0.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.077 * * * [progress]: [2/2] Setting up program. 0.082 * [progress]: [Phase 2 of 3] Improving. 0.082 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.082 * [simplify]: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) 0.082 * * [simplify]: iters left: 6 (21 enodes) 0.088 * * [simplify]: iters left: 5 (93 enodes) 0.119 * * [simplify]: iters left: 4 (174 enodes) 0.194 * * [simplify]: iters left: 3 (367 enodes) 0.313 * * [simplify]: Extracting #0: cost 1 inf + 0 0.313 * * [simplify]: Extracting #1: cost 35 inf + 0 0.313 * * [simplify]: Extracting #2: cost 112 inf + 1 0.314 * * [simplify]: Extracting #3: cost 197 inf + 297 0.315 * * [simplify]: Extracting #4: cost 252 inf + 757 0.317 * * [simplify]: Extracting #5: cost 206 inf + 8990 0.326 * * [simplify]: Extracting #6: cost 55 inf + 47735 0.349 * * [simplify]: Extracting #7: cost 1 inf + 67652 0.364 * * [simplify]: Extracting #8: cost 0 inf + 67697 0.387 * [simplify]: Simplified to (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))) 0.387 * [simplify]: Simplified (2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 0.409 * * [progress]: iteration 1 / 4 0.409 * * * [progress]: picking best candidate 0.419 * * * * [pick]: Picked # 0.419 * * * [progress]: localizing error 0.487 * * * [progress]: generating rewritten candidates 0.487 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.526 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.527 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.544 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.550 * * * [progress]: generating series expansions 0.550 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.551 * [backup-simplify]: Simplify (cos (- (* (/ K 2) (+ m n)) M)) into (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) 0.551 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in (K m n M) around 0 0.551 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in M 0.551 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in M 0.551 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in M 0.551 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 0.551 * [taylor]: Taking taylor expansion of 1/2 in M 0.551 * [backup-simplify]: Simplify 1/2 into 1/2 0.551 * [taylor]: Taking taylor expansion of (* K n) in M 0.551 * [taylor]: Taking taylor expansion of K in M 0.551 * [backup-simplify]: Simplify K into K 0.551 * [taylor]: Taking taylor expansion of n in M 0.551 * [backup-simplify]: Simplify n into n 0.551 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in M 0.551 * [taylor]: Taking taylor expansion of 1/2 in M 0.551 * [backup-simplify]: Simplify 1/2 into 1/2 0.551 * [taylor]: Taking taylor expansion of (* K m) in M 0.551 * [taylor]: Taking taylor expansion of K in M 0.551 * [backup-simplify]: Simplify K into K 0.551 * [taylor]: Taking taylor expansion of m in M 0.551 * [backup-simplify]: Simplify m into m 0.551 * [taylor]: Taking taylor expansion of M in M 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (* K n) into (* K n) 0.551 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 0.551 * [backup-simplify]: Simplify (* K m) into (* K m) 0.551 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 0.551 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (* 1/2 (* K m))) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) 0.552 * [backup-simplify]: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 0.552 * [backup-simplify]: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 0.552 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in n 0.552 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in n 0.552 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in n 0.552 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 0.552 * [taylor]: Taking taylor expansion of 1/2 in n 0.552 * [backup-simplify]: Simplify 1/2 into 1/2 0.552 * [taylor]: Taking taylor expansion of (* K n) in n 0.552 * [taylor]: Taking taylor expansion of K in n 0.552 * [backup-simplify]: Simplify K into K 0.552 * [taylor]: Taking taylor expansion of n in n 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in n 0.552 * [taylor]: Taking taylor expansion of 1/2 in n 0.552 * [backup-simplify]: Simplify 1/2 into 1/2 0.552 * [taylor]: Taking taylor expansion of (* K m) in n 0.552 * [taylor]: Taking taylor expansion of K in n 0.552 * [backup-simplify]: Simplify K into K 0.552 * [taylor]: Taking taylor expansion of m in n 0.552 * [backup-simplify]: Simplify m into m 0.552 * [taylor]: Taking taylor expansion of M in n 0.552 * [backup-simplify]: Simplify M into M 0.552 * [backup-simplify]: Simplify (* K 0) into 0 0.553 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.553 * [backup-simplify]: Simplify (* K m) into (* K m) 0.553 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 0.553 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K m))) into (* 1/2 (* K m)) 0.553 * [backup-simplify]: Simplify (- M) into (- M) 0.553 * [backup-simplify]: Simplify (+ (* 1/2 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) 0.553 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) 0.553 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) 0.553 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in m 0.553 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in m 0.553 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in m 0.553 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in m 0.553 * [taylor]: Taking taylor expansion of 1/2 in m 0.553 * [backup-simplify]: Simplify 1/2 into 1/2 0.553 * [taylor]: Taking taylor expansion of (* K n) in m 0.553 * [taylor]: Taking taylor expansion of K in m 0.553 * [backup-simplify]: Simplify K into K 0.553 * [taylor]: Taking taylor expansion of n in m 0.553 * [backup-simplify]: Simplify n into n 0.553 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in m 0.553 * [taylor]: Taking taylor expansion of 1/2 in m 0.553 * [backup-simplify]: Simplify 1/2 into 1/2 0.553 * [taylor]: Taking taylor expansion of (* K m) in m 0.553 * [taylor]: Taking taylor expansion of K in m 0.553 * [backup-simplify]: Simplify K into K 0.553 * [taylor]: Taking taylor expansion of m in m 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [taylor]: Taking taylor expansion of M in m 0.553 * [backup-simplify]: Simplify M into M 0.553 * [backup-simplify]: Simplify (* K n) into (* K n) 0.553 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 0.554 * [backup-simplify]: Simplify (* K 0) into 0 0.554 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.554 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 0.554 * [backup-simplify]: Simplify (- M) into (- M) 0.554 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) 0.554 * [backup-simplify]: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) 0.554 * [backup-simplify]: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) 0.554 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 0.554 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 0.554 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 0.554 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 0.554 * [taylor]: Taking taylor expansion of 1/2 in K 0.554 * [backup-simplify]: Simplify 1/2 into 1/2 0.554 * [taylor]: Taking taylor expansion of (* K n) in K 0.554 * [taylor]: Taking taylor expansion of K in K 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of n in K 0.554 * [backup-simplify]: Simplify n into n 0.554 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 0.554 * [taylor]: Taking taylor expansion of 1/2 in K 0.554 * [backup-simplify]: Simplify 1/2 into 1/2 0.554 * [taylor]: Taking taylor expansion of (* K m) in K 0.554 * [taylor]: Taking taylor expansion of K in K 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of m in K 0.554 * [backup-simplify]: Simplify m into m 0.554 * [taylor]: Taking taylor expansion of M in K 0.554 * [backup-simplify]: Simplify M into M 0.555 * [backup-simplify]: Simplify (* 0 n) into 0 0.555 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.555 * [backup-simplify]: Simplify (* 0 m) into 0 0.555 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (- M) into (- M) 0.555 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 0.555 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.555 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.555 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M)) in K 0.556 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* K n)) (* 1/2 (* K m))) M) in K 0.556 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* K n)) (* 1/2 (* K m))) in K 0.556 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 0.556 * [taylor]: Taking taylor expansion of 1/2 in K 0.556 * [backup-simplify]: Simplify 1/2 into 1/2 0.556 * [taylor]: Taking taylor expansion of (* K n) in K 0.556 * [taylor]: Taking taylor expansion of K in K 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [taylor]: Taking taylor expansion of n in K 0.556 * [backup-simplify]: Simplify n into n 0.556 * [taylor]: Taking taylor expansion of (* 1/2 (* K m)) in K 0.556 * [taylor]: Taking taylor expansion of 1/2 in K 0.556 * [backup-simplify]: Simplify 1/2 into 1/2 0.556 * [taylor]: Taking taylor expansion of (* K m) in K 0.556 * [taylor]: Taking taylor expansion of K in K 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [taylor]: Taking taylor expansion of m in K 0.556 * [backup-simplify]: Simplify m into m 0.556 * [taylor]: Taking taylor expansion of M in K 0.556 * [backup-simplify]: Simplify M into M 0.556 * [backup-simplify]: Simplify (* 0 n) into 0 0.556 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.557 * [backup-simplify]: Simplify (* 0 m) into 0 0.557 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [backup-simplify]: Simplify (- M) into (- M) 0.557 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 0.557 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.558 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.558 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 0.558 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.558 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 0.558 * [taylor]: Taking taylor expansion of (cos (- M)) in m 0.558 * [taylor]: Taking taylor expansion of (- M) in m 0.558 * [taylor]: Taking taylor expansion of M in m 0.558 * [backup-simplify]: Simplify M into M 0.558 * [backup-simplify]: Simplify (- M) into (- M) 0.558 * [backup-simplify]: Simplify (- M) into (- M) 0.558 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.559 * [backup-simplify]: Simplify (- M) into (- M) 0.559 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.559 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 0.559 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 0.559 * [backup-simplify]: Simplify (- 0) into 0 0.559 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 0.559 * [taylor]: Taking taylor expansion of (cos (- M)) in n 0.559 * [taylor]: Taking taylor expansion of (- M) in n 0.559 * [taylor]: Taking taylor expansion of M in n 0.559 * [backup-simplify]: Simplify M into M 0.559 * [backup-simplify]: Simplify (- M) into (- M) 0.559 * [backup-simplify]: Simplify (- M) into (- M) 0.559 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.559 * [backup-simplify]: Simplify (- M) into (- M) 0.560 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.560 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 0.560 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 0.560 * [backup-simplify]: Simplify (- 0) into 0 0.560 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 0.560 * [taylor]: Taking taylor expansion of (cos (- M)) in M 0.560 * [taylor]: Taking taylor expansion of (- M) in M 0.560 * [taylor]: Taking taylor expansion of M in M 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (- 0) into 0 0.561 * [backup-simplify]: Simplify (- 1) into -1 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (+ 0) into 0 0.562 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 0.562 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.563 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) 0.563 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 m)) into m 0.564 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 0.564 * [backup-simplify]: Simplify (+ (* 1/2 n) (* 1/2 m)) into (+ (* 1/2 m) (* 1/2 n)) 0.564 * [backup-simplify]: Simplify (- 0) into 0 0.564 * [backup-simplify]: Simplify (+ (+ (* 1/2 m) (* 1/2 n)) 0) into (+ (* 1/2 m) (* 1/2 n)) 0.564 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) 0.565 * [backup-simplify]: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) 0.565 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 0.566 * [backup-simplify]: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) 0.566 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m 0.566 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m 0.566 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in m 0.566 * [taylor]: Taking taylor expansion of 1/2 in m 0.566 * [backup-simplify]: Simplify 1/2 into 1/2 0.566 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in m 0.566 * [taylor]: Taking taylor expansion of (sin (- M)) in m 0.566 * [taylor]: Taking taylor expansion of (- M) in m 0.566 * [taylor]: Taking taylor expansion of M in m 0.566 * [backup-simplify]: Simplify M into M 0.566 * [backup-simplify]: Simplify (- M) into (- M) 0.566 * [backup-simplify]: Simplify (- M) into (- M) 0.566 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.566 * [backup-simplify]: Simplify (- M) into (- M) 0.566 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.566 * [taylor]: Taking taylor expansion of n in m 0.566 * [backup-simplify]: Simplify n into n 0.566 * [taylor]: Taking taylor expansion of (* 1/2 (* m (sin (- M)))) in m 0.566 * [taylor]: Taking taylor expansion of 1/2 in m 0.566 * [backup-simplify]: Simplify 1/2 into 1/2 0.566 * [taylor]: Taking taylor expansion of (* m (sin (- M))) in m 0.566 * [taylor]: Taking taylor expansion of m in m 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of (sin (- M)) in m 0.566 * [taylor]: Taking taylor expansion of (- M) in m 0.566 * [taylor]: Taking taylor expansion of M in m 0.566 * [backup-simplify]: Simplify M into M 0.566 * [backup-simplify]: Simplify (- M) into (- M) 0.566 * [backup-simplify]: Simplify (- M) into (- M) 0.566 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.567 * [backup-simplify]: Simplify (- M) into (- M) 0.567 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.567 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 0.567 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 0.567 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 0.567 * [backup-simplify]: Simplify (* (sin (- M)) n) into (* (sin (- M)) n) 0.567 * [backup-simplify]: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) n)) 0.567 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 0.567 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 0.567 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 0.567 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 0.568 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.568 * [backup-simplify]: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) 0.568 * [backup-simplify]: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) 0.568 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n 0.568 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (- M)) n)) in n 0.568 * [taylor]: Taking taylor expansion of 1/2 in n 0.568 * [backup-simplify]: Simplify 1/2 into 1/2 0.568 * [taylor]: Taking taylor expansion of (* (sin (- M)) n) in n 0.568 * [taylor]: Taking taylor expansion of (sin (- M)) in n 0.568 * [taylor]: Taking taylor expansion of (- M) in n 0.568 * [taylor]: Taking taylor expansion of M in n 0.568 * [backup-simplify]: Simplify M into M 0.568 * [backup-simplify]: Simplify (- M) into (- M) 0.568 * [backup-simplify]: Simplify (- M) into (- M) 0.568 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.568 * [backup-simplify]: Simplify (- M) into (- M) 0.569 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.569 * [taylor]: Taking taylor expansion of n in n 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 0.569 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 0.569 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 0.569 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 0.569 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.570 * [backup-simplify]: Simplify (- 0) into 0 0.570 * [taylor]: Taking taylor expansion of 0 in M 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify (+ 0) into 0 0.571 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 0.571 * [backup-simplify]: Simplify (- 0) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.572 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 0.573 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [taylor]: Taking taylor expansion of 0 in n 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [taylor]: Taking taylor expansion of 0 in M 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ 0) into 0 0.574 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 0.575 * [backup-simplify]: Simplify (- 0) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.576 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 0.576 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [taylor]: Taking taylor expansion of 0 in M 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ 0) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) 0.579 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0.580 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 m))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 m) (* 0 0))) into 0 0.582 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (- 0) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.584 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 0.585 * [backup-simplify]: Simplify (- 0) into 0 0.586 * [backup-simplify]: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0.586 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m 0.586 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m 0.586 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m 0.586 * [taylor]: Taking taylor expansion of 1/8 in m 0.586 * [backup-simplify]: Simplify 1/8 into 1/8 0.586 * [taylor]: Taking taylor expansion of (* (pow m 2) (cos (- M))) in m 0.586 * [taylor]: Taking taylor expansion of (pow m 2) in m 0.586 * [taylor]: Taking taylor expansion of m in m 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [taylor]: Taking taylor expansion of (cos (- M)) in m 0.586 * [taylor]: Taking taylor expansion of (- M) in m 0.586 * [taylor]: Taking taylor expansion of M in m 0.586 * [backup-simplify]: Simplify M into M 0.586 * [backup-simplify]: Simplify (- M) into (- M) 0.586 * [backup-simplify]: Simplify (- M) into (- M) 0.586 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.586 * [backup-simplify]: Simplify (- M) into (- M) 0.586 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.586 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m 0.586 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m 0.586 * [taylor]: Taking taylor expansion of 1/8 in m 0.586 * [backup-simplify]: Simplify 1/8 into 1/8 0.586 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in m 0.586 * [taylor]: Taking taylor expansion of (cos (- M)) in m 0.586 * [taylor]: Taking taylor expansion of (- M) in m 0.586 * [taylor]: Taking taylor expansion of M in m 0.587 * [backup-simplify]: Simplify M into M 0.587 * [backup-simplify]: Simplify (- M) into (- M) 0.587 * [backup-simplify]: Simplify (- M) into (- M) 0.587 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.587 * [backup-simplify]: Simplify (- M) into (- M) 0.587 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.587 * [taylor]: Taking taylor expansion of (pow n 2) in m 0.587 * [taylor]: Taking taylor expansion of n in m 0.587 * [backup-simplify]: Simplify n into n 0.587 * [taylor]: Taking taylor expansion of (* 1/4 (* m (* (cos (- M)) n))) in m 0.587 * [taylor]: Taking taylor expansion of 1/4 in m 0.587 * [backup-simplify]: Simplify 1/4 into 1/4 0.587 * [taylor]: Taking taylor expansion of (* m (* (cos (- M)) n)) in m 0.587 * [taylor]: Taking taylor expansion of m in m 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of (* (cos (- M)) n) in m 0.587 * [taylor]: Taking taylor expansion of (cos (- M)) in m 0.587 * [taylor]: Taking taylor expansion of (- M) in m 0.588 * [taylor]: Taking taylor expansion of M in m 0.588 * [backup-simplify]: Simplify M into M 0.588 * [backup-simplify]: Simplify (- M) into (- M) 0.588 * [backup-simplify]: Simplify (- M) into (- M) 0.588 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.588 * [backup-simplify]: Simplify (- M) into (- M) 0.588 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.588 * [taylor]: Taking taylor expansion of n in m 0.588 * [backup-simplify]: Simplify n into n 0.588 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 0.588 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 0.589 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 0.589 * [backup-simplify]: Simplify (* n n) into (pow n 2) 0.589 * [backup-simplify]: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) 0.589 * [backup-simplify]: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 2))) 0.589 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 0.589 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 0.590 * [backup-simplify]: Simplify (- 0) into 0 0.590 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 0.590 * [backup-simplify]: Simplify (* (cos (- M)) n) into (* (cos (- M)) n) 0.590 * [backup-simplify]: Simplify (* 0 (* (cos (- M)) n)) into 0 0.590 * [backup-simplify]: Simplify (* 1/4 0) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) 0.591 * [backup-simplify]: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) 0.591 * [backup-simplify]: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) 0.591 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n 0.591 * [taylor]: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in n 0.591 * [taylor]: Taking taylor expansion of 1/8 in n 0.591 * [backup-simplify]: Simplify 1/8 into 1/8 0.591 * [taylor]: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in n 0.591 * [taylor]: Taking taylor expansion of (cos (- M)) in n 0.591 * [taylor]: Taking taylor expansion of (- M) in n 0.591 * [taylor]: Taking taylor expansion of M in n 0.591 * [backup-simplify]: Simplify M into M 0.591 * [backup-simplify]: Simplify (- M) into (- M) 0.591 * [backup-simplify]: Simplify (- M) into (- M) 0.591 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.591 * [backup-simplify]: Simplify (- M) into (- M) 0.591 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.591 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.591 * [taylor]: Taking taylor expansion of n in n 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (+ 0) into 0 0.592 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 0.593 * [backup-simplify]: Simplify (- 0) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.598 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 0.598 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 n)) into 0 0.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) into 0 0.599 * [backup-simplify]: Simplify (+ 0) into 0 0.600 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 0.600 * [backup-simplify]: Simplify (- 0) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 0.601 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 0.603 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 0.603 * [backup-simplify]: Simplify (+ 0 (* 1/2 (sin (- M)))) into (* 1/2 (sin (- M))) 0.603 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 0.603 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in n 0.603 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in n 0.603 * [taylor]: Taking taylor expansion of 1/2 in n 0.603 * [backup-simplify]: Simplify 1/2 into 1/2 0.603 * [taylor]: Taking taylor expansion of (sin (- M)) in n 0.603 * [taylor]: Taking taylor expansion of (- M) in n 0.603 * [taylor]: Taking taylor expansion of M in n 0.603 * [backup-simplify]: Simplify M into M 0.603 * [backup-simplify]: Simplify (- M) into (- M) 0.603 * [backup-simplify]: Simplify (- M) into (- M) 0.603 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 0.603 * [backup-simplify]: Simplify (- M) into (- M) 0.604 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 0.604 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 0.604 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 0.604 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 0.604 * [backup-simplify]: Simplify (* 1/2 (sin (- M))) into (* 1/2 (sin (- M))) 0.604 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 0.604 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 0.604 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 0.604 * [taylor]: Taking taylor expansion of 1/2 in M 0.604 * [backup-simplify]: Simplify 1/2 into 1/2 0.604 * [taylor]: Taking taylor expansion of (sin (- M)) in M 0.604 * [taylor]: Taking taylor expansion of (- M) in M 0.604 * [taylor]: Taking taylor expansion of M in M 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (- 0) into 0 0.605 * [backup-simplify]: Simplify (- 1) into -1 0.605 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.607 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 0.608 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 0.608 * [backup-simplify]: Simplify (- 0) into 0 0.609 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.609 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 0.610 * [backup-simplify]: Simplify (- 0) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [taylor]: Taking taylor expansion of 0 in n 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [taylor]: Taking taylor expansion of 0 in M 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (cos (- (* (/ (/ 1 K) 2) (+ (/ 1 m) (/ 1 n))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 0.611 * [approximate]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in (K m n M) around 0 0.611 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 0.611 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 0.611 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 0.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 0.611 * [taylor]: Taking taylor expansion of 1/2 in M 0.611 * [backup-simplify]: Simplify 1/2 into 1/2 0.611 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 0.611 * [taylor]: Taking taylor expansion of (* m K) in M 0.611 * [taylor]: Taking taylor expansion of m in M 0.611 * [backup-simplify]: Simplify m into m 0.611 * [taylor]: Taking taylor expansion of K in M 0.611 * [backup-simplify]: Simplify K into K 0.611 * [backup-simplify]: Simplify (* m K) into (* m K) 0.611 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 0.611 * [taylor]: Taking taylor expansion of 1/2 in M 0.611 * [backup-simplify]: Simplify 1/2 into 1/2 0.611 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 0.611 * [taylor]: Taking taylor expansion of (* K n) in M 0.611 * [taylor]: Taking taylor expansion of K in M 0.611 * [backup-simplify]: Simplify K into K 0.611 * [taylor]: Taking taylor expansion of n in M 0.611 * [backup-simplify]: Simplify n into n 0.611 * [backup-simplify]: Simplify (* K n) into (* K n) 0.612 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.612 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.612 * [taylor]: Taking taylor expansion of M in M 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (/ 1 1) into 1 0.612 * [backup-simplify]: Simplify (- 1) into -1 0.613 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.613 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 0.613 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 0.613 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 0.613 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 0.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 0.613 * [taylor]: Taking taylor expansion of 1/2 in n 0.613 * [backup-simplify]: Simplify 1/2 into 1/2 0.613 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 0.613 * [taylor]: Taking taylor expansion of (* m K) in n 0.613 * [taylor]: Taking taylor expansion of m in n 0.613 * [backup-simplify]: Simplify m into m 0.613 * [taylor]: Taking taylor expansion of K in n 0.614 * [backup-simplify]: Simplify K into K 0.614 * [backup-simplify]: Simplify (* m K) into (* m K) 0.614 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 0.614 * [taylor]: Taking taylor expansion of 1/2 in n 0.614 * [backup-simplify]: Simplify 1/2 into 1/2 0.614 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 0.614 * [taylor]: Taking taylor expansion of (* K n) in n 0.614 * [taylor]: Taking taylor expansion of K in n 0.614 * [backup-simplify]: Simplify K into K 0.614 * [taylor]: Taking taylor expansion of n in n 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [backup-simplify]: Simplify (* K 0) into 0 0.614 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 0.614 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.614 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.614 * [taylor]: Taking taylor expansion of M in n 0.614 * [backup-simplify]: Simplify M into M 0.615 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.615 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.615 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 0.615 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 0.615 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 0.615 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 0.615 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 0.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 0.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 0.615 * [taylor]: Taking taylor expansion of 1/2 in m 0.615 * [backup-simplify]: Simplify 1/2 into 1/2 0.615 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 0.615 * [taylor]: Taking taylor expansion of (* m K) in m 0.615 * [taylor]: Taking taylor expansion of m in m 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of K in m 0.615 * [backup-simplify]: Simplify K into K 0.616 * [backup-simplify]: Simplify (* 0 K) into 0 0.616 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 0.616 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 0.616 * [taylor]: Taking taylor expansion of 1/2 in m 0.616 * [backup-simplify]: Simplify 1/2 into 1/2 0.616 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 0.616 * [taylor]: Taking taylor expansion of (* K n) in m 0.616 * [taylor]: Taking taylor expansion of K in m 0.616 * [backup-simplify]: Simplify K into K 0.616 * [taylor]: Taking taylor expansion of n in m 0.616 * [backup-simplify]: Simplify n into n 0.616 * [backup-simplify]: Simplify (* K n) into (* K n) 0.616 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.616 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.616 * [taylor]: Taking taylor expansion of M in m 0.616 * [backup-simplify]: Simplify M into M 0.617 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.617 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.617 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 0.617 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 0.617 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 0.617 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 0.617 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 0.617 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 0.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 0.617 * [taylor]: Taking taylor expansion of 1/2 in K 0.617 * [backup-simplify]: Simplify 1/2 into 1/2 0.617 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 0.617 * [taylor]: Taking taylor expansion of (* m K) in K 0.617 * [taylor]: Taking taylor expansion of m in K 0.617 * [backup-simplify]: Simplify m into m 0.617 * [taylor]: Taking taylor expansion of K in K 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (* m 0) into 0 0.618 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 0.618 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 0.618 * [taylor]: Taking taylor expansion of 1/2 in K 0.618 * [backup-simplify]: Simplify 1/2 into 1/2 0.618 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 0.618 * [taylor]: Taking taylor expansion of (* K n) in K 0.618 * [taylor]: Taking taylor expansion of K in K 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of n in K 0.618 * [backup-simplify]: Simplify n into n 0.618 * [backup-simplify]: Simplify (* 0 n) into 0 0.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.619 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.619 * [taylor]: Taking taylor expansion of (/ 1 M) in K 0.619 * [taylor]: Taking taylor expansion of M in K 0.619 * [backup-simplify]: Simplify M into M 0.619 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.619 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 0.619 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.619 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.619 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.620 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 0.620 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K 0.620 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K 0.620 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 0.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 0.620 * [taylor]: Taking taylor expansion of 1/2 in K 0.620 * [backup-simplify]: Simplify 1/2 into 1/2 0.620 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 0.620 * [taylor]: Taking taylor expansion of (* m K) in K 0.620 * [taylor]: Taking taylor expansion of m in K 0.620 * [backup-simplify]: Simplify m into m 0.620 * [taylor]: Taking taylor expansion of K in K 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* m 0) into 0 0.620 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 0.620 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 0.621 * [taylor]: Taking taylor expansion of 1/2 in K 0.621 * [backup-simplify]: Simplify 1/2 into 1/2 0.621 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 0.621 * [taylor]: Taking taylor expansion of (* K n) in K 0.621 * [taylor]: Taking taylor expansion of K in K 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [taylor]: Taking taylor expansion of n in K 0.621 * [backup-simplify]: Simplify n into n 0.621 * [backup-simplify]: Simplify (* 0 n) into 0 0.621 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.621 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.621 * [taylor]: Taking taylor expansion of (/ 1 M) in K 0.621 * [taylor]: Taking taylor expansion of M in K 0.621 * [backup-simplify]: Simplify M into M 0.621 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.621 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 0.621 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.622 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.622 * [backup-simplify]: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.622 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 0.622 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in m 0.622 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in m 0.622 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 0.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 0.622 * [taylor]: Taking taylor expansion of 1/2 in m 0.622 * [backup-simplify]: Simplify 1/2 into 1/2 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 0.622 * [taylor]: Taking taylor expansion of (* m K) in m 0.622 * [taylor]: Taking taylor expansion of m in m 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [taylor]: Taking taylor expansion of K in m 0.623 * [backup-simplify]: Simplify K into K 0.623 * [backup-simplify]: Simplify (* 0 K) into 0 0.623 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 0.623 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 0.623 * [taylor]: Taking taylor expansion of 1/2 in m 0.623 * [backup-simplify]: Simplify 1/2 into 1/2 0.623 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 0.623 * [taylor]: Taking taylor expansion of (* K n) in m 0.623 * [taylor]: Taking taylor expansion of K in m 0.623 * [backup-simplify]: Simplify K into K 0.623 * [taylor]: Taking taylor expansion of n in m 0.623 * [backup-simplify]: Simplify n into n 0.623 * [backup-simplify]: Simplify (* K n) into (* K n) 0.624 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.624 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.624 * [taylor]: Taking taylor expansion of M in m 0.624 * [backup-simplify]: Simplify M into M 0.624 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.624 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.624 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 0.624 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 0.624 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 0.624 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n 0.624 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n 0.624 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 0.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 0.624 * [taylor]: Taking taylor expansion of 1/2 in n 0.624 * [backup-simplify]: Simplify 1/2 into 1/2 0.624 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 0.625 * [taylor]: Taking taylor expansion of (* m K) in n 0.625 * [taylor]: Taking taylor expansion of m in n 0.625 * [backup-simplify]: Simplify m into m 0.625 * [taylor]: Taking taylor expansion of K in n 0.625 * [backup-simplify]: Simplify K into K 0.625 * [backup-simplify]: Simplify (* m K) into (* m K) 0.625 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 0.625 * [taylor]: Taking taylor expansion of 1/2 in n 0.625 * [backup-simplify]: Simplify 1/2 into 1/2 0.625 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 0.625 * [taylor]: Taking taylor expansion of (* K n) in n 0.625 * [taylor]: Taking taylor expansion of K in n 0.625 * [backup-simplify]: Simplify K into K 0.625 * [taylor]: Taking taylor expansion of n in n 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (* K 0) into 0 0.626 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 0.626 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.626 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.626 * [taylor]: Taking taylor expansion of M in n 0.626 * [backup-simplify]: Simplify M into M 0.626 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.626 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.626 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 0.626 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) 0.626 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 0.626 * [taylor]: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M 0.626 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M 0.626 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 0.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 0.626 * [taylor]: Taking taylor expansion of 1/2 in M 0.627 * [backup-simplify]: Simplify 1/2 into 1/2 0.627 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 0.627 * [taylor]: Taking taylor expansion of (* m K) in M 0.627 * [taylor]: Taking taylor expansion of m in M 0.627 * [backup-simplify]: Simplify m into m 0.627 * [taylor]: Taking taylor expansion of K in M 0.627 * [backup-simplify]: Simplify K into K 0.627 * [backup-simplify]: Simplify (* m K) into (* m K) 0.627 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 0.627 * [taylor]: Taking taylor expansion of 1/2 in M 0.627 * [backup-simplify]: Simplify 1/2 into 1/2 0.627 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 0.627 * [taylor]: Taking taylor expansion of (* K n) in M 0.627 * [taylor]: Taking taylor expansion of K in M 0.627 * [backup-simplify]: Simplify K into K 0.627 * [taylor]: Taking taylor expansion of n in M 0.627 * [backup-simplify]: Simplify n into n 0.627 * [backup-simplify]: Simplify (* K n) into (* K n) 0.627 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.627 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.627 * [taylor]: Taking taylor expansion of M in M 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.628 * [backup-simplify]: Simplify (- 1) into -1 0.628 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.629 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 0.629 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 0.629 * [taylor]: Taking taylor expansion of 0 in m 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [taylor]: Taking taylor expansion of 0 in n 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [taylor]: Taking taylor expansion of 0 in M 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [taylor]: Taking taylor expansion of 0 in n 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [taylor]: Taking taylor expansion of 0 in M 0.629 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [taylor]: Taking taylor expansion of 0 in M 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [taylor]: Taking taylor expansion of 0 in m 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [taylor]: Taking taylor expansion of 0 in n 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [taylor]: Taking taylor expansion of 0 in M 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [taylor]: Taking taylor expansion of 0 in n 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [taylor]: Taking taylor expansion of 0 in M 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (cos (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n))))) (/ 1 (/ 1 M)))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 0.631 * [backup-simplify]: Simplify (cos (- (* (/ (/ 1 (- K)) 2) (+ (/ 1 (- m)) (/ 1 (- n)))) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 0.631 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in (K m n M) around 0 0.631 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 0.631 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.631 * [taylor]: Taking taylor expansion of M in M 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 0.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 0.632 * [taylor]: Taking taylor expansion of 1/2 in M 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.632 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 0.632 * [taylor]: Taking taylor expansion of (* m K) in M 0.632 * [taylor]: Taking taylor expansion of m in M 0.632 * [backup-simplify]: Simplify m into m 0.632 * [taylor]: Taking taylor expansion of K in M 0.632 * [backup-simplify]: Simplify K into K 0.632 * [backup-simplify]: Simplify (* m K) into (* m K) 0.632 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 0.632 * [taylor]: Taking taylor expansion of 1/2 in M 0.632 * [backup-simplify]: Simplify 1/2 into 1/2 0.632 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 0.632 * [taylor]: Taking taylor expansion of (* K n) in M 0.632 * [taylor]: Taking taylor expansion of K in M 0.632 * [backup-simplify]: Simplify K into K 0.632 * [taylor]: Taking taylor expansion of n in M 0.632 * [backup-simplify]: Simplify n into n 0.632 * [backup-simplify]: Simplify (* K n) into (* K n) 0.632 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.633 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 0.633 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 0.633 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 0.633 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.633 * [taylor]: Taking taylor expansion of M in n 0.633 * [backup-simplify]: Simplify M into M 0.633 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 0.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 0.633 * [taylor]: Taking taylor expansion of 1/2 in n 0.633 * [backup-simplify]: Simplify 1/2 into 1/2 0.634 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 0.634 * [taylor]: Taking taylor expansion of (* m K) in n 0.634 * [taylor]: Taking taylor expansion of m in n 0.634 * [backup-simplify]: Simplify m into m 0.634 * [taylor]: Taking taylor expansion of K in n 0.634 * [backup-simplify]: Simplify K into K 0.634 * [backup-simplify]: Simplify (* m K) into (* m K) 0.634 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 0.634 * [taylor]: Taking taylor expansion of 1/2 in n 0.634 * [backup-simplify]: Simplify 1/2 into 1/2 0.634 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 0.634 * [taylor]: Taking taylor expansion of (* K n) in n 0.634 * [taylor]: Taking taylor expansion of K in n 0.634 * [backup-simplify]: Simplify K into K 0.634 * [taylor]: Taking taylor expansion of n in n 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [backup-simplify]: Simplify (* K 0) into 0 0.635 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 0.635 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.635 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.635 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 0.635 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 0.635 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 0.635 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 0.635 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.635 * [taylor]: Taking taylor expansion of M in m 0.635 * [backup-simplify]: Simplify M into M 0.635 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.635 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 0.635 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 0.635 * [taylor]: Taking taylor expansion of 1/2 in m 0.636 * [backup-simplify]: Simplify 1/2 into 1/2 0.636 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 0.636 * [taylor]: Taking taylor expansion of (* m K) in m 0.636 * [taylor]: Taking taylor expansion of m in m 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [taylor]: Taking taylor expansion of K in m 0.636 * [backup-simplify]: Simplify K into K 0.636 * [backup-simplify]: Simplify (* 0 K) into 0 0.636 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 0.636 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 0.636 * [taylor]: Taking taylor expansion of 1/2 in m 0.636 * [backup-simplify]: Simplify 1/2 into 1/2 0.636 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 0.636 * [taylor]: Taking taylor expansion of (* K n) in m 0.636 * [taylor]: Taking taylor expansion of K in m 0.636 * [backup-simplify]: Simplify K into K 0.636 * [taylor]: Taking taylor expansion of n in m 0.637 * [backup-simplify]: Simplify n into n 0.637 * [backup-simplify]: Simplify (* K n) into (* K n) 0.637 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.637 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.637 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 0.637 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 0.638 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 0.638 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 0.638 * [taylor]: Taking taylor expansion of (/ 1 M) in K 0.638 * [taylor]: Taking taylor expansion of M in K 0.638 * [backup-simplify]: Simplify M into M 0.638 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.638 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 0.638 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 0.638 * [taylor]: Taking taylor expansion of 1/2 in K 0.638 * [backup-simplify]: Simplify 1/2 into 1/2 0.638 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 0.638 * [taylor]: Taking taylor expansion of (* m K) in K 0.638 * [taylor]: Taking taylor expansion of m in K 0.638 * [backup-simplify]: Simplify m into m 0.638 * [taylor]: Taking taylor expansion of K in K 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (* m 0) into 0 0.639 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 0.639 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 0.639 * [taylor]: Taking taylor expansion of 1/2 in K 0.639 * [backup-simplify]: Simplify 1/2 into 1/2 0.639 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 0.639 * [taylor]: Taking taylor expansion of (* K n) in K 0.639 * [taylor]: Taking taylor expansion of K in K 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.640 * [taylor]: Taking taylor expansion of n in K 0.640 * [backup-simplify]: Simplify n into n 0.640 * [backup-simplify]: Simplify (* 0 n) into 0 0.640 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.640 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.640 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 0.640 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.640 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.641 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.641 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 0.641 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K 0.641 * [taylor]: Taking taylor expansion of (/ 1 M) in K 0.641 * [taylor]: Taking taylor expansion of M in K 0.641 * [backup-simplify]: Simplify M into M 0.641 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.641 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K 0.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K 0.641 * [taylor]: Taking taylor expansion of 1/2 in K 0.641 * [backup-simplify]: Simplify 1/2 into 1/2 0.641 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in K 0.641 * [taylor]: Taking taylor expansion of (* m K) in K 0.641 * [taylor]: Taking taylor expansion of m in K 0.642 * [backup-simplify]: Simplify m into m 0.642 * [taylor]: Taking taylor expansion of K in K 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (* m 0) into 0 0.642 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 0.642 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 0.642 * [taylor]: Taking taylor expansion of 1/2 in K 0.642 * [backup-simplify]: Simplify 1/2 into 1/2 0.642 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 0.642 * [taylor]: Taking taylor expansion of (* K n) in K 0.642 * [taylor]: Taking taylor expansion of K in K 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [taylor]: Taking taylor expansion of n in K 0.642 * [backup-simplify]: Simplify n into n 0.643 * [backup-simplify]: Simplify (* 0 n) into 0 0.643 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 0.643 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.643 * [backup-simplify]: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) 0.643 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.643 * [backup-simplify]: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.643 * [backup-simplify]: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0.644 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 0.644 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in m 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in m 0.644 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.644 * [taylor]: Taking taylor expansion of M in m 0.644 * [backup-simplify]: Simplify M into M 0.644 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.644 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in m 0.644 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in m 0.644 * [taylor]: Taking taylor expansion of 1/2 in m 0.644 * [backup-simplify]: Simplify 1/2 into 1/2 0.644 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in m 0.644 * [taylor]: Taking taylor expansion of (* m K) in m 0.644 * [taylor]: Taking taylor expansion of m in m 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 1 into 1 0.644 * [taylor]: Taking taylor expansion of K in m 0.644 * [backup-simplify]: Simplify K into K 0.644 * [backup-simplify]: Simplify (* 0 K) into 0 0.645 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 0.645 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.645 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in m 0.645 * [taylor]: Taking taylor expansion of 1/2 in m 0.645 * [backup-simplify]: Simplify 1/2 into 1/2 0.645 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in m 0.645 * [taylor]: Taking taylor expansion of (* K n) in m 0.645 * [taylor]: Taking taylor expansion of K in m 0.645 * [backup-simplify]: Simplify K into K 0.645 * [taylor]: Taking taylor expansion of n in m 0.645 * [backup-simplify]: Simplify n into n 0.645 * [backup-simplify]: Simplify (* K n) into (* K n) 0.645 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.645 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.645 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 0.646 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 0.646 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 0.646 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n 0.646 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.646 * [taylor]: Taking taylor expansion of M in n 0.646 * [backup-simplify]: Simplify M into M 0.646 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.646 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n 0.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n 0.646 * [taylor]: Taking taylor expansion of 1/2 in n 0.646 * [backup-simplify]: Simplify 1/2 into 1/2 0.646 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in n 0.646 * [taylor]: Taking taylor expansion of (* m K) in n 0.646 * [taylor]: Taking taylor expansion of m in n 0.646 * [backup-simplify]: Simplify m into m 0.646 * [taylor]: Taking taylor expansion of K in n 0.646 * [backup-simplify]: Simplify K into K 0.646 * [backup-simplify]: Simplify (* m K) into (* m K) 0.646 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 0.646 * [taylor]: Taking taylor expansion of 1/2 in n 0.646 * [backup-simplify]: Simplify 1/2 into 1/2 0.647 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 0.647 * [taylor]: Taking taylor expansion of (* K n) in n 0.647 * [taylor]: Taking taylor expansion of K in n 0.647 * [backup-simplify]: Simplify K into K 0.647 * [taylor]: Taking taylor expansion of n in n 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (* K 0) into 0 0.647 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 0.647 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.647 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 0.647 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 0.647 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) 0.648 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 0.648 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M 0.648 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.648 * [taylor]: Taking taylor expansion of M in M 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [backup-simplify]: Simplify (/ 1 1) into 1 0.648 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M 0.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M 0.648 * [taylor]: Taking taylor expansion of 1/2 in M 0.649 * [backup-simplify]: Simplify 1/2 into 1/2 0.649 * [taylor]: Taking taylor expansion of (/ 1 (* m K)) in M 0.649 * [taylor]: Taking taylor expansion of (* m K) in M 0.649 * [taylor]: Taking taylor expansion of m in M 0.649 * [backup-simplify]: Simplify m into m 0.649 * [taylor]: Taking taylor expansion of K in M 0.649 * [backup-simplify]: Simplify K into K 0.649 * [backup-simplify]: Simplify (* m K) into (* m K) 0.649 * [backup-simplify]: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) 0.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 0.649 * [taylor]: Taking taylor expansion of 1/2 in M 0.649 * [backup-simplify]: Simplify 1/2 into 1/2 0.649 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 0.649 * [taylor]: Taking taylor expansion of (* K n) in M 0.649 * [taylor]: Taking taylor expansion of K in M 0.649 * [backup-simplify]: Simplify K into K 0.649 * [taylor]: Taking taylor expansion of n in M 0.649 * [backup-simplify]: Simplify n into n 0.649 * [backup-simplify]: Simplify (* K n) into (* K n) 0.649 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 0.650 * [backup-simplify]: Simplify (+ 1 0) into 1 0.650 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 0.650 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 0.650 * [taylor]: Taking taylor expansion of 0 in m 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [taylor]: Taking taylor expansion of 0 in n 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [taylor]: Taking taylor expansion of 0 in M 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [taylor]: Taking taylor expansion of 0 in n 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [taylor]: Taking taylor expansion of 0 in M 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [taylor]: Taking taylor expansion of 0 in M 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [taylor]: Taking taylor expansion of 0 in m 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [taylor]: Taking taylor expansion of 0 in n 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [taylor]: Taking taylor expansion of 0 in M 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [taylor]: Taking taylor expansion of 0 in n 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [taylor]: Taking taylor expansion of 0 in M 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n)))))))) into (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 0.652 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.652 * [backup-simplify]: Simplify (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) into (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) 0.652 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in (m n M l) around 0 0.652 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in l 0.652 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.652 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in l 0.652 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 0.652 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 0.652 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 0.652 * [taylor]: Taking taylor expansion of 1/2 in l 0.652 * [backup-simplify]: Simplify 1/2 into 1/2 0.652 * [taylor]: Taking taylor expansion of m in l 0.652 * [backup-simplify]: Simplify m into m 0.652 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 0.653 * [taylor]: Taking taylor expansion of 1/2 in l 0.653 * [backup-simplify]: Simplify 1/2 into 1/2 0.653 * [taylor]: Taking taylor expansion of n in l 0.653 * [backup-simplify]: Simplify n into n 0.653 * [taylor]: Taking taylor expansion of M in l 0.653 * [backup-simplify]: Simplify M into M 0.653 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 0.653 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 0.653 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 0.653 * [taylor]: Taking taylor expansion of 1/2 in l 0.653 * [backup-simplify]: Simplify 1/2 into 1/2 0.653 * [taylor]: Taking taylor expansion of m in l 0.653 * [backup-simplify]: Simplify m into m 0.653 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 0.653 * [taylor]: Taking taylor expansion of 1/2 in l 0.653 * [backup-simplify]: Simplify 1/2 into 1/2 0.653 * [taylor]: Taking taylor expansion of n in l 0.653 * [backup-simplify]: Simplify n into n 0.653 * [taylor]: Taking taylor expansion of M in l 0.653 * [backup-simplify]: Simplify M into M 0.653 * [taylor]: Taking taylor expansion of l in l 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in M 0.653 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.653 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in M 0.653 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 0.653 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 0.653 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 0.653 * [taylor]: Taking taylor expansion of 1/2 in M 0.653 * [backup-simplify]: Simplify 1/2 into 1/2 0.653 * [taylor]: Taking taylor expansion of m in M 0.653 * [backup-simplify]: Simplify m into m 0.653 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 0.653 * [taylor]: Taking taylor expansion of 1/2 in M 0.653 * [backup-simplify]: Simplify 1/2 into 1/2 0.653 * [taylor]: Taking taylor expansion of n in M 0.654 * [backup-simplify]: Simplify n into n 0.654 * [taylor]: Taking taylor expansion of M in M 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 0.654 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 0.654 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 0.654 * [taylor]: Taking taylor expansion of 1/2 in M 0.654 * [backup-simplify]: Simplify 1/2 into 1/2 0.654 * [taylor]: Taking taylor expansion of m in M 0.654 * [backup-simplify]: Simplify m into m 0.654 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 0.654 * [taylor]: Taking taylor expansion of 1/2 in M 0.654 * [backup-simplify]: Simplify 1/2 into 1/2 0.654 * [taylor]: Taking taylor expansion of n in M 0.654 * [backup-simplify]: Simplify n into n 0.654 * [taylor]: Taking taylor expansion of M in M 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [taylor]: Taking taylor expansion of l in M 0.654 * [backup-simplify]: Simplify l into l 0.654 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in n 0.654 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.654 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in n 0.654 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 0.654 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 0.654 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 0.654 * [taylor]: Taking taylor expansion of 1/2 in n 0.654 * [backup-simplify]: Simplify 1/2 into 1/2 0.654 * [taylor]: Taking taylor expansion of m in n 0.654 * [backup-simplify]: Simplify m into m 0.654 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 0.654 * [taylor]: Taking taylor expansion of 1/2 in n 0.654 * [backup-simplify]: Simplify 1/2 into 1/2 0.654 * [taylor]: Taking taylor expansion of n in n 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [taylor]: Taking taylor expansion of M in n 0.654 * [backup-simplify]: Simplify M into M 0.655 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 0.655 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 0.655 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 0.655 * [taylor]: Taking taylor expansion of 1/2 in n 0.655 * [backup-simplify]: Simplify 1/2 into 1/2 0.655 * [taylor]: Taking taylor expansion of m in n 0.655 * [backup-simplify]: Simplify m into m 0.655 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 0.655 * [taylor]: Taking taylor expansion of 1/2 in n 0.655 * [backup-simplify]: Simplify 1/2 into 1/2 0.655 * [taylor]: Taking taylor expansion of n in n 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [taylor]: Taking taylor expansion of M in n 0.655 * [backup-simplify]: Simplify M into M 0.655 * [taylor]: Taking taylor expansion of l in n 0.655 * [backup-simplify]: Simplify l into l 0.655 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 0.655 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.655 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 0.655 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 0.655 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.655 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.655 * [taylor]: Taking taylor expansion of 1/2 in m 0.655 * [backup-simplify]: Simplify 1/2 into 1/2 0.655 * [taylor]: Taking taylor expansion of m in m 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.655 * [taylor]: Taking taylor expansion of 1/2 in m 0.655 * [backup-simplify]: Simplify 1/2 into 1/2 0.655 * [taylor]: Taking taylor expansion of n in m 0.655 * [backup-simplify]: Simplify n into n 0.655 * [taylor]: Taking taylor expansion of M in m 0.655 * [backup-simplify]: Simplify M into M 0.655 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 0.655 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.655 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.656 * [taylor]: Taking taylor expansion of 1/2 in m 0.656 * [backup-simplify]: Simplify 1/2 into 1/2 0.656 * [taylor]: Taking taylor expansion of m in m 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.656 * [taylor]: Taking taylor expansion of 1/2 in m 0.656 * [backup-simplify]: Simplify 1/2 into 1/2 0.656 * [taylor]: Taking taylor expansion of n in m 0.656 * [backup-simplify]: Simplify n into n 0.656 * [taylor]: Taking taylor expansion of M in m 0.656 * [backup-simplify]: Simplify M into M 0.656 * [taylor]: Taking taylor expansion of l in m 0.656 * [backup-simplify]: Simplify l into l 0.656 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 0.656 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.656 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 0.656 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 0.656 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.656 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.656 * [taylor]: Taking taylor expansion of 1/2 in m 0.656 * [backup-simplify]: Simplify 1/2 into 1/2 0.656 * [taylor]: Taking taylor expansion of m in m 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.656 * [taylor]: Taking taylor expansion of 1/2 in m 0.656 * [backup-simplify]: Simplify 1/2 into 1/2 0.656 * [taylor]: Taking taylor expansion of n in m 0.656 * [backup-simplify]: Simplify n into n 0.656 * [taylor]: Taking taylor expansion of M in m 0.656 * [backup-simplify]: Simplify M into M 0.656 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 0.656 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.656 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.656 * [taylor]: Taking taylor expansion of 1/2 in m 0.656 * [backup-simplify]: Simplify 1/2 into 1/2 0.657 * [taylor]: Taking taylor expansion of m in m 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.657 * [taylor]: Taking taylor expansion of 1/2 in m 0.657 * [backup-simplify]: Simplify 1/2 into 1/2 0.657 * [taylor]: Taking taylor expansion of n in m 0.657 * [backup-simplify]: Simplify n into n 0.657 * [taylor]: Taking taylor expansion of M in m 0.657 * [backup-simplify]: Simplify M into M 0.657 * [taylor]: Taking taylor expansion of l in m 0.657 * [backup-simplify]: Simplify l into l 0.658 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.658 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 0.658 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 0.658 * [backup-simplify]: Simplify (- M) into (- M) 0.658 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 0.659 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.659 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 0.659 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 0.659 * [backup-simplify]: Simplify (- M) into (- M) 0.659 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 0.659 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 0.659 * [backup-simplify]: Simplify (+ (pow (- (* 1/2 n) M) 2) l) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) 0.659 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) in n 0.659 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) in n 0.659 * [taylor]: Taking taylor expansion of (pow M 2) in n 0.659 * [taylor]: Taking taylor expansion of M in n 0.659 * [backup-simplify]: Simplify M into M 0.659 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 0.660 * [taylor]: Taking taylor expansion of l in n 0.660 * [backup-simplify]: Simplify l into l 0.660 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 0.660 * [taylor]: Taking taylor expansion of 1/4 in n 0.660 * [backup-simplify]: Simplify 1/4 into 1/4 0.660 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [taylor]: Taking taylor expansion of (* M n) in n 0.660 * [taylor]: Taking taylor expansion of M in n 0.660 * [backup-simplify]: Simplify M into M 0.660 * [taylor]: Taking taylor expansion of n in n 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify (* M M) into (pow M 2) 0.660 * [backup-simplify]: Simplify (+ l 0) into l 0.660 * [backup-simplify]: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) 0.660 * [backup-simplify]: Simplify (* M 0) into 0 0.661 * [backup-simplify]: Simplify (- 0) into 0 0.661 * [backup-simplify]: Simplify (+ (+ (pow M 2) l) 0) into (+ (pow M 2) l) 0.661 * [taylor]: Taking taylor expansion of (+ (pow M 2) l) in M 0.661 * [taylor]: Taking taylor expansion of (pow M 2) in M 0.661 * [taylor]: Taking taylor expansion of M in M 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [taylor]: Taking taylor expansion of l in M 0.661 * [backup-simplify]: Simplify l into l 0.661 * [backup-simplify]: Simplify (+ 0 l) into l 0.661 * [taylor]: Taking taylor expansion of l in l 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 0.663 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.663 * [backup-simplify]: Simplify (- 0) into 0 0.664 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.665 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 0.666 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.666 * [backup-simplify]: Simplify (- 0) into 0 0.666 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.667 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 0.667 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 0.667 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 0.667 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 0.667 * [taylor]: Taking taylor expansion of 1/2 in n 0.667 * [backup-simplify]: Simplify 1/2 into 1/2 0.667 * [taylor]: Taking taylor expansion of n in n 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [taylor]: Taking taylor expansion of M in n 0.667 * [backup-simplify]: Simplify M into M 0.668 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.668 * [backup-simplify]: Simplify (- M) into (- M) 0.668 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 0.668 * [taylor]: Taking taylor expansion of (- M) in M 0.668 * [taylor]: Taking taylor expansion of M in M 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [taylor]: Taking taylor expansion of 0 in l 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 0.670 * [backup-simplify]: Simplify (- M) into (- M) 0.670 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 0.670 * [taylor]: Taking taylor expansion of (- M) in M 0.670 * [taylor]: Taking taylor expansion of M in M 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [taylor]: Taking taylor expansion of 0 in l 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [taylor]: Taking taylor expansion of 0 in l 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.674 * [backup-simplify]: Simplify (- 0) into 0 0.674 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (- 0) into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 0.678 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.678 * [taylor]: Taking taylor expansion of 1/4 in n 0.678 * [backup-simplify]: Simplify 1/4 into 1/4 0.678 * [taylor]: Taking taylor expansion of 1/4 in M 0.678 * [backup-simplify]: Simplify 1/4 into 1/4 0.678 * [taylor]: Taking taylor expansion of 1/4 in l 0.678 * [backup-simplify]: Simplify 1/4 into 1/4 0.678 * [backup-simplify]: Simplify 1/4 into 1/4 0.679 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.679 * [backup-simplify]: Simplify (- 0) into 0 0.680 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.680 * [taylor]: Taking taylor expansion of 1/2 in M 0.680 * [backup-simplify]: Simplify 1/2 into 1/2 0.680 * [taylor]: Taking taylor expansion of 1/2 in l 0.680 * [backup-simplify]: Simplify 1/2 into 1/2 0.680 * [backup-simplify]: Simplify 1/2 into 1/2 0.681 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* 1 (* n m)))) (+ (* 1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (* 1 (* l (* 1 (* 1 1)))))) into (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 0.681 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (/ 1 l)) into (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) 0.681 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in (m n M l) around 0 0.681 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in l 0.681 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.681 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in l 0.682 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 0.682 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 0.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 0.682 * [taylor]: Taking taylor expansion of 1/2 in l 0.682 * [backup-simplify]: Simplify 1/2 into 1/2 0.682 * [taylor]: Taking taylor expansion of (/ 1 m) in l 0.682 * [taylor]: Taking taylor expansion of m in l 0.682 * [backup-simplify]: Simplify m into m 0.682 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 0.682 * [taylor]: Taking taylor expansion of 1/2 in l 0.682 * [backup-simplify]: Simplify 1/2 into 1/2 0.682 * [taylor]: Taking taylor expansion of (/ 1 n) in l 0.682 * [taylor]: Taking taylor expansion of n in l 0.682 * [backup-simplify]: Simplify n into n 0.682 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.682 * [taylor]: Taking taylor expansion of (/ 1 M) in l 0.682 * [taylor]: Taking taylor expansion of M in l 0.682 * [backup-simplify]: Simplify M into M 0.682 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.682 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 0.682 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 0.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 0.682 * [taylor]: Taking taylor expansion of 1/2 in l 0.682 * [backup-simplify]: Simplify 1/2 into 1/2 0.682 * [taylor]: Taking taylor expansion of (/ 1 m) in l 0.682 * [taylor]: Taking taylor expansion of m in l 0.682 * [backup-simplify]: Simplify m into m 0.682 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 0.682 * [taylor]: Taking taylor expansion of 1/2 in l 0.682 * [backup-simplify]: Simplify 1/2 into 1/2 0.682 * [taylor]: Taking taylor expansion of (/ 1 n) in l 0.682 * [taylor]: Taking taylor expansion of n in l 0.683 * [backup-simplify]: Simplify n into n 0.683 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.683 * [taylor]: Taking taylor expansion of (/ 1 M) in l 0.683 * [taylor]: Taking taylor expansion of M in l 0.683 * [backup-simplify]: Simplify M into M 0.683 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.683 * [taylor]: Taking taylor expansion of (/ 1 l) in l 0.683 * [taylor]: Taking taylor expansion of l in l 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (/ 1 1) into 1 0.683 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in M 0.683 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.683 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in M 0.683 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 0.683 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 0.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 0.683 * [taylor]: Taking taylor expansion of 1/2 in M 0.683 * [backup-simplify]: Simplify 1/2 into 1/2 0.684 * [taylor]: Taking taylor expansion of (/ 1 m) in M 0.684 * [taylor]: Taking taylor expansion of m in M 0.684 * [backup-simplify]: Simplify m into m 0.684 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 0.684 * [taylor]: Taking taylor expansion of 1/2 in M 0.684 * [backup-simplify]: Simplify 1/2 into 1/2 0.684 * [taylor]: Taking taylor expansion of (/ 1 n) in M 0.684 * [taylor]: Taking taylor expansion of n in M 0.684 * [backup-simplify]: Simplify n into n 0.684 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.684 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.684 * [taylor]: Taking taylor expansion of M in M 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (/ 1 1) into 1 0.684 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 0.684 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 0.684 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 0.685 * [taylor]: Taking taylor expansion of 1/2 in M 0.685 * [backup-simplify]: Simplify 1/2 into 1/2 0.685 * [taylor]: Taking taylor expansion of (/ 1 m) in M 0.685 * [taylor]: Taking taylor expansion of m in M 0.685 * [backup-simplify]: Simplify m into m 0.685 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 0.685 * [taylor]: Taking taylor expansion of 1/2 in M 0.685 * [backup-simplify]: Simplify 1/2 into 1/2 0.685 * [taylor]: Taking taylor expansion of (/ 1 n) in M 0.685 * [taylor]: Taking taylor expansion of n in M 0.685 * [backup-simplify]: Simplify n into n 0.685 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.685 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.685 * [taylor]: Taking taylor expansion of M in M 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.685 * [taylor]: Taking taylor expansion of (/ 1 l) in M 0.685 * [taylor]: Taking taylor expansion of l in M 0.685 * [backup-simplify]: Simplify l into l 0.686 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.686 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in n 0.686 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.686 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in n 0.686 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 0.686 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 0.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 0.686 * [taylor]: Taking taylor expansion of 1/2 in n 0.686 * [backup-simplify]: Simplify 1/2 into 1/2 0.686 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.686 * [taylor]: Taking taylor expansion of m in n 0.686 * [backup-simplify]: Simplify m into m 0.686 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.686 * [taylor]: Taking taylor expansion of 1/2 in n 0.686 * [backup-simplify]: Simplify 1/2 into 1/2 0.686 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.686 * [taylor]: Taking taylor expansion of n in n 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (/ 1 1) into 1 0.687 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.687 * [taylor]: Taking taylor expansion of M in n 0.687 * [backup-simplify]: Simplify M into M 0.687 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.687 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 0.687 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 0.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 0.687 * [taylor]: Taking taylor expansion of 1/2 in n 0.687 * [backup-simplify]: Simplify 1/2 into 1/2 0.687 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.687 * [taylor]: Taking taylor expansion of m in n 0.687 * [backup-simplify]: Simplify m into m 0.687 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.687 * [taylor]: Taking taylor expansion of 1/2 in n 0.687 * [backup-simplify]: Simplify 1/2 into 1/2 0.687 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.687 * [taylor]: Taking taylor expansion of n in n 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.688 * [taylor]: Taking taylor expansion of M in n 0.688 * [backup-simplify]: Simplify M into M 0.688 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.688 * [taylor]: Taking taylor expansion of (/ 1 l) in n 0.688 * [taylor]: Taking taylor expansion of l in n 0.688 * [backup-simplify]: Simplify l into l 0.688 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.688 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 0.688 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.688 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 0.688 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 0.688 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.688 * [taylor]: Taking taylor expansion of 1/2 in m 0.688 * [backup-simplify]: Simplify 1/2 into 1/2 0.688 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.688 * [taylor]: Taking taylor expansion of m in m 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (/ 1 1) into 1 0.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.689 * [taylor]: Taking taylor expansion of 1/2 in m 0.689 * [backup-simplify]: Simplify 1/2 into 1/2 0.689 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.689 * [taylor]: Taking taylor expansion of n in m 0.689 * [backup-simplify]: Simplify n into n 0.689 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.689 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.689 * [taylor]: Taking taylor expansion of M in m 0.689 * [backup-simplify]: Simplify M into M 0.689 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.689 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 0.689 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.689 * [taylor]: Taking taylor expansion of 1/2 in m 0.689 * [backup-simplify]: Simplify 1/2 into 1/2 0.689 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.689 * [taylor]: Taking taylor expansion of m in m 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.690 * [taylor]: Taking taylor expansion of 1/2 in m 0.690 * [backup-simplify]: Simplify 1/2 into 1/2 0.690 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.690 * [taylor]: Taking taylor expansion of n in m 0.690 * [backup-simplify]: Simplify n into n 0.690 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.690 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.690 * [taylor]: Taking taylor expansion of M in m 0.690 * [backup-simplify]: Simplify M into M 0.690 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.690 * [taylor]: Taking taylor expansion of (/ 1 l) in m 0.690 * [taylor]: Taking taylor expansion of l in m 0.690 * [backup-simplify]: Simplify l into l 0.690 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.690 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 0.690 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.690 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 0.690 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 0.690 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.690 * [taylor]: Taking taylor expansion of 1/2 in m 0.691 * [backup-simplify]: Simplify 1/2 into 1/2 0.691 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.691 * [taylor]: Taking taylor expansion of m in m 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.691 * [taylor]: Taking taylor expansion of 1/2 in m 0.691 * [backup-simplify]: Simplify 1/2 into 1/2 0.691 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.691 * [taylor]: Taking taylor expansion of n in m 0.691 * [backup-simplify]: Simplify n into n 0.691 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.691 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.691 * [taylor]: Taking taylor expansion of M in m 0.691 * [backup-simplify]: Simplify M into M 0.691 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.691 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 0.691 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.692 * [taylor]: Taking taylor expansion of 1/2 in m 0.692 * [backup-simplify]: Simplify 1/2 into 1/2 0.692 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.692 * [taylor]: Taking taylor expansion of m in m 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify (/ 1 1) into 1 0.