10.208 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.042 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.043 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.043 * * [simplify]: iteration 0: 15 enodes 0.046 * * [simplify]: iteration 1: 33 enodes 0.053 * * [simplify]: iteration 2: 95 enodes 0.097 * * [simplify]: iteration 3: 361 enodes 0.320 * * [simplify]: iteration 4: 1503 enodes 1.595 * * [simplify]: iteration complete: 5001 enodes 1.595 * * [simplify]: Extracting #0: cost 1 inf + 0 1.596 * * [simplify]: Extracting #1: cost 127 inf + 0 1.603 * * [simplify]: Extracting #2: cost 907 inf + 87 1.609 * * [simplify]: Extracting #3: cost 1444 inf + 3995 1.621 * * [simplify]: Extracting #4: cost 1119 inf + 51055 1.659 * * [simplify]: Extracting #5: cost 311 inf + 191385 1.723 * * [simplify]: Extracting #6: cost 11 inf + 250939 1.786 * * [simplify]: Extracting #7: cost 0 inf + 253106 1.886 * [simplify]: Simplified to: (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a))) 1.893 * * [progress]: iteration 1 / 4 1.893 * * * [progress]: picking best candidate 1.904 * * * * [pick]: Picked # 1.904 * * * [progress]: localizing error 1.951 * * * [progress]: generating rewritten candidates 1.951 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.982 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.999 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 3) 2.013 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.018 * * * [progress]: generating series expansions 2.018 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.027 * [backup-simplify]: Simplify (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a))) into (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (- (pow b 2) (pow a 2))) 2.027 * [approximate]: Taking taylor expansion of (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (- (pow b 2) (pow a 2))) in (b a) around 0 2.028 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (- (pow b 2) (pow a 2))) in a 2.028 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in a 2.030 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 2.030 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in a 2.030 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.030 * [taylor]: Taking taylor expansion of 1/2 in a 2.030 * [backup-simplify]: Simplify 1/2 into 1/2 2.030 * [taylor]: Taking taylor expansion of PI in a 2.030 * [backup-simplify]: Simplify PI into PI 2.030 * [taylor]: Taking taylor expansion of (/ -1 b) in a 2.030 * [taylor]: Taking taylor expansion of -1 in a 2.030 * [backup-simplify]: Simplify -1 into -1 2.030 * [taylor]: Taking taylor expansion of b in a 2.030 * [backup-simplify]: Simplify b into b 2.030 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 2.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.030 * [taylor]: Taking taylor expansion of 1/2 in a 2.031 * [backup-simplify]: Simplify 1/2 into 1/2 2.031 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.031 * [taylor]: Taking taylor expansion of PI in a 2.031 * [backup-simplify]: Simplify PI into PI 2.031 * [taylor]: Taking taylor expansion of a in a 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ PI 1) into PI 2.032 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.032 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.032 * [taylor]: Taking taylor expansion of b in a 2.032 * [backup-simplify]: Simplify b into b 2.032 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.032 * [taylor]: Taking taylor expansion of a in a 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.034 * [backup-simplify]: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) 2.035 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.035 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.035 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 2.035 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (- (pow b 2) (pow a 2))) in b 2.035 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in b 2.035 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 2.035 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in b 2.035 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.035 * [taylor]: Taking taylor expansion of 1/2 in b 2.035 * [backup-simplify]: Simplify 1/2 into 1/2 2.035 * [taylor]: Taking taylor expansion of PI in b 2.035 * [backup-simplify]: Simplify PI into PI 2.036 * [taylor]: Taking taylor expansion of (/ -1 b) in b 2.036 * [taylor]: Taking taylor expansion of -1 in b 2.036 * [backup-simplify]: Simplify -1 into -1 2.036 * [taylor]: Taking taylor expansion of b in b 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ -1 1) into -1 2.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 2.036 * [taylor]: Taking taylor expansion of 1/2 in b 2.036 * [backup-simplify]: Simplify 1/2 into 1/2 2.036 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.036 * [taylor]: Taking taylor expansion of PI in b 2.036 * [backup-simplify]: Simplify PI into PI 2.036 * [taylor]: Taking taylor expansion of a in b 2.036 * [backup-simplify]: Simplify a into a 2.036 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.036 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.036 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.036 * [taylor]: Taking taylor expansion of b in b 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.036 * [taylor]: Taking taylor expansion of a in b 2.036 * [backup-simplify]: Simplify a into a 2.037 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.038 * [backup-simplify]: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) 2.039 * [backup-simplify]: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) 2.039 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.040 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.040 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.040 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) (- (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 2.040 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (- (pow b 2) (pow a 2))) in b 2.040 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in b 2.040 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 2.040 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in b 2.040 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.040 * [taylor]: Taking taylor expansion of 1/2 in b 2.041 * [backup-simplify]: Simplify 1/2 into 1/2 2.041 * [taylor]: Taking taylor expansion of PI in b 2.041 * [backup-simplify]: Simplify PI into PI 2.041 * [taylor]: Taking taylor expansion of (/ -1 b) in b 2.041 * [taylor]: Taking taylor expansion of -1 in b 2.041 * [backup-simplify]: Simplify -1 into -1 2.041 * [taylor]: Taking taylor expansion of b in b 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [backup-simplify]: Simplify (/ -1 1) into -1 2.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 2.041 * [taylor]: Taking taylor expansion of 1/2 in b 2.041 * [backup-simplify]: Simplify 1/2 into 1/2 2.041 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.041 * [taylor]: Taking taylor expansion of PI in b 2.041 * [backup-simplify]: Simplify PI into PI 2.041 * [taylor]: Taking taylor expansion of a in b 2.041 * [backup-simplify]: Simplify a into a 2.041 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.041 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.041 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.041 * [taylor]: Taking taylor expansion of b in b 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.041 * [taylor]: Taking taylor expansion of a in b 2.041 * [backup-simplify]: Simplify a into a 2.042 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.042 * [backup-simplify]: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) 2.043 * [backup-simplify]: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) 2.043 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.043 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.043 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.044 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) (- (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 2.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 2.044 * [taylor]: Taking taylor expansion of 1/2 in a 2.044 * [backup-simplify]: Simplify 1/2 into 1/2 2.044 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.044 * [taylor]: Taking taylor expansion of PI in a 2.044 * [backup-simplify]: Simplify PI into PI 2.044 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.044 * [taylor]: Taking taylor expansion of a in a 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (* 1 1) into 1 2.045 * [backup-simplify]: Simplify (/ PI 1) into PI 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.048 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (* 0 -1)) into 0 2.048 * [backup-simplify]: Simplify (* 1/2 (/ PI a)) into (* 1/2 (/ PI a)) 2.049 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ PI a))) into (* 1/2 (/ PI a)) 2.049 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.049 * [backup-simplify]: Simplify (- 0) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.049 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ PI a)) (- (pow a 2))) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into (- (* 1/2 (/ PI (pow a 3)))) 2.049 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a 2.049 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a 2.049 * [taylor]: Taking taylor expansion of 1/2 in a 2.049 * [backup-simplify]: Simplify 1/2 into 1/2 2.049 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 2.049 * [taylor]: Taking taylor expansion of PI in a 2.049 * [backup-simplify]: Simplify PI into PI 2.049 * [taylor]: Taking taylor expansion of (pow a 3) in a 2.050 * [taylor]: Taking taylor expansion of a in a 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (* 1 1) into 1 2.050 * [backup-simplify]: Simplify (* 1 1) into 1 2.051 * [backup-simplify]: Simplify (/ PI 1) into PI 2.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.054 * [backup-simplify]: Simplify (- 0) into 0 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.059 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 2.059 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI a))) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.059 * [backup-simplify]: Simplify (* 1 1) into 1 2.060 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.060 * [backup-simplify]: Simplify (- 0) into 0 2.060 * [backup-simplify]: Simplify (+ 1 0) into 1 2.061 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 1 (- (pow a 2)))) (* (- (* 1/2 (/ PI (pow a 3)))) (/ 0 (- (pow a 2)))))) into (* 1/2 (/ PI (pow a 4))) 2.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a 2.061 * [taylor]: Taking taylor expansion of 1/2 in a 2.061 * [backup-simplify]: Simplify 1/2 into 1/2 2.061 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 2.061 * [taylor]: Taking taylor expansion of PI in a 2.061 * [backup-simplify]: Simplify PI into PI 2.061 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.061 * [taylor]: Taking taylor expansion of a in a 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (* 1 1) into 1 2.061 * [backup-simplify]: Simplify (* 1 1) into 1 2.062 * [backup-simplify]: Simplify (/ PI 1) into PI 2.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.067 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.070 * [backup-simplify]: Simplify (- 0) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) into (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 2.074 * [approximate]: Taking taylor expansion of (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 2.074 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.074 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in a 2.074 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 2.074 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in a 2.074 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.074 * [taylor]: Taking taylor expansion of 1/2 in a 2.074 * [backup-simplify]: Simplify 1/2 into 1/2 2.074 * [taylor]: Taking taylor expansion of PI in a 2.074 * [backup-simplify]: Simplify PI into PI 2.074 * [taylor]: Taking taylor expansion of (* -1 b) in a 2.074 * [taylor]: Taking taylor expansion of -1 in a 2.074 * [backup-simplify]: Simplify -1 into -1 2.074 * [taylor]: Taking taylor expansion of b in a 2.074 * [backup-simplify]: Simplify b into b 2.074 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.074 * [taylor]: Taking taylor expansion of 1/2 in a 2.074 * [backup-simplify]: Simplify 1/2 into 1/2 2.074 * [taylor]: Taking taylor expansion of (* a PI) in a 2.074 * [taylor]: Taking taylor expansion of a in a 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.075 * [taylor]: Taking taylor expansion of PI in a 2.075 * [backup-simplify]: Simplify PI into PI 2.075 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.075 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.075 * [taylor]: Taking taylor expansion of b in a 2.075 * [backup-simplify]: Simplify b into b 2.075 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.075 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.075 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.075 * [taylor]: Taking taylor expansion of a in a 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* 1 1) into 1 2.076 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.076 * [backup-simplify]: Simplify (* -1 b) into (* -1 b) 2.077 * [backup-simplify]: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* b PI)) 2.077 * [backup-simplify]: Simplify (* 0 PI) into 0 2.077 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.077 * [backup-simplify]: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) 2.077 * [backup-simplify]: Simplify (- 1) into -1 2.078 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.078 * [backup-simplify]: Simplify (/ (- (* 1/2 (* b PI))) -1) into (* 1/2 (* PI b)) 2.078 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.078 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in b 2.078 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 2.078 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in b 2.078 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.078 * [taylor]: Taking taylor expansion of 1/2 in b 2.078 * [backup-simplify]: Simplify 1/2 into 1/2 2.078 * [taylor]: Taking taylor expansion of PI in b 2.078 * [backup-simplify]: Simplify PI into PI 2.078 * [taylor]: Taking taylor expansion of (* -1 b) in b 2.078 * [taylor]: Taking taylor expansion of -1 in b 2.078 * [backup-simplify]: Simplify -1 into -1 2.078 * [taylor]: Taking taylor expansion of b in b 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 2.078 * [taylor]: Taking taylor expansion of 1/2 in b 2.078 * [backup-simplify]: Simplify 1/2 into 1/2 2.078 * [taylor]: Taking taylor expansion of (* a PI) in b 2.078 * [taylor]: Taking taylor expansion of a in b 2.078 * [backup-simplify]: Simplify a into a 2.078 * [taylor]: Taking taylor expansion of PI in b 2.078 * [backup-simplify]: Simplify PI into PI 2.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.078 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.078 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.078 * [taylor]: Taking taylor expansion of b in b 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (* 1 1) into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.085 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.085 * [taylor]: Taking taylor expansion of a in b 2.085 * [backup-simplify]: Simplify a into a 2.085 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.085 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.085 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.085 * [backup-simplify]: Simplify (* -1 0) into 0 2.086 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 2.086 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.086 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 2.086 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) 2.086 * [backup-simplify]: Simplify (+ 1 0) into 1 2.086 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 2.086 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.086 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in b 2.086 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 2.086 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in b 2.086 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.086 * [taylor]: Taking taylor expansion of 1/2 in b 2.086 * [backup-simplify]: Simplify 1/2 into 1/2 2.086 * [taylor]: Taking taylor expansion of PI in b 2.086 * [backup-simplify]: Simplify PI into PI 2.086 * [taylor]: Taking taylor expansion of (* -1 b) in b 2.086 * [taylor]: Taking taylor expansion of -1 in b 2.086 * [backup-simplify]: Simplify -1 into -1 2.086 * [taylor]: Taking taylor expansion of b in b 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 2.086 * [taylor]: Taking taylor expansion of 1/2 in b 2.087 * [backup-simplify]: Simplify 1/2 into 1/2 2.087 * [taylor]: Taking taylor expansion of (* a PI) in b 2.087 * [taylor]: Taking taylor expansion of a in b 2.087 * [backup-simplify]: Simplify a into a 2.087 * [taylor]: Taking taylor expansion of PI in b 2.087 * [backup-simplify]: Simplify PI into PI 2.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.087 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.087 * [taylor]: Taking taylor expansion of b in b 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (* 1 1) into 1 2.087 * [backup-simplify]: Simplify (/ 1 1) into 1 2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.087 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.087 * [taylor]: Taking taylor expansion of a in b 2.087 * [backup-simplify]: Simplify a into a 2.087 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.087 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.088 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.088 * [backup-simplify]: Simplify (* -1 0) into 0 2.089 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 2.089 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.089 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 2.089 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) 2.089 * [backup-simplify]: Simplify (+ 1 0) into 1 2.089 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 2.089 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.089 * [taylor]: Taking taylor expansion of 1/2 in a 2.089 * [backup-simplify]: Simplify 1/2 into 1/2 2.089 * [taylor]: Taking taylor expansion of (* a PI) in a 2.089 * [taylor]: Taking taylor expansion of a in a 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [taylor]: Taking taylor expansion of PI in a 2.089 * [backup-simplify]: Simplify PI into PI 2.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.091 * [backup-simplify]: Simplify (* 0 PI) into 0 2.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.094 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) -1) (* 0 0)) into (- (* 1/2 PI)) 2.095 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 2.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* a PI))) into 0 2.096 * [backup-simplify]: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ 0 0) into 0 2.099 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)))) into (- (* 1/2 PI)) 2.099 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in a 2.099 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.099 * [taylor]: Taking taylor expansion of 1/2 in a 2.099 * [backup-simplify]: Simplify 1/2 into 1/2 2.099 * [taylor]: Taking taylor expansion of PI in a 2.099 * [backup-simplify]: Simplify PI into PI 2.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.100 * [backup-simplify]: Simplify (- 0) into 0 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.101 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.103 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 -1) (* 0 0))) into 0 2.104 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 PI))) into 0 2.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* a PI)))) into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.107 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1/2 PI)) (/ 0 1)))) into (* 1/2 (/ PI a)) 2.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.109 * [taylor]: Taking taylor expansion of 1/2 in a 2.109 * [backup-simplify]: Simplify 1/2 into 1/2 2.109 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.109 * [taylor]: Taking taylor expansion of PI in a 2.109 * [backup-simplify]: Simplify PI into PI 2.109 * [taylor]: Taking taylor expansion of a in a 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (/ PI 1) into PI 2.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.115 * [backup-simplify]: Simplify (- 0) into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) into (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 2.120 * [approximate]: Taking taylor expansion of (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 2.120 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.120 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in a 2.120 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 2.120 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in a 2.120 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.120 * [taylor]: Taking taylor expansion of 1/2 in a 2.120 * [backup-simplify]: Simplify 1/2 into 1/2 2.120 * [taylor]: Taking taylor expansion of PI in a 2.120 * [backup-simplify]: Simplify PI into PI 2.120 * [taylor]: Taking taylor expansion of b in a 2.120 * [backup-simplify]: Simplify b into b 2.120 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 2.120 * [taylor]: Taking taylor expansion of -1/2 in a 2.120 * [backup-simplify]: Simplify -1/2 into -1/2 2.120 * [taylor]: Taking taylor expansion of (* a PI) in a 2.120 * [taylor]: Taking taylor expansion of a in a 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [taylor]: Taking taylor expansion of PI in a 2.120 * [backup-simplify]: Simplify PI into PI 2.120 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.120 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.120 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.120 * [taylor]: Taking taylor expansion of b in a 2.121 * [backup-simplify]: Simplify b into b 2.121 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.121 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.121 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.121 * [taylor]: Taking taylor expansion of a in a 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (* 1 1) into 1 2.122 * [backup-simplify]: Simplify (/ 1 1) into 1 2.122 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.123 * [backup-simplify]: Simplify (* (* 1/2 PI) b) into (* 1/2 (* b PI)) 2.123 * [backup-simplify]: Simplify (* 0 PI) into 0 2.123 * [backup-simplify]: Simplify (* -1/2 0) into 0 2.123 * [backup-simplify]: Simplify (+ (* 1/2 (* b PI)) 0) into (* 1/2 (* b PI)) 2.124 * [backup-simplify]: Simplify (- 1) into -1 2.124 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.124 * [backup-simplify]: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* PI b)) 2.124 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.124 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in b 2.124 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 2.124 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in b 2.124 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.124 * [taylor]: Taking taylor expansion of 1/2 in b 2.124 * [backup-simplify]: Simplify 1/2 into 1/2 2.124 * [taylor]: Taking taylor expansion of PI in b 2.124 * [backup-simplify]: Simplify PI into PI 2.124 * [taylor]: Taking taylor expansion of b in b 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in b 2.124 * [taylor]: Taking taylor expansion of -1/2 in b 2.124 * [backup-simplify]: Simplify -1/2 into -1/2 2.124 * [taylor]: Taking taylor expansion of (* a PI) in b 2.124 * [taylor]: Taking taylor expansion of a in b 2.124 * [backup-simplify]: Simplify a into a 2.124 * [taylor]: Taking taylor expansion of PI in b 2.124 * [backup-simplify]: Simplify PI into PI 2.124 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.124 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.124 * [taylor]: Taking taylor expansion of b in b 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (* 1 1) into 1 2.125 * [backup-simplify]: Simplify (/ 1 1) into 1 2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.125 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.125 * [taylor]: Taking taylor expansion of a in b 2.125 * [backup-simplify]: Simplify a into a 2.125 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.125 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.125 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.126 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 2.126 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.126 * [backup-simplify]: Simplify (* -1/2 (* a PI)) into (* -1/2 (* a PI)) 2.126 * [backup-simplify]: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) 2.126 * [backup-simplify]: Simplify (+ 1 0) into 1 2.126 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) 2.126 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.126 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in b 2.126 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 2.126 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in b 2.126 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.126 * [taylor]: Taking taylor expansion of 1/2 in b 2.126 * [backup-simplify]: Simplify 1/2 into 1/2 2.127 * [taylor]: Taking taylor expansion of PI in b 2.127 * [backup-simplify]: Simplify PI into PI 2.127 * [taylor]: Taking taylor expansion of b in b 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in b 2.127 * [taylor]: Taking taylor expansion of -1/2 in b 2.127 * [backup-simplify]: Simplify -1/2 into -1/2 2.127 * [taylor]: Taking taylor expansion of (* a PI) in b 2.127 * [taylor]: Taking taylor expansion of a in b 2.127 * [backup-simplify]: Simplify a into a 2.127 * [taylor]: Taking taylor expansion of PI in b 2.127 * [backup-simplify]: Simplify PI into PI 2.127 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.127 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.127 * [taylor]: Taking taylor expansion of b in b 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (* 1 1) into 1 2.127 * [backup-simplify]: Simplify (/ 1 1) into 1 2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.127 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.127 * [taylor]: Taking taylor expansion of a in b 2.127 * [backup-simplify]: Simplify a into a 2.127 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.127 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.128 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.128 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 2.128 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.128 * [backup-simplify]: Simplify (* -1/2 (* a PI)) into (* -1/2 (* a PI)) 2.128 * [backup-simplify]: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) 2.129 * [backup-simplify]: Simplify (+ 1 0) into 1 2.129 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) 2.129 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 2.129 * [taylor]: Taking taylor expansion of -1/2 in a 2.129 * [backup-simplify]: Simplify -1/2 into -1/2 2.129 * [taylor]: Taking taylor expansion of (* a PI) in a 2.129 * [taylor]: Taking taylor expansion of a in a 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.129 * [taylor]: Taking taylor expansion of PI in a 2.129 * [backup-simplify]: Simplify PI into PI 2.