+ 0 0) into 0 4.176 * [taylor]: Taking taylor expansion of 0 in a 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.177 * [backup-simplify]: Simplify (- 0) into 0 4.178 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 4.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.185 * [backup-simplify]: Simplify (- 0) into 0 4.185 * [backup-simplify]: Simplify (+ 0 0) into 0 4.185 * [taylor]: Taking taylor expansion of 0 in a 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 a) (/ 1 (/ 1 b))) 2)) 1) into (- 1 (/ (pow b 2) (pow a 2))) 4.186 * [backup-simplify]: Simplify (- 1 (* (/ (/ 1 (- b)) (/ 1 (- a))) (/ (/ 1 (- b)) (/ 1 (- a))))) into (- 1 (/ (pow a 2) (pow b 2))) 4.186 * [approximate]: Taking taylor expansion of (- 1 (/ (pow a 2) (pow b 2))) in (b a) around 0 4.186 * [taylor]: Taking taylor expansion of (- 1 (/ (pow a 2) (pow b 2))) in a 4.186 * [taylor]: Taking taylor expansion of 1 in a 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in a 4.186 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.186 * [taylor]: Taking taylor expansion of a in a 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.186 * [taylor]: Taking taylor expansion of b in a 4.186 * [backup-simplify]: Simplify b into b 4.187 * [backup-simplify]: Simplify (* 1 1) into 1 4.187 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.187 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.187 * [taylor]: Taking taylor expansion of (- 1 (/ (pow a 2) (pow b 2))) in b 4.187 * [taylor]: Taking taylor expansion of 1 in b 4.187 * [backup-simplify]: Simplify 1 into 1 4.187 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 4.187 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.187 * [taylor]: Taking taylor expansion of a in b 4.187 * [backup-simplify]: Simplify a into a 4.187 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.188 * [taylor]: Taking taylor expansion of b in b 4.188 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify 1 into 1 4.188 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.188 * [backup-simplify]: Simplify (* 1 1) into 1 4.188 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 4.188 * [taylor]: Taking taylor expansion of (- 1 (/ (pow a 2) (pow b 2))) in b 4.188 * [taylor]: Taking taylor expansion of 1 in b 4.188 * [backup-simplify]: Simplify 1 into 1 4.188 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 4.188 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.188 * [taylor]: Taking taylor expansion of a in b 4.188 * [backup-simplify]: Simplify a into a 4.189 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.189 * [taylor]: Taking taylor expansion of b in b 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify 1 into 1 4.189 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.189 * [backup-simplify]: Simplify (* 1 1) into 1 4.189 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 4.189 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 4.190 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 4.190 * [taylor]: Taking taylor expansion of (- (pow a 2)) in a 4.190 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.190 * [taylor]: Taking taylor expansion of a in a 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 1 into 1 4.190 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (- 0) into 0 4.193 * [backup-simplify]: Simplify (+ 0 0) into 0 4.193 * [taylor]: Taking taylor expansion of 0 in a 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.197 * [backup-simplify]: Simplify (- 0) into 0 4.197 * [backup-simplify]: Simplify (+ 1 0) into 1 4.197 * [taylor]: Taking taylor expansion of 1 in a 4.197 * [backup-simplify]: Simplify 1 into 1 4.197 * [backup-simplify]: Simplify 1 into 1 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify (* 1 1) into 1 4.198 * [backup-simplify]: Simplify (- 1) into -1 4.198 * [backup-simplify]: Simplify -1 into -1 4.199 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 4.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.203 * [backup-simplify]: Simplify (- 0) into 0 4.203 * [backup-simplify]: Simplify (+ 0 0) into 0 4.203 * [taylor]: Taking taylor expansion of 0 in a 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.205 * [backup-simplify]: Simplify (- 0) into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 4.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.210 * [backup-simplify]: Simplify (- 0) into 0 4.211 * [backup-simplify]: Simplify (+ 0 0) into 0 4.211 * [taylor]: Taking taylor expansion of 0 in a 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (- a)) (/ 1 (/ 1 (- b)))) 2)) 1) into (- 1 (/ (pow b 2) (pow a 2))) 4.212 * * * [progress]: simplifying candidates 4.217 * [simplify]: Simplifying: (expm1 (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (log1p (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (log (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (exp (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (* (cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a))))))) (cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (* (* (sqrt (fabs (- 1 (* (/ b a) (/ b a))))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (sqrt (* (cbrt (fabs (- 1 (* (/ b a) (/ b a))))) (cbrt (fabs (- 1 (* (/ b a) (/ b a))))))) (sqrt (cbrt (fabs (- 1 (* (/ b a) (/ b a)))))) (sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (sqrt 1) (sqrt (fabs (- 1 (* (/ b a) (/ b a))))) (/ 1 2) (sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (expm1 (* (/ b a) (/ b a))) (log1p (* (/ b a) (/ b a))) (+ 1 1) (* (/ b a) (/ b a)) (+ 1 1) (+ (- (log b) (log a)) (- (log b) (log a))) (+ (- (log b) (log a)) (log (/ b a))) (+ (log (/ b a)) (- (log b) (log a))) (+ (log (/ b a)) (log (/ b a))) (log (* (/ b a) (/ b a))) (exp (* (/ b a) (/ b a))) (* (/ (* (* b b) b) (* (* a a) a)) (/ (* (* b b) b) (* (* a a) a))) (* (/ (* (* b b) b) (* (* a a) a)) (* (* (/ b a) (/ b a)) (/ b a))) (* (* (* (/ b a) (/ b a)) (/ b a)) (/ (* (* b b) b) (* (* a a) a))) (* (* (* (/ b a) (/ b a)) (/ b a)) (* (* (/ b a) (/ b a)) (/ b a))) (* (cbrt (* (/ b a) (/ b a))) (cbrt (* (/ b a) (/ b a)))) (cbrt (* (/ b a) (/ b a))) (* (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a))) (* (/ b a) (/ b a))) (sqrt (* (/ b a) (/ b a))) (sqrt (* (/ b a) (/ b a))) (* b b) (* a a) (* (* (cbrt (/ b a)) (cbrt (/ b a))) (* (cbrt (/ b a)) (cbrt (/ b a)))) (* (cbrt (/ b a)) (cbrt (/ b a))) (* (sqrt (/ b a)) (sqrt (/ b a))) (* (sqrt (/ b a)) (sqrt (/ b a))) (* (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a))) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a)))) (* (/ (cbrt b) (cbrt a)) (/ (cbrt b) (cbrt a))) (* (/ (* (cbrt b) (cbrt b)) (sqrt a)) (/ (* (cbrt b) (cbrt b)) (sqrt a))) (* (/ (cbrt b) (sqrt a)) (/ (cbrt b) (sqrt a))) (* (/ (* (cbrt b) (cbrt b)) 1) (/ (* (cbrt b) (cbrt b)) 1)) (* (/ (cbrt b) a) (/ (cbrt b) a)) (* (/ (sqrt b) (* (cbrt a) (cbrt a))) (/ (sqrt b) (* (cbrt a) (cbrt a)))) (* (/ (sqrt b) (cbrt a)) (/ (sqrt b) (cbrt a))) (* (/ (sqrt b) (sqrt a)) (/ (sqrt b) (sqrt a))) (* (/ (sqrt b) (sqrt a)) (/ (sqrt b) (sqrt a))) (* (/ (sqrt b) 1) (/ (sqrt b) 1)) (* (/ (sqrt b) a) (/ (sqrt b) a)) (* (/ 1 (* (cbrt a) (cbrt a))) (/ 1 (* (cbrt a) (cbrt a)))) (* (/ b (cbrt a)) (/ b (cbrt a))) (* (/ 1 (sqrt a)) (/ 1 (sqrt a))) (* (/ b (sqrt a)) (/ b (sqrt a))) (* (/ 1 1) (/ 1 1)) (* (/ b a) (/ b a)) (* 1 1) (* (/ b a) (/ b a)) (* b b) (* (/ 1 a) (/ 1 a)) (* (sqrt (/ b a)) (sqrt (/ b a))) (* (sqrt (/ b a)) (sqrt (/ b a))) (* (sqrt (/ b a)) (/ (sqrt b) (sqrt a))) (* (sqrt (/ b a)) (/ (sqrt b) (sqrt a))) (* (/ (sqrt b) (sqrt a)) (sqrt (/ b a))) (* (/ (sqrt b) (sqrt a)) (sqrt (/ b a))) (* (/ (sqrt b) (sqrt a)) (/ (sqrt b) (sqrt a))) (* (/ (sqrt b) (sqrt a)) (/ (sqrt b) (sqrt a))) (* 2 1) (* (/ b a) (* (cbrt (/ b a)) (cbrt (/ b a)))) (* (/ b a) (sqrt (/ b a))) (* (/ b a) (/ (* (cbrt b) (cbrt b)) (* (cbrt a) (cbrt a)))) (* (/ b a) (/ (* (cbrt b) (cbrt b)) (sqrt a))) (* (/ b a) (/ (* (cbrt b) (cbrt b)) 1)) (* (/ b a) (/ (sqrt b) (* (cbrt a) (cbrt a)))) (* (/ b a) (/ (sqrt b) (sqrt a))) (* (/ b a) (/ (sqrt b) 1)) (* (/ b a) (/ 1 (* (cbrt a) (cbrt a)))) (* (/ b a) (/ 1 (sqrt a))) (* (/ b a) (/ 1 1)) (* (/ b a) 1) (* (/ b a) b) (* (cbrt (/ b a)) (/ b a)) (* (sqrt (/ b a)) (/ b a)) (* (/ (cbrt b) (cbrt a)) (/ b a)) (* (/ (cbrt b) (sqrt a)) (/ b a)) (* (/ (cbrt b) a) (/ b a)) (* (/ (sqrt b) (cbrt a)) (/ b a)) (* (/ (sqrt b) (sqrt a)) (/ b a)) (* (/ (sqrt b) a) (/ b a)) (* (/ b (cbrt a)) (/ b a)) (* (/ b (sqrt a)) (/ b a)) (* (/ b a) (/ b a)) (* (/ b a) (/ b a)) (* (/ 1 a) (/ b a)) (* (/ b a) b) (* b (/ b a)) (fma (* (cbrt 1) (cbrt 1)) (cbrt 1) (- (* (/ b a) (/ b a)))) (fma (- (/ b a)) (/ b a) (* (/ b a) (/ b a))) (fma (sqrt 1) (sqrt 1) (- (* (/ b a) (/ b a)))) (fma (- (/ b a)) (/ b a) (* (/ b a) (/ b a))) (fma 1 1 (- (* (/ b a) (/ b a)))) (fma (- (/ b a)) (/ b a) (* (/ b a) (/ b a))) (expm1 (- 1 (* (/ b a) (/ b a)))) (log1p (- 1 (* (/ b a) (/ b a)))) (- (* (/ b a) (/ b a))) (- (* (/ b a) (/ b a))) (- (* (/ b a) (/ b a))) (/ (exp 1) (exp (* (/ b a) (/ b a)))) (log (- 1 (* (/ b a) (/ b a)))) (exp (- 1 (* (/ b a) (/ b a)))) (* (cbrt (- 1 (* (/ b a) (/ b a)))) (cbrt (- 1 (* (/ b a) (/ b a))))) (cbrt (- 1 (* (/ b a) (/ b a)))) (* (* (- 1 (* (/ b a) (/ b a))) (- 1 (* (/ b a) (/ b a)))) (- 1 (* (/ b a) (/ b a)))) (sqrt (- 1 (* (/ b a) (/ b a)))) (sqrt (- 1 (* (/ b a) (/ b a)))) (- (pow 1 3) (pow (* (/ b a) (/ b a)) 3)) (+ (* 1 1) (+ (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a))) (* 1 (* (/ b a) (/ b a))))) (- (* (/ b a) (/ b a))) (- (* 1 1) (* (* (/ b a) (/ b a)) (* (/ b a) (/ b a)))) (+ 1 (* (/ b a) (/ b a))) (+ (sqrt 1) (/ b a)) (- (sqrt 1) (/ b a)) (+ 1 (/ b a)) (- 1 (/ b a)) (- (* (/ b a) (/ b a))) (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) (sqrt (fabs (- 1 (/ (pow b 2) (pow a 2))))) (/ (pow b 2) (pow a 2)) (/ (pow b 2) (pow a 2)) (/ (pow b 2) (pow a 2)) (- 1 (/ (pow b 2) (pow a 2))) (- 1 (/ (pow b 2) (pow a 2))) (- 1 (/ (pow b 2) (pow a 2))) 4.220 * * [simplify]: iteration 0: 164 enodes 4.327 * * [simplify]: iteration 1: 493 enodes 4.979 * * [simplify]: iteration 2: 1622 enodes 7.315 * * [simplify]: iteration 3: 4839 enodes