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.692 * [taylor]: Taking taylor expansion of 1/2 in m 0.692 * [backup-simplify]: Simplify 1/2 into 1/2 0.692 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.692 * [taylor]: Taking taylor expansion of n in m 0.692 * [backup-simplify]: Simplify n into n 0.692 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.692 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.692 * [taylor]: Taking taylor expansion of M in m 0.692 * [backup-simplify]: Simplify M into M 0.692 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.692 * [taylor]: Taking taylor expansion of (/ 1 l) in m 0.692 * [taylor]: Taking taylor expansion of l in m 0.693 * [backup-simplify]: Simplify l into l 0.693 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.693 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.694 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.694 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.694 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.695 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.695 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.696 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 0.696 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.696 * [taylor]: Taking taylor expansion of 1/4 in n 0.696 * [backup-simplify]: Simplify 1/4 into 1/4 0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.698 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.698 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 0.699 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.699 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.700 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.700 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 0.700 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.701 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.701 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.701 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.701 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 0.701 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.701 * [taylor]: Taking taylor expansion of 1/2 in n 0.701 * [backup-simplify]: Simplify 1/2 into 1/2 0.701 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.701 * [taylor]: Taking taylor expansion of n in n 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (/ 1 1) into 1 0.702 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.702 * [taylor]: Taking taylor expansion of M in n 0.702 * [backup-simplify]: Simplify M into M 0.702 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.705 * [backup-simplify]: Simplify (- 0) into 0 0.706 * [backup-simplify]: Simplify (+ 0 0) into 0 0.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.709 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 0.711 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ 1 l)) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) 0.711 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) in n 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) in n 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 0.711 * [taylor]: Taking taylor expansion of (pow M 2) in n 0.711 * [taylor]: Taking taylor expansion of M in n 0.711 * [backup-simplify]: Simplify M into M 0.711 * [backup-simplify]: Simplify (* M M) into (pow M 2) 0.711 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 0.711 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l)) in n 0.711 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 0.712 * [taylor]: Taking taylor expansion of 1/4 in n 0.712 * [backup-simplify]: Simplify 1/4 into 1/4 0.712 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.712 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.712 * [taylor]: Taking taylor expansion of n in n 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 1 into 1 0.712 * [backup-simplify]: Simplify (* 1 1) into 1 0.712 * [backup-simplify]: Simplify (/ 1 1) into 1 0.713 * [taylor]: Taking taylor expansion of (/ 1 l) in n 0.713 * [taylor]: Taking taylor expansion of l in n 0.713 * [backup-simplify]: Simplify l into l 0.713 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.713 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 0.713 * [taylor]: Taking taylor expansion of (* M n) in n 0.713 * [taylor]: Taking taylor expansion of M in n 0.713 * [backup-simplify]: Simplify M into M 0.713 * [taylor]: Taking taylor expansion of n in n 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (* M 0) into 0 0.713 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 0.713 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.714 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.714 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.715 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.715 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.715 * [taylor]: Taking taylor expansion of 1/4 in M 0.715 * [backup-simplify]: Simplify 1/4 into 1/4 0.716 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.716 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.716 * [taylor]: Taking taylor expansion of 1/2 in M 0.716 * [backup-simplify]: Simplify 1/2 into 1/2 0.716 * [taylor]: Taking taylor expansion of 1/4 in M 0.716 * [backup-simplify]: Simplify 1/4 into 1/4 0.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.720 * [backup-simplify]: Simplify (- 0) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [taylor]: Taking taylor expansion of 0 in n 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.730 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 0.730 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 0.730 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.730 * [taylor]: Taking taylor expansion of M in M 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.732 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.732 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 0.732 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 0.732 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.732 * [taylor]: Taking taylor expansion of M in M 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [taylor]: Taking taylor expansion of 0 in M 0.733 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 0.736 * [backup-simplify]: Simplify (+ 0 0) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.737 * [backup-simplify]: Simplify (- 0) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.740 * [backup-simplify]: Simplify (- 0) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [taylor]: Taking taylor expansion of 0 in n 0.741 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.743 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 0.743 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1 l)) into (+ (/ 1 (pow M 2)) (/ 1 l)) 0.743 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.744 * [backup-simplify]: Simplify (- 0) into 0 0.744 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (/ 1 l)) 0) into (+ (/ 1 (pow M 2)) (/ 1 l)) 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (/ 1 l)) in M 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 0.744 * [taylor]: Taking taylor expansion of (pow M 2) in M 0.744 * [taylor]: Taking taylor expansion of M in M 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (* 1 1) into 1 0.747 * [backup-simplify]: Simplify (/ 1 1) into 1 0.747 * [taylor]: Taking taylor expansion of (/ 1 l) in M 0.747 * [taylor]: Taking taylor expansion of l in M 0.747 * [backup-simplify]: Simplify l into l 0.747 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.748 * [backup-simplify]: Simplify (+ 1 0) into 1 0.748 * [taylor]: Taking taylor expansion of 1 in l 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.749 * [backup-simplify]: Simplify (- 0) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [taylor]: Taking taylor expansion of 0 in M 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [taylor]: Taking taylor expansion of 0 in M 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify (- 1) into -1 0.750 * [taylor]: Taking taylor expansion of -1 in l 0.750 * [backup-simplify]: Simplify -1 into -1 0.750 * [backup-simplify]: Simplify (- 1) into -1 0.750 * [taylor]: Taking taylor expansion of -1 in l 0.750 * [backup-simplify]: Simplify -1 into -1 0.750 * [taylor]: Taking taylor expansion of 1/4 in l 0.750 * [backup-simplify]: Simplify 1/4 into 1/4 0.750 * [taylor]: Taking taylor expansion of 1/2 in l 0.750 * [backup-simplify]: Simplify 1/2 into 1/2 0.750 * [taylor]: Taking taylor expansion of 1/4 in l 0.750 * [backup-simplify]: Simplify 1/4 into 1/4 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.754 * [backup-simplify]: Simplify (- 0) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 0.757 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.757 * [backup-simplify]: Simplify (- 0) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))))) into 0 0.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.760 * [taylor]: Taking taylor expansion of 0 in n 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [taylor]: Taking taylor expansion of 0 in M 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.763 * [backup-simplify]: Simplify (- 0) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [taylor]: Taking taylor expansion of 0 in M 0.763 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.766 * [backup-simplify]: Simplify (- 0) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [taylor]: Taking taylor expansion of 0 in M 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [taylor]: Taking taylor expansion of 0 in M 0.766 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [taylor]: Taking taylor expansion of 0 in l 0.768 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (- 0) into 0 0.769 * [taylor]: Taking taylor expansion of 0 in l 0.769 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (- 0) into 0 0.770 * [taylor]: Taking taylor expansion of 0 in l 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [taylor]: Taking taylor expansion of 0 in l 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [taylor]: Taking taylor expansion of 0 in l 0.770 * [backup-simplify]: Simplify 0 into 0 0.771 * [taylor]: Taking taylor expansion of 0 in l 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [taylor]: Taking taylor expansion of 0 in l 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 1 into 1 0.771 * [backup-simplify]: Simplify -1 into -1 0.771 * [backup-simplify]: Simplify -1 into -1 0.772 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m)))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 M)) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 0.772 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (/ 1 (- l))) into (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) 0.772 * [approximate]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in (m n M l) around 0 0.772 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in l 0.773 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 0.773 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in l 0.773 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 0.773 * [taylor]: Taking taylor expansion of (/ 1 M) in l 0.773 * [taylor]: Taking taylor expansion of M in l 0.773 * [backup-simplify]: Simplify M into M 0.773 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.773 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 0.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 0.773 * [taylor]: Taking taylor expansion of 1/2 in l 0.773 * [backup-simplify]: Simplify 1/2 into 1/2 0.773 * [taylor]: Taking taylor expansion of (/ 1 m) in l 0.773 * [taylor]: Taking taylor expansion of m in l 0.773 * [backup-simplify]: Simplify m into m 0.773 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 0.773 * [taylor]: Taking taylor expansion of 1/2 in l 0.773 * [backup-simplify]: Simplify 1/2 into 1/2 0.773 * [taylor]: Taking taylor expansion of (/ 1 n) in l 0.773 * [taylor]: Taking taylor expansion of n in l 0.773 * [backup-simplify]: Simplify n into n 0.773 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.773 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 0.773 * [taylor]: Taking taylor expansion of (/ 1 M) in l 0.773 * [taylor]: Taking taylor expansion of M in l 0.773 * [backup-simplify]: Simplify M into M 0.773 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.773 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 0.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 0.773 * [taylor]: Taking taylor expansion of 1/2 in l 0.773 * [backup-simplify]: Simplify 1/2 into 1/2 0.773 * [taylor]: Taking taylor expansion of (/ 1 m) in l 0.774 * [taylor]: Taking taylor expansion of m in l 0.774 * [backup-simplify]: Simplify m into m 0.774 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 0.774 * [taylor]: Taking taylor expansion of 1/2 in l 0.774 * [backup-simplify]: Simplify 1/2 into 1/2 0.774 * [taylor]: Taking taylor expansion of (/ 1 n) in l 0.774 * [taylor]: Taking taylor expansion of n in l 0.774 * [backup-simplify]: Simplify n into n 0.774 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.774 * [taylor]: Taking taylor expansion of (/ -1 l) in l 0.774 * [taylor]: Taking taylor expansion of -1 in l 0.774 * [backup-simplify]: Simplify -1 into -1 0.774 * [taylor]: Taking taylor expansion of l in l 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (/ -1 1) into -1 0.774 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in M 0.775 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 0.775 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in M 0.775 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 0.775 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.775 * [taylor]: Taking taylor expansion of M in M 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 0.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 0.775 * [taylor]: Taking taylor expansion of 1/2 in M 0.775 * [backup-simplify]: Simplify 1/2 into 1/2 0.775 * [taylor]: Taking taylor expansion of (/ 1 m) in M 0.775 * [taylor]: Taking taylor expansion of m in M 0.775 * [backup-simplify]: Simplify m into m 0.775 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 0.775 * [taylor]: Taking taylor expansion of 1/2 in M 0.775 * [backup-simplify]: Simplify 1/2 into 1/2 0.775 * [taylor]: Taking taylor expansion of (/ 1 n) in M 0.775 * [taylor]: Taking taylor expansion of n in M 0.776 * [backup-simplify]: Simplify n into n 0.776 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.776 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 0.776 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.776 * [taylor]: Taking taylor expansion of M in M 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (/ 1 1) into 1 0.776 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 0.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 0.776 * [taylor]: Taking taylor expansion of 1/2 in M 0.776 * [backup-simplify]: Simplify 1/2 into 1/2 0.776 * [taylor]: Taking taylor expansion of (/ 1 m) in M 0.776 * [taylor]: Taking taylor expansion of m in M 0.776 * [backup-simplify]: Simplify m into m 0.776 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 0.776 * [taylor]: Taking taylor expansion of 1/2 in M 0.776 * [backup-simplify]: Simplify 1/2 into 1/2 0.776 * [taylor]: Taking taylor expansion of (/ 1 n) in M 0.776 * [taylor]: Taking taylor expansion of n in M 0.776 * [backup-simplify]: Simplify n into n 0.776 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.777 * [taylor]: Taking taylor expansion of (/ -1 l) in M 0.777 * [taylor]: Taking taylor expansion of -1 in M 0.777 * [backup-simplify]: Simplify -1 into -1 0.777 * [taylor]: Taking taylor expansion of l in M 0.777 * [backup-simplify]: Simplify l into l 0.777 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 0.777 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in n 0.777 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 0.777 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in n 0.777 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 0.777 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.777 * [taylor]: Taking taylor expansion of M in n 0.777 * [backup-simplify]: Simplify M into M 0.777 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.777 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 0.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 0.777 * [taylor]: Taking taylor expansion of 1/2 in n 0.777 * [backup-simplify]: Simplify 1/2 into 1/2 0.777 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.777 * [taylor]: Taking taylor expansion of m in n 0.777 * [backup-simplify]: Simplify m into m 0.777 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.777 * [taylor]: Taking taylor expansion of 1/2 in n 0.777 * [backup-simplify]: Simplify 1/2 into 1/2 0.777 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.777 * [taylor]: Taking taylor expansion of n in n 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 0.778 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.778 * [taylor]: Taking taylor expansion of M in n 0.778 * [backup-simplify]: Simplify M into M 0.778 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.778 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 0.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 0.778 * [taylor]: Taking taylor expansion of 1/2 in n 0.778 * [backup-simplify]: Simplify 1/2 into 1/2 0.778 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.778 * [taylor]: Taking taylor expansion of m in n 0.778 * [backup-simplify]: Simplify m into m 0.778 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.778 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.778 * [taylor]: Taking taylor expansion of 1/2 in n 0.778 * [backup-simplify]: Simplify 1/2 into 1/2 0.778 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.778 * [taylor]: Taking taylor expansion of n in n 0.778 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [taylor]: Taking taylor expansion of (/ -1 l) in n 0.779 * [taylor]: Taking taylor expansion of -1 in n 0.779 * [backup-simplify]: Simplify -1 into -1 0.779 * [taylor]: Taking taylor expansion of l in n 0.779 * [backup-simplify]: Simplify l into l 0.779 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 0.779 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 0.779 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 0.779 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 0.779 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 0.779 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.779 * [taylor]: Taking taylor expansion of M in m 0.779 * [backup-simplify]: Simplify M into M 0.779 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.779 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.779 * [taylor]: Taking taylor expansion of 1/2 in m 0.780 * [backup-simplify]: Simplify 1/2 into 1/2 0.780 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.780 * [taylor]: Taking taylor expansion of m in m 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (/ 1 1) into 1 0.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.780 * [taylor]: Taking taylor expansion of 1/2 in m 0.780 * [backup-simplify]: Simplify 1/2 into 1/2 0.780 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.780 * [taylor]: Taking taylor expansion of n in m 0.780 * [backup-simplify]: Simplify n into n 0.780 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.780 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 0.780 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.780 * [taylor]: Taking taylor expansion of M in m 0.780 * [backup-simplify]: Simplify M into M 0.780 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.780 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.780 * [taylor]: Taking taylor expansion of 1/2 in m 0.780 * [backup-simplify]: Simplify 1/2 into 1/2 0.780 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.780 * [taylor]: Taking taylor expansion of m in m 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (/ 1 1) into 1 0.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.781 * [taylor]: Taking taylor expansion of 1/2 in m 0.781 * [backup-simplify]: Simplify 1/2 into 1/2 0.781 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.781 * [taylor]: Taking taylor expansion of n in m 0.781 * [backup-simplify]: Simplify n into n 0.781 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.781 * [taylor]: Taking taylor expansion of (/ -1 l) in m 0.781 * [taylor]: Taking taylor expansion of -1 in m 0.781 * [backup-simplify]: Simplify -1 into -1 0.781 * [taylor]: Taking taylor expansion of l in m 0.781 * [backup-simplify]: Simplify l into l 0.781 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 0.781 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 0.781 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 0.781 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 0.781 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 0.781 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.781 * [taylor]: Taking taylor expansion of M in m 0.781 * [backup-simplify]: Simplify M into M 0.781 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.781 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.781 * [taylor]: Taking taylor expansion of 1/2 in m 0.781 * [backup-simplify]: Simplify 1/2 into 1/2 0.781 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.781 * [taylor]: Taking taylor expansion of m in m 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (/ 1 1) into 1 0.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.781 * [taylor]: Taking taylor expansion of 1/2 in m 0.781 * [backup-simplify]: Simplify 1/2 into 1/2 0.781 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.781 * [taylor]: Taking taylor expansion of n in m 0.781 * [backup-simplify]: Simplify n into n 0.781 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.781 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 0.781 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.781 * [taylor]: Taking taylor expansion of M in m 0.781 * [backup-simplify]: Simplify M into M 0.782 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.782 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.782 * [taylor]: Taking taylor expansion of 1/2 in m 0.782 * [backup-simplify]: Simplify 1/2 into 1/2 0.782 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.782 * [taylor]: Taking taylor expansion of m in m 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.782 * [taylor]: Taking taylor expansion of 1/2 in m 0.782 * [backup-simplify]: Simplify 1/2 into 1/2 0.782 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.782 * [taylor]: Taking taylor expansion of n in m 0.782 * [backup-simplify]: Simplify n into n 0.782 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.782 * [taylor]: Taking taylor expansion of (/ -1 l) in m 0.782 * [taylor]: Taking taylor expansion of -1 in m 0.782 * [backup-simplify]: Simplify -1 into -1 0.782 * [taylor]: Taking taylor expansion of l in m 0.782 * [backup-simplify]: Simplify l into l 0.782 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 0.782 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.783 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.783 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.783 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 0.783 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.784 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.784 * [backup-simplify]: Simplify (- 1/2) into -1/2 0.784 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 0.784 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 0.785 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.785 * [taylor]: Taking taylor expansion of 1/4 in n 0.785 * [backup-simplify]: Simplify 1/4 into 1/4 0.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.786 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.786 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 0.786 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 0.786 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.787 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.787 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 0.787 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 0.787 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 0.787 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.787 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.787 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 0.787 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.787 * [taylor]: Taking taylor expansion of 1/2 in n 0.787 * [backup-simplify]: Simplify 1/2 into 1/2 0.787 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.787 * [taylor]: Taking taylor expansion of n in n 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.788 * [taylor]: Taking taylor expansion of M in n 0.788 * [backup-simplify]: Simplify M into M 0.788 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (- 0) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (- 0) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 0.794 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ -1 l)) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) 0.794 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) in n 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 0.794 * [taylor]: Taking taylor expansion of (pow M 2) in n 0.794 * [taylor]: Taking taylor expansion of M in n 0.794 * [backup-simplify]: Simplify M into M 0.794 * [backup-simplify]: Simplify (* M M) into (pow M 2) 0.794 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 0.794 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 0.794 * [taylor]: Taking taylor expansion of 1/4 in n 0.794 * [backup-simplify]: Simplify 1/4 into 1/4 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.794 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.794 * [taylor]: Taking taylor expansion of n in n 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (* 1 1) into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 l)) in n 0.794 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 0.795 * [taylor]: Taking taylor expansion of (* M n) in n 0.795 * [taylor]: Taking taylor expansion of M in n 0.795 * [backup-simplify]: Simplify M into M 0.795 * [taylor]: Taking taylor expansion of n in n 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (* M 0) into 0 0.795 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 0.795 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.795 * [taylor]: Taking taylor expansion of (/ 1 l) in n 0.795 * [taylor]: Taking taylor expansion of l in n 0.795 * [backup-simplify]: Simplify l into l 0.795 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.795 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.796 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.796 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.796 * [taylor]: Taking taylor expansion of 1/4 in M 0.796 * [backup-simplify]: Simplify 1/4 into 1/4 0.796 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.797 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.797 * [taylor]: Taking taylor expansion of 1/2 in M 0.797 * [backup-simplify]: Simplify 1/2 into 1/2 0.797 * [taylor]: Taking taylor expansion of 1/4 in M 0.797 * [backup-simplify]: Simplify 1/4 into 1/4 0.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (- 0) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 0.803 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [taylor]: Taking taylor expansion of 0 in n 0.803 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 0.805 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.805 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 0.805 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 0.805 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.805 * [taylor]: Taking taylor expansion of M in M 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.806 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.806 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 0.806 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 0.806 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.806 * [taylor]: Taking taylor expansion of M in M 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (/ 1 1) into 1 0.807 * [taylor]: Taking taylor expansion of 0 in M 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 0.810 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (- 0) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.816 * [backup-simplify]: Simplify (- 0) into 0 0.816 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 0.818 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [taylor]: Taking taylor expansion of 0 in n 0.818 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.821 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 0.822 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.822 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 0.822 * [backup-simplify]: Simplify (- (/ 1 l)) into (- (/ 1 l)) 0.822 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (- (/ 1 l))) into (- (/ 1 (pow M 2)) (/ 1 l)) 0.822 * [taylor]: Taking taylor expansion of (- (/ 1 (pow M 2)) (/ 1 l)) in M 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 0.822 * [taylor]: Taking taylor expansion of (pow M 2) in M 0.822 * [taylor]: Taking taylor expansion of M in M 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (* 1 1) into 1 0.823 * [backup-simplify]: Simplify (/ 1 1) into 1 0.823 * [taylor]: Taking taylor expansion of (/ 1 l) in M 0.823 * [taylor]: Taking taylor expansion of l in M 0.823 * [backup-simplify]: Simplify l into l 0.823 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.824 * [backup-simplify]: Simplify (+ 1 0) into 1 0.824 * [taylor]: Taking taylor expansion of 1 in l 0.824 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.826 * [backup-simplify]: Simplify (- 0) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.827 * [taylor]: Taking taylor expansion of 0 in M 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [taylor]: Taking taylor expansion of 0 in M 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (- 1) into -1 0.827 * [taylor]: Taking taylor expansion of -1 in l 0.827 * [backup-simplify]: Simplify -1 into -1 0.828 * [backup-simplify]: Simplify (- 1) into -1 0.828 * [taylor]: Taking taylor expansion of -1 in l 0.828 * [backup-simplify]: Simplify -1 into -1 0.828 * [taylor]: Taking taylor expansion of 1/4 in l 0.828 * [backup-simplify]: Simplify 1/4 into 1/4 0.828 * [taylor]: Taking taylor expansion of 1/2 in l 0.828 * [backup-simplify]: Simplify 1/2 into 1/2 0.828 * [taylor]: Taking taylor expansion of 1/4 in l 0.828 * [backup-simplify]: Simplify 1/4 into 1/4 0.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.834 * [backup-simplify]: Simplify (- 0) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 0.839 * [backup-simplify]: Simplify (+ 0 0) into 0 0.839 * [backup-simplify]: Simplify (- 0) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))))) into 0 0.841 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [taylor]: Taking taylor expansion of 0 in n 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [taylor]: Taking taylor expansion of 0 in M 0.841 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 0.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [taylor]: Taking taylor expansion of 0 in M 0.845 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.847 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [taylor]: Taking taylor expansion of 0 in M 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [taylor]: Taking taylor expansion of 0 in M 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [taylor]: Taking taylor expansion of 0 in l 0.848 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (- 0) into 0 0.849 * [taylor]: Taking taylor expansion of 0 in l 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (- 0) into 0 0.850 * [taylor]: Taking taylor expansion of 0 in l 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [taylor]: Taking taylor expansion of 0 in l 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [taylor]: Taking taylor expansion of 0 in l 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [taylor]: Taking taylor expansion of 0 in l 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [taylor]: Taking taylor expansion of 0 in l 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify -1 into -1 0.850 * [backup-simplify]: Simplify -1 into -1 0.851 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m))))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 0.851 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.851 * [backup-simplify]: Simplify (* (/ K 2) (+ m n)) into (* 1/2 (* K (+ m n))) 0.851 * [approximate]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in (K m n) around 0 0.851 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in n 0.851 * [taylor]: Taking taylor expansion of 1/2 in n 0.851 * [backup-simplify]: Simplify 1/2 into 1/2 0.851 * [taylor]: Taking taylor expansion of (* K (+ m n)) in n 0.851 * [taylor]: Taking taylor expansion of K in n 0.851 * [backup-simplify]: Simplify K into K 0.852 * [taylor]: Taking taylor expansion of (+ m n) in n 0.852 * [taylor]: Taking taylor expansion of m in n 0.852 * [backup-simplify]: Simplify m into m 0.852 * [taylor]: Taking taylor expansion of n in n 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in m 0.852 * [taylor]: Taking taylor expansion of 1/2 in m 0.852 * [backup-simplify]: Simplify 1/2 into 1/2 0.852 * [taylor]: Taking taylor expansion of (* K (+ m n)) in m 0.852 * [taylor]: Taking taylor expansion of K in m 0.852 * [backup-simplify]: Simplify K into K 0.852 * [taylor]: Taking taylor expansion of (+ m n) in m 0.852 * [taylor]: Taking taylor expansion of m in m 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [taylor]: Taking taylor expansion of n in m 0.852 * [backup-simplify]: Simplify n into n 0.852 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in K 0.852 * [taylor]: Taking taylor expansion of 1/2 in K 0.852 * [backup-simplify]: Simplify 1/2 into 1/2 0.852 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 0.852 * [taylor]: Taking taylor expansion of K in K 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [taylor]: Taking taylor expansion of (+ m n) in K 0.852 * [taylor]: Taking taylor expansion of m in K 0.852 * [backup-simplify]: Simplify m into m 0.852 * [taylor]: Taking taylor expansion of n in K 0.852 * [backup-simplify]: Simplify n into n 0.852 * [taylor]: Taking taylor expansion of (* 1/2 (* K (+ m n))) in K 0.852 * [taylor]: Taking taylor expansion of 1/2 in K 0.852 * [backup-simplify]: Simplify 1/2 into 1/2 0.852 * [taylor]: Taking taylor expansion of (* K (+ m n)) in K 0.852 * [taylor]: Taking taylor expansion of K in K 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [taylor]: Taking taylor expansion of (+ m n) in K 0.852 * [taylor]: Taking taylor expansion of m in K 0.852 * [backup-simplify]: Simplify m into m 0.852 * [taylor]: Taking taylor expansion of n in K 0.852 * [backup-simplify]: Simplify n into n 0.852 * [backup-simplify]: Simplify (+ m n) into (+ m n) 0.852 * [backup-simplify]: Simplify (* 0 (+ m n)) into 0 0.853 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.853 * [taylor]: Taking taylor expansion of 0 in m 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [taylor]: Taking taylor expansion of 0 in n 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) 0.854 * [backup-simplify]: Simplify (+ (* 1/2 (+ m n)) (* 0 0)) into (+ (* 1/2 m) (* 1/2 n)) 0.854 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.854 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.854 * [taylor]: Taking taylor expansion of 1/2 in m 0.854 * [backup-simplify]: Simplify 1/2 into 1/2 0.854 * [taylor]: Taking taylor expansion of m in m 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.854 * [taylor]: Taking taylor expansion of 1/2 in m 0.854 * [backup-simplify]: Simplify 1/2 into 1/2 0.854 * [taylor]: Taking taylor expansion of n in m 0.854 * [backup-simplify]: Simplify n into n 0.854 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.854 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 0.854 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 0.854 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 0.854 * [taylor]: Taking taylor expansion of 1/2 in n 0.854 * [backup-simplify]: Simplify 1/2 into 1/2 0.854 * [taylor]: Taking taylor expansion of n in n 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [taylor]: Taking taylor expansion of 0 in n 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) into 0 0.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (+ m n)) (* 0 0))) into 0 0.860 * [taylor]: Taking taylor expansion of 0 in m 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [taylor]: Taking taylor expansion of 0 in n 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 0.862 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.862 * [taylor]: Taking taylor expansion of 1/2 in n 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [taylor]: Taking taylor expansion of 0 in n 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.862 * [backup-simplify]: Simplify 1/2 into 1/2 0.862 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (+ 0 0) into 0 0.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ m n))))) into 0 0.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (+ m n)) (* 0 0)))) into 0 0.864 * [taylor]: Taking taylor expansion of 0 in m 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [taylor]: Taking taylor expansion of 0 in n 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [taylor]: Taking taylor expansion of 0 in n 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 0.866 * [backup-simplify]: Simplify (+ 0 0) into 0 0.866 * [taylor]: Taking taylor expansion of 0 in n 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [taylor]: Taking taylor expansion of 0 in n 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (+ (* 1/2 (* n (* 1 K))) (* 1/2 (* 1 (* m K)))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 0.866 * [backup-simplify]: Simplify (* (/ (/ 1 K) 2) (+ (/ 1 m) (/ 1 n))) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) 0.866 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in (K m n) around 0 0.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n 0.866 * [taylor]: Taking taylor expansion of 1/2 in n 0.866 * [backup-simplify]: Simplify 1/2 into 1/2 0.866 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 0.866 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.866 * [taylor]: Taking taylor expansion of m in n 0.866 * [backup-simplify]: Simplify m into m 0.866 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.866 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.866 * [taylor]: Taking taylor expansion of n in n 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (/ 1 1) into 1 0.867 * [taylor]: Taking taylor expansion of K in n 0.867 * [backup-simplify]: Simplify K into K 0.867 * [backup-simplify]: Simplify (+ 0 1) into 1 0.867 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in m 0.867 * [taylor]: Taking taylor expansion of 1/2 in m 0.867 * [backup-simplify]: Simplify 1/2 into 1/2 0.867 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 0.867 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.867 * [taylor]: Taking taylor expansion of m in m 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (/ 1 1) into 1 0.867 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.867 * [taylor]: Taking taylor expansion of n in m 0.867 * [backup-simplify]: Simplify n into n 0.867 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.867 * [taylor]: Taking taylor expansion of K in m 0.867 * [backup-simplify]: Simplify K into K 0.868 * [backup-simplify]: Simplify (+ 1 0) into 1 0.868 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 0.868 * [taylor]: Taking taylor expansion of 1/2 in K 0.868 * [backup-simplify]: Simplify 1/2 into 1/2 0.868 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 0.868 * [taylor]: Taking taylor expansion of (/ 1 m) in K 0.868 * [taylor]: Taking taylor expansion of m in K 0.868 * [backup-simplify]: Simplify m into m 0.868 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.868 * [taylor]: Taking taylor expansion of (/ 1 n) in K 0.868 * [taylor]: Taking taylor expansion of n in K 0.868 * [backup-simplify]: Simplify n into n 0.868 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.868 * [taylor]: Taking taylor expansion of K in K 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 0.868 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 0.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 0.868 * [taylor]: Taking taylor expansion of 1/2 in K 0.868 * [backup-simplify]: Simplify 1/2 into 1/2 0.868 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 0.868 * [taylor]: Taking taylor expansion of (/ 1 m) in K 0.868 * [taylor]: Taking taylor expansion of m in K 0.868 * [backup-simplify]: Simplify m into m 0.868 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.868 * [taylor]: Taking taylor expansion of (/ 1 n) in K 0.868 * [taylor]: Taking taylor expansion of n in K 0.868 * [backup-simplify]: Simplify n into n 0.868 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.868 * [taylor]: Taking taylor expansion of K in K 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.869 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 0.869 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 0.869 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) 0.869 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 m) (/ 1 n))) in m 0.869 * [taylor]: Taking taylor expansion of 1/2 in m 0.869 * [backup-simplify]: Simplify 1/2 into 1/2 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 0.869 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.869 * [taylor]: Taking taylor expansion of m in m 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [backup-simplify]: Simplify (/ 1 1) into 1 0.869 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.869 * [taylor]: Taking taylor expansion of n in m 0.869 * [backup-simplify]: Simplify n into n 0.869 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.869 * [backup-simplify]: Simplify (+ 1 0) into 1 0.870 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.870 * [taylor]: Taking taylor expansion of 1/2 in n 0.870 * [backup-simplify]: Simplify 1/2 into 1/2 0.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 0.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.870 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 m) (/ 1 n)))) into 0 0.871 * [taylor]: Taking taylor expansion of 0 in m 0.871 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.872 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) 0.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.872 * [taylor]: Taking taylor expansion of 1/2 in n 0.872 * [backup-simplify]: Simplify 1/2 into 1/2 0.872 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.872 * [taylor]: Taking taylor expansion of n in n 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (/ 1 1) into 1 0.873 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.873 * [backup-simplify]: Simplify 1/2 into 1/2 0.873 * [backup-simplify]: Simplify 1/2 into 1/2 0.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 0.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.873 * [backup-simplify]: Simplify (+ 0 0) into 0 0.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n))))) into 0 0.875 * [taylor]: Taking taylor expansion of 0 in m 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [taylor]: Taking taylor expansion of 0 in n 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.875 * [backup-simplify]: Simplify (+ 0 0) into 0 0.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 0.876 * [taylor]: Taking taylor expansion of 0 in n 0.876 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 0.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.879 * [backup-simplify]: Simplify (+ 0 0) into 0 0.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n)))))) into 0 0.882 * [taylor]: Taking taylor expansion of 0 in m 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [taylor]: Taking taylor expansion of 0 in n 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [taylor]: Taking taylor expansion of 0 in n 0.882 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.883 * [backup-simplify]: Simplify (+ 0 0) into 0 0.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 0.885 * [taylor]: Taking taylor expansion of 0 in n 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1/2 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 0.887 * [backup-simplify]: Simplify (* (/ (/ 1 (- K)) 2) (+ (/ 1 (- m)) (/ 1 (- n)))) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) 0.887 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in (K m n) around 0 0.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n 0.888 * [taylor]: Taking taylor expansion of 1/2 in n 0.888 * [backup-simplify]: Simplify 1/2 into 1/2 0.888 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n 0.888 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.888 * [taylor]: Taking taylor expansion of m in n 0.888 * [backup-simplify]: Simplify m into m 0.888 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.888 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.888 * [taylor]: Taking taylor expansion of n in n 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (/ 1 1) into 1 0.888 * [taylor]: Taking taylor expansion of K in n 0.888 * [backup-simplify]: Simplify K into K 0.889 * [backup-simplify]: Simplify (+ 0 1) into 1 0.889 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in m 0.889 * [taylor]: Taking taylor expansion of 1/2 in m 0.889 * [backup-simplify]: Simplify 1/2 into 1/2 0.889 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in m 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 0.889 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.889 * [taylor]: Taking taylor expansion of m in m 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (/ 1 1) into 1 0.889 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.889 * [taylor]: Taking taylor expansion of n in m 0.889 * [backup-simplify]: Simplify n into n 0.889 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.890 * [taylor]: Taking taylor expansion of K in m 0.890 * [backup-simplify]: Simplify K into K 0.890 * [backup-simplify]: Simplify (+ 1 0) into 1 0.890 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 0.890 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 0.890 * [taylor]: Taking taylor expansion of 1/2 in K 0.890 * [backup-simplify]: Simplify 1/2 into 1/2 0.890 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 0.890 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 0.890 * [taylor]: Taking taylor expansion of (/ 1 m) in K 0.890 * [taylor]: Taking taylor expansion of m in K 0.890 * [backup-simplify]: Simplify m into m 0.890 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.890 * [taylor]: Taking taylor expansion of (/ 1 n) in K 0.890 * [taylor]: Taking taylor expansion of n in K 0.890 * [backup-simplify]: Simplify n into n 0.890 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.890 * [taylor]: Taking taylor expansion of K in K 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 0.891 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 0.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K 0.891 * [taylor]: Taking taylor expansion of 1/2 in K 0.891 * [backup-simplify]: Simplify 1/2 into 1/2 0.891 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K 0.891 * [taylor]: Taking taylor expansion of (/ 1 m) in K 0.891 * [taylor]: Taking taylor expansion of m in K 0.891 * [backup-simplify]: Simplify m into m 0.891 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.891 * [taylor]: Taking taylor expansion of (/ 1 n) in K 0.891 * [taylor]: Taking taylor expansion of n in K 0.891 * [backup-simplify]: Simplify n into n 0.891 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.891 * [taylor]: Taking taylor expansion of K in K 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) 0.891 * [backup-simplify]: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) 0.892 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) 0.892 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 m) (/ 1 n))) in m 0.892 * [taylor]: Taking taylor expansion of 1/2 in m 0.892 * [backup-simplify]: Simplify 1/2 into 1/2 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m 0.892 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.892 * [taylor]: Taking taylor expansion of m in m 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (/ 1 1) into 1 0.892 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.892 * [taylor]: Taking taylor expansion of n in m 0.892 * [backup-simplify]: Simplify n into n 0.892 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.893 * [backup-simplify]: Simplify (+ 1 0) into 1 0.893 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.893 * [taylor]: Taking taylor expansion of 1/2 in n 0.893 * [backup-simplify]: Simplify 1/2 into 1/2 0.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.894 * [backup-simplify]: Simplify (+ 0 0) into 0 0.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 m) (/ 1 n)))) into 0 0.895 * [taylor]: Taking taylor expansion of 0 in m 0.895 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (+ 0 (/ 1 n)) into (/ 1 n) 0.897 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (* 0 1)) into (* 1/2 (/ 1 n)) 0.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.897 * [taylor]: Taking taylor expansion of 1/2 in n 0.897 * [backup-simplify]: Simplify 1/2 into 1/2 0.897 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.897 * [taylor]: Taking taylor expansion of n in n 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (/ 1 1) into 1 0.898 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.898 * [backup-simplify]: Simplify 1/2 into 1/2 0.898 * [backup-simplify]: Simplify 1/2 into 1/2 0.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n))))) into 0 0.901 * [taylor]: Taking taylor expansion of 0 in m 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [taylor]: Taking taylor expansion of 0 in n 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.902 * [backup-simplify]: Simplify (+ 0 0) into 0 0.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 n)) (* 0 1))) into 0 0.903 * [taylor]: Taking taylor expansion of 0 in n 0.903 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 0.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.906 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 m) (/ 1 n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n)))))) into 0 0.909 * [taylor]: Taking taylor expansion of 0 in m 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [taylor]: Taking taylor expansion of 0 in n 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [taylor]: Taking taylor expansion of 0 in n 0.909 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 n)) (* 0 1)))) into 0 0.912 * [taylor]: Taking taylor expansion of 0 in n 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1/2 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 0.914 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.914 * [backup-simplify]: Simplify (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) into (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) 0.915 * [approximate]: Taking taylor expansion of (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) in (m n M l) around 0 0.915 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) in l 0.915 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in l 0.915 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.915 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in l 0.915 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 0.915 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 0.915 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 0.915 * [taylor]: Taking taylor expansion of 1/2 in l 0.915 * [backup-simplify]: Simplify 1/2 into 1/2 0.915 * [taylor]: Taking taylor expansion of m in l 0.915 * [backup-simplify]: Simplify m into m 0.915 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 0.915 * [taylor]: Taking taylor expansion of 1/2 in l 0.915 * [backup-simplify]: Simplify 1/2 into 1/2 0.915 * [taylor]: Taking taylor expansion of n in l 0.915 * [backup-simplify]: Simplify n into n 0.915 * [taylor]: Taking taylor expansion of M in l 0.915 * [backup-simplify]: Simplify M into M 0.915 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 0.915 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 0.915 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 0.915 * [taylor]: Taking taylor expansion of 1/2 in l 0.915 * [backup-simplify]: Simplify 1/2 into 1/2 0.915 * [taylor]: Taking taylor expansion of m in l 0.915 * [backup-simplify]: Simplify m into m 0.915 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 0.915 * [taylor]: Taking taylor expansion of 1/2 in l 0.915 * [backup-simplify]: Simplify 1/2 into 1/2 0.915 * [taylor]: Taking taylor expansion of n in l 0.915 * [backup-simplify]: Simplify n into n 0.915 * [taylor]: Taking taylor expansion of M in l 0.915 * [backup-simplify]: Simplify M into M 0.915 * [taylor]: Taking taylor expansion of l in l 0.915 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of (fabs (- m n)) in l 0.916 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 0.916 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) in M 0.916 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in M 0.916 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.916 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in M 0.916 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 0.916 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 0.916 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 0.916 * [taylor]: Taking taylor expansion of 1/2 in M 0.916 * [backup-simplify]: Simplify 1/2 into 1/2 0.916 * [taylor]: Taking taylor expansion of m in M 0.916 * [backup-simplify]: Simplify m into m 0.916 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 0.916 * [taylor]: Taking taylor expansion of 1/2 in M 0.916 * [backup-simplify]: Simplify 1/2 into 1/2 0.916 * [taylor]: Taking taylor expansion of n in M 0.916 * [backup-simplify]: Simplify n into n 0.916 * [taylor]: Taking taylor expansion of M in M 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 0.916 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 0.916 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 0.916 * [taylor]: Taking taylor expansion of 1/2 in M 0.916 * [backup-simplify]: Simplify 1/2 into 1/2 0.916 * [taylor]: Taking taylor expansion of m in M 0.916 * [backup-simplify]: Simplify m into m 0.916 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 0.917 * [taylor]: Taking taylor expansion of 1/2 in M 0.917 * [backup-simplify]: Simplify 1/2 into 1/2 0.917 * [taylor]: Taking taylor expansion of n in M 0.917 * [backup-simplify]: Simplify n into n 0.917 * [taylor]: Taking taylor expansion of M in M 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [taylor]: Taking taylor expansion of l in M 0.917 * [backup-simplify]: Simplify l into l 0.917 * [taylor]: Taking taylor expansion of (fabs (- m n)) in M 0.917 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 0.917 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) in n 0.917 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in n 0.917 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.917 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in n 0.917 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 0.917 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 0.917 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 0.917 * [taylor]: Taking taylor expansion of 1/2 in n 0.917 * [backup-simplify]: Simplify 1/2 into 1/2 0.917 * [taylor]: Taking taylor expansion of m in n 0.917 * [backup-simplify]: Simplify m into m 0.917 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 0.917 * [taylor]: Taking taylor expansion of 1/2 in n 0.917 * [backup-simplify]: Simplify 1/2 into 1/2 0.917 * [taylor]: Taking taylor expansion of n in n 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [taylor]: Taking taylor expansion of M in n 0.917 * [backup-simplify]: Simplify M into M 0.917 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 0.917 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 0.917 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 0.917 * [taylor]: Taking taylor expansion of 1/2 in n 0.917 * [backup-simplify]: Simplify 1/2 into 1/2 0.917 * [taylor]: Taking taylor expansion of m in n 0.917 * [backup-simplify]: Simplify m into m 0.917 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 0.918 * [taylor]: Taking taylor expansion of 1/2 in n 0.918 * [backup-simplify]: Simplify 1/2 into 1/2 0.918 * [taylor]: Taking taylor expansion of n in n 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [taylor]: Taking taylor expansion of M in n 0.918 * [backup-simplify]: Simplify M into M 0.918 * [taylor]: Taking taylor expansion of l in n 0.918 * [backup-simplify]: Simplify l into l 0.918 * [taylor]: Taking taylor expansion of (fabs (- m n)) in n 0.918 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 0.918 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) in m 0.918 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 0.918 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.918 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 0.918 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 0.918 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.918 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.918 * [taylor]: Taking taylor expansion of 1/2 in m 0.918 * [backup-simplify]: Simplify 1/2 into 1/2 0.918 * [taylor]: Taking taylor expansion of m in m 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.918 * [taylor]: Taking taylor expansion of 1/2 in m 0.918 * [backup-simplify]: Simplify 1/2 into 1/2 0.918 * [taylor]: Taking taylor expansion of n in m 0.918 * [backup-simplify]: Simplify n into n 0.918 * [taylor]: Taking taylor expansion of M in m 0.918 * [backup-simplify]: Simplify M into M 0.918 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 0.919 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.919 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.919 * [taylor]: Taking taylor expansion of 1/2 in m 0.919 * [backup-simplify]: Simplify 1/2 into 1/2 0.919 * [taylor]: Taking taylor expansion of m in m 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.919 * [taylor]: Taking taylor expansion of 1/2 in m 0.919 * [backup-simplify]: Simplify 1/2 into 1/2 0.919 * [taylor]: Taking taylor expansion of n in m 0.919 * [backup-simplify]: Simplify n into n 0.919 * [taylor]: Taking taylor expansion of M in m 0.919 * [backup-simplify]: Simplify M into M 0.919 * [taylor]: Taking taylor expansion of l in m 0.919 * [backup-simplify]: Simplify l into l 0.919 * [taylor]: Taking taylor expansion of (fabs (- m n)) in m 0.919 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 0.919 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) in m 0.919 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 0.920 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 0.920 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 0.920 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 0.920 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.920 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.920 * [taylor]: Taking taylor expansion of 1/2 in m 0.920 * [backup-simplify]: Simplify 1/2 into 1/2 0.920 * [taylor]: Taking taylor expansion of m in m 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.920 * [taylor]: Taking taylor expansion of 1/2 in m 0.920 * [backup-simplify]: Simplify 1/2 into 1/2 0.920 * [taylor]: Taking taylor expansion of n in m 0.920 * [backup-simplify]: Simplify n into n 0.920 * [taylor]: Taking taylor expansion of M in m 0.920 * [backup-simplify]: Simplify M into M 0.920 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 0.920 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 0.920 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 0.920 * [taylor]: Taking taylor expansion of 1/2 in m 0.920 * [backup-simplify]: Simplify 1/2 into 1/2 0.920 * [taylor]: Taking taylor expansion of m in m 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 0.920 * [taylor]: Taking taylor expansion of 1/2 in m 0.920 * [backup-simplify]: Simplify 1/2 into 1/2 0.920 * [taylor]: Taking taylor expansion of n in m 0.920 * [backup-simplify]: Simplify n into n 0.920 * [taylor]: Taking taylor expansion of M in m 0.920 * [backup-simplify]: Simplify M into M 0.920 * [taylor]: Taking taylor expansion of l in m 0.920 * [backup-simplify]: Simplify l into l 0.920 * [taylor]: Taking taylor expansion of (fabs (- m n)) in m 0.920 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 0.921 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.921 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 0.921 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 0.921 * [backup-simplify]: Simplify (- M) into (- M) 0.921 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 0.922 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.922 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 0.922 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 0.922 * [backup-simplify]: Simplify (- M) into (- M) 0.922 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 0.922 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 0.922 * [backup-simplify]: Simplify (+ (pow (- (* 1/2 n) M) 2) l) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) 0.923 * [backup-simplify]: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) 0.923 * [backup-simplify]: Simplify (+ (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) (- (fabs (- m n)))) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (+ (* M n) (fabs (- m n)))) 0.923 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (+ (* M n) (fabs (- m n)))) in n 0.923 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) in n 0.923 * [taylor]: Taking taylor expansion of (pow M 2) in n 0.923 * [taylor]: Taking taylor expansion of M in n 0.923 * [backup-simplify]: Simplify M into M 0.923 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 0.923 * [taylor]: Taking taylor expansion of l in n 0.923 * [backup-simplify]: Simplify l into l 0.923 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 0.923 * [taylor]: Taking taylor expansion of 1/4 in n 0.923 * [backup-simplify]: Simplify 1/4 into 1/4 0.923 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.923 * [taylor]: Taking taylor expansion of n in n 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [taylor]: Taking taylor expansion of (+ (* M n) (fabs (- m n))) in n 0.923 * [taylor]: Taking taylor expansion of (* M n) in n 0.923 * [taylor]: Taking taylor expansion of M in n 0.924 * [backup-simplify]: Simplify M into M 0.924 * [taylor]: Taking taylor expansion of n in n 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [taylor]: Taking taylor expansion of (fabs (- m n)) in n 0.924 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 0.924 * [backup-simplify]: Simplify (* M M) into (pow M 2) 0.924 * [backup-simplify]: Simplify (+ l 0) into l 0.924 * [backup-simplify]: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) 0.924 * [backup-simplify]: Simplify (* M 0) into 0 0.924 * [backup-simplify]: Simplify (+ 0 (fabs (- m n))) into (fabs (- m n)) 0.924 * [backup-simplify]: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) 0.924 * [backup-simplify]: Simplify (+ (+ (pow M 2) l) (- (fabs (- m n)))) into (- (+ (pow M 2) l) (fabs (- m n))) 0.924 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) l) (fabs (- m n))) in M 0.924 * [taylor]: Taking taylor expansion of (+ (pow M 2) l) in M 0.924 * [taylor]: Taking taylor expansion of (pow M 2) in M 0.924 * [taylor]: Taking taylor expansion of M in M 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [taylor]: Taking taylor expansion of l in M 0.924 * [backup-simplify]: Simplify l into l 0.924 * [taylor]: Taking taylor expansion of (fabs (- m n)) in M 0.925 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 0.925 * [backup-simplify]: Simplify (+ 0 l) into l 0.925 * [backup-simplify]: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) 0.925 * [backup-simplify]: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) 0.925 * [taylor]: Taking taylor expansion of (- l (fabs (- m n))) in l 0.925 * [taylor]: Taking taylor expansion of l in l 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [taylor]: Taking taylor expansion of (fabs (- m n)) in l 0.925 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 0.925 * [backup-simplify]: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) 0.925 * [backup-simplify]: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) 0.925 * [backup-simplify]: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) 0.926 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 0.927 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.928 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.929 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 0.929 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.930 * [backup-simplify]: Simplify (- 0) into 0 0.930 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.930 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 0.931 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 0.931 * [backup-simplify]: Simplify (- 0) into 0 0.931 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 0.931 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 0.931 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 0.931 * [taylor]: Taking taylor expansion of 1/2 in n 0.931 * [backup-simplify]: Simplify 1/2 into 1/2 0.931 * [taylor]: Taking taylor expansion of n in n 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [taylor]: Taking taylor expansion of M in n 0.931 * [backup-simplify]: Simplify M into M 0.932 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.932 * [backup-simplify]: Simplify (- M) into (- M) 0.932 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 0.932 * [taylor]: Taking taylor expansion of (- M) in M 0.932 * [taylor]: Taking taylor expansion of M in M 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify (- 0) into 0 0.932 * [taylor]: Taking taylor expansion of 0 in l 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.934 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 0.934 * [backup-simplify]: Simplify (+ M 0) into M 0.934 * [backup-simplify]: Simplify (- M) into (- M) 0.934 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 0.934 * [taylor]: Taking taylor expansion of (- M) in M 0.934 * [taylor]: Taking taylor expansion of M in M 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (- 0) into 0 0.934 * [taylor]: Taking taylor expansion of 0 in l 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [backup-simplify]: Simplify (- 0) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [taylor]: Taking taylor expansion of 0 in l 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify (- 0) into 0 0.936 * [backup-simplify]: Simplify (+ 1 0) into 1 0.936 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (- 0) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.939 * [backup-simplify]: Simplify (- 0) into 0 0.940 * [backup-simplify]: Simplify (+ 0 0) into 0 0.940 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 0.940 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.941 * [backup-simplify]: Simplify (- 0) into 0 0.941 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.941 * [taylor]: Taking taylor expansion of 1/4 in n 0.941 * [backup-simplify]: Simplify 1/4 into 1/4 0.941 * [taylor]: Taking taylor expansion of 1/4 in M 0.941 * [backup-simplify]: Simplify 1/4 into 1/4 0.941 * [taylor]: Taking taylor expansion of 1/4 in l 0.941 * [backup-simplify]: Simplify 1/4 into 1/4 0.941 * [backup-simplify]: Simplify 1/4 into 1/4 0.941 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (+ (* 1 (* l (* 1 (* 1 1)))) (- (fabs (- m n))))) into (- (+ l (* 1/4 (pow m 2))) (fabs (- m n))) 0.942 * [backup-simplify]: Simplify (- (fma (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) into (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) 0.942 * [approximate]: Taking taylor expansion of (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in (m n M l) around 0 0.942 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in l 0.942 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in l 0.942 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.942 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in l 0.942 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 0.942 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 0.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 0.942 * [taylor]: Taking taylor expansion of 1/2 in l 0.942 * [backup-simplify]: Simplify 1/2 into 1/2 0.942 * [taylor]: Taking taylor expansion of (/ 1 m) in l 0.942 * [taylor]: Taking taylor expansion of m in l 0.942 * [backup-simplify]: Simplify m into m 0.942 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 0.942 * [taylor]: Taking taylor expansion of 1/2 in l 0.942 * [backup-simplify]: Simplify 1/2 into 1/2 0.942 * [taylor]: Taking taylor expansion of (/ 1 n) in l 0.942 * [taylor]: Taking taylor expansion of n in l 0.942 * [backup-simplify]: Simplify n into n 0.942 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.942 * [taylor]: Taking taylor expansion of (/ 1 M) in l 0.942 * [taylor]: Taking taylor expansion of M in l 0.942 * [backup-simplify]: Simplify M into M 0.942 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.942 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 0.942 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 0.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 0.942 * [taylor]: Taking taylor expansion of 1/2 in l 0.942 * [backup-simplify]: Simplify 1/2 into 1/2 0.942 * [taylor]: Taking taylor expansion of (/ 1 m) in l 0.942 * [taylor]: Taking taylor expansion of m in l 0.942 * [backup-simplify]: Simplify m into m 0.942 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 0.942 * [taylor]: Taking taylor expansion of 1/2 in l 0.942 * [backup-simplify]: Simplify 1/2 into 1/2 0.942 * [taylor]: Taking taylor expansion of (/ 1 n) in l 0.942 * [taylor]: Taking taylor expansion of n in l 0.942 * [backup-simplify]: Simplify n into n 0.942 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.942 * [taylor]: Taking taylor expansion of (/ 1 M) in l 0.943 * [taylor]: Taking taylor expansion of M in l 0.943 * [backup-simplify]: Simplify M into M 0.943 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.943 * [taylor]: Taking taylor expansion of (/ 1 l) in l 0.943 * [taylor]: Taking taylor expansion of l in l 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (/ 1 1) into 1 0.943 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l 0.943 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 0.943 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in M 0.943 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in M 0.943 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.943 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in M 0.943 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 0.943 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 0.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 0.943 * [taylor]: Taking taylor expansion of 1/2 in M 0.943 * [backup-simplify]: Simplify 1/2 into 1/2 0.943 * [taylor]: Taking taylor expansion of (/ 1 m) in M 0.943 * [taylor]: Taking taylor expansion of m in M 0.943 * [backup-simplify]: Simplify m into m 0.943 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 0.943 * [taylor]: Taking taylor expansion of 1/2 in M 0.943 * [backup-simplify]: Simplify 1/2 into 1/2 0.943 * [taylor]: Taking taylor expansion of (/ 1 n) in M 0.943 * [taylor]: Taking taylor expansion of n in M 0.943 * [backup-simplify]: Simplify n into n 0.943 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.943 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.943 * [taylor]: Taking taylor expansion of M in M 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (/ 1 1) into 1 0.944 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 0.944 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 0.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 0.944 * [taylor]: Taking taylor expansion of 1/2 in M 0.944 * [backup-simplify]: Simplify 1/2 into 1/2 0.944 * [taylor]: Taking taylor expansion of (/ 1 m) in M 0.944 * [taylor]: Taking taylor expansion of m in M 0.944 * [backup-simplify]: Simplify m into m 0.944 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 0.944 * [taylor]: Taking taylor expansion of 1/2 in M 0.944 * [backup-simplify]: Simplify 1/2 into 1/2 0.944 * [taylor]: Taking taylor expansion of (/ 1 n) in M 0.944 * [taylor]: Taking taylor expansion of n in M 0.944 * [backup-simplify]: Simplify n into n 0.944 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.944 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.944 * [taylor]: Taking taylor expansion of M in M 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (/ 1 1) into 1 0.944 * [taylor]: Taking taylor expansion of (/ 1 l) in M 0.944 * [taylor]: Taking taylor expansion of l in M 0.944 * [backup-simplify]: Simplify l into l 0.944 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.944 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M 0.944 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 0.944 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in n 0.944 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in n 0.945 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.945 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in n 0.945 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 0.945 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 0.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 0.945 * [taylor]: Taking taylor expansion of 1/2 in n 0.945 * [backup-simplify]: Simplify 1/2 into 1/2 0.945 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.945 * [taylor]: Taking taylor expansion of m in n 0.945 * [backup-simplify]: Simplify m into m 0.945 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.945 * [taylor]: Taking taylor expansion of 1/2 in n 0.945 * [backup-simplify]: Simplify 1/2 into 1/2 0.945 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.945 * [taylor]: Taking taylor expansion of n in n 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (/ 1 1) into 1 0.945 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.945 * [taylor]: Taking taylor expansion of M in n 0.945 * [backup-simplify]: Simplify M into M 0.945 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.945 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 0.945 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 0.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 0.945 * [taylor]: Taking taylor expansion of 1/2 in n 0.945 * [backup-simplify]: Simplify 1/2 into 1/2 0.945 * [taylor]: Taking taylor expansion of (/ 1 m) in n 0.945 * [taylor]: Taking taylor expansion of m in n 0.945 * [backup-simplify]: Simplify m into m 0.945 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 0.945 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.945 * [taylor]: Taking taylor expansion of 1/2 in n 0.945 * [backup-simplify]: Simplify 1/2 into 1/2 0.945 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.945 * [taylor]: Taking taylor expansion of n in n 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (/ 1 1) into 1 0.946 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.946 * [taylor]: Taking taylor expansion of M in n 0.946 * [backup-simplify]: Simplify M into M 0.946 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.946 * [taylor]: Taking taylor expansion of (/ 1 l) in n 0.946 * [taylor]: Taking taylor expansion of l in n 0.946 * [backup-simplify]: Simplify l into l 0.946 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.946 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n 0.946 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 0.946 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in m 0.946 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 0.946 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.946 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 0.946 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 0.946 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.946 * [taylor]: Taking taylor expansion of 1/2 in m 0.946 * [backup-simplify]: Simplify 1/2 into 1/2 0.946 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.946 * [taylor]: Taking taylor expansion of m in m 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 1 into 1 0.946 * [backup-simplify]: Simplify (/ 1 1) into 1 0.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.946 * [taylor]: Taking taylor expansion of 1/2 in m 0.946 * [backup-simplify]: Simplify 1/2 into 1/2 0.946 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.946 * [taylor]: Taking taylor expansion of n in m 0.946 * [backup-simplify]: Simplify n into n 0.947 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.947 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.947 * [taylor]: Taking taylor expansion of M in m 0.947 * [backup-simplify]: Simplify M into M 0.947 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.947 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 0.947 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.947 * [taylor]: Taking taylor expansion of 1/2 in m 0.947 * [backup-simplify]: Simplify 1/2 into 1/2 0.947 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.947 * [taylor]: Taking taylor expansion of m in m 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 1 into 1 0.947 * [backup-simplify]: Simplify (/ 1 1) into 1 0.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.947 * [taylor]: Taking taylor expansion of 1/2 in m 0.947 * [backup-simplify]: Simplify 1/2 into 1/2 0.947 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.947 * [taylor]: Taking taylor expansion of n in m 0.947 * [backup-simplify]: Simplify n into n 0.947 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.947 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.947 * [taylor]: Taking taylor expansion of M in m 0.947 * [backup-simplify]: Simplify M into M 0.947 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.947 * [taylor]: Taking taylor expansion of (/ 1 l) in m 0.947 * [taylor]: Taking taylor expansion of l in m 0.947 * [backup-simplify]: Simplify l into l 0.947 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.947 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m 0.947 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 0.947 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in m 0.947 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 0.947 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 0.947 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 0.948 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 0.948 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.948 * [taylor]: Taking taylor expansion of 1/2 in m 0.948 * [backup-simplify]: Simplify 1/2 into 1/2 0.948 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.948 * [taylor]: Taking taylor expansion of m in m 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (/ 1 1) into 1 0.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.948 * [taylor]: Taking taylor expansion of 1/2 in m 0.948 * [backup-simplify]: Simplify 1/2 into 1/2 0.948 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.948 * [taylor]: Taking taylor expansion of n in m 0.948 * [backup-simplify]: Simplify n into n 0.948 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.948 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.948 * [taylor]: Taking taylor expansion of M in m 0.948 * [backup-simplify]: Simplify M into M 0.948 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.948 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 0.948 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 0.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 0.948 * [taylor]: Taking taylor expansion of 1/2 in m 0.948 * [backup-simplify]: Simplify 1/2 into 1/2 0.948 * [taylor]: Taking taylor expansion of (/ 1 m) in m 0.948 * [taylor]: Taking taylor expansion of m in m 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (/ 1 1) into 1 0.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 0.948 * [taylor]: Taking taylor expansion of 1/2 in m 0.949 * [backup-simplify]: Simplify 1/2 into 1/2 0.949 * [taylor]: Taking taylor expansion of (/ 1 n) in m 0.949 * [taylor]: Taking taylor expansion of n in m 0.949 * [backup-simplify]: Simplify n into n 0.949 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 0.949 * [taylor]: Taking taylor expansion of (/ 1 M) in m 0.949 * [taylor]: Taking taylor expansion of M in m 0.949 * [backup-simplify]: Simplify M into M 0.949 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.949 * [taylor]: Taking taylor expansion of (/ 1 l) in m 0.949 * [taylor]: Taking taylor expansion of l in m 0.949 * [backup-simplify]: Simplify l into l 0.949 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.949 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m 0.949 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 0.949 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.949 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.950 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.950 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.950 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.950 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.951 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 0.951 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.951 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.951 * [taylor]: Taking taylor expansion of 1/4 in n 0.951 * [backup-simplify]: Simplify 1/4 into 1/4 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.952 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.952 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 0.952 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.952 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.953 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 0.953 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 0.953 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.954 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.954 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.954 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.954 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 0.954 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 0.