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.130 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.131 * [backup-simplify]: Simplify (* 0 PI) into 0 2.131 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.133 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 1) (* 0 0)) into (* 1/2 PI) 2.134 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 2.134 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (* a PI))) into 0 2.135 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 2.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* a PI)) (/ 0 1)))) into (* 1/2 PI) 2.137 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.137 * [taylor]: Taking taylor expansion of 1/2 in a 2.137 * [backup-simplify]: Simplify 1/2 into 1/2 2.137 * [taylor]: Taking taylor expansion of PI in a 2.137 * [backup-simplify]: Simplify PI into PI 2.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.140 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.141 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 1) (* 0 0))) into 0 2.141 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 PI))) into 0 2.142 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (* a PI)))) into 0 2.142 * [backup-simplify]: Simplify (+ 0 0) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.143 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1/2 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (* 1/2 PI) (/ 0 1)))) into (- (* 1/2 (/ PI a))) 2.144 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a 2.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.144 * [taylor]: Taking taylor expansion of 1/2 in a 2.144 * [backup-simplify]: Simplify 1/2 into 1/2 2.144 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.144 * [taylor]: Taking taylor expansion of PI in a 2.144 * [backup-simplify]: Simplify PI into PI 2.144 * [taylor]: Taking taylor expansion of a in a 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (/ PI 1) into PI 2.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.148 * [backup-simplify]: Simplify (- 0) into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.150 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.150 * [backup-simplify]: Simplify (- (* b b) (* a a)) into (- (pow b 2) (pow a 2)) 2.150 * [approximate]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in (b a) around 0 2.150 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.150 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.150 * [taylor]: Taking taylor expansion of b in a 2.150 * [backup-simplify]: Simplify b into b 2.150 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.150 * [taylor]: Taking taylor expansion of a in a 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.150 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.150 * [taylor]: Taking taylor expansion of b in b 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.150 * [taylor]: Taking taylor expansion of a in b 2.150 * [backup-simplify]: Simplify a into a 2.150 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.150 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.150 * [taylor]: Taking taylor expansion of b in b 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.151 * [taylor]: Taking taylor expansion of a in b 2.151 * [backup-simplify]: Simplify a into a 2.151 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.151 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.151 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.151 * [taylor]: Taking taylor expansion of (- (pow a 2)) in a 2.151 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.151 * [taylor]: Taking taylor expansion of a in a 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 1 into 1 2.151 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.151 * [backup-simplify]: Simplify (- 0) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.151 * [taylor]: Taking taylor expansion of 0 in a 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (* 1 1) into 1 2.152 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.152 * [backup-simplify]: Simplify (- 0) into 0 2.152 * [backup-simplify]: Simplify (+ 1 0) into 1 2.152 * [taylor]: Taking taylor expansion of 1 in a 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify (* 1 1) into 1 2.153 * [backup-simplify]: Simplify (- 1) into -1 2.153 * [backup-simplify]: Simplify -1 into -1 2.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.154 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 2.154 * [backup-simplify]: Simplify (- 0) into 0 2.155 * [backup-simplify]: Simplify (+ 0 0) into 0 2.155 * [taylor]: Taking taylor expansion of 0 in a 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.155 * [backup-simplify]: Simplify (- 0) into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.157 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 2.157 * [backup-simplify]: Simplify (- 0) into 0 2.157 * [backup-simplify]: Simplify (+ 0 0) into 0 2.157 * [taylor]: Taking taylor expansion of 0 in a 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (+ (* -1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (pow a 2)) 2.158 * [backup-simplify]: Simplify (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 2.158 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.158 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.158 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.158 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.158 * [taylor]: Taking taylor expansion of b in a 2.158 * [backup-simplify]: Simplify b into b 2.158 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.158 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.158 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.158 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.158 * [taylor]: Taking taylor expansion of a in a 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (* 1 1) into 1 2.158 * [backup-simplify]: Simplify (/ 1 1) into 1 2.159 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.159 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.159 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.159 * [taylor]: Taking taylor expansion of b in b 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 1 into 1 2.159 * [backup-simplify]: Simplify (* 1 1) into 1 2.159 * [backup-simplify]: Simplify (/ 1 1) into 1 2.159 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.159 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.159 * [taylor]: Taking taylor expansion of a in b 2.159 * [backup-simplify]: Simplify a into a 2.159 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.159 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.159 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.159 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.159 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.159 * [taylor]: Taking taylor expansion of b in b 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 1 into 1 2.160 * [backup-simplify]: Simplify (* 1 1) into 1 2.160 * [backup-simplify]: Simplify (/ 1 1) into 1 2.160 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.160 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.160 * [taylor]: Taking taylor expansion of a in b 2.160 * [backup-simplify]: Simplify a into a 2.160 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.160 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.160 * [backup-simplify]: Simplify (+ 1 0) into 1 2.160 * [taylor]: Taking taylor expansion of 1 in a 2.160 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (+ 0 0) into 0 2.161 * [taylor]: Taking taylor expansion of 0 in a 2.161 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.163 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 2.163 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.163 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.163 * [taylor]: Taking taylor expansion of a in a 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (* 1 1) into 1 2.163 * [backup-simplify]: Simplify (/ 1 1) into 1 2.164 * [backup-simplify]: Simplify (- 1) into -1 2.164 * [backup-simplify]: Simplify -1 into -1 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.165 * [backup-simplify]: Simplify (- 0) into 0 2.165 * [backup-simplify]: Simplify (+ 0 0) into 0 2.165 * [taylor]: Taking taylor expansion of 0 in a 2.165 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (- 0) into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.169 * [backup-simplify]: Simplify (- 0) into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [taylor]: Taking taylor expansion of 0 in a 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.170 * [backup-simplify]: Simplify (- 0) into 0 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (- (pow b 2) (pow a 2)) 2.171 * [backup-simplify]: Simplify (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 2.171 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.171 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.171 * [taylor]: Taking taylor expansion of b in a 2.171 * [backup-simplify]: Simplify b into b 2.171 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.171 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.171 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.171 * [taylor]: Taking taylor expansion of a in a 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (* 1 1) into 1 2.171 * [backup-simplify]: Simplify (/ 1 1) into 1 2.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.171 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.172 * [taylor]: Taking taylor expansion of b in b 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (* 1 1) into 1 2.172 * [backup-simplify]: Simplify (/ 1 1) into 1 2.172 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.172 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.172 * [taylor]: Taking taylor expansion of a in b 2.172 * [backup-simplify]: Simplify a into a 2.172 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.172 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.172 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.172 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.172 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.172 * [taylor]: Taking taylor expansion of b in b 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (* 1 1) into 1 2.173 * [backup-simplify]: Simplify (/ 1 1) into 1 2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.173 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.173 * [taylor]: Taking taylor expansion of a in b 2.173 * [backup-simplify]: Simplify a into a 2.173 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.173 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.173 * [backup-simplify]: Simplify (+ 1 0) into 1 2.173 * [taylor]: Taking taylor expansion of 1 in a 2.173 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (+ 0 0) into 0 2.174 * [taylor]: Taking taylor expansion of 0 in a 2.174 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.176 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.176 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 2.176 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.176 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.176 * [taylor]: Taking taylor expansion of a in a 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [backup-simplify]: Simplify (* 1 1) into 1 2.176 * [backup-simplify]: Simplify (/ 1 1) into 1 2.177 * [backup-simplify]: Simplify (- 1) into -1 2.177 * [backup-simplify]: Simplify -1 into -1 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.178 * [backup-simplify]: Simplify (- 0) into 0 2.178 * [backup-simplify]: Simplify (+ 0 0) into 0 2.178 * [taylor]: Taking taylor expansion of 0 in a 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (- 0) into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.185 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.185 * [backup-simplify]: Simplify (- 0) into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [taylor]: Taking taylor expansion of 0 in a 2.185 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (- 0) into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (- (pow b 2) (pow a 2)) 2.187 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 3) 2.187 * [backup-simplify]: Simplify (/ (/ PI 2) a) into (* 1/2 (/ PI a)) 2.187 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI a)) in (a) around 0 2.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.187 * [taylor]: Taking taylor expansion of 1/2 in a 2.188 * [backup-simplify]: Simplify 1/2 into 1/2 2.188 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.188 * [taylor]: Taking taylor expansion of PI in a 2.188 * [backup-simplify]: Simplify PI into PI 2.188 * [taylor]: Taking taylor expansion of a in a 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (/ PI 1) into PI 2.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.188 * [taylor]: Taking taylor expansion of 1/2 in a 2.188 * [backup-simplify]: Simplify 1/2 into 1/2 2.188 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.188 * [taylor]: Taking taylor expansion of PI in a 2.188 * [backup-simplify]: Simplify PI into PI 2.188 * [taylor]: Taking taylor expansion of a in a 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (/ PI 1) into PI 2.189 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.189 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.194 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 2.198 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 a)) into (* 1/2 (* a PI)) 2.198 * [approximate]: Taking taylor expansion of (* 1/2 (* a PI)) in (a) around 0 2.199 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.199 * [taylor]: Taking taylor expansion of 1/2 in a 2.199 * [backup-simplify]: Simplify 1/2 into 1/2 2.199 * [taylor]: Taking taylor expansion of (* a PI) in a 2.199 * [taylor]: Taking taylor expansion of a in a 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 1 into 1 2.199 * [taylor]: Taking taylor expansion of PI in a 2.199 * [backup-simplify]: Simplify PI into PI 2.199 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.199 * [taylor]: Taking taylor expansion of 1/2 in a 2.199 * [backup-simplify]: Simplify 1/2 into 1/2 2.199 * [taylor]: Taking taylor expansion of (* a PI) in a 2.199 * [taylor]: Taking taylor expansion of a in a 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 1 into 1 2.199 * [taylor]: Taking taylor expansion of PI in a 2.199 * [backup-simplify]: Simplify PI into PI 2.199 * [backup-simplify]: Simplify (* 0 PI) into 0 2.199 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.201 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.202 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.204 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.206 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 2.213 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- a))) into (* -1/2 (* a PI)) 2.213 * [approximate]: Taking taylor expansion of (* -1/2 (* a PI)) in (a) around 0 2.213 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 2.213 * [taylor]: Taking taylor expansion of -1/2 in a 2.213 * [backup-simplify]: Simplify -1/2 into -1/2 2.213 * [taylor]: Taking taylor expansion of (* a PI) in a 2.213 * [taylor]: Taking taylor expansion of a in a 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [taylor]: Taking taylor expansion of PI in a 2.213 * [backup-simplify]: Simplify PI into PI 2.213 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 2.213 * [taylor]: Taking taylor expansion of -1/2 in a 2.213 * [backup-simplify]: Simplify -1/2 into -1/2 2.213 * [taylor]: Taking taylor expansion of (* a PI) in a 2.213 * [taylor]: Taking taylor expansion of a in a 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [taylor]: Taking taylor expansion of PI in a 2.213 * [backup-simplify]: Simplify PI into PI 2.213 * [backup-simplify]: Simplify (* 0 PI) into 0 2.213 * [backup-simplify]: Simplify (* -1/2 0) into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.215 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 2.217 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.219 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.221 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.224 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.227 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.231 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.235 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- a))) into (* 1/2 (/ PI a)) 2.236 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.237 * [backup-simplify]: Simplify (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) into (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) 2.237 * [approximate]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in (b a) around 0 2.237 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in a 2.237 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 2.237 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in a 2.237 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.237 * [taylor]: Taking taylor expansion of 1/2 in a 2.237 * [backup-simplify]: Simplify 1/2 into 1/2 2.237 * [taylor]: Taking taylor expansion of PI in a 2.237 * [backup-simplify]: Simplify PI into PI 2.237 * [taylor]: Taking taylor expansion of (/ -1 b) in a 2.238 * [taylor]: Taking taylor expansion of -1 in a 2.238 * [backup-simplify]: Simplify -1 into -1 2.238 * [taylor]: Taking taylor expansion of b in a 2.238 * [backup-simplify]: Simplify b into b 2.238 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 2.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.238 * [taylor]: Taking taylor expansion of 1/2 in a 2.238 * [backup-simplify]: Simplify 1/2 into 1/2 2.238 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.238 * [taylor]: Taking taylor expansion of PI in a 2.238 * [backup-simplify]: Simplify PI into PI 2.238 * [taylor]: Taking taylor expansion of a in a 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 1 into 1 2.238 * [backup-simplify]: Simplify (/ PI 1) into PI 2.238 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in b 2.239 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 2.239 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in b 2.239 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.239 * [taylor]: Taking taylor expansion of 1/2 in b 2.239 * [backup-simplify]: Simplify 1/2 into 1/2 2.239 * [taylor]: Taking taylor expansion of PI in b 2.239 * [backup-simplify]: Simplify PI into PI 2.239 * [taylor]: Taking taylor expansion of (/ -1 b) in b 2.239 * [taylor]: Taking taylor expansion of -1 in b 2.239 * [backup-simplify]: Simplify -1 into -1 2.239 * [taylor]: Taking taylor expansion of b in b 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.240 * [backup-simplify]: Simplify (/ -1 1) into -1 2.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 2.240 * [taylor]: Taking taylor expansion of 1/2 in b 2.240 * [backup-simplify]: Simplify 1/2 into 1/2 2.240 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.240 * [taylor]: Taking taylor expansion of PI in b 2.240 * [backup-simplify]: Simplify PI into PI 2.240 * [taylor]: Taking taylor expansion of a in b 2.240 * [backup-simplify]: Simplify a into a 2.240 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.240 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in b 2.240 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 2.240 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in b 2.240 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.240 * [taylor]: Taking taylor expansion of 1/2 in b 2.240 * [backup-simplify]: Simplify 1/2 into 1/2 2.240 * [taylor]: Taking taylor expansion of PI in b 2.240 * [backup-simplify]: Simplify PI into PI 2.240 * [taylor]: Taking taylor expansion of (/ -1 b) in b 2.240 * [taylor]: Taking taylor expansion of -1 in b 2.240 * [backup-simplify]: Simplify -1 into -1 2.240 * [taylor]: Taking taylor expansion of b in b 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (/ -1 1) into -1 2.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 2.241 * [taylor]: Taking taylor expansion of 1/2 in b 2.241 * [backup-simplify]: Simplify 1/2 into 1/2 2.241 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.241 * [taylor]: Taking taylor expansion of PI in b 2.241 * [backup-simplify]: Simplify PI into PI 2.241 * [taylor]: Taking taylor expansion of a in b 2.241 * [backup-simplify]: Simplify a into a 2.241 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.242 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.243 * [backup-simplify]: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) 2.244 * [backup-simplify]: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) 2.244 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in a 2.244 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.244 * [taylor]: Taking taylor expansion of 1/2 in a 2.244 * [backup-simplify]: Simplify 1/2 into 1/2 2.244 * [taylor]: Taking taylor expansion of PI in a 2.244 * [backup-simplify]: Simplify PI into PI 2.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.247 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (* 0 -1)) into 0 2.247 * [backup-simplify]: Simplify (* 1/2 (/ PI a)) into (* 1/2 (/ PI a)) 2.247 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ PI a))) into (* 1/2 (/ PI a)) 2.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.247 * [taylor]: Taking taylor expansion of 1/2 in a 2.247 * [backup-simplify]: Simplify 1/2 into 1/2 2.247 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.247 * [taylor]: Taking taylor expansion of PI in a 2.247 * [backup-simplify]: Simplify PI into PI 2.247 * [taylor]: Taking taylor expansion of a in a 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (/ PI 1) into PI 2.248 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.249 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.249 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.250 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.251 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.255 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 2.255 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)))) into 0 2.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI a))) into 0 2.256 * [backup-simplify]: Simplify (+ 0 0) into 0 2.256 * [taylor]: Taking taylor expansion of 0 in a 2.256 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.259 * [backup-simplify]: Simplify (- 0) into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.263 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.263 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ PI a)))) into 0 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.264 * [taylor]: Taking taylor expansion of 0 in a 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.268 * [backup-simplify]: Simplify (- 0) into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.272 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.272 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 2.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI a))))) into 0 2.274 * [backup-simplify]: Simplify (+ 0 0) into 0 2.274 * [taylor]: Taking taylor expansion of 0 in a 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI)) (* 1 (/ 1 b))) (* (* 1/2 PI) (* (/ 1 a) 1))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 2.277 * [backup-simplify]: Simplify (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) into (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) 2.277 * [approximate]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in (b a) around 0 2.277 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in a 2.277 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 2.277 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in a 2.277 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.277 * [taylor]: Taking taylor expansion of 1/2 in a 2.277 * [backup-simplify]: Simplify 1/2 into 1/2 2.277 * [taylor]: Taking taylor expansion of PI in a 2.277 * [backup-simplify]: Simplify PI into PI 2.277 * [taylor]: Taking taylor expansion of (* -1 b) in a 2.277 * [taylor]: Taking taylor expansion of -1 in a 2.277 * [backup-simplify]: Simplify -1 into -1 2.277 * [taylor]: Taking taylor expansion of b in a 2.277 * [backup-simplify]: Simplify b into b 2.277 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.277 * [taylor]: Taking taylor expansion of 1/2 in a 2.277 * [backup-simplify]: Simplify 1/2 into 1/2 2.277 * [taylor]: Taking taylor expansion of (* a PI) in a 2.277 * [taylor]: Taking taylor expansion of a in a 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of PI in a 2.278 * [backup-simplify]: Simplify PI into PI 2.278 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in b 2.278 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 2.278 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in b 2.278 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.278 * [taylor]: Taking taylor expansion of 1/2 in b 2.278 * [backup-simplify]: Simplify 1/2 into 1/2 2.278 * [taylor]: Taking taylor expansion of PI in b 2.278 * [backup-simplify]: Simplify PI into PI 2.278 * [taylor]: Taking taylor expansion of (* -1 b) in b 2.278 * [taylor]: Taking taylor expansion of -1 in b 2.278 * [backup-simplify]: Simplify -1 into -1 2.278 * [taylor]: Taking taylor expansion of b in b 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 2.278 * [taylor]: Taking taylor expansion of 1/2 in b 2.278 * [backup-simplify]: Simplify 1/2 into 1/2 2.278 * [taylor]: Taking taylor expansion of (* a PI) in b 2.278 * [taylor]: Taking taylor expansion of a in b 2.278 * [backup-simplify]: Simplify a into a 2.278 * [taylor]: Taking taylor expansion of PI in b 2.278 * [backup-simplify]: Simplify PI into PI 2.278 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in b 2.278 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 2.278 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in b 2.278 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.278 * [taylor]: Taking taylor expansion of 1/2 in b 2.278 * [backup-simplify]: Simplify 1/2 into 1/2 2.278 * [taylor]: Taking taylor expansion of PI in b 2.278 * [backup-simplify]: Simplify PI into PI 2.278 * [taylor]: Taking taylor expansion of (* -1 b) in b 2.278 * [taylor]: Taking taylor expansion of -1 in b 2.278 * [backup-simplify]: Simplify -1 into -1 2.278 * [taylor]: Taking taylor expansion of b in b 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 1 into 1 2.278 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 2.279 * [taylor]: Taking taylor expansion of 1/2 in b 2.279 * [backup-simplify]: Simplify 1/2 into 1/2 2.279 * [taylor]: Taking taylor expansion of (* a PI) in b 2.279 * [taylor]: Taking taylor expansion of a in b 2.279 * [backup-simplify]: Simplify a into a 2.279 * [taylor]: Taking taylor expansion of PI in b 2.279 * [backup-simplify]: Simplify PI into PI 2.279 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.280 * [backup-simplify]: Simplify (* -1 0) into 0 2.280 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 2.280 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.280 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 2.281 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) 2.281 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.281 * [taylor]: Taking taylor expansion of 1/2 in a 2.281 * [backup-simplify]: Simplify 1/2 into 1/2 2.281 * [taylor]: Taking taylor expansion of (* a PI) in a 2.281 * [taylor]: Taking taylor expansion of a in a 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 1 into 1 2.281 * [taylor]: Taking taylor expansion of PI in a 2.281 * [backup-simplify]: Simplify PI into PI 2.281 * [backup-simplify]: Simplify (* 0 PI) into 0 2.282 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.285 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) -1) (* 0 0)) into (- (* 1/2 PI)) 2.285 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 2.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* a PI))) into 0 2.286 * [backup-simplify]: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) 2.286 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in a 2.286 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.286 * [taylor]: Taking taylor expansion of 1/2 in a 2.286 * [backup-simplify]: Simplify 1/2 into 1/2 2.287 * [taylor]: Taking taylor expansion of PI in a 2.287 * [backup-simplify]: Simplify PI into PI 2.287 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.287 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.288 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.290 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.291 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.291 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 2.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.293 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 -1) (* 0 0))) into 0 2.293 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 PI))) into 0 2.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* a PI)))) into 0 2.294 * [backup-simplify]: Simplify (+ 0 0) into 0 2.294 * [taylor]: Taking taylor expansion of 0 in a 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.295 * [backup-simplify]: Simplify (- 0) into 0 2.295 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.298 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))) into 0 2.301 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* a PI))))) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.302 * [taylor]: Taking taylor expansion of 0 in a 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.303 * [backup-simplify]: Simplify (- 0) into 0 2.303 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) (* (/ 1 a) 1)) (* (- (* 1/2 PI)) (* 1 (/ 1 b)))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 2.305 * [backup-simplify]: Simplify (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) into (fma (* 1/2 PI) b (* -1/2 (* a PI))) 2.305 * [approximate]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in (b a) around 0 2.305 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in a 2.305 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 2.305 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in a 2.305 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.305 * [taylor]: Taking taylor expansion of 1/2 in a 2.305 * [backup-simplify]: Simplify 1/2 into 1/2 2.305 * [taylor]: Taking taylor expansion of PI in a 2.305 * [backup-simplify]: Simplify PI into PI 2.305 * [taylor]: Taking taylor expansion of b in a 2.305 * [backup-simplify]: Simplify b into b 2.305 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 2.306 * [taylor]: Taking taylor expansion of -1/2 in a 2.306 * [backup-simplify]: Simplify -1/2 into -1/2 2.306 * [taylor]: Taking taylor expansion of (* a PI) in a 2.306 * [taylor]: Taking taylor expansion of a in a 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of PI in a 2.306 * [backup-simplify]: Simplify PI into PI 2.306 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in b 2.306 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 2.306 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in b 2.306 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.306 * [taylor]: Taking taylor expansion of 1/2 in b 2.306 * [backup-simplify]: Simplify 1/2 into 1/2 2.306 * [taylor]: Taking taylor expansion of PI in b 2.306 * [backup-simplify]: Simplify PI into PI 2.306 * [taylor]: Taking taylor expansion of b in b 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in b 2.306 * [taylor]: Taking taylor expansion of -1/2 in b 2.306 * [backup-simplify]: Simplify -1/2 into -1/2 2.306 * [taylor]: Taking taylor expansion of (* a PI) in b 2.306 * [taylor]: Taking taylor expansion of a in b 2.306 * [backup-simplify]: Simplify a into a 2.306 * [taylor]: Taking taylor expansion of PI in b 2.306 * [backup-simplify]: Simplify PI into PI 2.306 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in b 2.306 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 2.306 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in b 2.306 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.306 * [taylor]: Taking taylor expansion of 1/2 in b 2.306 * [backup-simplify]: Simplify 1/2 into 1/2 2.306 * [taylor]: Taking taylor expansion of PI in b 2.306 * [backup-simplify]: Simplify PI into PI 2.306 * [taylor]: Taking taylor expansion of b in b 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in b 2.306 * [taylor]: Taking taylor expansion of -1/2 in b 2.306 * [backup-simplify]: Simplify -1/2 into -1/2 2.306 * [taylor]: Taking taylor expansion of (* a PI) in b 2.306 * [taylor]: Taking taylor expansion of a in b 2.306 * [backup-simplify]: Simplify a into a 2.306 * [taylor]: Taking taylor expansion of PI in b 2.306 * [backup-simplify]: Simplify PI into PI 2.307 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.307 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 2.307 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.307 * [backup-simplify]: Simplify (* -1/2 (* a PI)) into (* -1/2 (* a PI)) 2.307 * [backup-simplify]: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) 2.307 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI))) in a 2.307 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.307 * [taylor]: Taking taylor expansion of 1/2 in a 2.307 * [backup-simplify]: Simplify 1/2 into 1/2 2.307 * [taylor]: Taking taylor expansion of (* a PI) in a 2.307 * [taylor]: Taking taylor expansion of a in a 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 1 into 1 2.307 * [taylor]: Taking taylor expansion of PI in a 2.307 * [backup-simplify]: Simplify PI into PI 2.308 * [backup-simplify]: Simplify (* 0 PI) into 0 2.308 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.308 * [backup-simplify]: Simplify (- 0) into 0 2.308 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.311 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 1) (* 0 0)) into (* 1/2 PI) 2.311 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 2.311 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (* a PI))) into 0 2.312 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 2.312 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 2.312 * [taylor]: Taking taylor expansion of 1/2 in a 2.312 * [backup-simplify]: Simplify 1/2 into 1/2 2.312 * [taylor]: Taking taylor expansion of PI in a 2.312 * [backup-simplify]: Simplify PI into PI 2.312 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.313 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.315 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.315 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.316 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.317 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 1) (* 0 0))) into 0 2.318 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 PI))) into 0 2.318 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (* a PI)))) into 0 2.319 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [taylor]: Taking taylor expansion of 0 in a 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.321 * [backup-simplify]: Simplify (- 0) into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.322 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.323 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.324 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* a PI))))) into 0 2.324 * [backup-simplify]: Simplify (+ 0 0) into 0 2.324 * [taylor]: Taking taylor expansion of 0 in a 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.325 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI)) (* (/ 1 (- a)) 1)) (* (* 1/2 PI) (* 1 (/ 1 (- b))))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 2.326 * * * [progress]: simplifying candidates 2.326 * * * * [progress]: [ 1 / 150 ] simplifiying candidate # 2.326 * * * * [progress]: [ 2 / 150 ] simplifiying candidate # 2.326 * * * * [progress]: [ 3 / 150 ] simplifiying candidate # 2.326 * * * * [progress]: [ 4 / 150 ] simplifiying candidate # 2.326 * * * * [progress]: [ 5 / 150 ] simplifiying candidate # 2.326 * * * * [progress]: [ 6 / 150 ] simplifiying candidate # 2.326 * * * * [progress]: [ 7 / 150 ] simplifiying candidate # 2.326 * * * * [progress]: [ 8 / 150 ] simplifiying candidate # 2.326 * * * * [progress]: [ 9 / 150 ] simplifiying candidate # 2.326 * * * * [progress]: [ 10 / 150 ] simplifiying candidate # 2.326 * * * * [progress]: [ 11 / 150 ] simplifiying candidate # 2.326 * * * * [progress]: [ 12 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 13 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 14 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 15 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 16 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 17 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 18 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 19 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 20 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 21 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 22 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 23 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 24 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 25 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 26 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 27 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 28 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 29 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 30 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 31 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 32 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 33 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 34 / 150 ] simplifiying candidate # 2.327 * * * * [progress]: [ 35 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 36 / 150 ] simplifiying candidate #real (real->posit16 (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a))))))> 2.328 * * * * [progress]: [ 37 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 38 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 39 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 40 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 41 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 42 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 43 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 44 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 45 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 46 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 47 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 48 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 49 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 50 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 51 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 52 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 53 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 54 / 150 ] simplifiying candidate #real (real->posit16 (- (* b b) (* a a))))))> 2.328 * * * * [progress]: [ 55 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 56 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 57 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 58 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 59 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 60 / 150 ] simplifiying candidate # 2.328 * * * * [progress]: [ 61 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 62 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 63 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 64 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 65 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 66 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 67 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 68 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 69 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 70 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 71 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 72 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 73 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 74 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 75 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 76 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 77 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 78 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 79 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 80 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 81 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 82 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 83 / 150 ] simplifiying candidate # 2.329 * * * * [progress]: [ 84 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 85 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 86 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 87 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 88 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 89 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 90 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 91 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 92 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 93 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 94 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 95 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 96 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 97 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 98 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 99 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 100 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 101 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 102 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 103 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 104 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 105 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 106 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 107 / 150 ] simplifiying candidate # 2.330 * * * * [progress]: [ 108 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 109 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 110 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 111 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 112 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 113 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 114 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 115 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 116 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 117 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 118 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 119 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 120 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 121 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 122 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 123 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 124 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 125 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 126 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 127 / 150 ] simplifiying candidate #real (real->posit16 (/ (/ PI 2) a)))) (- (* b b) (* a a))))> 2.331 * * * * [progress]: [ 128 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 129 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 130 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 131 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 132 / 150 ] simplifiying candidate # 2.331 * * * * [progress]: [ 133 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 134 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 135 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 136 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 137 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 138 / 150 ] simplifiying candidate #real (real->posit16 (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (* b b) (* a a))))> 2.332 * * * * [progress]: [ 139 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 140 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 141 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 142 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 143 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 144 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 145 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 146 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 147 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 148 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 149 / 150 ] simplifiying candidate # 2.332 * * * * [progress]: [ 150 / 150 ] simplifiying candidate # 2.334 * [simplify]: Simplifying: (expm1 (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))) (log1p (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))) (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (log (- (* b b) (* a a)))) (log (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))) (exp (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))) (/ (* (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a)))) (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a))))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))) (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))) (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))) (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))) (- (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (- (* b b) (* a a))) (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (- (* b b) (* a a)))) (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (- (* b b) (* a a)))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (- (* b b) (* a a)))) (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) 1) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (* b b) (* a a))) (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ b a)) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- b a)) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (- (* b b) (* a a)))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (- (* b b) (* a a)))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (- (* b b) (* a a)))) (/ 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(/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (real->posit16 (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) 0 0 0 (- (pow b 2) (pow a 2)) (- (pow b 2) (pow a 2)) (- (pow b 2) (pow a 2)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 2.336 * * [simplify]: iteration 0: 253 enodes 2.421 * * [simplify]: iteration 1: 560 enodes 2.720 * * [simplify]: iteration 2: 1516 enodes 3.323 * * [simplify]: iteration complete: 5001 enodes 3.323 * * [simplify]: Extracting #0: cost 167 inf + 0 3.327 * * [simplify]: Extracting #1: cost 916 inf + 44 3.339 * * [simplify]: Extracting #2: cost 1757 inf + 8697 3.384 * * [simplify]: Extracting #3: cost 1092 inf + 103388 3.472 * * [simplify]: Extracting #4: cost 288 inf + 291489 3.562 * * [simplify]: Extracting #5: cost 27 inf + 376851 3.701 * * [simplify]: Extracting #6: cost 0 inf + 387769 3.814 * [simplify]: Simplified to: (expm1 (/ (fma (/ PI 2) (/ -1 b) (/ 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(sqrt PI) (* (* (cbrt a) (cbrt 2)) (* (cbrt a) (cbrt 2)))) (/ (/ (sqrt PI) (cbrt a)) (cbrt 2)) (/ (sqrt PI) (* (* (cbrt 2) (sqrt a)) (cbrt 2))) (/ (/ (sqrt PI) (cbrt 2)) (sqrt a)) (/ (/ (sqrt PI) (cbrt 2)) (cbrt 2)) (/ (/ (sqrt PI) a) (cbrt 2)) (/ (/ (/ (sqrt PI) (cbrt a)) (cbrt a)) (sqrt 2)) (/ (/ (sqrt PI) (cbrt a)) (sqrt 2)) (/ (/ (sqrt PI) (sqrt a)) (sqrt 2)) (/ (/ (sqrt PI) (sqrt a)) (sqrt 2)) (/ (sqrt PI) (sqrt 2)) (/ (sqrt PI) (* a (sqrt 2))) (/ (/ (sqrt PI) (cbrt a)) (cbrt a)) (/ (/ (sqrt PI) 2) (cbrt a)) (/ (sqrt PI) (sqrt a)) (/ (/ (sqrt PI) (sqrt a)) 2) (sqrt PI) (/ (/ (sqrt PI) a) 2) (/ 1 (* (* (cbrt a) (cbrt 2)) (* (cbrt a) (cbrt 2)))) (/ (/ PI (cbrt a)) (cbrt 2)) (/ (/ 1 (sqrt a)) (* (cbrt 2) (cbrt 2))) (/ (/ PI (sqrt a)) (cbrt 2)) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (/ PI a) (cbrt 2)) (/ 1 (* (sqrt 2) (* (cbrt a) (cbrt a)))) (/ (/ PI (cbrt a)) (sqrt 2)) (/ (/ 1 (sqrt a)) (sqrt 2)) (/ (/ PI (sqrt 2)) (sqrt a)) (/ 1 (sqrt 2)) (/ (/ PI (sqrt 2)) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ PI (cbrt a)) 2) (/ 1 (sqrt a)) (/ (/ PI 2) (sqrt a)) 1 (/ 1/2 (/ a PI)) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ PI (cbrt a)) 2) (/ 1 (sqrt a)) (/ (/ PI 2) (sqrt a)) 1 (/ 1/2 (/ a PI)) (/ PI (* (cbrt a) (cbrt a))) (/ 1/2 (cbrt a)) (/ PI (sqrt a)) (/ 1/2 (sqrt a)) PI (/ 1/2 a) (/ 1 a) (/ (* 2 a) PI) (/ (/ PI 2) (* (cbrt a) (cbrt a))) (/ (/ PI 2) (sqrt a)) (/ PI 2) (/ a (cbrt (/ PI 2))) (/ a (sqrt (/ PI 2))) (/ (* a (cbrt 2)) (cbrt PI)) (* (/ a (cbrt PI)) (sqrt 2)) (/ (* a 2) (cbrt PI)) (* (cbrt 2) (/ a (sqrt PI))) (/ (* a (sqrt 2)) (sqrt PI)) (/ (* a 2) (sqrt PI)) (/ (* (cbrt 2) a) PI) (/ (* a (sqrt 2)) PI) (/ (* 2 a) PI) (/ (* 2 a) PI) (* 2 a) (* 2 a) (real->posit16 (/ 1/2 (/ a PI))) (expm1 (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI)))) (log1p (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI)))) (/ (/ (- PI) 2) b) (log (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI)))) (exp (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI)))) (* (cbrt (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI)))) (cbrt (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI))))) (cbrt (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI)))) (* (* (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI))) (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI)))) (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI)))) (sqrt (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI)))) (sqrt (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI)))) (real->posit16 (fma (/ PI 2) (/ -1 b) (/ 1/2 (/ a PI)))) 0 0 0 (- (* b b) (* a a)) (- (* b b) (* a a)) (- (* b b) (* a a)) (/ 1/2 (/ a PI)) (/ 1/2 (/ a PI)) (/ 1/2 (/ a PI)) (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2) 3.837 * * * [progress]: adding candidates to table 4.697 * * [progress]: iteration 2 / 4 4.697 * * * [progress]: picking best candidate 4.748 * * * * [pick]: Picked # 4.748 * * * [progress]: localizing error 4.789 * * * [progress]: generating rewritten candidates 4.789 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 3) 4.804 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.814 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.814 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.836 * * * [progress]: generating series expansions 4.836 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 3) 4.837 * [backup-simplify]: Simplify (/ (/ PI 2) a) into (* 1/2 (/ PI a)) 4.837 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI a)) in (a) around 0 4.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 4.837 * [taylor]: Taking taylor expansion of 1/2 in a 4.837 * [backup-simplify]: Simplify 1/2 into 1/2 4.837 * [taylor]: Taking taylor expansion of (/ PI a) in a 4.837 * [taylor]: Taking taylor expansion of PI in a 4.837 * [backup-simplify]: Simplify PI into PI 4.837 * [taylor]: Taking taylor expansion of a in a 4.837 * [backup-simplify]: Simplify 0 into 0 4.837 * [backup-simplify]: Simplify 1 into 1 4.837 * [backup-simplify]: Simplify (/ PI 1) into PI 4.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 4.837 * [taylor]: Taking taylor expansion of 1/2 in a 4.837 * [backup-simplify]: Simplify 1/2 into 1/2 4.837 * [taylor]: Taking taylor expansion of (/ PI a) in a 4.837 * [taylor]: Taking taylor expansion of PI in a 4.838 * [backup-simplify]: Simplify PI into PI 4.838 * [taylor]: Taking taylor expansion of a in a 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 1 into 1 4.838 * [backup-simplify]: Simplify (/ PI 1) into PI 4.838 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 4.839 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 4.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 4.841 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.842 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.844 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.846 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 4.848 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 a)) into (* 1/2 (* a PI)) 4.848 * [approximate]: Taking taylor expansion of (* 1/2 (* a PI)) in (a) around 0 4.848 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 4.848 * [taylor]: Taking taylor expansion of 1/2 in a 4.848 * [backup-simplify]: Simplify 1/2 into 1/2 4.849 * [taylor]: Taking taylor expansion of (* a PI) in a 4.849 * [taylor]: Taking taylor expansion of a in a 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify 1 into 1 4.849 * [taylor]: Taking taylor expansion of PI in a 4.849 * [backup-simplify]: Simplify PI into PI 4.849 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 4.849 * [taylor]: Taking taylor expansion of 1/2 in a 4.849 * [backup-simplify]: Simplify 1/2 into 1/2 4.849 * [taylor]: Taking taylor expansion of (* a PI) in a 4.849 * [taylor]: Taking taylor expansion of a in a 4.849 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify 1 into 1 4.849 * [taylor]: Taking taylor expansion of PI in a 4.849 * [backup-simplify]: Simplify PI into PI 4.849 * [backup-simplify]: Simplify (* 0 PI) into 0 4.849 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.849 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.851 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 4.852 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 4.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 4.853 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.854 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.863 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.873 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 4.875 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- a))) into (* -1/2 (* a PI)) 4.875 * [approximate]: Taking taylor expansion of (* -1/2 (* a PI)) in (a) around 0 4.875 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 4.875 * [taylor]: Taking taylor expansion of -1/2 in a 4.875 * [backup-simplify]: Simplify -1/2 into -1/2 4.875 * [taylor]: Taking taylor expansion of (* a PI) in a 4.875 * [taylor]: Taking taylor expansion of a in a 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 1 into 1 4.875 * [taylor]: Taking taylor expansion of PI in a 4.875 * [backup-simplify]: Simplify PI into PI 4.875 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 4.875 * [taylor]: Taking taylor expansion of -1/2 in a 4.875 * [backup-simplify]: Simplify -1/2 into -1/2 4.875 * [taylor]: Taking taylor expansion of (* a PI) in a 4.875 * [taylor]: Taking taylor expansion of a in a 4.875 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify 1 into 1 4.875 * [taylor]: Taking taylor expansion of PI in a 4.875 * [backup-simplify]: Simplify PI into PI 4.876 * [backup-simplify]: Simplify (* 0 PI) into 0 4.876 * [backup-simplify]: Simplify (* -1/2 0) into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.879 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 4.880 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 4.