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 0.954 * [taylor]: Taking taylor expansion of 1/2 in n 0.954 * [backup-simplify]: Simplify 1/2 into 1/2 0.954 * [taylor]: Taking taylor expansion of (/ 1 n) in n 0.954 * [taylor]: Taking taylor expansion of n in n 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (/ 1 1) into 1 0.954 * [taylor]: Taking taylor expansion of (/ 1 M) in n 0.954 * [taylor]: Taking taylor expansion of M in n 0.954 * [backup-simplify]: Simplify M into M 0.954 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.956 * [backup-simplify]: Simplify (- 0) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 0.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 0.959 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 0.959 * [backup-simplify]: Simplify (- 0) into 0 0.959 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 0.960 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ 1 l)) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) 0.960 * [backup-simplify]: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) 0.961 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) 0.961 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) in n 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) in n 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 0.961 * [taylor]: Taking taylor expansion of (pow M 2) in n 0.961 * [taylor]: Taking taylor expansion of M in n 0.961 * [backup-simplify]: Simplify M into M 0.961 * [backup-simplify]: Simplify (* M M) into (pow M 2) 0.961 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 0.961 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l)) in n 0.961 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 0.961 * [taylor]: Taking taylor expansion of 1/4 in n 0.961 * [backup-simplify]: Simplify 1/4 into 1/4 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 0.961 * [taylor]: Taking taylor expansion of (pow n 2) in n 0.961 * [taylor]: Taking taylor expansion of n in n 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (* 1 1) into 1 0.962 * [backup-simplify]: Simplify (/ 1 1) into 1 0.962 * [taylor]: Taking taylor expansion of (/ 1 l) in n 0.962 * [taylor]: Taking taylor expansion of l in n 0.962 * [backup-simplify]: Simplify l into l 0.962 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) in n 0.962 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 0.962 * [taylor]: Taking taylor expansion of (* M n) in n 0.962 * [taylor]: Taking taylor expansion of M in n 0.962 * [backup-simplify]: Simplify M into M 0.962 * [taylor]: Taking taylor expansion of n in n 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (* M 0) into 0 0.962 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 0.962 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 0.962 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n 0.962 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 0.962 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.963 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.963 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.963 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 0.963 * [taylor]: Taking taylor expansion of 1/4 in M 0.963 * [backup-simplify]: Simplify 1/4 into 1/4 0.964 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.964 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 0.964 * [taylor]: Taking taylor expansion of 1/2 in M 0.964 * [backup-simplify]: Simplify 1/2 into 1/2 0.964 * [taylor]: Taking taylor expansion of 1/4 in M 0.964 * [backup-simplify]: Simplify 1/4 into 1/4 0.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.966 * [backup-simplify]: Simplify (- 0) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 0.969 * [backup-simplify]: Simplify (+ 0 0) into 0 0.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.970 * [backup-simplify]: Simplify (- 0) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.972 * [backup-simplify]: Simplify (- 0) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [taylor]: Taking taylor expansion of 0 in n 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.980 * [backup-simplify]: Simplify (+ 0 0) into 0 0.980 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 0.980 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.980 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 0.980 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 0.981 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.981 * [taylor]: Taking taylor expansion of M in M 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.983 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 0.983 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 0.983 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 0.983 * [taylor]: Taking taylor expansion of (/ 1 M) in M 0.983 * [taylor]: Taking taylor expansion of M in M 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (/ 1 1) into 1 0.984 * [taylor]: Taking taylor expansion of 0 in M 0.984 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 0.988 * [backup-simplify]: Simplify (+ 0 0) into 0 0.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.988 * [backup-simplify]: Simplify (- 0) into 0 0.988 * [backup-simplify]: Simplify (+ 0 0) into 0 0.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 0.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 0.992 * [backup-simplify]: Simplify (+ 0 0) into 0 0.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 0.993 * [backup-simplify]: Simplify (- 0) into 0 0.993 * [backup-simplify]: Simplify (+ 0 0) into 0 0.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 0.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.996 * [backup-simplify]: Simplify (- 0) into 0 0.996 * [backup-simplify]: Simplify (+ 0 0) into 0 0.997 * [taylor]: Taking taylor expansion of 0 in n 0.997 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.000 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.000 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 1.000 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1 l)) into (+ (/ 1 (pow M 2)) (/ 1 l)) 1.001 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.001 * [backup-simplify]: Simplify (+ 0 (fabs (- (/ 1 m) (/ 1 n)))) into (fabs (- (/ 1 m) (/ 1 n))) 1.001 * [backup-simplify]: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) 1.001 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (/ 1 l)) (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (+ (/ 1 (pow M 2)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) 1.001 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in M 1.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (/ 1 l)) in M 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.001 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.001 * [taylor]: Taking taylor expansion of M in M 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (* 1 1) into 1 1.002 * [backup-simplify]: Simplify (/ 1 1) into 1 1.002 * [taylor]: Taking taylor expansion of (/ 1 l) in M 1.002 * [taylor]: Taking taylor expansion of l in M 1.002 * [backup-simplify]: Simplify l into l 1.002 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 1.002 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M 1.003 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 1.003 * [backup-simplify]: Simplify (+ 1 0) into 1 1.004 * [backup-simplify]: Simplify (+ 1 0) into 1 1.004 * [taylor]: Taking taylor expansion of 1 in l 1.004 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.006 * [backup-simplify]: Simplify (- 0) into 0 1.007 * [backup-simplify]: Simplify (+ 0 0) into 0 1.007 * [taylor]: Taking taylor expansion of 0 in M 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [taylor]: Taking taylor expansion of 0 in M 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify (- 1) into -1 1.007 * [taylor]: Taking taylor expansion of -1 in l 1.007 * [backup-simplify]: Simplify -1 into -1 1.008 * [backup-simplify]: Simplify (- 1) into -1 1.008 * [taylor]: Taking taylor expansion of -1 in l 1.008 * [backup-simplify]: Simplify -1 into -1 1.008 * [taylor]: Taking taylor expansion of 1/4 in l 1.008 * [backup-simplify]: Simplify 1/4 into 1/4 1.008 * [taylor]: Taking taylor expansion of 1/2 in l 1.008 * [backup-simplify]: Simplify 1/2 into 1/2 1.008 * [taylor]: Taking taylor expansion of 1/4 in l 1.008 * [backup-simplify]: Simplify 1/4 into 1/4 1.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 1.013 * [backup-simplify]: Simplify (+ 0 0) into 0 1.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.014 * [backup-simplify]: Simplify (- 0) into 0 1.014 * [backup-simplify]: Simplify (+ 0 0) into 0 1.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 1.019 * [backup-simplify]: Simplify (+ 0 0) into 0 1.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.020 * [backup-simplify]: Simplify (- 0) into 0 1.020 * [backup-simplify]: Simplify (+ 0 0) into 0 1.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))))) into 0 1.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (- 0) into 0 1.023 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [taylor]: Taking taylor expansion of 0 in n 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [taylor]: Taking taylor expansion of 0 in M 1.023 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 1.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 1.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.029 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.029 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [backup-simplify]: Simplify (- 0) into 0 1.030 * [backup-simplify]: Simplify (+ 0 0) into 0 1.030 * [taylor]: Taking taylor expansion of 0 in M 1.030 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.032 * [backup-simplify]: Simplify (- 0) into 0 1.033 * [backup-simplify]: Simplify (+ 0 0) into 0 1.033 * [taylor]: Taking taylor expansion of 0 in M 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [taylor]: Taking taylor expansion of 0 in M 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.034 * [backup-simplify]: Simplify (+ 0 0) into 0 1.034 * [backup-simplify]: Simplify (+ 0 0) into 0 1.034 * [taylor]: Taking taylor expansion of 0 in l 1.034 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (- 0) into 0 1.035 * [taylor]: Taking taylor expansion of 0 in l 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.036 * [backup-simplify]: Simplify (- 0) into 0 1.036 * [taylor]: Taking taylor expansion of 0 in l 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [taylor]: Taking taylor expansion of 0 in l 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [taylor]: Taking taylor expansion of 0 in l 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [taylor]: Taking taylor expansion of 0 in l 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [taylor]: Taking taylor expansion of 0 in l 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify -1 into -1 1.036 * [backup-simplify]: Simplify -1 into -1 1.036 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m)))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 M)) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 1.037 * [backup-simplify]: Simplify (- (fma (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (/ 1 (- l))) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) into (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) 1.037 * [approximate]: Taking taylor expansion of (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) in (m n M l) around 0 1.037 * [taylor]: Taking taylor expansion of (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) in l 1.037 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in l 1.037 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 1.037 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in l 1.037 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 1.037 * [taylor]: Taking taylor expansion of (/ 1 M) in l 1.037 * [taylor]: Taking taylor expansion of M in l 1.037 * [backup-simplify]: Simplify M into M 1.037 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.037 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 1.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 1.037 * [taylor]: Taking taylor expansion of 1/2 in l 1.037 * [backup-simplify]: Simplify 1/2 into 1/2 1.037 * [taylor]: Taking taylor expansion of (/ 1 m) in l 1.037 * [taylor]: Taking taylor expansion of m in l 1.037 * [backup-simplify]: Simplify m into m 1.037 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 1.037 * [taylor]: Taking taylor expansion of 1/2 in l 1.037 * [backup-simplify]: Simplify 1/2 into 1/2 1.037 * [taylor]: Taking taylor expansion of (/ 1 n) in l 1.037 * [taylor]: Taking taylor expansion of n in l 1.037 * [backup-simplify]: Simplify n into n 1.037 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.037 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 1.037 * [taylor]: Taking taylor expansion of (/ 1 M) in l 1.037 * [taylor]: Taking taylor expansion of M in l 1.037 * [backup-simplify]: Simplify M into M 1.037 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.038 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 1.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 1.038 * [taylor]: Taking taylor expansion of 1/2 in l 1.038 * [backup-simplify]: Simplify 1/2 into 1/2 1.038 * [taylor]: Taking taylor expansion of (/ 1 m) in l 1.038 * [taylor]: Taking taylor expansion of m in l 1.038 * [backup-simplify]: Simplify m into m 1.038 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 1.038 * [taylor]: Taking taylor expansion of 1/2 in l 1.038 * [backup-simplify]: Simplify 1/2 into 1/2 1.038 * [taylor]: Taking taylor expansion of (/ 1 n) in l 1.038 * [taylor]: Taking taylor expansion of n in l 1.038 * [backup-simplify]: Simplify n into n 1.038 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.038 * [taylor]: Taking taylor expansion of (/ -1 l) in l 1.038 * [taylor]: Taking taylor expansion of -1 in l 1.038 * [backup-simplify]: Simplify -1 into -1 1.038 * [taylor]: Taking taylor expansion of l in l 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 1 into 1 1.038 * [backup-simplify]: Simplify (/ -1 1) into -1 1.038 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in l 1.038 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 1.038 * [taylor]: Taking taylor expansion of (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) in M 1.038 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in M 1.038 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 1.038 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in M 1.038 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 1.038 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.038 * [taylor]: Taking taylor expansion of M in M 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 1 into 1 1.039 * [backup-simplify]: Simplify (/ 1 1) into 1 1.039 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.039 * [taylor]: Taking taylor expansion of 1/2 in M 1.039 * [backup-simplify]: Simplify 1/2 into 1/2 1.039 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.039 * [taylor]: Taking taylor expansion of m in M 1.039 * [backup-simplify]: Simplify m into m 1.039 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.039 * [taylor]: Taking taylor expansion of 1/2 in M 1.039 * [backup-simplify]: Simplify 1/2 into 1/2 1.039 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.039 * [taylor]: Taking taylor expansion of n in M 1.039 * [backup-simplify]: Simplify n into n 1.039 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.039 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 1.039 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.039 * [taylor]: Taking taylor expansion of M in M 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 1 into 1 1.039 * [backup-simplify]: Simplify (/ 1 1) into 1 1.039 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 1.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 1.039 * [taylor]: Taking taylor expansion of 1/2 in M 1.039 * [backup-simplify]: Simplify 1/2 into 1/2 1.039 * [taylor]: Taking taylor expansion of (/ 1 m) in M 1.039 * [taylor]: Taking taylor expansion of m in M 1.039 * [backup-simplify]: Simplify m into m 1.039 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 1.039 * [taylor]: Taking taylor expansion of 1/2 in M 1.039 * [backup-simplify]: Simplify 1/2 into 1/2 1.039 * [taylor]: Taking taylor expansion of (/ 1 n) in M 1.039 * [taylor]: Taking taylor expansion of n in M 1.040 * [backup-simplify]: Simplify n into n 1.040 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.040 * [taylor]: Taking taylor expansion of (/ -1 l) in M 1.040 * [taylor]: Taking taylor expansion of -1 in M 1.040 * [backup-simplify]: Simplify -1 into -1 1.040 * [taylor]: Taking taylor expansion of l in M 1.040 * [backup-simplify]: Simplify l into l 1.040 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 1.040 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in M 1.040 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 1.040 * [taylor]: Taking taylor expansion of (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) in n 1.040 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in n 1.040 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 1.040 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in n 1.040 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 1.040 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.040 * [taylor]: Taking taylor expansion of M in n 1.040 * [backup-simplify]: Simplify M into M 1.040 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.040 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.040 * [taylor]: Taking taylor expansion of 1/2 in n 1.040 * [backup-simplify]: Simplify 1/2 into 1/2 1.040 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.040 * [taylor]: Taking taylor expansion of m in n 1.040 * [backup-simplify]: Simplify m into m 1.040 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.040 * [taylor]: Taking taylor expansion of 1/2 in n 1.040 * [backup-simplify]: Simplify 1/2 into 1/2 1.040 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.040 * [taylor]: Taking taylor expansion of n in n 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 1 into 1 1.040 * [backup-simplify]: Simplify (/ 1 1) into 1 1.040 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 1.040 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.040 * [taylor]: Taking taylor expansion of M in n 1.041 * [backup-simplify]: Simplify M into M 1.041 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.041 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 1.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 1.041 * [taylor]: Taking taylor expansion of 1/2 in n 1.041 * [backup-simplify]: Simplify 1/2 into 1/2 1.041 * [taylor]: Taking taylor expansion of (/ 1 m) in n 1.041 * [taylor]: Taking taylor expansion of m in n 1.041 * [backup-simplify]: Simplify m into m 1.041 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 1.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.041 * [taylor]: Taking taylor expansion of 1/2 in n 1.041 * [backup-simplify]: Simplify 1/2 into 1/2 1.041 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.041 * [taylor]: Taking taylor expansion of n in n 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 1 into 1 1.041 * [backup-simplify]: Simplify (/ 1 1) into 1 1.041 * [taylor]: Taking taylor expansion of (/ -1 l) in n 1.041 * [taylor]: Taking taylor expansion of -1 in n 1.041 * [backup-simplify]: Simplify -1 into -1 1.041 * [taylor]: Taking taylor expansion of l in n 1.041 * [backup-simplify]: Simplify l into l 1.041 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 1.041 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n 1.041 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 1.041 * [taylor]: Taking taylor expansion of (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) in m 1.041 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 1.041 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 1.041 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 1.041 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.041 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.041 * [taylor]: Taking taylor expansion of M in m 1.041 * [backup-simplify]: Simplify M into M 1.041 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.041 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.042 * [taylor]: Taking taylor expansion of 1/2 in m 1.042 * [backup-simplify]: Simplify 1/2 into 1/2 1.042 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.042 * [taylor]: Taking taylor expansion of m in m 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (/ 1 1) into 1 1.042 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.042 * [taylor]: Taking taylor expansion of 1/2 in m 1.042 * [backup-simplify]: Simplify 1/2 into 1/2 1.042 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.042 * [taylor]: Taking taylor expansion of n in m 1.042 * [backup-simplify]: Simplify n into n 1.042 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.042 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.042 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.042 * [taylor]: Taking taylor expansion of M in m 1.042 * [backup-simplify]: Simplify M into M 1.042 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.042 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.042 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.042 * [taylor]: Taking taylor expansion of 1/2 in m 1.042 * [backup-simplify]: Simplify 1/2 into 1/2 1.042 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.042 * [taylor]: Taking taylor expansion of m in m 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (/ 1 1) into 1 1.042 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.043 * [taylor]: Taking taylor expansion of 1/2 in m 1.043 * [backup-simplify]: Simplify 1/2 into 1/2 1.043 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.043 * [taylor]: Taking taylor expansion of n in m 1.043 * [backup-simplify]: Simplify n into n 1.043 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.043 * [taylor]: Taking taylor expansion of (/ -1 l) in m 1.043 * [taylor]: Taking taylor expansion of -1 in m 1.043 * [backup-simplify]: Simplify -1 into -1 1.043 * [taylor]: Taking taylor expansion of l in m 1.043 * [backup-simplify]: Simplify l into l 1.043 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 1.043 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in m 1.043 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 1.043 * [taylor]: Taking taylor expansion of (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) in m 1.043 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 1.043 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 1.043 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 1.043 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.043 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.043 * [taylor]: Taking taylor expansion of M in m 1.043 * [backup-simplify]: Simplify M into M 1.043 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.043 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.043 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.043 * [taylor]: Taking taylor expansion of 1/2 in m 1.043 * [backup-simplify]: Simplify 1/2 into 1/2 1.043 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.043 * [taylor]: Taking taylor expansion of m in m 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [backup-simplify]: Simplify (/ 1 1) into 1 1.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.044 * [taylor]: Taking taylor expansion of 1/2 in m 1.044 * [backup-simplify]: Simplify 1/2 into 1/2 1.044 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.044 * [taylor]: Taking taylor expansion of n in m 1.044 * [backup-simplify]: Simplify n into n 1.044 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.044 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 1.044 * [taylor]: Taking taylor expansion of (/ 1 M) in m 1.044 * [taylor]: Taking taylor expansion of M in m 1.044 * [backup-simplify]: Simplify M into M 1.044 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.044 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 1.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 1.044 * [taylor]: Taking taylor expansion of 1/2 in m 1.044 * [backup-simplify]: Simplify 1/2 into 1/2 1.044 * [taylor]: Taking taylor expansion of (/ 1 m) in m 1.044 * [taylor]: Taking taylor expansion of m in m 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 1 into 1 1.044 * [backup-simplify]: Simplify (/ 1 1) into 1 1.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 1.044 * [taylor]: Taking taylor expansion of 1/2 in m 1.044 * [backup-simplify]: Simplify 1/2 into 1/2 1.044 * [taylor]: Taking taylor expansion of (/ 1 n) in m 1.044 * [taylor]: Taking taylor expansion of n in m 1.044 * [backup-simplify]: Simplify n into n 1.044 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.044 * [taylor]: Taking taylor expansion of (/ -1 l) in m 1.044 * [taylor]: Taking taylor expansion of -1 in m 1.044 * [backup-simplify]: Simplify -1 into -1 1.044 * [taylor]: Taking taylor expansion of l in m 1.044 * [backup-simplify]: Simplify l into l 1.044 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 1.044 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in m 1.044 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 1.045 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.045 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.046 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.046 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.047 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.047 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.047 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.047 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.048 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 1.048 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.048 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.048 * [taylor]: Taking taylor expansion of 1/4 in n 1.048 * [backup-simplify]: Simplify 1/4 into 1/4 1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.049 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.049 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.049 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 1.049 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.050 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 1.050 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 1.050 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 1.050 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 1.051 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.051 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.051 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 1.051 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 1.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 1.051 * [taylor]: Taking taylor expansion of 1/2 in n 1.051 * [backup-simplify]: Simplify 1/2 into 1/2 1.051 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.051 * [taylor]: Taking taylor expansion of n in n 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.051 * [backup-simplify]: Simplify (/ 1 1) into 1 1.051 * [taylor]: Taking taylor expansion of (/ 1 M) in n 1.051 * [taylor]: Taking taylor expansion of M in n 1.051 * [backup-simplify]: Simplify M into M 1.051 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [backup-simplify]: Simplify (- 0) into 0 1.054 * [backup-simplify]: Simplify (+ 0 0) into 0 1.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 1.055 * [backup-simplify]: Simplify (+ 0 0) into 0 1.056 * [backup-simplify]: Simplify (- 0) into 0 1.056 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 1.057 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ -1 l)) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) 1.057 * [backup-simplify]: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) 1.057 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) (- (fabs (- (/ 1 n) (/ 1 m))))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)))) 1.058 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)))) in n 1.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 1.058 * [taylor]: Taking taylor expansion of (pow M 2) in n 1.058 * [taylor]: Taking taylor expansion of M in n 1.058 * [backup-simplify]: Simplify M into M 1.058 * [backup-simplify]: Simplify (* M M) into (pow M 2) 1.058 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 1.058 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 1.058 * [taylor]: Taking taylor expansion of 1/4 in n 1.058 * [backup-simplify]: Simplify 1/4 into 1/4 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 1.058 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.058 * [taylor]: Taking taylor expansion of n in n 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify (* 1 1) into 1 1.058 * [backup-simplify]: Simplify (/ 1 1) into 1 1.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) in n 1.059 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 1.059 * [taylor]: Taking taylor expansion of (* M n) in n 1.059 * [taylor]: Taking taylor expansion of M in n 1.059 * [backup-simplify]: Simplify M into M 1.059 * [taylor]: Taking taylor expansion of n in n 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (* M 0) into 0 1.059 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 1.059 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 1.059 * [taylor]: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) in n 1.059 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n 1.059 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 1.059 * [taylor]: Taking taylor expansion of (/ 1 l) in n 1.059 * [taylor]: Taking taylor expansion of l in n 1.059 * [backup-simplify]: Simplify l into l 1.059 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 1.059 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.060 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.060 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 1.060 * [taylor]: Taking taylor expansion of 1/4 in M 1.060 * [backup-simplify]: Simplify 1/4 into 1/4 1.060 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.061 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.061 * [taylor]: Taking taylor expansion of 1/2 in M 1.061 * [backup-simplify]: Simplify 1/2 into 1/2 1.061 * [taylor]: Taking taylor expansion of 1/4 in M 1.061 * [backup-simplify]: Simplify 1/4 into 1/4 1.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [backup-simplify]: Simplify (- 0) into 0 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 1.067 * [backup-simplify]: Simplify (+ 0 0) into 0 1.067 * [backup-simplify]: Simplify (- 0) into 0 1.068 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 1.069 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)))) into 0 1.069 * [backup-simplify]: Simplify (+ 0 0) into 0 1.070 * [backup-simplify]: Simplify (- 0) into 0 1.070 * [backup-simplify]: Simplify (+ 0 0) into 0 1.070 * [taylor]: Taking taylor expansion of 0 in n 1.070 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 1.073 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.073 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.073 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.073 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.073 * [taylor]: Taking taylor expansion of M in M 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (/ 1 1) into 1 1.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.075 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 1.075 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 1.075 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 1.075 * [taylor]: Taking taylor expansion of (/ 1 M) in M 1.075 * [taylor]: Taking taylor expansion of M in M 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (/ 1 1) into 1 1.076 * [taylor]: Taking taylor expansion of 0 in M 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (- 0) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [backup-simplify]: Simplify (- 0) into 0 1.087 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 1.088 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (- 0) into 0 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [taylor]: Taking taylor expansion of 0 in n 1.089 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.091 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.091 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 1.091 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 1.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.091 * [backup-simplify]: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) into (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) 1.091 * [backup-simplify]: Simplify (+ 0 (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) into (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) 1.092 * [backup-simplify]: Simplify (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) 1.092 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)))) into (- (/ 1 (pow M 2)) (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) 1.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow M 2)) (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) in M 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 1.092 * [taylor]: Taking taylor expansion of (pow M 2) in M 1.092 * [taylor]: Taking taylor expansion of M in M 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (* 1 1) into 1 1.092 * [backup-simplify]: Simplify (/ 1 1) into 1 1.092 * [taylor]: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) in M 1.092 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in M 1.092 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 1.092 * [taylor]: Taking taylor expansion of (/ 1 l) in M 1.092 * [taylor]: Taking taylor expansion of l in M 1.093 * [backup-simplify]: Simplify l into l 1.093 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 1.093 * [backup-simplify]: Simplify (+ 1 0) into 1 1.093 * [taylor]: Taking taylor expansion of 1 in l 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 1.094 * [backup-simplify]: Simplify (- 0) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [taylor]: Taking taylor expansion of 0 in M 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [taylor]: Taking taylor expansion of 0 in M 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify (- 1) into -1 1.095 * [taylor]: Taking taylor expansion of -1 in l 1.095 * [backup-simplify]: Simplify -1 into -1 1.095 * [backup-simplify]: Simplify (- 1) into -1 1.095 * [taylor]: Taking taylor expansion of -1 in l 1.095 * [backup-simplify]: Simplify -1 into -1 1.095 * [taylor]: Taking taylor expansion of 1/4 in l 1.095 * [backup-simplify]: Simplify 1/4 into 1/4 1.095 * [taylor]: Taking taylor expansion of 1/2 in l 1.095 * [backup-simplify]: Simplify 1/2 into 1/2 1.095 * [taylor]: Taking taylor expansion of 1/4 in l 1.095 * [backup-simplify]: Simplify 1/4 into 1/4 1.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify (- 0) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (- 0) into 0 1.107 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))))) into 0 1.108 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 1.109 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [backup-simplify]: Simplify (- 0) into 0 1.109 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [taylor]: Taking taylor expansion of 0 in n 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [taylor]: Taking taylor expansion of 0 in M 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 1.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 1.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.111 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.113 * [backup-simplify]: Simplify (- 0) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.113 * [taylor]: Taking taylor expansion of 0 in M 1.113 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 1.115 * [backup-simplify]: Simplify (- 0) into 0 1.115 * [backup-simplify]: Simplify (+ 0 0) into 0 1.115 * [taylor]: Taking taylor expansion of 0 in M 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [taylor]: Taking taylor expansion of 0 in M 1.115 * [backup-simplify]: Simplify 0 into 0 1.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.116 * [taylor]: Taking taylor expansion of 0 in l 1.116 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (- 0) into 0 1.117 * [taylor]: Taking taylor expansion of 0 in l 1.117 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.118 * [backup-simplify]: Simplify (- 0) into 0 1.118 * [taylor]: Taking taylor expansion of 0 in l 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [taylor]: Taking taylor expansion of 0 in l 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [taylor]: Taking taylor expansion of 0 in l 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [taylor]: Taking taylor expansion of 0 in l 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [taylor]: Taking taylor expansion of 0 in l 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.118 * [backup-simplify]: Simplify -1 into -1 1.118 * [backup-simplify]: Simplify -1 into -1 1.119 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m))))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 1.119 * * * [progress]: simplifying candidates 1.119 * * * * [progress]: [ 1 / 113 ] simplifiying candidate # 1.119 * * * * [progress]: [ 2 / 113 ] simplifiying candidate # 1.119 * * * * [progress]: [ 3 / 113 ] simplifiying candidate # 1.119 * [simplify]: Simplifying (* (cos (fma (/ K 2) (+ m n) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) 1.120 * * [simplify]: iters left: 6 (17 enodes) 1.123 * * [simplify]: iters left: 5 (62 enodes) 1.142 * * [simplify]: iters left: 4 (85 enodes) 1.156 * * [simplify]: iters left: 3 (137 enodes) 1.176 * * [simplify]: iters left: 2 (200 enodes) 1.209 * * [simplify]: iters left: 1 (222 enodes) 1.235 * * [simplify]: Extracting #0: cost 1 inf + 0 1.235 * * [simplify]: Extracting #1: cost 4 inf + 0 1.235 * * [simplify]: Extracting #2: cost 8 inf + 0 1.235 * * [simplify]: Extracting #3: cost 32 inf + 0 1.235 * * [simplify]: Extracting #4: cost 46 inf + 713 1.236 * * [simplify]: Extracting #5: cost 40 inf + 1673 1.237 * * [simplify]: Extracting #6: cost 8 inf + 5002 1.239 * * [simplify]: Extracting #7: cost 1 inf + 6159 1.240 * * [simplify]: Extracting #8: cost 0 inf + 6323 1.242 * [simplify]: Simplified to (* (cos (+ (- M) M)) (cos (- (* (/ K 2) (+ m n)) M))) 1.242 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (+ (- M) M)) (cos (- (* (/ K 2) (+ m n)) M))) (* (sin (fma (/ K 2) (+ m n) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M))))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.242 * * * * [progress]: [ 4 / 113 ] simplifiying candidate # 1.243 * [simplify]: Simplifying (* (cos (fma (/ K 2) (+ m n) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) 1.243 * * [simplify]: iters left: 6 (16 enodes) 1.249 * * [simplify]: iters left: 5 (52 enodes) 1.265 * * [simplify]: iters left: 4 (70 enodes) 1.288 * * [simplify]: iters left: 3 (128 enodes) 1.307 * * [simplify]: iters left: 2 (178 enodes) 1.326 * * [simplify]: iters left: 1 (193 enodes) 1.353 * * [simplify]: Extracting #0: cost 1 inf + 0 1.353 * * [simplify]: Extracting #1: cost 4 inf + 0 1.353 * * [simplify]: Extracting #2: cost 5 inf + 1 1.354 * * [simplify]: Extracting #3: cost 26 inf + 1 1.354 * * [simplify]: Extracting #4: cost 42 inf + 210 1.354 * * [simplify]: Extracting #5: cost 39 inf + 708 1.355 * * [simplify]: Extracting #6: cost 12 inf + 3464 1.356 * * [simplify]: Extracting #7: cost 2 inf + 4620 1.358 * * [simplify]: Extracting #8: cost 0 inf + 4878 1.361 * [simplify]: Simplified to (* 1 (cos (- (* (/ K 2) (+ m n)) M))) 1.361 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* 1 (cos (- (* (/ K 2) (+ m n)) M))) (* (sin (fma (/ K 2) (+ m n) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M)))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.361 * * * * [progress]: [ 5 / 113 ] simplifiying candidate # 1.361 * [simplify]: Simplifying (* (cos (fma (/ K 2) (+ m n) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) 1.361 * * [simplify]: iters left: 6 (16 enodes) 1.366 * * [simplify]: iters left: 5 (52 enodes) 1.374 * * [simplify]: iters left: 4 (74 enodes) 1.398 * * [simplify]: iters left: 3 (133 enodes) 1.422 * * [simplify]: iters left: 2 (186 enodes) 1.443 * * [simplify]: iters left: 1 (200 enodes) 1.466 * * [simplify]: Extracting #0: cost 1 inf + 0 1.467 * * [simplify]: Extracting #1: cost 4 inf + 0 1.467 * * [simplify]: Extracting #2: cost 8 inf + 0 1.467 * * [simplify]: Extracting #3: cost 29 inf + 0 1.467 * * [simplify]: Extracting #4: cost 44 inf + 88 1.467 * * [simplify]: Extracting #5: cost 41 inf + 783 1.468 * * [simplify]: Extracting #6: cost 8 inf + 4202 1.470 * * [simplify]: Extracting #7: cost 0 inf + 5306 1.471 * [simplify]: Simplified to (* (cos (+ (- M) M)) (cos (fma (+ m n) (/ K 2) (- M)))) 1.471 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (+ (- M) M)) (cos (fma (+ m n) (/ K 2) (- M)))) (* (sin (fma (/ K 2) (+ m n) (- (* M 1)))) (sin (fma (- M) 1 (* M 1))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.471 * * * * [progress]: [ 6 / 113 ] simplifiying candidate # 1.472 * [simplify]: Simplifying (* (cos (* (/ K 2) (+ m n))) (cos (- M))) 1.472 * * [simplify]: iters left: 6 (12 enodes) 1.478 * * [simplify]: iters left: 5 (48 enodes) 1.494 * * [simplify]: iters left: 4 (78 enodes) 1.505 * * [simplify]: iters left: 3 (101 enodes) 1.517 * * [simplify]: iters left: 2 (112 enodes) 1.536 * * [simplify]: iters left: 1 (124 enodes) 1.553 * * [simplify]: Extracting #0: cost 1 inf + 0 1.553 * * [simplify]: Extracting #1: cost 4 inf + 0 1.553 * * [simplify]: Extracting #2: cost 9 inf + 0 1.553 * * [simplify]: Extracting #3: cost 26 inf + 62 1.553 * * [simplify]: Extracting #4: cost 34 inf + 210 1.553 * * [simplify]: Extracting #5: cost 10 inf + 2384 1.554 * * [simplify]: Extracting #6: cost 0 inf + 3393 1.555 * [simplify]: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) 1.555 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (* (/ K 2) (+ m n))) (sin (- M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.555 * * * * [progress]: [ 7 / 113 ] simplifiying candidate # 1.556 * [simplify]: Simplifying (* (cos (* (/ K 2) m)) (cos (- (* (/ K 2) n) M))) 1.556 * * [simplify]: iters left: 6 (12 enodes) 1.559 * * [simplify]: iters left: 5 (46 enodes) 1.566 * * [simplify]: iters left: 4 (62 enodes) 1.574 * * [simplify]: iters left: 3 (66 enodes) 1.588 * * [simplify]: Extracting #0: cost 1 inf + 0 1.588 * * [simplify]: Extracting #1: cost 4 inf + 0 1.588 * * [simplify]: Extracting #2: cost 8 inf + 0 1.588 * * [simplify]: Extracting #3: cost 20 inf + 0 1.588 * * [simplify]: Extracting #4: cost 21 inf + 46 1.589 * * [simplify]: Extracting #5: cost 9 inf + 939 1.589 * * [simplify]: Extracting #6: cost 0 inf + 2391 1.590 * [simplify]: Simplified to (* (cos (* (/ K 2) m)) (cos (- (* n (/ K 2)) M))) 1.590 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (* (/ K 2) m)) (cos (- (* n (/ K 2)) M))) (* (sin (* (/ K 2) m)) (sin (- (* (/ K 2) n) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.591 * * * * [progress]: [ 8 / 113 ] simplifiying candidate # 1.591 * [simplify]: Simplifying (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) 1.591 * * [simplify]: iters left: 6 (12 enodes) 1.597 * * [simplify]: iters left: 5 (46 enodes) 1.610 * * [simplify]: iters left: 4 (61 enodes) 1.619 * * [simplify]: iters left: 3 (67 enodes) 1.628 * * [simplify]: iters left: 2 (75 enodes) 1.650 * * [simplify]: iters left: 1 (81 enodes) 1.672 * * [simplify]: Extracting #0: cost 1 inf + 0 1.672 * * [simplify]: Extracting #1: cost 4 inf + 0 1.672 * * [simplify]: Extracting #2: cost 8 inf + 0 1.672 * * [simplify]: Extracting #3: cost 22 inf + 0 1.672 * * [simplify]: Extracting #4: cost 23 inf + 310 1.673 * * [simplify]: Extracting #5: cost 6 inf + 1769 1.674 * * [simplify]: Extracting #6: cost 0 inf + 2643 1.675 * [simplify]: Simplified to (* (cos (* (/ K 2) m)) (cos (- (* (/ K 2) n) M))) 1.675 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (* (/ K 2) m)) (cos (- (* (/ K 2) n) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.676 * * * * [progress]: [ 9 / 113 ] simplifiying candidate # 1.676 * [simplify]: Simplifying (* (cos (* (/ K 2) (+ m n))) (cos (- M))) 1.676 * * [simplify]: iters left: 6 (12 enodes) 1.682 * * [simplify]: iters left: 5 (48 enodes) 1.698 * * [simplify]: iters left: 4 (78 enodes) 1.720 * * [simplify]: iters left: 3 (101 enodes) 1.732 * * [simplify]: iters left: 2 (112 enodes) 1.745 * * [simplify]: iters left: 1 (124 enodes) 1.764 * * [simplify]: Extracting #0: cost 1 inf + 0 1.764 * * [simplify]: Extracting #1: cost 4 inf + 0 1.765 * * [simplify]: Extracting #2: cost 9 inf + 0 1.765 * * [simplify]: Extracting #3: cost 26 inf + 62 1.765 * * [simplify]: Extracting #4: cost 34 inf + 210 1.766 * * [simplify]: Extracting #5: cost 10 inf + 2384 1.768 * * [simplify]: Extracting #6: cost 0 inf + 3393 1.769 * [simplify]: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) 1.769 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (* (/ K 2) (+ m n))) (sin (- M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.770 * * * * [progress]: [ 10 / 113 ] simplifiying candidate # 1.770 * [simplify]: Simplifying (* (cos (* (/ K 2) (+ m n))) (cos M)) 1.770 * * [simplify]: iters left: 6 (11 enodes) 1.776 * * [simplify]: iters left: 5 (44 enodes) 1.790 * * [simplify]: iters left: 4 (74 enodes) 1.810 * * [simplify]: iters left: 3 (97 enodes) 1.831 * * [simplify]: iters left: 2 (108 enodes) 1.857 * * [simplify]: iters left: 1 (120 enodes) 1.886 * * [simplify]: Extracting #0: cost 1 inf + 0 1.886 * * [simplify]: Extracting #1: cost 4 inf + 0 1.886 * * [simplify]: Extracting #2: cost 8 inf + 0 1.886 * * [simplify]: Extracting #3: cost 24 inf + 62 1.886 * * [simplify]: Extracting #4: cost 32 inf + 252 1.889 * * [simplify]: Extracting #5: cost 12 inf + 1935 1.891 * * [simplify]: Extracting #6: cost 0 inf + 3311 1.892 * [simplify]: Simplified to (* (cos M) (cos (* (/ K 2) (+ m n)))) 1.893 * [simplify]: Simplified (2 1 1) to (λ (K m n M l) (/ (+ (* (cos M) (cos (* (/ K 2) (+ m n)))) (* (sin (* (/ K 2) (+ m n))) (sin M))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.893 * * * * [progress]: [ 11 / 113 ] simplifiying candidate # 1.893 * * * * [progress]: [ 12 / 113 ] simplifiying candidate # 1.893 * * * * [progress]: [ 13 / 113 ] simplifiying candidate # 1.893 * * * * [progress]: [ 14 / 113 ] simplifiying candidate # 1.893 * * * * [progress]: [ 15 / 113 ] simplifiying candidate # 1.893 * * * * [progress]: [ 16 / 113 ] simplifiying candidate # 1.893 * * * * [progress]: [ 17 / 113 ] simplifiying candidate # 1.893 * * * * [progress]: [ 18 / 113 ] simplifiying candidate #real (real->posit16 (cos (- (* (/ K 2) (+ m n)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 1.893 * * * * [progress]: [ 19 / 113 ] simplifiying candidate # 1.894 * * * * [progress]: [ 20 / 113 ] simplifiying candidate # 1.894 * * * * [progress]: [ 21 / 113 ] simplifiying candidate # 1.894 * * * * [progress]: [ 22 / 113 ] simplifiying candidate # 1.894 * * * * [progress]: [ 23 / 113 ] simplifiying candidate # 1.894 * * * * [progress]: [ 24 / 113 ] simplifiying candidate # 1.894 * * * * [progress]: [ 25 / 113 ] simplifiying candidate # 1.894 * * * * [progress]: [ 26 / 113 ] simplifiying candidate # 1.894 * * * * [progress]: [ 27 / 113 ] simplifiying candidate # 1.894 * * * * [progress]: [ 28 / 113 ] simplifiying candidate # 1.894 * * * * [progress]: [ 29 / 113 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (fabs (- m n))))))> 1.894 * * * * [progress]: [ 30 / 113 ] simplifiying candidate # 1.894 * * * * [progress]: [ 31 / 113 ] simplifiying candidate # 1.894 * * * * [progress]: [ 32 / 113 ] simplifiying candidate # 1.895 * [simplify]: Simplifying (* (/ K 2) (+ m n)) 1.895 * * [simplify]: iters left: 4 (7 enodes) 1.899 * * [simplify]: iters left: 3 (31 enodes) 1.910 * * [simplify]: iters left: 2 (61 enodes) 1.928 * * [simplify]: iters left: 1 (84 enodes) 1.946 * * [simplify]: Extracting #0: cost 1 inf + 0 1.946 * * [simplify]: Extracting #1: cost 13 inf + 0 1.946 * * [simplify]: Extracting #2: cost 21 inf + 46 1.947 * * [simplify]: Extracting #3: cost 6 inf + 1295 1.948 * * [simplify]: Extracting #4: cost 0 inf + 1588 1.949 * [simplify]: Simplified to (* (/ K 2) (+ m n)) 1.949 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (pow (* (/ K 2) (+ m n)) 1) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 1.949 * * * * [progress]: [ 33 / 113 ] simplifiying candidate # 1.949 * * * * [progress]: [ 34 / 113 ] simplifiying candidate # 1.950 * [simplify]: Simplifying (+ (- (log K) (log 2)) (log (+ m n))) 1.950 * * [simplify]: iters left: 5 (10 enodes) 1.955 * * [simplify]: iters left: 4 (36 enodes) 1.965 * * [simplify]: iters left: 3 (50 enodes) 1.980 * * [simplify]: iters left: 2 (67 enodes) 2.000 * * [simplify]: iters left: 1 (74 enodes) 2.016 * * [simplify]: Extracting #0: cost 1 inf + 0 2.016 * * [simplify]: Extracting #1: cost 13 inf + 0 2.016 * * [simplify]: Extracting #2: cost 25 inf + 0 2.016 * * [simplify]: Extracting #3: cost 22 inf + 366 2.016 * * [simplify]: Extracting #4: cost 15 inf + 1056 2.016 * * [simplify]: Extracting #5: cost 10 inf + 1698 2.017 * * [simplify]: Extracting #6: cost 2 inf + 3451 2.018 * * [simplify]: Extracting #7: cost 0 inf + 3937 2.018 * [simplify]: Simplified to (+ (log (+ m n)) (- (log K) (log 2))) 2.018 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (exp (+ (log (+ m n)) (- (log K) (log 2)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 2.018 * * * * [progress]: [ 35 / 113 ] simplifiying candidate # 2.019 * [simplify]: Simplifying (+ (log (/ K 2)) (log (+ m n))) 2.019 * * [simplify]: iters left: 5 (9 enodes) 2.022 * * [simplify]: iters left: 4 (32 enodes) 2.028 * * [simplify]: iters left: 3 (42 enodes) 2.035 * * [simplify]: iters left: 2 (57 enodes) 2.043 * * [simplify]: iters left: 1 (73 enodes) 2.059 * * [simplify]: Extracting #0: cost 1 inf + 0 2.059 * * [simplify]: Extracting #1: cost 12 inf + 0 2.059 * * [simplify]: Extracting #2: cost 25 inf + 0 2.059 * * [simplify]: Extracting #3: cost 26 inf + 73 2.060 * * [simplify]: Extracting #4: cost 17 inf + 596 2.060 * * [simplify]: Extracting #5: cost 5 inf + 2475 2.061 * * [simplify]: Extracting #6: cost 0 inf + 3559 2.061 * [simplify]: Simplified to (+ (log (/ K 2)) (log (+ n m))) 2.061 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (exp (+ (log (/ K 2)) (log (+ n m)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 2.061 * * * * [progress]: [ 36 / 113 ] simplifiying candidate # 2.062 * * * * [progress]: [ 37 / 113 ] simplifiying candidate # 2.062 * * * * [progress]: [ 38 / 113 ] simplifiying candidate # 2.062 * [simplify]: Simplifying (* (/ (* (* K K) K) (* (* 2 2) 2)) (* (* (+ m n) (+ m n)) (+ m n))) 2.062 * * [simplify]: iters left: 6 (13 enodes) 2.066 * * [simplify]: iters left: 5 (69 enodes) 2.083 * * [simplify]: iters left: 4 (257 enodes) 2.196 * * [simplify]: Extracting #0: cost 1 inf + 0 2.196 * * [simplify]: Extracting #1: cost 43 inf + 0 2.197 * * [simplify]: Extracting #2: cost 225 inf + 48 2.199 * * [simplify]: Extracting #3: cost 255 inf + 9845 2.210 * * [simplify]: Extracting #4: cost 8 inf + 54274 2.232 * * [simplify]: Extracting #5: cost 0 inf + 55832 2.247 * [simplify]: Simplified to (* (/ (* (* K (+ m n)) (* K (+ m n))) (/ 8 K)) (+ m n)) 2.247 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (cbrt (* (/ (* (* K (+ m n)) (* K (+ m n))) (/ 8 K)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 2.247 * * * * [progress]: [ 39 / 113 ] simplifiying candidate # 2.247 * [simplify]: Simplifying (* (* (* (/ K 2) (/ K 2)) (/ K 2)) (* (* (+ m n) (+ m n)) (+ m n))) 2.247 * * [simplify]: iters left: 6 (11 enodes) 2.253 * * [simplify]: iters left: 5 (59 enodes) 2.277 * * [simplify]: iters left: 4 (238 enodes) 2.394 * * [simplify]: Extracting #0: cost 1 inf + 0 2.395 * * [simplify]: Extracting #1: cost 38 inf + 0 2.395 * * [simplify]: Extracting #2: cost 205 inf + 3 2.398 * * [simplify]: Extracting #3: cost 216 inf + 8168 2.407 * * [simplify]: Extracting #4: cost 22 inf + 45267 2.434 * * [simplify]: Extracting #5: cost 0 inf + 50111 2.454 * * [simplify]: Extracting #6: cost 0 inf + 49751 2.466 * [simplify]: Simplified to (* (* (+ m n) (/ K 2)) (* (* (+ m n) (/ K 2)) (* (+ m n) (/ K 2)))) 2.466 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (cbrt (* (* (+ m n) (/ K 2)) (* (* (+ m n) (/ K 2)) (* (+ m n) (/ K 2))))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 2.466 * * * * [progress]: [ 40 / 113 ] simplifiying candidate # 2.466 * * * * [progress]: [ 41 / 113 ] simplifiying candidate # 2.467 * * * * [progress]: [ 42 / 113 ] simplifiying candidate # 2.467 * * * * [progress]: [ 43 / 113 ] simplifiying candidate # 2.467 * [simplify]: Simplifying (* K (+ (pow m 3) (pow n 3))) 2.467 * * [simplify]: iters left: 5 (8 enodes) 2.470 * * [simplify]: iters left: 4 (45 enodes) 2.485 * * [simplify]: iters left: 3 (114 enodes) 2.510 * * [simplify]: iters left: 2 (225 enodes) 2.565 * * [simplify]: iters left: 1 (390 enodes) 2.651 * * [simplify]: Extracting #0: cost 1 inf + 0 2.651 * * [simplify]: Extracting #1: cost 20 inf + 0 2.651 * * [simplify]: Extracting #2: cost 82 inf + 125 2.653 * * [simplify]: Extracting #3: cost 122 inf + 3013 2.656 * * [simplify]: Extracting #4: cost 88 inf + 12182 2.664 * * [simplify]: Extracting #5: cost 26 inf + 40462 2.680 * * [simplify]: Extracting #6: cost 0 inf + 52771 2.690 * * [simplify]: Extracting #7: cost 0 inf + 52480 2.701 * [simplify]: Simplified to (* K (fma n (* n n) (* (* m m) m))) 2.701 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ (* K (fma n (* n n) (* (* m m) m))) (* 2 (+ (* m m) (- (* n n) (* m n))))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 2.702 * [simplify]: Simplifying (* 2 (+ (* m m) (- (* n n) (* m n)))) 2.702 * * [simplify]: iters left: 6 (9 enodes) 2.707 * * [simplify]: iters left: 5 (44 enodes) 2.723 * * [simplify]: iters left: 4 (93 enodes) 2.756 * * [simplify]: iters left: 3 (191 enodes) 2.831 * * [simplify]: iters left: 2 (318 enodes) 2.949 * * [simplify]: iters left: 1 (407 enodes) 3.036 * * [simplify]: Extracting #0: cost 1 inf + 0 3.037 * * [simplify]: Extracting #1: cost 33 inf + 0 3.037 * * [simplify]: Extracting #2: cost 61 inf + 532 3.039 * * [simplify]: Extracting #3: cost 17 inf + 4712 3.042 * * [simplify]: Extracting #4: cost 0 inf + 6405 3.045 * [simplify]: Simplified to (* (fma n (- n m) (* m m)) 2) 3.045 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (/ (* K (fma n (* n n) (* (* m m) m))) (* (fma n (- n m) (* m m)) 2)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.045 * * * * [progress]: [ 44 / 113 ] simplifiying candidate # 3.045 * [simplify]: Simplifying (* K (- (* m m) (* n n))) 3.045 * * [simplify]: iters left: 6 (7 enodes) 3.047 * * [simplify]: iters left: 5 (28 enodes) 3.051 * * [simplify]: iters left: 4 (51 enodes) 3.060 * * [simplify]: iters left: 3 (117 enodes) 3.120 * * [simplify]: iters left: 2 (307 enodes) 3.259 * * [simplify]: Extracting #0: cost 1 inf + 0 3.259 * * [simplify]: Extracting #1: cost 59 inf + 0 3.260 * * [simplify]: Extracting #2: cost 123 inf + 371 3.264 * * [simplify]: Extracting #3: cost 43 inf + 10178 3.269 * * [simplify]: Extracting #4: cost 0 inf + 16557 3.274 * [simplify]: Simplified to (* (+ m n) (* K (- m n))) 3.274 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) (* K (- m n))) (* 2 (- m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.274 * [simplify]: Simplifying (* 2 (- m n)) 3.274 * * [simplify]: iters left: 4 (5 enodes) 3.276 * * [simplify]: iters left: 3 (18 enodes) 3.279 * * [simplify]: iters left: 2 (27 enodes) 3.284 * * [simplify]: iters left: 1 (43 enodes) 3.291 * * [simplify]: Extracting #0: cost 1 inf + 0 3.291 * * [simplify]: Extracting #1: cost 9 inf + 0 3.291 * * [simplify]: Extracting #2: cost 14 inf + 2 3.291 * * [simplify]: Extracting #3: cost 6 inf + 254 3.291 * * [simplify]: Extracting #4: cost 0 inf + 588 3.291 * [simplify]: Simplified to (* (- m n) 2) 3.291 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) (* K (- m n))) (* (- m n) 2)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.291 * * * * [progress]: [ 45 / 113 ] simplifiying candidate # 3.291 * * * * [progress]: [ 46 / 113 ] simplifiying candidate # 3.292 * [simplify]: Simplifying (* (sqrt (/ K 2)) (sqrt (+ m n))) 3.292 * * [simplify]: iters left: 5 (9 enodes) 3.294 * * [simplify]: iters left: 4 (29 enodes) 3.298 * * [simplify]: Extracting #0: cost 1 inf + 0 3.298 * * [simplify]: Extracting #1: cost 4 inf + 0 3.298 * * [simplify]: Extracting #2: cost 8 inf + 0 3.298 * * [simplify]: Extracting #3: cost 14 inf + 0 3.298 * * [simplify]: Extracting #4: cost 10 inf + 4 3.298 * * [simplify]: Extracting #5: cost 4 inf + 376 3.298 * * [simplify]: Extracting #6: cost 1 inf + 704 3.299 * * [simplify]: Extracting #7: cost 0 inf + 908 3.299 * [simplify]: Simplified to (* (sqrt (/ K 2)) (sqrt (+ n m))) 3.299 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (* (sqrt (/ K 2)) (sqrt (+ n m))) (* (sqrt (/ K 2)) (sqrt (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.299 * [simplify]: Simplifying (* (sqrt (/ K 2)) (sqrt (+ m n))) 3.299 * * [simplify]: iters left: 5 (9 enodes) 3.303 * * [simplify]: iters left: 4 (29 enodes) 3.311 * * [simplify]: Extracting #0: cost 1 inf + 0 3.311 * * [simplify]: Extracting #1: cost 4 inf + 0 3.311 * * [simplify]: Extracting #2: cost 8 inf + 0 3.311 * * [simplify]: Extracting #3: cost 14 inf + 0 3.311 * * [simplify]: Extracting #4: cost 10 inf + 4 3.312 * * [simplify]: Extracting #5: cost 4 inf + 376 3.312 * * [simplify]: Extracting #6: cost 1 inf + 704 3.312 * * [simplify]: Extracting #7: cost 0 inf + 908 3.313 * [simplify]: Simplified to (* (sqrt (/ K 2)) (sqrt (+ n m))) 3.313 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (* (* (sqrt (/ K 2)) (sqrt (+ m n))) (* (sqrt (/ K 2)) (sqrt (+ n m)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.313 * * * * [progress]: [ 47 / 113 ] simplifiying candidate # 3.313 * [simplify]: Simplifying (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) 3.313 * * [simplify]: iters left: 5 (10 enodes) 3.319 * * [simplify]: iters left: 4 (34 enodes) 3.329 * * [simplify]: iters left: 3 (40 enodes) 3.341 * * [simplify]: iters left: 2 (42 enodes) 3.352 * * [simplify]: Extracting #0: cost 1 inf + 0 3.352 * * [simplify]: Extracting #1: cost 8 inf + 0 3.352 * * [simplify]: Extracting #2: cost 17 inf + 0 3.352 * * [simplify]: Extracting #3: cost 17 inf + 43 3.352 * * [simplify]: Extracting #4: cost 11 inf + 211 3.352 * * [simplify]: Extracting #5: cost 2 inf + 1474 3.353 * * [simplify]: Extracting #6: cost 0 inf + 1800 3.353 * [simplify]: Simplified to (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) 3.353 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.353 * [simplify]: Simplifying (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) 3.353 * * [simplify]: iters left: 5 (10 enodes) 3.358 * * [simplify]: iters left: 4 (34 enodes) 3.364 * * [simplify]: iters left: 3 (40 enodes) 3.369 * * [simplify]: iters left: 2 (42 enodes) 3.375 * * [simplify]: Extracting #0: cost 1 inf + 0 3.375 * * [simplify]: Extracting #1: cost 8 inf + 0 3.375 * * [simplify]: Extracting #2: cost 17 inf + 0 3.375 * * [simplify]: Extracting #3: cost 17 inf + 43 3.375 * * [simplify]: Extracting #4: cost 11 inf + 211 3.376 * * [simplify]: Extracting #5: cost 2 inf + 1474 3.376 * * [simplify]: Extracting #6: cost 0 inf + 1800 3.376 * [simplify]: Simplified to (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) 3.376 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (* (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n))) (* (/ (sqrt K) (sqrt 2)) (sqrt (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.377 * * * * [progress]: [ 48 / 113 ] simplifiying candidate # 3.377 * [simplify]: Simplifying (* (/ K 2) n) 3.377 * * [simplify]: iters left: 4 (5 enodes) 3.378 * * [simplify]: iters left: 3 (18 enodes) 3.381 * * [simplify]: iters left: 2 (24 enodes) 3.384 * * [simplify]: iters left: 1 (26 enodes) 3.388 * * [simplify]: Extracting #0: cost 1 inf + 0 3.388 * * [simplify]: Extracting #1: cost 8 inf + 0 3.388 * * [simplify]: Extracting #2: cost 7 inf + 45 3.388 * * [simplify]: Extracting #3: cost 0 inf + 421 3.388 * [simplify]: Simplified to (/ K (/ 2 n)) 3.388 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (+ (* (/ K 2) m) (/ K (/ 2 n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.388 * * * * [progress]: [ 49 / 113 ] simplifiying candidate # 3.388 * [simplify]: Simplifying (* n (/ K 2)) 3.388 * * [simplify]: iters left: 4 (5 enodes) 3.390 * * [simplify]: iters left: 3 (18 enodes) 3.393 * * [simplify]: iters left: 2 (24 enodes) 3.399 * * [simplify]: iters left: 1 (28 enodes) 3.406 * * [simplify]: Extracting #0: cost 1 inf + 0 3.406 * * [simplify]: Extracting #1: cost 10 inf + 0 3.406 * * [simplify]: Extracting #2: cost 9 inf + 87 3.406 * * [simplify]: Extracting #3: cost 0 inf + 547 3.407 * [simplify]: Simplified to (* (/ K 2) n) 3.407 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (+ (* m (/ K 2)) (* (/ K 2) n)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.407 * * * * [progress]: [ 50 / 113 ] simplifiying candidate # 3.407 * [simplify]: Simplifying (cbrt (+ m n)) 3.407 * * [simplify]: iters left: 3 (4 enodes) 3.409 * * [simplify]: iters left: 2 (13 enodes) 3.412 * * [simplify]: Extracting #0: cost 1 inf + 0 3.412 * * [simplify]: Extracting #1: cost 3 inf + 0 3.412 * * [simplify]: Extracting #2: cost 6 inf + 0 3.412 * * [simplify]: Extracting #3: cost 4 inf + 2 3.412 * * [simplify]: Extracting #4: cost 0 inf + 330 3.412 * [simplify]: Simplified to (cbrt (+ n m)) 3.412 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (* (* (/ K 2) (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ n m))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.412 * * * * [progress]: [ 51 / 113 ] simplifiying candidate # 3.413 * [simplify]: Simplifying (sqrt (+ m n)) 3.413 * * [simplify]: iters left: 3 (4 enodes) 3.414 * * [simplify]: iters left: 2 (13 enodes) 3.417 * * [simplify]: Extracting #0: cost 1 inf + 0 3.417 * * [simplify]: Extracting #1: cost 3 inf + 0 3.417 * * [simplify]: Extracting #2: cost 6 inf + 0 3.417 * * [simplify]: Extracting #3: cost 4 inf + 2 3.418 * * [simplify]: Extracting #4: cost 0 inf + 250 3.418 * [simplify]: Simplified to (sqrt (+ n m)) 3.418 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (* (* (/ K 2) (sqrt (+ m n))) (sqrt (+ n m))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.418 * * * * [progress]: [ 52 / 113 ] simplifiying candidate # 3.418 * [simplify]: Simplifying (+ m n) 3.418 * * [simplify]: iters left: 2 (3 enodes) 3.419 * * [simplify]: iters left: 1 (10 enodes) 3.422 * * [simplify]: Extracting #0: cost 1 inf + 0 3.422 * * [simplify]: Extracting #1: cost 4 inf + 0 3.422 * * [simplify]: Extracting #2: cost 2 inf + 2 3.422 * * [simplify]: Extracting #3: cost 0 inf + 86 3.422 * [simplify]: Simplified to (+ n m) 3.422 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (* (* (/ K 2) 1) (+ n m)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.422 * * * * [progress]: [ 53 / 113 ] simplifiying candidate # 3.423 * [simplify]: Simplifying (+ m n) 3.423 * * [simplify]: iters left: 2 (3 enodes) 3.425 * * [simplify]: iters left: 1 (10 enodes) 3.428 * * [simplify]: Extracting #0: cost 1 inf + 0 3.428 * * [simplify]: Extracting #1: cost 4 inf + 0 3.428 * * [simplify]: Extracting #2: cost 2 inf + 2 3.428 * * [simplify]: Extracting #3: cost 0 inf + 86 3.428 * [simplify]: Simplified to (+ n m) 3.428 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (* (* (/ K 2) 1) (+ n m)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.428 * * * * [progress]: [ 54 / 113 ] simplifiying candidate # 3.429 * [simplify]: Simplifying (* (cbrt (/ K 2)) (cbrt (/ K 2))) 3.429 * * [simplify]: iters left: 5 (5 enodes) 3.432 * * [simplify]: iters left: 4 (15 enodes) 3.436 * * [simplify]: Extracting #0: cost 1 inf + 0 3.437 * * [simplify]: Extracting #1: cost 3 inf + 0 3.437 * * [simplify]: Extracting #2: cost 5 inf + 0 3.437 * * [simplify]: Extracting #3: cost 8 inf + 0 3.437 * * [simplify]: Extracting #4: cost 6 inf + 2 3.437 * * [simplify]: Extracting #5: cost 0 inf + 654 3.437 * [simplify]: Simplified to (* (cbrt (/ K 2)) (cbrt (/ K 2))) 3.437 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (* (cbrt (/ K 2)) (cbrt (/ K 2))) (* (cbrt (/ K 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.437 * * * * [progress]: [ 55 / 113 ] simplifiying candidate # 3.438 * [simplify]: Simplifying (sqrt (/ K 2)) 3.438 * * [simplify]: iters left: 3 (4 enodes) 3.440 * * [simplify]: iters left: 2 (12 enodes) 3.444 * * [simplify]: Extracting #0: cost 1 inf + 0 3.444 * * [simplify]: Extracting #1: cost 3 inf + 0 3.444 * * [simplify]: Extracting #2: cost 6 inf + 0 3.444 * * [simplify]: Extracting #3: cost 4 inf + 2 3.444 * * [simplify]: Extracting #4: cost 0 inf + 250 3.444 * [simplify]: Simplified to (sqrt (/ K 2)) 3.444 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (sqrt (/ K 2)) (* (sqrt (/ K 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.444 * * * * [progress]: [ 56 / 113 ] simplifiying candidate # 3.445 * [simplify]: Simplifying (/ (* (cbrt K) (cbrt K)) (* (cbrt 2) (cbrt 2))) 3.445 * * [simplify]: iters left: 5 (7 enodes) 3.448 * * [simplify]: iters left: 4 (27 enodes) 3.453 * * [simplify]: iters left: 3 (42 enodes) 3.460 * * [simplify]: iters left: 2 (49 enodes) 3.468 * * [simplify]: iters left: 1 (52 enodes) 3.475 * * [simplify]: Extracting #0: cost 1 inf + 0 3.475 * * [simplify]: Extracting #1: cost 11 inf + 0 3.475 * * [simplify]: Extracting #2: cost 22 inf + 0 3.475 * * [simplify]: Extracting #3: cost 18 inf + 164 3.476 * * [simplify]: Extracting #4: cost 9 inf + 1617 3.476 * * [simplify]: Extracting #5: cost 0 inf + 3554 3.477 * [simplify]: Simplified to (* (/ (cbrt K) (cbrt 2)) (/ (cbrt K) (cbrt 2))) 3.477 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (* (/ (cbrt K) (cbrt 2)) (/ (cbrt K) (cbrt 2))) (* (/ (cbrt K) (cbrt 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.477 * * * * [progress]: [ 57 / 113 ] simplifiying candidate # 3.477 * [simplify]: Simplifying (/ (* (cbrt K) (cbrt K)) (sqrt 2)) 3.477 * * [simplify]: iters left: 5 (6 enodes) 3.479 * * [simplify]: iters left: 4 (20 enodes) 3.484 * * [simplify]: iters left: 3 (24 enodes) 3.492 * * [simplify]: iters left: 2 (27 enodes) 3.498 * * [simplify]: Extracting #0: cost 1 inf + 0 3.498 * * [simplify]: Extracting #1: cost 7 inf + 0 3.498 * * [simplify]: Extracting #2: cost 14 inf + 0 3.498 * * [simplify]: Extracting #3: cost 12 inf + 2 3.498 * * [simplify]: Extracting #4: cost 6 inf + 691 3.498 * * [simplify]: Extracting #5: cost 0 inf + 1540 3.498 * [simplify]: Simplified to (* (cbrt K) (/ (cbrt K) (sqrt 2))) 3.499 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (* (cbrt K) (/ (cbrt K) (sqrt 2))) (* (/ (cbrt K) (sqrt 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.499 * * * * [progress]: [ 58 / 113 ] simplifiying candidate # 3.499 * [simplify]: Simplifying (/ (* (cbrt K) (cbrt K)) 1) 3.499 * * [simplify]: iters left: 5 (5 enodes) 3.500 * * [simplify]: iters left: 4 (17 enodes) 3.503 * * [simplify]: iters left: 3 (27 enodes) 3.507 * * [simplify]: iters left: 2 (28 enodes) 3.511 * * [simplify]: Extracting #0: cost 1 inf + 0 3.511 * * [simplify]: Extracting #1: cost 5 inf + 0 3.511 * * [simplify]: Extracting #2: cost 7 inf + 1 3.511 * * [simplify]: Extracting #3: cost 6 inf + 2 3.511 * * [simplify]: Extracting #4: cost 1 inf + 528 3.511 * * [simplify]: Extracting #5: cost 0 inf + 650 3.511 * [simplify]: Simplified to (* (cbrt K) (cbrt K)) 3.511 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (* (cbrt K) (cbrt K)) (* (/ (cbrt K) 2) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.511 * * * * [progress]: [ 59 / 113 ] simplifiying candidate # 3.512 * [simplify]: Simplifying (/ (sqrt K) (* (cbrt 2) (cbrt 2))) 3.512 * * [simplify]: iters left: 5 (6 enodes) 3.513 * * [simplify]: iters left: 4 (20 enodes) 3.516 * * [simplify]: iters left: 3 (22 enodes) 3.520 * * [simplify]: Extracting #0: cost 1 inf + 0 3.520 * * [simplify]: Extracting #1: cost 6 inf + 0 3.520 * * [simplify]: Extracting #2: cost 12 inf + 0 3.520 * * [simplify]: Extracting #3: cost 10 inf + 2 3.520 * * [simplify]: Extracting #4: cost 0 inf + 1216 3.520 * [simplify]: Simplified to (/ (sqrt K) (* (cbrt 2) (cbrt 2))) 3.520 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (/ (sqrt K) (* (cbrt 2) (cbrt 2))) (* (/ (sqrt K) (cbrt 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.520 * * * * [progress]: [ 60 / 113 ] simplifiying candidate # 3.521 * [simplify]: Simplifying (/ (sqrt K) (sqrt 2)) 3.521 * * [simplify]: iters left: 3 (5 enodes) 3.522 * * [simplify]: iters left: 2 (15 enodes) 3.526 * * [simplify]: Extracting #0: cost 1 inf + 0 3.526 * * [simplify]: Extracting #1: cost 4 inf + 0 3.526 * * [simplify]: Extracting #2: cost 8 inf + 0 3.526 * * [simplify]: Extracting #3: cost 4 inf + 84 3.526 * * [simplify]: Extracting #4: cost 0 inf + 410 3.527 * [simplify]: Simplified to (/ (sqrt K) (sqrt 2)) 3.527 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (/ (sqrt K) (sqrt 2)) (* (/ (sqrt K) (sqrt 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.527 * * * * [progress]: [ 61 / 113 ] simplifiying candidate # 3.527 * [simplify]: Simplifying (/ (sqrt K) 1) 3.527 * * [simplify]: iters left: 3 (4 enodes) 3.529 * * [simplify]: iters left: 2 (12 enodes) 3.534 * * [simplify]: iters left: 1 (14 enodes) 3.538 * * [simplify]: Extracting #0: cost 1 inf + 0 3.538 * * [simplify]: Extracting #1: cost 4 inf + 0 3.538 * * [simplify]: Extracting #2: cost 0 inf + 84 3.539 * [simplify]: Simplified to (sqrt K) 3.539 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (sqrt K) (* (/ (sqrt K) 2) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.539 * * * * [progress]: [ 62 / 113 ] simplifiying candidate # 3.539 * [simplify]: Simplifying (/ 1 (* (cbrt 2) (cbrt 2))) 3.539 * * [simplify]: iters left: 5 (5 enodes) 3.543 * * [simplify]: iters left: 4 (19 enodes) 3.550 * * [simplify]: iters left: 3 (23 enodes) 3.557 * * [simplify]: Extracting #0: cost 1 inf + 0 3.557 * * [simplify]: Extracting #1: cost 6 inf + 0 3.557 * * [simplify]: Extracting #2: cost 9 inf + 1 3.557 * * [simplify]: Extracting #3: cost 1 inf + 852 3.558 * * [simplify]: Extracting #4: cost 0 inf + 974 3.558 * [simplify]: Simplified to (/ 1 (* (cbrt 2) (cbrt 2))) 3.558 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (/ 1 (* (cbrt 2) (cbrt 2))) (* (/ K (cbrt 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.558 * * * * [progress]: [ 63 / 113 ] simplifiying candidate # 3.559 * [simplify]: Simplifying (/ 1 (sqrt 2)) 3.559 * * [simplify]: iters left: 3 (4 enodes) 3.561 * * [simplify]: iters left: 2 (14 enodes) 3.564 * * [simplify]: iters left: 1 (16 enodes) 3.567 * * [simplify]: Extracting #0: cost 1 inf + 0 3.567 * * [simplify]: Extracting #1: cost 4 inf + 0 3.567 * * [simplify]: Extracting #2: cost 5 inf + 1 3.567 * * [simplify]: Extracting #3: cost 3 inf + 43 3.567 * * [simplify]: Extracting #4: cost 1 inf + 166 3.567 * * [simplify]: Extracting #5: cost 0 inf + 248 3.569 * [simplify]: Simplified to (/ 1 (sqrt 2)) 3.569 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* (/ 1 (sqrt 2)) (* (/ K (sqrt 2)) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.569 * * * * [progress]: [ 64 / 113 ] simplifiying candidate # 3.570 * [simplify]: Simplifying (/ 1 1) 3.570 * * [simplify]: iters left: 2 (2 enodes) 3.571 * * [simplify]: iters left: 1 (6 enodes) 3.572 * * [simplify]: Extracting #0: cost 1 inf + 0 3.572 * * [simplify]: Extracting #1: cost 0 inf + 1 3.572 * [simplify]: Simplified to 1 3.572 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (* 1 (* (/ K 2) (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.572 * * * * [progress]: [ 65 / 113 ] simplifiying candidate # 3.572 * * * * [progress]: [ 66 / 113 ] simplifiying candidate # 3.572 * * * * [progress]: [ 67 / 113 ] simplifiying candidate # 3.572 * [simplify]: Simplifying (+ (* m m) (- (* n n) (* m n))) 3.572 * * [simplify]: iters left: 6 (7 enodes) 3.574 * * [simplify]: iters left: 5 (31 enodes) 3.579 * * [simplify]: iters left: 4 (54 enodes) 3.588 * * [simplify]: iters left: 3 (89 enodes) 3.615 * * [simplify]: iters left: 2 (117 enodes) 3.645 * * [simplify]: iters left: 1 (143 enodes) 3.669 * * [simplify]: Extracting #0: cost 1 inf + 0 3.669 * * [simplify]: Extracting #1: cost 20 inf + 0 3.669 * * [simplify]: Extracting #2: cost 32 inf + 84 3.670 * * [simplify]: Extracting #3: cost 9 inf + 1577 3.670 * * [simplify]: Extracting #4: cost 0 inf + 2519 3.671 * [simplify]: Simplified to (fma (- m n) m (* n n)) 3.671 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (/ (* (/ K 2) (+ (pow m 3) (pow n 3))) (fma (- m n) m (* n n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.672 * * * * [progress]: [ 68 / 113 ] simplifiying candidate # 3.672 * [simplify]: Simplifying (- m n) 3.672 * * [simplify]: iters left: 2 (3 enodes) 3.673 * * [simplify]: iters left: 1 (11 enodes) 3.676 * * [simplify]: Extracting #0: cost 1 inf + 0 3.676 * * [simplify]: Extracting #1: cost 5 inf + 0 3.676 * * [simplify]: Extracting #2: cost 3 inf + 43 3.677 * * [simplify]: Extracting #3: cost 0 inf + 168 3.677 * [simplify]: Simplified to (- m n) 3.677 * [simplify]: Simplified (2 1 1 1 2) to (λ (K m n M l) (/ (cos (- (/ (* (/ K 2) (- (* m m) (* n n))) (- m n)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.677 * * * * [progress]: [ 69 / 113 ] simplifiying candidate # 3.677 * [simplify]: Simplifying (* K (+ m n)) 3.677 * * [simplify]: iters left: 4 (5 enodes) 3.680 * * [simplify]: iters left: 3 (23 enodes) 3.687 * * [simplify]: iters left: 2 (35 enodes) 3.691 * * [simplify]: iters left: 1 (37 enodes) 3.695 * * [simplify]: Extracting #0: cost 1 inf + 0 3.695 * * [simplify]: Extracting #1: cost 8 inf + 0 3.695 * * [simplify]: Extracting #2: cost 8 inf + 3 3.695 * * [simplify]: Extracting #3: cost 1 inf + 338 3.695 * * [simplify]: Extracting #4: cost 0 inf + 421 3.695 * [simplify]: Simplified to (* (+ m n) K) 3.695 * [simplify]: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 3.695 * * * * [progress]: [ 70 / 113 ] simplifiying candidate #real (real->posit16 (* (/ K 2) (+ m n)))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 3.695 * * * * [progress]: [ 71 / 113 ] simplifiying candidate # 3.695 * * * * [progress]: [ 72 / 113 ] simplifiying candidate # 3.696 * [simplify]: Simplifying (fma (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n))))))) 3.696 * * [simplify]: iters left: 6 (18 enodes) 3.700 * * [simplify]: iters left: 5 (70 enodes) 3.711 * * [simplify]: iters left: 4 (104 enodes) 3.729 * * [simplify]: iters left: 3 (164 enodes) 3.772 * * [simplify]: iters left: 2 (340 enodes) 3.890 * * [simplify]: Extracting #0: cost 1 inf + 0 3.890 * * [simplify]: Extracting #1: cost 50 inf + 0 3.891 * * [simplify]: Extracting #2: cost 127 inf + 1 3.892 * * [simplify]: Extracting #3: cost 184 inf + 45 3.896 * * [simplify]: Extracting #4: cost 138 inf + 7187 3.906 * * [simplify]: Extracting #5: cost 37 inf + 29043 3.916 * * [simplify]: Extracting #6: cost 6 inf + 42496 3.926 * * [simplify]: Extracting #7: cost 0 inf + 45738 3.940 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 3.940 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) (fma (- (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))))))))) 3.941 * [simplify]: Simplifying (fma (- (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))))) 3.941 * * [simplify]: iters left: 6 (9 enodes) 3.945 * * [simplify]: iters left: 5 (34 enodes) 3.961 * * [simplify]: iters left: 4 (53 enodes) 3.981 * * [simplify]: iters left: 3 (94 enodes) 4.012 * * [simplify]: iters left: 2 (144 enodes) 4.054 * * [simplify]: iters left: 1 (212 enodes) 4.103 * * [simplify]: Extracting #0: cost 1 inf + 0 4.103 * * [simplify]: Extracting #1: cost 0 inf + 1 4.103 * [simplify]: Simplified to 0 4.103 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 0)))) 4.103 * * * * [progress]: [ 73 / 113 ] simplifiying candidate # 4.104 * [simplify]: Simplifying (fma (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n)))))) 4.104 * * [simplify]: iters left: 6 (17 enodes) 4.112 * * [simplify]: iters left: 5 (61 enodes) 4.125 * * [simplify]: iters left: 4 (84 enodes) 4.138 * * [simplify]: iters left: 3 (129 enodes) 4.170 * * [simplify]: iters left: 2 (270 enodes) 4.237 * * [simplify]: Extracting #0: cost 1 inf + 0 4.237 * * [simplify]: Extracting #1: cost 48 inf + 0 4.238 * * [simplify]: Extracting #2: cost 115 inf + 1 4.239 * * [simplify]: Extracting #3: cost 154 inf + 45 4.241 * * [simplify]: Extracting #4: cost 142 inf + 2023 4.250 * * [simplify]: Extracting #5: cost 42 inf + 20612 4.270 * * [simplify]: Extracting #6: cost 4 inf + 30742 4.287 * * [simplify]: Extracting #7: cost 0 inf + 32582 4.304 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 4.304 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) (fma (- (sqrt (fabs (- m n)))) (sqrt (fabs (- m n))) (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n))))))))) 4.305 * [simplify]: Simplifying (fma (- (sqrt (fabs (- m n)))) (sqrt (fabs (- m n))) (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n))))) 4.305 * * [simplify]: iters left: 6 (8 enodes) 4.308 * * [simplify]: iters left: 5 (26 enodes) 4.315 * * [simplify]: iters left: 4 (37 enodes) 4.326 * * [simplify]: iters left: 3 (45 enodes) 4.338 * * [simplify]: iters left: 2 (47 enodes) 4.349 * * [simplify]: Extracting #0: cost 1 inf + 0 4.349 * * [simplify]: Extracting #1: cost 0 inf + 1 4.349 * [simplify]: Simplified to 0 4.349 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 0)))) 4.349 * * * * [progress]: [ 74 / 113 ] simplifiying candidate # 4.349 * [simplify]: Simplifying (fma (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (* (fabs (- m n)) 1))) 4.349 * * [simplify]: iters left: 6 (17 enodes) 4.354 * * [simplify]: iters left: 5 (66 enodes) 4.364 * * [simplify]: iters left: 4 (94 enodes) 4.379 * * [simplify]: iters left: 3 (145 enodes) 4.430 * * [simplify]: iters left: 2 (285 enodes) 4.523 * * [simplify]: Extracting #0: cost 1 inf + 0 4.523 * * [simplify]: Extracting #1: cost 46 inf + 0 4.524 * * [simplify]: Extracting #2: cost 107 inf + 3 4.525 * * [simplify]: Extracting #3: cost 145 inf + 47 4.527 * * [simplify]: Extracting #4: cost 127 inf + 2344 4.537 * * [simplify]: Extracting #5: cost 35 inf + 20246 4.553 * * [simplify]: Extracting #6: cost 1 inf + 29168 4.570 * * [simplify]: Extracting #7: cost 0 inf + 29624 4.586 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 4.586 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) (fma (- (fabs (- m n))) 1 (* (fabs (- m n)) 1)))))) 4.587 * [simplify]: Simplifying (fma (- (fabs (- m n))) 1 (* (fabs (- m n)) 1)) 4.587 * * [simplify]: iters left: 6 (8 enodes) 4.591 * * [simplify]: iters left: 5 (29 enodes) 4.601 * * [simplify]: iters left: 4 (42 enodes) 4.607 * * [simplify]: iters left: 3 (46 enodes) 4.614 * * [simplify]: iters left: 2 (53 enodes) 4.624 * * [simplify]: iters left: 1 (55 enodes) 4.630 * * [simplify]: Extracting #0: cost 1 inf + 0 4.630 * * [simplify]: Extracting #1: cost 0 inf + 1 4.630 * [simplify]: Simplified to 0 4.630 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 0)))) 4.630 * * * * [progress]: [ 75 / 113 ] simplifiying candidate # 4.631 * [simplify]: Simplifying (fma (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n))))))) 4.631 * * [simplify]: iters left: 6 (17 enodes) 4.638 * * [simplify]: iters left: 5 (67 enodes) 4.660 * * [simplify]: iters left: 4 (97 enodes) 4.678 * * [simplify]: iters left: 3 (163 enodes) 4.731 * * [simplify]: iters left: 2 (378 enodes) 4.837 * * [simplify]: Extracting #0: cost 1 inf + 0 4.837 * * [simplify]: Extracting #1: cost 79 inf + 0 4.838 * * [simplify]: Extracting #2: cost 204 inf + 43 4.839 * * [simplify]: Extracting #3: cost 227 inf + 471 4.842 * * [simplify]: Extracting #4: cost 171 inf + 9600 4.855 * * [simplify]: Extracting #5: cost 57 inf + 37935 4.883 * * [simplify]: Extracting #6: cost 11 inf + 59355 4.915 * * [simplify]: Extracting #7: cost 0 inf + 65888 4.930 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 4.930 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) (fma (- (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))))))))) 4.931 * [simplify]: Simplifying (fma (- (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))))) 4.931 * * [simplify]: iters left: 6 (9 enodes) 4.933 * * [simplify]: iters left: 5 (34 enodes) 4.939 * * [simplify]: iters left: 4 (53 enodes) 4.948 * * [simplify]: iters left: 3 (94 enodes) 4.972 * * [simplify]: iters left: 2 (144 enodes) 5.004 * * [simplify]: iters left: 1 (212 enodes) 5.040 * * [simplify]: Extracting #0: cost 1 inf + 0 5.040 * * [simplify]: Extracting #1: cost 0 inf + 1 5.040 * [simplify]: Simplified to 0 5.041 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 0)))) 5.041 * * * * [progress]: [ 76 / 113 ] simplifiying candidate # 5.041 * [simplify]: Simplifying (fma (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n)))))) 5.041 * * [simplify]: iters left: 6 (16 enodes) 5.045 * * [simplify]: iters left: 5 (58 enodes) 5.053 * * [simplify]: iters left: 4 (77 enodes) 5.069 * * [simplify]: iters left: 3 (129 enodes) 5.096 * * [simplify]: iters left: 2 (304 enodes) 5.201 * * [simplify]: Extracting #0: cost 1 inf + 0 5.201 * * [simplify]: Extracting #1: cost 74 inf + 0 5.202 * * [simplify]: Extracting #2: cost 181 inf + 43 5.203 * * [simplify]: Extracting #3: cost 201 inf + 427 5.207 * * [simplify]: Extracting #4: cost 154 inf + 7602 5.226 * * [simplify]: Extracting #5: cost 30 inf + 38086 5.256 * * [simplify]: Extracting #6: cost 0 inf + 47144 5.283 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 5.283 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) (fma (- (sqrt (fabs (- m n)))) (sqrt (fabs (- m n))) (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n))))))))) 5.284 * [simplify]: Simplifying (fma (- (sqrt (fabs (- m n)))) (sqrt (fabs (- m n))) (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n))))) 5.284 * * [simplify]: iters left: 6 (8 enodes) 5.287 * * [simplify]: iters left: 5 (26 enodes) 5.295 * * [simplify]: iters left: 4 (37 enodes) 5.305 * * [simplify]: iters left: 3 (45 enodes) 5.317 * * [simplify]: iters left: 2 (47 enodes) 5.327 * * [simplify]: Extracting #0: cost 1 inf + 0 5.327 * * [simplify]: Extracting #1: cost 0 inf + 1 5.327 * [simplify]: Simplified to 0 5.327 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 0)))) 5.328 * * * * [progress]: [ 77 / 113 ] simplifiying candidate # 5.328 * [simplify]: Simplifying (fma (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (* (fabs (- m n)) 1))) 5.328 * * [simplify]: iters left: 6 (16 enodes) 5.336 * * [simplify]: iters left: 5 (63 enodes) 5.348 * * [simplify]: iters left: 4 (87 enodes) 5.363 * * [simplify]: iters left: 3 (140 enodes) 5.394 * * [simplify]: iters left: 2 (305 enodes) 5.498 * * [simplify]: Extracting #0: cost 1 inf + 0 5.498 * * [simplify]: Extracting #1: cost 63 inf + 0 5.499 * * [simplify]: Extracting #2: cost 155 inf + 4 5.500 * * [simplify]: Extracting #3: cost 172 inf + 671 5.502 * * [simplify]: Extracting #4: cost 123 inf + 8257 5.511 * * [simplify]: Extracting #5: cost 11 inf + 35424 5.526 * * [simplify]: Extracting #6: cost 0 inf + 38801 5.549 * * [simplify]: Extracting #7: cost 0 inf + 38771 5.575 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 5.575 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) (fma (- (fabs (- m n))) 1 (* (fabs (- m n)) 1)))))) 5.576 * [simplify]: Simplifying (fma (- (fabs (- m n))) 1 (* (fabs (- m n)) 1)) 5.576 * * [simplify]: iters left: 6 (8 enodes) 5.580 * * [simplify]: iters left: 5 (29 enodes) 5.590 * * [simplify]: iters left: 4 (42 enodes) 5.602 * * [simplify]: iters left: 3 (46 enodes) 5.615 * * [simplify]: iters left: 2 (53 enodes) 5.629 * * [simplify]: iters left: 1 (55 enodes) 5.639 * * [simplify]: Extracting #0: cost 1 inf + 0 5.639 * * [simplify]: Extracting #1: cost 0 inf + 1 5.639 * [simplify]: Simplified to 0 5.639 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 0)))) 5.639 * * * * [progress]: [ 78 / 113 ] simplifiying candidate # 5.640 * [simplify]: Simplifying (fma 1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (- (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n))))))) 5.640 * * [simplify]: iters left: 6 (17 enodes) 5.648 * * [simplify]: iters left: 5 (69 enodes) 5.664 * * [simplify]: iters left: 4 (108 enodes) 5.688 * * [simplify]: iters left: 3 (192 enodes) 5.777 * * [simplify]: iters left: 2 (485 enodes) 6.092 * * [simplify]: Extracting #0: cost 1 inf + 0 6.092 * * [simplify]: Extracting #1: cost 80 inf + 0 6.093 * * [simplify]: Extracting #2: cost 223 inf + 44 6.095 * * [simplify]: Extracting #3: cost 240 inf + 978 6.098 * * [simplify]: Extracting #4: cost 182 inf + 11319 6.111 * * [simplify]: Extracting #5: cost 68 inf + 38512 6.128 * * [simplify]: Extracting #6: cost 12 inf + 58501 6.162 * * [simplify]: Extracting #7: cost 0 inf + 64954 6.201 * [simplify]: Simplified to (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 6.201 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) (fma (- (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))))))))) 6.202 * [simplify]: Simplifying (fma (- (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))))) 6.202 * * [simplify]: iters left: 6 (9 enodes) 6.206 * * [simplify]: iters left: 5 (34 enodes) 6.215 * * [simplify]: iters left: 4 (53 enodes) 6.225 * * [simplify]: iters left: 3 (94 enodes) 6.243 * * [simplify]: iters left: 2 (144 enodes) 6.279 * * [simplify]: iters left: 1 (212 enodes) 6.346 * * [simplify]: Extracting #0: cost 1 inf + 0 6.346 * * [simplify]: Extracting #1: cost 0 inf + 1 6.346 * [simplify]: Simplified to 0 6.346 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 0)))) 6.346 * * * * [progress]: [ 79 / 113 ] simplifiying candidate # 6.346 * [simplify]: Simplifying (fma 1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (- (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n)))))) 6.346 * * [simplify]: iters left: 6 (16 enodes) 6.350 * * [simplify]: iters left: 5 (60 enodes) 6.359 * * [simplify]: iters left: 4 (88 enodes) 6.375 * * [simplify]: iters left: 3 (158 enodes) 6.425 * * [simplify]: iters left: 2 (413 enodes) 7.160 * * [simplify]: Extracting #0: cost 1 inf + 0 7.160 * * [simplify]: Extracting #1: cost 72 inf + 0 7.162 * * [simplify]: Extracting #2: cost 198 inf + 44 7.165 * * [simplify]: Extracting #3: cost 210 inf + 918 7.171 * * [simplify]: Extracting #4: cost 157 inf + 10177 7.195 * * [simplify]: Extracting #5: cost 35 inf + 38678 7.222 * * [simplify]: Extracting #6: cost 1 inf + 48143 7.239 * * [simplify]: Extracting #7: cost 0 inf + 48563 7.255 * [simplify]: Simplified to (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 7.255 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) (fma (- (sqrt (fabs (- m n)))) (sqrt (fabs (- m n))) (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n))))))))) 7.256 * [simplify]: Simplifying (fma (- (sqrt (fabs (- m n)))) (sqrt (fabs (- m n))) (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n))))) 7.256 * * [simplify]: iters left: 6 (8 enodes) 7.257 * * [simplify]: iters left: 5 (26 enodes) 7.261 * * [simplify]: iters left: 4 (37 enodes) 7.266 * * [simplify]: iters left: 3 (45 enodes) 7.272 * * [simplify]: iters left: 2 (47 enodes) 7.277 * * [simplify]: Extracting #0: cost 1 inf + 0 7.277 * * [simplify]: Extracting #1: cost 0 inf + 1 7.277 * [simplify]: Simplified to 0 7.277 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 0)))) 7.277 * * * * [progress]: [ 80 / 113 ] simplifiying candidate # 7.277 * [simplify]: Simplifying (fma 1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (- (* (fabs (- m n)) 1))) 7.278 * * [simplify]: iters left: 6 (15 enodes) 7.281 * * [simplify]: iters left: 5 (60 enodes) 7.291 * * [simplify]: iters left: 4 (91 enodes) 7.327 * * [simplify]: iters left: 3 (163 enodes) 7.405 * * [simplify]: iters left: 2 (418 enodes) 7.682 * * [simplify]: Extracting #0: cost 1 inf + 0 7.683 * * [simplify]: Extracting #1: cost 58 inf + 0 7.683 * * [simplify]: Extracting #2: cost 165 inf + 45 7.684 * * [simplify]: Extracting #3: cost 188 inf + 714 7.687 * * [simplify]: Extracting #4: cost 137 inf + 8471 7.705 * * [simplify]: Extracting #5: cost 26 inf + 35292 7.719 * * [simplify]: Extracting #6: cost 0 inf + 42914 7.734 * * [simplify]: Extracting #7: cost 0 inf + 42854 7.754 * [simplify]: Simplified to (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 7.754 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) (fma (- (fabs (- m n))) 1 (* (fabs (- m n)) 1)))))) 7.754 * [simplify]: Simplifying (fma (- (fabs (- m n))) 1 (* (fabs (- m n)) 1)) 7.755 * * [simplify]: iters left: 6 (8 enodes) 7.759 * * [simplify]: iters left: 5 (29 enodes) 7.769 * * [simplify]: iters left: 4 (42 enodes) 7.781 * * [simplify]: iters left: 3 (46 enodes) 7.794 * * [simplify]: iters left: 2 (53 enodes) 7.809 * * [simplify]: iters left: 1 (55 enodes) 7.819 * * [simplify]: Extracting #0: cost 1 inf + 0 7.819 * * [simplify]: Extracting #1: cost 0 inf + 1 7.819 * [simplify]: Simplified to 0 7.820 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 0)))) 7.820 * * * * [progress]: [ 81 / 113 ] simplifiying candidate # 7.820 * * * * [progress]: [ 82 / 113 ] simplifiying candidate # 7.820 * * * * [progress]: [ 83 / 113 ] simplifiying candidate # 7.820 * [simplify]: Simplifying (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) 7.820 * * [simplify]: iters left: 6 (11 enodes) 7.823 * * [simplify]: iters left: 5 (38 enodes) 7.828 * * [simplify]: iters left: 4 (50 enodes) 7.837 * * [simplify]: iters left: 3 (90 enodes) 7.854 * * [simplify]: iters left: 2 (226 enodes) 7.931 * * [simplify]: Extracting #0: cost 1 inf + 0 7.931 * * [simplify]: Extracting #1: cost 3 inf + 0 7.931 * * [simplify]: Extracting #2: cost 5 inf + 0 7.931 * * [simplify]: Extracting #3: cost 46 inf + 0 7.932 * * [simplify]: Extracting #4: cost 98 inf + 43 7.933 * * [simplify]: Extracting #5: cost 108 inf + 524 7.934 * * [simplify]: Extracting #6: cost 85 inf + 3456 7.943 * * [simplify]: Extracting #7: cost 17 inf + 16106 7.949 * * [simplify]: Extracting #8: cost 1 inf + 19985 7.955 * * [simplify]: Extracting #9: cost 0 inf + 20195 7.962 * [simplify]: Simplified to (* (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) 7.962 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (fma (* (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (fabs (- m n))))))) 7.962 * * * * [progress]: [ 84 / 113 ] simplifiying candidate # 7.962 * [simplify]: Simplifying (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) 7.962 * * [simplify]: iters left: 6 (10 enodes) 7.965 * * [simplify]: iters left: 5 (35 enodes) 7.970 * * [simplify]: iters left: 4 (47 enodes) 7.983 * * [simplify]: iters left: 3 (87 enodes) 8.005 * * [simplify]: iters left: 2 (221 enodes) 8.067 * * [simplify]: Extracting #0: cost 1 inf + 0 8.067 * * [simplify]: Extracting #1: cost 3 inf + 0 8.067 * * [simplify]: Extracting #2: cost 44 inf + 0 8.067 * * [simplify]: Extracting #3: cost 94 inf + 124 8.068 * * [simplify]: Extracting #4: cost 104 inf + 709 8.071 * * [simplify]: Extracting #5: cost 75 inf + 4510 8.076 * * [simplify]: Extracting #6: cost 13 inf + 16441 8.082 * * [simplify]: Extracting #7: cost 0 inf + 19539 8.090 * * [simplify]: Extracting #8: cost 0 inf + 19509 8.103 * [simplify]: Simplified to (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 8.103 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (fma (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (fabs (- m n))))))) 8.103 * * * * [progress]: [ 85 / 113 ] simplifiying candidate # 8.103 * * * * [progress]: [ 86 / 113 ] simplifiying candidate # 8.104 * [simplify]: Simplifying (/ (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (exp (fabs (- m n)))) 8.104 * * [simplify]: iters left: 6 (14 enodes) 8.111 * * [simplify]: iters left: 5 (51 enodes) 8.126 * * [simplify]: iters left: 4 (75 enodes) 8.151 * * [simplify]: iters left: 3 (151 enodes) 8.191 * * [simplify]: iters left: 2 (423 enodes) 8.397 * * [simplify]: Extracting #0: cost 1 inf + 0 8.398 * * [simplify]: Extracting #1: cost 42 inf + 0 8.398 * * [simplify]: Extracting #2: cost 179 inf + 0 8.400 * * [simplify]: Extracting #3: cost 304 inf + 187 8.403 * * [simplify]: Extracting #4: cost 316 inf + 1157 8.410 * * [simplify]: Extracting #5: cost 228 inf + 19060 8.445 * * [simplify]: Extracting #6: cost 20 inf + 83663 8.476 * * [simplify]: Extracting #7: cost 0 inf + 85020 8.500 * * [simplify]: Extracting #8: cost 0 inf + 84987 8.533 * [simplify]: Simplified to (exp (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n)))) 8.533 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (log (exp (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n)))))))) 8.533 * * * * [progress]: [ 87 / 113 ] simplifiying candidate # 8.533 * * * * [progress]: [ 88 / 113 ] simplifiying candidate # 8.533 * * * * [progress]: [ 89 / 113 ] simplifiying candidate # 8.533 * * * * [progress]: [ 90 / 113 ] simplifiying candidate # 8.534 * * * * [progress]: [ 91 / 113 ] simplifiying candidate # 8.534 * * * * [progress]: [ 92 / 113 ] simplifiying candidate # 8.534 * * * * [progress]: [ 93 / 113 ] simplifiying candidate # 8.534 * * * * [progress]: [ 94 / 113 ] simplifiying candidate # 8.534 * * * * [progress]: [ 95 / 113 ] simplifiying candidate # 8.534 * * * * [progress]: [ 96 / 113 ] simplifiying candidate # 8.534 * * * * [progress]: [ 97 / 113 ] simplifiying candidate # 8.534 * [simplify]: Simplifying (+ (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fabs (- m n)))) 8.534 * * [simplify]: iters left: 6 (14 enodes) 8.537 * * [simplify]: iters left: 5 (50 enodes) 8.544 * * [simplify]: iters left: 4 (65 enodes) 8.556 * * [simplify]: iters left: 3 (105 enodes) 8.595 * * [simplify]: iters left: 2 (239 enodes) 8.698 * * [simplify]: Extracting #0: cost 1 inf + 0 8.698 * * [simplify]: Extracting #1: cost 4 inf + 0 8.698 * * [simplify]: Extracting #2: cost 8 inf + 0 8.698 * * [simplify]: Extracting #3: cost 50 inf + 0 8.699 * * [simplify]: Extracting #4: cost 105 inf + 43 8.700 * * [simplify]: Extracting #5: cost 98 inf + 2461 8.708 * * [simplify]: Extracting #6: cost 25 inf + 15080 8.721 * * [simplify]: Extracting #7: cost 2 inf + 20410 8.734 * * [simplify]: Extracting #8: cost 0 inf + 20874 8.747 * [simplify]: Simplified to (+ (sqrt (fabs (- m n))) (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) 8.748 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (* (+ (sqrt (fabs (- m n))) (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (- (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fabs (- m n)))))))) 8.748 * [simplify]: Simplifying (- (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fabs (- m n)))) 8.748 * * [simplify]: iters left: 6 (14 enodes) 8.755 * * [simplify]: iters left: 5 (51 enodes) 8.773 * * [simplify]: iters left: 4 (69 enodes) 8.794 * * [simplify]: iters left: 3 (109 enodes) 8.833 * * [simplify]: iters left: 2 (244 enodes) 8.907 * * [simplify]: Extracting #0: cost 1 inf + 0 8.907 * * [simplify]: Extracting #1: cost 5 inf + 0 8.907 * * [simplify]: Extracting #2: cost 10 inf + 0 8.908 * * [simplify]: Extracting #3: cost 54 inf + 0 8.908 * * [simplify]: Extracting #4: cost 109 inf + 84 8.910 * * [simplify]: Extracting #5: cost 95 inf + 3975 8.920 * * [simplify]: Extracting #6: cost 10 inf + 19855 8.932 * * [simplify]: Extracting #7: cost 0 inf + 21583 8.946 * [simplify]: Simplified to (- (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (sqrt (fabs (- m n)))) 8.946 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (* (+ (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fabs (- m n)))) (- (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (sqrt (fabs (- m n)))))))) 8.946 * * * * [progress]: [ 98 / 113 ] simplifiying candidate # 8.947 * [simplify]: Simplifying (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 8.947 * * [simplify]: iters left: 6 (12 enodes) 8.953 * * [simplify]: iters left: 5 (45 enodes) 8.966 * * [simplify]: iters left: 4 (67 enodes) 8.989 * * [simplify]: iters left: 3 (127 enodes) 9.021 * * [simplify]: iters left: 2 (318 enodes) 9.164 * * [simplify]: Extracting #0: cost 1 inf + 0 9.164 * * [simplify]: Extracting #1: cost 69 inf + 0 9.166 * * [simplify]: Extracting #2: cost 182 inf + 141 9.168 * * [simplify]: Extracting #3: cost 198 inf + 767 9.174 * * [simplify]: Extracting #4: cost 129 inf + 13836 9.203 * * [simplify]: Extracting #5: cost 12 inf + 44486 9.233 * * [simplify]: Extracting #6: cost 0 inf + 48573 9.262 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 9.262 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (* 1 (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))))))) 9.262 * * * * [progress]: [ 99 / 113 ] simplifiying candidate # 9.263 * [simplify]: Simplifying (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 9.263 * * [simplify]: iters left: 6 (8 enodes) 9.267 * * [simplify]: iters left: 5 (27 enodes) 9.275 * * [simplify]: iters left: 4 (36 enodes) 9.288 * * [simplify]: iters left: 3 (68 enodes) 9.307 * * [simplify]: iters left: 2 (164 enodes) 9.349 * * [simplify]: iters left: 1 (341 enodes) 9.442 * * [simplify]: Extracting #0: cost 1 inf + 0 9.442 * * [simplify]: Extracting #1: cost 33 inf + 0 9.442 * * [simplify]: Extracting #2: cost 92 inf + 1 9.443 * * [simplify]: Extracting #3: cost 112 inf + 1322 9.447 * * [simplify]: Extracting #4: cost 33 inf + 14411 9.456 * * [simplify]: Extracting #5: cost 0 inf + 20865 9.465 * [simplify]: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 9.465 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n))))))) 9.465 * * * * [progress]: [ 100 / 113 ] simplifiying candidate # 9.465 * * * * [progress]: [ 101 / 113 ] simplifiying candidate #real (real->posit16 (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))))> 9.465 * * * * [progress]: [ 102 / 113 ] simplifiying candidate # 9.465 * [simplify]: Simplifying 1 9.465 * * [simplify]: iters left: 0 (1 enodes) 9.466 * * [simplify]: Extracting #0: cost 1 inf + 0 9.466 * * [simplify]: Extracting #1: cost 0 inf + 1 9.466 * [simplify]: Simplified to 1 9.466 * [simplify]: Simplified (2 1) to (λ (K m n M l) (/ 1 (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 9.466 * * * * [progress]: [ 103 / 113 ] simplifiying candidate # 9.467 * [simplify]: Simplifying (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 9.467 * * [simplify]: iters left: 6 (12 enodes) 9.470 * * [simplify]: iters left: 5 (52 enodes) 9.479 * * [simplify]: iters left: 4 (99 enodes) 9.516 * * [simplify]: iters left: 3 (168 enodes) 9.542 * * [simplify]: iters left: 2 (204 enodes) 9.595 * * [simplify]: iters left: 1 (253 enodes) 9.639 * * [simplify]: Extracting #0: cost 1 inf + 0 9.639 * * [simplify]: Extracting #1: cost 3 inf + 0 9.639 * * [simplify]: Extracting #2: cost 28 inf + 0 9.642 * * [simplify]: Extracting #3: cost 52 inf + 5 9.643 * * [simplify]: Extracting #4: cost 27 inf + 2123 9.645 * * [simplify]: Extracting #5: cost 0 inf + 4843 9.647 * * [simplify]: Extracting #6: cost 0 inf + 4828 9.651 * [simplify]: Simplified to (cos (- (* (* 1/2 K) (+ m n)) M)) 9.651 * [simplify]: Simplified (2 1) to (λ (K m n M l) (/ (cos (- (* (* 1/2 K) (+ m n)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 9.651 * * * * [progress]: [ 104 / 113 ] simplifiying candidate # 9.652 * [simplify]: Simplifying (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 9.652 * * [simplify]: iters left: 6 (12 enodes) 9.659 * * [simplify]: iters left: 5 (52 enodes) 9.671 * * [simplify]: iters left: 4 (99 enodes) 9.689 * * [simplify]: iters left: 3 (168 enodes) 9.739 * * [simplify]: iters left: 2 (204 enodes) 9.783 * * [simplify]: iters left: 1 (253 enodes) 9.830 * * [simplify]: Extracting #0: cost 1 inf + 0 9.830 * * [simplify]: Extracting #1: cost 3 inf + 0 9.830 * * [simplify]: Extracting #2: cost 28 inf + 0 9.830 * * [simplify]: Extracting #3: cost 52 inf + 5 9.831 * * [simplify]: Extracting #4: cost 27 inf + 2123 9.833 * * [simplify]: Extracting #5: cost 0 inf + 4843 9.835 * * [simplify]: Extracting #6: cost 0 inf + 4828 9.837 * [simplify]: Simplified to (cos (- (* (* 1/2 K) (+ m n)) M)) 9.837 * [simplify]: Simplified (2 1) to (λ (K m n M l) (/ (cos (- (* (* 1/2 K) (+ m n)) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 9.837 * * * * [progress]: [ 105 / 113 ] simplifiying candidate # 9.837 * [simplify]: Simplifying (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 9.837 * * [simplify]: iters left: 6 (12 enodes) 9.841 * * [simplify]: iters left: 5 (51 enodes) 9.850 * * [simplify]: iters left: 4 (82 enodes) 9.871 * * [simplify]: iters left: 3 (129 enodes) 9.888 * * [simplify]: iters left: 2 (151 enodes) 9.913 * * [simplify]: iters left: 1 (153 enodes) 9.934 * * [simplify]: Extracting #0: cost 1 inf + 0 9.934 * * [simplify]: Extracting #1: cost 18 inf + 0 9.934 * * [simplify]: Extracting #2: cost 24 inf + 47 9.934 * * [simplify]: Extracting #3: cost 11 inf + 729 9.935 * * [simplify]: Extracting #4: cost 2 inf + 1640 9.936 * * [simplify]: Extracting #5: cost 0 inf + 1934 9.937 * [simplify]: Simplified to (fma m (fma 1/4 m (* 1/2 n)) l) 9.937 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- (fma m (fma 1/4 m (* 1/2 n)) l) (fabs (- m n)))))) 9.937 * * * * [progress]: [ 106 / 113 ] simplifiying candidate # 9.937 * [simplify]: Simplifying (- (pow M 2) (+ (* m M) (* M n))) 9.937 * * [simplify]: iters left: 6 (9 enodes) 9.940 * * [simplify]: iters left: 5 (40 enodes) 9.946 * * [simplify]: iters left: 4 (70 enodes) 9.958 * * [simplify]: iters left: 3 (126 enodes) 9.992 * * [simplify]: iters left: 2 (218 enodes) 10.069 * * [simplify]: iters left: 1 (305 enodes) 10.171 * * [simplify]: Extracting #0: cost 1 inf + 0 10.171 * * [simplify]: Extracting #1: cost 29 inf + 0 10.171 * * [simplify]: Extracting #2: cost 55 inf + 127 10.172 * * [simplify]: Extracting #3: cost 16 inf + 3248 10.174 * * [simplify]: Extracting #4: cost 0 inf + 4603 10.176 * [simplify]: Simplified to (* (- (- M n) m) M) 10.176 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- (* (- (- M n) m) M) (fabs (- m n)))))) 10.176 * * * * [progress]: [ 107 / 113 ] simplifiying candidate # 10.177 * [simplify]: Simplifying (- (pow M 2) (+ (* m M) (* M n))) 10.177 * * [simplify]: iters left: 6 (9 enodes) 10.180 * * [simplify]: iters left: 5 (40 enodes) 10.192 * * [simplify]: iters left: 4 (70 enodes) 10.213 * * [simplify]: iters left: 3 (126 enodes) 10.237 * * [simplify]: iters left: 2 (218 enodes) 10.327 * * [simplify]: iters left: 1 (305 enodes) 10.400 * * [simplify]: Extracting #0: cost 1 inf + 0 10.401 * * [simplify]: Extracting #1: cost 29 inf + 0 10.401 * * [simplify]: Extracting #2: cost 55 inf + 127 10.402 * * [simplify]: Extracting #3: cost 16 inf + 3248 10.404 * * [simplify]: Extracting #4: cost 0 inf + 4603 10.406 * [simplify]: Simplified to (* (- (- M n) m) M) 10.406 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- (* (- (- M n) m) M) (fabs (- m n)))))) 10.406 * * * * [progress]: [ 108 / 113 ] simplifiying candidate # 10.406 * [simplify]: Simplifying (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 10.406 * * [simplify]: iters left: 6 (9 enodes) 10.409 * * [simplify]: iters left: 5 (39 enodes) 10.415 * * [simplify]: iters left: 4 (67 enodes) 10.436 * * [simplify]: iters left: 3 (99 enodes) 10.468 * * [simplify]: iters left: 2 (115 enodes) 10.489 * * [simplify]: Extracting #0: cost 1 inf + 0 10.489 * * [simplify]: Extracting #1: cost 16 inf + 0 10.489 * * [simplify]: Extracting #2: cost 20 inf + 88 10.489 * * [simplify]: Extracting #3: cost 4 inf + 1088 10.490 * * [simplify]: Extracting #4: cost 0 inf + 1420 10.491 * [simplify]: Simplified to (* 1/2 (* K (+ m n))) 10.491 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.491 * * * * [progress]: [ 109 / 113 ] simplifiying candidate # 10.491 * [simplify]: Simplifying (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 10.491 * * [simplify]: iters left: 6 (9 enodes) 10.494 * * [simplify]: iters left: 5 (39 enodes) 10.500 * * [simplify]: iters left: 4 (67 enodes) 10.514 * * [simplify]: iters left: 3 (99 enodes) 10.534 * * [simplify]: iters left: 2 (115 enodes) 10.550 * * [simplify]: Extracting #0: cost 1 inf + 0 10.550 * * [simplify]: Extracting #1: cost 16 inf + 0 10.550 * * [simplify]: Extracting #2: cost 20 inf + 88 10.551 * * [simplify]: Extracting #3: cost 4 inf + 1088 10.551 * * [simplify]: Extracting #4: cost 0 inf + 1420 10.552 * [simplify]: Simplified to (* 1/2 (* K (+ m n))) 10.553 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.553 * * * * [progress]: [ 110 / 113 ] simplifiying candidate # 10.553 * [simplify]: Simplifying (+ (* 1/2 (* m K)) (* 1/2 (* K n))) 10.553 * * [simplify]: iters left: 6 (9 enodes) 10.558 * * [simplify]: iters left: 5 (39 enodes) 10.570 * * [simplify]: iters left: 4 (67 enodes) 10.581 * * [simplify]: iters left: 3 (99 enodes) 10.595 * * [simplify]: iters left: 2 (115 enodes) 10.623 * * [simplify]: Extracting #0: cost 1 inf + 0 10.623 * * [simplify]: Extracting #1: cost 16 inf + 0 10.623 * * [simplify]: Extracting #2: cost 20 inf + 88 10.624 * * [simplify]: Extracting #3: cost 4 inf + 1088 10.625 * * [simplify]: Extracting #4: cost 0 inf + 1420 10.626 * [simplify]: Simplified to (* 1/2 (* K (+ m n))) 10.626 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (cos (- (* 1/2 (* K (+ m n))) M)) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 10.626 * * * * [progress]: [ 111 / 113 ] simplifiying candidate # 10.627 * [simplify]: Simplifying (- (+ l (* 1/4 (pow m 2))) (fabs (- m n))) 10.627 * * [simplify]: iters left: 6 (11 enodes) 10.631 * * [simplify]: iters left: 5 (46 enodes) 10.640 * * [simplify]: iters left: 4 (73 enodes) 10.651 * * [simplify]: iters left: 3 (100 enodes) 10.671 * * [simplify]: iters left: 2 (109 enodes) 10.683 * * [simplify]: iters left: 1 (120 enodes) 10.700 * * [simplify]: Extracting #0: cost 1 inf + 0 10.700 * * [simplify]: Extracting #1: cost 18 inf + 0 10.700 * * [simplify]: Extracting #2: cost 26 inf + 168 10.700 * * [simplify]: Extracting #3: cost 20 inf + 856 10.701 * * [simplify]: Extracting #4: cost 15 inf + 1105 10.702 * * [simplify]: Extracting #5: cost 1 inf + 3214 10.704 * * [simplify]: Extracting #6: cost 0 inf + 3417 10.706 * [simplify]: Simplified to (- (fma 1/4 (* m m) l) (fabs (- m n))) 10.706 * [simplify]: Simplified (2 2 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (- (fma 1/4 (* m m) l) (fabs (- m n)))))) 10.706 * * * * [progress]: [ 112 / 113 ] simplifiying candidate # 10.706 * [simplify]: Simplifying (- (pow M 2) (+ (* m M) (* M n))) 10.706 * * [simplify]: iters left: 6 (9 enodes) 10.711 * * [simplify]: iters left: 5 (40 enodes) 10.720 * * [simplify]: iters left: 4 (70 enodes) 10.733 * * [simplify]: iters left: 3 (126 enodes) 10.769 * * [simplify]: iters left: 2 (218 enodes) 10.837 * * [simplify]: iters left: 1 (305 enodes) 10.927 * * [simplify]: Extracting #0: cost 1 inf + 0 10.927 * * [simplify]: Extracting #1: cost 29 inf + 0 10.928 * * [simplify]: Extracting #2: cost 55 inf + 127 10.930 * * [simplify]: Extracting #3: cost 16 inf + 3248 10.934 * * [simplify]: Extracting #4: cost 0 inf + 4603 10.937 * [simplify]: Simplified to (* (- (- M n) m) M) 10.937 * [simplify]: Simplified (2 2 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (* (- (- M n) m) M)))) 10.938 * * * * [progress]: [ 113 / 113 ] simplifiying candidate # 10.938 * [simplify]: Simplifying (- (pow M 2) (+ (* m M) (* M n))) 10.938 * * [simplify]: iters left: 6 (9 enodes) 10.943 * * [simplify]: iters left: 5 (40 enodes) 10.956 * * [simplify]: iters left: 4 (70 enodes) 10.970 * * [simplify]: iters left: 3 (126 enodes) 10.999 * * [simplify]: iters left: 2 (218 enodes) 11.059 * * [simplify]: iters left: 1 (305 enodes) 11.141 * * [simplify]: Extracting #0: cost 1 inf + 0 11.142 * * [simplify]: Extracting #1: cost 29 inf + 0 11.142 * * [simplify]: Extracting #2: cost 55 inf + 127 11.146 * * [simplify]: Extracting #3: cost 16 inf + 3248 11.150 * * [simplify]: Extracting #4: cost 0 inf + 4603 11.154 * [simplify]: Simplified to (* (- (- M n) m) M) 11.154 * [simplify]: Simplified (2 2 1) to (λ (K m n M l) (/ (cos (- (* (/ K 2) (+ m n)) M)) (exp (* (- (- M n) m) M)))) 11.154 * * * [progress]: adding candidates to table 13.027 * * [progress]: iteration 2 / 4 13.027 * * * [progress]: picking best candidate 13.091 * * * * [pick]: Picked # 13.091 * * * [progress]: localizing error 13.134 * * * [progress]: generating rewritten candidates 13.134 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1) 13.134 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 13.146 * * * [progress]: generating series expansions 13.146 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1) 13.146 * [backup-simplify]: Simplify (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) into (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) 13.146 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in (m n M l) around 0 13.146 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in l 13.146 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.146 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in l 13.146 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 13.146 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 13.146 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 13.146 * [taylor]: Taking taylor expansion of 1/2 in l 13.146 * [backup-simplify]: Simplify 1/2 into 1/2 13.146 * [taylor]: Taking taylor expansion of m in l 13.146 * [backup-simplify]: Simplify m into m 13.146 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 13.147 * [taylor]: Taking taylor expansion of 1/2 in l 13.147 * [backup-simplify]: Simplify 1/2 into 1/2 13.147 * [taylor]: Taking taylor expansion of n in l 13.147 * [backup-simplify]: Simplify n into n 13.147 * [taylor]: Taking taylor expansion of M in l 13.147 * [backup-simplify]: Simplify M into M 13.147 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 13.147 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 13.147 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 13.147 * [taylor]: Taking taylor expansion of 1/2 in l 13.147 * [backup-simplify]: Simplify 1/2 into 1/2 13.147 * [taylor]: Taking taylor expansion of m in l 13.147 * [backup-simplify]: Simplify m into m 13.147 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 13.147 * [taylor]: Taking taylor expansion of 1/2 in l 13.147 * [backup-simplify]: Simplify 1/2 into 1/2 13.147 * [taylor]: Taking taylor expansion of n in l 13.147 * [backup-simplify]: Simplify n into n 13.147 * [taylor]: Taking taylor expansion of M in l 13.147 * [backup-simplify]: Simplify M into M 13.147 * [taylor]: Taking taylor expansion of l in l 13.147 * [backup-simplify]: Simplify 0 into 0 13.147 * [backup-simplify]: Simplify 1 into 1 13.147 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in M 13.147 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.147 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in M 13.147 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 13.147 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 13.147 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 13.147 * [taylor]: Taking taylor expansion of 1/2 in M 13.147 * [backup-simplify]: Simplify 1/2 into 1/2 13.147 * [taylor]: Taking taylor expansion of m in M 13.147 * [backup-simplify]: Simplify m into m 13.147 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 13.147 * [taylor]: Taking taylor expansion of 1/2 in M 13.147 * [backup-simplify]: Simplify 1/2 into 1/2 13.147 * [taylor]: Taking taylor expansion of n in M 13.148 * [backup-simplify]: Simplify n into n 13.148 * [taylor]: Taking taylor expansion of M in M 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [backup-simplify]: Simplify 1 into 1 13.148 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 13.148 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 13.148 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 13.148 * [taylor]: Taking taylor expansion of 1/2 in M 13.148 * [backup-simplify]: Simplify 1/2 into 1/2 13.148 * [taylor]: Taking taylor expansion of m in M 13.148 * [backup-simplify]: Simplify m into m 13.148 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 13.148 * [taylor]: Taking taylor expansion of 1/2 in M 13.148 * [backup-simplify]: Simplify 1/2 into 1/2 13.148 * [taylor]: Taking taylor expansion of n in M 13.148 * [backup-simplify]: Simplify n into n 13.148 * [taylor]: Taking taylor expansion of M in M 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [backup-simplify]: Simplify 1 into 1 13.148 * [taylor]: Taking taylor expansion of l in M 13.148 * [backup-simplify]: Simplify l into l 13.148 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in n 13.148 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.148 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in n 13.148 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 13.148 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 13.148 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 13.148 * [taylor]: Taking taylor expansion of 1/2 in n 13.148 * [backup-simplify]: Simplify 1/2 into 1/2 13.148 * [taylor]: Taking taylor expansion of m in n 13.148 * [backup-simplify]: Simplify m into m 13.148 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.148 * [taylor]: Taking taylor expansion of 1/2 in n 13.148 * [backup-simplify]: Simplify 1/2 into 1/2 13.148 * [taylor]: Taking taylor expansion of n in n 13.148 * [backup-simplify]: Simplify 0 into 0 13.148 * [backup-simplify]: Simplify 1 into 1 13.148 * [taylor]: Taking taylor expansion of M in n 13.148 * [backup-simplify]: Simplify M into M 13.148 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 13.149 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 13.149 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 13.149 * [taylor]: Taking taylor expansion of 1/2 in n 13.149 * [backup-simplify]: Simplify 1/2 into 1/2 13.149 * [taylor]: Taking taylor expansion of m in n 13.149 * [backup-simplify]: Simplify m into m 13.149 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.149 * [taylor]: Taking taylor expansion of 1/2 in n 13.149 * [backup-simplify]: Simplify 1/2 into 1/2 13.149 * [taylor]: Taking taylor expansion of n in n 13.149 * [backup-simplify]: Simplify 0 into 0 13.149 * [backup-simplify]: Simplify 1 into 1 13.149 * [taylor]: Taking taylor expansion of M in n 13.149 * [backup-simplify]: Simplify M into M 13.149 * [taylor]: Taking taylor expansion of l in n 13.149 * [backup-simplify]: Simplify l into l 13.149 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 13.149 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.149 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 13.149 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.149 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.149 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.149 * [taylor]: Taking taylor expansion of 1/2 in m 13.149 * [backup-simplify]: Simplify 1/2 into 1/2 13.149 * [taylor]: Taking taylor expansion of m in m 13.149 * [backup-simplify]: Simplify 0 into 0 13.149 * [backup-simplify]: Simplify 1 into 1 13.149 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.149 * [taylor]: Taking taylor expansion of 1/2 in m 13.149 * [backup-simplify]: Simplify 1/2 into 1/2 13.149 * [taylor]: Taking taylor expansion of n in m 13.149 * [backup-simplify]: Simplify n into n 13.149 * [taylor]: Taking taylor expansion of M in m 13.149 * [backup-simplify]: Simplify M into M 13.149 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.149 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.149 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.149 * [taylor]: Taking taylor expansion of 1/2 in m 13.149 * [backup-simplify]: Simplify 1/2 into 1/2 13.149 * [taylor]: Taking taylor expansion of m in m 13.150 * [backup-simplify]: Simplify 0 into 0 13.150 * [backup-simplify]: Simplify 1 into 1 13.150 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.150 * [taylor]: Taking taylor expansion of 1/2 in m 13.150 * [backup-simplify]: Simplify 1/2 into 1/2 13.150 * [taylor]: Taking taylor expansion of n in m 13.150 * [backup-simplify]: Simplify n into n 13.150 * [taylor]: Taking taylor expansion of M in m 13.150 * [backup-simplify]: Simplify M into M 13.150 * [taylor]: Taking taylor expansion of l in m 13.150 * [backup-simplify]: Simplify l into l 13.150 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 13.150 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.150 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 13.150 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.150 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.150 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.150 * [taylor]: Taking taylor expansion of 1/2 in m 13.150 * [backup-simplify]: Simplify 1/2 into 1/2 13.150 * [taylor]: Taking taylor expansion of m in m 13.150 * [backup-simplify]: Simplify 0 into 0 13.150 * [backup-simplify]: Simplify 1 into 1 13.150 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.150 * [taylor]: Taking taylor expansion of 1/2 in m 13.150 * [backup-simplify]: Simplify 1/2 into 1/2 13.150 * [taylor]: Taking taylor expansion of n in m 13.150 * [backup-simplify]: Simplify n into n 13.150 * [taylor]: Taking taylor expansion of M in m 13.150 * [backup-simplify]: Simplify M into M 13.150 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.150 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.150 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.150 * [taylor]: Taking taylor expansion of 1/2 in m 13.150 * [backup-simplify]: Simplify 1/2 into 1/2 13.150 * [taylor]: Taking taylor expansion of m in m 13.150 * [backup-simplify]: Simplify 0 into 0 13.150 * [backup-simplify]: Simplify 1 into 1 13.150 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.150 * [taylor]: Taking taylor expansion of 1/2 in m 13.150 * [backup-simplify]: Simplify 1/2 into 1/2 13.151 * [taylor]: Taking taylor expansion of n in m 13.151 * [backup-simplify]: Simplify n into n 13.151 * [taylor]: Taking taylor expansion of M in m 13.151 * [backup-simplify]: Simplify M into M 13.151 * [taylor]: Taking taylor expansion of l in m 13.151 * [backup-simplify]: Simplify l into l 13.152 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.152 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 13.152 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 13.152 * [backup-simplify]: Simplify (- M) into (- M) 13.152 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 13.153 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.153 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 13.153 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 13.153 * [backup-simplify]: Simplify (- M) into (- M) 13.153 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 13.153 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 13.153 * [backup-simplify]: Simplify (+ (pow (- (* 1/2 n) M) 2) l) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) 13.153 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) in n 13.153 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) in n 13.153 * [taylor]: Taking taylor expansion of (pow M 2) in n 13.154 * [taylor]: Taking taylor expansion of M in n 13.154 * [backup-simplify]: Simplify M into M 13.154 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 13.154 * [taylor]: Taking taylor expansion of l in n 13.154 * [backup-simplify]: Simplify l into l 13.154 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 13.154 * [taylor]: Taking taylor expansion of 1/4 in n 13.154 * [backup-simplify]: Simplify 1/4 into 1/4 13.154 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.154 * [taylor]: Taking taylor expansion of n in n 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 1 into 1 13.154 * [taylor]: Taking taylor expansion of (* M n) in n 13.154 * [taylor]: Taking taylor expansion of M in n 13.154 * [backup-simplify]: Simplify M into M 13.154 * [taylor]: Taking taylor expansion of n in n 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 1 into 1 13.154 * [backup-simplify]: Simplify (* M M) into (pow M 2) 13.154 * [backup-simplify]: Simplify (+ l 0) into l 13.154 * [backup-simplify]: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) 13.154 * [backup-simplify]: Simplify (* M 0) into 0 13.155 * [backup-simplify]: Simplify (- 0) into 0 13.155 * [backup-simplify]: Simplify (+ (+ (pow M 2) l) 0) into (+ (pow M 2) l) 13.155 * [taylor]: Taking taylor expansion of (+ (pow M 2) l) in M 13.155 * [taylor]: Taking taylor expansion of (pow M 2) in M 13.155 * [taylor]: Taking taylor expansion of M in M 13.155 * [backup-simplify]: Simplify 0 into 0 13.155 * [backup-simplify]: Simplify 1 into 1 13.155 * [taylor]: Taking taylor expansion of l in M 13.155 * [backup-simplify]: Simplify l into l 13.155 * [backup-simplify]: Simplify (+ 0 l) into l 13.155 * [taylor]: Taking taylor expansion of l in l 13.155 * [backup-simplify]: Simplify 0 into 0 13.155 * [backup-simplify]: Simplify 1 into 1 13.155 * [backup-simplify]: Simplify 0 into 0 13.156 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 13.157 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.158 * [backup-simplify]: Simplify (- 0) into 0 13.158 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.159 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 13.160 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.160 * [backup-simplify]: Simplify (- 0) into 0 13.161 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.161 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 13.161 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 13.161 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 13.161 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.161 * [taylor]: Taking taylor expansion of 1/2 in n 13.161 * [backup-simplify]: Simplify 1/2 into 1/2 13.161 * [taylor]: Taking taylor expansion of n in n 13.161 * [backup-simplify]: Simplify 0 into 0 13.161 * [backup-simplify]: Simplify 1 into 1 13.161 * [taylor]: Taking taylor expansion of M in n 13.161 * [backup-simplify]: Simplify M into M 13.162 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.162 * [backup-simplify]: Simplify (- M) into (- M) 13.162 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.162 * [taylor]: Taking taylor expansion of (- M) in M 13.162 * [taylor]: Taking taylor expansion of M in M 13.162 * [backup-simplify]: Simplify 0 into 0 13.162 * [backup-simplify]: Simplify 1 into 1 13.163 * [backup-simplify]: Simplify (- 0) into 0 13.163 * [taylor]: Taking taylor expansion of 0 in l 13.163 * [backup-simplify]: Simplify 0 into 0 13.163 * [backup-simplify]: Simplify 0 into 0 13.163 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 13.163 * [backup-simplify]: Simplify (+ 0 0) into 0 13.164 * [backup-simplify]: Simplify (+ 0 0) into 0 13.164 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 13.164 * [backup-simplify]: Simplify (- M) into (- M) 13.164 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.164 * [taylor]: Taking taylor expansion of (- M) in M 13.164 * [taylor]: Taking taylor expansion of M in M 13.164 * [backup-simplify]: Simplify 0 into 0 13.164 * [backup-simplify]: Simplify 1 into 1 13.165 * [backup-simplify]: Simplify (- 0) into 0 13.165 * [taylor]: Taking taylor expansion of 0 in l 13.165 * [backup-simplify]: Simplify 0 into 0 13.165 * [backup-simplify]: Simplify 0 into 0 13.165 * [backup-simplify]: Simplify (+ 0 0) into 0 13.165 * [taylor]: Taking taylor expansion of 0 in l 13.165 * [backup-simplify]: Simplify 0 into 0 13.165 * [backup-simplify]: Simplify 0 into 0 13.165 * [backup-simplify]: Simplify 1 into 1 13.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 13.167 * [backup-simplify]: Simplify (+ 0 0) into 0 13.168 * [backup-simplify]: Simplify (- 0) into 0 13.168 * [backup-simplify]: Simplify (+ 0 0) into 0 13.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 13.170 * [backup-simplify]: Simplify (+ 0 0) into 0 13.171 * [backup-simplify]: Simplify (- 0) into 0 13.171 * [backup-simplify]: Simplify (+ 0 0) into 0 13.172 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 13.172 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.172 * [taylor]: Taking taylor expansion of 1/4 in n 13.172 * [backup-simplify]: Simplify 1/4 into 1/4 13.172 * [taylor]: Taking taylor expansion of 1/4 in M 13.172 * [backup-simplify]: Simplify 1/4 into 1/4 13.172 * [taylor]: Taking taylor expansion of 1/4 in l 13.172 * [backup-simplify]: Simplify 1/4 into 1/4 13.172 * [backup-simplify]: Simplify 1/4 into 1/4 13.173 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.174 * [backup-simplify]: Simplify (- 0) into 0 13.174 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.174 * [taylor]: Taking taylor expansion of 1/2 in M 13.174 * [backup-simplify]: Simplify 1/2 into 1/2 13.174 * [taylor]: Taking taylor expansion of 1/2 in l 13.174 * [backup-simplify]: Simplify 1/2 into 1/2 13.174 * [backup-simplify]: Simplify 1/2 into 1/2 13.175 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* 1 (* n m)))) (+ (* 1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (* 1 (* l (* 1 (* 1 1)))))) into (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 13.176 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (/ 1 l)) into (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) 13.176 * [approximate]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in (m n M l) around 0 13.176 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in l 13.176 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.176 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in l 13.176 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 13.176 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 13.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 13.176 * [taylor]: Taking taylor expansion of 1/2 in l 13.176 * [backup-simplify]: Simplify 1/2 into 1/2 13.176 * [taylor]: Taking taylor expansion of (/ 1 m) in l 13.176 * [taylor]: Taking taylor expansion of m in l 13.176 * [backup-simplify]: Simplify m into m 13.176 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 13.176 * [taylor]: Taking taylor expansion of 1/2 in l 13.176 * [backup-simplify]: Simplify 1/2 into 1/2 13.176 * [taylor]: Taking taylor expansion of (/ 1 n) in l 13.176 * [taylor]: Taking taylor expansion of n in l 13.176 * [backup-simplify]: Simplify n into n 13.176 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.176 * [taylor]: Taking taylor expansion of (/ 1 M) in l 13.176 * [taylor]: Taking taylor expansion of M in l 13.176 * [backup-simplify]: Simplify M into M 13.176 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.176 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 13.177 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 13.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 13.177 * [taylor]: Taking taylor expansion of 1/2 in l 13.177 * [backup-simplify]: Simplify 1/2 into 1/2 13.177 * [taylor]: Taking taylor expansion of (/ 1 m) in l 13.177 * [taylor]: Taking taylor expansion of m in l 13.177 * [backup-simplify]: Simplify m into m 13.177 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 13.177 * [taylor]: Taking taylor expansion of 1/2 in l 13.177 * [backup-simplify]: Simplify 1/2 into 1/2 13.177 * [taylor]: Taking taylor expansion of (/ 1 n) in l 13.177 * [taylor]: Taking taylor expansion of n in l 13.177 * [backup-simplify]: Simplify n into n 13.177 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.177 * [taylor]: Taking taylor expansion of (/ 1 M) in l 13.177 * [taylor]: Taking taylor expansion of M in l 13.177 * [backup-simplify]: Simplify M into M 13.177 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.177 * [taylor]: Taking taylor expansion of (/ 1 l) in l 13.177 * [taylor]: Taking taylor expansion of l in l 13.177 * [backup-simplify]: Simplify 0 into 0 13.177 * [backup-simplify]: Simplify 1 into 1 13.178 * [backup-simplify]: Simplify (/ 1 1) into 1 13.178 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in M 13.178 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.178 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in M 13.178 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 13.178 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.178 * [taylor]: Taking taylor expansion of 1/2 in M 13.178 * [backup-simplify]: Simplify 1/2 into 1/2 13.178 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.178 * [taylor]: Taking taylor expansion of m in M 13.178 * [backup-simplify]: Simplify m into m 13.178 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.178 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.178 * [taylor]: Taking taylor expansion of 1/2 in M 13.178 * [backup-simplify]: Simplify 1/2 into 1/2 13.178 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.178 * [taylor]: Taking taylor expansion of n in M 13.178 * [backup-simplify]: Simplify n into n 13.178 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.178 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.178 * [taylor]: Taking taylor expansion of M in M 13.178 * [backup-simplify]: Simplify 0 into 0 13.178 * [backup-simplify]: Simplify 1 into 1 13.179 * [backup-simplify]: Simplify (/ 1 1) into 1 13.179 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 13.179 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.179 * [taylor]: Taking taylor expansion of 1/2 in M 13.179 * [backup-simplify]: Simplify 1/2 into 1/2 13.179 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.179 * [taylor]: Taking taylor expansion of m in M 13.179 * [backup-simplify]: Simplify m into m 13.179 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.179 * [taylor]: Taking taylor expansion of 1/2 in M 13.179 * [backup-simplify]: Simplify 1/2 into 1/2 13.179 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.179 * [taylor]: Taking taylor expansion of n in M 13.179 * [backup-simplify]: Simplify n into n 13.179 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.179 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.179 * [taylor]: Taking taylor expansion of M in M 13.179 * [backup-simplify]: Simplify 0 into 0 13.179 * [backup-simplify]: Simplify 1 into 1 13.180 * [backup-simplify]: Simplify (/ 1 1) into 1 13.180 * [taylor]: Taking taylor expansion of (/ 1 l) in M 13.180 * [taylor]: Taking taylor expansion of l in M 13.180 * [backup-simplify]: Simplify l into l 13.180 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.180 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in n 13.180 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.180 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in n 13.180 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 13.180 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.180 * [taylor]: Taking taylor expansion of 1/2 in n 13.180 * [backup-simplify]: Simplify 1/2 into 1/2 13.180 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.180 * [taylor]: Taking taylor expansion of m in n 13.180 * [backup-simplify]: Simplify m into m 13.180 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.180 * [taylor]: Taking taylor expansion of 1/2 in n 13.180 * [backup-simplify]: Simplify 1/2 into 1/2 13.180 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.180 * [taylor]: Taking taylor expansion of n in n 13.180 * [backup-simplify]: Simplify 0 into 0 13.181 * [backup-simplify]: Simplify 1 into 1 13.181 * [backup-simplify]: Simplify (/ 1 1) into 1 13.181 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.181 * [taylor]: Taking taylor expansion of M in n 13.181 * [backup-simplify]: Simplify M into M 13.181 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.181 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 13.181 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.181 * [taylor]: Taking taylor expansion of 1/2 in n 13.181 * [backup-simplify]: Simplify 1/2 into 1/2 13.181 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.181 * [taylor]: Taking taylor expansion of m in n 13.181 * [backup-simplify]: Simplify m into m 13.181 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.181 * [taylor]: Taking taylor expansion of 1/2 in n 13.181 * [backup-simplify]: Simplify 1/2 into 1/2 13.181 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.181 * [taylor]: Taking taylor expansion of n in n 13.182 * [backup-simplify]: Simplify 0 into 0 13.182 * [backup-simplify]: Simplify 1 into 1 13.182 * [backup-simplify]: Simplify (/ 1 1) into 1 13.182 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.182 * [taylor]: Taking taylor expansion of M in n 13.182 * [backup-simplify]: Simplify M into M 13.182 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.182 * [taylor]: Taking taylor expansion of (/ 1 l) in n 13.182 * [taylor]: Taking taylor expansion of l in n 13.182 * [backup-simplify]: Simplify l into l 13.182 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.182 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 13.182 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.182 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 13.182 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.182 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.182 * [taylor]: Taking taylor expansion of 1/2 in m 13.182 * [backup-simplify]: Simplify 1/2 into 1/2 13.183 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.183 * [taylor]: Taking taylor expansion of m in m 13.183 * [backup-simplify]: Simplify 0 into 0 13.183 * [backup-simplify]: Simplify 1 into 1 13.183 * [backup-simplify]: Simplify (/ 1 1) into 1 13.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.183 * [taylor]: Taking taylor expansion of 1/2 in m 13.183 * [backup-simplify]: Simplify 1/2 into 1/2 13.183 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.183 * [taylor]: Taking taylor expansion of n in m 13.183 * [backup-simplify]: Simplify n into n 13.183 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.183 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.183 * [taylor]: Taking taylor expansion of M in m 13.183 * [backup-simplify]: Simplify M into M 13.183 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.183 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.183 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.184 * [taylor]: Taking taylor expansion of 1/2 in m 13.184 * [backup-simplify]: Simplify 1/2 into 1/2 13.184 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.184 * [taylor]: Taking taylor expansion of m in m 13.184 * [backup-simplify]: Simplify 0 into 0 13.184 * [backup-simplify]: Simplify 1 into 1 13.184 * [backup-simplify]: Simplify (/ 1 1) into 1 13.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.184 * [taylor]: Taking taylor expansion of 1/2 in m 13.184 * [backup-simplify]: Simplify 1/2 into 1/2 13.184 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.184 * [taylor]: Taking taylor expansion of n in m 13.184 * [backup-simplify]: Simplify n into n 13.184 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.184 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.184 * [taylor]: Taking taylor expansion of M in m 13.184 * [backup-simplify]: Simplify M into M 13.185 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.185 * [taylor]: Taking taylor expansion of (/ 1 l) in m 13.185 * [taylor]: Taking taylor expansion of l in m 13.185 * [backup-simplify]: Simplify l into l 13.185 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.185 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 13.185 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.185 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 13.185 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.185 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.185 * [taylor]: Taking taylor expansion of 1/2 in m 13.185 * [backup-simplify]: Simplify 1/2 into 1/2 13.185 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.185 * [taylor]: Taking taylor expansion of m in m 13.185 * [backup-simplify]: Simplify 0 into 0 13.185 * [backup-simplify]: Simplify 1 into 1 13.186 * [backup-simplify]: Simplify (/ 1 1) into 1 13.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.186 * [taylor]: Taking taylor expansion of 1/2 in m 13.186 * [backup-simplify]: Simplify 1/2 into 1/2 13.186 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.186 * [taylor]: Taking taylor expansion of n in m 13.186 * [backup-simplify]: Simplify n into n 13.186 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.186 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.186 * [taylor]: Taking taylor expansion of M in m 13.186 * [backup-simplify]: Simplify M into M 13.186 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.186 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.186 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.186 * [taylor]: Taking taylor expansion of 1/2 in m 13.186 * [backup-simplify]: Simplify 1/2 into 1/2 13.186 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.186 * [taylor]: Taking taylor expansion of m in m 13.186 * [backup-simplify]: Simplify 0 into 0 13.186 * [backup-simplify]: Simplify 1 into 1 13.187 * [backup-simplify]: Simplify (/ 1 1) into 1 13.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.187 * [taylor]: Taking taylor expansion of 1/2 in m 13.187 * [backup-simplify]: Simplify 1/2 into 1/2 13.187 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.187 * [taylor]: Taking taylor expansion of n in m 13.187 * [backup-simplify]: Simplify n into n 13.187 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.187 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.187 * [taylor]: Taking taylor expansion of M in m 13.187 * [backup-simplify]: Simplify M into M 13.187 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.187 * [taylor]: Taking taylor expansion of (/ 1 l) in m 13.187 * [taylor]: Taking taylor expansion of l in m 13.187 * [backup-simplify]: Simplify l into l 13.187 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.188 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.188 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.189 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.189 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.189 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.190 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.190 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.191 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.191 * [taylor]: Taking taylor expansion of 1/4 in n 13.191 * [backup-simplify]: Simplify 1/4 into 1/4 13.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.192 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.192 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.192 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.193 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.194 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.194 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.194 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.194 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.195 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.195 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.195 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 13.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.195 * [taylor]: Taking taylor expansion of 1/2 in n 13.195 * [backup-simplify]: Simplify 1/2 into 1/2 13.195 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.195 * [taylor]: Taking taylor expansion of n in n 13.195 * [backup-simplify]: Simplify 0 into 0 13.195 * [backup-simplify]: Simplify 1 into 1 13.196 * [backup-simplify]: Simplify (/ 1 1) into 1 13.196 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.196 * [taylor]: Taking taylor expansion of M in n 13.196 * [backup-simplify]: Simplify M into M 13.196 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.199 * [backup-simplify]: Simplify (+ 0 0) into 0 13.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.199 * [backup-simplify]: Simplify (- 0) into 0 13.199 * [backup-simplify]: Simplify (+ 0 0) into 0 13.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.202 * [backup-simplify]: Simplify (+ 0 0) into 0 13.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.203 * [backup-simplify]: Simplify (- 0) into 0 13.203 * [backup-simplify]: Simplify (+ 0 0) into 0 13.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 13.205 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ 1 l)) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) 13.205 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) in n 13.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) in n 13.205 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 13.205 * [taylor]: Taking taylor expansion of (pow M 2) in n 13.205 * [taylor]: Taking taylor expansion of M in n 13.205 * [backup-simplify]: Simplify M into M 13.206 * [backup-simplify]: Simplify (* M M) into (pow M 2) 13.206 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 13.206 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l)) in n 13.206 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 13.206 * [taylor]: Taking taylor expansion of 1/4 in n 13.206 * [backup-simplify]: Simplify 1/4 into 1/4 13.206 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.206 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.206 * [taylor]: Taking taylor expansion of n in n 13.206 * [backup-simplify]: Simplify 0 into 0 13.206 * [backup-simplify]: Simplify 1 into 1 13.206 * [backup-simplify]: Simplify (* 1 1) into 1 13.207 * [backup-simplify]: Simplify (/ 1 1) into 1 13.207 * [taylor]: Taking taylor expansion of (/ 1 l) in n 13.207 * [taylor]: Taking taylor expansion of l in n 13.207 * [backup-simplify]: Simplify l into l 13.207 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.207 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 13.207 * [taylor]: Taking taylor expansion of (* M n) in n 13.207 * [taylor]: Taking taylor expansion of M in n 13.207 * [backup-simplify]: Simplify M into M 13.207 * [taylor]: Taking taylor expansion of n in n 13.207 * [backup-simplify]: Simplify 0 into 0 13.207 * [backup-simplify]: Simplify 1 into 1 13.207 * [backup-simplify]: Simplify (* M 0) into 0 13.208 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 13.208 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.208 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 13.209 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.209 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.209 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.210 * [taylor]: Taking taylor expansion of 1/4 in M 13.210 * [backup-simplify]: Simplify 1/4 into 1/4 13.210 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.210 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.210 * [taylor]: Taking taylor expansion of 1/2 in M 13.211 * [backup-simplify]: Simplify 1/2 into 1/2 13.211 * [taylor]: Taking taylor expansion of 1/4 in M 13.211 * [backup-simplify]: Simplify 1/4 into 1/4 13.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.214 * [backup-simplify]: Simplify (+ 0 0) into 0 13.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.215 * [backup-simplify]: Simplify (- 0) into 0 13.215 * [backup-simplify]: Simplify (+ 0 0) into 0 13.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.219 * [backup-simplify]: Simplify (+ 0 0) into 0 13.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.219 * [backup-simplify]: Simplify (- 0) into 0 13.219 * [backup-simplify]: Simplify (+ 0 0) into 0 13.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 13.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 13.221 * [backup-simplify]: Simplify (+ 0 0) into 0 13.221 * [taylor]: Taking taylor expansion of 0 in n 13.221 * [backup-simplify]: Simplify 0 into 0 13.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 13.224 * [backup-simplify]: Simplify (+ 0 0) into 0 13.224 * [backup-simplify]: Simplify (+ 0 0) into 0 13.224 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.224 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.224 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.224 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.224 * [taylor]: Taking taylor expansion of M in M 13.224 * [backup-simplify]: Simplify 0 into 0 13.224 * [backup-simplify]: Simplify 1 into 1 13.225 * [backup-simplify]: Simplify (/ 1 1) into 1 13.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.226 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.226 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.226 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.226 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.226 * [taylor]: Taking taylor expansion of M in M 13.226 * [backup-simplify]: Simplify 0 into 0 13.226 * [backup-simplify]: Simplify 1 into 1 13.227 * [backup-simplify]: Simplify (/ 1 1) into 1 13.227 * [taylor]: Taking taylor expansion of 0 in M 13.227 * [backup-simplify]: Simplify 0 into 0 13.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.239 * [backup-simplify]: Simplify (+ 0 0) into 0 13.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.239 * [backup-simplify]: Simplify (- 0) into 0 13.240 * [backup-simplify]: Simplify (+ 0 0) into 0 13.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.242 * [backup-simplify]: Simplify (+ 0 0) into 0 13.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.242 * [backup-simplify]: Simplify (- 0) into 0 13.243 * [backup-simplify]: Simplify (+ 0 0) into 0 13.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 13.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 13.244 * [backup-simplify]: Simplify (+ 0 0) into 0 13.244 * [taylor]: Taking taylor expansion of 0 in n 13.244 * [backup-simplify]: Simplify 0 into 0 13.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.246 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 13.246 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 13.246 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1 l)) into (+ (/ 1 (pow M 2)) (/ 1 l)) 13.246 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 13.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.246 * [backup-simplify]: Simplify (- 0) into 0 13.247 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (/ 1 l)) 0) into (+ (/ 1 (pow M 2)) (/ 1 l)) 13.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (/ 1 l)) in M 13.247 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 13.247 * [taylor]: Taking taylor expansion of (pow M 2) in M 13.247 * [taylor]: Taking taylor expansion of M in M 13.247 * [backup-simplify]: Simplify 0 into 0 13.247 * [backup-simplify]: Simplify 1 into 1 13.247 * [backup-simplify]: Simplify (* 1 1) into 1 13.247 * [backup-simplify]: Simplify (/ 1 1) into 1 13.247 * [taylor]: Taking taylor expansion of (/ 1 l) in M 13.247 * [taylor]: Taking taylor expansion of l in M 13.247 * [backup-simplify]: Simplify l into l 13.247 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.248 * [backup-simplify]: Simplify (+ 1 0) into 1 13.248 * [taylor]: Taking taylor expansion of 1 in l 13.248 * [backup-simplify]: Simplify 1 into 1 13.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.249 * [backup-simplify]: Simplify (- 0) into 0 13.249 * [backup-simplify]: Simplify (+ 0 0) into 0 13.249 * [taylor]: Taking taylor expansion of 0 in M 13.249 * [backup-simplify]: Simplify 0 into 0 13.250 * [taylor]: Taking taylor expansion of 0 in M 13.250 * [backup-simplify]: Simplify 0 into 0 13.250 * [backup-simplify]: Simplify (- 1) into -1 13.250 * [taylor]: Taking taylor expansion of -1 in l 13.250 * [backup-simplify]: Simplify -1 into -1 13.250 * [backup-simplify]: Simplify (- 1) into -1 13.250 * [taylor]: Taking taylor expansion of -1 in l 13.250 * [backup-simplify]: Simplify -1 into -1 13.250 * [taylor]: Taking taylor expansion of 1/4 in l 13.250 * [backup-simplify]: Simplify 1/4 into 1/4 13.250 * [taylor]: Taking taylor expansion of 1/2 in l 13.250 * [backup-simplify]: Simplify 1/2 into 1/2 13.250 * [taylor]: Taking taylor expansion of 1/4 in l 13.250 * [backup-simplify]: Simplify 1/4 into 1/4 13.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 13.253 * [backup-simplify]: Simplify (+ 0 0) into 0 13.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.253 * [backup-simplify]: Simplify (- 0) into 0 13.254 * [backup-simplify]: Simplify (+ 0 0) into 0 13.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 13.256 * [backup-simplify]: Simplify (+ 0 0) into 0 13.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.257 * [backup-simplify]: Simplify (- 0) into 0 13.257 * [backup-simplify]: Simplify (+ 0 0) into 0 13.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))))) into 0 13.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 13.258 * [backup-simplify]: Simplify (+ 0 0) into 0 13.258 * [taylor]: Taking taylor expansion of 0 in n 13.258 * [backup-simplify]: Simplify 0 into 0 13.258 * [taylor]: Taking taylor expansion of 0 in M 13.258 * [backup-simplify]: Simplify 0 into 0 13.258 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 13.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 13.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 13.261 * [backup-simplify]: Simplify (+ 0 0) into 0 13.261 * [backup-simplify]: Simplify (+ 0 0) into 0 13.261 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.262 * [backup-simplify]: Simplify (- 0) into 0 13.262 * [backup-simplify]: Simplify (+ 0 0) into 0 13.262 * [taylor]: Taking taylor expansion of 0 in M 13.262 * [backup-simplify]: Simplify 0 into 0 13.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.263 * [backup-simplify]: Simplify (- 0) into 0 13.264 * [backup-simplify]: Simplify (+ 0 0) into 0 13.264 * [taylor]: Taking taylor expansion of 0 in M 13.264 * [backup-simplify]: Simplify 0 into 0 13.264 * [taylor]: Taking taylor expansion of 0 in M 13.264 * [backup-simplify]: Simplify 0 into 0 13.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.266 * [backup-simplify]: Simplify (+ 0 0) into 0 13.266 * [taylor]: Taking taylor expansion of 0 in l 13.266 * [backup-simplify]: Simplify 0 into 0 13.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.267 * [backup-simplify]: Simplify (- 0) into 0 13.267 * [taylor]: Taking taylor expansion of 0 in l 13.268 * [backup-simplify]: Simplify 0 into 0 13.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.269 * [backup-simplify]: Simplify (- 0) into 0 13.269 * [taylor]: Taking taylor expansion of 0 in l 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [taylor]: Taking taylor expansion of 0 in l 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [taylor]: Taking taylor expansion of 0 in l 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [taylor]: Taking taylor expansion of 0 in l 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [taylor]: Taking taylor expansion of 0 in l 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [backup-simplify]: Simplify 1 into 1 13.269 * [backup-simplify]: Simplify -1 into -1 13.269 * [backup-simplify]: Simplify -1 into -1 13.270 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m)))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 M)) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 13.271 * [backup-simplify]: Simplify (fma (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (/ 1 (- l))) into (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) 13.271 * [approximate]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in (m n M l) around 0 13.271 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in l 13.271 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.271 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in l 13.271 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 13.271 * [taylor]: Taking taylor expansion of (/ 1 M) in l 13.271 * [taylor]: Taking taylor expansion of M in l 13.271 * [backup-simplify]: Simplify M into M 13.271 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.271 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 13.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 13.271 * [taylor]: Taking taylor expansion of 1/2 in l 13.271 * [backup-simplify]: Simplify 1/2 into 1/2 13.271 * [taylor]: Taking taylor expansion of (/ 1 m) in l 13.271 * [taylor]: Taking taylor expansion of m in l 13.271 * [backup-simplify]: Simplify m into m 13.271 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 13.271 * [taylor]: Taking taylor expansion of 1/2 in l 13.271 * [backup-simplify]: Simplify 1/2 into 1/2 13.271 * [taylor]: Taking taylor expansion of (/ 1 n) in l 13.271 * [taylor]: Taking taylor expansion of n in l 13.271 * [backup-simplify]: Simplify n into n 13.271 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.271 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 13.272 * [taylor]: Taking taylor expansion of (/ 1 M) in l 13.272 * [taylor]: Taking taylor expansion of M in l 13.272 * [backup-simplify]: Simplify M into M 13.272 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.272 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 13.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 13.272 * [taylor]: Taking taylor expansion of 1/2 in l 13.272 * [backup-simplify]: Simplify 1/2 into 1/2 13.272 * [taylor]: Taking taylor expansion of (/ 1 m) in l 13.272 * [taylor]: Taking taylor expansion of m in l 13.272 * [backup-simplify]: Simplify m into m 13.272 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 13.272 * [taylor]: Taking taylor expansion of 1/2 in l 13.272 * [backup-simplify]: Simplify 1/2 into 1/2 13.272 * [taylor]: Taking taylor expansion of (/ 1 n) in l 13.272 * [taylor]: Taking taylor expansion of n in l 13.272 * [backup-simplify]: Simplify n into n 13.272 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.272 * [taylor]: Taking taylor expansion of (/ -1 l) in l 13.272 * [taylor]: Taking taylor expansion of -1 in l 13.272 * [backup-simplify]: Simplify -1 into -1 13.272 * [taylor]: Taking taylor expansion of l in l 13.272 * [backup-simplify]: Simplify 0 into 0 13.272 * [backup-simplify]: Simplify 1 into 1 13.273 * [backup-simplify]: Simplify (/ -1 1) into -1 13.273 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in M 13.273 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.273 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in M 13.273 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 13.273 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.273 * [taylor]: Taking taylor expansion of M in M 13.273 * [backup-simplify]: Simplify 0 into 0 13.273 * [backup-simplify]: Simplify 1 into 1 13.273 * [backup-simplify]: Simplify (/ 1 1) into 1 13.273 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.273 * [taylor]: Taking taylor expansion of 1/2 in M 13.274 * [backup-simplify]: Simplify 1/2 into 1/2 13.274 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.274 * [taylor]: Taking taylor expansion of m in M 13.274 * [backup-simplify]: Simplify m into m 13.274 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.274 * [taylor]: Taking taylor expansion of 1/2 in M 13.274 * [backup-simplify]: Simplify 1/2 into 1/2 13.274 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.274 * [taylor]: Taking taylor expansion of n in M 13.274 * [backup-simplify]: Simplify n into n 13.274 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.274 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 13.274 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.274 * [taylor]: Taking taylor expansion of M in M 13.274 * [backup-simplify]: Simplify 0 into 0 13.274 * [backup-simplify]: Simplify 1 into 1 13.274 * [backup-simplify]: Simplify (/ 1 1) into 1 13.274 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.274 * [taylor]: Taking taylor expansion of 1/2 in M 13.274 * [backup-simplify]: Simplify 1/2 into 1/2 13.274 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.275 * [taylor]: Taking taylor expansion of m in M 13.275 * [backup-simplify]: Simplify m into m 13.275 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.275 * [taylor]: Taking taylor expansion of 1/2 in M 13.275 * [backup-simplify]: Simplify 1/2 into 1/2 13.275 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.275 * [taylor]: Taking taylor expansion of n in M 13.275 * [backup-simplify]: Simplify n into n 13.275 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.275 * [taylor]: Taking taylor expansion of (/ -1 l) in M 13.275 * [taylor]: Taking taylor expansion of -1 in M 13.275 * [backup-simplify]: Simplify -1 into -1 13.275 * [taylor]: Taking taylor expansion of l in M 13.275 * [backup-simplify]: Simplify l into l 13.275 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 13.275 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in n 13.275 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.275 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in n 13.275 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 13.275 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.275 * [taylor]: Taking taylor expansion of M in n 13.275 * [backup-simplify]: Simplify M into M 13.275 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.275 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.275 * [taylor]: Taking taylor expansion of 1/2 in n 13.275 * [backup-simplify]: Simplify 1/2 into 1/2 13.275 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.275 * [taylor]: Taking taylor expansion of m in n 13.275 * [backup-simplify]: Simplify m into m 13.276 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.276 * [taylor]: Taking taylor expansion of 1/2 in n 13.276 * [backup-simplify]: Simplify 1/2 into 1/2 13.276 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.276 * [taylor]: Taking taylor expansion of n in n 13.276 * [backup-simplify]: Simplify 0 into 0 13.276 * [backup-simplify]: Simplify 1 into 1 13.276 * [backup-simplify]: Simplify (/ 1 1) into 1 13.276 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 13.276 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.276 * [taylor]: Taking taylor expansion of M in n 13.276 * [backup-simplify]: Simplify M into M 13.276 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.276 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.276 * [taylor]: Taking taylor expansion of 1/2 in n 13.276 * [backup-simplify]: Simplify 1/2 into 1/2 13.276 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.276 * [taylor]: Taking taylor expansion of m in n 13.276 * [backup-simplify]: Simplify m into m 13.277 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.277 * [taylor]: Taking taylor expansion of 1/2 in n 13.277 * [backup-simplify]: Simplify 1/2 into 1/2 13.277 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.277 * [taylor]: Taking taylor expansion of n in n 13.277 * [backup-simplify]: Simplify 0 into 0 13.277 * [backup-simplify]: Simplify 1 into 1 13.277 * [backup-simplify]: Simplify (/ 1 1) into 1 13.277 * [taylor]: Taking taylor expansion of (/ -1 l) in n 13.277 * [taylor]: Taking taylor expansion of -1 in n 13.277 * [backup-simplify]: Simplify -1 into -1 13.277 * [taylor]: Taking taylor expansion of l in n 13.277 * [backup-simplify]: Simplify l into l 13.277 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 13.277 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 13.277 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.277 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 13.277 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.277 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.277 * [taylor]: Taking taylor expansion of M in m 13.278 * [backup-simplify]: Simplify M into M 13.278 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.278 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.278 * [taylor]: Taking taylor expansion of 1/2 in m 13.278 * [backup-simplify]: Simplify 1/2 into 1/2 13.278 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.278 * [taylor]: Taking taylor expansion of m in m 13.278 * [backup-simplify]: Simplify 0 into 0 13.278 * [backup-simplify]: Simplify 1 into 1 13.278 * [backup-simplify]: Simplify (/ 1 1) into 1 13.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.278 * [taylor]: Taking taylor expansion of 1/2 in m 13.278 * [backup-simplify]: Simplify 1/2 into 1/2 13.278 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.278 * [taylor]: Taking taylor expansion of n in m 13.278 * [backup-simplify]: Simplify n into n 13.278 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.278 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.278 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.278 * [taylor]: Taking taylor expansion of M in m 13.278 * [backup-simplify]: Simplify M into M 13.279 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.279 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.279 * [taylor]: Taking taylor expansion of 1/2 in m 13.279 * [backup-simplify]: Simplify 1/2 into 1/2 13.279 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.279 * [taylor]: Taking taylor expansion of m in m 13.279 * [backup-simplify]: Simplify 0 into 0 13.279 * [backup-simplify]: Simplify 1 into 1 13.279 * [backup-simplify]: Simplify (/ 1 1) into 1 13.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.279 * [taylor]: Taking taylor expansion of 1/2 in m 13.279 * [backup-simplify]: Simplify 1/2 into 1/2 13.279 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.279 * [taylor]: Taking taylor expansion of n in m 13.279 * [backup-simplify]: Simplify n into n 13.279 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.279 * [taylor]: Taking taylor expansion of (/ -1 l) in m 13.279 * [taylor]: Taking taylor expansion of -1 in m 13.279 * [backup-simplify]: Simplify -1 into -1 13.279 * [taylor]: Taking taylor expansion of l in m 13.279 * [backup-simplify]: Simplify l into l 13.279 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 13.280 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 13.280 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.280 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 13.280 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.280 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.280 * [taylor]: Taking taylor expansion of M in m 13.280 * [backup-simplify]: Simplify M into M 13.280 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.280 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.280 * [taylor]: Taking taylor expansion of 1/2 in m 13.280 * [backup-simplify]: Simplify 1/2 into 1/2 13.280 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.280 * [taylor]: Taking taylor expansion of m in m 13.280 * [backup-simplify]: Simplify 0 into 0 13.280 * [backup-simplify]: Simplify 1 into 1 13.280 * [backup-simplify]: Simplify (/ 1 1) into 1 13.