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.882 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 4.883 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.885 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.885 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.888 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.891 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.891 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.895 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.895 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.898 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.899 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- a))) into (* 1/2 (/ PI a)) 4.900 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.901 * [backup-simplify]: Simplify (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) into (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (+ a b)) 4.901 * [approximate]: Taking taylor expansion of (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (+ a b)) in (b a) around 0 4.901 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (+ a b)) in a 4.901 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in a 4.902 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 4.902 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in a 4.902 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 4.902 * [taylor]: Taking taylor expansion of 1/2 in a 4.902 * [backup-simplify]: Simplify 1/2 into 1/2 4.902 * [taylor]: Taking taylor expansion of PI in a 4.902 * [backup-simplify]: Simplify PI into PI 4.902 * [taylor]: Taking taylor expansion of (/ -1 b) in a 4.902 * [taylor]: Taking taylor expansion of -1 in a 4.902 * [backup-simplify]: Simplify -1 into -1 4.902 * [taylor]: Taking taylor expansion of b in a 4.902 * [backup-simplify]: Simplify b into b 4.902 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 4.902 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 4.902 * [taylor]: Taking taylor expansion of 1/2 in a 4.902 * [backup-simplify]: Simplify 1/2 into 1/2 4.902 * [taylor]: Taking taylor expansion of (/ PI a) in a 4.902 * [taylor]: Taking taylor expansion of PI in a 4.902 * [backup-simplify]: Simplify PI into PI 4.902 * [taylor]: Taking taylor expansion of a in a 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 1 into 1 4.903 * [backup-simplify]: Simplify (/ PI 1) into PI 4.903 * [taylor]: Taking taylor expansion of (+ a b) in a 4.903 * [taylor]: Taking taylor expansion of a in a 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 1 into 1 4.903 * [taylor]: Taking taylor expansion of b in a 4.903 * [backup-simplify]: Simplify b into b 4.903 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 4.904 * [backup-simplify]: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) 4.905 * [backup-simplify]: Simplify (+ 0 b) into b 4.905 * [backup-simplify]: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) 4.905 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (+ a b)) in b 4.905 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in b 4.905 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 4.905 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in b 4.905 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 4.905 * [taylor]: Taking taylor expansion of 1/2 in b 4.905 * [backup-simplify]: Simplify 1/2 into 1/2 4.905 * [taylor]: Taking taylor expansion of PI in b 4.905 * [backup-simplify]: Simplify PI into PI 4.905 * [taylor]: Taking taylor expansion of (/ -1 b) in b 4.905 * [taylor]: Taking taylor expansion of -1 in b 4.905 * [backup-simplify]: Simplify -1 into -1 4.905 * [taylor]: Taking taylor expansion of b in b 4.905 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify 1 into 1 4.906 * [backup-simplify]: Simplify (/ -1 1) into -1 4.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 4.906 * [taylor]: Taking taylor expansion of 1/2 in b 4.906 * [backup-simplify]: Simplify 1/2 into 1/2 4.906 * [taylor]: Taking taylor expansion of (/ PI a) in b 4.906 * [taylor]: Taking taylor expansion of PI in b 4.906 * [backup-simplify]: Simplify PI into PI 4.906 * [taylor]: Taking taylor expansion of a in b 4.906 * [backup-simplify]: Simplify a into a 4.906 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 4.906 * [taylor]: Taking taylor expansion of (+ a b) in b 4.906 * [taylor]: Taking taylor expansion of a in b 4.906 * [backup-simplify]: Simplify a into a 4.906 * [taylor]: Taking taylor expansion of b in b 4.906 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify 1 into 1 4.907 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 4.908 * [backup-simplify]: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) 4.909 * [backup-simplify]: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) 4.909 * [backup-simplify]: Simplify (+ a 0) into a 4.910 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) 4.910 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (+ a b)) in b 4.910 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in b 4.910 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 4.911 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in b 4.911 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 4.911 * [taylor]: Taking taylor expansion of 1/2 in b 4.911 * [backup-simplify]: Simplify 1/2 into 1/2 4.911 * [taylor]: Taking taylor expansion of PI in b 4.911 * [backup-simplify]: Simplify PI into PI 4.911 * [taylor]: Taking taylor expansion of (/ -1 b) in b 4.911 * [taylor]: Taking taylor expansion of -1 in b 4.911 * [backup-simplify]: Simplify -1 into -1 4.911 * [taylor]: Taking taylor expansion of b in b 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [backup-simplify]: Simplify (/ -1 1) into -1 4.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 4.911 * [taylor]: Taking taylor expansion of 1/2 in b 4.911 * [backup-simplify]: Simplify 1/2 into 1/2 4.911 * [taylor]: Taking taylor expansion of (/ PI a) in b 4.911 * [taylor]: Taking taylor expansion of PI in b 4.911 * [backup-simplify]: Simplify PI into PI 4.911 * [taylor]: Taking taylor expansion of a in b 4.911 * [backup-simplify]: Simplify a into a 4.911 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 4.912 * [taylor]: Taking taylor expansion of (+ a b) in b 4.912 * [taylor]: Taking taylor expansion of a in b 4.912 * [backup-simplify]: Simplify a into a 4.912 * [taylor]: Taking taylor expansion of b in b 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 4.913 * [backup-simplify]: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) 4.914 * [backup-simplify]: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) 4.914 * [backup-simplify]: Simplify (+ a 0) into a 4.916 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) 4.916 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI a)) in a 4.916 * [taylor]: Taking taylor expansion of -1/2 in a 4.916 * [backup-simplify]: Simplify -1/2 into -1/2 4.916 * [taylor]: Taking taylor expansion of (/ PI a) in a 4.916 * [taylor]: Taking taylor expansion of PI in a 4.916 * [backup-simplify]: Simplify PI into PI 4.916 * [taylor]: Taking taylor expansion of a in a 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify (/ PI 1) into PI 4.917 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 4.917 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 4.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 4.920 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (* 0 -1)) into 0 4.920 * [backup-simplify]: Simplify (* 1/2 (/ PI a)) into (* 1/2 (/ PI a)) 4.920 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ PI a))) into (* 1/2 (/ PI a)) 4.921 * [backup-simplify]: Simplify (+ 0 1) into 1 4.921 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ PI a)) a) (+ (* (* -1/2 (/ PI a)) (/ 1 a)))) into (/ PI (pow a 2)) 4.921 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 4.921 * [taylor]: Taking taylor expansion of PI in a 4.921 * [backup-simplify]: Simplify PI into PI 4.921 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.921 * [taylor]: Taking taylor expansion of a in a 4.921 * [backup-simplify]: Simplify 0 into 0 4.921 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (* 1 1) into 1 4.922 * [backup-simplify]: Simplify (/ PI 1) into PI 4.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.926 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 4.930 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 4.930 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)))) into 0 4.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI a))) into 0 4.931 * [backup-simplify]: Simplify (+ 0 0) into 0 4.931 * [backup-simplify]: Simplify (+ 0 0) into 0 4.932 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1/2 (/ PI a)) (/ 0 a)) (* (/ PI (pow a 2)) (/ 1 a)))) into (- (/ PI (pow a 3))) 4.933 * [taylor]: Taking taylor expansion of (- (/ PI (pow a 3))) in a 4.933 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 4.933 * [taylor]: Taking taylor expansion of PI in a 4.933 * [backup-simplify]: Simplify PI into PI 4.933 * [taylor]: Taking taylor expansion of (pow a 3) in a 4.933 * [taylor]: Taking taylor expansion of a in a 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (* 1 1) into 1 4.934 * [backup-simplify]: Simplify (* 1 1) into 1 4.934 * [backup-simplify]: Simplify (/ PI 1) into PI 4.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.940 * [backup-simplify]: Simplify (- 0) into 0 4.940 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.942 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 4.945 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.949 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.949 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 4.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ PI a)))) into 0 4.950 * [backup-simplify]: Simplify (+ 0 0) into 0 4.951 * [backup-simplify]: Simplify (+ 0 0) into 0 4.951 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1/2 (/ PI a)) (/ 0 a)) (* (/ PI (pow a 2)) (/ 0 a)) (* (- (/ PI (pow a 3))) (/ 1 a)))) into (/ PI (pow a 4)) 4.951 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 4.951 * [taylor]: Taking taylor expansion of PI in a 4.951 * [backup-simplify]: Simplify PI into PI 4.951 * [taylor]: Taking taylor expansion of (pow a 4) in a 4.951 * [taylor]: Taking taylor expansion of a in a 4.951 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify 1 into 1 4.952 * [backup-simplify]: Simplify (* 1 1) into 1 4.952 * [backup-simplify]: Simplify (* 1 1) into 1 4.953 * [backup-simplify]: Simplify (/ PI 1) into PI 4.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.961 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify (* (* -1/2 PI) (* (/ 1 a) (/ 1 b))) into (* -1/2 (/ PI (* a b))) 4.963 * [backup-simplify]: Simplify (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (+ (/ 1 b) (/ 1 a))) into (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (+ (/ 1 b) (/ 1 a))) 4.963 * [approximate]: Taking taylor expansion of (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (+ (/ 1 b) (/ 1 a))) in (b a) around 0 4.963 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (+ (/ 1 b) (/ 1 a))) in a 4.963 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in a 4.964 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 4.964 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in a 4.964 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 4.964 * [taylor]: Taking taylor expansion of 1/2 in a 4.964 * [backup-simplify]: Simplify 1/2 into 1/2 4.964 * [taylor]: Taking taylor expansion of PI in a 4.964 * [backup-simplify]: Simplify PI into PI 4.964 * [taylor]: Taking taylor expansion of (* -1 b) in a 4.964 * [taylor]: Taking taylor expansion of -1 in a 4.964 * [backup-simplify]: Simplify -1 into -1 4.964 * [taylor]: Taking taylor expansion of b in a 4.964 * [backup-simplify]: Simplify b into b 4.964 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 4.964 * [taylor]: Taking taylor expansion of 1/2 in a 4.964 * [backup-simplify]: Simplify 1/2 into 1/2 4.964 * [taylor]: Taking taylor expansion of (* a PI) in a 4.964 * [taylor]: Taking taylor expansion of a in a 4.964 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify 1 into 1 4.964 * [taylor]: Taking taylor expansion of PI in a 4.964 * [backup-simplify]: Simplify PI into PI 4.964 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 4.964 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.964 * [taylor]: Taking taylor expansion of b in a 4.964 * [backup-simplify]: Simplify b into b 4.964 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.964 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.964 * [taylor]: Taking taylor expansion of a in a 4.964 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify 1 into 1 4.965 * [backup-simplify]: Simplify (/ 1 1) into 1 4.965 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 4.965 * [backup-simplify]: Simplify (* -1 b) into (* -1 b) 4.966 * [backup-simplify]: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* b PI)) 4.966 * [backup-simplify]: Simplify (* 0 PI) into 0 4.967 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.967 * [backup-simplify]: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) 4.967 * [backup-simplify]: Simplify (+ 0 1) into 1 4.967 * [backup-simplify]: Simplify (/ (- (* 1/2 (* b PI))) 1) into (* -1/2 (* PI b)) 4.967 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (+ (/ 1 b) (/ 1 a))) in b 4.967 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in b 4.967 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 4.967 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in b 4.968 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 4.968 * [taylor]: Taking taylor expansion of 1/2 in b 4.968 * [backup-simplify]: Simplify 1/2 into 1/2 4.968 * [taylor]: Taking taylor expansion of PI in b 4.968 * [backup-simplify]: Simplify PI into PI 4.968 * [taylor]: Taking taylor expansion of (* -1 b) in b 4.968 * [taylor]: Taking taylor expansion of -1 in b 4.968 * [backup-simplify]: Simplify -1 into -1 4.968 * [taylor]: Taking taylor expansion of b in b 4.968 * [backup-simplify]: Simplify 0 into 0 4.968 * [backup-simplify]: Simplify 1 into 1 4.968 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 4.968 * [taylor]: Taking taylor expansion of 1/2 in b 4.968 * [backup-simplify]: Simplify 1/2 into 1/2 4.968 * [taylor]: Taking taylor expansion of (* a PI) in b 4.968 * [taylor]: Taking taylor expansion of a in b 4.968 * [backup-simplify]: Simplify a into a 4.968 * [taylor]: Taking taylor expansion of PI in b 4.968 * [backup-simplify]: Simplify PI into PI 4.968 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 4.968 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.968 * [taylor]: Taking taylor expansion of b in b 4.968 * [backup-simplify]: Simplify 0 into 0 4.968 * [backup-simplify]: Simplify 1 into 1 4.968 * [backup-simplify]: Simplify (/ 1 1) into 1 4.969 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.969 * [taylor]: Taking taylor expansion of a in b 4.969 * [backup-simplify]: Simplify a into a 4.969 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.969 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 4.970 * [backup-simplify]: Simplify (* -1 0) into 0 4.970 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 4.971 * [backup-simplify]: Simplify (* a PI) into (* a PI) 4.971 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 4.971 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) 4.971 * [backup-simplify]: Simplify (+ 1 0) into 1 4.971 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 4.971 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (+ (/ 1 b) (/ 1 a))) in b 4.971 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in b 4.971 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 4.971 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in b 4.971 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 4.972 * [taylor]: Taking taylor expansion of 1/2 in b 4.972 * [backup-simplify]: Simplify 1/2 into 1/2 4.972 * [taylor]: Taking taylor expansion of PI in b 4.972 * [backup-simplify]: Simplify PI into PI 4.972 * [taylor]: Taking taylor expansion of (* -1 b) in b 4.972 * [taylor]: Taking taylor expansion of -1 in b 4.972 * [backup-simplify]: Simplify -1 into -1 4.972 * [taylor]: Taking taylor expansion of b in b 4.972 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify 1 into 1 4.972 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 4.972 * [taylor]: Taking taylor expansion of 1/2 in b 4.972 * [backup-simplify]: Simplify 1/2 into 1/2 4.972 * [taylor]: Taking taylor expansion of (* a PI) in b 4.972 * [taylor]: Taking taylor expansion of a in b 4.972 * [backup-simplify]: Simplify a into a 4.972 * [taylor]: Taking taylor expansion of PI in b 4.972 * [backup-simplify]: Simplify PI into PI 4.972 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 4.972 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.972 * [taylor]: Taking taylor expansion of b in b 4.972 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify 1 into 1 4.972 * [backup-simplify]: Simplify (/ 1 1) into 1 4.972 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.972 * [taylor]: Taking taylor expansion of a in b 4.973 * [backup-simplify]: Simplify a into a 4.973 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.973 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 4.974 * [backup-simplify]: Simplify (* -1 0) into 0 4.974 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 4.974 * [backup-simplify]: Simplify (* a PI) into (* a PI) 4.974 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 4.974 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) 4.975 * [backup-simplify]: Simplify (+ 1 0) into 1 4.975 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 4.976 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 4.976 * [taylor]: Taking taylor expansion of 1/2 in a 4.976 * [backup-simplify]: Simplify 1/2 into 1/2 4.976 * [taylor]: Taking taylor expansion of (* a PI) in a 4.976 * [taylor]: Taking taylor expansion of a in a 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [taylor]: Taking taylor expansion of PI in a 4.976 * [backup-simplify]: Simplify PI into PI 4.978 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.978 * [backup-simplify]: Simplify (* 0 PI) into 0 4.980 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 4.980 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 4.981 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 4.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 4.984 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) -1) (* 0 0)) into (- (* 1/2 PI)) 4.985 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 4.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* a PI))) into 0 4.987 * [backup-simplify]: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) 4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 4.990 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* a PI)) (/ (/ 1 a) 1)))) into (- PI) 4.990 * [taylor]: Taking taylor expansion of (- PI) in a 4.990 * [taylor]: Taking taylor expansion of PI in a 4.990 * [backup-simplify]: Simplify PI into PI 4.991 * [backup-simplify]: Simplify (- 0) into 0 4.991 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 4.993 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 4.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 4.996 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 -1) (* 0 0))) into 0 4.997 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 PI))) into 0 4.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* a PI)))) into 0 4.998 * [backup-simplify]: Simplify (+ 0 0) into 0 4.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 5.000 * [backup-simplify]: Simplify (+ 0 0) into 0 5.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 5.001 * [taylor]: Taking taylor expansion of (/ PI a) in a 5.001 * [taylor]: Taking taylor expansion of PI in a 5.001 * [backup-simplify]: Simplify PI into PI 5.001 * [taylor]: Taking taylor expansion of a in a 5.001 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify 1 into 1 5.002 * [backup-simplify]: Simplify (/ PI 1) into PI 5.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify (- 0) into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.007 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.011 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))) into 0 5.012 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* a PI))))) into 0 5.013 * [backup-simplify]: Simplify (+ 0 0) into 0 5.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 5.015 * [backup-simplify]: Simplify (+ 0 0) into 0 5.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- PI) (/ 0 1)) (* (/ PI a) (/ (/ 1 a) 1)))) into (- (/ PI (pow a 2))) 5.017 * [taylor]: Taking taylor expansion of (- (/ PI (pow a 2))) in a 5.017 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 5.017 * [taylor]: Taking taylor expansion of PI in a 5.017 * [backup-simplify]: Simplify PI into PI 5.017 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.017 * [taylor]: Taking taylor expansion of a in a 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [backup-simplify]: Simplify 1 into 1 5.017 * [backup-simplify]: Simplify (* 1 1) into 1 5.024 * [backup-simplify]: Simplify (/ PI 1) into PI 5.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.028 * [backup-simplify]: Simplify (- 0) into 0 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (* a b))) 5.029 * [backup-simplify]: Simplify (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (+ (/ 1 b) (/ 1 a)))) 5.029 * [approximate]: Taking taylor expansion of (* -1 (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 5.029 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (+ (/ 1 b) (/ 1 a)))) in a 5.029 * [taylor]: Taking taylor expansion of -1 in a 5.029 * [backup-simplify]: Simplify -1 into -1 5.029 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (+ (/ 1 b) (/ 1 a))) in a 5.029 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in a 5.029 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 5.029 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in a 5.029 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 5.029 * [taylor]: Taking taylor expansion of 1/2 in a 5.029 * [backup-simplify]: Simplify 1/2 into 1/2 5.029 * [taylor]: Taking taylor expansion of PI in a 5.029 * [backup-simplify]: Simplify PI into PI 5.029 * [taylor]: Taking taylor expansion of b in a 5.029 * [backup-simplify]: Simplify b into b 5.029 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 5.029 * [taylor]: Taking taylor expansion of -1/2 in a 5.029 * [backup-simplify]: Simplify -1/2 into -1/2 5.029 * [taylor]: Taking taylor expansion of (* a PI) in a 5.029 * [taylor]: Taking taylor expansion of a in a 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.029 * [taylor]: Taking taylor expansion of PI in a 5.029 * [backup-simplify]: Simplify PI into PI 5.029 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 5.029 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.029 * [taylor]: Taking taylor expansion of b in a 5.029 * [backup-simplify]: Simplify b into b 5.030 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.030 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.030 * [taylor]: Taking taylor expansion of a in a 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [backup-simplify]: Simplify 1 into 1 5.030 * [backup-simplify]: Simplify (/ 1 1) into 1 5.030 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.030 * [backup-simplify]: Simplify (* (* 1/2 PI) b) into (* 1/2 (* b PI)) 5.031 * [backup-simplify]: Simplify (* 0 PI) into 0 5.031 * [backup-simplify]: Simplify (* -1/2 0) into 0 5.031 * [backup-simplify]: Simplify (+ (* 1/2 (* b PI)) 0) into (* 1/2 (* b PI)) 5.031 * [backup-simplify]: Simplify (+ 0 1) into 1 5.031 * [backup-simplify]: Simplify (/ (* 1/2 (* b PI)) 1) into (* 1/2 (* PI b)) 5.031 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (+ (/ 1 b) (/ 1 a)))) in b 5.032 * [taylor]: Taking taylor expansion of -1 in b 5.032 * [backup-simplify]: Simplify -1 into -1 5.032 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (+ (/ 1 b) (/ 1 a))) in b 5.032 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in b 5.032 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 5.032 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in b 5.032 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.032 * [taylor]: Taking taylor expansion of 1/2 in b 5.032 * [backup-simplify]: Simplify 1/2 into 1/2 5.032 * [taylor]: Taking taylor expansion of PI in b 5.032 * [backup-simplify]: Simplify PI into PI 5.032 * [taylor]: Taking taylor expansion of b in b 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 1 into 1 5.032 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in b 5.032 * [taylor]: Taking taylor expansion of -1/2 in b 5.032 * [backup-simplify]: Simplify -1/2 into -1/2 5.032 * [taylor]: Taking taylor expansion of (* a PI) in b 5.032 * [taylor]: Taking taylor expansion of a in b 5.032 * [backup-simplify]: Simplify a into a 5.032 * [taylor]: Taking taylor expansion of PI in b 5.032 * [backup-simplify]: Simplify PI into PI 5.032 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 5.032 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.032 * [taylor]: Taking taylor expansion of b in b 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 1 into 1 5.032 * [backup-simplify]: Simplify (/ 1 1) into 1 5.032 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.032 * [taylor]: Taking taylor expansion of a in b 5.032 * [backup-simplify]: Simplify a into a 5.032 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.033 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.033 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 5.033 * [backup-simplify]: Simplify (* a PI) into (* a PI) 5.033 * [backup-simplify]: Simplify (* -1/2 (* a PI)) into (* -1/2 (* a PI)) 5.033 * [backup-simplify]: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) 5.033 * [backup-simplify]: Simplify (+ 1 0) into 1 5.033 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) 5.034 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (+ (/ 1 b) (/ 1 a)))) in b 5.034 * [taylor]: Taking taylor expansion of -1 in b 5.034 * [backup-simplify]: Simplify -1 into -1 5.034 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (+ (/ 1 b) (/ 1 a))) in b 5.034 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in b 5.034 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 5.034 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in b 5.034 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.034 * [taylor]: Taking taylor expansion of 1/2 in b 5.034 * [backup-simplify]: Simplify 1/2 into 1/2 5.034 * [taylor]: Taking taylor expansion of PI in b 5.034 * [backup-simplify]: Simplify PI into PI 5.034 * [taylor]: Taking taylor expansion of b in b 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 1 into 1 5.034 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in b 5.034 * [taylor]: Taking taylor expansion of -1/2 in b 5.034 * [backup-simplify]: Simplify -1/2 into -1/2 5.034 * [taylor]: Taking taylor expansion of (* a PI) in b 5.034 * [taylor]: Taking taylor expansion of a in b 5.034 * [backup-simplify]: Simplify a into a 5.034 * [taylor]: Taking taylor expansion of PI in b 5.034 * [backup-simplify]: Simplify PI into PI 5.034 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 5.034 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.034 * [taylor]: Taking taylor expansion of b in b 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 1 into 1 5.034 * [backup-simplify]: Simplify (/ 1 1) into 1 5.034 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.034 * [taylor]: Taking taylor expansion of a in b 5.034 * [backup-simplify]: Simplify a into a 5.034 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.035 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.035 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 5.035 * [backup-simplify]: Simplify (* a PI) into (* a PI) 5.035 * [backup-simplify]: Simplify (* -1/2 (* a PI)) into (* -1/2 (* a PI)) 5.035 * [backup-simplify]: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) 5.035 * [backup-simplify]: Simplify (+ 1 0) into 1 5.035 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) 5.036 * [backup-simplify]: Simplify (* -1 (* -1/2 (* a PI))) into (* 1/2 (* a PI)) 5.036 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 5.036 * [taylor]: Taking taylor expansion of 1/2 in a 5.036 * [backup-simplify]: Simplify 1/2 into 1/2 5.036 * [taylor]: Taking taylor expansion of (* a PI) in a 5.036 * [taylor]: Taking taylor expansion of a in a 5.036 * [backup-simplify]: Simplify 0 into 0 5.036 * [backup-simplify]: Simplify 1 into 1 5.036 * [taylor]: Taking taylor expansion of PI in a 5.036 * [backup-simplify]: Simplify PI into PI 5.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.037 * [backup-simplify]: Simplify (* 0 PI) into 0 5.038 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 5.038 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.040 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 1) (* 0 0)) into (* 1/2 PI) 5.041 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 5.041 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (* a PI))) into 0 5.042 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 5.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.042 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 5.043 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* a PI)) (/ (/ 1 a) 1)))) into PI 5.043 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 (* -1/2 (* a PI)))) into (- PI) 5.043 * [taylor]: Taking taylor expansion of (- PI) in a 5.043 * [taylor]: Taking taylor expansion of PI in a 5.043 * [backup-simplify]: Simplify PI into PI 5.044 * [backup-simplify]: Simplify (- 0) into 0 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 5.045 * [backup-simplify]: Simplify 0 into 0 5.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.046 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 1) (* 0 0))) into 0 5.047 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 PI))) into 0 5.047 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (* a PI)))) into 0 5.047 * [backup-simplify]: Simplify (+ 0 0) into 0 5.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 5.048 * [backup-simplify]: Simplify (+ 0 0) into 0 5.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1/2 (* a PI)) (/ 0 1)) (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 5.049 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI a))) (+ (* 0 PI) (* 0 (* -1/2 (* a PI))))) into (/ PI a) 5.049 * [taylor]: Taking taylor expansion of (/ PI a) in a 5.049 * [taylor]: Taking taylor expansion of PI in a 5.049 * [backup-simplify]: Simplify PI into PI 5.049 * [taylor]: Taking taylor expansion of a in a 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 1 into 1 5.050 * [backup-simplify]: Simplify (/ PI 1) into PI 5.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify (- 0) into 0 5.051 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.053 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.054 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.055 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.056 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* a PI))))) into 0 5.056 * [backup-simplify]: Simplify (+ 0 0) into 0 5.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 5.057 * [backup-simplify]: Simplify (+ 0 0) into 0 5.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1/2 (* a PI)) (/ 0 1)) (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 5.060 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (+ (* 0 PI) (* 0 (* -1/2 (* a PI)))))) into (- (/ PI (pow a 2))) 5.060 * [taylor]: Taking taylor expansion of (- (/ PI (pow a 2))) in a 5.060 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 5.060 * [taylor]: Taking taylor expansion of PI in a 5.060 * [backup-simplify]: Simplify PI into PI 5.060 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.060 * [taylor]: Taking taylor expansion of a in a 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.061 * [backup-simplify]: Simplify (* 1 1) into 1 5.061 * [backup-simplify]: Simplify (/ PI 1) into PI 5.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.067 * [backup-simplify]: Simplify (- 0) into 0 5.067 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 (- a)) (/ 1 (- b)))) into (* 1/2 (/ PI (* a b))) 5.068 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.069 * [backup-simplify]: Simplify (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) into (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) 5.069 * [approximate]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in (b a) around 0 5.069 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in a 5.069 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 5.069 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in a 5.069 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 5.069 * [taylor]: Taking taylor expansion of 1/2 in a 5.070 * [backup-simplify]: Simplify 1/2 into 1/2 5.070 * [taylor]: Taking taylor expansion of PI in a 5.070 * [backup-simplify]: Simplify PI into PI 5.070 * [taylor]: Taking taylor expansion of (/ -1 b) in a 5.070 * [taylor]: Taking taylor expansion of -1 in a 5.070 * [backup-simplify]: Simplify -1 into -1 5.070 * [taylor]: Taking taylor expansion of b in a 5.070 * [backup-simplify]: Simplify b into b 5.070 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 5.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 5.070 * [taylor]: Taking taylor expansion of 1/2 in a 5.070 * [backup-simplify]: Simplify 1/2 into 1/2 5.070 * [taylor]: Taking taylor expansion of (/ PI a) in a 5.070 * [taylor]: Taking taylor expansion of PI in a 5.070 * [backup-simplify]: Simplify PI into PI 5.070 * [taylor]: Taking taylor expansion of a in a 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify 1 into 1 5.070 * [backup-simplify]: Simplify (/ PI 1) into PI 5.070 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in b 5.071 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 5.071 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in b 5.071 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.071 * [taylor]: Taking taylor expansion of 1/2 in b 5.071 * [backup-simplify]: Simplify 1/2 into 1/2 5.071 * [taylor]: Taking taylor expansion of PI in b 5.071 * [backup-simplify]: Simplify PI into PI 5.071 * [taylor]: Taking taylor expansion of (/ -1 b) in b 5.071 * [taylor]: Taking taylor expansion of -1 in b 5.071 * [backup-simplify]: Simplify -1 into -1 5.071 * [taylor]: Taking taylor expansion of b in b 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify 1 into 1 5.071 * [backup-simplify]: Simplify (/ -1 1) into -1 5.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 5.071 * [taylor]: Taking taylor expansion of 1/2 in b 5.071 * [backup-simplify]: Simplify 1/2 into 1/2 5.071 * [taylor]: Taking taylor expansion of (/ PI a) in b 5.072 * [taylor]: Taking taylor expansion of PI in b 5.072 * [backup-simplify]: Simplify PI into PI 5.072 * [taylor]: Taking taylor expansion of a in b 5.072 * [backup-simplify]: Simplify a into a 5.072 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 5.072 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in b 5.072 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 5.072 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in b 5.072 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.072 * [taylor]: Taking taylor expansion of 1/2 in b 5.072 * [backup-simplify]: Simplify 1/2 into 1/2 5.072 * [taylor]: Taking taylor expansion of PI in b 5.072 * [backup-simplify]: Simplify PI into PI 5.072 * [taylor]: Taking taylor expansion of (/ -1 b) in b 5.072 * [taylor]: Taking taylor expansion of -1 in b 5.072 * [backup-simplify]: Simplify -1 into -1 5.072 * [taylor]: Taking taylor expansion of b in b 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (/ -1 1) into -1 5.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 5.073 * [taylor]: Taking taylor expansion of 1/2 in b 5.073 * [backup-simplify]: Simplify 1/2 into 1/2 5.073 * [taylor]: Taking taylor expansion of (/ PI a) in b 5.073 * [taylor]: Taking taylor expansion of PI in b 5.073 * [backup-simplify]: Simplify PI into PI 5.073 * [taylor]: Taking taylor expansion of a in b 5.073 * [backup-simplify]: Simplify a into a 5.073 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 5.073 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.075 * [backup-simplify]: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) 5.076 * [backup-simplify]: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) 5.076 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in a 5.076 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 5.076 * [taylor]: Taking taylor expansion of 1/2 in a 5.076 * [backup-simplify]: Simplify 1/2 into 1/2 5.076 * [taylor]: Taking taylor expansion of PI in a 5.076 * [backup-simplify]: Simplify PI into PI 5.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.079 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (* 0 -1)) into 0 5.079 * [backup-simplify]: Simplify (* 1/2 (/ PI a)) into (* 1/2 (/ PI a)) 5.079 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ PI a))) into (* 1/2 (/ PI a)) 5.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 5.079 * [taylor]: Taking taylor expansion of 1/2 in a 5.079 * [backup-simplify]: Simplify 1/2 into 1/2 5.079 * [taylor]: Taking taylor expansion of (/ PI a) in a 5.079 * [taylor]: Taking taylor expansion of PI in a 5.079 * [backup-simplify]: Simplify PI into PI 5.079 * [taylor]: Taking taylor expansion of a in a 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 1 into 1 5.080 * [backup-simplify]: Simplify (/ PI 1) into PI 5.080 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.081 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.081 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.083 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 5.084 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 5.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.087 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 5.087 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)))) into 0 5.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI a))) into 0 5.088 * [backup-simplify]: Simplify (+ 0 0) into 0 5.088 * [taylor]: Taking taylor expansion of 0 in a 5.088 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.090 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.092 * [backup-simplify]: Simplify (- 0) into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.096 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.096 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 5.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ PI a)))) into 0 5.098 * [backup-simplify]: Simplify (+ 0 0) into 0 5.098 * [taylor]: Taking taylor expansion of 0 in a 5.098 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify 0 into 0 5.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.100 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.101 * [backup-simplify]: Simplify (- 0) into 0 5.102 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.105 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 5.106 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 5.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI a))))) into 0 5.107 * [backup-simplify]: Simplify (+ 0 0) into 0 5.107 * [taylor]: Taking taylor expansion of 0 in a 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI)) (* 1 (/ 1 b))) (* (* 1/2 PI) (* (/ 1 a) 1))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 5.110 * [backup-simplify]: Simplify (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) into (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) 5.110 * [approximate]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in (b a) around 0 5.110 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in a 5.110 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 5.110 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in a 5.111 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 5.111 * [taylor]: Taking taylor expansion of 1/2 in a 5.111 * [backup-simplify]: Simplify 1/2 into 1/2 5.111 * [taylor]: Taking taylor expansion of PI in a 5.111 * [backup-simplify]: Simplify PI into PI 5.111 * [taylor]: Taking taylor expansion of (* -1 b) in a 5.111 * [taylor]: Taking taylor expansion of -1 in a 5.111 * [backup-simplify]: Simplify -1 into -1 5.111 * [taylor]: Taking taylor expansion of b in a 5.111 * [backup-simplify]: Simplify b into b 5.111 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 5.111 * [taylor]: Taking taylor expansion of 1/2 in a 5.111 * [backup-simplify]: Simplify 1/2 into 1/2 5.111 * [taylor]: Taking taylor expansion of (* a PI) in a 5.111 * [taylor]: Taking taylor expansion of a in a 5.111 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify 1 into 1 5.111 * [taylor]: Taking taylor expansion of PI in a 5.111 * [backup-simplify]: Simplify PI into PI 5.111 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in b 5.111 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 5.111 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in b 5.111 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.111 * [taylor]: Taking taylor expansion of 1/2 in b 5.111 * [backup-simplify]: Simplify 1/2 into 1/2 5.111 * [taylor]: Taking taylor expansion of PI in b 5.111 * [backup-simplify]: Simplify PI into PI 5.111 * [taylor]: Taking taylor expansion of (* -1 b) in b 5.111 * [taylor]: Taking taylor expansion of -1 in b 5.111 * [backup-simplify]: Simplify -1 into -1 5.111 * [taylor]: Taking taylor expansion of b in b 5.111 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify 1 into 1 5.111 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 5.111 * [taylor]: Taking taylor expansion of 1/2 in b 5.111 * [backup-simplify]: Simplify 1/2 into 1/2 5.111 * [taylor]: Taking taylor expansion of (* a PI) in b 5.111 * [taylor]: Taking taylor expansion of a in b 5.112 * [backup-simplify]: Simplify a into a 5.112 * [taylor]: Taking taylor expansion of PI in b 5.112 * [backup-simplify]: Simplify PI into PI 5.112 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in b 5.112 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 5.112 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in b 5.112 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.112 * [taylor]: Taking taylor expansion of 1/2 in b 5.112 * [backup-simplify]: Simplify 1/2 into 1/2 5.112 * [taylor]: Taking taylor expansion of PI in b 5.112 * [backup-simplify]: Simplify PI into PI 5.112 * [taylor]: Taking taylor expansion of (* -1 b) in b 5.112 * [taylor]: Taking taylor expansion of -1 in b 5.112 * [backup-simplify]: Simplify -1 into -1 5.112 * [taylor]: Taking taylor expansion of b in b 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 5.112 * [taylor]: Taking taylor expansion of 1/2 in b 5.112 * [backup-simplify]: Simplify 1/2 into 1/2 5.112 * [taylor]: Taking taylor expansion of (* a PI) in b 5.112 * [taylor]: Taking taylor expansion of a in b 5.112 * [backup-simplify]: Simplify a into a 5.112 * [taylor]: Taking taylor expansion of PI in b 5.112 * [backup-simplify]: Simplify PI into PI 5.113 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.113 * [backup-simplify]: Simplify (* -1 0) into 0 5.114 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 5.114 * [backup-simplify]: Simplify (* a PI) into (* a PI) 5.114 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 5.114 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) 5.114 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 5.114 * [taylor]: Taking taylor expansion of 1/2 in a 5.114 * [backup-simplify]: Simplify 1/2 into 1/2 5.115 * [taylor]: Taking taylor expansion of (* a PI) in a 5.115 * [taylor]: Taking taylor expansion of a in a 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 1 into 1 5.115 * [taylor]: Taking taylor expansion of PI in a 5.115 * [backup-simplify]: Simplify PI into PI 5.115 * [backup-simplify]: Simplify (* 0 PI) into 0 5.116 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 5.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.120 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) -1) (* 0 0)) into (- (* 1/2 PI)) 5.121 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 5.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* a PI))) into 0 5.123 * [backup-simplify]: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) 5.123 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in a 5.123 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 5.123 * [taylor]: Taking taylor expansion of 1/2 in a 5.123 * [backup-simplify]: Simplify 1/2 into 1/2 5.123 * [taylor]: Taking taylor expansion of PI in a 5.123 * [backup-simplify]: Simplify PI into PI 5.124 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.125 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 5.126 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 5.128 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.129 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 5.130 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.131 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 5.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.133 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 -1) (* 0 0))) into 0 5.134 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 PI))) into 0 5.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* a PI)))) into 0 5.135 * [backup-simplify]: Simplify (+ 0 0) into 0 5.135 * [taylor]: Taking taylor expansion of 0 in a 5.135 * [backup-simplify]: Simplify 0 into 0 5.135 * [backup-simplify]: Simplify 0 into 0 5.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.136 * [backup-simplify]: Simplify (- 0) into 0 5.136 * [backup-simplify]: Simplify 0 into 0 5.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 5.138 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.143 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 -1) (* 0 0)))) into 0 5.144 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* a PI))))) into 0 5.145 * [backup-simplify]: Simplify (+ 0 0) into 0 5.145 * [taylor]: Taking taylor expansion of 0 in a 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.146 * [backup-simplify]: Simplify (- 0) into 0 5.146 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) (* (/ 1 a) 1)) (* (- (* 1/2 PI)) (* 1 (/ 1 b)))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 5.152 * [backup-simplify]: Simplify (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) into (fma (* 1/2 PI) b (* -1/2 (* a PI))) 5.152 * [approximate]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in (b a) around 0 5.152 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in a 5.152 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 5.152 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in a 5.152 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 5.152 * [taylor]: Taking taylor expansion of 1/2 in a 5.152 * [backup-simplify]: Simplify 1/2 into 1/2 5.152 * [taylor]: Taking taylor expansion of PI in a 5.152 * [backup-simplify]: Simplify PI into PI 5.152 * [taylor]: Taking taylor expansion of b in a 5.152 * [backup-simplify]: Simplify b into b 5.152 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 5.152 * [taylor]: Taking taylor expansion of -1/2 in a 5.152 * [backup-simplify]: Simplify -1/2 into -1/2 5.152 * [taylor]: Taking taylor expansion of (* a PI) in a 5.152 * [taylor]: Taking taylor expansion of a in a 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [taylor]: Taking taylor expansion of PI in a 5.152 * [backup-simplify]: Simplify PI into PI 5.152 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in b 5.152 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 5.152 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in b 5.152 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.152 * [taylor]: Taking taylor expansion of 1/2 in b 5.153 * [backup-simplify]: Simplify 1/2 into 1/2 5.153 * [taylor]: Taking taylor expansion of PI in b 5.153 * [backup-simplify]: Simplify PI into PI 5.153 * [taylor]: Taking taylor expansion of b in b 5.153 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify 1 into 1 5.153 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in b 5.153 * [taylor]: Taking taylor expansion of -1/2 in b 5.153 * [backup-simplify]: Simplify -1/2 into -1/2 5.153 * [taylor]: Taking taylor expansion of (* a PI) in b 5.153 * [taylor]: Taking taylor expansion of a in b 5.153 * [backup-simplify]: Simplify a into a 5.153 * [taylor]: Taking taylor expansion of PI in b 5.153 * [backup-simplify]: Simplify PI into PI 5.153 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in b 5.153 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 5.153 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in b 5.153 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.153 * [taylor]: Taking taylor expansion of 1/2 in b 5.153 * [backup-simplify]: Simplify 1/2 into 1/2 5.153 * [taylor]: Taking taylor expansion of PI in b 5.153 * [backup-simplify]: Simplify PI into PI 5.153 * [taylor]: Taking taylor expansion of b in b 5.153 * [backup-simplify]: Simplify 0 into 0 5.153 * [backup-simplify]: Simplify 1 into 1 5.153 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in b 5.153 * [taylor]: Taking taylor expansion of -1/2 in b 5.153 * [backup-simplify]: Simplify -1/2 into -1/2 5.153 * [taylor]: Taking taylor expansion of (* a PI) in b 5.153 * [taylor]: Taking taylor expansion of a in b 5.153 * [backup-simplify]: Simplify a into a 5.153 * [taylor]: Taking taylor expansion of PI in b 5.153 * [backup-simplify]: Simplify PI into PI 5.153 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.154 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 5.154 * [backup-simplify]: Simplify (* a PI) into (* a PI) 5.154 * [backup-simplify]: Simplify (* -1/2 (* a PI)) into (* -1/2 (* a PI)) 5.154 * [backup-simplify]: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) 5.154 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI))) in a 5.154 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 5.154 * [taylor]: Taking taylor expansion of 1/2 in a 5.154 * [backup-simplify]: Simplify 1/2 into 1/2 5.154 * [taylor]: Taking taylor expansion of (* a PI) in a 5.154 * [taylor]: Taking taylor expansion of a in a 5.154 * [backup-simplify]: Simplify 0 into 0 5.154 * [backup-simplify]: Simplify 1 into 1 5.154 * [taylor]: Taking taylor expansion of PI in a 5.154 * [backup-simplify]: Simplify PI into PI 5.154 * [backup-simplify]: Simplify (* 0 PI) into 0 5.155 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.155 * [backup-simplify]: Simplify (- 0) into 0 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.157 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 1) (* 0 0)) into (* 1/2 PI) 5.157 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 5.158 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (* a PI))) into 0 5.158 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 5.158 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 5.158 * [taylor]: Taking taylor expansion of 1/2 in a 5.158 * [backup-simplify]: Simplify 1/2 into 1/2 5.158 * [taylor]: Taking taylor expansion of PI in a 5.158 * [backup-simplify]: Simplify PI into PI 5.159 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.159 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.160 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.161 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 5.162 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 5.162 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 5.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.164 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 1) (* 0 0))) into 0 5.164 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 PI))) into 0 5.165 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (* a PI)))) into 0 5.165 * [backup-simplify]: Simplify (+ 0 0) into 0 5.165 * [taylor]: Taking taylor expansion of 0 in a 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.166 * [backup-simplify]: Simplify 0 into 0 5.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 5.167 * [backup-simplify]: Simplify (- 0) into 0 5.167 * [backup-simplify]: Simplify 0 into 0 5.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.169 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.169 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.170 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* a PI))))) into 0 5.170 * [backup-simplify]: Simplify (+ 0 0) into 0 5.170 * [taylor]: Taking taylor expansion of 0 in a 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.171 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI)) (* (/ 1 (- a)) 1)) (* (* 1/2 PI) (* 1 (/ 1 (- b))))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 5.172 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.173 * [backup-simplify]: Simplify (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) (- b a)) into (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (* (+ a b) (- b a))) 5.173 * [approximate]: Taking taylor expansion of (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (* (+ a b) (- b a))) in (b a) around 0 5.173 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (* (+ a b) (- b a))) in a 5.173 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in a 5.173 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 5.173 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in a 5.173 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 5.173 * [taylor]: Taking taylor expansion of 1/2 in a 5.173 * [backup-simplify]: Simplify 1/2 into 1/2 5.173 * [taylor]: Taking taylor expansion of PI in a 5.173 * [backup-simplify]: Simplify PI into PI 5.173 * [taylor]: Taking taylor expansion of (/ -1 b) in a 5.173 * [taylor]: Taking taylor expansion of -1 in a 5.173 * [backup-simplify]: Simplify -1 into -1 5.173 * [taylor]: Taking taylor expansion of b in a 5.173 * [backup-simplify]: Simplify b into b 5.173 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 5.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 5.173 * [taylor]: Taking taylor expansion of 1/2 in a 5.173 * [backup-simplify]: Simplify 1/2 into 1/2 5.174 * [taylor]: Taking taylor expansion of (/ PI a) in a 5.174 * [taylor]: Taking taylor expansion of PI in a 5.174 * [backup-simplify]: Simplify PI into PI 5.174 * [taylor]: Taking taylor expansion of a in a 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 1 into 1 5.174 * [backup-simplify]: Simplify (/ PI 1) into PI 5.174 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 5.174 * [taylor]: Taking taylor expansion of (+ a b) in a 5.174 * [taylor]: Taking taylor expansion of a in a 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 1 into 1 5.174 * [taylor]: Taking taylor expansion of b in a 5.174 * [backup-simplify]: Simplify b into b 5.174 * [taylor]: Taking taylor expansion of (- b a) in a 5.174 * [taylor]: Taking taylor expansion of b in a 5.174 * [backup-simplify]: Simplify b into b 5.174 * [taylor]: Taking taylor expansion of a in a 5.174 * [backup-simplify]: Simplify 0 into 0 5.174 * [backup-simplify]: Simplify 1 into 1 5.174 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.175 * [backup-simplify]: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) 5.175 * [backup-simplify]: Simplify (+ 0 b) into b 5.175 * [backup-simplify]: Simplify (- 0) into 0 5.175 * [backup-simplify]: Simplify (+ b 0) into b 5.175 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.176 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 5.176 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (* (+ a b) (- b a))) in b 5.176 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in b 5.176 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 5.176 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in b 5.176 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.176 * [taylor]: Taking taylor expansion of 1/2 in b 5.176 * [backup-simplify]: Simplify 1/2 into 1/2 5.176 * [taylor]: Taking taylor expansion of PI in b 5.176 * [backup-simplify]: Simplify PI into PI 5.176 * [taylor]: Taking taylor expansion of (/ -1 b) in b 5.176 * [taylor]: Taking taylor expansion of -1 in b 5.176 * [backup-simplify]: Simplify -1 into -1 5.176 * [taylor]: Taking taylor expansion of b in b 5.176 * [backup-simplify]: Simplify 0 into 0 5.176 * [backup-simplify]: Simplify 1 into 1 5.176 * [backup-simplify]: Simplify (/ -1 1) into -1 5.