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.280 * [taylor]: Taking taylor expansion of 1/2 in m 13.280 * [backup-simplify]: Simplify 1/2 into 1/2 13.281 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.281 * [taylor]: Taking taylor expansion of n in m 13.281 * [backup-simplify]: Simplify n into n 13.281 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.281 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.281 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.281 * [taylor]: Taking taylor expansion of M in m 13.281 * [backup-simplify]: Simplify M into M 13.281 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.281 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.281 * [taylor]: Taking taylor expansion of 1/2 in m 13.281 * [backup-simplify]: Simplify 1/2 into 1/2 13.281 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.281 * [taylor]: Taking taylor expansion of m in m 13.281 * [backup-simplify]: Simplify 0 into 0 13.281 * [backup-simplify]: Simplify 1 into 1 13.281 * [backup-simplify]: Simplify (/ 1 1) into 1 13.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.281 * [taylor]: Taking taylor expansion of 1/2 in m 13.281 * [backup-simplify]: Simplify 1/2 into 1/2 13.281 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.281 * [taylor]: Taking taylor expansion of n in m 13.282 * [backup-simplify]: Simplify n into n 13.282 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.282 * [taylor]: Taking taylor expansion of (/ -1 l) in m 13.282 * [taylor]: Taking taylor expansion of -1 in m 13.282 * [backup-simplify]: Simplify -1 into -1 13.282 * [taylor]: Taking taylor expansion of l in m 13.282 * [backup-simplify]: Simplify l into l 13.282 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 13.282 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.283 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.283 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.283 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.284 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.284 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.285 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.285 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.285 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 13.286 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.286 * [taylor]: Taking taylor expansion of 1/4 in n 13.286 * [backup-simplify]: Simplify 1/4 into 1/4 13.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.287 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.288 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.288 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 13.288 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 13.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.289 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.289 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.289 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 13.290 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 13.290 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.290 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.290 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 13.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.290 * [taylor]: Taking taylor expansion of 1/2 in n 13.290 * [backup-simplify]: Simplify 1/2 into 1/2 13.290 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.290 * [taylor]: Taking taylor expansion of n in n 13.290 * [backup-simplify]: Simplify 0 into 0 13.290 * [backup-simplify]: Simplify 1 into 1 13.291 * [backup-simplify]: Simplify (/ 1 1) into 1 13.291 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.291 * [taylor]: Taking taylor expansion of M in n 13.291 * [backup-simplify]: Simplify M into M 13.291 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.294 * [backup-simplify]: Simplify (+ 0 0) into 0 13.294 * [backup-simplify]: Simplify (- 0) into 0 13.295 * [backup-simplify]: Simplify (+ 0 0) into 0 13.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.297 * [backup-simplify]: Simplify (+ 0 0) into 0 13.298 * [backup-simplify]: Simplify (- 0) into 0 13.298 * [backup-simplify]: Simplify (+ 0 0) into 0 13.299 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 13.300 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ -1 l)) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) 13.300 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) in n 13.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 13.300 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 13.300 * [taylor]: Taking taylor expansion of (pow M 2) in n 13.300 * [taylor]: Taking taylor expansion of M in n 13.300 * [backup-simplify]: Simplify M into M 13.300 * [backup-simplify]: Simplify (* M M) into (pow M 2) 13.300 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 13.300 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 13.300 * [taylor]: Taking taylor expansion of 1/4 in n 13.300 * [backup-simplify]: Simplify 1/4 into 1/4 13.300 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.300 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.300 * [taylor]: Taking taylor expansion of n in n 13.300 * [backup-simplify]: Simplify 0 into 0 13.300 * [backup-simplify]: Simplify 1 into 1 13.300 * [backup-simplify]: Simplify (* 1 1) into 1 13.301 * [backup-simplify]: Simplify (/ 1 1) into 1 13.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 l)) in n 13.301 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 13.301 * [taylor]: Taking taylor expansion of (* M n) in n 13.301 * [taylor]: Taking taylor expansion of M in n 13.301 * [backup-simplify]: Simplify M into M 13.301 * [taylor]: Taking taylor expansion of n in n 13.301 * [backup-simplify]: Simplify 0 into 0 13.301 * [backup-simplify]: Simplify 1 into 1 13.301 * [backup-simplify]: Simplify (* M 0) into 0 13.301 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 13.301 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.301 * [taylor]: Taking taylor expansion of (/ 1 l) in n 13.301 * [taylor]: Taking taylor expansion of l in n 13.301 * [backup-simplify]: Simplify l into l 13.301 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.301 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 13.302 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.302 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.302 * [taylor]: Taking taylor expansion of 1/4 in M 13.302 * [backup-simplify]: Simplify 1/4 into 1/4 13.302 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.303 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.303 * [taylor]: Taking taylor expansion of 1/2 in M 13.303 * [backup-simplify]: Simplify 1/2 into 1/2 13.303 * [taylor]: Taking taylor expansion of 1/4 in M 13.303 * [backup-simplify]: Simplify 1/4 into 1/4 13.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.305 * [backup-simplify]: Simplify (+ 0 0) into 0 13.305 * [backup-simplify]: Simplify (- 0) into 0 13.305 * [backup-simplify]: Simplify (+ 0 0) into 0 13.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.308 * [backup-simplify]: Simplify (+ 0 0) into 0 13.308 * [backup-simplify]: Simplify (- 0) into 0 13.308 * [backup-simplify]: Simplify (+ 0 0) into 0 13.309 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 13.309 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)))) into 0 13.309 * [backup-simplify]: Simplify (+ 0 0) into 0 13.309 * [taylor]: Taking taylor expansion of 0 in n 13.309 * [backup-simplify]: Simplify 0 into 0 13.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.310 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 13.311 * [backup-simplify]: Simplify (+ 0 0) into 0 13.311 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 13.311 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.311 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.311 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.311 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.311 * [taylor]: Taking taylor expansion of M in M 13.311 * [backup-simplify]: Simplify 0 into 0 13.311 * [backup-simplify]: Simplify 1 into 1 13.311 * [backup-simplify]: Simplify (/ 1 1) into 1 13.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.312 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.312 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.313 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.313 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.313 * [taylor]: Taking taylor expansion of M in M 13.313 * [backup-simplify]: Simplify 0 into 0 13.313 * [backup-simplify]: Simplify 1 into 1 13.313 * [backup-simplify]: Simplify (/ 1 1) into 1 13.313 * [taylor]: Taking taylor expansion of 0 in M 13.313 * [backup-simplify]: Simplify 0 into 0 13.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.315 * [backup-simplify]: Simplify (+ 0 0) into 0 13.316 * [backup-simplify]: Simplify (- 0) into 0 13.316 * [backup-simplify]: Simplify (+ 0 0) into 0 13.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.318 * [backup-simplify]: Simplify (+ 0 0) into 0 13.319 * [backup-simplify]: Simplify (- 0) into 0 13.319 * [backup-simplify]: Simplify (+ 0 0) into 0 13.320 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 13.320 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 13.320 * [backup-simplify]: Simplify (+ 0 0) into 0 13.320 * [taylor]: Taking taylor expansion of 0 in n 13.320 * [backup-simplify]: Simplify 0 into 0 13.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.322 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 13.322 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 13.322 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 13.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.322 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 13.322 * [backup-simplify]: Simplify (- (/ 1 l)) into (- (/ 1 l)) 13.323 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (- (/ 1 l))) into (- (/ 1 (pow M 2)) (/ 1 l)) 13.323 * [taylor]: Taking taylor expansion of (- (/ 1 (pow M 2)) (/ 1 l)) in M 13.323 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 13.323 * [taylor]: Taking taylor expansion of (pow M 2) in M 13.323 * [taylor]: Taking taylor expansion of M in M 13.323 * [backup-simplify]: Simplify 0 into 0 13.323 * [backup-simplify]: Simplify 1 into 1 13.323 * [backup-simplify]: Simplify (* 1 1) into 1 13.323 * [backup-simplify]: Simplify (/ 1 1) into 1 13.323 * [taylor]: Taking taylor expansion of (/ 1 l) in M 13.323 * [taylor]: Taking taylor expansion of l in M 13.323 * [backup-simplify]: Simplify l into l 13.323 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.324 * [backup-simplify]: Simplify (+ 1 0) into 1 13.324 * [taylor]: Taking taylor expansion of 1 in l 13.324 * [backup-simplify]: Simplify 1 into 1 13.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.325 * [backup-simplify]: Simplify (- 0) into 0 13.325 * [backup-simplify]: Simplify (+ 0 0) into 0 13.325 * [taylor]: Taking taylor expansion of 0 in M 13.325 * [backup-simplify]: Simplify 0 into 0 13.326 * [taylor]: Taking taylor expansion of 0 in M 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [backup-simplify]: Simplify (- 1) into -1 13.326 * [taylor]: Taking taylor expansion of -1 in l 13.326 * [backup-simplify]: Simplify -1 into -1 13.326 * [backup-simplify]: Simplify (- 1) into -1 13.326 * [taylor]: Taking taylor expansion of -1 in l 13.326 * [backup-simplify]: Simplify -1 into -1 13.326 * [taylor]: Taking taylor expansion of 1/4 in l 13.326 * [backup-simplify]: Simplify 1/4 into 1/4 13.326 * [taylor]: Taking taylor expansion of 1/2 in l 13.326 * [backup-simplify]: Simplify 1/2 into 1/2 13.326 * [taylor]: Taking taylor expansion of 1/4 in l 13.326 * [backup-simplify]: Simplify 1/4 into 1/4 13.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 13.330 * [backup-simplify]: Simplify (+ 0 0) into 0 13.331 * [backup-simplify]: Simplify (- 0) into 0 13.331 * [backup-simplify]: Simplify (+ 0 0) into 0 13.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 13.336 * [backup-simplify]: Simplify (+ 0 0) into 0 13.336 * [backup-simplify]: Simplify (- 0) into 0 13.336 * [backup-simplify]: Simplify (+ 0 0) into 0 13.338 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))))) into 0 13.338 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 13.339 * [backup-simplify]: Simplify (+ 0 0) into 0 13.339 * [taylor]: Taking taylor expansion of 0 in n 13.339 * [backup-simplify]: Simplify 0 into 0 13.339 * [taylor]: Taking taylor expansion of 0 in M 13.339 * [backup-simplify]: Simplify 0 into 0 13.339 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 13.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 13.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.342 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.343 * [backup-simplify]: Simplify (+ 0 0) into 0 13.343 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 13.344 * [backup-simplify]: Simplify (+ 0 0) into 0 13.344 * [backup-simplify]: Simplify (- 0) into 0 13.345 * [backup-simplify]: Simplify (+ 0 0) into 0 13.345 * [taylor]: Taking taylor expansion of 0 in M 13.345 * [backup-simplify]: Simplify 0 into 0 13.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.353 * [backup-simplify]: Simplify (- 0) into 0 13.353 * [backup-simplify]: Simplify (+ 0 0) into 0 13.353 * [taylor]: Taking taylor expansion of 0 in M 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [taylor]: Taking taylor expansion of 0 in M 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.355 * [backup-simplify]: Simplify (+ 0 0) into 0 13.355 * [taylor]: Taking taylor expansion of 0 in l 13.355 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.357 * [backup-simplify]: Simplify (- 0) into 0 13.357 * [taylor]: Taking taylor expansion of 0 in l 13.357 * [backup-simplify]: Simplify 0 into 0 13.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.358 * [backup-simplify]: Simplify (- 0) into 0 13.358 * [taylor]: Taking taylor expansion of 0 in l 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [taylor]: Taking taylor expansion of 0 in l 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [taylor]: Taking taylor expansion of 0 in l 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [taylor]: Taking taylor expansion of 0 in l 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [taylor]: Taking taylor expansion of 0 in l 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [backup-simplify]: Simplify 1 into 1 13.358 * [backup-simplify]: Simplify -1 into -1 13.358 * [backup-simplify]: Simplify -1 into -1 13.359 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m))))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 13.359 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 13.360 * [backup-simplify]: Simplify (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) into (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) 13.360 * [approximate]: Taking taylor expansion of (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) in (m n M l) around 0 13.360 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) in l 13.360 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in l 13.360 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.360 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in l 13.360 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 13.360 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 13.360 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 13.360 * [taylor]: Taking taylor expansion of 1/2 in l 13.360 * [backup-simplify]: Simplify 1/2 into 1/2 13.360 * [taylor]: Taking taylor expansion of m in l 13.360 * [backup-simplify]: Simplify m into m 13.360 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 13.360 * [taylor]: Taking taylor expansion of 1/2 in l 13.360 * [backup-simplify]: Simplify 1/2 into 1/2 13.360 * [taylor]: Taking taylor expansion of n in l 13.360 * [backup-simplify]: Simplify n into n 13.360 * [taylor]: Taking taylor expansion of M in l 13.360 * [backup-simplify]: Simplify M into M 13.360 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in l 13.360 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in l 13.360 * [taylor]: Taking taylor expansion of (* 1/2 m) in l 13.360 * [taylor]: Taking taylor expansion of 1/2 in l 13.361 * [backup-simplify]: Simplify 1/2 into 1/2 13.361 * [taylor]: Taking taylor expansion of m in l 13.361 * [backup-simplify]: Simplify m into m 13.361 * [taylor]: Taking taylor expansion of (* 1/2 n) in l 13.361 * [taylor]: Taking taylor expansion of 1/2 in l 13.361 * [backup-simplify]: Simplify 1/2 into 1/2 13.361 * [taylor]: Taking taylor expansion of n in l 13.361 * [backup-simplify]: Simplify n into n 13.361 * [taylor]: Taking taylor expansion of M in l 13.361 * [backup-simplify]: Simplify M into M 13.361 * [taylor]: Taking taylor expansion of l in l 13.361 * [backup-simplify]: Simplify 0 into 0 13.361 * [backup-simplify]: Simplify 1 into 1 13.361 * [taylor]: Taking taylor expansion of (fabs (- m n)) in l 13.361 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 13.361 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) in M 13.361 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in M 13.361 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.361 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in M 13.361 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 13.361 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 13.361 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 13.361 * [taylor]: Taking taylor expansion of 1/2 in M 13.361 * [backup-simplify]: Simplify 1/2 into 1/2 13.361 * [taylor]: Taking taylor expansion of m in M 13.361 * [backup-simplify]: Simplify m into m 13.361 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 13.361 * [taylor]: Taking taylor expansion of 1/2 in M 13.361 * [backup-simplify]: Simplify 1/2 into 1/2 13.361 * [taylor]: Taking taylor expansion of n in M 13.361 * [backup-simplify]: Simplify n into n 13.361 * [taylor]: Taking taylor expansion of M in M 13.361 * [backup-simplify]: Simplify 0 into 0 13.361 * [backup-simplify]: Simplify 1 into 1 13.361 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in M 13.361 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in M 13.361 * [taylor]: Taking taylor expansion of (* 1/2 m) in M 13.362 * [taylor]: Taking taylor expansion of 1/2 in M 13.362 * [backup-simplify]: Simplify 1/2 into 1/2 13.362 * [taylor]: Taking taylor expansion of m in M 13.362 * [backup-simplify]: Simplify m into m 13.362 * [taylor]: Taking taylor expansion of (* 1/2 n) in M 13.362 * [taylor]: Taking taylor expansion of 1/2 in M 13.362 * [backup-simplify]: Simplify 1/2 into 1/2 13.362 * [taylor]: Taking taylor expansion of n in M 13.362 * [backup-simplify]: Simplify n into n 13.362 * [taylor]: Taking taylor expansion of M in M 13.362 * [backup-simplify]: Simplify 0 into 0 13.362 * [backup-simplify]: Simplify 1 into 1 13.362 * [taylor]: Taking taylor expansion of l in M 13.362 * [backup-simplify]: Simplify l into l 13.362 * [taylor]: Taking taylor expansion of (fabs (- m n)) in M 13.362 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 13.362 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) in n 13.362 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in n 13.362 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.362 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in n 13.362 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 13.362 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 13.362 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 13.362 * [taylor]: Taking taylor expansion of 1/2 in n 13.362 * [backup-simplify]: Simplify 1/2 into 1/2 13.362 * [taylor]: Taking taylor expansion of m in n 13.362 * [backup-simplify]: Simplify m into m 13.362 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.362 * [taylor]: Taking taylor expansion of 1/2 in n 13.362 * [backup-simplify]: Simplify 1/2 into 1/2 13.362 * [taylor]: Taking taylor expansion of n in n 13.362 * [backup-simplify]: Simplify 0 into 0 13.362 * [backup-simplify]: Simplify 1 into 1 13.362 * [taylor]: Taking taylor expansion of M in n 13.362 * [backup-simplify]: Simplify M into M 13.362 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in n 13.362 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in n 13.363 * [taylor]: Taking taylor expansion of (* 1/2 m) in n 13.363 * [taylor]: Taking taylor expansion of 1/2 in n 13.363 * [backup-simplify]: Simplify 1/2 into 1/2 13.363 * [taylor]: Taking taylor expansion of m in n 13.363 * [backup-simplify]: Simplify m into m 13.363 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.363 * [taylor]: Taking taylor expansion of 1/2 in n 13.363 * [backup-simplify]: Simplify 1/2 into 1/2 13.363 * [taylor]: Taking taylor expansion of n in n 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [backup-simplify]: Simplify 1 into 1 13.363 * [taylor]: Taking taylor expansion of M in n 13.363 * [backup-simplify]: Simplify M into M 13.363 * [taylor]: Taking taylor expansion of l in n 13.363 * [backup-simplify]: Simplify l into l 13.363 * [taylor]: Taking taylor expansion of (fabs (- m n)) in n 13.363 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 13.363 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) in m 13.363 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 13.363 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.363 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 13.363 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.363 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.363 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.363 * [taylor]: Taking taylor expansion of 1/2 in m 13.363 * [backup-simplify]: Simplify 1/2 into 1/2 13.363 * [taylor]: Taking taylor expansion of m in m 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [backup-simplify]: Simplify 1 into 1 13.363 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.363 * [taylor]: Taking taylor expansion of 1/2 in m 13.363 * [backup-simplify]: Simplify 1/2 into 1/2 13.363 * [taylor]: Taking taylor expansion of n in m 13.363 * [backup-simplify]: Simplify n into n 13.363 * [taylor]: Taking taylor expansion of M in m 13.363 * [backup-simplify]: Simplify M into M 13.363 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.363 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.364 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.364 * [taylor]: Taking taylor expansion of 1/2 in m 13.364 * [backup-simplify]: Simplify 1/2 into 1/2 13.364 * [taylor]: Taking taylor expansion of m in m 13.364 * [backup-simplify]: Simplify 0 into 0 13.364 * [backup-simplify]: Simplify 1 into 1 13.364 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.364 * [taylor]: Taking taylor expansion of 1/2 in m 13.364 * [backup-simplify]: Simplify 1/2 into 1/2 13.364 * [taylor]: Taking taylor expansion of n in m 13.364 * [backup-simplify]: Simplify n into n 13.364 * [taylor]: Taking taylor expansion of M in m 13.364 * [backup-simplify]: Simplify M into M 13.364 * [taylor]: Taking taylor expansion of l in m 13.364 * [backup-simplify]: Simplify l into l 13.364 * [taylor]: Taking taylor expansion of (fabs (- m n)) in m 13.364 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 13.364 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) (fabs (- m n))) in m 13.364 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M) l) in m 13.364 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) l) 13.364 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) in m 13.364 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.364 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.364 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.364 * [taylor]: Taking taylor expansion of 1/2 in m 13.364 * [backup-simplify]: Simplify 1/2 into 1/2 13.364 * [taylor]: Taking taylor expansion of m in m 13.364 * [backup-simplify]: Simplify 0 into 0 13.364 * [backup-simplify]: Simplify 1 into 1 13.364 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.364 * [taylor]: Taking taylor expansion of 1/2 in m 13.364 * [backup-simplify]: Simplify 1/2 into 1/2 13.364 * [taylor]: Taking taylor expansion of n in m 13.364 * [backup-simplify]: Simplify n into n 13.364 * [taylor]: Taking taylor expansion of M in m 13.364 * [backup-simplify]: Simplify M into M 13.364 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 m) (* 1/2 n)) M) in m 13.364 * [taylor]: Taking taylor expansion of (+ (* 1/2 m) (* 1/2 n)) in m 13.365 * [taylor]: Taking taylor expansion of (* 1/2 m) in m 13.365 * [taylor]: Taking taylor expansion of 1/2 in m 13.365 * [backup-simplify]: Simplify 1/2 into 1/2 13.365 * [taylor]: Taking taylor expansion of m in m 13.365 * [backup-simplify]: Simplify 0 into 0 13.365 * [backup-simplify]: Simplify 1 into 1 13.365 * [taylor]: Taking taylor expansion of (* 1/2 n) in m 13.365 * [taylor]: Taking taylor expansion of 1/2 in m 13.365 * [backup-simplify]: Simplify 1/2 into 1/2 13.365 * [taylor]: Taking taylor expansion of n in m 13.365 * [backup-simplify]: Simplify n into n 13.365 * [taylor]: Taking taylor expansion of M in m 13.365 * [backup-simplify]: Simplify M into M 13.365 * [taylor]: Taking taylor expansion of l in m 13.365 * [backup-simplify]: Simplify l into l 13.365 * [taylor]: Taking taylor expansion of (fabs (- m n)) in m 13.365 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 13.366 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.366 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 13.366 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 13.366 * [backup-simplify]: Simplify (- M) into (- M) 13.366 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 13.366 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.366 * [backup-simplify]: Simplify (* 1/2 n) into (* 1/2 n) 13.366 * [backup-simplify]: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) 13.366 * [backup-simplify]: Simplify (- M) into (- M) 13.367 * [backup-simplify]: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) 13.367 * [backup-simplify]: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) 13.367 * [backup-simplify]: Simplify (+ (pow (- (* 1/2 n) M) 2) l) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) 13.367 * [backup-simplify]: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) 13.367 * [backup-simplify]: Simplify (+ (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (* M n)) (- (fabs (- m n)))) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (+ (* M n) (fabs (- m n)))) 13.367 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (+ (* M n) (fabs (- m n)))) in n 13.367 * [taylor]: Taking taylor expansion of (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) in n 13.367 * [taylor]: Taking taylor expansion of (pow M 2) in n 13.368 * [taylor]: Taking taylor expansion of M in n 13.368 * [backup-simplify]: Simplify M into M 13.368 * [taylor]: Taking taylor expansion of (+ l (* 1/4 (pow n 2))) in n 13.368 * [taylor]: Taking taylor expansion of l in n 13.368 * [backup-simplify]: Simplify l into l 13.368 * [taylor]: Taking taylor expansion of (* 1/4 (pow n 2)) in n 13.368 * [taylor]: Taking taylor expansion of 1/4 in n 13.368 * [backup-simplify]: Simplify 1/4 into 1/4 13.368 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.368 * [taylor]: Taking taylor expansion of n in n 13.368 * [backup-simplify]: Simplify 0 into 0 13.368 * [backup-simplify]: Simplify 1 into 1 13.368 * [taylor]: Taking taylor expansion of (+ (* M n) (fabs (- m n))) in n 13.368 * [taylor]: Taking taylor expansion of (* M n) in n 13.368 * [taylor]: Taking taylor expansion of M in n 13.368 * [backup-simplify]: Simplify M into M 13.368 * [taylor]: Taking taylor expansion of n in n 13.368 * [backup-simplify]: Simplify 0 into 0 13.368 * [backup-simplify]: Simplify 1 into 1 13.368 * [taylor]: Taking taylor expansion of (fabs (- m n)) in n 13.368 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 13.368 * [backup-simplify]: Simplify (* M M) into (pow M 2) 13.368 * [backup-simplify]: Simplify (+ l 0) into l 13.368 * [backup-simplify]: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) 13.368 * [backup-simplify]: Simplify (* M 0) into 0 13.368 * [backup-simplify]: Simplify (+ 0 (fabs (- m n))) into (fabs (- m n)) 13.368 * [backup-simplify]: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) 13.369 * [backup-simplify]: Simplify (+ (+ (pow M 2) l) (- (fabs (- m n)))) into (- (+ (pow M 2) l) (fabs (- m n))) 13.369 * [taylor]: Taking taylor expansion of (- (+ (pow M 2) l) (fabs (- m n))) in M 13.369 * [taylor]: Taking taylor expansion of (+ (pow M 2) l) in M 13.369 * [taylor]: Taking taylor expansion of (pow M 2) in M 13.369 * [taylor]: Taking taylor expansion of M in M 13.369 * [backup-simplify]: Simplify 0 into 0 13.369 * [backup-simplify]: Simplify 1 into 1 13.369 * [taylor]: Taking taylor expansion of l in M 13.369 * [backup-simplify]: Simplify l into l 13.369 * [taylor]: Taking taylor expansion of (fabs (- m n)) in M 13.369 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 13.369 * [backup-simplify]: Simplify (+ 0 l) into l 13.369 * [backup-simplify]: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) 13.369 * [backup-simplify]: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) 13.369 * [taylor]: Taking taylor expansion of (- l (fabs (- m n))) in l 13.369 * [taylor]: Taking taylor expansion of l in l 13.369 * [backup-simplify]: Simplify 0 into 0 13.369 * [backup-simplify]: Simplify 1 into 1 13.369 * [taylor]: Taking taylor expansion of (fabs (- m n)) in l 13.369 * [backup-simplify]: Simplify (fabs (- m n)) into (fabs (- m n)) 13.369 * [backup-simplify]: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) 13.369 * [backup-simplify]: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) 13.370 * [backup-simplify]: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) 13.370 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 13.371 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.372 * [backup-simplify]: Simplify (- 0) into 0 13.372 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.373 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 n)) into 0 13.374 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.374 * [backup-simplify]: Simplify (- 0) into 0 13.374 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.375 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) 13.375 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 13.376 * [backup-simplify]: Simplify (- 0) into 0 13.376 * [backup-simplify]: Simplify (+ (- (* 1/2 n) M) 0) into (- (* 1/2 n) M) 13.376 * [taylor]: Taking taylor expansion of (- (* 1/2 n) M) in n 13.376 * [taylor]: Taking taylor expansion of (* 1/2 n) in n 13.376 * [taylor]: Taking taylor expansion of 1/2 in n 13.376 * [backup-simplify]: Simplify 1/2 into 1/2 13.376 * [taylor]: Taking taylor expansion of n in n 13.376 * [backup-simplify]: Simplify 0 into 0 13.376 * [backup-simplify]: Simplify 1 into 1 13.376 * [taylor]: Taking taylor expansion of M in n 13.376 * [backup-simplify]: Simplify M into M 13.376 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.376 * [backup-simplify]: Simplify (- M) into (- M) 13.376 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.376 * [taylor]: Taking taylor expansion of (- M) in M 13.376 * [taylor]: Taking taylor expansion of M in M 13.377 * [backup-simplify]: Simplify 0 into 0 13.377 * [backup-simplify]: Simplify 1 into 1 13.377 * [backup-simplify]: Simplify (- 0) into 0 13.377 * [taylor]: Taking taylor expansion of 0 in l 13.377 * [backup-simplify]: Simplify 0 into 0 13.377 * [backup-simplify]: Simplify 0 into 0 13.377 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 13.377 * [backup-simplify]: Simplify (+ 0 0) into 0 13.378 * [backup-simplify]: Simplify (+ 0 0) into 0 13.378 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 13.378 * [backup-simplify]: Simplify (+ M 0) into M 13.378 * [backup-simplify]: Simplify (- M) into (- M) 13.378 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 13.378 * [taylor]: Taking taylor expansion of (- M) in M 13.378 * [taylor]: Taking taylor expansion of M in M 13.378 * [backup-simplify]: Simplify 0 into 0 13.379 * [backup-simplify]: Simplify 1 into 1 13.379 * [backup-simplify]: Simplify (- 0) into 0 13.379 * [taylor]: Taking taylor expansion of 0 in l 13.379 * [backup-simplify]: Simplify 0 into 0 13.379 * [backup-simplify]: Simplify 0 into 0 13.379 * [backup-simplify]: Simplify (+ 0 0) into 0 13.380 * [backup-simplify]: Simplify (- 0) into 0 13.380 * [backup-simplify]: Simplify (+ 0 0) into 0 13.380 * [taylor]: Taking taylor expansion of 0 in l 13.380 * [backup-simplify]: Simplify 0 into 0 13.380 * [backup-simplify]: Simplify 0 into 0 13.381 * [backup-simplify]: Simplify (- 0) into 0 13.381 * [backup-simplify]: Simplify (+ 1 0) into 1 13.381 * [backup-simplify]: Simplify 1 into 1 13.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 13.384 * [backup-simplify]: Simplify (+ 0 0) into 0 13.384 * [backup-simplify]: Simplify (- 0) into 0 13.384 * [backup-simplify]: Simplify (+ 0 0) into 0 13.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 n))) into 0 13.386 * [backup-simplify]: Simplify (+ 0 0) into 0 13.386 * [backup-simplify]: Simplify (- 0) into 0 13.386 * [backup-simplify]: Simplify (+ 0 0) into 0 13.386 * [backup-simplify]: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 13.387 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.387 * [backup-simplify]: Simplify (- 0) into 0 13.387 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.387 * [taylor]: Taking taylor expansion of 1/4 in n 13.387 * [backup-simplify]: Simplify 1/4 into 1/4 13.387 * [taylor]: Taking taylor expansion of 1/4 in M 13.387 * [backup-simplify]: Simplify 1/4 into 1/4 13.387 * [taylor]: Taking taylor expansion of 1/4 in l 13.387 * [backup-simplify]: Simplify 1/4 into 1/4 13.387 * [backup-simplify]: Simplify 1/4 into 1/4 13.388 * [backup-simplify]: Simplify (+ (* 1/4 (pow (* 1 (* 1 (* 1 m))) 2)) (+ (* 1 (* l (* 1 (* 1 1)))) (- (fabs (- m n))))) into (- (+ l (* 1/4 (pow m 2))) (fabs (- m n))) 13.388 * [backup-simplify]: Simplify (- (fma (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) into (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) 13.388 * [approximate]: Taking taylor expansion of (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in (m n M l) around 0 13.388 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in l 13.388 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in l 13.388 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.388 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in l 13.388 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 13.388 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 13.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 13.388 * [taylor]: Taking taylor expansion of 1/2 in l 13.388 * [backup-simplify]: Simplify 1/2 into 1/2 13.388 * [taylor]: Taking taylor expansion of (/ 1 m) in l 13.388 * [taylor]: Taking taylor expansion of m in l 13.388 * [backup-simplify]: Simplify m into m 13.388 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 13.388 * [taylor]: Taking taylor expansion of 1/2 in l 13.388 * [backup-simplify]: Simplify 1/2 into 1/2 13.389 * [taylor]: Taking taylor expansion of (/ 1 n) in l 13.389 * [taylor]: Taking taylor expansion of n in l 13.389 * [backup-simplify]: Simplify n into n 13.389 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.389 * [taylor]: Taking taylor expansion of (/ 1 M) in l 13.389 * [taylor]: Taking taylor expansion of M in l 13.389 * [backup-simplify]: Simplify M into M 13.389 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.389 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in l 13.389 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 13.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 13.389 * [taylor]: Taking taylor expansion of 1/2 in l 13.389 * [backup-simplify]: Simplify 1/2 into 1/2 13.389 * [taylor]: Taking taylor expansion of (/ 1 m) in l 13.389 * [taylor]: Taking taylor expansion of m in l 13.389 * [backup-simplify]: Simplify m into m 13.389 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 13.389 * [taylor]: Taking taylor expansion of 1/2 in l 13.389 * [backup-simplify]: Simplify 1/2 into 1/2 13.389 * [taylor]: Taking taylor expansion of (/ 1 n) in l 13.389 * [taylor]: Taking taylor expansion of n in l 13.389 * [backup-simplify]: Simplify n into n 13.389 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.389 * [taylor]: Taking taylor expansion of (/ 1 M) in l 13.389 * [taylor]: Taking taylor expansion of M in l 13.389 * [backup-simplify]: Simplify M into M 13.389 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.389 * [taylor]: Taking taylor expansion of (/ 1 l) in l 13.389 * [taylor]: Taking taylor expansion of l in l 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 1 into 1 13.389 * [backup-simplify]: Simplify (/ 1 1) into 1 13.389 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l 13.389 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 13.389 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in M 13.389 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in M 13.389 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.390 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in M 13.390 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 13.390 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.390 * [taylor]: Taking taylor expansion of 1/2 in M 13.390 * [backup-simplify]: Simplify 1/2 into 1/2 13.390 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.390 * [taylor]: Taking taylor expansion of m in M 13.390 * [backup-simplify]: Simplify m into m 13.390 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.390 * [taylor]: Taking taylor expansion of 1/2 in M 13.390 * [backup-simplify]: Simplify 1/2 into 1/2 13.390 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.390 * [taylor]: Taking taylor expansion of n in M 13.390 * [backup-simplify]: Simplify n into n 13.390 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.390 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.390 * [taylor]: Taking taylor expansion of M in M 13.390 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify 1 into 1 13.390 * [backup-simplify]: Simplify (/ 1 1) into 1 13.390 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in M 13.390 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.390 * [taylor]: Taking taylor expansion of 1/2 in M 13.390 * [backup-simplify]: Simplify 1/2 into 1/2 13.390 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.390 * [taylor]: Taking taylor expansion of m in M 13.390 * [backup-simplify]: Simplify m into m 13.390 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.390 * [taylor]: Taking taylor expansion of 1/2 in M 13.390 * [backup-simplify]: Simplify 1/2 into 1/2 13.390 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.390 * [taylor]: Taking taylor expansion of n in M 13.390 * [backup-simplify]: Simplify n into n 13.390 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.390 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.390 * [taylor]: Taking taylor expansion of M in M 13.390 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify 1 into 1 13.391 * [backup-simplify]: Simplify (/ 1 1) into 1 13.391 * [taylor]: Taking taylor expansion of (/ 1 l) in M 13.391 * [taylor]: Taking taylor expansion of l in M 13.391 * [backup-simplify]: Simplify l into l 13.391 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.391 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M 13.391 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 13.391 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in n 13.391 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in n 13.391 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.391 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in n 13.391 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 13.391 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.391 * [taylor]: Taking taylor expansion of 1/2 in n 13.391 * [backup-simplify]: Simplify 1/2 into 1/2 13.391 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.391 * [taylor]: Taking taylor expansion of m in n 13.391 * [backup-simplify]: Simplify m into m 13.391 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.391 * [taylor]: Taking taylor expansion of 1/2 in n 13.391 * [backup-simplify]: Simplify 1/2 into 1/2 13.391 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.391 * [taylor]: Taking taylor expansion of n in n 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify 1 into 1 13.391 * [backup-simplify]: Simplify (/ 1 1) into 1 13.392 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.392 * [taylor]: Taking taylor expansion of M in n 13.392 * [backup-simplify]: Simplify M into M 13.392 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.392 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in n 13.392 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.392 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.392 * [taylor]: Taking taylor expansion of 1/2 in n 13.392 * [backup-simplify]: Simplify 1/2 into 1/2 13.392 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.392 * [taylor]: Taking taylor expansion of m in n 13.392 * [backup-simplify]: Simplify m into m 13.392 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.392 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.392 * [taylor]: Taking taylor expansion of 1/2 in n 13.392 * [backup-simplify]: Simplify 1/2 into 1/2 13.392 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.392 * [taylor]: Taking taylor expansion of n in n 13.392 * [backup-simplify]: Simplify 0 into 0 13.392 * [backup-simplify]: Simplify 1 into 1 13.392 * [backup-simplify]: Simplify (/ 1 1) into 1 13.392 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.392 * [taylor]: Taking taylor expansion of M in n 13.392 * [backup-simplify]: Simplify M into M 13.392 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.392 * [taylor]: Taking taylor expansion of (/ 1 l) in n 13.392 * [taylor]: Taking taylor expansion of l in n 13.392 * [backup-simplify]: Simplify l into l 13.392 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.392 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n 13.392 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 13.392 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in m 13.392 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 13.392 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.392 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 13.392 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.393 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.393 * [taylor]: Taking taylor expansion of 1/2 in m 13.393 * [backup-simplify]: Simplify 1/2 into 1/2 13.393 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.393 * [taylor]: Taking taylor expansion of m in m 13.393 * [backup-simplify]: Simplify 0 into 0 13.393 * [backup-simplify]: Simplify 1 into 1 13.393 * [backup-simplify]: Simplify (/ 1 1) into 1 13.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.393 * [taylor]: Taking taylor expansion of 1/2 in m 13.393 * [backup-simplify]: Simplify 1/2 into 1/2 13.393 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.393 * [taylor]: Taking taylor expansion of n in m 13.393 * [backup-simplify]: Simplify n into n 13.393 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.393 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.393 * [taylor]: Taking taylor expansion of M in m 13.393 * [backup-simplify]: Simplify M into M 13.393 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.393 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.393 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.393 * [taylor]: Taking taylor expansion of 1/2 in m 13.393 * [backup-simplify]: Simplify 1/2 into 1/2 13.393 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.393 * [taylor]: Taking taylor expansion of m in m 13.393 * [backup-simplify]: Simplify 0 into 0 13.393 * [backup-simplify]: Simplify 1 into 1 13.393 * [backup-simplify]: Simplify (/ 1 1) into 1 13.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.393 * [taylor]: Taking taylor expansion of 1/2 in m 13.394 * [backup-simplify]: Simplify 1/2 into 1/2 13.394 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.394 * [taylor]: Taking taylor expansion of n in m 13.394 * [backup-simplify]: Simplify n into n 13.394 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.394 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.394 * [taylor]: Taking taylor expansion of M in m 13.394 * [backup-simplify]: Simplify M into M 13.394 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.394 * [taylor]: Taking taylor expansion of (/ 1 l) in m 13.394 * [taylor]: Taking taylor expansion of l in m 13.394 * [backup-simplify]: Simplify l into l 13.394 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.394 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m 13.394 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 13.394 * [taylor]: Taking taylor expansion of (- (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in m 13.394 * [taylor]: Taking taylor expansion of (fma (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (/ 1 l)) in m 13.394 * [taylor]: Rewrote expression to (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) (/ 1 l)) 13.394 * [taylor]: Taking taylor expansion of (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) in m 13.394 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.394 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.394 * [taylor]: Taking taylor expansion of 1/2 in m 13.394 * [backup-simplify]: Simplify 1/2 into 1/2 13.394 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.394 * [taylor]: Taking taylor expansion of m in m 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify 1 into 1 13.394 * [backup-simplify]: Simplify (/ 1 1) into 1 13.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.394 * [taylor]: Taking taylor expansion of 1/2 in m 13.394 * [backup-simplify]: Simplify 1/2 into 1/2 13.394 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.394 * [taylor]: Taking taylor expansion of n in m 13.394 * [backup-simplify]: Simplify n into n 13.394 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.394 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.395 * [taylor]: Taking taylor expansion of M in m 13.395 * [backup-simplify]: Simplify M into M 13.395 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.395 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) in m 13.395 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.395 * [taylor]: Taking taylor expansion of 1/2 in m 13.395 * [backup-simplify]: Simplify 1/2 into 1/2 13.395 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.395 * [taylor]: Taking taylor expansion of m in m 13.395 * [backup-simplify]: Simplify 0 into 0 13.395 * [backup-simplify]: Simplify 1 into 1 13.395 * [backup-simplify]: Simplify (/ 1 1) into 1 13.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.395 * [taylor]: Taking taylor expansion of 1/2 in m 13.395 * [backup-simplify]: Simplify 1/2 into 1/2 13.395 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.395 * [taylor]: Taking taylor expansion of n in m 13.395 * [backup-simplify]: Simplify n into n 13.395 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.395 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.395 * [taylor]: Taking taylor expansion of M in m 13.395 * [backup-simplify]: Simplify M into M 13.395 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.395 * [taylor]: Taking taylor expansion of (/ 1 l) in m 13.395 * [taylor]: Taking taylor expansion of l in m 13.395 * [backup-simplify]: Simplify l into l 13.395 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.395 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m 13.395 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 13.396 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.396 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.396 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.396 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.397 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.397 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.397 * [backup-simplify]: Simplify (* 1/2 1/2) into 1/4 13.397 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.398 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.398 * [taylor]: Taking taylor expansion of 1/4 in n 13.398 * [backup-simplify]: Simplify 1/4 into 1/4 13.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.399 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.399 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.399 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.399 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.400 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.400 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.400 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.400 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.400 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.400 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.400 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.400 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 13.400 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.401 * [taylor]: Taking taylor expansion of 1/2 in n 13.401 * [backup-simplify]: Simplify 1/2 into 1/2 13.401 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.401 * [taylor]: Taking taylor expansion of n in n 13.401 * [backup-simplify]: Simplify 0 into 0 13.401 * [backup-simplify]: Simplify 1 into 1 13.401 * [backup-simplify]: Simplify (/ 1 1) into 1 13.401 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.401 * [taylor]: Taking taylor expansion of M in n 13.401 * [backup-simplify]: Simplify M into M 13.401 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.403 * [backup-simplify]: Simplify (+ 0 0) into 0 13.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.403 * [backup-simplify]: Simplify (- 0) into 0 13.403 * [backup-simplify]: Simplify (+ 0 0) into 0 13.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.406 * [backup-simplify]: Simplify (+ 0 0) into 0 13.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.407 * [backup-simplify]: Simplify (- 0) into 0 13.407 * [backup-simplify]: Simplify (+ 0 0) into 0 13.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 13.409 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ 1 l)) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) 13.409 * [backup-simplify]: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) 13.410 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (/ 1 (* M n))) (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) 13.410 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) in n 13.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l))) in n 13.410 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 13.410 * [taylor]: Taking taylor expansion of (pow M 2) in n 13.410 * [taylor]: Taking taylor expansion of M in n 13.410 * [backup-simplify]: Simplify M into M 13.410 * [backup-simplify]: Simplify (* M M) into (pow M 2) 13.410 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 13.410 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow n 2))) (/ 1 l)) in n 13.410 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 13.410 * [taylor]: Taking taylor expansion of 1/4 in n 13.410 * [backup-simplify]: Simplify 1/4 into 1/4 13.410 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.410 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.410 * [taylor]: Taking taylor expansion of n in n 13.410 * [backup-simplify]: Simplify 0 into 0 13.410 * [backup-simplify]: Simplify 1 into 1 13.411 * [backup-simplify]: Simplify (* 1 1) into 1 13.411 * [backup-simplify]: Simplify (/ 1 1) into 1 13.411 * [taylor]: Taking taylor expansion of (/ 1 l) in n 13.411 * [taylor]: Taking taylor expansion of l in n 13.411 * [backup-simplify]: Simplify l into l 13.411 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) in n 13.412 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 13.412 * [taylor]: Taking taylor expansion of (* M n) in n 13.412 * [taylor]: Taking taylor expansion of M in n 13.412 * [backup-simplify]: Simplify M into M 13.412 * [taylor]: Taking taylor expansion of n in n 13.412 * [backup-simplify]: Simplify 0 into 0 13.412 * [backup-simplify]: Simplify 1 into 1 13.412 * [backup-simplify]: Simplify (* M 0) into 0 13.412 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 13.412 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.412 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n 13.412 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 13.413 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 13.413 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.414 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.414 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.414 * [taylor]: Taking taylor expansion of 1/4 in M 13.414 * [backup-simplify]: Simplify 1/4 into 1/4 13.415 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.415 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.415 * [taylor]: Taking taylor expansion of 1/2 in M 13.415 * [backup-simplify]: Simplify 1/2 into 1/2 13.415 * [taylor]: Taking taylor expansion of 1/4 in M 13.415 * [backup-simplify]: Simplify 1/4 into 1/4 13.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.419 * [backup-simplify]: Simplify (+ 0 0) into 0 13.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.420 * [backup-simplify]: Simplify (- 0) into 0 13.420 * [backup-simplify]: Simplify (+ 0 0) into 0 13.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.423 * [backup-simplify]: Simplify (+ 0 0) into 0 13.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.424 * [backup-simplify]: Simplify (- 0) into 0 13.424 * [backup-simplify]: Simplify (+ 0 0) into 0 13.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))) into 0 13.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 13.426 * [backup-simplify]: Simplify (+ 0 0) into 0 13.427 * [backup-simplify]: Simplify (- 0) into 0 13.427 * [backup-simplify]: Simplify (+ 0 0) into 0 13.427 * [taylor]: Taking taylor expansion of 0 in n 13.427 * [backup-simplify]: Simplify 0 into 0 13.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.429 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 13.430 * [backup-simplify]: Simplify (+ 0 0) into 0 13.430 * [backup-simplify]: Simplify (+ 0 0) into 0 13.430 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 13.430 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.430 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.430 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.430 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.430 * [taylor]: Taking taylor expansion of M in M 13.430 * [backup-simplify]: Simplify 0 into 0 13.430 * [backup-simplify]: Simplify 1 into 1 13.431 * [backup-simplify]: Simplify (/ 1 1) into 1 13.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.432 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.433 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.433 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.433 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.433 * [taylor]: Taking taylor expansion of M in M 13.433 * [backup-simplify]: Simplify 0 into 0 13.433 * [backup-simplify]: Simplify 1 into 1 13.433 * [backup-simplify]: Simplify (/ 1 1) into 1 13.433 * [taylor]: Taking taylor expansion of 0 in M 13.433 * [backup-simplify]: Simplify 0 into 0 13.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.437 * [backup-simplify]: Simplify (+ 0 0) into 0 13.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.438 * [backup-simplify]: Simplify (- 0) into 0 13.438 * [backup-simplify]: Simplify (+ 0 0) into 0 13.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.442 * [backup-simplify]: Simplify (+ 0 0) into 0 13.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.443 * [backup-simplify]: Simplify (- 0) into 0 13.443 * [backup-simplify]: Simplify (+ 0 0) into 0 13.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2))))) into 0 13.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 13.445 * [backup-simplify]: Simplify (+ 0 0) into 0 13.446 * [backup-simplify]: Simplify (- 0) into 0 13.446 * [backup-simplify]: Simplify (+ 0 0) into 0 13.446 * [taylor]: Taking taylor expansion of 0 in n 13.446 * [backup-simplify]: Simplify 0 into 0 13.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.449 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 13.449 * [backup-simplify]: Simplify (+ 0 (/ 1 l)) into (/ 1 l) 13.449 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (/ 1 l)) into (+ (/ 1 (pow M 2)) (/ 1 l)) 13.450 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 13.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.450 * [backup-simplify]: Simplify (+ 0 (fabs (- (/ 1 m) (/ 1 n)))) into (fabs (- (/ 1 m) (/ 1 n))) 13.450 * [backup-simplify]: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) 13.451 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow M 2)) (/ 1 l)) (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (+ (/ 1 (pow M 2)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) 13.451 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (/ 1 l)) (fabs (- (/ 1 m) (/ 1 n)))) in M 13.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (/ 1 l)) in M 13.451 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 13.451 * [taylor]: Taking taylor expansion of (pow M 2) in M 13.451 * [taylor]: Taking taylor expansion of M in M 13.451 * [backup-simplify]: Simplify 0 into 0 13.451 * [backup-simplify]: Simplify 1 into 1 13.451 * [backup-simplify]: Simplify (* 1 1) into 1 13.452 * [backup-simplify]: Simplify (/ 1 1) into 1 13.452 * [taylor]: Taking taylor expansion of (/ 1 l) in M 13.452 * [taylor]: Taking taylor expansion of l in M 13.452 * [backup-simplify]: Simplify l into l 13.452 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.452 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M 13.452 * [backup-simplify]: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) 13.452 * [backup-simplify]: Simplify (+ 1 0) into 1 13.453 * [backup-simplify]: Simplify (+ 1 0) into 1 13.453 * [taylor]: Taking taylor expansion of 1 in l 13.453 * [backup-simplify]: Simplify 1 into 1 13.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.455 * [backup-simplify]: Simplify (- 0) into 0 13.456 * [backup-simplify]: Simplify (+ 0 0) into 0 13.456 * [taylor]: Taking taylor expansion of 0 in M 13.456 * [backup-simplify]: Simplify 0 into 0 13.456 * [taylor]: Taking taylor expansion of 0 in M 13.456 * [backup-simplify]: Simplify 0 into 0 13.456 * [backup-simplify]: Simplify (- 1) into -1 13.456 * [taylor]: Taking taylor expansion of -1 in l 13.456 * [backup-simplify]: Simplify -1 into -1 13.456 * [backup-simplify]: Simplify (- 1) into -1 13.456 * [taylor]: Taking taylor expansion of -1 in l 13.456 * [backup-simplify]: Simplify -1 into -1 13.456 * [taylor]: Taking taylor expansion of 1/4 in l 13.456 * [backup-simplify]: Simplify 1/4 into 1/4 13.457 * [taylor]: Taking taylor expansion of 1/2 in l 13.457 * [backup-simplify]: Simplify 1/2 into 1/2 13.457 * [taylor]: Taking taylor expansion of 1/4 in l 13.457 * [backup-simplify]: Simplify 1/4 into 1/4 13.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 13.459 * [backup-simplify]: Simplify (+ 0 0) into 0 13.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.460 * [backup-simplify]: Simplify (- 0) into 0 13.460 * [backup-simplify]: Simplify (+ 0 0) into 0 13.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 13.463 * [backup-simplify]: Simplify (+ 0 0) into 0 13.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.463 * [backup-simplify]: Simplify (- 0) into 0 13.463 * [backup-simplify]: Simplify (+ 0 0) into 0 13.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 1/2 (/ 1 n)) (/ 1 M))) (* 0 1/2)))))) into 0 13.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 13.465 * [backup-simplify]: Simplify (+ 0 0) into 0 13.465 * [backup-simplify]: Simplify (- 0) into 0 13.465 * [backup-simplify]: Simplify (+ 0 0) into 0 13.465 * [taylor]: Taking taylor expansion of 0 in n 13.465 * [backup-simplify]: Simplify 0 into 0 13.465 * [taylor]: Taking taylor expansion of 0 in M 13.465 * [backup-simplify]: Simplify 0 into 0 13.465 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 13.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 13.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.467 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 13.468 * [backup-simplify]: Simplify (+ 0 0) into 0 13.468 * [backup-simplify]: Simplify (+ 0 0) into 0 13.468 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.469 * [backup-simplify]: Simplify (+ 0 0) into 0 13.469 * [backup-simplify]: Simplify (- 0) into 0 13.469 * [backup-simplify]: Simplify (+ 0 0) into 0 13.469 * [taylor]: Taking taylor expansion of 0 in M 13.469 * [backup-simplify]: Simplify 0 into 0 13.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.471 * [backup-simplify]: Simplify (- 0) into 0 13.471 * [backup-simplify]: Simplify (+ 0 0) into 0 13.471 * [taylor]: Taking taylor expansion of 0 in M 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [taylor]: Taking taylor expansion of 0 in M 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.472 * [backup-simplify]: Simplify (+ 0 0) into 0 13.472 * [backup-simplify]: Simplify (+ 0 0) into 0 13.472 * [taylor]: Taking taylor expansion of 0 in l 13.472 * [backup-simplify]: Simplify 0 into 0 13.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.473 * [backup-simplify]: Simplify (- 0) into 0 13.473 * [taylor]: Taking taylor expansion of 0 in l 13.473 * [backup-simplify]: Simplify 0 into 0 13.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.478 * [backup-simplify]: Simplify (- 0) into 0 13.478 * [taylor]: Taking taylor expansion of 0 in l 13.478 * [backup-simplify]: Simplify 0 into 0 13.478 * [taylor]: Taking taylor expansion of 0 in l 13.478 * [backup-simplify]: Simplify 0 into 0 13.478 * [taylor]: Taking taylor expansion of 0 in l 13.478 * [backup-simplify]: Simplify 0 into 0 13.478 * [taylor]: Taking taylor expansion of 0 in l 13.478 * [backup-simplify]: Simplify 0 into 0 13.478 * [taylor]: Taking taylor expansion of 0 in l 13.478 * [backup-simplify]: Simplify 0 into 0 13.478 * [backup-simplify]: Simplify 1 into 1 13.478 * [backup-simplify]: Simplify -1 into -1 13.478 * [backup-simplify]: Simplify -1 into -1 13.479 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m)))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 M)) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 13.479 * [backup-simplify]: Simplify (- (fma (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (/ 1 (- l))) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) into (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) 13.480 * [approximate]: Taking taylor expansion of (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) in (m n M l) around 0 13.480 * [taylor]: Taking taylor expansion of (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) in l 13.480 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in l 13.480 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.480 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in l 13.480 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 13.480 * [taylor]: Taking taylor expansion of (/ 1 M) in l 13.480 * [taylor]: Taking taylor expansion of M in l 13.480 * [backup-simplify]: Simplify M into M 13.480 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.480 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 13.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 13.480 * [taylor]: Taking taylor expansion of 1/2 in l 13.480 * [backup-simplify]: Simplify 1/2 into 1/2 13.480 * [taylor]: Taking taylor expansion of (/ 1 m) in l 13.480 * [taylor]: Taking taylor expansion of m in l 13.480 * [backup-simplify]: Simplify m into m 13.480 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 13.480 * [taylor]: Taking taylor expansion of 1/2 in l 13.480 * [backup-simplify]: Simplify 1/2 into 1/2 13.480 * [taylor]: Taking taylor expansion of (/ 1 n) in l 13.480 * [taylor]: Taking taylor expansion of n in l 13.480 * [backup-simplify]: Simplify n into n 13.480 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.480 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in l 13.480 * [taylor]: Taking taylor expansion of (/ 1 M) in l 13.480 * [taylor]: Taking taylor expansion of M in l 13.480 * [backup-simplify]: Simplify M into M 13.480 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.480 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in l 13.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in l 13.480 * [taylor]: Taking taylor expansion of 1/2 in l 13.480 * [backup-simplify]: Simplify 1/2 into 1/2 13.480 * [taylor]: Taking taylor expansion of (/ 1 m) in l 13.480 * [taylor]: Taking taylor expansion of m in l 13.480 * [backup-simplify]: Simplify m into m 13.480 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in l 13.480 * [taylor]: Taking taylor expansion of 1/2 in l 13.480 * [backup-simplify]: Simplify 1/2 into 1/2 13.480 * [taylor]: Taking taylor expansion of (/ 1 n) in l 13.480 * [taylor]: Taking taylor expansion of n in l 13.480 * [backup-simplify]: Simplify n into n 13.480 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.480 * [taylor]: Taking taylor expansion of (/ -1 l) in l 13.480 * [taylor]: Taking taylor expansion of -1 in l 13.480 * [backup-simplify]: Simplify -1 into -1 13.480 * [taylor]: Taking taylor expansion of l in l 13.480 * [backup-simplify]: Simplify 0 into 0 13.480 * [backup-simplify]: Simplify 1 into 1 13.481 * [backup-simplify]: Simplify (/ -1 1) into -1 13.481 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in l 13.481 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 13.481 * [taylor]: Taking taylor expansion of (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) in M 13.481 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in M 13.481 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.481 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in M 13.481 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 13.481 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.481 * [taylor]: Taking taylor expansion of M in M 13.481 * [backup-simplify]: Simplify 0 into 0 13.481 * [backup-simplify]: Simplify 1 into 1 13.481 * [backup-simplify]: Simplify (/ 1 1) into 1 13.481 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.481 * [taylor]: Taking taylor expansion of 1/2 in M 13.481 * [backup-simplify]: Simplify 1/2 into 1/2 13.481 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.481 * [taylor]: Taking taylor expansion of m in M 13.482 * [backup-simplify]: Simplify m into m 13.482 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.482 * [taylor]: Taking taylor expansion of 1/2 in M 13.482 * [backup-simplify]: Simplify 1/2 into 1/2 13.482 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.482 * [taylor]: Taking taylor expansion of n in M 13.482 * [backup-simplify]: Simplify n into n 13.482 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.482 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in M 13.482 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.482 * [taylor]: Taking taylor expansion of M in M 13.482 * [backup-simplify]: Simplify 0 into 0 13.482 * [backup-simplify]: Simplify 1 into 1 13.482 * [backup-simplify]: Simplify (/ 1 1) into 1 13.482 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in M 13.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in M 13.482 * [taylor]: Taking taylor expansion of 1/2 in M 13.482 * [backup-simplify]: Simplify 1/2 into 1/2 13.482 * [taylor]: Taking taylor expansion of (/ 1 m) in M 13.482 * [taylor]: Taking taylor expansion of m in M 13.482 * [backup-simplify]: Simplify m into m 13.482 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in M 13.482 * [taylor]: Taking taylor expansion of 1/2 in M 13.482 * [backup-simplify]: Simplify 1/2 into 1/2 13.482 * [taylor]: Taking taylor expansion of (/ 1 n) in M 13.482 * [taylor]: Taking taylor expansion of n in M 13.482 * [backup-simplify]: Simplify n into n 13.482 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.482 * [taylor]: Taking taylor expansion of (/ -1 l) in M 13.482 * [taylor]: Taking taylor expansion of -1 in M 13.482 * [backup-simplify]: Simplify -1 into -1 13.482 * [taylor]: Taking taylor expansion of l in M 13.482 * [backup-simplify]: Simplify l into l 13.482 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 13.482 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in M 13.482 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 13.482 * [taylor]: Taking taylor expansion of (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) in n 13.483 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in n 13.483 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.483 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in n 13.483 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 13.483 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.483 * [taylor]: Taking taylor expansion of M in n 13.483 * [backup-simplify]: Simplify M into M 13.483 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.483 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.483 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.483 * [taylor]: Taking taylor expansion of 1/2 in n 13.483 * [backup-simplify]: Simplify 1/2 into 1/2 13.483 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.483 * [taylor]: Taking taylor expansion of m in n 13.483 * [backup-simplify]: Simplify m into m 13.483 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.483 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.483 * [taylor]: Taking taylor expansion of 1/2 in n 13.483 * [backup-simplify]: Simplify 1/2 into 1/2 13.483 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.483 * [taylor]: Taking taylor expansion of n in n 13.483 * [backup-simplify]: Simplify 0 into 0 13.483 * [backup-simplify]: Simplify 1 into 1 13.483 * [backup-simplify]: Simplify (/ 1 1) into 1 13.483 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in n 13.483 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.483 * [taylor]: Taking taylor expansion of M in n 13.483 * [backup-simplify]: Simplify M into M 13.483 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.483 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in n 13.483 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in n 13.483 * [taylor]: Taking taylor expansion of 1/2 in n 13.483 * [backup-simplify]: Simplify 1/2 into 1/2 13.483 * [taylor]: Taking taylor expansion of (/ 1 m) in n 13.483 * [taylor]: Taking taylor expansion of m in n 13.483 * [backup-simplify]: Simplify m into m 13.483 * [backup-simplify]: Simplify (/ 1 m) into (/ 1 m) 13.483 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.483 * [taylor]: Taking taylor expansion of 1/2 in n 13.484 * [backup-simplify]: Simplify 1/2 into 1/2 13.484 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.484 * [taylor]: Taking taylor expansion of n in n 13.484 * [backup-simplify]: Simplify 0 into 0 13.484 * [backup-simplify]: Simplify 1 into 1 13.484 * [backup-simplify]: Simplify (/ 1 1) into 1 13.484 * [taylor]: Taking taylor expansion of (/ -1 l) in n 13.484 * [taylor]: Taking taylor expansion of -1 in n 13.484 * [backup-simplify]: Simplify -1 into -1 13.484 * [taylor]: Taking taylor expansion of l in n 13.484 * [backup-simplify]: Simplify l into l 13.484 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 13.484 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n 13.484 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 13.484 * [taylor]: Taking taylor expansion of (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) in m 13.484 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 13.484 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.484 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 13.484 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.485 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.485 * [taylor]: Taking taylor expansion of M in m 13.485 * [backup-simplify]: Simplify M into M 13.485 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.485 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.485 * [taylor]: Taking taylor expansion of 1/2 in m 13.485 * [backup-simplify]: Simplify 1/2 into 1/2 13.485 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.485 * [taylor]: Taking taylor expansion of m in m 13.485 * [backup-simplify]: Simplify 0 into 0 13.485 * [backup-simplify]: Simplify 1 into 1 13.485 * [backup-simplify]: Simplify (/ 1 1) into 1 13.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.485 * [taylor]: Taking taylor expansion of 1/2 in m 13.485 * [backup-simplify]: Simplify 1/2 into 1/2 13.485 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.485 * [taylor]: Taking taylor expansion of n in m 13.485 * [backup-simplify]: Simplify n into n 13.485 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.485 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.486 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.486 * [taylor]: Taking taylor expansion of M in m 13.486 * [backup-simplify]: Simplify M into M 13.486 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.486 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.486 * [taylor]: Taking taylor expansion of 1/2 in m 13.486 * [backup-simplify]: Simplify 1/2 into 1/2 13.486 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.486 * [taylor]: Taking taylor expansion of m in m 13.486 * [backup-simplify]: Simplify 0 into 0 13.486 * [backup-simplify]: Simplify 1 into 1 13.486 * [backup-simplify]: Simplify (/ 1 1) into 1 13.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.486 * [taylor]: Taking taylor expansion of 1/2 in m 13.486 * [backup-simplify]: Simplify 1/2 into 1/2 13.486 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.486 * [taylor]: Taking taylor expansion of n in m 13.486 * [backup-simplify]: Simplify n into n 13.486 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.486 * [taylor]: Taking taylor expansion of (/ -1 l) in m 13.487 * [taylor]: Taking taylor expansion of -1 in m 13.487 * [backup-simplify]: Simplify -1 into -1 13.487 * [taylor]: Taking taylor expansion of l in m 13.487 * [backup-simplify]: Simplify l into l 13.487 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 13.487 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in m 13.487 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 13.487 * [taylor]: Taking taylor expansion of (- (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) (fabs (- (/ 1 n) (/ 1 m)))) in m 13.487 * [taylor]: Taking taylor expansion of (fma (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (/ -1 l)) in m 13.487 * [taylor]: Rewrote expression to (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) (/ -1 l)) 13.487 * [taylor]: Taking taylor expansion of (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) in m 13.487 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.487 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.487 * [taylor]: Taking taylor expansion of M in m 13.487 * [backup-simplify]: Simplify M into M 13.487 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.487 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.487 * [taylor]: Taking taylor expansion of 1/2 in m 13.487 * [backup-simplify]: Simplify 1/2 into 1/2 13.487 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.487 * [taylor]: Taking taylor expansion of m in m 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [backup-simplify]: Simplify 1 into 1 13.488 * [backup-simplify]: Simplify (/ 1 1) into 1 13.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.488 * [taylor]: Taking taylor expansion of 1/2 in m 13.488 * [backup-simplify]: Simplify 1/2 into 1/2 13.488 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.488 * [taylor]: Taking taylor expansion of n in m 13.488 * [backup-simplify]: Simplify n into n 13.488 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.488 * [taylor]: Taking taylor expansion of (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) in m 13.488 * [taylor]: Taking taylor expansion of (/ 1 M) in m 13.488 * [taylor]: Taking taylor expansion of M in m 13.488 * [backup-simplify]: Simplify M into M 13.488 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.488 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) in m 13.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 m)) in m 13.488 * [taylor]: Taking taylor expansion of 1/2 in m 13.489 * [backup-simplify]: Simplify 1/2 into 1/2 13.489 * [taylor]: Taking taylor expansion of (/ 1 m) in m 13.489 * [taylor]: Taking taylor expansion of m in m 13.489 * [backup-simplify]: Simplify 0 into 0 13.489 * [backup-simplify]: Simplify 1 into 1 13.489 * [backup-simplify]: Simplify (/ 1 1) into 1 13.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in m 13.489 * [taylor]: Taking taylor expansion of 1/2 in m 13.489 * [backup-simplify]: Simplify 1/2 into 1/2 13.489 * [taylor]: Taking taylor expansion of (/ 1 n) in m 13.489 * [taylor]: Taking taylor expansion of n in m 13.489 * [backup-simplify]: Simplify n into n 13.489 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.489 * [taylor]: Taking taylor expansion of (/ -1 l) in m 13.489 * [taylor]: Taking taylor expansion of -1 in m 13.490 * [backup-simplify]: Simplify -1 into -1 13.490 * [taylor]: Taking taylor expansion of l in m 13.490 * [backup-simplify]: Simplify l into l 13.490 * [backup-simplify]: Simplify (/ -1 l) into (/ -1 l) 13.490 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in m 13.490 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 13.490 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.491 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.491 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.492 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.492 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.493 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.493 * [backup-simplify]: Simplify (- 1/2) into -1/2 13.494 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 13.494 * [backup-simplify]: Simplify (* -1/2 -1/2) into 1/4 13.494 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.495 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.495 * [taylor]: Taking taylor expansion of 1/4 in n 13.495 * [backup-simplify]: Simplify 1/4 into 1/4 13.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.497 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.497 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.497 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 13.497 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 13.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.499 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 13.499 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 13.499 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 n))) into (- (* 1/2 (/ 1 n))) 13.499 * [backup-simplify]: Simplify (+ (/ 1 M) (- (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) 13.499 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* (- (/ 1 M) (* 1/2 (/ 1 n))) -1/2)) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.499 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.500 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) into (- (* 1/2 (/ 1 n)) (/ 1 M)) 13.500 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n 13.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 n)) in n 13.500 * [taylor]: Taking taylor expansion of 1/2 in n 13.500 * [backup-simplify]: Simplify 1/2 into 1/2 13.500 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.500 * [taylor]: Taking taylor expansion of n in n 13.500 * [backup-simplify]: Simplify 0 into 0 13.500 * [backup-simplify]: Simplify 1 into 1 13.500 * [backup-simplify]: Simplify (/ 1 1) into 1 13.500 * [taylor]: Taking taylor expansion of (/ 1 M) in n 13.500 * [taylor]: Taking taylor expansion of M in n 13.500 * [backup-simplify]: Simplify M into M 13.500 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.504 * [backup-simplify]: Simplify (+ 0 0) into 0 13.504 * [backup-simplify]: Simplify (- 0) into 0 13.504 * [backup-simplify]: Simplify (+ 0 0) into 0 13.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 13.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 13.507 * [backup-simplify]: Simplify (+ 0 0) into 0 13.508 * [backup-simplify]: Simplify (- 0) into 0 13.508 * [backup-simplify]: Simplify (+ 0 0) into 0 13.509 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) 13.509 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) (/ -1 l)) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) 13.509 * [backup-simplify]: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) 13.509 * [backup-simplify]: Simplify (+ (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (/ 1 l))) (- (fabs (- (/ 1 n) (/ 1 m))))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)))) 13.509 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)))) in n 13.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n 13.509 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in n 13.509 * [taylor]: Taking taylor expansion of (pow M 2) in n 13.510 * [taylor]: Taking taylor expansion of M in n 13.510 * [backup-simplify]: Simplify M into M 13.510 * [backup-simplify]: Simplify (* M M) into (pow M 2) 13.510 * [backup-simplify]: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) 13.510 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n 13.510 * [taylor]: Taking taylor expansion of 1/4 in n 13.510 * [backup-simplify]: Simplify 1/4 into 1/4 13.510 * [taylor]: Taking taylor expansion of (/ 1 (pow n 2)) in n 13.510 * [taylor]: Taking taylor expansion of (pow n 2) in n 13.510 * [taylor]: Taking taylor expansion of n in n 13.510 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify 1 into 1 13.510 * [backup-simplify]: Simplify (* 1 1) into 1 13.510 * [backup-simplify]: Simplify (/ 1 1) into 1 13.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) in n 13.510 * [taylor]: Taking taylor expansion of (/ 1 (* M n)) in n 13.510 * [taylor]: Taking taylor expansion of (* M n) in n 13.510 * [taylor]: Taking taylor expansion of M in n 13.510 * [backup-simplify]: Simplify M into M 13.510 * [taylor]: Taking taylor expansion of n in n 13.510 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify 1 into 1 13.510 * [backup-simplify]: Simplify (* M 0) into 0 13.511 * [backup-simplify]: Simplify (+ (* M 1) (* 0 0)) into M 13.511 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 13.511 * [taylor]: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) in n 13.511 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n 13.511 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 13.511 * [taylor]: Taking taylor expansion of (/ 1 l) in n 13.511 * [taylor]: Taking taylor expansion of l in n 13.511 * [backup-simplify]: Simplify l into l 13.511 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.511 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 13.511 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 13.512 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4 13.512 * [taylor]: Taking taylor expansion of 1/4 in M 13.512 * [backup-simplify]: Simplify 1/4 into 1/4 13.512 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 13.512 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 13.512 * [taylor]: Taking taylor expansion of 1/2 in M 13.512 * [backup-simplify]: Simplify 1/2 into 1/2 13.512 * [taylor]: Taking taylor expansion of 1/4 in M 13.512 * [backup-simplify]: Simplify 1/4 into 1/4 13.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.515 * [backup-simplify]: Simplify (+ 0 0) into 0 13.515 * [backup-simplify]: Simplify (- 0) into 0 13.515 * [backup-simplify]: Simplify (+ 0 0) into 0 13.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 13.517 * [backup-simplify]: Simplify (+ 0 0) into 0 13.518 * [backup-simplify]: Simplify (- 0) into 0 13.518 * [backup-simplify]: Simplify (+ 0 0) into 0 13.519 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))) into 0 13.519 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)))) into 0 13.519 * [backup-simplify]: Simplify (+ 0 0) into 0 13.519 * [backup-simplify]: Simplify (- 0) into 0 13.519 * [backup-simplify]: Simplify (+ 0 0) into 0 13.520 * [taylor]: Taking taylor expansion of 0 in n 13.520 * [backup-simplify]: Simplify 0 into 0 13.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.521 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 13.521 * [backup-simplify]: Simplify (+ 0 0) into 0 13.521 * [backup-simplify]: Simplify (+ (/ 1 M) 0) into (/ 1 M) 13.521 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.521 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.521 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.521 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.521 * [taylor]: Taking taylor expansion of M in M 13.521 * [backup-simplify]: Simplify 0 into 0 13.521 * [backup-simplify]: Simplify 1 into 1 13.522 * [backup-simplify]: Simplify (/ 1 1) into 1 13.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.522 * [backup-simplify]: Simplify (- (/ 1 M)) into (- (/ 1 M)) 13.523 * [backup-simplify]: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) 13.523 * [taylor]: Taking taylor expansion of (- (/ 1 M)) in M 13.523 * [taylor]: Taking taylor expansion of (/ 1 M) in M 13.523 * [taylor]: Taking taylor expansion of M in M 13.523 * [backup-simplify]: Simplify 0 into 0 13.523 * [backup-simplify]: Simplify 1 into 1 13.523 * [backup-simplify]: Simplify (/ 1 1) into 1 13.523 * [taylor]: Taking taylor expansion of 0 in M 13.523 * [backup-simplify]: Simplify 0 into 0 13.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.525 * [backup-simplify]: Simplify (+ 0 0) into 0 13.526 * [backup-simplify]: Simplify (- 0) into 0 13.526 * [backup-simplify]: Simplify (+ 0 0) into 0 13.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 13.528 * [backup-simplify]: Simplify (+ 0 0) into 0 13.529 * [backup-simplify]: Simplify (- 0) into 0 13.529 * [backup-simplify]: Simplify (+ 0 0) into 0 13.530 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2))))) into 0 13.530 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 13.530 * [backup-simplify]: Simplify (+ 0 0) into 0 13.530 * [backup-simplify]: Simplify (- 0) into 0 13.531 * [backup-simplify]: Simplify (+ 0 0) into 0 13.531 * [taylor]: Taking taylor expansion of 0 in n 13.531 * [backup-simplify]: Simplify 0 into 0 13.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.532 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 13.532 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) 13.533 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 13.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.533 * [backup-simplify]: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) into (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) 13.533 * [backup-simplify]: Simplify (+ 0 (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) into (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) 13.533 * [backup-simplify]: Simplify (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) 13.533 * [backup-simplify]: Simplify (+ (/ 1 (pow M 2)) (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)))) into (- (/ 1 (pow M 2)) (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) 13.533 * [taylor]: Taking taylor expansion of (- (/ 1 (pow M 2)) (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) in M 13.533 * [taylor]: Taking taylor expansion of (/ 1 (pow M 2)) in M 13.533 * [taylor]: Taking taylor expansion of (pow M 2) in M 13.533 * [taylor]: Taking taylor expansion of M in M 13.533 * [backup-simplify]: Simplify 0 into 0 13.533 * [backup-simplify]: Simplify 1 into 1 13.534 * [backup-simplify]: Simplify (* 1 1) into 1 13.534 * [backup-simplify]: Simplify (/ 1 1) into 1 13.534 * [taylor]: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) in M 13.534 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in M 13.534 * [backup-simplify]: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) 13.534 * [taylor]: Taking taylor expansion of (/ 1 l) in M 13.534 * [taylor]: Taking taylor expansion of l in M 13.534 * [backup-simplify]: Simplify l into l 13.534 * [backup-simplify]: Simplify (/ 1 l) into (/ 1 l) 13.534 * [backup-simplify]: Simplify (+ 1 0) into 1 13.534 * [taylor]: Taking taylor expansion of 1 in l 13.534 * [backup-simplify]: Simplify 1 into 1 13.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 13.536 * [backup-simplify]: Simplify (- 0) into 0 13.537 * [backup-simplify]: Simplify (+ 0 0) into 0 13.537 * [taylor]: Taking taylor expansion of 0 in M 13.537 * [backup-simplify]: Simplify 0 into 0 13.537 * [taylor]: Taking taylor expansion of 0 in M 13.537 * [backup-simplify]: Simplify 0 into 0 13.537 * [backup-simplify]: Simplify (- 1) into -1 13.537 * [taylor]: Taking taylor expansion of -1 in l 13.537 * [backup-simplify]: Simplify -1 into -1 13.538 * [backup-simplify]: Simplify (- 1) into -1 13.538 * [taylor]: Taking taylor expansion of -1 in l 13.538 * [backup-simplify]: Simplify -1 into -1 13.538 * [taylor]: Taking taylor expansion of 1/4 in l 13.538 * [backup-simplify]: Simplify 1/4 into 1/4 13.538 * [taylor]: Taking taylor expansion of 1/2 in l 13.538 * [backup-simplify]: Simplify 1/2 into 1/2 13.538 * [taylor]: Taking taylor expansion of 1/4 in l 13.538 * [backup-simplify]: Simplify 1/4 into 1/4 13.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.541 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 13.543 * [backup-simplify]: Simplify (+ 0 0) into 0 13.543 * [backup-simplify]: Simplify (- 0) into 0 13.544 * [backup-simplify]: Simplify (+ 0 0) into 0 13.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 13.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 13.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n)))))) into 0 13.548 * [backup-simplify]: Simplify (+ 0 0) into 0 13.549 * [backup-simplify]: Simplify (- 0) into 0 13.549 * [backup-simplify]: Simplify (+ 0 0) into 0 13.551 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))))) into 0 13.551 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ -1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 13.552 * [backup-simplify]: Simplify (+ 0 0) into 0 13.552 * [backup-simplify]: Simplify (- 0) into 0 13.552 * [backup-simplify]: Simplify (+ 0 0) into 0 13.552 * [taylor]: Taking taylor expansion of 0 in n 13.552 * [backup-simplify]: Simplify 0 into 0 13.552 * [taylor]: Taking taylor expansion of 0 in M 13.552 * [backup-simplify]: Simplify 0 into 0 13.553 * [backup-simplify]: Simplify (+ (* M 0) (* 0 M)) into 0 13.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 13.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.556 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.556 * [backup-simplify]: Simplify (+ 0 0) into 0 13.557 * [backup-simplify]: Simplify (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 13.557 * [backup-simplify]: Simplify (+ 0 0) into 0 13.558 * [backup-simplify]: Simplify (+ 0 0) into 0 13.558 * [backup-simplify]: Simplify (- 0) into 0 13.559 * [backup-simplify]: Simplify (+ 0 0) into 0 13.559 * [taylor]: Taking taylor expansion of 0 in M 13.559 * [backup-simplify]: Simplify 0 into 0 13.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 13.561 * [backup-simplify]: Simplify (- 0) into 0 13.562 * [backup-simplify]: Simplify (+ 0 0) into 0 13.562 * [taylor]: Taking taylor expansion of 0 in M 13.562 * [backup-simplify]: Simplify 0 into 0 13.562 * [taylor]: Taking taylor expansion of 0 in M 13.562 * [backup-simplify]: Simplify 0 into 0 13.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.563 * [backup-simplify]: Simplify (+ 0 0) into 0 13.564 * [taylor]: Taking taylor expansion of 0 in l 13.564 * [backup-simplify]: Simplify 0 into 0 13.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.565 * [backup-simplify]: Simplify (- 0) into 0 13.565 * [taylor]: Taking taylor expansion of 0 in l 13.565 * [backup-simplify]: Simplify 0 into 0 13.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.566 * [backup-simplify]: Simplify (- 0) into 0 13.566 * [taylor]: Taking taylor expansion of 0 in l 13.566 * [backup-simplify]: Simplify 0 into 0 13.566 * [taylor]: Taking taylor expansion of 0 in l 13.566 * [backup-simplify]: Simplify 0 into 0 13.566 * [taylor]: Taking taylor expansion of 0 in l 13.566 * [backup-simplify]: Simplify 0 into 0 13.566 * [taylor]: Taking taylor expansion of 0 in l 13.566 * [backup-simplify]: Simplify 0 into 0 13.566 * [taylor]: Taking taylor expansion of 0 in l 13.566 * [backup-simplify]: Simplify 0 into 0 13.566 * [backup-simplify]: Simplify 1 into 1 13.566 * [backup-simplify]: Simplify -1 into -1 13.566 * [backup-simplify]: Simplify -1 into -1 13.567 * [backup-simplify]: Simplify (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m))))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1)))) (* 1 (pow (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) 13.568 * * * [progress]: simplifying candidates 13.568 * * * * [progress]: [ 1 / 47 ] simplifiying candidate # 13.568 * * * * [progress]: [ 2 / 47 ] simplifiying candidate # 13.568 * * * * [progress]: [ 3 / 47 ] simplifiying candidate # 13.568 * * * * [progress]: [ 4 / 47 ] simplifiying candidate # 13.568 * * * * [progress]: [ 5 / 47 ] simplifiying candidate # 13.568 * * * * [progress]: [ 6 / 47 ] simplifiying candidate # 13.568 * * * * [progress]: [ 7 / 47 ] simplifiying candidate # 13.568 * * * * [progress]: [ 8 / 47 ] simplifiying candidate # 13.568 * * * * [progress]: [ 9 / 47 ] simplifiying candidate # 13.568 * * * * [progress]: [ 10 / 47 ] simplifiying candidate # 13.568 * * * * [progress]: [ 11 / 47 ] simplifiying candidate #real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (fabs (- m n))))))> 13.568 * * * * [progress]: [ 12 / 47 ] simplifiying candidate # 13.569 * [simplify]: Simplifying (fma (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n))))))) 13.569 * * [simplify]: iters left: 6 (18 enodes) 13.578 * * [simplify]: iters left: 5 (70 enodes) 13.600 * * [simplify]: iters left: 4 (104 enodes) 13.639 * * [simplify]: iters left: 3 (164 enodes) 13.682 * * [simplify]: iters left: 2 (340 enodes) 13.796 * * [simplify]: Extracting #0: cost 1 inf + 0 13.796 * * [simplify]: Extracting #1: cost 50 inf + 0 13.797 * * [simplify]: Extracting #2: cost 127 inf + 1 13.798 * * [simplify]: Extracting #3: cost 184 inf + 45 13.802 * * [simplify]: Extracting #4: cost 138 inf + 7187 13.817 * * [simplify]: Extracting #5: cost 37 inf + 29043 13.836 * * [simplify]: Extracting #6: cost 6 inf + 42496 13.860 * * [simplify]: Extracting #7: cost 0 inf + 45738 13.876 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 13.876 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) (fma (- (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))))))))) 13.877 * [simplify]: Simplifying (fma (- (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))))) 13.877 * * [simplify]: iters left: 6 (9 enodes) 13.878 * * [simplify]: iters left: 5 (34 enodes) 13.884 * * [simplify]: iters left: 4 (53 enodes) 13.894 * * [simplify]: iters left: 3 (94 enodes) 13.911 * * [simplify]: iters left: 2 (144 enodes) 13.936 * * [simplify]: iters left: 1 (212 enodes) 13.991 * * [simplify]: Extracting #0: cost 1 inf + 0 13.991 * * [simplify]: Extracting #1: cost 0 inf + 1 13.991 * [simplify]: Simplified to 0 13.991 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 0)))) 13.991 * * * * [progress]: [ 13 / 47 ] simplifiying candidate # 13.992 * [simplify]: Simplifying (fma (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n)))))) 13.992 * * [simplify]: iters left: 6 (17 enodes) 13.995 * * [simplify]: iters left: 5 (61 enodes) 14.004 * * [simplify]: iters left: 4 (84 enodes) 14.022 * * [simplify]: iters left: 3 (129 enodes) 14.069 * * [simplify]: iters left: 2 (270 enodes) 14.137 * * [simplify]: Extracting #0: cost 1 inf + 0 14.137 * * [simplify]: Extracting #1: cost 48 inf + 0 14.137 * * [simplify]: Extracting #2: cost 115 inf + 1 14.138 * * [simplify]: Extracting #3: cost 154 inf + 45 14.139 * * [simplify]: Extracting #4: cost 142 inf + 2023 14.143 * * [simplify]: Extracting #5: cost 42 inf + 20612 14.157 * * [simplify]: Extracting #6: cost 4 inf + 30742 14.167 * * [simplify]: Extracting #7: cost 0 inf + 32582 14.175 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 14.175 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) (fma (- (sqrt (fabs (- m n)))) (sqrt (fabs (- m n))) (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n))))))))) 14.176 * [simplify]: Simplifying (fma (- (sqrt (fabs (- m n)))) (sqrt (fabs (- m n))) (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n))))) 14.176 * * [simplify]: iters left: 6 (8 enodes) 14.177 * * [simplify]: iters left: 5 (26 enodes) 14.181 * * [simplify]: iters left: 4 (37 enodes) 14.186 * * [simplify]: iters left: 3 (45 enodes) 14.192 * * [simplify]: iters left: 2 (47 enodes) 14.198 * * [simplify]: Extracting #0: cost 1 inf + 0 14.198 * * [simplify]: Extracting #1: cost 0 inf + 1 14.198 * [simplify]: Simplified to 0 14.198 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 0)))) 14.198 * * * * [progress]: [ 14 / 47 ] simplifiying candidate # 14.199 * [simplify]: Simplifying (fma (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (* (fabs (- m n)) 1))) 14.199 * * [simplify]: iters left: 6 (17 enodes) 14.208 * * [simplify]: iters left: 5 (66 enodes) 14.232 * * [simplify]: iters left: 4 (94 enodes) 14.249 * * [simplify]: iters left: 3 (145 enodes) 14.273 * * [simplify]: iters left: 2 (285 enodes) 14.355 * * [simplify]: Extracting #0: cost 1 inf + 0 14.355 * * [simplify]: Extracting #1: cost 46 inf + 0 14.356 * * [simplify]: Extracting #2: cost 107 inf + 3 14.357 * * [simplify]: Extracting #3: cost 145 inf + 47 14.359 * * [simplify]: Extracting #4: cost 127 inf + 2344 14.368 * * [simplify]: Extracting #5: cost 35 inf + 20246 14.384 * * [simplify]: Extracting #6: cost 1 inf + 29168 14.396 * * [simplify]: Extracting #7: cost 0 inf + 29624 14.407 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 14.407 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) (fma (- (fabs (- m n))) 1 (* (fabs (- m n)) 1)))))) 14.408 * [simplify]: Simplifying (fma (- (fabs (- m n))) 1 (* (fabs (- m n)) 1)) 14.408 * * [simplify]: iters left: 6 (8 enodes) 14.410 * * [simplify]: iters left: 5 (29 enodes) 14.415 * * [simplify]: iters left: 4 (42 enodes) 14.422 * * [simplify]: iters left: 3 (46 enodes) 14.433 * * [simplify]: iters left: 2 (53 enodes) 14.445 * * [simplify]: iters left: 1 (55 enodes) 14.451 * * [simplify]: Extracting #0: cost 1 inf + 0 14.451 * * [simplify]: Extracting #1: cost 0 inf + 1 14.451 * [simplify]: Simplified to 0 14.451 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 0)))) 14.451 * * * * [progress]: [ 15 / 47 ] simplifiying candidate # 14.451 * [simplify]: Simplifying (fma (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n))))))) 14.451 * * [simplify]: iters left: 6 (17 enodes) 14.455 * * [simplify]: iters left: 5 (67 enodes) 14.466 * * [simplify]: iters left: 4 (97 enodes) 14.486 * * [simplify]: iters left: 3 (163 enodes) 14.530 * * [simplify]: iters left: 2 (378 enodes) 14.688 * * [simplify]: Extracting #0: cost 1 inf + 0 14.689 * * [simplify]: Extracting #1: cost 79 inf + 0 14.689 * * [simplify]: Extracting #2: cost 204 inf + 43 14.691 * * [simplify]: Extracting #3: cost 227 inf + 471 14.697 * * [simplify]: Extracting #4: cost 171 inf + 9600 14.706 * * [simplify]: Extracting #5: cost 57 inf + 37935 14.728 * * [simplify]: Extracting #6: cost 11 inf + 59355 14.743 * * [simplify]: Extracting #7: cost 0 inf + 65888 14.758 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 14.758 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) (fma (- (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))))))))) 14.759 * [simplify]: Simplifying (fma (- (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))))) 14.759 * * [simplify]: iters left: 6 (9 enodes) 14.762 * * [simplify]: iters left: 5 (34 enodes) 14.774 * * [simplify]: iters left: 4 (53 enodes) 14.791 * * [simplify]: iters left: 3 (94 enodes) 14.810 * * [simplify]: iters left: 2 (144 enodes) 14.833 * * [simplify]: iters left: 1 (212 enodes) 14.879 * * [simplify]: Extracting #0: cost 1 inf + 0 14.879 * * [simplify]: Extracting #1: cost 0 inf + 1 14.879 * [simplify]: Simplified to 0 14.879 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 0)))) 14.880 * * * * [progress]: [ 16 / 47 ] simplifiying candidate # 14.880 * [simplify]: Simplifying (fma (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n)))))) 14.880 * * [simplify]: iters left: 6 (16 enodes) 14.888 * * [simplify]: iters left: 5 (58 enodes) 14.905 * * [simplify]: iters left: 4 (77 enodes) 14.930 * * [simplify]: iters left: 3 (129 enodes) 14.955 * * [simplify]: iters left: 2 (304 enodes) 15.076 * * [simplify]: Extracting #0: cost 1 inf + 0 15.076 * * [simplify]: Extracting #1: cost 74 inf + 0 15.082 * * [simplify]: Extracting #2: cost 181 inf + 43 15.085 * * [simplify]: Extracting #3: cost 201 inf + 427 15.089 * * [simplify]: Extracting #4: cost 154 inf + 7602 15.109 * * [simplify]: Extracting #5: cost 30 inf + 38086 15.135 * * [simplify]: Extracting #6: cost 0 inf + 47144 15.161 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 15.161 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) (fma (- (sqrt (fabs (- m n)))) (sqrt (fabs (- m n))) (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n))))))))) 15.161 * [simplify]: Simplifying (fma (- (sqrt (fabs (- m n)))) (sqrt (fabs (- m n))) (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n))))) 15.161 * * [simplify]: iters left: 6 (8 enodes) 15.163 * * [simplify]: iters left: 5 (26 enodes) 15.167 * * [simplify]: iters left: 4 (37 enodes) 15.172 * * [simplify]: iters left: 3 (45 enodes) 15.178 * * [simplify]: iters left: 2 (47 enodes) 15.183 * * [simplify]: Extracting #0: cost 1 inf + 0 15.183 * * [simplify]: Extracting #1: cost 0 inf + 1 15.183 * [simplify]: Simplified to 0 15.183 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 0)))) 15.183 * * * * [progress]: [ 17 / 47 ] simplifiying candidate # 15.184 * [simplify]: Simplifying (fma (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (* (fabs (- m n)) 1))) 15.184 * * [simplify]: iters left: 6 (16 enodes) 15.188 * * [simplify]: iters left: 5 (63 enodes) 15.201 * * [simplify]: iters left: 4 (87 enodes) 15.226 * * [simplify]: iters left: 3 (140 enodes) 15.254 * * [simplify]: iters left: 2 (305 enodes) 15.394 * * [simplify]: Extracting #0: cost 1 inf + 0 15.395 * * [simplify]: Extracting #1: cost 63 inf + 0 15.396 * * [simplify]: Extracting #2: cost 155 inf + 4 15.398 * * [simplify]: Extracting #3: cost 172 inf + 671 15.402 * * [simplify]: Extracting #4: cost 123 inf + 8257 15.425 * * [simplify]: Extracting #5: cost 11 inf + 35424 15.449 * * [simplify]: Extracting #6: cost 0 inf + 38801 15.471 * * [simplify]: Extracting #7: cost 0 inf + 38771 15.491 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 15.491 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) (fma (- (fabs (- m n))) 1 (* (fabs (- m n)) 1)))))) 15.491 * [simplify]: Simplifying (fma (- (fabs (- m n))) 1 (* (fabs (- m n)) 1)) 15.491 * * [simplify]: iters left: 6 (8 enodes) 15.494 * * [simplify]: iters left: 5 (29 enodes) 15.499 * * [simplify]: iters left: 4 (42 enodes) 15.505 * * [simplify]: iters left: 3 (46 enodes) 15.512 * * [simplify]: iters left: 2 (53 enodes) 15.519 * * [simplify]: iters left: 1 (55 enodes) 15.524 * * [simplify]: Extracting #0: cost 1 inf + 0 15.525 * * [simplify]: Extracting #1: cost 0 inf + 1 15.525 * [simplify]: Simplified to 0 15.525 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 0)))) 15.525 * * * * [progress]: [ 18 / 47 ] simplifiying candidate # 15.525 * [simplify]: Simplifying (fma 1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (- (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n))))))) 15.525 * * [simplify]: iters left: 6 (17 enodes) 15.534 * * [simplify]: iters left: 5 (69 enodes) 15.559 * * [simplify]: iters left: 4 (108 enodes) 15.586 * * [simplify]: iters left: 3 (192 enodes) 15.647 * * [simplify]: iters left: 2 (485 enodes) 15.931 * * [simplify]: Extracting #0: cost 1 inf + 0 15.932 * * [simplify]: Extracting #1: cost 80 inf + 0 15.934 * * [simplify]: Extracting #2: cost 223 inf + 44 15.937 * * [simplify]: Extracting #3: cost 240 inf + 978 15.943 * * [simplify]: Extracting #4: cost 182 inf + 11319 15.969 * * [simplify]: Extracting #5: cost 68 inf + 38512 15.998 * * [simplify]: Extracting #6: cost 12 inf + 58501 16.020 * * [simplify]: Extracting #7: cost 0 inf + 64954 16.038 * [simplify]: Simplified to (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 16.038 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) (fma (- (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))))))))) 16.038 * [simplify]: Simplifying (fma (- (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))) (* (cbrt (fabs (- m n))) (* (cbrt (fabs (- m n))) (cbrt (fabs (- m n)))))) 16.038 * * [simplify]: iters left: 6 (9 enodes) 16.041 * * [simplify]: iters left: 5 (34 enodes) 16.047 * * [simplify]: iters left: 4 (53 enodes) 16.065 * * [simplify]: iters left: 3 (94 enodes) 16.090 * * [simplify]: iters left: 2 (144 enodes) 16.118 * * [simplify]: iters left: 1 (212 enodes) 16.178 * * [simplify]: Extracting #0: cost 1 inf + 0 16.178 * * [simplify]: Extracting #1: cost 0 inf + 1 16.178 * [simplify]: Simplified to 0 16.178 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 0)))) 16.178 * * * * [progress]: [ 19 / 47 ] simplifiying candidate # 16.178 * [simplify]: Simplifying (fma 1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (- (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n)))))) 16.178 * * [simplify]: iters left: 6 (16 enodes) 16.182 * * [simplify]: iters left: 5 (60 enodes) 16.191 * * [simplify]: iters left: 4 (88 enodes) 16.227 * * [simplify]: iters left: 3 (158 enodes) 16.276 * * [simplify]: iters left: 2 (413 enodes) 16.531 * * [simplify]: Extracting #0: cost 1 inf + 0 16.532 * * [simplify]: Extracting #1: cost 72 inf + 0 16.533 * * [simplify]: Extracting #2: cost 198 inf + 44 16.534 * * [simplify]: Extracting #3: cost 210 inf + 918 16.541 * * [simplify]: Extracting #4: cost 157 inf + 10177 16.559 * * [simplify]: Extracting #5: cost 35 inf + 38678 16.591 * * [simplify]: Extracting #6: cost 1 inf + 48143 16.624 * * [simplify]: Extracting #7: cost 0 inf + 48563 16.656 * [simplify]: Simplified to (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 16.656 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) (fma (- (sqrt (fabs (- m n)))) (sqrt (fabs (- m n))) (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n))))))))) 16.657 * [simplify]: Simplifying (fma (- (sqrt (fabs (- m n)))) (sqrt (fabs (- m n))) (* (sqrt (fabs (- m n))) (sqrt (fabs (- m n))))) 16.657 * * [simplify]: iters left: 6 (8 enodes) 16.660 * * [simplify]: iters left: 5 (26 enodes) 16.668 * * [simplify]: iters left: 4 (37 enodes) 16.678 * * [simplify]: iters left: 3 (45 enodes) 16.692 * * [simplify]: iters left: 2 (47 enodes) 16.702 * * [simplify]: Extracting #0: cost 1 inf + 0 16.702 * * [simplify]: Extracting #1: cost 0 inf + 1 16.702 * [simplify]: Simplified to 0 16.702 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 0)))) 16.702 * * * * [progress]: [ 20 / 47 ] simplifiying candidate # 16.703 * [simplify]: Simplifying (fma 1 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (- (* (fabs (- m n)) 1))) 16.703 * * [simplify]: iters left: 6 (15 enodes) 16.711 * * [simplify]: iters left: 5 (60 enodes) 16.730 * * [simplify]: iters left: 4 (91 enodes) 16.762 * * [simplify]: iters left: 3 (163 enodes) 16.840 * * [simplify]: iters left: 2 (418 enodes) 17.064 * * [simplify]: Extracting #0: cost 1 inf + 0 17.064 * * [simplify]: Extracting #1: cost 58 inf + 0 17.065 * * [simplify]: Extracting #2: cost 165 inf + 45 17.068 * * [simplify]: Extracting #3: cost 188 inf + 714 17.072 * * [simplify]: Extracting #4: cost 137 inf + 8471 17.084 * * [simplify]: Extracting #5: cost 26 inf + 35292 17.099 * * [simplify]: Extracting #6: cost 0 inf + 42914 17.122 * * [simplify]: Extracting #7: cost 0 inf + 42854 17.137 * [simplify]: Simplified to (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 17.137 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) (fma (- (fabs (- m n))) 1 (* (fabs (- m n)) 1)))))) 17.137 * [simplify]: Simplifying (fma (- (fabs (- m n))) 1 (* (fabs (- m n)) 1)) 17.137 * * [simplify]: iters left: 6 (8 enodes) 17.143 * * [simplify]: iters left: 5 (29 enodes) 17.149 * * [simplify]: iters left: 4 (42 enodes) 17.155 * * [simplify]: iters left: 3 (46 enodes) 17.168 * * [simplify]: iters left: 2 (53 enodes) 17.181 * * [simplify]: iters left: 1 (55 enodes) 17.188 * * [simplify]: Extracting #0: cost 1 inf + 0 17.188 * * [simplify]: Extracting #1: cost 0 inf + 1 17.188 * [simplify]: Simplified to 0 17.188 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (+ (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 0)))) 17.188 * * * * [progress]: [ 21 / 47 ] simplifiying candidate # 17.188 * * * * [progress]: [ 22 / 47 ] simplifiying candidate # 17.188 * * * * [progress]: [ 23 / 47 ] simplifiying candidate # 17.188 * [simplify]: Simplifying (* (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) 17.188 * * [simplify]: iters left: 6 (11 enodes) 17.191 * * [simplify]: iters left: 5 (38 enodes) 17.196 * * [simplify]: iters left: 4 (50 enodes) 17.209 * * [simplify]: iters left: 3 (90 enodes) 17.234 * * [simplify]: iters left: 2 (226 enodes) 17.293 * * [simplify]: Extracting #0: cost 1 inf + 0 17.293 * * [simplify]: Extracting #1: cost 3 inf + 0 17.293 * * [simplify]: Extracting #2: cost 5 inf + 0 17.293 * * [simplify]: Extracting #3: cost 46 inf + 0 17.294 * * [simplify]: Extracting #4: cost 98 inf + 43 17.295 * * [simplify]: Extracting #5: cost 108 inf + 524 17.297 * * [simplify]: Extracting #6: cost 85 inf + 3456 17.304 * * [simplify]: Extracting #7: cost 17 inf + 16106 17.310 * * [simplify]: Extracting #8: cost 1 inf + 19985 17.317 * * [simplify]: Extracting #9: cost 0 inf + 20195 17.326 * [simplify]: Simplified to (* (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) 17.326 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (fma (* (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (cbrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (cbrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (fabs (- m n))))))) 17.326 * * * * [progress]: [ 24 / 47 ] simplifiying candidate # 17.326 * [simplify]: Simplifying (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) 17.326 * * [simplify]: iters left: 6 (10 enodes) 17.329 * * [simplify]: iters left: 5 (35 enodes) 17.334 * * [simplify]: iters left: 4 (47 enodes) 17.349 * * [simplify]: iters left: 3 (87 enodes) 17.376 * * [simplify]: iters left: 2 (221 enodes) 17.448 * * [simplify]: Extracting #0: cost 1 inf + 0 17.448 * * [simplify]: Extracting #1: cost 3 inf + 0 17.448 * * [simplify]: Extracting #2: cost 44 inf + 0 17.449 * * [simplify]: Extracting #3: cost 94 inf + 124 17.450 * * [simplify]: Extracting #4: cost 104 inf + 709 17.453 * * [simplify]: Extracting #5: cost 75 inf + 4510 17.463 * * [simplify]: Extracting #6: cost 13 inf + 16441 17.476 * * [simplify]: Extracting #7: cost 0 inf + 19539 17.489 * * [simplify]: Extracting #8: cost 0 inf + 19509 17.497 * [simplify]: Simplified to (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 17.497 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (fma (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (- (fabs (- m n))))))) 17.497 * * * * [progress]: [ 25 / 47 ] simplifiying candidate # 17.497 * * * * [progress]: [ 26 / 47 ] simplifiying candidate # 17.497 * [simplify]: Simplifying (/ (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (exp (fabs (- m n)))) 17.497 * * [simplify]: iters left: 6 (14 enodes) 17.501 * * [simplify]: iters left: 5 (51 enodes) 17.508 * * [simplify]: iters left: 4 (75 enodes) 17.522 * * [simplify]: iters left: 3 (151 enodes) 17.556 * * [simplify]: iters left: 2 (423 enodes) 17.750 * * [simplify]: Extracting #0: cost 1 inf + 0 17.751 * * [simplify]: Extracting #1: cost 42 inf + 0 17.751 * * [simplify]: Extracting #2: cost 179 inf + 0 17.754 * * [simplify]: Extracting #3: cost 304 inf + 187 17.756 * * [simplify]: Extracting #4: cost 316 inf + 1157 17.763 * * [simplify]: Extracting #5: cost 228 inf + 19060 17.797 * * [simplify]: Extracting #6: cost 20 inf + 83663 17.820 * * [simplify]: Extracting #7: cost 0 inf + 85020 17.857 * * [simplify]: Extracting #8: cost 0 inf + 84987 17.895 * [simplify]: Simplified to (exp (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n)))) 17.895 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (log (exp (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n)))))))) 17.896 * * * * [progress]: [ 27 / 47 ] simplifiying candidate # 17.896 * * * * [progress]: [ 28 / 47 ] simplifiying candidate # 17.896 * * * * [progress]: [ 29 / 47 ] simplifiying candidate # 17.896 * * * * [progress]: [ 30 / 47 ] simplifiying candidate # 17.896 * * * * [progress]: [ 31 / 47 ] simplifiying candidate # 17.896 * * * * [progress]: [ 32 / 47 ] simplifiying candidate # 17.896 * * * * [progress]: [ 33 / 47 ] simplifiying candidate # 17.896 * * * * [progress]: [ 34 / 47 ] simplifiying candidate # 17.896 * * * * [progress]: [ 35 / 47 ] simplifiying candidate # 17.896 * * * * [progress]: [ 36 / 47 ] simplifiying candidate # 17.896 * * * * [progress]: [ 37 / 47 ] simplifiying candidate # 17.896 * [simplify]: Simplifying (+ (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fabs (- m n)))) 17.896 * * [simplify]: iters left: 6 (14 enodes) 17.900 * * [simplify]: iters left: 5 (50 enodes) 17.907 * * [simplify]: iters left: 4 (65 enodes) 17.917 * * [simplify]: iters left: 3 (105 enodes) 17.953 * * [simplify]: iters left: 2 (239 enodes) 18.035 * * [simplify]: Extracting #0: cost 1 inf + 0 18.035 * * [simplify]: Extracting #1: cost 4 inf + 0 18.035 * * [simplify]: Extracting #2: cost 8 inf + 0 18.036 * * [simplify]: Extracting #3: cost 50 inf + 0 18.036 * * [simplify]: Extracting #4: cost 105 inf + 43 18.037 * * [simplify]: Extracting #5: cost 98 inf + 2461 18.040 * * [simplify]: Extracting #6: cost 25 inf + 15080 18.049 * * [simplify]: Extracting #7: cost 2 inf + 20410 18.059 * * [simplify]: Extracting #8: cost 0 inf + 20874 18.073 * [simplify]: Simplified to (+ (sqrt (fabs (- m n))) (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) 18.073 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (* (+ (sqrt (fabs (- m n))) (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (- (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fabs (- m n)))))))) 18.073 * [simplify]: Simplifying (- (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fabs (- m n)))) 18.074 * * [simplify]: iters left: 6 (14 enodes) 18.080 * * [simplify]: iters left: 5 (51 enodes) 18.095 * * [simplify]: iters left: 4 (69 enodes) 18.117 * * [simplify]: iters left: 3 (109 enodes) 18.155 * * [simplify]: iters left: 2 (244 enodes) 18.260 * * [simplify]: Extracting #0: cost 1 inf + 0 18.260 * * [simplify]: Extracting #1: cost 5 inf + 0 18.260 * * [simplify]: Extracting #2: cost 10 inf + 0 18.260 * * [simplify]: Extracting #3: cost 54 inf + 0 18.261 * * [simplify]: Extracting #4: cost 109 inf + 84 18.263 * * [simplify]: Extracting #5: cost 95 inf + 3975 18.274 * * [simplify]: Extracting #6: cost 10 inf + 19855 18.286 * * [simplify]: Extracting #7: cost 0 inf + 21583 18.293 * [simplify]: Simplified to (- (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (sqrt (fabs (- m n)))) 18.293 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (* (+ (sqrt (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (sqrt (fabs (- m n)))) (- (sqrt (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (sqrt (fabs (- m n)))))))) 18.293 * * * * [progress]: [ 38 / 47 ] simplifiying candidate # 18.293 * [simplify]: Simplifying (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))) 18.293 * * [simplify]: iters left: 6 (12 enodes) 18.296 * * [simplify]: iters left: 5 (45 enodes) 18.306 * * [simplify]: iters left: 4 (67 enodes) 18.322 * * [simplify]: iters left: 3 (127 enodes) 18.373 * * [simplify]: iters left: 2 (318 enodes) 18.488 * * [simplify]: Extracting #0: cost 1 inf + 0 18.488 * * [simplify]: Extracting #1: cost 69 inf + 0 18.489 * * [simplify]: Extracting #2: cost 182 inf + 141 18.491 * * [simplify]: Extracting #3: cost 198 inf + 767 18.497 * * [simplify]: Extracting #4: cost 129 inf + 13836 18.521 * * [simplify]: Extracting #5: cost 12 inf + 44486 18.551 * * [simplify]: Extracting #6: cost 0 inf + 48573 18.578 * [simplify]: Simplified to (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))) 18.578 * [simplify]: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (* 1 (- (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l) (fabs (- m n))))))) 18.578 * * * * [progress]: [ 39 / 47 ] simplifiying candidate # 18.578 * [simplify]: Simplifying (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) 18.578 * * [simplify]: iters left: 6 (8 enodes) 18.580 * * [simplify]: iters left: 5 (27 enodes) 18.584 * * [simplify]: iters left: 4 (36 enodes) 18.591 * * [simplify]: iters left: 3 (68 enodes) 18.609 * * [simplify]: iters left: 2 (164 enodes) 18.642 * * [simplify]: iters left: 1 (341 enodes) 18.759 * * [simplify]: Extracting #0: cost 1 inf + 0 18.759 * * [simplify]: Extracting #1: cost 33 inf + 0 18.760 * * [simplify]: Extracting #2: cost 92 inf + 1 18.761 * * [simplify]: Extracting #3: cost 112 inf + 1322 18.765 * * [simplify]: Extracting #4: cost 33 inf + 14411 18.771 * * [simplify]: Extracting #5: cost 0 inf + 20865 18.784 * [simplify]: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 18.785 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (+ (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- l (fabs (- m n))))))) 18.785 * * * * [progress]: [ 40 / 47 ] simplifiying candidate # 18.785 * * * * [progress]: [ 41 / 47 ] simplifiying candidate #real (real->posit16 (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))))> 18.785 * * * * [progress]: [ 42 / 47 ] simplifiying candidate # 18.785 * [simplify]: Simplifying (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow m 2)))) 18.785 * * [simplify]: iters left: 6 (12 enodes) 18.793 * * [simplify]: iters left: 5 (51 enodes) 18.807 * * [simplify]: iters left: 4 (82 enodes) 18.822 * * [simplify]: iters left: 3 (129 enodes) 18.845 * * [simplify]: iters left: 2 (151 enodes) 18.873 * * [simplify]: iters left: 1 (153 enodes) 18.886 * * [simplify]: Extracting #0: cost 1 inf + 0 18.887 * * [simplify]: Extracting #1: cost 18 inf + 0 18.887 * * [simplify]: Extracting #2: cost 24 inf + 47 18.887 * * [simplify]: Extracting #3: cost 11 inf + 729 18.888 * * [simplify]: Extracting #4: cost 2 inf + 1640 18.888 * * [simplify]: Extracting #5: cost 0 inf + 1934 18.889 * [simplify]: Simplified to (fma m (fma 1/4 m (* 1/2 n)) l) 18.889 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (- (fma m (fma 1/4 m (* 1/2 n)) l) (fabs (- m n)))))) 18.889 * * * * [progress]: [ 43 / 47 ] simplifiying candidate # 18.890 * [simplify]: Simplifying (- (pow M 2) (+ (* m M) (* M n))) 18.890 * * [simplify]: iters left: 6 (9 enodes) 18.893 * * [simplify]: iters left: 5 (40 enodes) 18.906 * * [simplify]: iters left: 4 (70 enodes) 18.926 * * [simplify]: iters left: 3 (126 enodes) 18.959 * * [simplify]: iters left: 2 (218 enodes) 19.021 * * [simplify]: iters left: 1 (305 enodes) 19.113 * * [simplify]: Extracting #0: cost 1 inf + 0 19.113 * * [simplify]: Extracting #1: cost 29 inf + 0 19.114 * * [simplify]: Extracting #2: cost 55 inf + 127 19.116 * * [simplify]: Extracting #3: cost 16 inf + 3248 19.120 * * [simplify]: Extracting #4: cost 0 inf + 4603 19.124 * [simplify]: Simplified to (* (- (- M n) m) M) 19.124 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (- (* (- (- M n) m) M) (fabs (- m n)))))) 19.124 * * * * [progress]: [ 44 / 47 ] simplifiying candidate # 19.124 * [simplify]: Simplifying (- (pow M 2) (+ (* m M) (* M n))) 19.124 * * [simplify]: iters left: 6 (9 enodes) 19.130 * * [simplify]: iters left: 5 (40 enodes) 19.143 * * [simplify]: iters left: 4 (70 enodes) 19.163 * * [simplify]: iters left: 3 (126 enodes) 19.188 * * [simplify]: iters left: 2 (218 enodes) 19.259 * * [simplify]: iters left: 1 (305 enodes) 19.355 * * [simplify]: Extracting #0: cost 1 inf + 0 19.355 * * [simplify]: Extracting #1: cost 29 inf + 0 19.355 * * [simplify]: Extracting #2: cost 55 inf + 127 19.356 * * [simplify]: Extracting #3: cost 16 inf + 3248 19.358 * * [simplify]: Extracting #4: cost 0 inf + 4603 19.360 * [simplify]: Simplified to (* (- (- M n) m) M) 19.361 * [simplify]: Simplified (2 2 1 1) to (λ (K m n M l) (/ 1 (exp (- (* (- (- M n) m) M) (fabs (- m n)))))) 19.361 * * * * [progress]: [ 45 / 47 ] simplifiying candidate # 19.361 * [simplify]: Simplifying (- (+ l (* 1/4 (pow m 2))) (fabs (- m n))) 19.361 * * [simplify]: iters left: 6 (11 enodes) 19.364 * * [simplify]: iters left: 5 (46 enodes) 19.372 * * [simplify]: iters left: 4 (73 enodes) 19.398 * * [simplify]: iters left: 3 (100 enodes) 19.423 * * [simplify]: iters left: 2 (109 enodes) 19.447 * * [simplify]: iters left: 1 (120 enodes) 19.473 * * [simplify]: Extracting #0: cost 1 inf + 0 19.474 * * [simplify]: Extracting #1: cost 18 inf + 0 19.474 * * [simplify]: Extracting #2: cost 26 inf + 168 19.474 * * [simplify]: Extracting #3: cost 20 inf + 856 19.474 * * [simplify]: Extracting #4: cost 15 inf + 1105 19.475 * * [simplify]: Extracting #5: cost 1 inf + 3214 19.476 * * [simplify]: Extracting #6: cost 0 inf + 3417 19.477 * [simplify]: Simplified to (- (fma 1/4 (* m m) l) (fabs (- m n))) 19.477 * [simplify]: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (exp (- (fma 1/4 (* m m) l) (fabs (- m n)))))) 19.477 * * * * [progress]: [ 46 / 47 ] simplifiying candidate # 19.477 * [simplify]: Simplifying (- (pow M 2) (+ (* m M) (* M n))) 19.477 * * [simplify]: iters left: 6 (9 enodes) 19.480 * * [simplify]: iters left: 5 (40 enodes) 19.487 * * [simplify]: iters left: 4 (70 enodes) 19.504 * * [simplify]: iters left: 3 (126 enodes) 19.536 * * [simplify]: iters left: 2 (218 enodes) 19.605 * * [simplify]: iters left: 1 (305 enodes) 19.677 * * [simplify]: Extracting #0: cost 1 inf + 0 19.677 * * [simplify]: Extracting #1: cost 29 inf + 0 19.678 * * [simplify]: Extracting #2: cost 55 inf + 127 19.679 * * [simplify]: Extracting #3: cost 16 inf + 3248 19.681 * * [simplify]: Extracting #4: cost 0 inf + 4603 19.683 * [simplify]: Simplified to (* (- (- M n) m) M) 19.683 * [simplify]: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (exp (* (- (- M n) m) M)))) 19.683 * * * * [progress]: [ 47 / 47 ] simplifiying candidate # 19.683 * [simplify]: Simplifying (- (pow M 2) (+ (* m M) (* M n))) 19.683 * * [simplify]: iters left: 6 (9 enodes) 19.688 * * [simplify]: iters left: 5 (40 enodes) 19.702 * * [simplify]: iters left: 4 (70 enodes) 19.724 * * [simplify]: iters left: 3 (126 enodes) 19.755 * * [simplify]: iters left: 2 (218 enodes) 19.813 * * [simplify]: iters left: 1 (305 enodes) 19.885 * * [simplify]: Extracting #0: cost 1 inf + 0 19.886 * * [simplify]: Extracting #1: cost 29 inf + 0 19.886 * * [simplify]: Extracting #2: cost 55 inf + 127 19.889 * * [simplify]: Extracting #3: cost 16 inf + 3248 19.892 * * [simplify]: Extracting #4: cost 0 inf + 4603 19.896 * [simplify]: Simplified to (* (- (- M n) m) M) 19.896 * [simplify]: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (exp (* (- (- M n) m) M)))) 19.896 * * * [progress]: adding candidates to table 20.592 * * [progress]: iteration 3 / 4 20.592 * * * [progress]: picking best candidate 20.648 * * * * [pick]: Picked # 20.649 * * * [progress]: localizing error 20.779 * * * [progress]: generating rewritten candidates 20.779 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 20.792 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 20.806 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 20.839 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 20.863 * * * [progress]: generating series expansions 20.863 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 20.863 * [backup-simplify]: Simplify (cos (* m (/ K 2))) into (cos (* 1/2 (* m K))) 20.863 * [approximate]: Taking taylor expansion of (cos (* 1/2 (* m K))) in (m K) around 0 20.863 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* m K))) in K 20.863 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in K 20.863 * [taylor]: Taking taylor expansion of 1/2 in K 20.863 * [backup-simplify]: Simplify 1/2 into 1/2 20.863 * [taylor]: Taking taylor expansion of (* m K) in K 20.863 * [taylor]: Taking taylor expansion of m in K 20.863 * [backup-simplify]: Simplify m into m 20.863 * [taylor]: Taking taylor expansion of K in K 20.863 * [backup-simplify]: Simplify 0 into 0 20.863 * [backup-simplify]: Simplify 1 into 1 20.863 * [backup-simplify]: Simplify (* m 0) into 0 20.864 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.864 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 20.865 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 20.865 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* m K))) in m 20.865 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 20.865 * [taylor]: Taking taylor expansion of 1/2 in m 20.865 * [backup-simplify]: Simplify 1/2 into 1/2 20.865 * [taylor]: Taking taylor expansion of (* m K) in m 20.865 * [taylor]: Taking taylor expansion of m in m 20.865 * [backup-simplify]: Simplify 0 into 0 20.865 * [backup-simplify]: Simplify 1 into 1 20.865 * [taylor]: Taking taylor expansion of K in m 20.865 * [backup-simplify]: Simplify K into K 20.865 * [backup-simplify]: Simplify (* 0 K) into 0 20.865 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.865 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 20.866 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 20.866 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* m K))) in m 20.866 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 20.866 * [taylor]: Taking taylor expansion of 1/2 in m 20.866 * [backup-simplify]: Simplify 1/2 into 1/2 20.866 * [taylor]: Taking taylor expansion of (* m K) in m 20.866 * [taylor]: Taking taylor expansion of m in m 20.866 * [backup-simplify]: Simplify 0 into 0 20.866 * [backup-simplify]: Simplify 1 into 1 20.866 * [taylor]: Taking taylor expansion of K in m 20.866 * [backup-simplify]: Simplify K into K 20.866 * [backup-simplify]: Simplify (* 0 K) into 0 20.866 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.866 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 20.867 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 20.867 * [taylor]: Taking taylor expansion of 1 in K 20.867 * [backup-simplify]: Simplify 1 into 1 20.867 * [backup-simplify]: Simplify 1 into 1 20.867 * [backup-simplify]: Simplify (+ 0) into 0 20.867 * [taylor]: Taking taylor expansion of 0 in K 20.867 * [backup-simplify]: Simplify 0 into 0 20.867 * [backup-simplify]: Simplify 0 into 0 20.867 * [backup-simplify]: Simplify 0 into 0 20.867 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 20.867 * [taylor]: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K 20.867 * [taylor]: Taking taylor expansion of (* 1/8 (pow K 2)) in K 20.867 * [taylor]: Taking taylor expansion of 1/8 in K 20.867 * [backup-simplify]: Simplify 1/8 into 1/8 20.867 * [taylor]: Taking taylor expansion of (pow K 2) in K 20.867 * [taylor]: Taking taylor expansion of K in K 20.867 * [backup-simplify]: Simplify 0 into 0 20.867 * [backup-simplify]: Simplify 1 into 1 20.867 * [backup-simplify]: Simplify 0 into 0 20.867 * [backup-simplify]: Simplify 0 into 0 20.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 20.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 20.869 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.869 * [taylor]: Taking taylor expansion of 0 in K 20.869 * [backup-simplify]: Simplify 0 into 0 20.869 * [backup-simplify]: Simplify 0 into 0 20.869 * [backup-simplify]: Simplify 0 into 0 20.869 * [backup-simplify]: Simplify 1 into 1 20.869 * [backup-simplify]: Simplify (cos (* (/ 1 m) (/ (/ 1 K) 2))) into (cos (/ 1/2 (* m K))) 20.869 * [approximate]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in (m K) around 0 20.869 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 20.869 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 20.869 * [taylor]: Taking taylor expansion of 1/2 in K 20.869 * [backup-simplify]: Simplify 1/2 into 1/2 20.869 * [taylor]: Taking taylor expansion of (* m K) in K 20.869 * [taylor]: Taking taylor expansion of m in K 20.869 * [backup-simplify]: Simplify m into m 20.869 * [taylor]: Taking taylor expansion of K in K 20.869 * [backup-simplify]: Simplify 0 into 0 20.869 * [backup-simplify]: Simplify 1 into 1 20.869 * [backup-simplify]: Simplify (* m 0) into 0 20.870 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 20.870 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 20.870 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 20.870 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 20.870 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 20.870 * [taylor]: Taking taylor expansion of 1/2 in m 20.870 * [backup-simplify]: Simplify 1/2 into 1/2 20.870 * [taylor]: Taking taylor expansion of (* m K) in m 20.870 * [taylor]: Taking taylor expansion of m in m 20.870 * [backup-simplify]: Simplify 0 into 0 20.870 * [backup-simplify]: Simplify 1 into 1 20.870 * [taylor]: Taking taylor expansion of K in m 20.870 * [backup-simplify]: Simplify K into K 20.870 * [backup-simplify]: Simplify (* 0 K) into 0 20.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 20.870 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.870 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 20.870 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 20.870 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 20.870 * [taylor]: Taking taylor expansion of 1/2 in m 20.870 * [backup-simplify]: Simplify 1/2 into 1/2 20.870 * [taylor]: Taking taylor expansion of (* m K) in m 20.870 * [taylor]: Taking taylor expansion of m in m 20.870 * [backup-simplify]: Simplify 0 into 0 20.870 * [backup-simplify]: Simplify 1 into 1 20.870 * [taylor]: Taking taylor expansion of K in m 20.871 * [backup-simplify]: Simplify K into K 20.871 * [backup-simplify]: Simplify (* 0 K) into 0 20.871 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 20.871 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.871 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 20.871 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 20.871 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 20.871 * [taylor]: Taking taylor expansion of 1/2 in K 20.871 * [backup-simplify]: Simplify 1/2 into 1/2 20.871 * [taylor]: Taking taylor expansion of (* m K) in K 20.871 * [taylor]: Taking taylor expansion of m in K 20.871 * [backup-simplify]: Simplify m into m 20.871 * [taylor]: Taking taylor expansion of K in K 20.871 * [backup-simplify]: Simplify 0 into 0 20.871 * [backup-simplify]: Simplify 1 into 1 20.871 * [backup-simplify]: Simplify (* m 0) into 0 20.871 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 20.871 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 20.871 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 20.872 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 20.872 * [taylor]: Taking taylor expansion of 0 in K 20.872 * [backup-simplify]: Simplify 0 into 0 20.872 * [backup-simplify]: Simplify 0 into 0 20.872 * [backup-simplify]: Simplify 0 into 0 20.872 * [taylor]: Taking taylor expansion of 0 in K 20.872 * [backup-simplify]: Simplify 0 into 0 20.872 * [backup-simplify]: Simplify 0 into 0 20.872 * [backup-simplify]: Simplify 0 into 0 20.872 * [backup-simplify]: Simplify 0 into 0 20.872 * [taylor]: Taking taylor expansion of 0 in K 20.872 * [backup-simplify]: Simplify 0 into 0 20.872 * [backup-simplify]: Simplify 0 into 0 20.872 * [backup-simplify]: Simplify (cos (/ 1/2 (* (/ 1 m) (/ 1 K)))) into (cos (* 1/2 (* m K))) 20.872 * [backup-simplify]: Simplify (cos (* (/ 1 (- m)) (/ (/ 1 (- K)) 2))) into (cos (/ 1/2 (* m K))) 20.872 * [approximate]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in (m K) around 0 20.872 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 20.872 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 20.872 * [taylor]: Taking taylor expansion of 1/2 in K 20.872 * [backup-simplify]: Simplify 1/2 into 1/2 20.872 * [taylor]: Taking taylor expansion of (* m K) in K 20.872 * [taylor]: Taking taylor expansion of m in K 20.872 * [backup-simplify]: Simplify m into m 20.872 * [taylor]: Taking taylor expansion of K in K 20.872 * [backup-simplify]: Simplify 0 into 0 20.872 * [backup-simplify]: Simplify 1 into 1 20.872 * [backup-simplify]: Simplify (* m 0) into 0 20.872 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 20.873 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 20.873 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 20.873 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 20.873 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 20.873 * [taylor]: Taking taylor expansion of 1/2 in m 20.873 * [backup-simplify]: Simplify 1/2 into 1/2 20.873 * [taylor]: Taking taylor expansion of (* m K) in m 20.873 * [taylor]: Taking taylor expansion of m in m 20.873 * [backup-simplify]: Simplify 0 into 0 20.873 * [backup-simplify]: Simplify 1 into 1 20.873 * [taylor]: Taking taylor expansion of K in m 20.873 * [backup-simplify]: Simplify K into K 20.873 * [backup-simplify]: Simplify (* 0 K) into 0 20.873 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 20.873 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.873 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 20.873 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 20.873 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 20.873 * [taylor]: Taking taylor expansion of 1/2 in m 20.873 * [backup-simplify]: Simplify 1/2 into 1/2 20.873 * [taylor]: Taking taylor expansion of (* m K) in m 20.873 * [taylor]: Taking taylor expansion of m in m 20.873 * [backup-simplify]: Simplify 0 into 0 20.873 * [backup-simplify]: Simplify 1 into 1 20.873 * [taylor]: Taking taylor expansion of K in m 20.873 * [backup-simplify]: Simplify K into K 20.873 * [backup-simplify]: Simplify (* 0 K) into 0 20.874 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 20.874 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.874 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 20.874 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 20.874 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 20.874 * [taylor]: Taking taylor expansion of 1/2 in K 20.874 * [backup-simplify]: Simplify 1/2 into 1/2 20.874 * [taylor]: Taking taylor expansion of (* m K) in K 20.874 * [taylor]: Taking taylor expansion of m in K 20.874 * [backup-simplify]: Simplify m into m 20.874 * [taylor]: Taking taylor expansion of K in K 20.874 * [backup-simplify]: Simplify 0 into 0 20.874 * [backup-simplify]: Simplify 1 into 1 20.874 * [backup-simplify]: Simplify (* m 0) into 0 20.875 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 20.875 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 20.875 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 20.875 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 20.875 * [taylor]: Taking taylor expansion of 0 in K 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [taylor]: Taking taylor expansion of 0 in K 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [taylor]: Taking taylor expansion of 0 in K 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [backup-simplify]: Simplify (cos (/ 1/2 (* (/ 1 (- m)) (/ 1 (- K))))) into (cos (* 1/2 (* m K))) 20.875 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 20.875 * [backup-simplify]: Simplify (sin (* m (/ K 2))) into (sin (* 1/2 (* m K))) 20.875 * [approximate]: Taking taylor expansion of (sin (* 1/2 (* m K))) in (m K) around 0 20.875 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in K 20.875 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in K 20.875 * [taylor]: Taking taylor expansion of 1/2 in K 20.875 * [backup-simplify]: Simplify 1/2 into 1/2 20.875 * [taylor]: Taking taylor expansion of (* m K) in K 20.875 * [taylor]: Taking taylor expansion of m in K 20.875 * [backup-simplify]: Simplify m into m 20.875 * [taylor]: Taking taylor expansion of K in K 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [backup-simplify]: Simplify 1 into 1 20.875 * [backup-simplify]: Simplify (* m 0) into 0 20.876 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.876 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 20.876 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 20.876 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in m 20.876 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 20.876 * [taylor]: Taking taylor expansion of 1/2 in m 20.876 * [backup-simplify]: Simplify 1/2 into 1/2 20.876 * [taylor]: Taking taylor expansion of (* m K) in m 20.876 * [taylor]: Taking taylor expansion of m in m 20.876 * [backup-simplify]: Simplify 0 into 0 20.876 * [backup-simplify]: Simplify 1 into 1 20.876 * [taylor]: Taking taylor expansion of K in m 20.876 * [backup-simplify]: Simplify K into K 20.876 * [backup-simplify]: Simplify (* 0 K) into 0 20.877 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.877 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 20.877 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 20.877 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in m 20.877 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 20.877 * [taylor]: Taking taylor expansion of 1/2 in m 20.877 * [backup-simplify]: Simplify 1/2 into 1/2 20.877 * [taylor]: Taking taylor expansion of (* m K) in m 20.877 * [taylor]: Taking taylor expansion of m in m 20.877 * [backup-simplify]: Simplify 0 into 0 20.877 * [backup-simplify]: Simplify 1 into 1 20.877 * [taylor]: Taking taylor expansion of K in m 20.877 * [backup-simplify]: Simplify K into K 20.878 * [backup-simplify]: Simplify (* 0 K) into 0 20.878 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.878 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 20.878 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 20.878 * [taylor]: Taking taylor expansion of 0 in K 20.878 * [backup-simplify]: Simplify 0 into 0 20.878 * [backup-simplify]: Simplify 0 into 0 20.879 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 20.879 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 20.879 * [taylor]: Taking taylor expansion of 1/2 in K 20.879 * [backup-simplify]: Simplify 1/2 into 1/2 20.879 * [taylor]: Taking taylor expansion of K in K 20.879 * [backup-simplify]: Simplify 0 into 0 20.879 * [backup-simplify]: Simplify 1 into 1 20.879 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.879 * [backup-simplify]: Simplify 0 into 0 20.879 * [backup-simplify]: Simplify 0 into 0 20.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 20.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 20.881 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.881 * [taylor]: Taking taylor expansion of 0 in K 20.881 * [backup-simplify]: Simplify 0 into 0 20.881 * [backup-simplify]: Simplify 0 into 0 20.881 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 20.881 * [backup-simplify]: Simplify 1/2 into 1/2 20.881 * [backup-simplify]: Simplify 0 into 0 20.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 20.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 K) (* 0 0)))) into 0 20.883 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/48 (pow K 3))) 20.883 * [taylor]: Taking taylor expansion of (- (* 1/48 (pow K 3))) in K 20.883 * [taylor]: Taking taylor expansion of (* 1/48 (pow K 3)) in K 20.883 * [taylor]: Taking taylor expansion of 1/48 in K 20.883 * [backup-simplify]: Simplify 1/48 into 1/48 20.883 * [taylor]: Taking taylor expansion of (pow K 3) in K 20.883 * [taylor]: Taking taylor expansion of K in K 20.883 * [backup-simplify]: Simplify 0 into 0 20.883 * [backup-simplify]: Simplify 1 into 1 20.883 * [backup-simplify]: Simplify 0 into 0 20.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 20.884 * [backup-simplify]: Simplify 0 into 0 20.884 * [backup-simplify]: Simplify 0 into 0 20.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 20.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 K) (* 0 0))))) into 0 20.887 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.887 * [taylor]: Taking taylor expansion of 0 in K 20.887 * [backup-simplify]: Simplify 0 into 0 20.887 * [backup-simplify]: Simplify 0 into 0 20.887 * [backup-simplify]: Simplify 0 into 0 20.887 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 20.887 * [backup-simplify]: Simplify (sin (* (/ 1 m) (/ (/ 1 K) 2))) into (sin (/ 1/2 (* m K))) 20.887 * [approximate]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in (m K) around 0 20.887 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 20.887 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 20.887 * [taylor]: Taking taylor expansion of 1/2 in K 20.887 * [backup-simplify]: Simplify 1/2 into 1/2 20.887 * [taylor]: Taking taylor expansion of (* m K) in K 20.887 * [taylor]: Taking taylor expansion of m in K 20.887 * [backup-simplify]: Simplify m into m 20.887 * [taylor]: Taking taylor expansion of K in K 20.887 * [backup-simplify]: Simplify 0 into 0 20.887 * [backup-simplify]: Simplify 1 into 1 20.887 * [backup-simplify]: Simplify (* m 0) into 0 20.887 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 20.887 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 20.887 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 20.887 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 20.887 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 20.887 * [taylor]: Taking taylor expansion of 1/2 in m 20.887 * [backup-simplify]: Simplify 1/2 into 1/2 20.887 * [taylor]: Taking taylor expansion of (* m K) in m 20.887 * [taylor]: Taking taylor expansion of m in m 20.887 * [backup-simplify]: Simplify 0 into 0 20.887 * [backup-simplify]: Simplify 1 into 1 20.887 * [taylor]: Taking taylor expansion of K in m 20.888 * [backup-simplify]: Simplify K into K 20.888 * [backup-simplify]: Simplify (* 0 K) into 0 20.888 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 20.888 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.888 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 20.888 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 20.888 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 20.888 * [taylor]: Taking taylor expansion of 1/2 in m 20.888 * [backup-simplify]: Simplify 1/2 into 1/2 20.888 * [taylor]: Taking taylor expansion of (* m K) in m 20.888 * [taylor]: Taking taylor expansion of m in m 20.888 * [backup-simplify]: Simplify 0 into 0 20.888 * [backup-simplify]: Simplify 1 into 1 20.888 * [taylor]: Taking taylor expansion of K in m 20.888 * [backup-simplify]: Simplify K into K 20.888 * [backup-simplify]: Simplify (* 0 K) into 0 20.888 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 20.888 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.888 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 20.889 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 20.889 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 20.889 * [taylor]: Taking taylor expansion of 1/2 in K 20.889 * [backup-simplify]: Simplify 1/2 into 1/2 20.889 * [taylor]: Taking taylor expansion of (* m K) in K 20.889 * [taylor]: Taking taylor expansion of m in K 20.889 * [backup-simplify]: Simplify m into m 20.889 * [taylor]: Taking taylor expansion of K in K 20.889 * [backup-simplify]: Simplify 0 into 0 20.889 * [backup-simplify]: Simplify 1 into 1 20.889 * [backup-simplify]: Simplify (* m 0) into 0 20.889 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 20.889 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 20.889 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 20.889 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 20.889 * [taylor]: Taking taylor expansion of 0 in K 20.889 * [backup-simplify]: Simplify 0 into 0 20.889 * [backup-simplify]: Simplify 0 into 0 20.889 * [backup-simplify]: Simplify 0 into 0 20.889 * [taylor]: Taking taylor expansion of 0 in K 20.889 * [backup-simplify]: Simplify 0 into 0 20.889 * [backup-simplify]: Simplify 0 into 0 20.889 * [backup-simplify]: Simplify 0 into 0 20.889 * [backup-simplify]: Simplify 0 into 0 20.889 * [taylor]: Taking taylor expansion of 0 in K 20.889 * [backup-simplify]: Simplify 0 into 0 20.889 * [backup-simplify]: Simplify 0 into 0 20.889 * [backup-simplify]: Simplify (sin (/ 1/2 (* (/ 1 m) (/ 1 K)))) into (sin (* 1/2 (* m K))) 20.890 * [backup-simplify]: Simplify (sin (* (/ 1 (- m)) (/ (/ 1 (- K)) 2))) into (sin (/ 1/2 (* m K))) 20.890 * [approximate]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in (m K) around 0 20.890 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 20.890 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 20.890 * [taylor]: Taking taylor expansion of 1/2 in K 20.890 * [backup-simplify]: Simplify 1/2 into 1/2 20.890 * [taylor]: Taking taylor expansion of (* m K) in K 20.890 * [taylor]: Taking taylor expansion of m in K 20.890 * [backup-simplify]: Simplify m into m 20.890 * [taylor]: Taking taylor expansion of K in K 20.890 * [backup-simplify]: Simplify 0 into 0 20.890 * [backup-simplify]: Simplify 1 into 1 20.890 * [backup-simplify]: Simplify (* m 0) into 0 20.890 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 20.890 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 20.890 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 20.890 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 20.890 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 20.890 * [taylor]: Taking taylor expansion of 1/2 in m 20.890 * [backup-simplify]: Simplify 1/2 into 1/2 20.890 * [taylor]: Taking taylor expansion of (* m K) in m 20.890 * [taylor]: Taking taylor expansion of m in m 20.890 * [backup-simplify]: Simplify 0 into 0 20.890 * [backup-simplify]: Simplify 1 into 1 20.890 * [taylor]: Taking taylor expansion of K in m 20.890 * [backup-simplify]: Simplify K into K 20.890 * [backup-simplify]: Simplify (* 0 K) into 0 20.891 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 20.891 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.891 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 20.891 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 20.891 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 20.891 * [taylor]: Taking taylor expansion of 1/2 in m 20.891 * [backup-simplify]: Simplify 1/2 into 1/2 20.891 * [taylor]: Taking taylor expansion of (* m K) in m 20.891 * [taylor]: Taking taylor expansion of m in m 20.891 * [backup-simplify]: Simplify 0 into 0 20.891 * [backup-simplify]: Simplify 1 into 1 20.891 * [taylor]: Taking taylor expansion of K in m 20.891 * [backup-simplify]: Simplify K into K 20.891 * [backup-simplify]: Simplify (* 0 K) into 0 20.891 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 20.891 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 20.891 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 20.891 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 20.891 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 20.891 * [taylor]: Taking taylor expansion of 1/2 in K 20.891 * [backup-simplify]: Simplify 1/2 into 1/2 20.891 * [taylor]: Taking taylor expansion of (* m K) in K 20.891 * [taylor]: Taking taylor expansion of m in K 20.891 * [backup-simplify]: Simplify m into m 20.891 * [taylor]: Taking taylor expansion of K in K 20.891 * [backup-simplify]: Simplify 0 into 0 20.891 * [backup-simplify]: Simplify 1 into 1 20.891 * [backup-simplify]: Simplify (* m 0) into 0 20.892 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 20.892 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 20.892 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 20.892 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 20.892 * [taylor]: Taking taylor expansion of 0 in K 20.892 * [backup-simplify]: Simplify 0 into 0 20.892 * [backup-simplify]: Simplify 0 into 0 20.892 * [backup-simplify]: Simplify 0 into 0 20.892 * [taylor]: Taking taylor expansion of 0 in K 20.892 * [backup-simplify]: Simplify 0 into 0 20.892 * [backup-simplify]: Simplify 0 into 0 20.892 * [backup-simplify]: Simplify 0 into 0 20.892 * [backup-simplify]: Simplify 0 into 0 20.892 * [taylor]: Taking taylor expansion of 0 in K 20.892 * [backup-simplify]: Simplify 0 into 0 20.892 * [backup-simplify]: Simplify 0 into 0 20.893 * [backup-simplify]: Simplify (sin (/ 1/2 (* (/ 1 (- m)) (/ 1 (- K))))) into (sin (* 1/2 (* m K))) 20.893 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 20.893 * [backup-simplify]: Simplify (cos (- (* n (/ K 2)) M)) into (cos (- (* 1/2 (* K n)) M)) 20.893 * [approximate]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in (n K M) around 0 20.893 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in M 20.893 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in M 20.893 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 20.893 * [taylor]: Taking taylor expansion of 1/2 in M 20.893 * [backup-simplify]: Simplify 1/2 into 1/2 20.893 * [taylor]: Taking taylor expansion of (* K n) in M 20.893 * [taylor]: Taking taylor expansion of K in M 20.893 * [backup-simplify]: Simplify K into K 20.893 * [taylor]: Taking taylor expansion of n in M 20.893 * [backup-simplify]: Simplify n into n 20.893 * [taylor]: Taking taylor expansion of M in M 20.893 * [backup-simplify]: Simplify 0 into 0 20.893 * [backup-simplify]: Simplify 1 into 1 20.893 * [backup-simplify]: Simplify (* K n) into (* K n) 20.893 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 20.894 * [backup-simplify]: Simplify (- 0) into 0 20.894 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 20.894 * [backup-simplify]: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) 20.894 * [backup-simplify]: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) 20.894 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in K 20.894 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in K 20.894 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 20.894 * [taylor]: Taking taylor expansion of 1/2 in K 20.894 * [backup-simplify]: Simplify 1/2 into 1/2 20.894 * [taylor]: Taking taylor expansion of (* K n) in K 20.894 * [taylor]: Taking taylor expansion of K in K 20.894 * [backup-simplify]: Simplify 0 into 0 20.894 * [backup-simplify]: Simplify 1 into 1 20.894 * [taylor]: Taking taylor expansion of n in K 20.894 * [backup-simplify]: Simplify n into n 20.894 * [taylor]: Taking taylor expansion of M in K 20.894 * [backup-simplify]: Simplify M into M 20.894 * [backup-simplify]: Simplify (* 0 n) into 0 20.895 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.895 * [backup-simplify]: Simplify (- M) into (- M) 20.895 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 20.895 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.895 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.895 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 20.895 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 20.895 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 20.895 * [taylor]: Taking taylor expansion of 1/2 in n 20.895 * [backup-simplify]: Simplify 1/2 into 1/2 20.895 * [taylor]: Taking taylor expansion of (* K n) in n 20.895 * [taylor]: Taking taylor expansion of K in n 20.895 * [backup-simplify]: Simplify K into K 20.895 * [taylor]: Taking taylor expansion of n in n 20.895 * [backup-simplify]: Simplify 0 into 0 20.895 * [backup-simplify]: Simplify 1 into 1 20.895 * [taylor]: Taking taylor expansion of M in n 20.895 * [backup-simplify]: Simplify M into M 20.895 * [backup-simplify]: Simplify (* K 0) into 0 20.896 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.896 * [backup-simplify]: Simplify (- M) into (- M) 20.896 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 20.896 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.896 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.896 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 20.896 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 20.896 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 20.896 * [taylor]: Taking taylor expansion of 1/2 in n 20.896 * [backup-simplify]: Simplify 1/2 into 1/2 20.896 * [taylor]: Taking taylor expansion of (* K n) in n 20.896 * [taylor]: Taking taylor expansion of K in n 20.896 * [backup-simplify]: Simplify K into K 20.896 * [taylor]: Taking taylor expansion of n in n 20.896 * [backup-simplify]: Simplify 0 into 0 20.896 * [backup-simplify]: Simplify 1 into 1 20.896 * [taylor]: Taking taylor expansion of M in n 20.896 * [backup-simplify]: Simplify M into M 20.896 * [backup-simplify]: Simplify (* K 0) into 0 20.897 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.897 * [backup-simplify]: Simplify (- M) into (- M) 20.897 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 20.897 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.897 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.897 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 20.897 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 20.898 * [backup-simplify]: Simplify (- 0) into 0 20.898 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 20.898 * [taylor]: Taking taylor expansion of (cos (- M)) in K 20.898 * [taylor]: Taking taylor expansion of (- M) in K 20.898 * [taylor]: Taking taylor expansion of M in K 20.898 * [backup-simplify]: Simplify M into M 20.898 * [backup-simplify]: Simplify (- M) into (- M) 20.898 * [backup-simplify]: Simplify (- M) into (- M) 20.898 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.898 * [backup-simplify]: Simplify (- M) into (- M) 20.898 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.898 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 20.898 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 20.899 * [backup-simplify]: Simplify (- 0) into 0 20.899 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 20.899 * [taylor]: Taking taylor expansion of (cos (- M)) in M 20.899 * [taylor]: Taking taylor expansion of (- M) in M 20.899 * [taylor]: Taking taylor expansion of M in M 20.899 * [backup-simplify]: Simplify 0 into 0 20.899 * [backup-simplify]: Simplify 1 into 1 20.899 * [backup-simplify]: Simplify (- 0) into 0 20.900 * [backup-simplify]: Simplify (- 1) into -1 20.900 * [backup-simplify]: Simplify 1 into 1 20.900 * [backup-simplify]: Simplify (+ 0) into 0 20.901 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 20.901 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 20.901 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 20.902 * [backup-simplify]: Simplify (- 0) into 0 20.902 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 20.902 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 20.902 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 20.903 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 20.903 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 20.903 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 20.903 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 20.903 * [taylor]: Taking taylor expansion of 1/2 in K 20.903 * [backup-simplify]: Simplify 1/2 into 1/2 20.903 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 20.903 * [taylor]: Taking taylor expansion of K in K 20.903 * [backup-simplify]: Simplify 0 into 0 20.903 * [backup-simplify]: Simplify 1 into 1 20.903 * [taylor]: Taking taylor expansion of (sin (- M)) in K 20.903 * [taylor]: Taking taylor expansion of (- M) in K 20.903 * [taylor]: Taking taylor expansion of M in K 20.903 * [backup-simplify]: Simplify M into M 20.903 * [backup-simplify]: Simplify (- M) into (- M) 20.903 * [backup-simplify]: Simplify (- M) into (- M) 20.903 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.903 * [backup-simplify]: Simplify (- M) into (- M) 20.903 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.903 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 20.903 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 20.904 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 20.904 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 20.904 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.904 * [backup-simplify]: Simplify (- 0) into 0 20.904 * [taylor]: Taking taylor expansion of 0 in M 20.904 * [backup-simplify]: Simplify 0 into 0 20.905 * [backup-simplify]: Simplify 0 into 0 20.905 * [backup-simplify]: Simplify (+ 0) into 0 20.905 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 20.906 * [backup-simplify]: Simplify (- 0) into 0 20.907 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.907 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 20.907 * [backup-simplify]: Simplify (- 0) into 0 20.908 * [backup-simplify]: Simplify (+ 0 0) into 0 20.908 * [taylor]: Taking taylor expansion of 0 in M 20.908 * [backup-simplify]: Simplify 0 into 0 20.908 * [backup-simplify]: Simplify 0 into 0 20.909 * [backup-simplify]: Simplify (+ 0) into 0 20.909 * [backup-simplify]: Simplify 0 into 0 20.909 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 20.910 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 20.910 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 20.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 20.912 * [backup-simplify]: Simplify (- 0) into 0 20.912 * [backup-simplify]: Simplify (+ 0 0) into 0 20.913 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.913 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 20.914 * [backup-simplify]: Simplify (- 0) into 0 20.914 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 20.914 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 20.914 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 20.914 * [taylor]: Taking taylor expansion of 1/8 in K 20.914 * [backup-simplify]: Simplify 1/8 into 1/8 20.914 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 20.914 * [taylor]: Taking taylor expansion of (pow K 2) in K 20.914 * [taylor]: Taking taylor expansion of K in K 20.914 * [backup-simplify]: Simplify 0 into 0 20.914 * [backup-simplify]: Simplify 1 into 1 20.914 * [taylor]: Taking taylor expansion of (cos (- M)) in K 20.914 * [taylor]: Taking taylor expansion of (- M) in K 20.914 * [taylor]: Taking taylor expansion of M in K 20.914 * [backup-simplify]: Simplify M into M 20.914 * [backup-simplify]: Simplify (- M) into (- M) 20.914 * [backup-simplify]: Simplify (- M) into (- M) 20.914 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.914 * [backup-simplify]: Simplify (- M) into (- M) 20.915 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.915 * [backup-simplify]: Simplify (+ 0) into 0 20.915 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 20.916 * [backup-simplify]: Simplify (- 0) into 0 20.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.917 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 20.917 * [backup-simplify]: Simplify (+ 0 0) into 0 20.918 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 20.919 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 20.919 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 20.919 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 20.919 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 20.919 * [taylor]: Taking taylor expansion of 1/2 in M 20.919 * [backup-simplify]: Simplify 1/2 into 1/2 20.919 * [taylor]: Taking taylor expansion of (sin (- M)) in M 20.919 * [taylor]: Taking taylor expansion of (- M) in M 20.919 * [taylor]: Taking taylor expansion of M in M 20.919 * [backup-simplify]: Simplify 0 into 0 20.919 * [backup-simplify]: Simplify 1 into 1 20.919 * [backup-simplify]: Simplify (- 0) into 0 20.920 * [backup-simplify]: Simplify (- 1) into -1 20.920 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.920 * [backup-simplify]: Simplify (- 0) into 0 20.920 * [backup-simplify]: Simplify 0 into 0 20.921 * [backup-simplify]: Simplify (- 0) into 0 20.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.923 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 20.923 * [backup-simplify]: Simplify (- 0) into 0 20.924 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.924 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 20.925 * [backup-simplify]: Simplify (- 0) into 0 20.925 * [backup-simplify]: Simplify (+ 0 0) into 0 20.925 * [taylor]: Taking taylor expansion of 0 in M 20.925 * [backup-simplify]: Simplify 0 into 0 20.925 * [backup-simplify]: Simplify 0 into 0 20.925 * [backup-simplify]: Simplify 0 into 0 20.925 * [backup-simplify]: Simplify 1 into 1 20.925 * [backup-simplify]: Simplify (cos (- (* (/ 1 n) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 20.926 * [approximate]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in (n K M) around 0 20.926 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in M 20.926 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in M 20.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 20.926 * [taylor]: Taking taylor expansion of 1/2 in M 20.926 * [backup-simplify]: Simplify 1/2 into 1/2 20.926 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 20.926 * [taylor]: Taking taylor expansion of (* K n) in M 20.926 * [taylor]: Taking taylor expansion of K in M 20.926 * [backup-simplify]: Simplify K into K 20.926 * [taylor]: Taking taylor expansion of n in M 20.926 * [backup-simplify]: Simplify n into n 20.926 * [backup-simplify]: Simplify (* K n) into (* K n) 20.926 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 20.926 * [taylor]: Taking taylor expansion of (/ 1 M) in M 20.926 * [taylor]: Taking taylor expansion of M in M 20.926 * [backup-simplify]: Simplify 0 into 0 20.926 * [backup-simplify]: Simplify 1 into 1 20.926 * [backup-simplify]: Simplify (/ 1 1) into 1 20.927 * [backup-simplify]: Simplify (- 1) into -1 20.927 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.927 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 20.927 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in K 20.927 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in K 20.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 20.928 * [taylor]: Taking taylor expansion of 1/2 in K 20.928 * [backup-simplify]: Simplify 1/2 into 1/2 20.928 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 20.928 * [taylor]: Taking taylor expansion of (* K n) in K 20.928 * [taylor]: Taking taylor expansion of K in K 20.928 * [backup-simplify]: Simplify 0 into 0 20.928 * [backup-simplify]: Simplify 1 into 1 20.928 * [taylor]: Taking taylor expansion of n in K 20.928 * [backup-simplify]: Simplify n into n 20.928 * [backup-simplify]: Simplify (* 0 n) into 0 20.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 20.928 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 20.928 * [taylor]: Taking taylor expansion of (/ 1 M) in K 20.928 * [taylor]: Taking taylor expansion of M in K 20.928 * [backup-simplify]: Simplify M into M 20.928 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 20.928 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 20.929 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 20.929 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 20.929 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in n 20.929 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 20.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 20.929 * [taylor]: Taking taylor expansion of 1/2 in n 20.929 * [backup-simplify]: Simplify 1/2 into 1/2 20.929 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 20.929 * [taylor]: Taking taylor expansion of (* K n) in n 20.929 * [taylor]: Taking taylor expansion of K in n 20.929 * [backup-simplify]: Simplify K into K 20.929 * [taylor]: Taking taylor expansion of n in n 20.929 * [backup-simplify]: Simplify 0 into 0 20.929 * [backup-simplify]: Simplify 1 into 1 20.929 * [backup-simplify]: Simplify (* K 0) into 0 20.929 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 20.930 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 20.930 * [taylor]: Taking taylor expansion of (/ 1 M) in n 20.930 * [taylor]: Taking taylor expansion of M in n 20.930 * [backup-simplify]: Simplify M into M 20.930 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 20.930 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 20.930 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 20.930 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 20.930 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in n 20.930 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 20.