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 5.176 * [taylor]: Taking taylor expansion of 1/2 in b 5.176 * [backup-simplify]: Simplify 1/2 into 1/2 5.176 * [taylor]: Taking taylor expansion of (/ PI a) in b 5.176 * [taylor]: Taking taylor expansion of PI in b 5.176 * [backup-simplify]: Simplify PI into PI 5.176 * [taylor]: Taking taylor expansion of a in b 5.177 * [backup-simplify]: Simplify a into a 5.177 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 5.177 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 5.177 * [taylor]: Taking taylor expansion of (+ a b) in b 5.177 * [taylor]: Taking taylor expansion of a in b 5.177 * [backup-simplify]: Simplify a into a 5.177 * [taylor]: Taking taylor expansion of b in b 5.177 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify 1 into 1 5.177 * [taylor]: Taking taylor expansion of (- b a) in b 5.177 * [taylor]: Taking taylor expansion of b in b 5.177 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify 1 into 1 5.177 * [taylor]: Taking taylor expansion of a in b 5.177 * [backup-simplify]: Simplify a into a 5.177 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.178 * [backup-simplify]: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) 5.179 * [backup-simplify]: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) 5.179 * [backup-simplify]: Simplify (+ a 0) into a 5.179 * [backup-simplify]: Simplify (- a) into (- a) 5.179 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 5.179 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 5.180 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 5.180 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) (* (+ a b) (- b a))) in b 5.180 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (/ -1 b) (* 1/2 (/ PI a))) in b 5.180 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (/ -1 b)) (* 1/2 (/ PI a))) 5.180 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (/ -1 b)) in b 5.180 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.180 * [taylor]: Taking taylor expansion of 1/2 in b 5.180 * [backup-simplify]: Simplify 1/2 into 1/2 5.180 * [taylor]: Taking taylor expansion of PI in b 5.180 * [backup-simplify]: Simplify PI into PI 5.180 * [taylor]: Taking taylor expansion of (/ -1 b) in b 5.180 * [taylor]: Taking taylor expansion of -1 in b 5.180 * [backup-simplify]: Simplify -1 into -1 5.180 * [taylor]: Taking taylor expansion of b in b 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 1 into 1 5.180 * [backup-simplify]: Simplify (/ -1 1) into -1 5.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 5.180 * [taylor]: Taking taylor expansion of 1/2 in b 5.180 * [backup-simplify]: Simplify 1/2 into 1/2 5.180 * [taylor]: Taking taylor expansion of (/ PI a) in b 5.180 * [taylor]: Taking taylor expansion of PI in b 5.180 * [backup-simplify]: Simplify PI into PI 5.180 * [taylor]: Taking taylor expansion of a in b 5.180 * [backup-simplify]: Simplify a into a 5.180 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 5.180 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 5.180 * [taylor]: Taking taylor expansion of (+ a b) in b 5.180 * [taylor]: Taking taylor expansion of a in b 5.180 * [backup-simplify]: Simplify a into a 5.180 * [taylor]: Taking taylor expansion of b in b 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 1 into 1 5.180 * [taylor]: Taking taylor expansion of (- b a) in b 5.180 * [taylor]: Taking taylor expansion of b in b 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify 1 into 1 5.180 * [taylor]: Taking taylor expansion of a in b 5.180 * [backup-simplify]: Simplify a into a 5.181 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.181 * [backup-simplify]: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) 5.182 * [backup-simplify]: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) 5.182 * [backup-simplify]: Simplify (+ a 0) into a 5.182 * [backup-simplify]: Simplify (- a) into (- a) 5.182 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 5.182 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 5.183 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 5.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 5.183 * [taylor]: Taking taylor expansion of 1/2 in a 5.183 * [backup-simplify]: Simplify 1/2 into 1/2 5.183 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 5.183 * [taylor]: Taking taylor expansion of PI in a 5.183 * [backup-simplify]: Simplify PI into PI 5.183 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.183 * [taylor]: Taking taylor expansion of a in a 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.184 * [backup-simplify]: Simplify (* 1 1) into 1 5.184 * [backup-simplify]: Simplify (/ PI 1) into PI 5.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.185 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.187 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (* 0 -1)) into 0 5.187 * [backup-simplify]: Simplify (* 1/2 (/ PI a)) into (* 1/2 (/ PI a)) 5.187 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ PI a))) into (* 1/2 (/ PI a)) 5.187 * [backup-simplify]: Simplify (- 0) into 0 5.188 * [backup-simplify]: Simplify (+ 1 0) into 1 5.188 * [backup-simplify]: Simplify (+ 0 1) into 1 5.188 * [backup-simplify]: Simplify (+ (* a 1) (* 1 (- a))) into 0 5.188 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ PI a)) (* -1 (pow a 2))) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) into (- (* 1/2 (/ PI (pow a 3)))) 5.188 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a 5.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a 5.189 * [taylor]: Taking taylor expansion of 1/2 in a 5.189 * [backup-simplify]: Simplify 1/2 into 1/2 5.189 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 5.189 * [taylor]: Taking taylor expansion of PI in a 5.189 * [backup-simplify]: Simplify PI into PI 5.189 * [taylor]: Taking taylor expansion of (pow a 3) in a 5.189 * [taylor]: Taking taylor expansion of a in a 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (* 1 1) into 1 5.189 * [backup-simplify]: Simplify (* 1 1) into 1 5.190 * [backup-simplify]: Simplify (/ PI 1) into PI 5.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.194 * [backup-simplify]: Simplify (- 0) into 0 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.195 * [backup-simplify]: Simplify 0 into 0 5.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.197 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 5.197 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)))) into 0 5.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI a))) into 0 5.198 * [backup-simplify]: Simplify (+ 0 0) into 0 5.198 * [backup-simplify]: Simplify (- 0) into 0 5.199 * [backup-simplify]: Simplify (+ 0 0) into 0 5.199 * [backup-simplify]: Simplify (+ 0 0) into 0 5.199 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 1) (* 0 (- a)))) into 1 5.199 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 1 (* -1 (pow a 2)))) (* (- (* 1/2 (/ PI (pow a 3)))) (/ 0 (* -1 (pow a 2)))))) into (* 1/2 (/ PI (pow a 4))) 5.199 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a 5.199 * [taylor]: Taking taylor expansion of 1/2 in a 5.200 * [backup-simplify]: Simplify 1/2 into 1/2 5.200 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 5.200 * [taylor]: Taking taylor expansion of PI in a 5.200 * [backup-simplify]: Simplify PI into PI 5.200 * [taylor]: Taking taylor expansion of (pow a 4) in a 5.200 * [taylor]: Taking taylor expansion of a in a 5.200 * [backup-simplify]: Simplify 0 into 0 5.200 * [backup-simplify]: Simplify 1 into 1 5.200 * [backup-simplify]: Simplify (* 1 1) into 1 5.200 * [backup-simplify]: Simplify (* 1 1) into 1 5.200 * [backup-simplify]: Simplify (/ PI 1) into PI 5.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.208 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.213 * [backup-simplify]: Simplify (- 0) into 0 5.213 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 0 into 0 5.218 * [backup-simplify]: Simplify (/ (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) into (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) 5.218 * [approximate]: Taking taylor expansion of (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 5.218 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 5.218 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in a 5.219 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 5.219 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in a 5.219 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 5.219 * [taylor]: Taking taylor expansion of 1/2 in a 5.219 * [backup-simplify]: Simplify 1/2 into 1/2 5.219 * [taylor]: Taking taylor expansion of PI in a 5.219 * [backup-simplify]: Simplify PI into PI 5.219 * [taylor]: Taking taylor expansion of (* -1 b) in a 5.219 * [taylor]: Taking taylor expansion of -1 in a 5.219 * [backup-simplify]: Simplify -1 into -1 5.219 * [taylor]: Taking taylor expansion of b in a 5.219 * [backup-simplify]: Simplify b into b 5.219 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 5.219 * [taylor]: Taking taylor expansion of 1/2 in a 5.219 * [backup-simplify]: Simplify 1/2 into 1/2 5.219 * [taylor]: Taking taylor expansion of (* a PI) in a 5.219 * [taylor]: Taking taylor expansion of a in a 5.219 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify 1 into 1 5.219 * [taylor]: Taking taylor expansion of PI in a 5.219 * [backup-simplify]: Simplify PI into PI 5.219 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 5.219 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 5.219 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.219 * [taylor]: Taking taylor expansion of b in a 5.219 * [backup-simplify]: Simplify b into b 5.219 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.219 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.219 * [taylor]: Taking taylor expansion of a in a 5.219 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify 1 into 1 5.220 * [backup-simplify]: Simplify (/ 1 1) into 1 5.220 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 5.220 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.220 * [taylor]: Taking taylor expansion of b in a 5.220 * [backup-simplify]: Simplify b into b 5.220 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.220 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.220 * [taylor]: Taking taylor expansion of a in a 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify 1 into 1 5.221 * [backup-simplify]: Simplify (/ 1 1) into 1 5.221 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.221 * [backup-simplify]: Simplify (* -1 b) into (* -1 b) 5.222 * [backup-simplify]: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* b PI)) 5.222 * [backup-simplify]: Simplify (* 0 PI) into 0 5.223 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.223 * [backup-simplify]: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) 5.223 * [backup-simplify]: Simplify (- 1) into -1 5.224 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.224 * [backup-simplify]: Simplify (+ 0 1) into 1 5.224 * [backup-simplify]: Simplify (* -1 1) into -1 5.225 * [backup-simplify]: Simplify (/ (- (* 1/2 (* b PI))) -1) into (* 1/2 (* PI b)) 5.225 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 5.225 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in b 5.225 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 5.225 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in b 5.225 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.225 * [taylor]: Taking taylor expansion of 1/2 in b 5.225 * [backup-simplify]: Simplify 1/2 into 1/2 5.225 * [taylor]: Taking taylor expansion of PI in b 5.225 * [backup-simplify]: Simplify PI into PI 5.225 * [taylor]: Taking taylor expansion of (* -1 b) in b 5.225 * [taylor]: Taking taylor expansion of -1 in b 5.225 * [backup-simplify]: Simplify -1 into -1 5.225 * [taylor]: Taking taylor expansion of b in b 5.225 * [backup-simplify]: Simplify 0 into 0 5.225 * [backup-simplify]: Simplify 1 into 1 5.225 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 5.225 * [taylor]: Taking taylor expansion of 1/2 in b 5.225 * [backup-simplify]: Simplify 1/2 into 1/2 5.225 * [taylor]: Taking taylor expansion of (* a PI) in b 5.225 * [taylor]: Taking taylor expansion of a in b 5.225 * [backup-simplify]: Simplify a into a 5.225 * [taylor]: Taking taylor expansion of PI in b 5.225 * [backup-simplify]: Simplify PI into PI 5.225 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 5.225 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 5.225 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.225 * [taylor]: Taking taylor expansion of b in b 5.225 * [backup-simplify]: Simplify 0 into 0 5.225 * [backup-simplify]: Simplify 1 into 1 5.226 * [backup-simplify]: Simplify (/ 1 1) into 1 5.226 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.226 * [taylor]: Taking taylor expansion of a in b 5.226 * [backup-simplify]: Simplify a into a 5.226 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.226 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 5.226 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.226 * [taylor]: Taking taylor expansion of b in b 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 1 into 1 5.226 * [backup-simplify]: Simplify (/ 1 1) into 1 5.227 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.227 * [taylor]: Taking taylor expansion of a in b 5.227 * [backup-simplify]: Simplify a into a 5.227 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.228 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.228 * [backup-simplify]: Simplify (* -1 0) into 0 5.229 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 5.229 * [backup-simplify]: Simplify (* a PI) into (* a PI) 5.229 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 5.229 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) 5.229 * [backup-simplify]: Simplify (+ 1 0) into 1 5.230 * [backup-simplify]: Simplify (+ 1 0) into 1 5.230 * [backup-simplify]: Simplify (* 1 1) into 1 5.230 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 5.230 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 5.230 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) (* -1 b) (* 1/2 (* a PI))) in b 5.231 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) (* -1 b)) (* 1/2 (* a PI))) 5.231 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) (* -1 b)) in b 5.231 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.231 * [taylor]: Taking taylor expansion of 1/2 in b 5.231 * [backup-simplify]: Simplify 1/2 into 1/2 5.231 * [taylor]: Taking taylor expansion of PI in b 5.231 * [backup-simplify]: Simplify PI into PI 5.231 * [taylor]: Taking taylor expansion of (* -1 b) in b 5.231 * [taylor]: Taking taylor expansion of -1 in b 5.231 * [backup-simplify]: Simplify -1 into -1 5.231 * [taylor]: Taking taylor expansion of b in b 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 1 into 1 5.231 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 5.231 * [taylor]: Taking taylor expansion of 1/2 in b 5.231 * [backup-simplify]: Simplify 1/2 into 1/2 5.231 * [taylor]: Taking taylor expansion of (* a PI) in b 5.231 * [taylor]: Taking taylor expansion of a in b 5.231 * [backup-simplify]: Simplify a into a 5.231 * [taylor]: Taking taylor expansion of PI in b 5.231 * [backup-simplify]: Simplify PI into PI 5.231 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 5.231 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 5.231 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.231 * [taylor]: Taking taylor expansion of b in b 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 1 into 1 5.232 * [backup-simplify]: Simplify (/ 1 1) into 1 5.232 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.232 * [taylor]: Taking taylor expansion of a in b 5.232 * [backup-simplify]: Simplify a into a 5.232 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.232 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 5.232 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.232 * [taylor]: Taking taylor expansion of b in b 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 1 into 1 5.232 * [backup-simplify]: Simplify (/ 1 1) into 1 5.232 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.232 * [taylor]: Taking taylor expansion of a in b 5.232 * [backup-simplify]: Simplify a into a 5.232 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.233 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.233 * [backup-simplify]: Simplify (* -1 0) into 0 5.234 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 5.234 * [backup-simplify]: Simplify (* a PI) into (* a PI) 5.234 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 5.234 * [backup-simplify]: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) 5.235 * [backup-simplify]: Simplify (+ 1 0) into 1 5.235 * [backup-simplify]: Simplify (+ 1 0) into 1 5.236 * [backup-simplify]: Simplify (* 1 1) into 1 5.236 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 5.236 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 5.236 * [taylor]: Taking taylor expansion of 1/2 in a 5.236 * [backup-simplify]: Simplify 1/2 into 1/2 5.236 * [taylor]: Taking taylor expansion of (* a PI) in a 5.236 * [taylor]: Taking taylor expansion of a in a 5.236 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.236 * [taylor]: Taking taylor expansion of PI in a 5.236 * [backup-simplify]: Simplify PI into PI 5.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.239 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.239 * [backup-simplify]: Simplify (* 0 PI) into 0 5.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 5.240 * [backup-simplify]: Simplify 0 into 0 5.241 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 5.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.245 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) -1) (* 0 0)) into (- (* 1/2 PI)) 5.245 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 5.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* a PI))) into 0 5.248 * [backup-simplify]: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) 5.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.249 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 5.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.249 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 5.250 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 5.250 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (- (/ 1 a)) 1)) into 0 5.252 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)))) into (- (* 1/2 PI)) 5.252 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in a 5.252 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 5.252 * [taylor]: Taking taylor expansion of 1/2 in a 5.252 * [backup-simplify]: Simplify 1/2 into 1/2 5.252 * [taylor]: Taking taylor expansion of PI in a 5.252 * [backup-simplify]: Simplify PI into PI 5.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.254 * [backup-simplify]: Simplify (- 0) into 0 5.254 * [backup-simplify]: Simplify 0 into 0 5.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.256 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 5.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.260 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 -1) (* 0 0))) into 0 5.260 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 PI))) into 0 5.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* a PI)))) into 0 5.262 * [backup-simplify]: Simplify (+ 0 0) into 0 5.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 5.263 * [backup-simplify]: Simplify (+ 0 0) into 0 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 5.264 * [backup-simplify]: Simplify (- 0) into 0 5.270 * [backup-simplify]: Simplify (+ 0 0) into 0 5.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 1))) into (- (/ 1 (pow a 2))) 5.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1/2 PI)) (/ 0 1)))) into (* 1/2 (/ PI a)) 5.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 5.274 * [taylor]: Taking taylor expansion of 1/2 in a 5.274 * [backup-simplify]: Simplify 1/2 into 1/2 5.274 * [taylor]: Taking taylor expansion of (/ PI a) in a 5.274 * [taylor]: Taking taylor expansion of PI in a 5.274 * [backup-simplify]: Simplify PI into PI 5.274 * [taylor]: Taking taylor expansion of a in a 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 1 into 1 5.274 * [backup-simplify]: Simplify (/ PI 1) into PI 5.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.279 * [backup-simplify]: Simplify 0 into 0 5.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.280 * [backup-simplify]: Simplify (- 0) into 0 5.280 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 5.283 * [backup-simplify]: Simplify 0 into 0 5.283 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify (/ (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) 5.285 * [approximate]: Taking taylor expansion of (* -1 (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in (b a) around 0 5.285 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in a 5.285 * [taylor]: Taking taylor expansion of -1 in a 5.285 * [backup-simplify]: Simplify -1 into -1 5.285 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in a 5.285 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in a 5.285 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 5.285 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in a 5.285 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 5.285 * [taylor]: Taking taylor expansion of 1/2 in a 5.285 * [backup-simplify]: Simplify 1/2 into 1/2 5.285 * [taylor]: Taking taylor expansion of PI in a 5.285 * [backup-simplify]: Simplify PI into PI 5.285 * [taylor]: Taking taylor expansion of b in a 5.285 * [backup-simplify]: Simplify b into b 5.285 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 5.285 * [taylor]: Taking taylor expansion of -1/2 in a 5.285 * [backup-simplify]: Simplify -1/2 into -1/2 5.285 * [taylor]: Taking taylor expansion of (* a PI) in a 5.285 * [taylor]: Taking taylor expansion of a in a 5.285 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [taylor]: Taking taylor expansion of PI in a 5.286 * [backup-simplify]: Simplify PI into PI 5.286 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 5.286 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.286 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.286 * [taylor]: Taking taylor expansion of a in a 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify (/ 1 1) into 1 5.286 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.286 * [taylor]: Taking taylor expansion of b in a 5.286 * [backup-simplify]: Simplify b into b 5.286 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.286 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 5.286 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.286 * [taylor]: Taking taylor expansion of b in a 5.286 * [backup-simplify]: Simplify b into b 5.286 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.286 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.287 * [taylor]: Taking taylor expansion of a in a 5.287 * [backup-simplify]: Simplify 0 into 0 5.287 * [backup-simplify]: Simplify 1 into 1 5.287 * [backup-simplify]: Simplify (/ 1 1) into 1 5.288 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.288 * [backup-simplify]: Simplify (* (* 1/2 PI) b) into (* 1/2 (* b PI)) 5.289 * [backup-simplify]: Simplify (* 0 PI) into 0 5.289 * [backup-simplify]: Simplify (* -1/2 0) into 0 5.290 * [backup-simplify]: Simplify (+ (* 1/2 (* b PI)) 0) into (* 1/2 (* b PI)) 5.290 * [backup-simplify]: Simplify (+ 1 0) into 1 5.290 * [backup-simplify]: Simplify (+ 0 1) into 1 5.291 * [backup-simplify]: Simplify (* 1 1) into 1 5.291 * [backup-simplify]: Simplify (/ (* 1/2 (* b PI)) 1) into (* 1/2 (* PI b)) 5.291 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in b 5.291 * [taylor]: Taking taylor expansion of -1 in b 5.291 * [backup-simplify]: Simplify -1 into -1 5.291 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in b 5.291 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in b 5.291 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 5.291 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in b 5.291 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.291 * [taylor]: Taking taylor expansion of 1/2 in b 5.291 * [backup-simplify]: Simplify 1/2 into 1/2 5.291 * [taylor]: Taking taylor expansion of PI in b 5.291 * [backup-simplify]: Simplify PI into PI 5.291 * [taylor]: Taking taylor expansion of b in b 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in b 5.291 * [taylor]: Taking taylor expansion of -1/2 in b 5.292 * [backup-simplify]: Simplify -1/2 into -1/2 5.292 * [taylor]: Taking taylor expansion of (* a PI) in b 5.292 * [taylor]: Taking taylor expansion of a in b 5.292 * [backup-simplify]: Simplify a into a 5.292 * [taylor]: Taking taylor expansion of PI in b 5.292 * [backup-simplify]: Simplify PI into PI 5.292 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in b 5.292 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 5.292 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.292 * [taylor]: Taking taylor expansion of a in b 5.292 * [backup-simplify]: Simplify a into a 5.292 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.292 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.292 * [taylor]: Taking taylor expansion of b in b 5.292 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify 1 into 1 5.292 * [backup-simplify]: Simplify (/ 1 1) into 1 5.293 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 5.293 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.293 * [taylor]: Taking taylor expansion of b in b 5.293 * [backup-simplify]: Simplify 0 into 0 5.293 * [backup-simplify]: Simplify 1 into 1 5.293 * [backup-simplify]: Simplify (/ 1 1) into 1 5.293 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.293 * [taylor]: Taking taylor expansion of a in b 5.293 * [backup-simplify]: Simplify a into a 5.293 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.294 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.295 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 5.295 * [backup-simplify]: Simplify (* a PI) into (* a PI) 5.295 * [backup-simplify]: Simplify (* -1/2 (* a PI)) into (* -1/2 (* a PI)) 5.295 * [backup-simplify]: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) 5.295 * [backup-simplify]: Simplify (- 1) into -1 5.296 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.296 * [backup-simplify]: Simplify (+ 1 0) into 1 5.297 * [backup-simplify]: Simplify (* -1 1) into -1 5.297 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) 5.297 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in b 5.297 * [taylor]: Taking taylor expansion of -1 in b 5.297 * [backup-simplify]: Simplify -1 into -1 5.297 * [taylor]: Taking taylor expansion of (/ (fma (* 1/2 PI) b (* -1/2 (* a PI))) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in b 5.297 * [taylor]: Taking taylor expansion of (fma (* 1/2 PI) b (* -1/2 (* a PI))) in b 5.297 * [taylor]: Rewrote expression to (+ (* (* 1/2 PI) b) (* -1/2 (* a PI))) 5.297 * [taylor]: Taking taylor expansion of (* (* 1/2 PI) b) in b 5.297 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 5.297 * [taylor]: Taking taylor expansion of 1/2 in b 5.297 * [backup-simplify]: Simplify 1/2 into 1/2 5.297 * [taylor]: Taking taylor expansion of PI in b 5.297 * [backup-simplify]: Simplify PI into PI 5.297 * [taylor]: Taking taylor expansion of b in b 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 1 into 1 5.297 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in b 5.297 * [taylor]: Taking taylor expansion of -1/2 in b 5.298 * [backup-simplify]: Simplify -1/2 into -1/2 5.298 * [taylor]: Taking taylor expansion of (* a PI) in b 5.298 * [taylor]: Taking taylor expansion of a in b 5.298 * [backup-simplify]: Simplify a into a 5.298 * [taylor]: Taking taylor expansion of PI in b 5.298 * [backup-simplify]: Simplify PI into PI 5.298 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in b 5.298 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 5.298 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.298 * [taylor]: Taking taylor expansion of a in b 5.298 * [backup-simplify]: Simplify a into a 5.298 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.298 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.298 * [taylor]: Taking taylor expansion of b in b 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (/ 1 1) into 1 5.299 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 5.299 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.299 * [taylor]: Taking taylor expansion of b in b 5.299 * [backup-simplify]: Simplify 0 into 0 5.299 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (/ 1 1) into 1 5.299 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.299 * [taylor]: Taking taylor expansion of a in b 5.300 * [backup-simplify]: Simplify a into a 5.300 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.300 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 5.301 * [backup-simplify]: Simplify (* (* 1/2 PI) 0) into 0 5.301 * [backup-simplify]: Simplify (* a PI) into (* a PI) 5.301 * [backup-simplify]: Simplify (* -1/2 (* a PI)) into (* -1/2 (* a PI)) 5.301 * [backup-simplify]: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) 5.302 * [backup-simplify]: Simplify (- 1) into -1 5.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.303 * [backup-simplify]: Simplify (+ 1 0) into 1 5.303 * [backup-simplify]: Simplify (* -1 1) into -1 5.303 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) 5.303 * [backup-simplify]: Simplify (* -1 (* 1/2 (* a PI))) into (* -1/2 (* a PI)) 5.303 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 5.303 * [taylor]: Taking taylor expansion of -1/2 in a 5.303 * [backup-simplify]: Simplify -1/2 into -1/2 5.304 * [taylor]: Taking taylor expansion of (* a PI) in a 5.304 * [taylor]: Taking taylor expansion of a in a 5.304 * [backup-simplify]: Simplify 0 into 0 5.304 * [backup-simplify]: Simplify 1 into 1 5.304 * [taylor]: Taking taylor expansion of PI in a 5.304 * [backup-simplify]: Simplify PI into PI 5.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.306 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.307 * [backup-simplify]: Simplify (* 0 PI) into 0 5.308 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 5.308 * [backup-simplify]: Simplify 0 into 0 5.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 5.311 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 1) (* 0 0)) into (* 1/2 PI) 5.312 * [backup-simplify]: Simplify (+ (* a 0) (* 0 PI)) into 0 5.312 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (* a PI))) into 0 5.314 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 5.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.314 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 5.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.316 * [backup-simplify]: Simplify (- 0) into 0 5.316 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 5.316 * [backup-simplify]: Simplify (+ (* -1 (/ 1 a)) (* (/ 1 a) 1)) into 0 5.318 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* a PI)) (/ 0 -1)))) into (- (* 1/2 PI)) 5.320 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 PI))) (* 0 (* 1/2 (* a PI)))) into (* 1/2 PI) 5.320 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 5.320 * [taylor]: Taking taylor expansion of 1/2 in a 5.320 * [backup-simplify]: Simplify 1/2 into 1/2 5.320 * [taylor]: Taking taylor expansion of PI in a 5.320 * [backup-simplify]: Simplify PI into PI 5.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.321 * [backup-simplify]: Simplify 0 into 0 5.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.324 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.324 * [backup-simplify]: Simplify 0 into 0 5.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 5.326 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 1) (* 0 0))) into 0 5.327 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 PI))) into 0 5.328 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (* a PI)))) into 0 5.328 * [backup-simplify]: Simplify (+ 0 0) into 0 5.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 5.330 * [backup-simplify]: Simplify (+ 0 0) into 0 5.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 5.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.331 * [backup-simplify]: Simplify (- 0) into 0 5.332 * [backup-simplify]: Simplify (+ 0 0) into 0 5.333 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 1))) into (/ 1 (pow a 2)) 5.334 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* a PI)) (/ (/ 1 (pow a 2)) -1)) (* (- (* 1/2 PI)) (/ 0 -1)))) into (* 1/2 (/ PI a)) 5.335 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ PI a))) (+ (* 0 (- (* 1/2 PI))) (* 0 (* 1/2 (* a PI))))) into (- (* 1/2 (/ PI a))) 5.335 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a 5.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 5.335 * [taylor]: Taking taylor expansion of 1/2 in a 5.335 * [backup-simplify]: Simplify 1/2 into 1/2 5.335 * [taylor]: Taking taylor expansion of (/ PI a) in a 5.335 * [taylor]: Taking taylor expansion of PI in a 5.335 * [backup-simplify]: Simplify PI into PI 5.335 * [taylor]: Taking taylor expansion of a in a 5.335 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.336 * [backup-simplify]: Simplify (/ PI 1) into PI 5.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.341 * [backup-simplify]: Simplify (- 0) into 0 5.341 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.342 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.345 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * * * [progress]: simplifying candidates 5.345 * * * * [progress]: [ 1 / 265 ] simplifiying candidate # 5.345 * * * * [progress]: [ 2 / 265 ] simplifiying candidate # 5.345 * * * * [progress]: [ 3 / 265 ] simplifiying candidate # 5.345 * * * * [progress]: [ 4 / 265 ] simplifiying candidate # 5.345 * * * * [progress]: [ 5 / 265 ] simplifiying candidate # 5.345 * * * * [progress]: [ 6 / 265 ] simplifiying candidate # 5.345 * * * * [progress]: [ 7 / 265 ] simplifiying candidate # 5.345 * * * * [progress]: [ 8 / 265 ] simplifiying candidate # 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Simplifying: (expm1 (/ (/ PI 2) a)) (log1p (/ (/ PI 2) a)) (- (- (log PI) (log 2)) (log a)) (- (log (/ PI 2)) (log a)) (log (/ (/ PI 2) a)) (exp (/ (/ PI 2) a)) (/ (/ (* (* PI PI) PI) (* (* 2 2) 2)) (* (* a a) a)) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* a a) a)) (* (cbrt (/ (/ PI 2) a)) (cbrt (/ (/ PI 2) a))) (cbrt (/ (/ PI 2) a)) (* (* (/ (/ PI 2) a) (/ (/ PI 2) a)) (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) a)) (- (/ PI 2)) (- a) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt a) (cbrt a))) (/ (cbrt (/ PI 2)) (cbrt a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt a)) (/ (cbrt (/ PI 2)) (sqrt a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (/ (cbrt (/ PI 2)) a) (/ (sqrt (/ PI 2)) (* (cbrt a) (cbrt a))) (/ (sqrt (/ PI 2)) (cbrt a)) (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (/ PI 2)) 1) (/ (sqrt (/ PI 2)) a) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (* (cbrt a) (cbrt a))) (/ (/ (cbrt PI) (cbrt 2)) (cbrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ (cbrt PI) (cbrt 2)) (sqrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt PI) (cbrt 2)) a) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (cbrt PI) (sqrt 2)) (cbrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (sqrt a)) (/ (/ (cbrt PI) (sqrt 2)) (sqrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) 1) (/ (/ (cbrt PI) (sqrt 2)) a) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (* (cbrt a) (cbrt a))) (/ (/ (cbrt PI) 2) (cbrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (sqrt a)) (/ (/ (cbrt PI) 2) (sqrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1) (/ (/ (cbrt PI) 2) a) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (* (cbrt a) (cbrt a))) (/ (/ (sqrt PI) (cbrt 2)) (cbrt a)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ (sqrt PI) (cbrt 2)) (sqrt a)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (sqrt PI) (cbrt 2)) a) (/ (/ (sqrt PI) (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (sqrt PI) (sqrt 2)) (cbrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) 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(/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)))) (/ (* (- b a) (cbrt (+ b a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (* (/ (- b a) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (+ b a))) (/ (- (* b b) (* a a)) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (/ (- (* b b) (* a a)) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (/ (- b a) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ b a)))) (* (/ (- b a) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (+ b a))) (* (/ (- b a) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ b a)) (* (/ (- b a) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ b a)) (* (/ (- b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (+ b a))) (/ (* (- b a) (sqrt (+ b a))) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (+ b a) (/ (- b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (* (+ b a) (/ (- b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (* (+ b a) (/ (- b a) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (* b b) (* a a)) (/ (- b a) (fma b b (* a (- a b)))) 1 (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) (- (* (* b b) b) (* a (* a a)))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (* (- b a) (+ b a)))) (- (* b b) (* a a)) (real->posit16 (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (* b b) (* a a)))) (/ (* 1/2 PI) a) (/ (* 1/2 PI) a) (/ (* 1/2 PI) a) (* (/ -1/2 b) (/ PI a)) (/ 1/2 (/ (* a b) PI)) (/ 1/2 (/ (* a b) PI)) (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2) 0 0 0 7.562 * * * [progress]: adding candidates to table 8.868 * * [progress]: iteration 3 / 4 8.869 * * * [progress]: picking best candidate 8.910 * * * * [pick]: Picked # 8.910 * * * [progress]: localizing error 8.932 * * * [progress]: generating rewritten candidates 8.932 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 8.936 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.967 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 8.975 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 9.131 * * * [progress]: generating series expansions 9.131 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 9.131 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 9.131 * [approximate]: Taking taylor expansion of (/ PI a) in (a) around 0 9.131 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.131 * [taylor]: Taking taylor expansion of PI in a 9.131 * [backup-simplify]: Simplify PI into PI 9.131 * [taylor]: Taking taylor expansion of a in a 9.131 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify 1 into 1 9.132 * [backup-simplify]: Simplify (/ PI 1) into PI 9.132 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.132 * [taylor]: Taking taylor expansion of PI in a 9.132 * [backup-simplify]: Simplify PI into PI 9.132 * [taylor]: Taking taylor expansion of a in a 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.133 * [backup-simplify]: Simplify (/ PI 1) into PI 9.133 * [backup-simplify]: Simplify PI into PI 9.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.134 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.135 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.136 * [backup-simplify]: Simplify 0 into 0 9.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.137 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.138 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.140 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 9.140 * [backup-simplify]: Simplify (/ PI (/ 1 a)) into (* a PI) 9.140 * [approximate]: Taking taylor expansion of (* a PI) in (a) around 0 9.140 * [taylor]: Taking taylor expansion of (* a PI) in a 9.140 * [taylor]: Taking taylor expansion of a in a 9.140 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify 1 into 1 9.140 * [taylor]: Taking taylor expansion of PI in a 9.140 * [backup-simplify]: Simplify PI into PI 9.140 * [taylor]: Taking taylor expansion of (* a PI) in a 9.140 * [taylor]: Taking taylor expansion of a in a 9.140 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify 1 into 1 9.140 * [taylor]: Taking taylor expansion of PI in a 9.140 * [backup-simplify]: Simplify PI into PI 9.141 * [backup-simplify]: Simplify (* 0 PI) into 0 9.141 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.142 * [backup-simplify]: Simplify PI into PI 9.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.144 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.145 * [backup-simplify]: Simplify 0 into 0 9.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.150 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 9.152 * [backup-simplify]: Simplify (/ PI (/ 1 (- a))) into (* -1 (* a PI)) 9.152 * [approximate]: Taking taylor expansion of (* -1 (* a PI)) in (a) around 0 9.152 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 9.152 * [taylor]: Taking taylor expansion of -1 in a 9.152 * [backup-simplify]: Simplify -1 into -1 9.152 * [taylor]: Taking taylor expansion of (* a PI) in a 9.153 * [taylor]: Taking taylor expansion of a in a 9.153 * [backup-simplify]: Simplify 0 into 0 9.153 * [backup-simplify]: Simplify 1 into 1 9.153 * [taylor]: Taking taylor expansion of PI in a 9.153 * [backup-simplify]: Simplify PI into PI 9.153 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 9.153 * [taylor]: Taking taylor expansion of -1 in a 9.153 * [backup-simplify]: Simplify -1 into -1 9.153 * [taylor]: Taking taylor expansion of (* a PI) in a 9.153 * [taylor]: Taking taylor expansion of a in a 9.153 * [backup-simplify]: Simplify 0 into 0 9.153 * [backup-simplify]: Simplify 1 into 1 9.153 * [taylor]: Taking taylor expansion of PI in a 9.153 * [backup-simplify]: Simplify PI into PI 9.153 * [backup-simplify]: Simplify (* 0 PI) into 0 9.154 * [backup-simplify]: Simplify (* -1 0) into 0 9.154 * [backup-simplify]: Simplify 0 into 0 9.155 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.157 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 9.157 * [backup-simplify]: Simplify (- PI) into (- PI) 9.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.160 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 9.160 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.162 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.162 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.165 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.168 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 9.168 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.172 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 9.172 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 9.176 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 9.176 * [backup-simplify]: Simplify 0 into 0 9.177 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- a))) into (/ PI a) 9.177 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 9.177 * [backup-simplify]: Simplify (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) into (* 1/2 (/ (- (/ PI a) (/ PI b)) (+ a b))) 9.177 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (+ a b))) in (a b) around 0 9.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (+ a b))) in b 9.177 * [taylor]: Taking taylor expansion of 1/2 in b 9.177 * [backup-simplify]: Simplify 1/2 into 1/2 9.177 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in b 9.177 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 9.177 * [taylor]: Taking taylor expansion of (/ PI a) in b 9.177 * [taylor]: Taking taylor expansion of PI in b 9.177 * [backup-simplify]: Simplify PI into PI 9.177 * [taylor]: Taking taylor expansion of a in b 9.177 * [backup-simplify]: Simplify a into a 9.178 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 9.178 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.178 * [taylor]: Taking taylor expansion of PI in b 9.178 * [backup-simplify]: Simplify PI into PI 9.178 * [taylor]: Taking taylor expansion of b in b 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [backup-simplify]: Simplify (/ PI 1) into PI 9.178 * [taylor]: Taking taylor expansion of (+ a b) in b 9.178 * [taylor]: Taking taylor expansion of a in b 9.178 * [backup-simplify]: Simplify a into a 9.178 * [taylor]: Taking taylor expansion of b in b 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.179 * [backup-simplify]: Simplify (- PI) into (- PI) 9.180 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.180 * [backup-simplify]: Simplify (+ a 0) into a 9.180 * [backup-simplify]: Simplify (/ (- PI) a) into (* -1 (/ PI a)) 9.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (+ a b))) in a 9.180 * [taylor]: Taking taylor expansion of 1/2 in a 9.180 * [backup-simplify]: Simplify 1/2 into 1/2 9.180 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in a 9.180 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 9.180 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.180 * [taylor]: Taking taylor expansion of PI in a 9.180 * [backup-simplify]: Simplify PI into PI 9.181 * [taylor]: Taking taylor expansion of a in a 9.181 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify 1 into 1 9.181 * [backup-simplify]: Simplify (/ PI 1) into PI 9.181 * [taylor]: Taking taylor expansion of (/ PI b) in a 9.181 * [taylor]: Taking taylor expansion of PI in a 9.181 * [backup-simplify]: Simplify PI into PI 9.181 * [taylor]: Taking taylor expansion of b in a 9.181 * [backup-simplify]: Simplify b into b 9.181 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.181 * [taylor]: Taking taylor expansion of (+ a b) in a 9.181 * [taylor]: Taking taylor expansion of a in a 9.181 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify 1 into 1 9.181 * [taylor]: Taking taylor expansion of b in a 9.181 * [backup-simplify]: Simplify b into b 9.182 * [backup-simplify]: Simplify (+ PI 0) into PI 9.182 * [backup-simplify]: Simplify (+ 0 b) into b 9.182 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (+ a b))) in a 9.182 * [taylor]: Taking taylor expansion of 1/2 in a 9.182 * [backup-simplify]: Simplify 1/2 into 1/2 9.182 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in a 9.182 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 9.182 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.182 * [taylor]: Taking taylor expansion of PI in a 9.182 * [backup-simplify]: Simplify PI into PI 9.182 * [taylor]: Taking taylor expansion of a in a 9.182 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify 1 into 1 9.183 * [backup-simplify]: Simplify (/ PI 1) into PI 9.183 * [taylor]: Taking taylor expansion of (/ PI b) in a 9.183 * [taylor]: Taking taylor expansion of PI in a 9.183 * [backup-simplify]: Simplify PI into PI 9.183 * [taylor]: Taking taylor expansion of b in a 9.183 * [backup-simplify]: Simplify b into b 9.183 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.183 * [taylor]: Taking taylor expansion of (+ a b) in a 9.183 * [taylor]: Taking taylor expansion of a in a 9.183 * [backup-simplify]: Simplify 0 into 0 9.183 * [backup-simplify]: Simplify 1 into 1 9.183 * [taylor]: Taking taylor expansion of b in a 9.183 * [backup-simplify]: Simplify b into b 9.184 * [backup-simplify]: Simplify (+ PI 0) into PI 9.184 * [backup-simplify]: Simplify (+ 0 b) into b 9.184 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.184 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 9.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.184 * [taylor]: Taking taylor expansion of 1/2 in b 9.184 * [backup-simplify]: Simplify 1/2 into 1/2 9.184 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.184 * [taylor]: Taking taylor expansion of PI in b 9.184 * [backup-simplify]: Simplify PI into PI 9.184 * [taylor]: Taking taylor expansion of b in b 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 1 into 1 9.185 * [backup-simplify]: Simplify (/ PI 1) into PI 9.185 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 9.186 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 9.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.187 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 9.187 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 9.187 * [backup-simplify]: Simplify (+ 1 0) into 1 9.187 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ 1 b)))) into (- (* 2 (/ PI (pow b 2)))) 9.188 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ PI (pow b 2))))) (* 0 (/ PI b))) into (- (/ PI (pow b 2))) 9.188 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 9.188 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.188 * [taylor]: Taking taylor expansion of PI in b 9.188 * [backup-simplify]: Simplify PI into PI 9.188 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.188 * [taylor]: Taking taylor expansion of b in b 9.188 * [backup-simplify]: Simplify 0 into 0 9.188 * [backup-simplify]: Simplify 1 into 1 9.188 * [backup-simplify]: Simplify (* 1 1) into 1 9.189 * [backup-simplify]: Simplify (/ PI 1) into PI 9.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.191 * [backup-simplify]: Simplify (- 0) into 0 9.191 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 9.192 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.194 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 9.194 * [backup-simplify]: Simplify (- 0) into 0 9.194 * [backup-simplify]: Simplify (+ 0 0) into 0 9.195 * [backup-simplify]: Simplify (+ 0 0) into 0 9.195 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2 (/ PI (pow b 3))) 9.195 * [backup-simplify]: Simplify (+ (* 1/2 (* 2 (/ PI (pow b 3)))) (+ (* 0 (- (* 2 (/ PI (pow b 2))))) (* 0 (/ PI b)))) into (/ PI (pow b 3)) 9.196 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 9.196 * [taylor]: Taking taylor expansion of PI in b 9.196 * [backup-simplify]: Simplify PI into PI 9.196 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.196 * [taylor]: Taking taylor expansion of b in b 9.196 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify 1 into 1 9.196 * [backup-simplify]: Simplify (* 1 1) into 1 9.196 * [backup-simplify]: Simplify (* 1 1) into 1 9.197 * [backup-simplify]: Simplify (/ PI 1) into PI 9.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.202 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.205 * [backup-simplify]: Simplify (- 0) into 0 9.205 * [backup-simplify]: Simplify 0 into 0 9.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.207 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.208 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.209 * [backup-simplify]: Simplify (- 0) into 0 9.209 * [backup-simplify]: Simplify (+ 0 0) into 0 9.209 * [backup-simplify]: Simplify (+ 0 0) into 0 9.210 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 0 b)) (* (* 2 (/ PI (pow b 3))) (/ 1 b)))) into (- (* 2 (/ PI (pow b 4)))) 9.211 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ PI (pow b 4))))) (+ (* 0 (* 2 (/ PI (pow b 3)))) (+ (* 0 (- (* 2 (/ PI (pow b 2))))) (* 0 (/ PI b))))) into (- (/ PI (pow b 4))) 9.211 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 4))) in b 9.211 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 9.211 * [taylor]: Taking taylor expansion of PI in b 9.211 * [backup-simplify]: Simplify PI into PI 9.211 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.211 * [taylor]: Taking taylor expansion of b in b 9.211 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify 1 into 1 9.212 * [backup-simplify]: Simplify (* 1 1) into 1 9.212 * [backup-simplify]: Simplify (* 1 1) into 1 9.212 * [backup-simplify]: Simplify (/ PI 1) into PI 9.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.221 * [backup-simplify]: Simplify (- 0) into 0 9.221 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 9.222 * [backup-simplify]: Simplify (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 b) (/ 1 a))) into (* 1/2 (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a)))) 9.222 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 9.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a)))) in b 9.222 * [taylor]: Taking taylor expansion of 1/2 in b 9.222 * [backup-simplify]: Simplify 1/2 into 1/2 9.222 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a))) in b 9.222 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 9.222 * [taylor]: Taking taylor expansion of (* a PI) in b 9.222 * [taylor]: Taking taylor expansion of a in b 9.222 * [backup-simplify]: Simplify a into a 9.222 * [taylor]: Taking taylor expansion of PI in b 9.222 * [backup-simplify]: Simplify PI into PI 9.222 * [taylor]: Taking taylor expansion of (* PI b) in b 9.222 * [taylor]: Taking taylor expansion of PI in b 9.222 * [backup-simplify]: Simplify PI into PI 9.222 * [taylor]: Taking taylor expansion of b in b 9.222 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify 1 into 1 9.223 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.223 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.223 * [taylor]: Taking taylor expansion of b in b 9.223 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify 1 into 1 9.223 * [backup-simplify]: Simplify (/ 1 1) into 1 9.223 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.223 * [taylor]: Taking taylor expansion of a in b 9.223 * [backup-simplify]: Simplify a into a 9.223 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.223 * [backup-simplify]: Simplify (* a PI) into (* a PI) 9.224 * [backup-simplify]: Simplify (* PI 0) into 0 9.224 * [backup-simplify]: Simplify (- 0) into 0 9.224 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 9.225 * [backup-simplify]: Simplify (+ 1 0) into 1 9.225 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a)))) in a 9.225 * [taylor]: Taking taylor expansion of 1/2 in a 9.225 * [backup-simplify]: Simplify 1/2 into 1/2 9.225 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a))) in a 9.225 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 9.225 * [taylor]: Taking taylor expansion of (* a PI) in a 9.225 * [taylor]: Taking taylor expansion of a in a 9.225 * [backup-simplify]: Simplify 0 into 0 9.225 * [backup-simplify]: Simplify 1 into 1 9.225 * [taylor]: Taking taylor expansion of PI in a 9.225 * [backup-simplify]: Simplify PI into PI 9.225 * [taylor]: Taking taylor expansion of (* PI b) in a 9.225 * [taylor]: Taking taylor expansion of PI in a 9.225 * [backup-simplify]: Simplify PI into PI 9.225 * [taylor]: Taking taylor expansion of b in a 9.225 * [backup-simplify]: Simplify b into b 9.225 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.225 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.225 * [taylor]: Taking taylor expansion of b in a 9.225 * [backup-simplify]: Simplify b into b 9.225 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.225 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.225 * [taylor]: Taking taylor expansion of a in a 9.225 * [backup-simplify]: Simplify 0 into 0 9.225 * [backup-simplify]: Simplify 1 into 1 9.226 * [backup-simplify]: Simplify (/ 1 1) into 1 9.226 * [backup-simplify]: Simplify (* 0 PI) into 0 9.226 * [backup-simplify]: Simplify (* PI b) into (* b PI) 9.226 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 9.227 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 9.227 * [backup-simplify]: Simplify (+ 0 1) into 1 9.227 * [backup-simplify]: Simplify (/ (- (* PI b)) 1) into (* -1 (* b PI)) 9.