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 20.930 * [taylor]: Taking taylor expansion of 1/2 in n 20.930 * [backup-simplify]: Simplify 1/2 into 1/2 20.930 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 20.930 * [taylor]: Taking taylor expansion of (* K n) in n 20.930 * [taylor]: Taking taylor expansion of K in n 20.930 * [backup-simplify]: Simplify K into K 20.930 * [taylor]: Taking taylor expansion of n in n 20.930 * [backup-simplify]: Simplify 0 into 0 20.930 * [backup-simplify]: Simplify 1 into 1 20.930 * [backup-simplify]: Simplify (* K 0) into 0 20.931 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 20.931 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 20.931 * [taylor]: Taking taylor expansion of (/ 1 M) in n 20.931 * [taylor]: Taking taylor expansion of M in n 20.931 * [backup-simplify]: Simplify M into M 20.931 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 20.931 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 20.931 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 20.931 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 20.931 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in K 20.931 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in K 20.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 20.931 * [taylor]: Taking taylor expansion of 1/2 in K 20.932 * [backup-simplify]: Simplify 1/2 into 1/2 20.932 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 20.932 * [taylor]: Taking taylor expansion of (* K n) in K 20.932 * [taylor]: Taking taylor expansion of K in K 20.932 * [backup-simplify]: Simplify 0 into 0 20.932 * [backup-simplify]: Simplify 1 into 1 20.932 * [taylor]: Taking taylor expansion of n in K 20.932 * [backup-simplify]: Simplify n into n 20.932 * [backup-simplify]: Simplify (* 0 n) into 0 20.932 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 20.932 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 20.932 * [taylor]: Taking taylor expansion of (/ 1 M) in K 20.932 * [taylor]: Taking taylor expansion of M in K 20.932 * [backup-simplify]: Simplify M into M 20.932 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 20.933 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 20.933 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 20.933 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 20.933 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in M 20.933 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in M 20.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 20.933 * [taylor]: Taking taylor expansion of 1/2 in M 20.933 * [backup-simplify]: Simplify 1/2 into 1/2 20.933 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 20.933 * [taylor]: Taking taylor expansion of (* K n) in M 20.933 * [taylor]: Taking taylor expansion of K in M 20.933 * [backup-simplify]: Simplify K into K 20.933 * [taylor]: Taking taylor expansion of n in M 20.933 * [backup-simplify]: Simplify n into n 20.933 * [backup-simplify]: Simplify (* K n) into (* K n) 20.933 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 20.933 * [taylor]: Taking taylor expansion of (/ 1 M) in M 20.933 * [taylor]: Taking taylor expansion of M in M 20.933 * [backup-simplify]: Simplify 0 into 0 20.933 * [backup-simplify]: Simplify 1 into 1 20.934 * [backup-simplify]: Simplify (/ 1 1) into 1 20.934 * [backup-simplify]: Simplify (- 1) into -1 20.935 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.935 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 20.935 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 20.935 * [taylor]: Taking taylor expansion of 0 in K 20.935 * [backup-simplify]: Simplify 0 into 0 20.935 * [taylor]: Taking taylor expansion of 0 in M 20.935 * [backup-simplify]: Simplify 0 into 0 20.935 * [backup-simplify]: Simplify 0 into 0 20.935 * [taylor]: Taking taylor expansion of 0 in M 20.935 * [backup-simplify]: Simplify 0 into 0 20.935 * [backup-simplify]: Simplify 0 into 0 20.935 * [backup-simplify]: Simplify 0 into 0 20.935 * [taylor]: Taking taylor expansion of 0 in K 20.935 * [backup-simplify]: Simplify 0 into 0 20.935 * [taylor]: Taking taylor expansion of 0 in M 20.936 * [backup-simplify]: Simplify 0 into 0 20.936 * [backup-simplify]: Simplify 0 into 0 20.936 * [taylor]: Taking taylor expansion of 0 in M 20.936 * [backup-simplify]: Simplify 0 into 0 20.936 * [backup-simplify]: Simplify 0 into 0 20.936 * [taylor]: Taking taylor expansion of 0 in M 20.936 * [backup-simplify]: Simplify 0 into 0 20.936 * [backup-simplify]: Simplify 0 into 0 20.936 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n)))) (/ 1 (/ 1 M)))) into (cos (- (* 1/2 (* K n)) M)) 20.936 * [backup-simplify]: Simplify (cos (- (* (/ 1 (- n)) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 20.936 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in (n K M) around 0 20.936 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in M 20.936 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in M 20.936 * [taylor]: Taking taylor expansion of (/ 1 M) in M 20.936 * [taylor]: Taking taylor expansion of M in M 20.937 * [backup-simplify]: Simplify 0 into 0 20.937 * [backup-simplify]: Simplify 1 into 1 20.937 * [backup-simplify]: Simplify (/ 1 1) into 1 20.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 20.937 * [taylor]: Taking taylor expansion of 1/2 in M 20.937 * [backup-simplify]: Simplify 1/2 into 1/2 20.937 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 20.937 * [taylor]: Taking taylor expansion of (* K n) in M 20.937 * [taylor]: Taking taylor expansion of K in M 20.937 * [backup-simplify]: Simplify K into K 20.937 * [taylor]: Taking taylor expansion of n in M 20.937 * [backup-simplify]: Simplify n into n 20.937 * [backup-simplify]: Simplify (* K n) into (* K n) 20.937 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 20.938 * [backup-simplify]: Simplify (+ 1 0) into 1 20.938 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 20.938 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in K 20.938 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in K 20.938 * [taylor]: Taking taylor expansion of (/ 1 M) in K 20.938 * [taylor]: Taking taylor expansion of M in K 20.938 * [backup-simplify]: Simplify M into M 20.938 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 20.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 20.938 * [taylor]: Taking taylor expansion of 1/2 in K 20.938 * [backup-simplify]: Simplify 1/2 into 1/2 20.938 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 20.938 * [taylor]: Taking taylor expansion of (* K n) in K 20.938 * [taylor]: Taking taylor expansion of K in K 20.938 * [backup-simplify]: Simplify 0 into 0 20.938 * [backup-simplify]: Simplify 1 into 1 20.938 * [taylor]: Taking taylor expansion of n in K 20.938 * [backup-simplify]: Simplify n into n 20.938 * [backup-simplify]: Simplify (* 0 n) into 0 20.939 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 20.939 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 20.939 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 20.939 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 20.939 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 20.939 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in n 20.939 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 20.939 * [taylor]: Taking taylor expansion of (/ 1 M) in n 20.939 * [taylor]: Taking taylor expansion of M in n 20.939 * [backup-simplify]: Simplify M into M 20.939 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 20.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 20.940 * [taylor]: Taking taylor expansion of 1/2 in n 20.940 * [backup-simplify]: Simplify 1/2 into 1/2 20.940 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 20.940 * [taylor]: Taking taylor expansion of (* K n) in n 20.940 * [taylor]: Taking taylor expansion of K in n 20.940 * [backup-simplify]: Simplify K into K 20.940 * [taylor]: Taking taylor expansion of n in n 20.940 * [backup-simplify]: Simplify 0 into 0 20.940 * [backup-simplify]: Simplify 1 into 1 20.940 * [backup-simplify]: Simplify (* K 0) into 0 20.940 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 20.940 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 20.940 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 20.940 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 20.941 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 20.941 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in n 20.941 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 20.941 * [taylor]: Taking taylor expansion of (/ 1 M) in n 20.941 * [taylor]: Taking taylor expansion of M in n 20.941 * [backup-simplify]: Simplify M into M 20.941 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 20.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 20.941 * [taylor]: Taking taylor expansion of 1/2 in n 20.941 * [backup-simplify]: Simplify 1/2 into 1/2 20.941 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 20.941 * [taylor]: Taking taylor expansion of (* K n) in n 20.941 * [taylor]: Taking taylor expansion of K in n 20.941 * [backup-simplify]: Simplify K into K 20.941 * [taylor]: Taking taylor expansion of n in n 20.941 * [backup-simplify]: Simplify 0 into 0 20.941 * [backup-simplify]: Simplify 1 into 1 20.941 * [backup-simplify]: Simplify (* K 0) into 0 20.942 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 20.942 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 20.942 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 20.942 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 20.942 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 20.942 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in K 20.942 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in K 20.942 * [taylor]: Taking taylor expansion of (/ 1 M) in K 20.942 * [taylor]: Taking taylor expansion of M in K 20.942 * [backup-simplify]: Simplify M into M 20.942 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 20.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 20.942 * [taylor]: Taking taylor expansion of 1/2 in K 20.942 * [backup-simplify]: Simplify 1/2 into 1/2 20.942 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 20.942 * [taylor]: Taking taylor expansion of (* K n) in K 20.942 * [taylor]: Taking taylor expansion of K in K 20.942 * [backup-simplify]: Simplify 0 into 0 20.942 * [backup-simplify]: Simplify 1 into 1 20.943 * [taylor]: Taking taylor expansion of n in K 20.943 * [backup-simplify]: Simplify n into n 20.943 * [backup-simplify]: Simplify (* 0 n) into 0 20.943 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 20.943 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 20.943 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 20.943 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 20.943 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 20.943 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in M 20.943 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in M 20.944 * [taylor]: Taking taylor expansion of (/ 1 M) in M 20.944 * [taylor]: Taking taylor expansion of M in M 20.944 * [backup-simplify]: Simplify 0 into 0 20.944 * [backup-simplify]: Simplify 1 into 1 20.944 * [backup-simplify]: Simplify (/ 1 1) into 1 20.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 20.944 * [taylor]: Taking taylor expansion of 1/2 in M 20.944 * [backup-simplify]: Simplify 1/2 into 1/2 20.944 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 20.944 * [taylor]: Taking taylor expansion of (* K n) in M 20.944 * [taylor]: Taking taylor expansion of K in M 20.944 * [backup-simplify]: Simplify K into K 20.944 * [taylor]: Taking taylor expansion of n in M 20.944 * [backup-simplify]: Simplify n into n 20.944 * [backup-simplify]: Simplify (* K n) into (* K n) 20.944 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 20.945 * [backup-simplify]: Simplify (+ 1 0) into 1 20.945 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 20.945 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 20.945 * [taylor]: Taking taylor expansion of 0 in K 20.945 * [backup-simplify]: Simplify 0 into 0 20.945 * [taylor]: Taking taylor expansion of 0 in M 20.945 * [backup-simplify]: Simplify 0 into 0 20.945 * [backup-simplify]: Simplify 0 into 0 20.945 * [taylor]: Taking taylor expansion of 0 in M 20.945 * [backup-simplify]: Simplify 0 into 0 20.945 * [backup-simplify]: Simplify 0 into 0 20.945 * [backup-simplify]: Simplify 0 into 0 20.946 * [taylor]: Taking taylor expansion of 0 in K 20.946 * [backup-simplify]: Simplify 0 into 0 20.946 * [taylor]: Taking taylor expansion of 0 in M 20.946 * [backup-simplify]: Simplify 0 into 0 20.946 * [backup-simplify]: Simplify 0 into 0 20.946 * [taylor]: Taking taylor expansion of 0 in M 20.946 * [backup-simplify]: Simplify 0 into 0 20.946 * [backup-simplify]: Simplify 0 into 0 20.946 * [taylor]: Taking taylor expansion of 0 in M 20.946 * [backup-simplify]: Simplify 0 into 0 20.946 * [backup-simplify]: Simplify 0 into 0 20.946 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n))))))) into (cos (- (* 1/2 (* K n)) M)) 20.946 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 20.946 * [backup-simplify]: Simplify (sin (- (* n (/ K 2)) M)) into (sin (- (* 1/2 (* K n)) M)) 20.946 * [approximate]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in (n K M) around 0 20.946 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in M 20.946 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in M 20.947 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 20.947 * [taylor]: Taking taylor expansion of 1/2 in M 20.947 * [backup-simplify]: Simplify 1/2 into 1/2 20.947 * [taylor]: Taking taylor expansion of (* K n) in M 20.947 * [taylor]: Taking taylor expansion of K in M 20.947 * [backup-simplify]: Simplify K into K 20.947 * [taylor]: Taking taylor expansion of n in M 20.947 * [backup-simplify]: Simplify n into n 20.947 * [taylor]: Taking taylor expansion of M in M 20.947 * [backup-simplify]: Simplify 0 into 0 20.947 * [backup-simplify]: Simplify 1 into 1 20.947 * [backup-simplify]: Simplify (* K n) into (* K n) 20.947 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 20.947 * [backup-simplify]: Simplify (- 0) into 0 20.947 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 20.948 * [backup-simplify]: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) 20.948 * [backup-simplify]: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) 20.948 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in K 20.948 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in K 20.948 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 20.948 * [taylor]: Taking taylor expansion of 1/2 in K 20.948 * [backup-simplify]: Simplify 1/2 into 1/2 20.948 * [taylor]: Taking taylor expansion of (* K n) in K 20.948 * [taylor]: Taking taylor expansion of K in K 20.948 * [backup-simplify]: Simplify 0 into 0 20.948 * [backup-simplify]: Simplify 1 into 1 20.948 * [taylor]: Taking taylor expansion of n in K 20.948 * [backup-simplify]: Simplify n into n 20.948 * [taylor]: Taking taylor expansion of M in K 20.948 * [backup-simplify]: Simplify M into M 20.948 * [backup-simplify]: Simplify (* 0 n) into 0 20.949 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.949 * [backup-simplify]: Simplify (- M) into (- M) 20.949 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 20.949 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.949 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.949 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 20.949 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 20.949 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 20.949 * [taylor]: Taking taylor expansion of 1/2 in n 20.949 * [backup-simplify]: Simplify 1/2 into 1/2 20.949 * [taylor]: Taking taylor expansion of (* K n) in n 20.949 * [taylor]: Taking taylor expansion of K in n 20.949 * [backup-simplify]: Simplify K into K 20.949 * [taylor]: Taking taylor expansion of n in n 20.949 * [backup-simplify]: Simplify 0 into 0 20.949 * [backup-simplify]: Simplify 1 into 1 20.949 * [taylor]: Taking taylor expansion of M in n 20.949 * [backup-simplify]: Simplify M into M 20.949 * [backup-simplify]: Simplify (* K 0) into 0 20.950 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.950 * [backup-simplify]: Simplify (- M) into (- M) 20.950 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 20.950 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.950 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.950 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n 20.950 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 20.950 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 20.950 * [taylor]: Taking taylor expansion of 1/2 in n 20.950 * [backup-simplify]: Simplify 1/2 into 1/2 20.950 * [taylor]: Taking taylor expansion of (* K n) in n 20.950 * [taylor]: Taking taylor expansion of K in n 20.950 * [backup-simplify]: Simplify K into K 20.950 * [taylor]: Taking taylor expansion of n in n 20.950 * [backup-simplify]: Simplify 0 into 0 20.950 * [backup-simplify]: Simplify 1 into 1 20.951 * [taylor]: Taking taylor expansion of M in n 20.951 * [backup-simplify]: Simplify M into M 20.951 * [backup-simplify]: Simplify (* K 0) into 0 20.951 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.951 * [backup-simplify]: Simplify (- M) into (- M) 20.951 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 20.951 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.951 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.951 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 20.952 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 20.952 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 20.952 * [taylor]: Taking taylor expansion of (sin (- M)) in K 20.952 * [taylor]: Taking taylor expansion of (- M) in K 20.952 * [taylor]: Taking taylor expansion of M in K 20.952 * [backup-simplify]: Simplify M into M 20.952 * [backup-simplify]: Simplify (- M) into (- M) 20.952 * [backup-simplify]: Simplify (- M) into (- M) 20.952 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.952 * [backup-simplify]: Simplify (- M) into (- M) 20.952 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.952 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 20.952 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 20.952 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 20.952 * [taylor]: Taking taylor expansion of (sin (- M)) in M 20.952 * [taylor]: Taking taylor expansion of (- M) in M 20.952 * [taylor]: Taking taylor expansion of M in M 20.952 * [backup-simplify]: Simplify 0 into 0 20.952 * [backup-simplify]: Simplify 1 into 1 20.953 * [backup-simplify]: Simplify (- 0) into 0 20.953 * [backup-simplify]: Simplify (- 1) into -1 20.953 * [backup-simplify]: Simplify 0 into 0 20.954 * [backup-simplify]: Simplify (+ 0) into 0 20.954 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 20.954 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 20.955 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 20.955 * [backup-simplify]: Simplify (- 0) into 0 20.955 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 20.955 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 20.956 * [backup-simplify]: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) 20.956 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) 20.956 * [taylor]: Taking taylor expansion of (* 1/2 (* K (cos (- M)))) in K 20.956 * [taylor]: Taking taylor expansion of 1/2 in K 20.956 * [backup-simplify]: Simplify 1/2 into 1/2 20.956 * [taylor]: Taking taylor expansion of (* K (cos (- M))) in K 20.956 * [taylor]: Taking taylor expansion of K in K 20.956 * [backup-simplify]: Simplify 0 into 0 20.956 * [backup-simplify]: Simplify 1 into 1 20.956 * [taylor]: Taking taylor expansion of (cos (- M)) in K 20.956 * [taylor]: Taking taylor expansion of (- M) in K 20.956 * [taylor]: Taking taylor expansion of M in K 20.956 * [backup-simplify]: Simplify M into M 20.956 * [backup-simplify]: Simplify (- M) into (- M) 20.956 * [backup-simplify]: Simplify (- M) into (- M) 20.957 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.957 * [backup-simplify]: Simplify (- M) into (- M) 20.957 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.957 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 20.957 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 20.957 * [backup-simplify]: Simplify (- 0) into 0 20.957 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 20.957 * [backup-simplify]: Simplify (* 0 (cos (- M))) into 0 20.958 * [backup-simplify]: Simplify (* 1/2 0) into 0 20.958 * [taylor]: Taking taylor expansion of 0 in M 20.958 * [backup-simplify]: Simplify 0 into 0 20.958 * [backup-simplify]: Simplify 0 into 0 20.958 * [backup-simplify]: Simplify (+ 0) into 0 20.959 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 20.959 * [backup-simplify]: Simplify (- 0) into 0 20.960 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.960 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 20.961 * [backup-simplify]: Simplify (+ 0 0) into 0 20.961 * [taylor]: Taking taylor expansion of 0 in M 20.961 * [backup-simplify]: Simplify 0 into 0 20.961 * [backup-simplify]: Simplify 0 into 0 20.962 * [backup-simplify]: Simplify (- 1) into -1 20.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 20.962 * [backup-simplify]: Simplify -1 into -1 20.963 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 20.963 * [backup-simplify]: Simplify (+ (* (sin (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (sin (- M))))) 20.964 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 20.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 20.965 * [backup-simplify]: Simplify (- 0) into 0 20.966 * [backup-simplify]: Simplify (+ 0 0) into 0 20.966 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.967 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 20.967 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (sin (- M))))) 0) into (- (* 1/8 (* (pow K 2) (sin (- M))))) 20.967 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (sin (- M))))) in K 20.967 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (sin (- M)))) in K 20.967 * [taylor]: Taking taylor expansion of 1/8 in K 20.967 * [backup-simplify]: Simplify 1/8 into 1/8 20.967 * [taylor]: Taking taylor expansion of (* (pow K 2) (sin (- M))) in K 20.967 * [taylor]: Taking taylor expansion of (pow K 2) in K 20.968 * [taylor]: Taking taylor expansion of K in K 20.968 * [backup-simplify]: Simplify 0 into 0 20.968 * [backup-simplify]: Simplify 1 into 1 20.968 * [taylor]: Taking taylor expansion of (sin (- M)) in K 20.968 * [taylor]: Taking taylor expansion of (- M) in K 20.968 * [taylor]: Taking taylor expansion of M in K 20.968 * [backup-simplify]: Simplify M into M 20.968 * [backup-simplify]: Simplify (- M) into (- M) 20.968 * [backup-simplify]: Simplify (- M) into (- M) 20.968 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.968 * [backup-simplify]: Simplify (- M) into (- M) 20.968 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.969 * [backup-simplify]: Simplify (+ 0) into 0 20.969 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 20.970 * [backup-simplify]: Simplify (- 0) into 0 20.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.971 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 20.971 * [backup-simplify]: Simplify (- 0) into 0 20.972 * [backup-simplify]: Simplify (+ 0 0) into 0 20.972 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (- M)))) into (cos (- M)) 20.973 * [backup-simplify]: Simplify (+ (* 1/2 (cos (- M))) (* 0 0)) into (* 1/2 (cos (- M))) 20.973 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- M))) in M 20.973 * [taylor]: Taking taylor expansion of 1/2 in M 20.973 * [backup-simplify]: Simplify 1/2 into 1/2 20.973 * [taylor]: Taking taylor expansion of (cos (- M)) in M 20.973 * [taylor]: Taking taylor expansion of (- M) in M 20.973 * [taylor]: Taking taylor expansion of M in M 20.973 * [backup-simplify]: Simplify 0 into 0 20.973 * [backup-simplify]: Simplify 1 into 1 20.973 * [backup-simplify]: Simplify (- 0) into 0 20.973 * [backup-simplify]: Simplify (- 1) into -1 20.974 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.974 * [backup-simplify]: Simplify 1/2 into 1/2 20.974 * [backup-simplify]: Simplify (- 0) into 0 20.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.976 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 20.976 * [backup-simplify]: Simplify (- 0) into 0 20.977 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.978 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 20.978 * [backup-simplify]: Simplify (+ 0 0) into 0 20.978 * [taylor]: Taking taylor expansion of 0 in M 20.978 * [backup-simplify]: Simplify 0 into 0 20.978 * [backup-simplify]: Simplify 0 into 0 20.978 * [backup-simplify]: Simplify 0 into 0 20.978 * [backup-simplify]: Simplify 0 into 0 20.979 * [backup-simplify]: Simplify (- 0) into 0 20.979 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.980 * [backup-simplify]: Simplify 0 into 0 20.980 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.981 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1)))) into 0 20.982 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 K) (* 0 0)))) into 0 20.988 * [backup-simplify]: Simplify (- 0) into 0 20.989 * [backup-simplify]: Simplify (+ 0 0) into 0 20.990 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/48 (pow K 3))) 20.991 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/48 (pow K 3)))) (+ (* 0 0) (+ (* 0 (* 1/2 K)) (* 0 0)))) into (- (* 1/48 (* (pow K 3) (cos (- M))))) 20.991 * [backup-simplify]: Simplify (+ 0 (- (* 1/48 (* (pow K 3) (cos (- M)))))) into (- (* 1/48 (* (pow K 3) (cos (- M))))) 20.992 * [taylor]: Taking taylor expansion of (- (* 1/48 (* (pow K 3) (cos (- M))))) in K 20.992 * [taylor]: Taking taylor expansion of (* 1/48 (* (pow K 3) (cos (- M)))) in K 20.992 * [taylor]: Taking taylor expansion of 1/48 in K 20.992 * [backup-simplify]: Simplify 1/48 into 1/48 20.992 * [taylor]: Taking taylor expansion of (* (pow K 3) (cos (- M))) in K 20.992 * [taylor]: Taking taylor expansion of (pow K 3) in K 20.992 * [taylor]: Taking taylor expansion of K in K 20.992 * [backup-simplify]: Simplify 0 into 0 20.992 * [backup-simplify]: Simplify 1 into 1 20.992 * [taylor]: Taking taylor expansion of (cos (- M)) in K 20.992 * [taylor]: Taking taylor expansion of (- M) in K 20.992 * [taylor]: Taking taylor expansion of M in K 20.992 * [backup-simplify]: Simplify M into M 20.992 * [backup-simplify]: Simplify (- M) into (- M) 20.992 * [backup-simplify]: Simplify (- M) into (- M) 20.992 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 20.992 * [backup-simplify]: Simplify (- M) into (- M) 20.992 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 20.993 * [backup-simplify]: Simplify (- 0) into 0 20.994 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.994 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 20.995 * [backup-simplify]: Simplify (- 0) into 0 20.995 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.996 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 20.996 * [backup-simplify]: Simplify (- 0) into 0 20.997 * [backup-simplify]: Simplify (+ 0 0) into 0 20.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (- M))))) into 0 20.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (cos (- M))) (* 0 0))) into 0 20.999 * [taylor]: Taking taylor expansion of 0 in M 20.999 * [backup-simplify]: Simplify 0 into 0 20.999 * [backup-simplify]: Simplify 0 into 0 20.999 * [backup-simplify]: Simplify (- 0) into 0 20.999 * [backup-simplify]: Simplify (- 0) into 0 21.000 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 21.001 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.002 * [backup-simplify]: Simplify (- 0) into 0 21.002 * [backup-simplify]: Simplify (- 0) into 0 21.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 21.004 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 21.005 * [backup-simplify]: Simplify (+ 0 0) into 0 21.005 * [taylor]: Taking taylor expansion of 0 in M 21.005 * [backup-simplify]: Simplify 0 into 0 21.005 * [backup-simplify]: Simplify 0 into 0 21.005 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (* K n))) (* -1 (* M (* 1 1)))) into (- (* 1/2 (* K n)) M) 21.006 * [backup-simplify]: Simplify (sin (- (* (/ 1 n) (/ (/ 1 K) 2)) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 21.006 * [approximate]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in (n K M) around 0 21.006 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in M 21.006 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in M 21.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 21.006 * [taylor]: Taking taylor expansion of 1/2 in M 21.006 * [backup-simplify]: Simplify 1/2 into 1/2 21.006 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 21.006 * [taylor]: Taking taylor expansion of (* K n) in M 21.006 * [taylor]: Taking taylor expansion of K in M 21.006 * [backup-simplify]: Simplify K into K 21.006 * [taylor]: Taking taylor expansion of n in M 21.006 * [backup-simplify]: Simplify n into n 21.006 * [backup-simplify]: Simplify (* K n) into (* K n) 21.006 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 21.006 * [taylor]: Taking taylor expansion of (/ 1 M) in M 21.006 * [taylor]: Taking taylor expansion of M in M 21.006 * [backup-simplify]: Simplify 0 into 0 21.006 * [backup-simplify]: Simplify 1 into 1 21.007 * [backup-simplify]: Simplify (/ 1 1) into 1 21.007 * [backup-simplify]: Simplify (- 1) into -1 21.007 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.008 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 21.008 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in K 21.008 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in K 21.008 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 21.008 * [taylor]: Taking taylor expansion of 1/2 in K 21.008 * [backup-simplify]: Simplify 1/2 into 1/2 21.008 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 21.008 * [taylor]: Taking taylor expansion of (* K n) in K 21.008 * [taylor]: Taking taylor expansion of K in K 21.008 * [backup-simplify]: Simplify 0 into 0 21.008 * [backup-simplify]: Simplify 1 into 1 21.008 * [taylor]: Taking taylor expansion of n in K 21.008 * [backup-simplify]: Simplify n into n 21.008 * [backup-simplify]: Simplify (* 0 n) into 0 21.008 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 21.008 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 21.008 * [taylor]: Taking taylor expansion of (/ 1 M) in K 21.008 * [taylor]: Taking taylor expansion of M in K 21.008 * [backup-simplify]: Simplify M into M 21.008 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 21.009 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 21.009 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 21.009 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 21.009 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in n 21.009 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 21.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 21.009 * [taylor]: Taking taylor expansion of 1/2 in n 21.009 * [backup-simplify]: Simplify 1/2 into 1/2 21.009 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 21.009 * [taylor]: Taking taylor expansion of (* K n) in n 21.009 * [taylor]: Taking taylor expansion of K in n 21.009 * [backup-simplify]: Simplify K into K 21.009 * [taylor]: Taking taylor expansion of n in n 21.009 * [backup-simplify]: Simplify 0 into 0 21.009 * [backup-simplify]: Simplify 1 into 1 21.009 * [backup-simplify]: Simplify (* K 0) into 0 21.010 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 21.010 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 21.010 * [taylor]: Taking taylor expansion of (/ 1 M) in n 21.010 * [taylor]: Taking taylor expansion of M in n 21.010 * [backup-simplify]: Simplify M into M 21.010 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 21.010 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 21.010 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 21.010 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 21.010 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in n 21.010 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 21.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 21.010 * [taylor]: Taking taylor expansion of 1/2 in n 21.010 * [backup-simplify]: Simplify 1/2 into 1/2 21.010 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 21.010 * [taylor]: Taking taylor expansion of (* K n) in n 21.010 * [taylor]: Taking taylor expansion of K in n 21.010 * [backup-simplify]: Simplify K into K 21.010 * [taylor]: Taking taylor expansion of n in n 21.011 * [backup-simplify]: Simplify 0 into 0 21.011 * [backup-simplify]: Simplify 1 into 1 21.011 * [backup-simplify]: Simplify (* K 0) into 0 21.011 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 21.011 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 21.011 * [taylor]: Taking taylor expansion of (/ 1 M) in n 21.011 * [taylor]: Taking taylor expansion of M in n 21.011 * [backup-simplify]: Simplify M into M 21.011 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 21.011 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 21.011 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 21.012 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 21.012 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in K 21.012 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in K 21.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 21.012 * [taylor]: Taking taylor expansion of 1/2 in K 21.012 * [backup-simplify]: Simplify 1/2 into 1/2 21.012 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 21.012 * [taylor]: Taking taylor expansion of (* K n) in K 21.012 * [taylor]: Taking taylor expansion of K in K 21.012 * [backup-simplify]: Simplify 0 into 0 21.012 * [backup-simplify]: Simplify 1 into 1 21.012 * [taylor]: Taking taylor expansion of n in K 21.012 * [backup-simplify]: Simplify n into n 21.012 * [backup-simplify]: Simplify (* 0 n) into 0 21.012 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 21.012 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 21.013 * [taylor]: Taking taylor expansion of (/ 1 M) in K 21.013 * [taylor]: Taking taylor expansion of M in K 21.013 * [backup-simplify]: Simplify M into M 21.013 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 21.013 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 21.013 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 21.013 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 21.013 * [taylor]: Taking taylor expansion of (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in M 21.013 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in M 21.013 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 21.013 * [taylor]: Taking taylor expansion of 1/2 in M 21.013 * [backup-simplify]: Simplify 1/2 into 1/2 21.013 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 21.013 * [taylor]: Taking taylor expansion of (* K n) in M 21.013 * [taylor]: Taking taylor expansion of K in M 21.013 * [backup-simplify]: Simplify K into K 21.013 * [taylor]: Taking taylor expansion of n in M 21.013 * [backup-simplify]: Simplify n into n 21.013 * [backup-simplify]: Simplify (* K n) into (* K n) 21.013 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 21.013 * [taylor]: Taking taylor expansion of (/ 1 M) in M 21.013 * [taylor]: Taking taylor expansion of M in M 21.013 * [backup-simplify]: Simplify 0 into 0 21.013 * [backup-simplify]: Simplify 1 into 1 21.014 * [backup-simplify]: Simplify (/ 1 1) into 1 21.014 * [backup-simplify]: Simplify (- 1) into -1 21.015 * [backup-simplify]: Simplify (+ 0 -1) into -1 21.015 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 21.015 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (sin (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 21.015 * [taylor]: Taking taylor expansion of 0 in K 21.015 * [backup-simplify]: Simplify 0 into 0 21.015 * [taylor]: Taking taylor expansion of 0 in M 21.015 * [backup-simplify]: Simplify 0 into 0 21.015 * [backup-simplify]: Simplify 0 into 0 21.015 * [taylor]: Taking taylor expansion of 0 in M 21.015 * [backup-simplify]: Simplify 0 into 0 21.015 * [backup-simplify]: Simplify 0 into 0 21.015 * [backup-simplify]: Simplify 0 into 0 21.016 * [taylor]: Taking taylor expansion of 0 in K 21.016 * [backup-simplify]: Simplify 0 into 0 21.016 * [taylor]: Taking taylor expansion of 0 in M 21.016 * [backup-simplify]: Simplify 0 into 0 21.016 * [backup-simplify]: Simplify 0 into 0 21.016 * [taylor]: Taking taylor expansion of 0 in M 21.016 * [backup-simplify]: Simplify 0 into 0 21.016 * [backup-simplify]: Simplify 0 into 0 21.016 * [taylor]: Taking taylor expansion of 0 in M 21.016 * [backup-simplify]: Simplify 0 into 0 21.016 * [backup-simplify]: Simplify 0 into 0 21.016 * [backup-simplify]: Simplify (sin (- (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n)))) (/ 1 (/ 1 M)))) into (sin (- (* 1/2 (* K n)) M)) 21.016 * [backup-simplify]: Simplify (sin (- (* (/ 1 (- n)) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 21.016 * [approximate]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in (n K M) around 0 21.016 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in M 21.016 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in M 21.017 * [taylor]: Taking taylor expansion of (/ 1 M) in M 21.017 * [taylor]: Taking taylor expansion of M in M 21.017 * [backup-simplify]: Simplify 0 into 0 21.017 * [backup-simplify]: Simplify 1 into 1 21.017 * [backup-simplify]: Simplify (/ 1 1) into 1 21.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 21.017 * [taylor]: Taking taylor expansion of 1/2 in M 21.017 * [backup-simplify]: Simplify 1/2 into 1/2 21.017 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 21.017 * [taylor]: Taking taylor expansion of (* K n) in M 21.017 * [taylor]: Taking taylor expansion of K in M 21.017 * [backup-simplify]: Simplify K into K 21.017 * [taylor]: Taking taylor expansion of n in M 21.017 * [backup-simplify]: Simplify n into n 21.017 * [backup-simplify]: Simplify (* K n) into (* K n) 21.017 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 21.018 * [backup-simplify]: Simplify (+ 1 0) into 1 21.018 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 21.018 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in K 21.018 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in K 21.018 * [taylor]: Taking taylor expansion of (/ 1 M) in K 21.018 * [taylor]: Taking taylor expansion of M in K 21.018 * [backup-simplify]: Simplify M into M 21.018 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 21.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 21.018 * [taylor]: Taking taylor expansion of 1/2 in K 21.018 * [backup-simplify]: Simplify 1/2 into 1/2 21.018 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 21.018 * [taylor]: Taking taylor expansion of (* K n) in K 21.018 * [taylor]: Taking taylor expansion of K in K 21.019 * [backup-simplify]: Simplify 0 into 0 21.019 * [backup-simplify]: Simplify 1 into 1 21.019 * [taylor]: Taking taylor expansion of n in K 21.019 * [backup-simplify]: Simplify n into n 21.019 * [backup-simplify]: Simplify (* 0 n) into 0 21.019 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 21.019 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 21.019 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 21.020 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 21.020 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 21.020 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in n 21.020 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 21.020 * [taylor]: Taking taylor expansion of (/ 1 M) in n 21.020 * [taylor]: Taking taylor expansion of M in n 21.020 * [backup-simplify]: Simplify M into M 21.020 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 21.020 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 21.020 * [taylor]: Taking taylor expansion of 1/2 in n 21.020 * [backup-simplify]: Simplify 1/2 into 1/2 21.020 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 21.020 * [taylor]: Taking taylor expansion of (* K n) in n 21.020 * [taylor]: Taking taylor expansion of K in n 21.020 * [backup-simplify]: Simplify K into K 21.020 * [taylor]: Taking taylor expansion of n in n 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [backup-simplify]: Simplify 1 into 1 21.020 * [backup-simplify]: Simplify (* K 0) into 0 21.021 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 21.021 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 21.021 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 21.021 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 21.021 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 21.021 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in n 21.021 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 21.021 * [taylor]: Taking taylor expansion of (/ 1 M) in n 21.021 * [taylor]: Taking taylor expansion of M in n 21.021 * [backup-simplify]: Simplify M into M 21.021 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 21.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 21.021 * [taylor]: Taking taylor expansion of 1/2 in n 21.021 * [backup-simplify]: Simplify 1/2 into 1/2 21.021 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 21.021 * [taylor]: Taking taylor expansion of (* K n) in n 21.021 * [taylor]: Taking taylor expansion of K in n 21.021 * [backup-simplify]: Simplify K into K 21.021 * [taylor]: Taking taylor expansion of n in n 21.021 * [backup-simplify]: Simplify 0 into 0 21.022 * [backup-simplify]: Simplify 1 into 1 21.022 * [backup-simplify]: Simplify (* K 0) into 0 21.022 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 21.022 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 21.022 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 21.022 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 21.022 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 21.022 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in K 21.022 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in K 21.023 * [taylor]: Taking taylor expansion of (/ 1 M) in K 21.023 * [taylor]: Taking taylor expansion of M in K 21.023 * [backup-simplify]: Simplify M into M 21.023 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 21.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 21.023 * [taylor]: Taking taylor expansion of 1/2 in K 21.023 * [backup-simplify]: Simplify 1/2 into 1/2 21.023 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 21.023 * [taylor]: Taking taylor expansion of (* K n) in K 21.023 * [taylor]: Taking taylor expansion of K in K 21.023 * [backup-simplify]: Simplify 0 into 0 21.023 * [backup-simplify]: Simplify 1 into 1 21.023 * [taylor]: Taking taylor expansion of n in K 21.023 * [backup-simplify]: Simplify n into n 21.023 * [backup-simplify]: Simplify (* 0 n) into 0 21.023 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 21.023 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 21.023 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 21.024 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 21.024 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 21.024 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in M 21.024 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in M 21.024 * [taylor]: Taking taylor expansion of (/ 1 M) in M 21.024 * [taylor]: Taking taylor expansion of M in M 21.024 * [backup-simplify]: Simplify 0 into 0 21.024 * [backup-simplify]: Simplify 1 into 1 21.024 * [backup-simplify]: Simplify (/ 1 1) into 1 21.024 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 21.024 * [taylor]: Taking taylor expansion of 1/2 in M 21.024 * [backup-simplify]: Simplify 1/2 into 1/2 21.024 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 21.024 * [taylor]: Taking taylor expansion of (* K n) in M 21.024 * [taylor]: Taking taylor expansion of K in M 21.024 * [backup-simplify]: Simplify K into K 21.025 * [taylor]: Taking taylor expansion of n in M 21.025 * [backup-simplify]: Simplify n into n 21.025 * [backup-simplify]: Simplify (* K n) into (* K n) 21.025 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 21.025 * [backup-simplify]: Simplify (+ 1 0) into 1 21.025 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 21.025 * [backup-simplify]: Simplify (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (sin (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 21.026 * [taylor]: Taking taylor expansion of 0 in K 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [taylor]: Taking taylor expansion of 0 in M 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [taylor]: Taking taylor expansion of 0 in M 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [taylor]: Taking taylor expansion of 0 in K 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [taylor]: Taking taylor expansion of 0 in M 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [taylor]: Taking taylor expansion of 0 in M 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [taylor]: Taking taylor expansion of 0 in M 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [backup-simplify]: Simplify 0 into 0 21.026 * [backup-simplify]: Simplify (sin (+ (/ 1 (/ 1 (- M))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n))))))) into (sin (- (* 1/2 (* K n)) M)) 21.027 * * * [progress]: simplifying candidates 21.027 * * * * [progress]: [ 1 / 64 ] simplifiying candidate # 21.027 * * * * [progress]: [ 2 / 64 ] simplifiying candidate # 21.027 * * * * [progress]: [ 3 / 64 ] simplifiying candidate # 21.027 * * * * [progress]: [ 4 / 64 ] simplifiying candidate # 21.027 * * * * [progress]: [ 5 / 64 ] simplifiying candidate # 21.027 * * * * [progress]: [ 6 / 64 ] simplifiying candidate # 21.027 * * * * [progress]: [ 7 / 64 ] simplifiying candidate # 21.027 * * * * [progress]: [ 8 / 64 ] simplifiying candidate # 21.027 * * * * [progress]: [ 9 / 64 ] simplifiying candidate # 21.027 * * * * [progress]: [ 10 / 64 ] simplifiying candidate #real (real->posit16 (cos (* m (/ K 2))))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 21.027 * * * * [progress]: [ 11 / 64 ] simplifiying candidate # 21.027 * * * * [progress]: [ 12 / 64 ] simplifiying candidate # 21.028 * * * * [progress]: [ 13 / 64 ] simplifiying candidate # 21.028 * * * * [progress]: [ 14 / 64 ] simplifiying candidate # 21.028 * * * * [progress]: [ 15 / 64 ] simplifiying candidate # 21.028 * * * * [progress]: [ 16 / 64 ] simplifiying candidate # 21.028 * * * * [progress]: [ 17 / 64 ] simplifiying candidate # 21.028 * * * * [progress]: [ 18 / 64 ] simplifiying candidate # 21.028 * * * * [progress]: [ 19 / 64 ] simplifiying candidate # 21.028 * * * * [progress]: [ 20 / 64 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 21.028 * * * * [progress]: [ 21 / 64 ] simplifiying candidate # 21.028 * * * * [progress]: [ 22 / 64 ] simplifiying candidate # 21.028 * * * * [progress]: [ 23 / 64 ] simplifiying candidate # 21.029 * [simplify]: Simplifying (* (cos (fma n (/ K 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) 21.029 * * [simplify]: iters left: 6 (15 enodes) 21.036 * * [simplify]: iters left: 5 (55 enodes) 21.053 * * [simplify]: iters left: 4 (70 enodes) 21.072 * * [simplify]: iters left: 3 (82 enodes) 21.089 * * [simplify]: iters left: 2 (86 enodes) 21.099 * * [simplify]: iters left: 1 (90 enodes) 21.116 * * [simplify]: Extracting #0: cost 1 inf + 0 21.116 * * [simplify]: Extracting #1: cost 4 inf + 0 21.116 * * [simplify]: Extracting #2: cost 8 inf + 0 21.116 * * [simplify]: Extracting #3: cost 19 inf + 0 21.116 * * [simplify]: Extracting #4: cost 29 inf + 83 21.117 * * [simplify]: Extracting #5: cost 19 inf + 1240 21.118 * * [simplify]: Extracting #6: cost 7 inf + 2124 21.119 * * [simplify]: Extracting #7: cost 1 inf + 3064 21.121 * * [simplify]: Extracting #8: cost 0 inf + 3428 21.122 * [simplify]: Simplified to (* (cos (- (* (/ K 2) n) M)) (cos (+ (- M) M))) 21.122 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos (- (* (/ K 2) n) M)) (cos (+ (- M) M))) (* (sin (fma n (/ K 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.123 * * * * [progress]: [ 24 / 64 ] simplifiying candidate # 21.123 * [simplify]: Simplifying (* (cos (fma n (/ K 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) 21.123 * * [simplify]: iters left: 6 (14 enodes) 21.133 * * [simplify]: iters left: 5 (45 enodes) 21.146 * * [simplify]: iters left: 4 (55 enodes) 21.161 * * [simplify]: iters left: 3 (65 enodes) 21.177 * * [simplify]: iters left: 2 (70 enodes) 21.195 * * [simplify]: iters left: 1 (75 enodes) 21.215 * * [simplify]: Extracting #0: cost 1 inf + 0 21.215 * * [simplify]: Extracting #1: cost 4 inf + 0 21.215 * * [simplify]: Extracting #2: cost 5 inf + 1 21.215 * * [simplify]: Extracting #3: cost 13 inf + 1 21.215 * * [simplify]: Extracting #4: cost 20 inf + 85 21.215 * * [simplify]: Extracting #5: cost 15 inf + 457 21.216 * * [simplify]: Extracting #6: cost 3 inf + 1450 21.217 * * [simplify]: Extracting #7: cost 0 inf + 1983 21.218 * [simplify]: Simplified to (* (cos (- (/ n (/ 2 K)) M)) 1) 21.218 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos (- (/ n (/ 2 K)) M)) 1) (* (sin (fma n (/ K 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.218 * * * * [progress]: [ 25 / 64 ] simplifiying candidate # 21.219 * [simplify]: Simplifying (* (cos (fma n (/ K 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) 21.219 * * [simplify]: iters left: 6 (14 enodes) 21.225 * * [simplify]: iters left: 5 (45 enodes) 21.240 * * [simplify]: iters left: 4 (59 enodes) 21.257 * * [simplify]: iters left: 3 (70 enodes) 21.266 * * [simplify]: iters left: 2 (76 enodes) 21.278 * * [simplify]: iters left: 1 (80 enodes) 21.288 * * [simplify]: Extracting #0: cost 1 inf + 0 21.288 * * [simplify]: Extracting #1: cost 4 inf + 0 21.288 * * [simplify]: Extracting #2: cost 8 inf + 0 21.288 * * [simplify]: Extracting #3: cost 16 inf + 0 21.288 * * [simplify]: Extracting #4: cost 20 inf + 125 21.288 * * [simplify]: Extracting #5: cost 16 inf + 516 21.288 * * [simplify]: Extracting #6: cost 4 inf + 1788 21.289 * * [simplify]: Extracting #7: cost 0 inf + 2461 21.289 * [simplify]: Simplified to (* (cos (- (/ K (/ 2 n)) M)) (cos (+ (- M) M))) 21.289 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos (- (/ K (/ 2 n)) M)) (cos (+ (- M) M))) (* (sin (fma n (/ K 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.290 * * * * [progress]: [ 26 / 64 ] simplifiying candidate # 21.290 * [simplify]: Simplifying (* (cos (* n (/ K 2))) (cos (- M))) 21.290 * * [simplify]: iters left: 6 (10 enodes) 21.293 * * [simplify]: iters left: 5 (35 enodes) 21.304 * * [simplify]: iters left: 4 (41 enodes) 21.315 * * [simplify]: iters left: 3 (45 enodes) 21.327 * * [simplify]: iters left: 2 (49 enodes) 21.341 * * [simplify]: iters left: 1 (52 enodes) 21.355 * * [simplify]: Extracting #0: cost 1 inf + 0 21.355 * * [simplify]: Extracting #1: cost 4 inf + 0 21.355 * * [simplify]: Extracting #2: cost 9 inf + 0 21.355 * * [simplify]: Extracting #3: cost 15 inf + 164 21.356 * * [simplify]: Extracting #4: cost 14 inf + 292 21.356 * * [simplify]: Extracting #5: cost 4 inf + 1056 21.357 * * [simplify]: Extracting #6: cost 0 inf + 1568 21.357 * [simplify]: Simplified to (* (cos M) (cos (* (/ K 2) n))) 21.357 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos M) (cos (* (/ K 2) n))) (* (sin (* n (/ K 2))) (sin (- M))))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.358 * * * * [progress]: [ 27 / 64 ] simplifiying candidate # 21.358 * [simplify]: Simplifying (* (cos (* n (/ K 2))) (cos (- M))) 21.358 * * [simplify]: iters left: 6 (10 enodes) 21.363 * * [simplify]: iters left: 5 (35 enodes) 21.373 * * [simplify]: iters left: 4 (41 enodes) 21.384 * * [simplify]: iters left: 3 (45 enodes) 21.397 * * [simplify]: iters left: 2 (49 enodes) 21.413 * * [simplify]: iters left: 1 (52 enodes) 21.427 * * [simplify]: Extracting #0: cost 1 inf + 0 21.427 * * [simplify]: Extracting #1: cost 4 inf + 0 21.427 * * [simplify]: Extracting #2: cost 9 inf + 0 21.427 * * [simplify]: Extracting #3: cost 15 inf + 164 21.428 * * [simplify]: Extracting #4: cost 14 inf + 292 21.428 * * [simplify]: Extracting #5: cost 4 inf + 1056 21.429 * * [simplify]: Extracting #6: cost 0 inf + 1568 21.430 * [simplify]: Simplified to (* (cos M) (cos (* (/ K 2) n))) 21.430 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos M) (cos (* (/ K 2) n))) (* (sin (* n (/ K 2))) (sin (- M))))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.430 * * * * [progress]: [ 28 / 64 ] simplifiying candidate # 21.430 * [simplify]: Simplifying (* (cos (* n (/ K 2))) (cos M)) 21.431 * * [simplify]: iters left: 6 (9 enodes) 21.435 * * [simplify]: iters left: 5 (31 enodes) 21.444 * * [simplify]: iters left: 4 (37 enodes) 21.452 * * [simplify]: iters left: 3 (41 enodes) 21.457 * * [simplify]: iters left: 2 (45 enodes) 21.464 * * [simplify]: iters left: 1 (48 enodes) 21.470 * * [simplify]: Extracting #0: cost 1 inf + 0 21.470 * * [simplify]: Extracting #1: cost 4 inf + 0 21.470 * * [simplify]: Extracting #2: cost 8 inf + 0 21.470 * * [simplify]: Extracting #3: cost 14 inf + 123 21.471 * * [simplify]: Extracting #4: cost 15 inf + 168 21.471 * * [simplify]: Extracting #5: cost 4 inf + 772 21.471 * * [simplify]: Extracting #6: cost 0 inf + 1486 21.471 * [simplify]: Simplified to (* (cos M) (cos (* (/ K 2) n))) 21.471 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (+ (* (cos M) (cos (* (/ K 2) n))) (* (sin (* n (/ K 2))) (sin M)))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.472 * * * * [progress]: [ 29 / 64 ] simplifiying candidate # 21.472 * * * * [progress]: [ 30 / 64 ] simplifiying candidate # 21.472 * * * * [progress]: [ 31 / 64 ] simplifiying candidate # 21.472 * * * * [progress]: [ 32 / 64 ] simplifiying candidate # 21.472 * * * * [progress]: [ 33 / 64 ] simplifiying candidate # 21.472 * * * * [progress]: [ 34 / 64 ] simplifiying candidate # 21.472 * * * * [progress]: [ 35 / 64 ] simplifiying candidate # 21.472 * * * * [progress]: [ 36 / 64 ] simplifiying candidate #real (real->posit16 (cos (- (* n (/ K 2)) M))))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 21.472 * * * * [progress]: [ 37 / 64 ] simplifiying candidate # 21.472 * * * * [progress]: [ 38 / 64 ] simplifiying candidate # 21.472 * * * * [progress]: [ 39 / 64 ] simplifiying candidate # 21.472 * [simplify]: Simplifying (* (sin (fma n (/ K 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) 21.473 * * [simplify]: iters left: 6 (15 enodes) 21.476 * * [simplify]: iters left: 5 (55 enodes) 21.493 * * [simplify]: iters left: 4 (70 enodes) 21.513 * * [simplify]: iters left: 3 (82 enodes) 21.536 * * [simplify]: iters left: 2 (86 enodes) 21.556 * * [simplify]: iters left: 1 (90 enodes) 21.578 * * [simplify]: Extracting #0: cost 1 inf + 0 21.578 * * [simplify]: Extracting #1: cost 4 inf + 0 21.578 * * [simplify]: Extracting #2: cost 8 inf + 0 21.578 * * [simplify]: Extracting #3: cost 19 inf + 0 21.579 * * [simplify]: Extracting #4: cost 29 inf + 83 21.579 * * [simplify]: Extracting #5: cost 19 inf + 1240 21.580 * * [simplify]: Extracting #6: cost 7 inf + 2124 21.580 * * [simplify]: Extracting #7: cost 1 inf + 3064 21.581 * * [simplify]: Extracting #8: cost 0 inf + 3428 21.582 * [simplify]: Simplified to (* (sin (- (* (/ K 2) n) M)) (cos (+ (- M) M))) 21.582 * [simplify]: Simplified (2 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (+ (* (sin (- (* (/ K 2) n) M)) (cos (+ (- M) M))) (* (cos (fma n (/ K 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M))))))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.582 * * * * [progress]: [ 40 / 64 ] simplifiying candidate # 21.582 * [simplify]: Simplifying (* (sin (fma n (/ K 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) 21.583 * * [simplify]: iters left: 6 (14 enodes) 21.586 * * [simplify]: iters left: 5 (45 enodes) 21.593 * * [simplify]: iters left: 4 (55 enodes) 21.600 * * [simplify]: iters left: 3 (65 enodes) 21.608 * * [simplify]: iters left: 2 (70 enodes) 21.623 * * [simplify]: iters left: 1 (75 enodes) 21.633 * * [simplify]: Extracting #0: cost 1 inf + 0 21.633 * * [simplify]: Extracting #1: cost 4 inf + 0 21.633 * * [simplify]: Extracting #2: cost 5 inf + 1 21.633 * * [simplify]: Extracting #3: cost 13 inf + 1 21.633 * * [simplify]: Extracting #4: cost 20 inf + 85 21.633 * * [simplify]: Extracting #5: cost 15 inf + 457 21.634 * * [simplify]: Extracting #6: cost 3 inf + 1450 21.634 * * [simplify]: Extracting #7: cost 0 inf + 1983 21.635 * [simplify]: Simplified to (* (sin (- (/ n (/ 2 K)) M)) 1) 21.635 * [simplify]: Simplified (2 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (+ (* (sin (- (/ n (/ 2 K)) M)) 1) (* (cos (fma n (/ K 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M)))))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.635 * * * * [progress]: [ 41 / 64 ] simplifiying candidate # 21.635 * [simplify]: Simplifying (* (sin (fma n (/ K 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) 21.635 * * [simplify]: iters left: 6 (14 enodes) 21.641 * * [simplify]: iters left: 5 (45 enodes) 21.648 * * [simplify]: iters left: 4 (59 enodes) 21.663 * * [simplify]: iters left: 3 (70 enodes) 21.676 * * [simplify]: iters left: 2 (76 enodes) 21.686 * * [simplify]: iters left: 1 (80 enodes) 21.696 * * [simplify]: Extracting #0: cost 1 inf + 0 21.696 * * [simplify]: Extracting #1: cost 4 inf + 0 21.696 * * [simplify]: Extracting #2: cost 8 inf + 0 21.696 * * [simplify]: Extracting #3: cost 16 inf + 0 21.696 * * [simplify]: Extracting #4: cost 20 inf + 125 21.696 * * [simplify]: Extracting #5: cost 16 inf + 516 21.696 * * [simplify]: Extracting #6: cost 4 inf + 1788 21.697 * * [simplify]: Extracting #7: cost 0 inf + 2461 21.697 * [simplify]: Simplified to (* (sin (- (/ K (/ 2 n)) M)) (cos (+ (- M) M))) 21.697 * [simplify]: Simplified (2 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (+ (* (sin (- (/ K (/ 2 n)) M)) (cos (+ (- M) M))) (* (cos (fma n (/ K 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1))))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.698 * * * * [progress]: [ 42 / 64 ] simplifiying candidate # 21.698 * [simplify]: Simplifying (* (sin (* n (/ K 2))) (cos (- M))) 21.698 * * [simplify]: iters left: 6 (10 enodes) 21.701 * * [simplify]: iters left: 5 (35 enodes) 21.711 * * [simplify]: iters left: 4 (41 enodes) 21.722 * * [simplify]: iters left: 3 (45 enodes) 21.734 * * [simplify]: iters left: 2 (49 enodes) 21.745 * * [simplify]: iters left: 1 (52 enodes) 21.754 * * [simplify]: Extracting #0: cost 1 inf + 0 21.754 * * [simplify]: Extracting #1: cost 4 inf + 0 21.754 * * [simplify]: Extracting #2: cost 9 inf + 0 21.755 * * [simplify]: Extracting #3: cost 15 inf + 164 21.755 * * [simplify]: Extracting #4: cost 14 inf + 292 21.755 * * [simplify]: Extracting #5: cost 4 inf + 1056 21.755 * * [simplify]: Extracting #6: cost 0 inf + 1568 21.756 * [simplify]: Simplified to (* (cos M) (sin (* (/ K 2) n))) 21.756 * [simplify]: Simplified (2 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (+ (* (cos M) (sin (* (/ K 2) n))) (* (cos (* n (/ K 2))) (sin (- M)))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.756 * * * * [progress]: [ 43 / 64 ] simplifiying candidate # 21.756 * [simplify]: Simplifying (* (sin (* n (/ K 2))) (cos (- M))) 21.756 * * [simplify]: iters left: 6 (10 enodes) 21.759 * * [simplify]: iters left: 5 (35 enodes) 21.764 * * [simplify]: iters left: 4 (41 enodes) 21.769 * * [simplify]: iters left: 3 (45 enodes) 21.780 * * [simplify]: iters left: 2 (49 enodes) 21.792 * * [simplify]: iters left: 1 (52 enodes) 21.805 * * [simplify]: Extracting #0: cost 1 inf + 0 21.805 * * [simplify]: Extracting #1: cost 4 inf + 0 21.805 * * [simplify]: Extracting #2: cost 9 inf + 0 21.805 * * [simplify]: Extracting #3: cost 15 inf + 164 21.805 * * [simplify]: Extracting #4: cost 14 inf + 292 21.806 * * [simplify]: Extracting #5: cost 4 inf + 1056 21.806 * * [simplify]: Extracting #6: cost 0 inf + 1568 21.806 * [simplify]: Simplified to (* (cos M) (sin (* (/ K 2) n))) 21.806 * [simplify]: Simplified (2 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (+ (* (cos M) (sin (* (/ K 2) n))) (* (cos (* n (/ K 2))) (sin (- M)))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.807 * * * * [progress]: [ 44 / 64 ] simplifiying candidate # 21.807 * [simplify]: Simplifying (* (sin (* n (/ K 2))) (cos M)) 21.807 * * [simplify]: iters left: 6 (9 enodes) 21.809 * * [simplify]: iters left: 5 (31 enodes) 21.814 * * [simplify]: iters left: 4 (37 enodes) 21.819 * * [simplify]: iters left: 3 (41 enodes) 21.824 * * [simplify]: iters left: 2 (45 enodes) 21.837 * * [simplify]: iters left: 1 (48 enodes) 21.845 * * [simplify]: Extracting #0: cost 1 inf + 0 21.845 * * [simplify]: Extracting #1: cost 4 inf + 0 21.845 * * [simplify]: Extracting #2: cost 8 inf + 0 21.845 * * [simplify]: Extracting #3: cost 14 inf + 123 21.845 * * [simplify]: Extracting #4: cost 15 inf + 168 21.845 * * [simplify]: Extracting #5: cost 4 inf + 772 21.845 * * [simplify]: Extracting #6: cost 0 inf + 1486 21.846 * [simplify]: Simplified to (* (cos M) (sin (* (/ K 2) n))) 21.846 * [simplify]: Simplified (2 1 2 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (- (* (cos M) (sin (* (/ K 2) n))) (* (cos (* n (/ K 2))) (sin M))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.846 * * * * [progress]: [ 45 / 64 ] simplifiying candidate # 21.846 * * * * [progress]: [ 46 / 64 ] simplifiying candidate # 21.846 * * * * [progress]: [ 47 / 64 ] simplifiying candidate # 21.846 * * * * [progress]: [ 48 / 64 ] simplifiying candidate # 21.846 * * * * [progress]: [ 49 / 64 ] simplifiying candidate # 21.846 * * * * [progress]: [ 50 / 64 ] simplifiying candidate # 21.846 * * * * [progress]: [ 51 / 64 ] simplifiying candidate # 21.846 * * * * [progress]: [ 52 / 64 ] simplifiying candidate #real (real->posit16 (sin (- (* n (/ K 2)) M)))))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 21.846 * * * * [progress]: [ 53 / 64 ] simplifiying candidate # 21.847 * [simplify]: Simplifying 1 21.847 * * [simplify]: iters left: 0 (1 enodes) 21.847 * * [simplify]: Extracting #0: cost 1 inf + 0 21.847 * * [simplify]: Extracting #1: cost 0 inf + 1 21.847 * [simplify]: Simplified to 1 21.847 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (- (* 1 (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.847 * * * * [progress]: [ 54 / 64 ] simplifiying candidate # 21.848 * [simplify]: Simplifying (cos (* 1/2 (* m K))) 21.848 * * [simplify]: iters left: 5 (6 enodes) 21.849 * * [simplify]: iters left: 4 (22 enodes) 21.854 * * [simplify]: iters left: 3 (30 enodes) 21.858 * * [simplify]: iters left: 2 (35 enodes) 21.863 * * [simplify]: Extracting #0: cost 1 inf + 0 21.863 * * [simplify]: Extracting #1: cost 3 inf + 0 21.863 * * [simplify]: Extracting #2: cost 10 inf + 0 21.863 * * [simplify]: Extracting #3: cost 10 inf + 3 21.863 * * [simplify]: Extracting #4: cost 6 inf + 171 21.863 * * [simplify]: Extracting #5: cost 1 inf + 564 21.863 * * [simplify]: Extracting #6: cost 0 inf + 707 21.863 * [simplify]: Simplified to (cos (* (* K m) 1/2)) 21.864 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (- (* (cos (* (* K m) 1/2)) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.864 * * * * [progress]: [ 55 / 64 ] simplifiying candidate # 21.864 * [simplify]: Simplifying (cos (* 1/2 (* m K))) 21.864 * * [simplify]: iters left: 5 (6 enodes) 21.866 * * [simplify]: iters left: 4 (22 enodes) 21.870 * * [simplify]: iters left: 3 (30 enodes) 21.878 * * [simplify]: iters left: 2 (35 enodes) 21.887 * * [simplify]: Extracting #0: cost 1 inf + 0 21.887 * * [simplify]: Extracting #1: cost 3 inf + 0 21.887 * * [simplify]: Extracting #2: cost 10 inf + 0 21.887 * * [simplify]: Extracting #3: cost 10 inf + 3 21.887 * * [simplify]: Extracting #4: cost 6 inf + 171 21.888 * * [simplify]: Extracting #5: cost 1 inf + 564 21.888 * * [simplify]: Extracting #6: cost 0 inf + 707 21.888 * [simplify]: Simplified to (cos (* (* K m) 1/2)) 21.889 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (- (* (cos (* (* K m) 1/2)) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.889 * * * * [progress]: [ 56 / 64 ] simplifiying candidate # 21.889 * [simplify]: Simplifying (* 1/2 (* K m)) 21.889 * * [simplify]: iters left: 4 (5 enodes) 21.892 * * [simplify]: iters left: 3 (19 enodes) 21.899 * * [simplify]: iters left: 2 (27 enodes) 21.907 * * [simplify]: iters left: 1 (32 enodes) 21.915 * * [simplify]: Extracting #0: cost 1 inf + 0 21.915 * * [simplify]: Extracting #1: cost 8 inf + 0 21.915 * * [simplify]: Extracting #2: cost 7 inf + 45 21.915 * * [simplify]: Extracting #3: cost 0 inf + 421 21.916 * [simplify]: Simplified to (* (* m K) 1/2) 21.916 * [simplify]: Simplified (2 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (* (* m K) 1/2) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.916 * * * * [progress]: [ 57 / 64 ] simplifiying candidate # 21.917 * [simplify]: Simplifying (sin (* 1/2 (* m K))) 21.917 * * [simplify]: iters left: 5 (6 enodes) 21.920 * * [simplify]: iters left: 4 (22 enodes) 21.925 * * [simplify]: iters left: 3 (30 enodes) 21.930 * * [simplify]: iters left: 2 (35 enodes) 21.934 * * [simplify]: Extracting #0: cost 1 inf + 0 21.934 * * [simplify]: Extracting #1: cost 3 inf + 0 21.935 * * [simplify]: Extracting #2: cost 10 inf + 0 21.935 * * [simplify]: Extracting #3: cost 10 inf + 3 21.935 * * [simplify]: Extracting #4: cost 6 inf + 171 21.935 * * [simplify]: Extracting #5: cost 1 inf + 564 21.935 * * [simplify]: Extracting #6: cost 0 inf + 707 21.935 * [simplify]: Simplified to (sin (* (* K m) 1/2)) 21.935 * [simplify]: Simplified (2 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* (* K m) 1/2)) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.935 * * * * [progress]: [ 58 / 64 ] simplifiying candidate # 21.936 * [simplify]: Simplifying (sin (* 1/2 (* m K))) 21.936 * * [simplify]: iters left: 5 (6 enodes) 21.937 * * [simplify]: iters left: 4 (22 enodes) 21.941 * * [simplify]: iters left: 3 (30 enodes) 21.945 * * [simplify]: iters left: 2 (35 enodes) 21.950 * * [simplify]: Extracting #0: cost 1 inf + 0 21.950 * * [simplify]: Extracting #1: cost 3 inf + 0 21.950 * * [simplify]: Extracting #2: cost 10 inf + 0 21.950 * * [simplify]: Extracting #3: cost 10 inf + 3 21.950 * * [simplify]: Extracting #4: cost 6 inf + 171 21.950 * * [simplify]: Extracting #5: cost 1 inf + 564 21.950 * * [simplify]: Extracting #6: cost 0 inf + 707 21.951 * [simplify]: Simplified to (sin (* (* K m) 1/2)) 21.951 * [simplify]: Simplified (2 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* (* K m) 1/2)) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.951 * * * * [progress]: [ 59 / 64 ] simplifiying candidate # 21.951 * [simplify]: Simplifying 1 21.951 * * [simplify]: iters left: 0 (1 enodes) 21.952 * * [simplify]: Extracting #0: cost 1 inf + 0 21.952 * * [simplify]: Extracting #1: cost 0 inf + 1 21.952 * [simplify]: Simplified to 1 21.952 * [simplify]: Simplified (2 1 1 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) 1) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.952 * * * * [progress]: [ 60 / 64 ] simplifiying candidate # 21.952 * [simplify]: Simplifying (cos (- (* 1/2 (* K n)) M)) 21.952 * * [simplify]: iters left: 6 (8 enodes) 21.955 * * [simplify]: iters left: 5 (31 enodes) 21.962 * * [simplify]: iters left: 4 (44 enodes) 21.976 * * [simplify]: iters left: 3 (53 enodes) 21.988 * * [simplify]: Extracting #0: cost 1 inf + 0 21.988 * * [simplify]: Extracting #1: cost 3 inf + 0 21.988 * * [simplify]: Extracting #2: cost 13 inf + 0 21.988 * * [simplify]: Extracting #3: cost 13 inf + 46 21.989 * * [simplify]: Extracting #4: cost 3 inf + 811 21.989 * * [simplify]: Extracting #5: cost 0 inf + 1120 21.990 * [simplify]: Simplified to (cos (- (* (* n K) 1/2) M)) 21.990 * [simplify]: Simplified (2 1 1 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* (* n K) 1/2) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 21.990 * * * * [progress]: [ 61 / 64 ] simplifiying candidate # 21.991 * [simplify]: Simplifying (cos (- (* 1/2 (* K n)) M)) 21.991 * * [simplify]: iters left: 6 (8 enodes) 21.995 * * [simplify]: iters left: 5 (31 enodes) 22.005 * * [simplify]: iters left: 4 (44 enodes) 22.018 * * [simplify]: iters left: 3 (53 enodes) 22.029 * * [simplify]: Extracting #0: cost 1 inf + 0 22.030 * * [simplify]: Extracting #1: cost 3 inf + 0 22.030 * * [simplify]: Extracting #2: cost 13 inf + 0 22.030 * * [simplify]: Extracting #3: cost 13 inf + 46 22.030 * * [simplify]: Extracting #4: cost 3 inf + 811 22.030 * * [simplify]: Extracting #5: cost 0 inf + 1120 22.031 * [simplify]: Simplified to (cos (- (* (* n K) 1/2) M)) 22.031 * [simplify]: Simplified (2 1 1 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* (* n K) 1/2) M))) (* (sin (* m (/ K 2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 22.031 * * * * [progress]: [ 62 / 64 ] simplifiying candidate # 22.031 * [simplify]: Simplifying (- (* 1/2 (* K n)) M) 22.031 * * [simplify]: iters left: 6 (7 enodes) 22.033 * * [simplify]: iters left: 5 (28 enodes) 22.037 * * [simplify]: iters left: 4 (41 enodes) 22.044 * * [simplify]: iters left: 3 (50 enodes) 22.050 * * [simplify]: Extracting #0: cost 1 inf + 0 22.050 * * [simplify]: Extracting #1: cost 11 inf + 0 22.050 * * [simplify]: Extracting #2: cost 10 inf + 87 22.050 * * [simplify]: Extracting #3: cost 2 inf + 668 22.051 * * [simplify]: Extracting #4: cost 0 inf + 752 22.051 * [simplify]: Simplified to (- (* (* n K) 1/2) M) 22.051 * [simplify]: Simplified (2 1 2 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (- (* (* n K) 1/2) M))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 22.051 * * * * [progress]: [ 63 / 64 ] simplifiying candidate # 22.051 * [simplify]: Simplifying (sin (- (* 1/2 (* K n)) M)) 22.051 * * [simplify]: iters left: 6 (8 enodes) 22.054 * * [simplify]: iters left: 5 (31 enodes) 22.058 * * [simplify]: iters left: 4 (44 enodes) 22.070 * * [simplify]: iters left: 3 (53 enodes) 22.085 * * [simplify]: Extracting #0: cost 1 inf + 0 22.085 * * [simplify]: Extracting #1: cost 3 inf + 0 22.085 * * [simplify]: Extracting #2: cost 13 inf + 0 22.085 * * [simplify]: Extracting #3: cost 13 inf + 46 22.086 * * [simplify]: Extracting #4: cost 3 inf + 811 22.086 * * [simplify]: Extracting #5: cost 0 inf + 1120 22.087 * [simplify]: Simplified to (sin (- (* (* n K) 1/2) M)) 22.087 * [simplify]: Simplified (2 1 2 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (sin (- (* (* n K) 1/2) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 22.087 * * * * [progress]: [ 64 / 64 ] simplifiying candidate # 22.088 * [simplify]: Simplifying (sin (- (* 1/2 (* K n)) M)) 22.088 * * [simplify]: iters left: 6 (8 enodes) 22.092 * * [simplify]: iters left: 5 (31 enodes) 22.102 * * [simplify]: iters left: 4 (44 enodes) 22.115 * * [simplify]: iters left: 3 (53 enodes) 22.127 * * [simplify]: Extracting #0: cost 1 inf + 0 22.128 * * [simplify]: Extracting #1: cost 3 inf + 0 22.128 * * [simplify]: Extracting #2: cost 13 inf + 0 22.128 * * [simplify]: Extracting #3: cost 13 inf + 46 22.128 * * [simplify]: Extracting #4: cost 3 inf + 811 22.129 * * [simplify]: Extracting #5: cost 0 inf + 1120 22.129 * [simplify]: Simplified to (sin (- (* (* n K) 1/2) M)) 22.129 * [simplify]: Simplified (2 1 2 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* m (/ K 2))) (sin (- (* (* n K) 1/2) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 22.130 * * * [progress]: adding candidates to table 23.757 * * [progress]: iteration 4 / 4 23.757 * * * [progress]: picking best candidate 23.821 * * * * [pick]: Picked #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 23.821 * * * [progress]: localizing error 23.971 * * * [progress]: generating rewritten candidates 23.971 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 23.971 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 23.978 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) 23.985 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 24.026 * * * [progress]: generating series expansions 24.026 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 24.026 * [backup-simplify]: Simplify (posit16->real (real->posit16 (sin (* m (/ K 2))))) into (sin (* 1/2 (* m K))) 24.026 * [approximate]: Taking taylor expansion of (sin (* 1/2 (* m K))) in (m K) around 0 24.026 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in K 24.026 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in K 24.026 * [taylor]: Taking taylor expansion of 1/2 in K 24.026 * [backup-simplify]: Simplify 1/2 into 1/2 24.026 * [taylor]: Taking taylor expansion of (* m K) in K 24.026 * [taylor]: Taking taylor expansion of m in K 24.026 * [backup-simplify]: Simplify m into m 24.026 * [taylor]: Taking taylor expansion of K in K 24.027 * [backup-simplify]: Simplify 0 into 0 24.027 * [backup-simplify]: Simplify 1 into 1 24.027 * [backup-simplify]: Simplify (* m 0) into 0 24.027 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.028 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.028 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 24.028 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in m 24.028 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 24.029 * [taylor]: Taking taylor expansion of 1/2 in m 24.029 * [backup-simplify]: Simplify 1/2 into 1/2 24.029 * [taylor]: Taking taylor expansion of (* m K) in m 24.029 * [taylor]: Taking taylor expansion of m in m 24.029 * [backup-simplify]: Simplify 0 into 0 24.029 * [backup-simplify]: Simplify 1 into 1 24.029 * [taylor]: Taking taylor expansion of K in m 24.029 * [backup-simplify]: Simplify K into K 24.029 * [backup-simplify]: Simplify (* 0 K) into 0 24.029 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.030 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.030 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 24.030 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in m 24.030 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 24.030 * [taylor]: Taking taylor expansion of 1/2 in m 24.030 * [backup-simplify]: Simplify 1/2 into 1/2 24.031 * [taylor]: Taking taylor expansion of (* m K) in m 24.031 * [taylor]: Taking taylor expansion of m in m 24.031 * [backup-simplify]: Simplify 0 into 0 24.031 * [backup-simplify]: Simplify 1 into 1 24.031 * [taylor]: Taking taylor expansion of K in m 24.031 * [backup-simplify]: Simplify K into K 24.031 * [backup-simplify]: Simplify (* 0 K) into 0 24.031 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.032 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.032 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 24.032 * [taylor]: Taking taylor expansion of 0 in K 24.032 * [backup-simplify]: Simplify 0 into 0 24.032 * [backup-simplify]: Simplify 0 into 0 24.032 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 24.032 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 24.032 * [taylor]: Taking taylor expansion of 1/2 in K 24.032 * [backup-simplify]: Simplify 1/2 into 1/2 24.033 * [taylor]: Taking taylor expansion of K in K 24.033 * [backup-simplify]: Simplify 0 into 0 24.033 * [backup-simplify]: Simplify 1 into 1 24.033 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.033 * [backup-simplify]: Simplify 0 into 0 24.033 * [backup-simplify]: Simplify 0 into 0 24.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 24.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 24.036 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.036 * [taylor]: Taking taylor expansion of 0 in K 24.036 * [backup-simplify]: Simplify 0 into 0 24.036 * [backup-simplify]: Simplify 0 into 0 24.037 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 24.037 * [backup-simplify]: Simplify 1/2 into 1/2 24.037 * [backup-simplify]: Simplify 0 into 0 24.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 24.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 K) (* 0 0)))) into 0 24.040 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/48 (pow K 3))) 24.040 * [taylor]: Taking taylor expansion of (- (* 1/48 (pow K 3))) in K 24.040 * [taylor]: Taking taylor expansion of (* 1/48 (pow K 3)) in K 24.040 * [taylor]: Taking taylor expansion of 1/48 in K 24.040 * [backup-simplify]: Simplify 1/48 into 1/48 24.040 * [taylor]: Taking taylor expansion of (pow K 3) in K 24.040 * [taylor]: Taking taylor expansion of K in K 24.040 * [backup-simplify]: Simplify 0 into 0 24.040 * [backup-simplify]: Simplify 1 into 1 24.041 * [backup-simplify]: Simplify 0 into 0 24.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 24.042 * [backup-simplify]: Simplify 0 into 0 24.042 * [backup-simplify]: Simplify 0 into 0 24.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 24.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 K) (* 0 0))))) into 0 24.046 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 24.046 * [taylor]: Taking taylor expansion of 0 in K 24.046 * [backup-simplify]: Simplify 0 into 0 24.046 * [backup-simplify]: Simplify 0 into 0 24.046 * [backup-simplify]: Simplify 0 into 0 24.046 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 24.047 * [backup-simplify]: Simplify (posit16->real (real->posit16 (sin (* (/ 1 m) (/ (/ 1 K) 2))))) into (sin (/ 1/2 (* m K))) 24.047 * [approximate]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in (m K) around 0 24.047 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 24.047 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 24.047 * [taylor]: Taking taylor expansion of 1/2 in K 24.047 * [backup-simplify]: Simplify 1/2 into 1/2 24.047 * [taylor]: Taking taylor expansion of (* m K) in K 24.047 * [taylor]: Taking taylor expansion of m in K 24.047 * [backup-simplify]: Simplify m into m 24.047 * [taylor]: Taking taylor expansion of K in K 24.047 * [backup-simplify]: Simplify 0 into 0 24.047 * [backup-simplify]: Simplify 1 into 1 24.047 * [backup-simplify]: Simplify (* m 0) into 0 24.047 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.047 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 24.047 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.047 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 24.048 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 24.048 * [taylor]: Taking taylor expansion of 1/2 in m 24.048 * [backup-simplify]: Simplify 1/2 into 1/2 24.048 * [taylor]: Taking taylor expansion of (* m K) in m 24.048 * [taylor]: Taking taylor expansion of m in m 24.048 * [backup-simplify]: Simplify 0 into 0 24.048 * [backup-simplify]: Simplify 1 into 1 24.048 * [taylor]: Taking taylor expansion of K in m 24.048 * [backup-simplify]: Simplify K into K 24.048 * [backup-simplify]: Simplify (* 0 K) into 0 24.048 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.048 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 24.048 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.048 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 24.048 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 24.048 * [taylor]: Taking taylor expansion of 1/2 in m 24.048 * [backup-simplify]: Simplify 1/2 into 1/2 24.048 * [taylor]: Taking taylor expansion of (* m K) in m 24.049 * [taylor]: Taking taylor expansion of m in m 24.049 * [backup-simplify]: Simplify 0 into 0 24.049 * [backup-simplify]: Simplify 1 into 1 24.049 * [taylor]: Taking taylor expansion of K in m 24.049 * [backup-simplify]: Simplify K into K 24.049 * [backup-simplify]: Simplify (* 0 K) into 0 24.049 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.049 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 24.049 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.049 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 24.049 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 24.049 * [taylor]: Taking taylor expansion of 1/2 in K 24.049 * [backup-simplify]: Simplify 1/2 into 1/2 24.049 * [taylor]: Taking taylor expansion of (* m K) in K 24.049 * [taylor]: Taking taylor expansion of m in K 24.049 * [backup-simplify]: Simplify m into m 24.049 * [taylor]: Taking taylor expansion of K in K 24.050 * [backup-simplify]: Simplify 0 into 0 24.050 * [backup-simplify]: Simplify 1 into 1 24.050 * [backup-simplify]: Simplify (* m 0) into 0 24.050 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.050 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 24.050 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.050 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.050 * [taylor]: Taking taylor expansion of 0 in K 24.050 * [backup-simplify]: Simplify 0 into 0 24.050 * [backup-simplify]: Simplify 0 into 0 24.050 * [backup-simplify]: Simplify 0 into 0 24.050 * [taylor]: Taking taylor expansion of 0 in K 24.050 * [backup-simplify]: Simplify 0 into 0 24.051 * [backup-simplify]: Simplify 0 into 0 24.051 * [backup-simplify]: Simplify 0 into 0 24.051 * [backup-simplify]: Simplify 0 into 0 24.051 * [taylor]: Taking taylor expansion of 0 in K 24.051 * [backup-simplify]: Simplify 0 into 0 24.051 * [backup-simplify]: Simplify 0 into 0 24.051 * [backup-simplify]: Simplify (sin (/ 1/2 (* (/ 1 m) (/ 1 K)))) into (sin (* 1/2 (* m K))) 24.051 * [backup-simplify]: Simplify (posit16->real (real->posit16 (sin (* (/ 1 (- m)) (/ (/ 1 (- K)) 2))))) into (sin (/ 1/2 (* m K))) 24.051 * [approximate]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in (m K) around 0 24.051 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 24.051 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 24.051 * [taylor]: Taking taylor expansion of 1/2 in K 24.051 * [backup-simplify]: Simplify 1/2 into 1/2 24.051 * [taylor]: Taking taylor expansion of (* m K) in K 24.051 * [taylor]: Taking taylor expansion of m in K 24.051 * [backup-simplify]: Simplify m into m 24.051 * [taylor]: Taking taylor expansion of K in K 24.051 * [backup-simplify]: Simplify 0 into 0 24.051 * [backup-simplify]: Simplify 1 into 1 24.051 * [backup-simplify]: Simplify (* m 0) into 0 24.052 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.052 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 24.052 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.052 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 24.052 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 24.052 * [taylor]: Taking taylor expansion of 1/2 in m 24.052 * [backup-simplify]: Simplify 1/2 into 1/2 24.052 * [taylor]: Taking taylor expansion of (* m K) in m 24.052 * [taylor]: Taking taylor expansion of m in m 24.052 * [backup-simplify]: Simplify 0 into 0 24.052 * [backup-simplify]: Simplify 1 into 1 24.052 * [taylor]: Taking taylor expansion of K in m 24.052 * [backup-simplify]: Simplify K into K 24.052 * [backup-simplify]: Simplify (* 0 K) into 0 24.053 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.053 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 24.053 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.053 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 24.053 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 24.053 * [taylor]: Taking taylor expansion of 1/2 in m 24.053 * [backup-simplify]: Simplify 1/2 into 1/2 24.053 * [taylor]: Taking taylor expansion of (* m K) in m 24.053 * [taylor]: Taking taylor expansion of m in m 24.053 * [backup-simplify]: Simplify 0 into 0 24.053 * [backup-simplify]: Simplify 1 into 1 24.053 * [taylor]: Taking taylor expansion of K in m 24.053 * [backup-simplify]: Simplify K into K 24.053 * [backup-simplify]: Simplify (* 0 K) into 0 24.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.054 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 24.054 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.054 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 24.054 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 24.054 * [taylor]: Taking taylor expansion of 1/2 in K 24.054 * [backup-simplify]: Simplify 1/2 into 1/2 24.054 * [taylor]: Taking taylor expansion of (* m K) in K 24.054 * [taylor]: Taking taylor expansion of m in K 24.054 * [backup-simplify]: Simplify m into m 24.054 * [taylor]: Taking taylor expansion of K in K 24.054 * [backup-simplify]: Simplify 0 into 0 24.054 * [backup-simplify]: Simplify 1 into 1 24.054 * [backup-simplify]: Simplify (* m 0) into 0 24.055 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.055 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 24.055 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.055 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.055 * [taylor]: Taking taylor expansion of 0 in K 24.055 * [backup-simplify]: Simplify 0 into 0 24.055 * [backup-simplify]: Simplify 0 into 0 24.055 * [backup-simplify]: Simplify 0 into 0 24.055 * [taylor]: Taking taylor expansion of 0 in K 24.055 * [backup-simplify]: Simplify 0 into 0 24.055 * [backup-simplify]: Simplify 0 into 0 24.055 * [backup-simplify]: Simplify 0 into 0 24.055 * [backup-simplify]: Simplify 0 into 0 24.055 * [taylor]: Taking taylor expansion of 0 in K 24.055 * [backup-simplify]: Simplify 0 into 0 24.056 * [backup-simplify]: Simplify 0 into 0 24.056 * [backup-simplify]: Simplify (sin (/ 1/2 (* (/ 1 (- m)) (/ 1 (- K))))) into (sin (* 1/2 (* m K))) 24.056 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 24.056 * [backup-simplify]: Simplify (cos (* m (/ K 2))) into (cos (* 1/2 (* m K))) 24.056 * [approximate]: Taking taylor expansion of (cos (* 1/2 (* m K))) in (m K) around 0 24.056 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* m K))) in K 24.056 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in K 24.056 * [taylor]: Taking taylor expansion of 1/2 in K 24.056 * [backup-simplify]: Simplify 1/2 into 1/2 24.056 * [taylor]: Taking taylor expansion of (* m K) in K 24.056 * [taylor]: Taking taylor expansion of m in K 24.056 * [backup-simplify]: Simplify m into m 24.056 * [taylor]: Taking taylor expansion of K in K 24.056 * [backup-simplify]: Simplify 0 into 0 24.056 * [backup-simplify]: Simplify 1 into 1 24.056 * [backup-simplify]: Simplify (* m 0) into 0 24.057 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.057 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.063 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 24.063 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* m K))) in m 24.063 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 24.063 * [taylor]: Taking taylor expansion of 1/2 in m 24.063 * [backup-simplify]: Simplify 1/2 into 1/2 24.063 * [taylor]: Taking taylor expansion of (* m K) in m 24.063 * [taylor]: Taking taylor expansion of m in m 24.063 * [backup-simplify]: Simplify 0 into 0 24.063 * [backup-simplify]: Simplify 1 into 1 24.063 * [taylor]: Taking taylor expansion of K in m 24.063 * [backup-simplify]: Simplify K into K 24.063 * [backup-simplify]: Simplify (* 0 K) into 0 24.064 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.064 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.065 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 24.065 * [taylor]: Taking taylor expansion of (cos (* 1/2 (* m K))) in m 24.065 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 24.065 * [taylor]: Taking taylor expansion of 1/2 in m 24.065 * [backup-simplify]: Simplify 1/2 into 1/2 24.065 * [taylor]: Taking taylor expansion of (* m K) in m 24.065 * [taylor]: Taking taylor expansion of m in m 24.065 * [backup-simplify]: Simplify 0 into 0 24.065 * [backup-simplify]: Simplify 1 into 1 24.065 * [taylor]: Taking taylor expansion of K in m 24.065 * [backup-simplify]: Simplify K into K 24.065 * [backup-simplify]: Simplify (* 0 K) into 0 24.066 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.066 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.067 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 24.067 * [taylor]: Taking taylor expansion of 1 in K 24.067 * [backup-simplify]: Simplify 1 into 1 24.067 * [backup-simplify]: Simplify 1 into 1 24.067 * [backup-simplify]: Simplify (+ 0) into 0 24.067 * [taylor]: Taking taylor expansion of 0 in K 24.067 * [backup-simplify]: Simplify 0 into 0 24.067 * [backup-simplify]: Simplify 0 into 0 24.067 * [backup-simplify]: Simplify 0 into 0 24.068 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 24.068 * [taylor]: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K 24.068 * [taylor]: Taking taylor expansion of (* 1/8 (pow K 2)) in K 24.068 * [taylor]: Taking taylor expansion of 1/8 in K 24.068 * [backup-simplify]: Simplify 1/8 into 1/8 24.068 * [taylor]: Taking taylor expansion of (pow K 2) in K 24.068 * [taylor]: Taking taylor expansion of K in K 24.068 * [backup-simplify]: Simplify 0 into 0 24.068 * [backup-simplify]: Simplify 1 into 1 24.068 * [backup-simplify]: Simplify 0 into 0 24.068 * [backup-simplify]: Simplify 0 into 0 24.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 24.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 24.069 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 1) 1) (/ (pow 0 1) 1)) 0) into 0 24.069 * [taylor]: Taking taylor expansion of 0 in K 24.069 * [backup-simplify]: Simplify 0 into 0 24.069 * [backup-simplify]: Simplify 0 into 0 24.069 * [backup-simplify]: Simplify 0 into 0 24.069 * [backup-simplify]: Simplify 1 into 1 24.070 * [backup-simplify]: Simplify (cos (* (/ 1 m) (/ (/ 1 K) 2))) into (cos (/ 1/2 (* m K))) 24.070 * [approximate]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in (m K) around 0 24.070 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 24.070 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 24.070 * [taylor]: Taking taylor expansion of 1/2 in K 24.070 * [backup-simplify]: Simplify 1/2 into 1/2 24.070 * [taylor]: Taking taylor expansion of (* m K) in K 24.070 * [taylor]: Taking taylor expansion of m in K 24.070 * [backup-simplify]: Simplify m into m 24.070 * [taylor]: Taking taylor expansion of K in K 24.070 * [backup-simplify]: Simplify 0 into 0 24.070 * [backup-simplify]: Simplify 1 into 1 24.070 * [backup-simplify]: Simplify (* m 0) into 0 24.070 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.070 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 24.070 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 24.070 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 24.070 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 24.070 * [taylor]: Taking taylor expansion of 1/2 in m 24.070 * [backup-simplify]: Simplify 1/2 into 1/2 24.070 * [taylor]: Taking taylor expansion of (* m K) in m 24.070 * [taylor]: Taking taylor expansion of m in m 24.070 * [backup-simplify]: Simplify 0 into 0 24.070 * [backup-simplify]: Simplify 1 into 1 24.070 * [taylor]: Taking taylor expansion of K in m 24.070 * [backup-simplify]: Simplify K into K 24.070 * [backup-simplify]: Simplify (* 0 K) into 0 24.071 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.071 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 24.071 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 24.071 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 24.071 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 24.071 * [taylor]: Taking taylor expansion of 1/2 in m 24.071 * [backup-simplify]: Simplify 1/2 into 1/2 24.071 * [taylor]: Taking taylor expansion of (* m K) in m 24.071 * [taylor]: Taking taylor expansion of m in m 24.071 * [backup-simplify]: Simplify 0 into 0 24.071 * [backup-simplify]: Simplify 1 into 1 24.071 * [taylor]: Taking taylor expansion of K in m 24.071 * [backup-simplify]: Simplify K into K 24.071 * [backup-simplify]: Simplify (* 0 K) into 0 24.071 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.071 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 24.071 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 24.071 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 24.071 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 24.071 * [taylor]: Taking taylor expansion of 1/2 in K 24.071 * [backup-simplify]: Simplify 1/2 into 1/2 24.071 * [taylor]: Taking taylor expansion of (* m K) in K 24.071 * [taylor]: Taking taylor expansion of m in K 24.071 * [backup-simplify]: Simplify m into m 24.071 * [taylor]: Taking taylor expansion of K in K 24.071 * [backup-simplify]: Simplify 0 into 0 24.071 * [backup-simplify]: Simplify 1 into 1 24.072 * [backup-simplify]: Simplify (* m 0) into 0 24.072 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.072 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 24.072 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 24.072 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 24.072 * [taylor]: Taking taylor expansion of 0 in K 24.072 * [backup-simplify]: Simplify 0 into 0 24.072 * [backup-simplify]: Simplify 0 into 0 24.072 * [backup-simplify]: Simplify 0 into 0 24.072 * [taylor]: Taking taylor expansion of 0 in K 24.072 * [backup-simplify]: Simplify 0 into 0 24.072 * [backup-simplify]: Simplify 0 into 0 24.072 * [backup-simplify]: Simplify 0 into 0 24.072 * [backup-simplify]: Simplify 0 into 0 24.072 * [taylor]: Taking taylor expansion of 0 in K 24.072 * [backup-simplify]: Simplify 0 into 0 24.072 * [backup-simplify]: Simplify 0 into 0 24.072 * [backup-simplify]: Simplify (cos (/ 1/2 (* (/ 1 m) (/ 1 K)))) into (cos (* 1/2 (* m K))) 24.073 * [backup-simplify]: Simplify (cos (* (/ 1 (- m)) (/ (/ 1 (- K)) 2))) into (cos (/ 1/2 (* m K))) 24.073 * [approximate]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in (m K) around 0 24.073 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 24.073 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 24.073 * [taylor]: Taking taylor expansion of 1/2 in K 24.073 * [backup-simplify]: Simplify 1/2 into 1/2 24.073 * [taylor]: Taking taylor expansion of (* m K) in K 24.073 * [taylor]: Taking taylor expansion of m in K 24.073 * [backup-simplify]: Simplify m into m 24.073 * [taylor]: Taking taylor expansion of K in K 24.073 * [backup-simplify]: Simplify 0 into 0 24.073 * [backup-simplify]: Simplify 1 into 1 24.073 * [backup-simplify]: Simplify (* m 0) into 0 24.073 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.073 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 24.073 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 24.073 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 24.073 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 24.073 * [taylor]: Taking taylor expansion of 1/2 in m 24.073 * [backup-simplify]: Simplify 1/2 into 1/2 24.073 * [taylor]: Taking taylor expansion of (* m K) in m 24.073 * [taylor]: Taking taylor expansion of m in m 24.073 * [backup-simplify]: Simplify 0 into 0 24.073 * [backup-simplify]: Simplify 1 into 1 24.073 * [taylor]: Taking taylor expansion of K in m 24.073 * [backup-simplify]: Simplify K into K 24.073 * [backup-simplify]: Simplify (* 0 K) into 0 24.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.074 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 24.074 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 24.074 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in m 24.074 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 24.074 * [taylor]: Taking taylor expansion of 1/2 in m 24.074 * [backup-simplify]: Simplify 1/2 into 1/2 24.074 * [taylor]: Taking taylor expansion of (* m K) in m 24.074 * [taylor]: Taking taylor expansion of m in m 24.074 * [backup-simplify]: Simplify 0 into 0 24.074 * [backup-simplify]: Simplify 1 into 1 24.074 * [taylor]: Taking taylor expansion of K in m 24.074 * [backup-simplify]: Simplify K into K 24.074 * [backup-simplify]: Simplify (* 0 K) into 0 24.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.074 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 24.074 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 24.074 * [taylor]: Taking taylor expansion of (cos (/ 1/2 (* m K))) in K 24.074 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 24.074 * [taylor]: Taking taylor expansion of 1/2 in K 24.074 * [backup-simplify]: Simplify 1/2 into 1/2 24.074 * [taylor]: Taking taylor expansion of (* m K) in K 24.074 * [taylor]: Taking taylor expansion of m in K 24.074 * [backup-simplify]: Simplify m into m 24.074 * [taylor]: Taking taylor expansion of K in K 24.074 * [backup-simplify]: Simplify 0 into 0 24.074 * [backup-simplify]: Simplify 1 into 1 24.074 * [backup-simplify]: Simplify (* m 0) into 0 24.075 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.075 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 24.075 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 24.075 * [backup-simplify]: Simplify (cos (/ 1/2 (* m K))) into (cos (/ 1/2 (* m K))) 24.075 * [taylor]: Taking taylor expansion of 0 in K 24.075 * [backup-simplify]: Simplify 0 into 0 24.075 * [backup-simplify]: Simplify 0 into 0 24.075 * [backup-simplify]: Simplify 0 into 0 24.075 * [taylor]: Taking taylor expansion of 0 in K 24.075 * [backup-simplify]: Simplify 0 into 0 24.075 * [backup-simplify]: Simplify 0 into 0 24.075 * [backup-simplify]: Simplify 0 into 0 24.075 * [backup-simplify]: Simplify 0 into 0 24.075 * [taylor]: Taking taylor expansion of 0 in K 24.075 * [backup-simplify]: Simplify 0 into 0 24.075 * [backup-simplify]: Simplify 0 into 0 24.075 * [backup-simplify]: Simplify (cos (/ 1/2 (* (/ 1 (- m)) (/ 1 (- K))))) into (cos (* 1/2 (* m K))) 24.075 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1) 24.075 * [backup-simplify]: Simplify (sin (* m (/ K 2))) into (sin (* 1/2 (* m K))) 24.075 * [approximate]: Taking taylor expansion of (sin (* 1/2 (* m K))) in (m K) around 0 24.075 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in K 24.075 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in K 24.075 * [taylor]: Taking taylor expansion of 1/2 in K 24.075 * [backup-simplify]: Simplify 1/2 into 1/2 24.075 * [taylor]: Taking taylor expansion of (* m K) in K 24.075 * [taylor]: Taking taylor expansion of m in K 24.075 * [backup-simplify]: Simplify m into m 24.075 * [taylor]: Taking taylor expansion of K in K 24.075 * [backup-simplify]: Simplify 0 into 0 24.075 * [backup-simplify]: Simplify 1 into 1 24.075 * [backup-simplify]: Simplify (* m 0) into 0 24.076 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.076 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.076 * [backup-simplify]: Simplify (+ (* 1/2 m) (* 0 0)) into (* 1/2 m) 24.076 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in m 24.076 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 24.076 * [taylor]: Taking taylor expansion of 1/2 in m 24.076 * [backup-simplify]: Simplify 1/2 into 1/2 24.076 * [taylor]: Taking taylor expansion of (* m K) in m 24.076 * [taylor]: Taking taylor expansion of m in m 24.076 * [backup-simplify]: Simplify 0 into 0 24.077 * [backup-simplify]: Simplify 1 into 1 24.077 * [taylor]: Taking taylor expansion of K in m 24.077 * [backup-simplify]: Simplify K into K 24.077 * [backup-simplify]: Simplify (* 0 K) into 0 24.077 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.077 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 24.077 * [taylor]: Taking taylor expansion of (sin (* 1/2 (* m K))) in m 24.077 * [taylor]: Taking taylor expansion of (* 1/2 (* m K)) in m 24.077 * [taylor]: Taking taylor expansion of 1/2 in m 24.077 * [backup-simplify]: Simplify 1/2 into 1/2 24.077 * [taylor]: Taking taylor expansion of (* m K) in m 24.077 * [taylor]: Taking taylor expansion of m in m 24.077 * [backup-simplify]: Simplify 0 into 0 24.078 * [backup-simplify]: Simplify 1 into 1 24.078 * [taylor]: Taking taylor expansion of K in m 24.078 * [backup-simplify]: Simplify K into K 24.078 * [backup-simplify]: Simplify (* 0 K) into 0 24.078 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.078 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.078 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 24.078 * [taylor]: Taking taylor expansion of 0 in K 24.078 * [backup-simplify]: Simplify 0 into 0 24.078 * [backup-simplify]: Simplify 0 into 0 24.079 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 24.079 * [taylor]: Taking taylor expansion of (* 1/2 K) in K 24.079 * [taylor]: Taking taylor expansion of 1/2 in K 24.079 * [backup-simplify]: Simplify 1/2 into 1/2 24.079 * [taylor]: Taking taylor expansion of K in K 24.079 * [backup-simplify]: Simplify 0 into 0 24.079 * [backup-simplify]: Simplify 1 into 1 24.079 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.079 * [backup-simplify]: Simplify 0 into 0 24.079 * [backup-simplify]: Simplify 0 into 0 24.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 K))) into 0 24.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 24.081 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.081 * [taylor]: Taking taylor expansion of 0 in K 24.081 * [backup-simplify]: Simplify 0 into 0 24.081 * [backup-simplify]: Simplify 0 into 0 24.081 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 24.081 * [backup-simplify]: Simplify 1/2 into 1/2 24.081 * [backup-simplify]: Simplify 0 into 0 24.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 K)))) into 0 24.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 K) (* 0 0)))) into 0 24.083 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/48 (pow K 3))) 24.083 * [taylor]: Taking taylor expansion of (- (* 1/48 (pow K 3))) in K 24.084 * [taylor]: Taking taylor expansion of (* 1/48 (pow K 3)) in K 24.084 * [taylor]: Taking taylor expansion of 1/48 in K 24.084 * [backup-simplify]: Simplify 1/48 into 1/48 24.084 * [taylor]: Taking taylor expansion of (pow K 3) in K 24.084 * [taylor]: Taking taylor expansion of K in K 24.084 * [backup-simplify]: Simplify 0 into 0 24.084 * [backup-simplify]: Simplify 1 into 1 24.084 * [backup-simplify]: Simplify 0 into 0 24.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 24.084 * [backup-simplify]: Simplify 0 into 0 24.084 * [backup-simplify]: Simplify 0 into 0 24.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0 24.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 K) (* 0 0))))) into 0 24.087 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (* 1/2 K) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 24.087 * [taylor]: Taking taylor expansion of 0 in K 24.087 * [backup-simplify]: Simplify 0 into 0 24.087 * [backup-simplify]: Simplify 0 into 0 24.087 * [backup-simplify]: Simplify 0 into 0 24.087 * [backup-simplify]: Simplify (* 1/2 (* K m)) into (* 1/2 (* K m)) 24.087 * [backup-simplify]: Simplify (sin (* (/ 1 m) (/ (/ 1 K) 2))) into (sin (/ 1/2 (* m K))) 24.087 * [approximate]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in (m K) around 0 24.087 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 24.087 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 24.087 * [taylor]: Taking taylor expansion of 1/2 in K 24.087 * [backup-simplify]: Simplify 1/2 into 1/2 24.087 * [taylor]: Taking taylor expansion of (* m K) in K 24.087 * [taylor]: Taking taylor expansion of m in K 24.087 * [backup-simplify]: Simplify m into m 24.087 * [taylor]: Taking taylor expansion of K in K 24.087 * [backup-simplify]: Simplify 0 into 0 24.087 * [backup-simplify]: Simplify 1 into 1 24.087 * [backup-simplify]: Simplify (* m 0) into 0 24.088 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.088 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 24.088 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.088 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 24.088 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 24.088 * [taylor]: Taking taylor expansion of 1/2 in m 24.088 * [backup-simplify]: Simplify 1/2 into 1/2 24.088 * [taylor]: Taking taylor expansion of (* m K) in m 24.088 * [taylor]: Taking taylor expansion of m in m 24.088 * [backup-simplify]: Simplify 0 into 0 24.088 * [backup-simplify]: Simplify 1 into 1 24.088 * [taylor]: Taking taylor expansion of K in m 24.088 * [backup-simplify]: Simplify K into K 24.088 * [backup-simplify]: Simplify (* 0 K) into 0 24.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.088 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 24.088 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.088 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 24.088 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 24.088 * [taylor]: Taking taylor expansion of 1/2 in m 24.089 * [backup-simplify]: Simplify 1/2 into 1/2 24.089 * [taylor]: Taking taylor expansion of (* m K) in m 24.089 * [taylor]: Taking taylor expansion of m in m 24.089 * [backup-simplify]: Simplify 0 into 0 24.089 * [backup-simplify]: Simplify 1 into 1 24.089 * [taylor]: Taking taylor expansion of K in m 24.089 * [backup-simplify]: Simplify K into K 24.089 * [backup-simplify]: Simplify (* 0 K) into 0 24.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.089 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 24.089 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.089 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 24.089 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 24.089 * [taylor]: Taking taylor expansion of 1/2 in K 24.089 * [backup-simplify]: Simplify 1/2 into 1/2 24.089 * [taylor]: Taking taylor expansion of (* m K) in K 24.089 * [taylor]: Taking taylor expansion of m in K 24.089 * [backup-simplify]: Simplify m into m 24.089 * [taylor]: Taking taylor expansion of K in K 24.089 * [backup-simplify]: Simplify 0 into 0 24.089 * [backup-simplify]: Simplify 1 into 1 24.089 * [backup-simplify]: Simplify (* m 0) into 0 24.090 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.090 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 24.090 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.090 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.090 * [taylor]: Taking taylor expansion of 0 in K 24.090 * [backup-simplify]: Simplify 0 into 0 24.090 * [backup-simplify]: Simplify 0 into 0 24.090 * [backup-simplify]: Simplify 0 into 0 24.090 * [taylor]: Taking taylor expansion of 0 in K 24.090 * [backup-simplify]: Simplify 0 into 0 24.090 * [backup-simplify]: Simplify 0 into 0 24.090 * [backup-simplify]: Simplify 0 into 0 24.090 * [backup-simplify]: Simplify 0 into 0 24.090 * [taylor]: Taking taylor expansion of 0 in K 24.090 * [backup-simplify]: Simplify 0 into 0 24.090 * [backup-simplify]: Simplify 0 into 0 24.090 * [backup-simplify]: Simplify (sin (/ 1/2 (* (/ 1 m) (/ 1 K)))) into (sin (* 1/2 (* m K))) 24.090 * [backup-simplify]: Simplify (sin (* (/ 1 (- m)) (/ (/ 1 (- K)) 2))) into (sin (/ 1/2 (* m K))) 24.090 * [approximate]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in (m K) around 0 24.090 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 24.090 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 24.090 * [taylor]: Taking taylor expansion of 1/2 in K 24.090 * [backup-simplify]: Simplify 1/2 into 1/2 24.090 * [taylor]: Taking taylor expansion of (* m K) in K 24.090 * [taylor]: Taking taylor expansion of m in K 24.090 * [backup-simplify]: Simplify m into m 24.090 * [taylor]: Taking taylor expansion of K in K 24.090 * [backup-simplify]: Simplify 0 into 0 24.090 * [backup-simplify]: Simplify 1 into 1 24.090 * [backup-simplify]: Simplify (* m 0) into 0 24.091 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.091 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 24.091 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.091 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 24.091 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 24.091 * [taylor]: Taking taylor expansion of 1/2 in m 24.091 * [backup-simplify]: Simplify 1/2 into 1/2 24.091 * [taylor]: Taking taylor expansion of (* m K) in m 24.091 * [taylor]: Taking taylor expansion of m in m 24.091 * [backup-simplify]: Simplify 0 into 0 24.091 * [backup-simplify]: Simplify 1 into 1 24.091 * [taylor]: Taking taylor expansion of K in m 24.091 * [backup-simplify]: Simplify K into K 24.091 * [backup-simplify]: Simplify (* 0 K) into 0 24.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.091 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 24.091 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.091 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in m 24.091 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in m 24.092 * [taylor]: Taking taylor expansion of 1/2 in m 24.092 * [backup-simplify]: Simplify 1/2 into 1/2 24.092 * [taylor]: Taking taylor expansion of (* m K) in m 24.092 * [taylor]: Taking taylor expansion of m in m 24.092 * [backup-simplify]: Simplify 0 into 0 24.092 * [backup-simplify]: Simplify 1 into 1 24.092 * [taylor]: Taking taylor expansion of K in m 24.092 * [backup-simplify]: Simplify K into K 24.092 * [backup-simplify]: Simplify (* 0 K) into 0 24.092 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 K)) into K 24.092 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K) 24.092 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.092 * [taylor]: Taking taylor expansion of (sin (/ 1/2 (* m K))) in K 24.092 * [taylor]: Taking taylor expansion of (/ 1/2 (* m K)) in K 24.092 * [taylor]: Taking taylor expansion of 1/2 in K 24.092 * [backup-simplify]: Simplify 1/2 into 1/2 24.092 * [taylor]: Taking taylor expansion of (* m K) in K 24.092 * [taylor]: Taking taylor expansion of m in K 24.092 * [backup-simplify]: Simplify m into m 24.092 * [taylor]: Taking taylor expansion of K in K 24.092 * [backup-simplify]: Simplify 0 into 0 24.092 * [backup-simplify]: Simplify 1 into 1 24.092 * [backup-simplify]: Simplify (* m 0) into 0 24.093 * [backup-simplify]: Simplify (+ (* m 1) (* 0 0)) into m 24.093 * [backup-simplify]: Simplify (/ 1/2 m) into (/ 1/2 m) 24.093 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.093 * [backup-simplify]: Simplify (sin (/ 1/2 (* m K))) into (sin (/ 1/2 (* m K))) 24.093 * [taylor]: Taking taylor expansion of 0 in K 24.093 * [backup-simplify]: Simplify 0 into 0 24.093 * [backup-simplify]: Simplify 0 into 0 24.093 * [backup-simplify]: Simplify 0 into 0 24.093 * [taylor]: Taking taylor expansion of 0 in K 24.093 * [backup-simplify]: Simplify 0 into 0 24.093 * [backup-simplify]: Simplify 0 into 0 24.093 * [backup-simplify]: Simplify 0 into 0 24.093 * [backup-simplify]: Simplify 0 into 0 24.093 * [taylor]: Taking taylor expansion of 0 in K 24.093 * [backup-simplify]: Simplify 0 into 0 24.093 * [backup-simplify]: Simplify 0 into 0 24.093 * [backup-simplify]: Simplify (sin (/ 1/2 (* (/ 1 (- m)) (/ 1 (- K))))) into (sin (* 1/2 (* m K))) 24.093 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 24.093 * [backup-simplify]: Simplify (cos (- (* n (/ K 2)) M)) into (cos (- (* 1/2 (* K n)) M)) 24.093 * [approximate]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in (n K M) around 0 24.093 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in M 24.093 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in M 24.093 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in M 24.093 * [taylor]: Taking taylor expansion of 1/2 in M 24.093 * [backup-simplify]: Simplify 1/2 into 1/2 24.093 * [taylor]: Taking taylor expansion of (* K n) in M 24.093 * [taylor]: Taking taylor expansion of K in M 24.093 * [backup-simplify]: Simplify K into K 24.093 * [taylor]: Taking taylor expansion of n in M 24.093 * [backup-simplify]: Simplify n into n 24.093 * [taylor]: Taking taylor expansion of M in M 24.093 * [backup-simplify]: Simplify 0 into 0 24.093 * [backup-simplify]: Simplify 1 into 1 24.094 * [backup-simplify]: Simplify (* K n) into (* K n) 24.094 * [backup-simplify]: Simplify (* 1/2 (* K n)) into (* 1/2 (* K n)) 24.094 * [backup-simplify]: Simplify (- 0) into 0 24.094 * [backup-simplify]: Simplify (+ (* 1/2 (* K n)) 0) into (* 1/2 (* K n)) 24.094 * [backup-simplify]: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) 24.094 * [backup-simplify]: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) 24.094 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in K 24.094 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in K 24.094 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in K 24.094 * [taylor]: Taking taylor expansion of 1/2 in K 24.094 * [backup-simplify]: Simplify 1/2 into 1/2 24.094 * [taylor]: Taking taylor expansion of (* K n) in K 24.094 * [taylor]: Taking taylor expansion of K in K 24.094 * [backup-simplify]: Simplify 0 into 0 24.094 * [backup-simplify]: Simplify 1 into 1 24.094 * [taylor]: Taking taylor expansion of n in K 24.094 * [backup-simplify]: Simplify n into n 24.094 * [taylor]: Taking taylor expansion of M in K 24.094 * [backup-simplify]: Simplify M into M 24.094 * [backup-simplify]: Simplify (* 0 n) into 0 24.095 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.095 * [backup-simplify]: Simplify (- M) into (- M) 24.095 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 24.095 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 24.095 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 24.095 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 24.095 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 24.095 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 24.095 * [taylor]: Taking taylor expansion of 1/2 in n 24.095 * [backup-simplify]: Simplify 1/2 into 1/2 24.095 * [taylor]: Taking taylor expansion of (* K n) in n 24.095 * [taylor]: Taking taylor expansion of K in n 24.095 * [backup-simplify]: Simplify K into K 24.095 * [taylor]: Taking taylor expansion of n in n 24.095 * [backup-simplify]: Simplify 0 into 0 24.095 * [backup-simplify]: Simplify 1 into 1 24.095 * [taylor]: Taking taylor expansion of M in n 24.095 * [backup-simplify]: Simplify M into M 24.095 * [backup-simplify]: Simplify (* K 0) into 0 24.095 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.095 * [backup-simplify]: Simplify (- M) into (- M) 24.095 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 24.095 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 24.095 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 24.095 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n 24.095 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n 24.095 * [taylor]: Taking taylor expansion of (* 1/2 (* K n)) in n 24.095 * [taylor]: Taking taylor expansion of 1/2 in n 24.095 * [backup-simplify]: Simplify 1/2 into 1/2 24.095 * [taylor]: Taking taylor expansion of (* K n) in n 24.095 * [taylor]: Taking taylor expansion of K in n 24.095 * [backup-simplify]: Simplify K into K 24.095 * [taylor]: Taking taylor expansion of n in n 24.095 * [backup-simplify]: Simplify 0 into 0 24.095 * [backup-simplify]: Simplify 1 into 1 24.095 * [taylor]: Taking taylor expansion of M in n 24.096 * [backup-simplify]: Simplify M into M 24.096 * [backup-simplify]: Simplify (* K 0) into 0 24.096 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.096 * [backup-simplify]: Simplify (- M) into (- M) 24.096 * [backup-simplify]: Simplify (+ 0 (- M)) into (- M) 24.096 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 24.096 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 24.096 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 24.096 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 24.096 * [backup-simplify]: Simplify (- 0) into 0 24.096 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 24.096 * [taylor]: Taking taylor expansion of (cos (- M)) in K 24.096 * [taylor]: Taking taylor expansion of (- M) in K 24.096 * [taylor]: Taking taylor expansion of M in K 24.096 * [backup-simplify]: Simplify M into M 24.096 * [backup-simplify]: Simplify (- M) into (- M) 24.097 * [backup-simplify]: Simplify (- M) into (- M) 24.097 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 24.097 * [backup-simplify]: Simplify (- M) into (- M) 24.097 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 24.097 * [backup-simplify]: Simplify (* (cos (- M)) 1) into (cos (- M)) 24.097 * [backup-simplify]: Simplify (* (sin (- M)) 0) into 0 24.097 * [backup-simplify]: Simplify (- 0) into 0 24.097 * [backup-simplify]: Simplify (+ (cos (- M)) 0) into (cos (- M)) 24.097 * [taylor]: Taking taylor expansion of (cos (- M)) in M 24.097 * [taylor]: Taking taylor expansion of (- M) in M 24.097 * [taylor]: Taking taylor expansion of M in M 24.097 * [backup-simplify]: Simplify 0 into 0 24.097 * [backup-simplify]: Simplify 1 into 1 24.097 * [backup-simplify]: Simplify (- 0) into 0 24.098 * [backup-simplify]: Simplify (- 1) into -1 24.098 * [backup-simplify]: Simplify 1 into 1 24.098 * [backup-simplify]: Simplify (+ 0) into 0 24.098 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 24.098 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 24.099 * [backup-simplify]: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) 24.099 * [backup-simplify]: Simplify (- 0) into 0 24.099 * [backup-simplify]: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) 24.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) 24.099 * [backup-simplify]: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) 24.100 * [backup-simplify]: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) 24.100 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) 24.100 * [taylor]: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K 24.100 * [taylor]: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K 24.100 * [taylor]: Taking taylor expansion of 1/2 in K 24.100 * [backup-simplify]: Simplify 1/2 into 1/2 24.100 * [taylor]: Taking taylor expansion of (* K (sin (- M))) in K 24.100 * [taylor]: Taking taylor expansion of K in K 24.100 * [backup-simplify]: Simplify 0 into 0 24.100 * [backup-simplify]: Simplify 1 into 1 24.100 * [taylor]: Taking taylor expansion of (sin (- M)) in K 24.100 * [taylor]: Taking taylor expansion of (- M) in K 24.100 * [taylor]: Taking taylor expansion of M in K 24.100 * [backup-simplify]: Simplify M into M 24.100 * [backup-simplify]: Simplify (- M) into (- M) 24.100 * [backup-simplify]: Simplify (- M) into (- M) 24.100 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 24.100 * [backup-simplify]: Simplify (- M) into (- M) 24.100 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 24.100 * [backup-simplify]: Simplify (* (sin (- M)) 1) into (sin (- M)) 24.100 * [backup-simplify]: Simplify (* (cos (- M)) 0) into 0 24.100 * [backup-simplify]: Simplify (+ (sin (- M)) 0) into (sin (- M)) 24.100 * [backup-simplify]: Simplify (* 0 (sin (- M))) into 0 24.101 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.101 * [backup-simplify]: Simplify (- 0) into 0 24.101 * [taylor]: Taking taylor expansion of 0 in M 24.101 * [backup-simplify]: Simplify 0 into 0 24.101 * [backup-simplify]: Simplify 0 into 0 24.102 * [backup-simplify]: Simplify (+ 0) into 0 24.102 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 24.103 * [backup-simplify]: Simplify (- 0) into 0 24.103 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.104 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 24.104 * [backup-simplify]: Simplify (- 0) into 0 24.105 * [backup-simplify]: Simplify (+ 0 0) into 0 24.105 * [taylor]: Taking taylor expansion of 0 in M 24.105 * [backup-simplify]: Simplify 0 into 0 24.105 * [backup-simplify]: Simplify 0 into 0 24.105 * [backup-simplify]: Simplify (+ 0) into 0 24.105 * [backup-simplify]: Simplify 0 into 0 24.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) 24.106 * [backup-simplify]: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 24.107 * [backup-simplify]: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 24.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 24.108 * [backup-simplify]: Simplify (- 0) into 0 24.109 * [backup-simplify]: Simplify (+ 0 0) into 0 24.110 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.110 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 24.110 * [backup-simplify]: Simplify (- 0) into 0 24.111 * [backup-simplify]: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) 24.111 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K 24.111 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K 24.111 * [taylor]: Taking taylor expansion of 1/8 in K 24.111 * [backup-simplify]: Simplify 1/8 into 1/8 24.111 * [taylor]: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K 24.111 * [taylor]: Taking taylor expansion of (pow K 2) in K 24.111 * [taylor]: Taking taylor expansion of K in K 24.111 * [backup-simplify]: Simplify 0 into 0 24.111 * [backup-simplify]: Simplify 1 into 1 24.111 * [taylor]: Taking taylor expansion of (cos (- M)) in K 24.111 * [taylor]: Taking taylor expansion of (- M) in K 24.111 * [taylor]: Taking taylor expansion of M in K 24.111 * [backup-simplify]: Simplify M into M 24.111 * [backup-simplify]: Simplify (- M) into (- M) 24.111 * [backup-simplify]: Simplify (- M) into (- M) 24.111 * [backup-simplify]: Simplify (cos (- M)) into (cos (- M)) 24.111 * [backup-simplify]: Simplify (- M) into (- M) 24.111 * [backup-simplify]: Simplify (sin (- M)) into (sin (- M)) 24.112 * [backup-simplify]: Simplify (+ 0) into 0 24.112 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 24.113 * [backup-simplify]: Simplify (- 0) into 0 24.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 24.114 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 24.114 * [backup-simplify]: Simplify (+ 0 0) into 0 24.115 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) 24.115 * [backup-simplify]: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) 24.115 * [backup-simplify]: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) 24.115 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M 24.115 * [taylor]: Taking taylor expansion of (* 1/2 (sin (- M))) in M 24.115 * [taylor]: Taking taylor expansion of 1/2 in M 24.115 * [backup-simplify]: Simplify 1/2 into 1/2 24.115 * [taylor]: Taking taylor expansion of (sin (- M)) in M 24.116 * [taylor]: Taking taylor expansion of (- M) in M 24.116 * [taylor]: Taking taylor expansion of M in M 24.116 * [backup-simplify]: Simplify 0 into 0 24.116 * [backup-simplify]: Simplify 1 into 1 24.116 * [backup-simplify]: Simplify (- 0) into 0 24.116 * [backup-simplify]: Simplify (- 1) into -1 24.117 * [backup-simplify]: Simplify (* 1/2 0) into 0 24.117 * [backup-simplify]: Simplify (- 0) into 0 24.117 * [backup-simplify]: Simplify 0 into 0 24.118 * [backup-simplify]: Simplify (- 0) into 0 24.119 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 24.119 * [backup-simplify]: Simplify (+ (* (cos (- M)) 0) (+ (* 0 0) (* 0 1))) into 0 24.120 * [backup-simplify]: Simplify (- 0) into 0 24.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 24.121 * [backup-simplify]: Simplify (+ (* (sin (- M)) 0) (+ (* 0 0) (* 0 0))) into 0 24.121 * [backup-simplify]: Simplify (- 0) into 0 24.122 * [backup-simplify]: Simplify (+ 0 0) into 0 24.122 * [taylor]: Taking taylor expansion of 0 in M 24.122 * [backup-simplify]: Simplify 0 into 0 24.122 * [backup-simplify]: Simplify 0 into 0 24.122 * [backup-simplify]: Simplify 0 into 0 24.122 * [backup-simplify]: Simplify 1 into 1 24.122 * [backup-simplify]: Simplify (cos (- (* (/ 1 n) (/ (/ 1 K) 2)) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 24.122 * [approximate]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in (n K M) around 0 24.123 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in M 24.123 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in M 24.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 24.123 * [taylor]: Taking taylor expansion of 1/2 in M 24.123 * [backup-simplify]: Simplify 1/2 into 1/2 24.123 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 24.123 * [taylor]: Taking taylor expansion of (* K n) in M 24.123 * [taylor]: Taking taylor expansion of K in M 24.123 * [backup-simplify]: Simplify K into K 24.123 * [taylor]: Taking taylor expansion of n in M 24.123 * [backup-simplify]: Simplify n into n 24.123 * [backup-simplify]: Simplify (* K n) into (* K n) 24.123 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 24.123 * [taylor]: Taking taylor expansion of (/ 1 M) in M 24.123 * [taylor]: Taking taylor expansion of M in M 24.123 * [backup-simplify]: Simplify 0 into 0 24.123 * [backup-simplify]: Simplify 1 into 1 24.123 * [backup-simplify]: Simplify (/ 1 1) into 1 24.124 * [backup-simplify]: Simplify (- 1) into -1 24.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.124 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 24.125 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in K 24.125 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in K 24.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 24.125 * [taylor]: Taking taylor expansion of 1/2 in K 24.125 * [backup-simplify]: Simplify 1/2 into 1/2 24.125 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 24.125 * [taylor]: Taking taylor expansion of (* K n) in K 24.125 * [taylor]: Taking taylor expansion of K in K 24.125 * [backup-simplify]: Simplify 0 into 0 24.125 * [backup-simplify]: Simplify 1 into 1 24.125 * [taylor]: Taking taylor expansion of n in K 24.125 * [backup-simplify]: Simplify n into n 24.125 * [backup-simplify]: Simplify (* 0 n) into 0 24.125 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 24.125 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.125 * [taylor]: Taking taylor expansion of (/ 1 M) in K 24.125 * [taylor]: Taking taylor expansion of M in K 24.125 * [backup-simplify]: Simplify M into M 24.125 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 24.126 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 24.126 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 24.126 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 24.126 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in n 24.126 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 24.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 24.126 * [taylor]: Taking taylor expansion of 1/2 in n 24.126 * [backup-simplify]: Simplify 1/2 into 1/2 24.126 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 24.126 * [taylor]: Taking taylor expansion of (* K n) in n 24.126 * [taylor]: Taking taylor expansion of K in n 24.126 * [backup-simplify]: Simplify K into K 24.126 * [taylor]: Taking taylor expansion of n in n 24.126 * [backup-simplify]: Simplify 0 into 0 24.126 * [backup-simplify]: Simplify 1 into 1 24.126 * [backup-simplify]: Simplify (* K 0) into 0 24.127 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 24.127 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 24.127 * [taylor]: Taking taylor expansion of (/ 1 M) in n 24.127 * [taylor]: Taking taylor expansion of M in n 24.127 * [backup-simplify]: Simplify M into M 24.127 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 24.127 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 24.127 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 24.127 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 24.127 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in n 24.127 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in n 24.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 24.127 * [taylor]: Taking taylor expansion of 1/2 in n 24.127 * [backup-simplify]: Simplify 1/2 into 1/2 24.127 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 24.127 * [taylor]: Taking taylor expansion of (* K n) in n 24.127 * [taylor]: Taking taylor expansion of K in n 24.127 * [backup-simplify]: Simplify K into K 24.127 * [taylor]: Taking taylor expansion of n in n 24.127 * [backup-simplify]: Simplify 0 into 0 24.128 * [backup-simplify]: Simplify 1 into 1 24.128 * [backup-simplify]: Simplify (* K 0) into 0 24.128 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 24.128 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 24.128 * [taylor]: Taking taylor expansion of (/ 1 M) in n 24.128 * [taylor]: Taking taylor expansion of M in n 24.128 * [backup-simplify]: Simplify M into M 24.128 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 24.128 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 24.128 * [backup-simplify]: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) 24.128 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 24.128 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in K 24.128 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in K 24.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 24.128 * [taylor]: Taking taylor expansion of 1/2 in K 24.128 * [backup-simplify]: Simplify 1/2 into 1/2 24.128 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 24.128 * [taylor]: Taking taylor expansion of (* K n) in K 24.128 * [taylor]: Taking taylor expansion of K in K 24.128 * [backup-simplify]: Simplify 0 into 0 24.128 * [backup-simplify]: Simplify 1 into 1 24.128 * [taylor]: Taking taylor expansion of n in K 24.128 * [backup-simplify]: Simplify n into n 24.128 * [backup-simplify]: Simplify (* 0 n) into 0 24.129 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 24.129 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.129 * [taylor]: Taking taylor expansion of (/ 1 M) in K 24.129 * [taylor]: Taking taylor expansion of M in K 24.129 * [backup-simplify]: Simplify M into M 24.129 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 24.129 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 24.129 * [backup-simplify]: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) 24.129 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 24.129 * [taylor]: Taking taylor expansion of (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) in M 24.129 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* K n))) (/ 1 M)) in M 24.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 24.129 * [taylor]: Taking taylor expansion of 1/2 in M 24.129 * [backup-simplify]: Simplify 1/2 into 1/2 24.129 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 24.129 * [taylor]: Taking taylor expansion of (* K n) in M 24.129 * [taylor]: Taking taylor expansion of K in M 24.129 * [backup-simplify]: Simplify K into K 24.129 * [taylor]: Taking taylor expansion of n in M 24.129 * [backup-simplify]: Simplify n into n 24.129 * [backup-simplify]: Simplify (* K n) into (* K n) 24.129 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 24.129 * [taylor]: Taking taylor expansion of (/ 1 M) in M 24.129 * [taylor]: Taking taylor expansion of M in M 24.129 * [backup-simplify]: Simplify 0 into 0 24.129 * [backup-simplify]: Simplify 1 into 1 24.130 * [backup-simplify]: Simplify (/ 1 1) into 1 24.130 * [backup-simplify]: Simplify (- 1) into -1 24.130 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.131 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 24.131 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) into (cos (- (* 1/2 (/ 1 (* K n))) (/ 1 M))) 24.131 * [taylor]: Taking taylor expansion of 0 in K 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [taylor]: Taking taylor expansion of 0 in M 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [taylor]: Taking taylor expansion of 0 in M 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [taylor]: Taking taylor expansion of 0 in K 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [taylor]: Taking taylor expansion of 0 in M 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [taylor]: Taking taylor expansion of 0 in M 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [taylor]: Taking taylor expansion of 0 in M 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [backup-simplify]: Simplify (cos (- (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n)))) (/ 1 (/ 1 M)))) into (cos (- (* 1/2 (* K n)) M)) 24.131 * [backup-simplify]: Simplify (cos (- (* (/ 1 (- n)) (/ (/ 1 (- K)) 2)) (/ 1 (- M)))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 24.131 * [approximate]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in (n K M) around 0 24.131 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in M 24.131 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in M 24.131 * [taylor]: Taking taylor expansion of (/ 1 M) in M 24.131 * [taylor]: Taking taylor expansion of M in M 24.131 * [backup-simplify]: Simplify 0 into 0 24.131 * [backup-simplify]: Simplify 1 into 1 24.132 * [backup-simplify]: Simplify (/ 1 1) into 1 24.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 24.132 * [taylor]: Taking taylor expansion of 1/2 in M 24.132 * [backup-simplify]: Simplify 1/2 into 1/2 24.132 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 24.132 * [taylor]: Taking taylor expansion of (* K n) in M 24.132 * [taylor]: Taking taylor expansion of K in M 24.132 * [backup-simplify]: Simplify K into K 24.132 * [taylor]: Taking taylor expansion of n in M 24.132 * [backup-simplify]: Simplify n into n 24.132 * [backup-simplify]: Simplify (* K n) into (* K n) 24.132 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 24.132 * [backup-simplify]: Simplify (+ 1 0) into 1 24.132 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 24.132 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in K 24.132 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in K 24.132 * [taylor]: Taking taylor expansion of (/ 1 M) in K 24.132 * [taylor]: Taking taylor expansion of M in K 24.132 * [backup-simplify]: Simplify M into M 24.133 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 24.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 24.133 * [taylor]: Taking taylor expansion of 1/2 in K 24.133 * [backup-simplify]: Simplify 1/2 into 1/2 24.133 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 24.133 * [taylor]: Taking taylor expansion of (* K n) in K 24.133 * [taylor]: Taking taylor expansion of K in K 24.133 * [backup-simplify]: Simplify 0 into 0 24.133 * [backup-simplify]: Simplify 1 into 1 24.133 * [taylor]: Taking taylor expansion of n in K 24.133 * [backup-simplify]: Simplify n into n 24.133 * [backup-simplify]: Simplify (* 0 n) into 0 24.133 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 24.133 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.133 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 24.133 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 24.133 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 24.133 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in n 24.133 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 24.133 * [taylor]: Taking taylor expansion of (/ 1 M) in n 24.133 * [taylor]: Taking taylor expansion of M in n 24.133 * [backup-simplify]: Simplify M into M 24.133 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 24.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 24.133 * [taylor]: Taking taylor expansion of 1/2 in n 24.133 * [backup-simplify]: Simplify 1/2 into 1/2 24.133 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 24.133 * [taylor]: Taking taylor expansion of (* K n) in n 24.133 * [taylor]: Taking taylor expansion of K in n 24.133 * [backup-simplify]: Simplify K into K 24.133 * [taylor]: Taking taylor expansion of n in n 24.133 * [backup-simplify]: Simplify 0 into 0 24.133 * [backup-simplify]: Simplify 1 into 1 24.133 * [backup-simplify]: Simplify (* K 0) into 0 24.134 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 24.134 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 24.134 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 24.134 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 24.134 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 24.134 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in n 24.134 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in n 24.134 * [taylor]: Taking taylor expansion of (/ 1 M) in n 24.134 * [taylor]: Taking taylor expansion of M in n 24.134 * [backup-simplify]: Simplify M into M 24.134 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 24.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n 24.134 * [taylor]: Taking taylor expansion of 1/2 in n 24.134 * [backup-simplify]: Simplify 1/2 into 1/2 24.134 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in n 24.134 * [taylor]: Taking taylor expansion of (* K n) in n 24.134 * [taylor]: Taking taylor expansion of K in n 24.134 * [backup-simplify]: Simplify K into K 24.134 * [taylor]: Taking taylor expansion of n in n 24.134 * [backup-simplify]: Simplify 0 into 0 24.134 * [backup-simplify]: Simplify 1 into 1 24.134 * [backup-simplify]: Simplify (* K 0) into 0 24.135 * [backup-simplify]: Simplify (+ (* K 1) (* 0 0)) into K 24.135 * [backup-simplify]: Simplify (/ 1 K) into (/ 1 K) 24.135 * [backup-simplify]: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) 24.135 * [backup-simplify]: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) 24.135 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 24.135 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in K 24.135 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in K 24.135 * [taylor]: Taking taylor expansion of (/ 1 M) in K 24.135 * [taylor]: Taking taylor expansion of M in K 24.135 * [backup-simplify]: Simplify M into M 24.135 * [backup-simplify]: Simplify (/ 1 M) into (/ 1 M) 24.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K 24.135 * [taylor]: Taking taylor expansion of 1/2 in K 24.135 * [backup-simplify]: Simplify 1/2 into 1/2 24.135 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in K 24.135 * [taylor]: Taking taylor expansion of (* K n) in K 24.135 * [taylor]: Taking taylor expansion of K in K 24.135 * [backup-simplify]: Simplify 0 into 0 24.135 * [backup-simplify]: Simplify 1 into 1 24.135 * [taylor]: Taking taylor expansion of n in K 24.135 * [backup-simplify]: Simplify n into n 24.135 * [backup-simplify]: Simplify (* 0 n) into 0 24.135 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 n)) into n 24.135 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 24.135 * [backup-simplify]: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) 24.136 * [backup-simplify]: Simplify (+ 0 (/ 1/2 n)) into (* 1/2 (/ 1 n)) 24.136 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 24.136 * [taylor]: Taking taylor expansion of (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) in M 24.136 * [taylor]: Taking taylor expansion of (+ (/ 1 M) (* 1/2 (/ 1 (* K n)))) in M 24.136 * [taylor]: Taking taylor expansion of (/ 1 M) in M 24.136 * [taylor]: Taking taylor expansion of M in M 24.136 * [backup-simplify]: Simplify 0 into 0 24.136 * [backup-simplify]: Simplify 1 into 1 24.136 * [backup-simplify]: Simplify (/ 1 1) into 1 24.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M 24.136 * [taylor]: Taking taylor expansion of 1/2 in M 24.136 * [backup-simplify]: Simplify 1/2 into 1/2 24.136 * [taylor]: Taking taylor expansion of (/ 1 (* K n)) in M 24.136 * [taylor]: Taking taylor expansion of (* K n) in M 24.136 * [taylor]: Taking taylor expansion of K in M 24.136 * [backup-simplify]: Simplify K into K 24.136 * [taylor]: Taking taylor expansion of n in M 24.136 * [backup-simplify]: Simplify n into n 24.136 * [backup-simplify]: Simplify (* K n) into (* K n) 24.136 * [backup-simplify]: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) 24.136 * [backup-simplify]: Simplify (+ 1 0) into 1 24.137 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 24.137 * [backup-simplify]: Simplify (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) into (cos (+ (/ 1 M) (* 1/2 (/ 1 (* K n))))) 24.137 * [taylor]: Taking taylor expansion of 0 in K 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [taylor]: Taking taylor expansion of 0 in M 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [taylor]: Taking taylor expansion of 0 in M 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [taylor]: Taking taylor expansion of 0 in K 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [taylor]: Taking taylor expansion of 0 in M 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [taylor]: Taking taylor expansion of 0 in M 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [taylor]: Taking taylor expansion of 0 in M 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [backup-simplify]: Simplify 0 into 0 24.137 * [backup-simplify]: Simplify (cos (+ (/ 1 (/ 1 (- M))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n))))))) into (cos (- (* 1/2 (* K n)) M)) 24.137 * * * [progress]: simplifying candidates 24.137 * * * * [progress]: [ 1 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.137 * * * * [progress]: [ 2 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.137 * * * * [progress]: [ 3 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) 1) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.137 * * * * [progress]: [ 4 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.138 * * * * [progress]: [ 5 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.138 * * * * [progress]: [ 6 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2)))))) (cbrt (posit16->real (real->posit16 (sin (* m (/ K 2))))))) (cbrt (posit16->real (real->posit16 (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.138 * * * * [progress]: [ 7 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (posit16->real (real->posit16 (sin (* m (/ K 2)))))) (posit16->real (real->posit16 (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.138 * * * * [progress]: [ 8 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2)))))) (sqrt (posit16->real (real->posit16 (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.138 * * * * [progress]: [ 9 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2)))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.138 * * * * [progress]: [ 10 / 59 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.138 * * * * [progress]: [ 11 / 59 ] simplifiying candidate # 24.138 * [simplify]: Simplifying (* m (/ K 2)) 24.138 * * [simplify]: iters left: 4 (5 enodes) 24.140 * * [simplify]: iters left: 3 (18 enodes) 24.142 * * [simplify]: iters left: 2 (24 enodes) 24.146 * * [simplify]: iters left: 1 (28 enodes) 24.150 * * [simplify]: Extracting #0: cost 1 inf + 0 24.150 * * [simplify]: Extracting #1: cost 10 inf + 0 24.150 * * [simplify]: Extracting #2: cost 9 inf + 87 24.150 * * [simplify]: Extracting #3: cost 0 inf + 547 24.150 * [simplify]: Simplified to (* (/ K 2) m) 24.150 * [simplify]: Simplified (2 1 2 1 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* (/ K 2) m)) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.151 * * * * [progress]: [ 12 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 13 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 14 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 15 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 16 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 17 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 18 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 19 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 20 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 21 / 59 ] simplifiying candidate #real (real->posit16 (cos (* m (/ K 2))))) (cos (- (* n (/ K 2)) M))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 22 / 59 ] simplifiying candidate #real (real->posit16 (log1p (expm1 (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 23 / 59 ] simplifiying candidate #real (real->posit16 (expm1 (log1p (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 24 / 59 ] simplifiying candidate #real (real->posit16 (pow (sin (* m (/ K 2))) 1))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 25 / 59 ] simplifiying candidate #real (real->posit16 (exp (log (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 26 / 59 ] simplifiying candidate #real (real->posit16 (log (exp (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 27 / 59 ] simplifiying candidate #real (real->posit16 (* (* (cbrt (sin (* m (/ K 2)))) (cbrt (sin (* m (/ K 2))))) (cbrt (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 28 / 59 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (sin (* m (/ K 2))) (sin (* m (/ K 2)))) (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 29 / 59 ] simplifiying candidate #real (real->posit16 (* (sqrt (sin (* m (/ K 2)))) (sqrt (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.151 * * * * [progress]: [ 30 / 59 ] simplifiying candidate #real (real->posit16 (* 1 (sin (* m (/ K 2)))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.152 * * * * [progress]: [ 31 / 59 ] simplifiying candidate #real (real->posit16 (posit16->real (real->posit16 (sin (* m (/ K 2))))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.152 * * * * [progress]: [ 32 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.152 * * * * [progress]: [ 33 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.152 * * * * [progress]: [ 34 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.152 * [simplify]: Simplifying (* (cos (fma n (/ K 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (cos (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))) 24.152 * * [simplify]: iters left: 6 (15 enodes) 24.155 * * [simplify]: iters left: 5 (55 enodes) 24.168 * * [simplify]: iters left: 4 (70 enodes) 24.193 * * [simplify]: iters left: 3 (82 enodes) 24.213 * * [simplify]: iters left: 2 (86 enodes) 24.234 * * [simplify]: iters left: 1 (90 enodes) 24.255 * * [simplify]: Extracting #0: cost 1 inf + 0 24.255 * * [simplify]: Extracting #1: cost 4 inf + 0 24.255 * * [simplify]: Extracting #2: cost 8 inf + 0 24.255 * * [simplify]: Extracting #3: cost 19 inf + 0 24.256 * * [simplify]: Extracting #4: cost 29 inf + 83 24.256 * * [simplify]: Extracting #5: cost 19 inf + 1240 24.257 * * [simplify]: Extracting #6: cost 7 inf + 2124 24.258 * * [simplify]: Extracting #7: cost 1 inf + 3064 24.260 * * [simplify]: Extracting #8: cost 0 inf + 3428 24.261 * [simplify]: Simplified to (* (cos (- (* (/ K 2) n) M)) (cos (+ (- M) M))) 24.261 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos (- (* (/ K 2) n) M)) (cos (+ (- M) M))) (* (sin (fma n (/ K 2) (- (* (cbrt M) (* (cbrt M) (cbrt M)))))) (sin (fma (- (cbrt M)) (* (cbrt M) (cbrt M)) (* (cbrt M) (* (cbrt M) (cbrt M)))))))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.262 * * * * [progress]: [ 35 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.262 * [simplify]: Simplifying (* (cos (fma n (/ K 2) (- (* (sqrt M) (sqrt M))))) (cos (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))) 24.262 * * [simplify]: iters left: 6 (14 enodes) 24.268 * * [simplify]: iters left: 5 (45 enodes) 24.274 * * [simplify]: iters left: 4 (55 enodes) 24.282 * * [simplify]: iters left: 3 (65 enodes) 24.291 * * [simplify]: iters left: 2 (70 enodes) 24.299 * * [simplify]: iters left: 1 (75 enodes) 24.317 * * [simplify]: Extracting #0: cost 1 inf + 0 24.317 * * [simplify]: Extracting #1: cost 4 inf + 0 24.317 * * [simplify]: Extracting #2: cost 5 inf + 1 24.317 * * [simplify]: Extracting #3: cost 13 inf + 1 24.317 * * [simplify]: Extracting #4: cost 20 inf + 85 24.317 * * [simplify]: Extracting #5: cost 15 inf + 457 24.317 * * [simplify]: Extracting #6: cost 3 inf + 1450 24.318 * * [simplify]: Extracting #7: cost 0 inf + 1983 24.318 * [simplify]: Simplified to (* (cos (- (/ n (/ 2 K)) M)) 1) 24.318 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos (- (/ n (/ 2 K)) M)) 1) (* (sin (fma n (/ K 2) (- (* (sqrt M) (sqrt M))))) (sin (fma (- (sqrt M)) (sqrt M) (* (sqrt M) (sqrt M))))))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.319 * * * * [progress]: [ 36 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.319 * [simplify]: Simplifying (* (cos (fma n (/ K 2) (- (* M 1)))) (cos (fma (- M) 1 (* M 1)))) 24.319 * * [simplify]: iters left: 6 (14 enodes) 24.323 * * [simplify]: iters left: 5 (45 enodes) 24.329 * * [simplify]: iters left: 4 (59 enodes) 24.338 * * [simplify]: iters left: 3 (70 enodes) 24.347 * * [simplify]: iters left: 2 (76 enodes) 24.363 * * [simplify]: iters left: 1 (80 enodes) 24.382 * * [simplify]: Extracting #0: cost 1 inf + 0 24.382 * * [simplify]: Extracting #1: cost 4 inf + 0 24.382 * * [simplify]: Extracting #2: cost 8 inf + 0 24.382 * * [simplify]: Extracting #3: cost 16 inf + 0 24.382 * * [simplify]: Extracting #4: cost 20 inf + 125 24.382 * * [simplify]: Extracting #5: cost 16 inf + 516 24.383 * * [simplify]: Extracting #6: cost 4 inf + 1788 24.384 * * [simplify]: Extracting #7: cost 0 inf + 2461 24.385 * [simplify]: Simplified to (* (cos (- (/ K (/ 2 n)) M)) (cos (+ (- M) M))) 24.385 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos (- (/ K (/ 2 n)) M)) (cos (+ (- M) M))) (* (sin (fma n (/ K 2) (- (* M 1)))) (sin (fma (- M) 1 (* M 1)))))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.386 * * * * [progress]: [ 37 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.386 * [simplify]: Simplifying (* (cos (* n (/ K 2))) (cos (- M))) 24.386 * * [simplify]: iters left: 6 (10 enodes) 24.391 * * [simplify]: iters left: 5 (35 enodes) 24.401 * * [simplify]: iters left: 4 (41 enodes) 24.413 * * [simplify]: iters left: 3 (45 enodes) 24.428 * * [simplify]: iters left: 2 (49 enodes) 24.441 * * [simplify]: iters left: 1 (52 enodes) 24.455 * * [simplify]: Extracting #0: cost 1 inf + 0 24.455 * * [simplify]: Extracting #1: cost 4 inf + 0 24.455 * * [simplify]: Extracting #2: cost 9 inf + 0 24.455 * * [simplify]: Extracting #3: cost 15 inf + 164 24.455 * * [simplify]: Extracting #4: cost 14 inf + 292 24.456 * * [simplify]: Extracting #5: cost 4 inf + 1056 24.456 * * [simplify]: Extracting #6: cost 0 inf + 1568 24.457 * [simplify]: Simplified to (* (cos M) (cos (* (/ K 2) n))) 24.457 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos M) (cos (* (/ K 2) n))) (* (sin (* n (/ K 2))) (sin (- M))))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.457 * * * * [progress]: [ 38 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.458 * [simplify]: Simplifying (* (cos (* n (/ K 2))) (cos (- M))) 24.458 * * [simplify]: iters left: 6 (10 enodes) 24.463 * * [simplify]: iters left: 5 (35 enodes) 24.473 * * [simplify]: iters left: 4 (41 enodes) 24.480 * * [simplify]: iters left: 3 (45 enodes) 24.487 * * [simplify]: iters left: 2 (49 enodes) 24.494 * * [simplify]: iters left: 1 (52 enodes) 24.501 * * [simplify]: Extracting #0: cost 1 inf + 0 24.501 * * [simplify]: Extracting #1: cost 4 inf + 0 24.501 * * [simplify]: Extracting #2: cost 9 inf + 0 24.501 * * [simplify]: Extracting #3: cost 15 inf + 164 24.501 * * [simplify]: Extracting #4: cost 14 inf + 292 24.501 * * [simplify]: Extracting #5: cost 4 inf + 1056 24.501 * * [simplify]: Extracting #6: cost 0 inf + 1568 24.502 * [simplify]: Simplified to (* (cos M) (cos (* (/ K 2) n))) 24.502 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (- (* (cos M) (cos (* (/ K 2) n))) (* (sin (* n (/ K 2))) (sin (- M))))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.502 * * * * [progress]: [ 39 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.502 * [simplify]: Simplifying (* (cos (* n (/ K 2))) (cos M)) 24.502 * * [simplify]: iters left: 6 (9 enodes) 24.504 * * [simplify]: iters left: 5 (31 enodes) 24.509 * * [simplify]: iters left: 4 (37 enodes) 24.514 * * [simplify]: iters left: 3 (41 enodes) 24.520 * * [simplify]: iters left: 2 (45 enodes) 24.526 * * [simplify]: iters left: 1 (48 enodes) 24.534 * * [simplify]: Extracting #0: cost 1 inf + 0 24.534 * * [simplify]: Extracting #1: cost 4 inf + 0 24.534 * * [simplify]: Extracting #2: cost 8 inf + 0 24.534 * * [simplify]: Extracting #3: cost 14 inf + 123 24.534 * * [simplify]: Extracting #4: cost 15 inf + 168 24.534 * * [simplify]: Extracting #5: cost 4 inf + 772 24.535 * * [simplify]: Extracting #6: cost 0 inf + 1486 24.535 * [simplify]: Simplified to (* (cos M) (cos (* (/ K 2) n))) 24.535 * [simplify]: Simplified (2 1 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (+ (* (cos M) (cos (* (/ K 2) n))) (* (sin (* n (/ K 2))) (sin M)))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.535 * * * * [progress]: [ 40 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.535 * * * * [progress]: [ 41 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.535 * * * * [progress]: [ 42 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.535 * * * * [progress]: [ 43 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.535 * * * * [progress]: [ 44 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.535 * * * * [progress]: [ 45 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.536 * * * * [progress]: [ 46 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.536 * * * * [progress]: [ 47 / 59 ] simplifiying candidate #real (real->posit16 (cos (- (* n (/ K 2)) M))))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.536 * * * * [progress]: [ 48 / 59 ] simplifiying candidate # 24.536 * [simplify]: Simplifying (* 1/2 (* K m)) 24.536 * * [simplify]: iters left: 4 (5 enodes) 24.539 * * [simplify]: iters left: 3 (19 enodes) 24.545 * * [simplify]: iters left: 2 (27 enodes) 24.553 * * [simplify]: iters left: 1 (32 enodes) 24.561 * * [simplify]: Extracting #0: cost 1 inf + 0 24.561 * * [simplify]: Extracting #1: cost 8 inf + 0 24.561 * * [simplify]: Extracting #2: cost 7 inf + 45 24.561 * * [simplify]: Extracting #3: cost 0 inf + 421 24.562 * [simplify]: Simplified to (* (* m K) 1/2) 24.562 * [simplify]: Simplified (2 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (* (* m K) 1/2) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.562 * * * * [progress]: [ 49 / 59 ] simplifiying candidate # 24.562 * [simplify]: Simplifying (sin (* 1/2 (* m K))) 24.562 * * [simplify]: iters left: 5 (6 enodes) 24.566 * * [simplify]: iters left: 4 (22 enodes) 24.573 * * [simplify]: iters left: 3 (30 enodes) 24.582 * * [simplify]: iters left: 2 (35 enodes) 24.590 * * [simplify]: Extracting #0: cost 1 inf + 0 24.590 * * [simplify]: Extracting #1: cost 3 inf + 0 24.591 * * [simplify]: Extracting #2: cost 10 inf + 0 24.591 * * [simplify]: Extracting #3: cost 10 inf + 3 24.591 * * [simplify]: Extracting #4: cost 6 inf + 171 24.591 * * [simplify]: Extracting #5: cost 1 inf + 564 24.591 * * [simplify]: Extracting #6: cost 0 inf + 707 24.592 * [simplify]: Simplified to (sin (* (* K m) 1/2)) 24.592 * [simplify]: Simplified (2 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* (* K m) 1/2)) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.592 * * * * [progress]: [ 50 / 59 ] simplifiying candidate # 24.593 * [simplify]: Simplifying (sin (* 1/2 (* m K))) 24.593 * * [simplify]: iters left: 5 (6 enodes) 24.596 * * [simplify]: iters left: 4 (22 enodes) 24.603 * * [simplify]: iters left: 3 (30 enodes) 24.612 * * [simplify]: iters left: 2 (35 enodes) 24.621 * * [simplify]: Extracting #0: cost 1 inf + 0 24.621 * * [simplify]: Extracting #1: cost 3 inf + 0 24.621 * * [simplify]: Extracting #2: cost 10 inf + 0 24.621 * * [simplify]: Extracting #3: cost 10 inf + 3 24.621 * * [simplify]: Extracting #4: cost 6 inf + 171 24.622 * * [simplify]: Extracting #5: cost 1 inf + 564 24.622 * * [simplify]: Extracting #6: cost 0 inf + 707 24.622 * [simplify]: Simplified to (sin (* (* K m) 1/2)) 24.623 * [simplify]: Simplified (2 1 2 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (sin (* (* K m) 1/2)) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.623 * * * * [progress]: [ 51 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.623 * [simplify]: Simplifying 1 24.623 * * [simplify]: iters left: 0 (1 enodes) 24.624 * * [simplify]: Extracting #0: cost 1 inf + 0 24.624 * * [simplify]: Extracting #1: cost 0 inf + 1 24.624 * [simplify]: Simplified to 1 24.624 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (- (* 1 (cos (- (* n (/ K 2)) M))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.625 * * * * [progress]: [ 52 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.625 * [simplify]: Simplifying (cos (* 1/2 (* m K))) 24.625 * * [simplify]: iters left: 5 (6 enodes) 24.628 * * [simplify]: iters left: 4 (22 enodes) 24.635 * * [simplify]: iters left: 3 (30 enodes) 24.644 * * [simplify]: iters left: 2 (35 enodes) 24.653 * * [simplify]: Extracting #0: cost 1 inf + 0 24.653 * * [simplify]: Extracting #1: cost 3 inf + 0 24.653 * * [simplify]: Extracting #2: cost 10 inf + 0 24.653 * * [simplify]: Extracting #3: cost 10 inf + 3 24.654 * * [simplify]: Extracting #4: cost 6 inf + 171 24.654 * * [simplify]: Extracting #5: cost 1 inf + 564 24.654 * * [simplify]: Extracting #6: cost 0 inf + 707 24.655 * [simplify]: Simplified to (cos (* (* K m) 1/2)) 24.655 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (- (* (cos (* (* K m) 1/2)) (cos (- (* n (/ K 2)) M))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.655 * * * * [progress]: [ 53 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.655 * [simplify]: Simplifying (cos (* 1/2 (* m K))) 24.655 * * [simplify]: iters left: 5 (6 enodes) 24.659 * * [simplify]: iters left: 4 (22 enodes) 24.665 * * [simplify]: iters left: 3 (30 enodes) 24.674 * * [simplify]: iters left: 2 (35 enodes) 24.685 * * [simplify]: Extracting #0: cost 1 inf + 0 24.685 * * [simplify]: Extracting #1: cost 3 inf + 0 24.685 * * [simplify]: Extracting #2: cost 10 inf + 0 24.686 * * [simplify]: Extracting #3: cost 10 inf + 3 24.686 * * [simplify]: Extracting #4: cost 6 inf + 171 24.686 * * [simplify]: Extracting #5: cost 1 inf + 564 24.686 * * [simplify]: Extracting #6: cost 0 inf + 707 24.687 * [simplify]: Simplified to (cos (* (* K m) 1/2)) 24.687 * [simplify]: Simplified (2 1 1 1) to (λ (K m n M l) (/ (- (* (cos (* (* K m) 1/2)) (cos (- (* n (/ K 2)) M))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.687 * * * * [progress]: [ 54 / 59 ] simplifiying candidate #real (real->posit16 (* 1/2 (* K m)))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.687 * [simplify]: Simplifying (* 1/2 (* K m)) 24.687 * * [simplify]: iters left: 4 (5 enodes) 24.690 * * [simplify]: iters left: 3 (19 enodes) 24.697 * * [simplify]: iters left: 2 (27 enodes) 24.705 * * [simplify]: iters left: 1 (32 enodes) 24.713 * * [simplify]: Extracting #0: cost 1 inf + 0 24.713 * * [simplify]: Extracting #1: cost 8 inf + 0 24.713 * * [simplify]: Extracting #2: cost 7 inf + 45 24.714 * * [simplify]: Extracting #3: cost 0 inf + 421 24.714 * [simplify]: Simplified to (* (* m K) 1/2) 24.714 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (posit16->real (real->posit16 (* (* m K) 1/2))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.714 * * * * [progress]: [ 55 / 59 ] simplifiying candidate #real (real->posit16 (sin (* 1/2 (* m K))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.715 * [simplify]: Simplifying (sin (* 1/2 (* m K))) 24.715 * * [simplify]: iters left: 5 (6 enodes) 24.718 * * [simplify]: iters left: 4 (22 enodes) 24.725 * * [simplify]: iters left: 3 (30 enodes) 24.734 * * [simplify]: iters left: 2 (35 enodes) 24.743 * * [simplify]: Extracting #0: cost 1 inf + 0 24.743 * * [simplify]: Extracting #1: cost 3 inf + 0 24.743 * * [simplify]: Extracting #2: cost 10 inf + 0 24.743 * * [simplify]: Extracting #3: cost 10 inf + 3 24.743 * * [simplify]: Extracting #4: cost 6 inf + 171 24.743 * * [simplify]: Extracting #5: cost 1 inf + 564 24.744 * * [simplify]: Extracting #6: cost 0 inf + 707 24.744 * [simplify]: Simplified to (sin (* (* K m) 1/2)) 24.744 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (posit16->real (real->posit16 (sin (* (* K m) 1/2)))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.745 * * * * [progress]: [ 56 / 59 ] simplifiying candidate #real (real->posit16 (sin (* 1/2 (* m K))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.745 * [simplify]: Simplifying (sin (* 1/2 (* m K))) 24.745 * * [simplify]: iters left: 5 (6 enodes) 24.748 * * [simplify]: iters left: 4 (22 enodes) 24.755 * * [simplify]: iters left: 3 (30 enodes) 24.764 * * [simplify]: iters left: 2 (35 enodes) 24.773 * * [simplify]: Extracting #0: cost 1 inf + 0 24.773 * * [simplify]: Extracting #1: cost 3 inf + 0 24.773 * * [simplify]: Extracting #2: cost 10 inf + 0 24.773 * * [simplify]: Extracting #3: cost 10 inf + 3 24.773 * * [simplify]: Extracting #4: cost 6 inf + 171 24.774 * * [simplify]: Extracting #5: cost 1 inf + 564 24.774 * * [simplify]: Extracting #6: cost 0 inf + 707 24.774 * [simplify]: Simplified to (sin (* (* K m) 1/2)) 24.774 * [simplify]: Simplified (2 1 2 1 1 1) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* n (/ K 2)) M))) (* (posit16->real (real->posit16 (sin (* (* K m) 1/2)))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.775 * * * * [progress]: [ 57 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.775 * [simplify]: Simplifying 1 24.775 * * [simplify]: iters left: 0 (1 enodes) 24.776 * * [simplify]: Extracting #0: cost 1 inf + 0 24.776 * * [simplify]: Extracting #1: cost 0 inf + 1 24.776 * [simplify]: Simplified to 1 24.776 * [simplify]: Simplified (2 1 1 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) 1) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.777 * * * * [progress]: [ 58 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.777 * [simplify]: Simplifying (cos (- (* 1/2 (* K n)) M)) 24.777 * * [simplify]: iters left: 6 (8 enodes) 24.781 * * [simplify]: iters left: 5 (31 enodes) 24.789 * * [simplify]: iters left: 4 (44 enodes) 24.796 * * [simplify]: iters left: 3 (53 enodes) 24.802 * * [simplify]: Extracting #0: cost 1 inf + 0 24.802 * * [simplify]: Extracting #1: cost 3 inf + 0 24.802 * * [simplify]: Extracting #2: cost 13 inf + 0 24.802 * * [simplify]: Extracting #3: cost 13 inf + 46 24.802 * * [simplify]: Extracting #4: cost 3 inf + 811 24.803 * * [simplify]: Extracting #5: cost 0 inf + 1120 24.803 * [simplify]: Simplified to (cos (- (* (* n K) 1/2) M)) 24.803 * [simplify]: Simplified (2 1 1 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* (* n K) 1/2) M))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.803 * * * * [progress]: [ 59 / 59 ] simplifiying candidate #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))> 24.803 * [simplify]: Simplifying (cos (- (* 1/2 (* K n)) M)) 24.804 * * [simplify]: iters left: 6 (8 enodes) 24.806 * * [simplify]: iters left: 5 (31 enodes) 24.812 * * [simplify]: iters left: 4 (44 enodes) 24.821 * * [simplify]: iters left: 3 (53 enodes) 24.833 * * [simplify]: Extracting #0: cost 1 inf + 0 24.833 * * [simplify]: Extracting #1: cost 3 inf + 0 24.833 * * [simplify]: Extracting #2: cost 13 inf + 0 24.833 * * [simplify]: Extracting #3: cost 13 inf + 46 24.833 * * [simplify]: Extracting #4: cost 3 inf + 811 24.834 * * [simplify]: Extracting #5: cost 0 inf + 1120 24.835 * [simplify]: Simplified to (cos (- (* (* n K) 1/2) M)) 24.835 * [simplify]: Simplified (2 1 1 2) to (λ (K m n M l) (/ (- (* (cos (* m (/ K 2))) (cos (- (* (* n K) 1/2) M))) (* (posit16->real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n)))))) 24.835 * * * [progress]: adding candidates to table 27.309 * [progress]: [Phase 3 of 3] Extracting. 27.309 * * [regime]: Finding splitpoints for: (#real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (fabs (- m n))))))> # # # #real (real->posit16 (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))))> #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))>) 27.311 * * * [regime-changes]: Trying 5 branch expressions: (l M n m K) 27.311 * * * * [regimes]: Trying to branch on l from (#real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (fabs (- m n))))))> # # # #real (real->posit16 (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))))> #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))>) 27.429 * * * * [regimes]: Trying to branch on M from (#real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (fabs (- m n))))))> # # # #real (real->posit16 (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))))> #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))>) 27.575 * * * * [regimes]: Trying to branch on n from (#real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (fabs (- m n))))))> # # # #real (real->posit16 (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))))> #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))>) 27.692 * * * * [regimes]: Trying to branch on m from (#real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (fabs (- m n))))))> # # # #real (real->posit16 (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))))> #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))>) 27.813 * * * * [regimes]: Trying to branch on K from (#real (real->posit16 (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l))) (fabs (- m n))))))> # # # #real (real->posit16 (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))))> #real (real->posit16 (sin (* m (/ K 2))))) (sin (- (* n (/ K 2)) M)))) (exp (- (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l) (fabs (- m n))))))>) 27.905 * * * [regime]: Found split indices: #