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a)))) in a 9.227 * [taylor]: Taking taylor expansion of 1/2 in a 9.227 * [backup-simplify]: Simplify 1/2 into 1/2 9.227 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a))) in a 9.227 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 9.227 * [taylor]: Taking taylor expansion of (* a PI) in a 9.227 * [taylor]: Taking taylor expansion of a in a 9.227 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify 1 into 1 9.227 * [taylor]: Taking taylor expansion of PI in a 9.227 * [backup-simplify]: Simplify PI into PI 9.227 * [taylor]: Taking taylor expansion of (* PI b) in a 9.227 * [taylor]: Taking taylor expansion of PI in a 9.227 * [backup-simplify]: Simplify PI into PI 9.227 * [taylor]: Taking taylor expansion of b in a 9.227 * [backup-simplify]: Simplify b into b 9.227 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.227 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.228 * [taylor]: Taking taylor expansion of b in a 9.228 * [backup-simplify]: Simplify b into b 9.228 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.228 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.228 * [taylor]: Taking taylor expansion of a in a 9.228 * [backup-simplify]: Simplify 0 into 0 9.228 * [backup-simplify]: Simplify 1 into 1 9.228 * [backup-simplify]: Simplify (/ 1 1) into 1 9.229 * [backup-simplify]: Simplify (* 0 PI) into 0 9.229 * [backup-simplify]: Simplify (* PI b) into (* b PI) 9.229 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 9.229 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 9.229 * [backup-simplify]: Simplify (+ 0 1) into 1 9.229 * [backup-simplify]: Simplify (/ (- (* PI b)) 1) into (* -1 (* b PI)) 9.229 * [backup-simplify]: Simplify (* 1/2 (* -1 (* b PI))) into (* -1/2 (* PI b)) 9.230 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 9.230 * [taylor]: Taking taylor expansion of -1/2 in b 9.230 * [backup-simplify]: Simplify -1/2 into -1/2 9.230 * [taylor]: Taking taylor expansion of (* PI b) in b 9.230 * [taylor]: Taking taylor expansion of PI in b 9.230 * [backup-simplify]: Simplify PI into PI 9.230 * [taylor]: Taking taylor expansion of b in b 9.230 * [backup-simplify]: Simplify 0 into 0 9.230 * [backup-simplify]: Simplify 1 into 1 9.232 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.232 * [backup-simplify]: Simplify (* PI 0) into 0 9.234 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 9.235 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 9.236 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.237 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 9.237 * [backup-simplify]: Simplify (- 0) into 0 9.238 * [backup-simplify]: Simplify (+ PI 0) into PI 9.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.239 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 9.239 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* b PI)) (/ (/ 1 b) 1)))) into (* 2 PI) 9.240 * [backup-simplify]: Simplify (+ (* 1/2 (* 2 PI)) (* 0 (* -1 (* b PI)))) into PI 9.240 * [taylor]: Taking taylor expansion of PI in b 9.240 * [backup-simplify]: Simplify PI into PI 9.240 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 9.243 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 9.243 * [backup-simplify]: Simplify 0 into 0 9.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.245 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 9.245 * [backup-simplify]: Simplify (- 0) into 0 9.245 * [backup-simplify]: Simplify (+ 0 0) into 0 9.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.247 * [backup-simplify]: Simplify (+ 0 0) into 0 9.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI b))) 9.249 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ PI b)))) (+ (* 0 (* 2 PI)) (* 0 (* -1 (* b PI))))) into (- (/ PI b)) 9.249 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 9.249 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.249 * [taylor]: Taking taylor expansion of PI in b 9.249 * [backup-simplify]: Simplify PI into PI 9.249 * [taylor]: Taking taylor expansion of b in b 9.249 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify 1 into 1 9.250 * [backup-simplify]: Simplify (/ PI 1) into PI 9.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.252 * [backup-simplify]: Simplify (- 0) into 0 9.252 * [backup-simplify]: Simplify 0 into 0 9.252 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.255 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.255 * [backup-simplify]: Simplify 0 into 0 9.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.257 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.258 * [backup-simplify]: Simplify (- 0) into 0 9.258 * [backup-simplify]: Simplify (+ 0 0) into 0 9.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.259 * [backup-simplify]: Simplify (+ 0 0) into 0 9.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ 0 1)) (* (- (* 2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 2 (/ PI (pow b 2))) 9.272 * [backup-simplify]: Simplify (+ (* 1/2 (* 2 (/ PI (pow b 2)))) (+ (* 0 (- (* 2 (/ PI b)))) (+ (* 0 (* 2 PI)) (* 0 (* -1 (* b PI)))))) into (/ PI (pow b 2)) 9.272 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.272 * [taylor]: Taking taylor expansion of PI in b 9.272 * [backup-simplify]: Simplify PI into PI 9.272 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.272 * [taylor]: Taking taylor expansion of b in b 9.272 * [backup-simplify]: Simplify 0 into 0 9.272 * [backup-simplify]: Simplify 1 into 1 9.273 * [backup-simplify]: Simplify (* 1 1) into 1 9.273 * [backup-simplify]: Simplify (/ PI 1) into PI 9.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.277 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* a b))) 9.278 * [backup-simplify]: Simplify (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a)))) 9.278 * [approximate]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 9.278 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a)))) in b 9.278 * [taylor]: Taking taylor expansion of -1/2 in b 9.278 * [backup-simplify]: Simplify -1/2 into -1/2 9.278 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a))) in b 9.278 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 9.279 * [taylor]: Taking taylor expansion of (* b PI) in b 9.279 * [taylor]: Taking taylor expansion of b in b 9.279 * [backup-simplify]: Simplify 0 into 0 9.279 * [backup-simplify]: Simplify 1 into 1 9.279 * [taylor]: Taking taylor expansion of PI in b 9.279 * [backup-simplify]: Simplify PI into PI 9.279 * [taylor]: Taking taylor expansion of (* a PI) in b 9.279 * [taylor]: Taking taylor expansion of a in b 9.279 * [backup-simplify]: Simplify a into a 9.279 * [taylor]: Taking taylor expansion of PI in b 9.279 * [backup-simplify]: Simplify PI into PI 9.279 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.279 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.279 * [taylor]: Taking taylor expansion of b in b 9.279 * [backup-simplify]: Simplify 0 into 0 9.279 * [backup-simplify]: Simplify 1 into 1 9.279 * [backup-simplify]: Simplify (/ 1 1) into 1 9.279 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.279 * [taylor]: Taking taylor expansion of a in b 9.279 * [backup-simplify]: Simplify a into a 9.279 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.279 * [backup-simplify]: Simplify (* 0 PI) into 0 9.279 * [backup-simplify]: Simplify (* a PI) into (* a PI) 9.279 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 9.280 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 9.280 * [backup-simplify]: Simplify (+ 1 0) into 1 9.280 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 9.280 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a)))) in a 9.280 * [taylor]: Taking taylor expansion of -1/2 in a 9.280 * [backup-simplify]: Simplify -1/2 into -1/2 9.280 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a))) in a 9.280 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 9.280 * [taylor]: Taking taylor expansion of (* b PI) in a 9.280 * [taylor]: Taking taylor expansion of b in a 9.280 * [backup-simplify]: Simplify b into b 9.280 * [taylor]: Taking taylor expansion of PI in a 9.280 * [backup-simplify]: Simplify PI into PI 9.280 * [taylor]: Taking taylor expansion of (* a PI) in a 9.280 * [taylor]: Taking taylor expansion of a in a 9.280 * [backup-simplify]: Simplify 0 into 0 9.280 * [backup-simplify]: Simplify 1 into 1 9.280 * [taylor]: Taking taylor expansion of PI in a 9.280 * [backup-simplify]: Simplify PI into PI 9.280 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.280 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.280 * [taylor]: Taking taylor expansion of b in a 9.280 * [backup-simplify]: Simplify b into b 9.280 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.280 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.280 * [taylor]: Taking taylor expansion of a in a 9.280 * [backup-simplify]: Simplify 0 into 0 9.280 * [backup-simplify]: Simplify 1 into 1 9.281 * [backup-simplify]: Simplify (/ 1 1) into 1 9.281 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.281 * [backup-simplify]: Simplify (* 0 PI) into 0 9.281 * [backup-simplify]: Simplify (- 0) into 0 9.282 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 9.282 * [backup-simplify]: Simplify (+ 0 1) into 1 9.282 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.282 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a)))) in a 9.282 * [taylor]: Taking taylor expansion of -1/2 in a 9.282 * [backup-simplify]: Simplify -1/2 into -1/2 9.282 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a))) in a 9.282 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 9.282 * [taylor]: Taking taylor expansion of (* b PI) in a 9.282 * [taylor]: Taking taylor expansion of b in a 9.282 * [backup-simplify]: Simplify b into b 9.282 * [taylor]: Taking taylor expansion of PI in a 9.282 * [backup-simplify]: Simplify PI into PI 9.282 * [taylor]: Taking taylor expansion of (* a PI) in a 9.282 * [taylor]: Taking taylor expansion of a in a 9.282 * [backup-simplify]: Simplify 0 into 0 9.282 * [backup-simplify]: Simplify 1 into 1 9.282 * [taylor]: Taking taylor expansion of PI in a 9.282 * [backup-simplify]: Simplify PI into PI 9.282 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.282 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.282 * [taylor]: Taking taylor expansion of b in a 9.282 * [backup-simplify]: Simplify b into b 9.282 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.282 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.282 * [taylor]: Taking taylor expansion of a in a 9.282 * [backup-simplify]: Simplify 0 into 0 9.282 * [backup-simplify]: Simplify 1 into 1 9.283 * [backup-simplify]: Simplify (/ 1 1) into 1 9.283 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.283 * [backup-simplify]: Simplify (* 0 PI) into 0 9.283 * [backup-simplify]: Simplify (- 0) into 0 9.283 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 9.283 * [backup-simplify]: Simplify (+ 0 1) into 1 9.283 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.284 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 9.284 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 9.284 * [taylor]: Taking taylor expansion of -1/2 in b 9.284 * [backup-simplify]: Simplify -1/2 into -1/2 9.284 * [taylor]: Taking taylor expansion of (* PI b) in b 9.284 * [taylor]: Taking taylor expansion of PI in b 9.284 * [backup-simplify]: Simplify PI into PI 9.284 * [taylor]: Taking taylor expansion of b in b 9.284 * [backup-simplify]: Simplify 0 into 0 9.284 * [backup-simplify]: Simplify 1 into 1 9.285 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.285 * [backup-simplify]: Simplify (* PI 0) into 0 9.286 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 9.287 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 9.287 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 9.288 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.288 * [backup-simplify]: Simplify (- PI) into (- PI) 9.289 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.289 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 9.290 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- (* 2 PI)) 9.291 * [backup-simplify]: Simplify (+ (* -1/2 (- (* 2 PI))) (* 0 (* PI b))) into PI 9.291 * [taylor]: Taking taylor expansion of PI in b 9.291 * [backup-simplify]: Simplify PI into PI 9.291 * [backup-simplify]: Simplify 0 into 0 9.292 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 9.293 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 9.293 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 9.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.294 * [backup-simplify]: Simplify (- 0) into 0 9.294 * [backup-simplify]: Simplify (+ 0 0) into 0 9.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.295 * [backup-simplify]: Simplify (+ 0 0) into 0 9.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 b) 1)))) into (* 2 (/ PI b)) 9.297 * [backup-simplify]: Simplify (+ (* -1/2 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b)))) into (- (/ PI b)) 9.297 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 9.297 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.297 * [taylor]: Taking taylor expansion of PI in b 9.297 * [backup-simplify]: Simplify PI into PI 9.297 * [taylor]: Taking taylor expansion of b in b 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 1 into 1 9.297 * [backup-simplify]: Simplify (/ PI 1) into PI 9.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.299 * [backup-simplify]: Simplify (- 0) into 0 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.300 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.300 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.302 * [backup-simplify]: Simplify (- 0) into 0 9.302 * [backup-simplify]: Simplify (+ 0 0) into 0 9.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.303 * [backup-simplify]: Simplify (+ 0 0) into 0 9.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ 0 1)) (* (* 2 (/ PI b)) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI (pow b 2)))) 9.305 * [backup-simplify]: Simplify (+ (* -1/2 (- (* 2 (/ PI (pow b 2))))) (+ (* 0 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b))))) into (/ PI (pow b 2)) 9.305 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.305 * [taylor]: Taking taylor expansion of PI in b 9.305 * [backup-simplify]: Simplify PI into PI 9.305 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.305 * [taylor]: Taking taylor expansion of b in b 9.305 * [backup-simplify]: Simplify 0 into 0 9.305 * [backup-simplify]: Simplify 1 into 1 9.305 * [backup-simplify]: Simplify (* 1 1) into 1 9.306 * [backup-simplify]: Simplify (/ PI 1) into PI 9.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.310 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) 9.312 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 9.312 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.312 * [approximate]: Taking taylor expansion of (/ PI b) in (b) around 0 9.312 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.312 * [taylor]: Taking taylor expansion of PI in b 9.312 * [backup-simplify]: Simplify PI into PI 9.312 * [taylor]: Taking taylor expansion of b in b 9.312 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify 1 into 1 9.312 * [backup-simplify]: Simplify (/ PI 1) into PI 9.313 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.313 * [taylor]: Taking taylor expansion of PI in b 9.313 * [backup-simplify]: Simplify PI into PI 9.313 * [taylor]: Taking taylor expansion of b in b 9.313 * [backup-simplify]: Simplify 0 into 0 9.313 * [backup-simplify]: Simplify 1 into 1 9.313 * [backup-simplify]: Simplify (/ PI 1) into PI 9.313 * [backup-simplify]: Simplify PI into PI 9.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.314 * [backup-simplify]: Simplify 0 into 0 9.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.315 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.316 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.318 * [backup-simplify]: Simplify 0 into 0 9.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.319 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.320 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 9.320 * [backup-simplify]: Simplify (/ PI (/ 1 b)) into (* b PI) 9.320 * [approximate]: Taking taylor expansion of (* b PI) in (b) around 0 9.320 * [taylor]: Taking taylor expansion of (* b PI) in b 9.320 * [taylor]: Taking taylor expansion of b in b 9.320 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify 1 into 1 9.320 * [taylor]: Taking taylor expansion of PI in b 9.320 * [backup-simplify]: Simplify PI into PI 9.320 * [taylor]: Taking taylor expansion of (* b PI) in b 9.320 * [taylor]: Taking taylor expansion of b in b 9.320 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify 1 into 1 9.320 * [taylor]: Taking taylor expansion of PI in b 9.321 * [backup-simplify]: Simplify PI into PI 9.321 * [backup-simplify]: Simplify (* 0 PI) into 0 9.321 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.323 * [backup-simplify]: Simplify PI into PI 9.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.324 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.325 * [backup-simplify]: Simplify 0 into 0 9.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.326 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.328 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 9.332 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 9.332 * [backup-simplify]: Simplify (/ PI (/ 1 (- b))) into (* -1 (* b PI)) 9.333 * [approximate]: Taking taylor expansion of (* -1 (* b PI)) in (b) around 0 9.333 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 9.333 * [taylor]: Taking taylor expansion of -1 in b 9.333 * [backup-simplify]: Simplify -1 into -1 9.333 * [taylor]: Taking taylor expansion of (* b PI) in b 9.333 * [taylor]: Taking taylor expansion of b in b 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify 1 into 1 9.333 * [taylor]: Taking taylor expansion of PI in b 9.333 * [backup-simplify]: Simplify PI into PI 9.333 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 9.333 * [taylor]: Taking taylor expansion of -1 in b 9.333 * [backup-simplify]: Simplify -1 into -1 9.333 * [taylor]: Taking taylor expansion of (* b PI) in b 9.333 * [taylor]: Taking taylor expansion of b in b 9.333 * [backup-simplify]: Simplify 0 into 0 9.333 * [backup-simplify]: Simplify 1 into 1 9.333 * [taylor]: Taking taylor expansion of PI in b 9.333 * [backup-simplify]: Simplify PI into PI 9.334 * [backup-simplify]: Simplify (* 0 PI) into 0 9.334 * [backup-simplify]: Simplify (* -1 0) into 0 9.334 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.337 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 9.338 * [backup-simplify]: Simplify (- PI) into (- PI) 9.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 9.340 * [backup-simplify]: Simplify 0 into 0 9.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.343 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.343 * [backup-simplify]: Simplify 0 into 0 9.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.346 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.346 * [backup-simplify]: Simplify 0 into 0 9.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.349 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 9.349 * [backup-simplify]: Simplify 0 into 0 9.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.353 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 9.353 * [backup-simplify]: Simplify 0 into 0 9.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 9.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 9.357 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- b))) into (/ PI b) 9.358 * * * * [progress]: [ 4 / 4 ] generating series at (2) 9.359 * [backup-simplify]: Simplify (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (- b a)) into (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) 9.359 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in (a b) around 0 9.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in b 9.359 * [taylor]: Taking taylor expansion of 1/2 in b 9.359 * [backup-simplify]: Simplify 1/2 into 1/2 9.359 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in b 9.359 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 9.359 * [taylor]: Taking taylor expansion of (/ PI a) in b 9.359 * [taylor]: Taking taylor expansion of PI in b 9.359 * [backup-simplify]: Simplify PI into PI 9.359 * [taylor]: Taking taylor expansion of a in b 9.359 * [backup-simplify]: Simplify a into a 9.359 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 9.359 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.359 * [taylor]: Taking taylor expansion of PI in b 9.359 * [backup-simplify]: Simplify PI into PI 9.359 * [taylor]: Taking taylor expansion of b in b 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [backup-simplify]: Simplify 1 into 1 9.360 * [backup-simplify]: Simplify (/ PI 1) into PI 9.360 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 9.360 * [taylor]: Taking taylor expansion of (- b a) in b 9.360 * [taylor]: Taking taylor expansion of b in b 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify 1 into 1 9.360 * [taylor]: Taking taylor expansion of a in b 9.360 * [backup-simplify]: Simplify a into a 9.360 * [taylor]: Taking taylor expansion of (+ a b) in b 9.360 * [taylor]: Taking taylor expansion of a in b 9.360 * [backup-simplify]: Simplify a into a 9.360 * [taylor]: Taking taylor expansion of b in b 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify 1 into 1 9.361 * [backup-simplify]: Simplify (- PI) into (- PI) 9.362 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.362 * [backup-simplify]: Simplify (- a) into (- a) 9.362 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 9.362 * [backup-simplify]: Simplify (+ a 0) into a 9.362 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 9.362 * [backup-simplify]: Simplify (/ (- PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 9.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 9.362 * [taylor]: Taking taylor expansion of 1/2 in a 9.362 * [backup-simplify]: Simplify 1/2 into 1/2 9.362 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 9.363 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 9.363 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.363 * [taylor]: Taking taylor expansion of PI in a 9.363 * [backup-simplify]: Simplify PI into PI 9.363 * [taylor]: Taking taylor expansion of a in a 9.363 * [backup-simplify]: Simplify 0 into 0 9.363 * [backup-simplify]: Simplify 1 into 1 9.363 * [backup-simplify]: Simplify (/ PI 1) into PI 9.363 * [taylor]: Taking taylor expansion of (/ PI b) in a 9.363 * [taylor]: Taking taylor expansion of PI in a 9.363 * [backup-simplify]: Simplify PI into PI 9.363 * [taylor]: Taking taylor expansion of b in a 9.363 * [backup-simplify]: Simplify b into b 9.363 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.363 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 9.363 * [taylor]: Taking taylor expansion of (- b a) in a 9.363 * [taylor]: Taking taylor expansion of b in a 9.364 * [backup-simplify]: Simplify b into b 9.364 * [taylor]: Taking taylor expansion of a in a 9.364 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify 1 into 1 9.364 * [taylor]: Taking taylor expansion of (+ a b) in a 9.364 * [taylor]: Taking taylor expansion of a in a 9.364 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify 1 into 1 9.364 * [taylor]: Taking taylor expansion of b in a 9.364 * [backup-simplify]: Simplify b into b 9.364 * [backup-simplify]: Simplify (+ PI 0) into PI 9.365 * [backup-simplify]: Simplify (- 0) into 0 9.365 * [backup-simplify]: Simplify (+ b 0) into b 9.365 * [backup-simplify]: Simplify (+ 0 b) into b 9.365 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.365 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 9.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 9.365 * [taylor]: Taking taylor expansion of 1/2 in a 9.365 * [backup-simplify]: Simplify 1/2 into 1/2 9.365 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 9.365 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 9.365 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.365 * [taylor]: Taking taylor expansion of PI in a 9.365 * [backup-simplify]: Simplify PI into PI 9.365 * [taylor]: Taking taylor expansion of a in a 9.365 * [backup-simplify]: Simplify 0 into 0 9.365 * [backup-simplify]: Simplify 1 into 1 9.366 * [backup-simplify]: Simplify (/ PI 1) into PI 9.366 * [taylor]: Taking taylor expansion of (/ PI b) in a 9.366 * [taylor]: Taking taylor expansion of PI in a 9.366 * [backup-simplify]: Simplify PI into PI 9.366 * [taylor]: Taking taylor expansion of b in a 9.366 * [backup-simplify]: Simplify b into b 9.366 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.366 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 9.366 * [taylor]: Taking taylor expansion of (- b a) in a 9.366 * [taylor]: Taking taylor expansion of b in a 9.366 * [backup-simplify]: Simplify b into b 9.366 * [taylor]: Taking taylor expansion of a in a 9.366 * [backup-simplify]: Simplify 0 into 0 9.366 * [backup-simplify]: Simplify 1 into 1 9.366 * [taylor]: Taking taylor expansion of (+ a b) in a 9.366 * [taylor]: Taking taylor expansion of a in a 9.366 * [backup-simplify]: Simplify 0 into 0 9.366 * [backup-simplify]: Simplify 1 into 1 9.366 * [taylor]: Taking taylor expansion of b in a 9.366 * [backup-simplify]: Simplify b into b 9.367 * [backup-simplify]: Simplify (+ PI 0) into PI 9.367 * [backup-simplify]: Simplify (- 0) into 0 9.367 * [backup-simplify]: Simplify (+ b 0) into b 9.367 * [backup-simplify]: Simplify (+ 0 b) into b 9.367 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.367 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 9.368 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 9.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 9.368 * [taylor]: Taking taylor expansion of 1/2 in b 9.368 * [backup-simplify]: Simplify 1/2 into 1/2 9.368 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.368 * [taylor]: Taking taylor expansion of PI in b 9.368 * [backup-simplify]: Simplify PI into PI 9.368 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.368 * [taylor]: Taking taylor expansion of b in b 9.368 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify 1 into 1 9.368 * [backup-simplify]: Simplify (* 1 1) into 1 9.369 * [backup-simplify]: Simplify (/ PI 1) into PI 9.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 9.371 * [backup-simplify]: Simplify 0 into 0 9.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.372 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 9.372 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 9.373 * [backup-simplify]: Simplify (+ 1 0) into 1 9.373 * [backup-simplify]: Simplify (- 1) into -1 9.374 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.374 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 9.374 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 9.374 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 9.374 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 9.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 9.375 * [taylor]: Taking taylor expansion of 1/2 in b 9.375 * [backup-simplify]: Simplify 1/2 into 1/2 9.375 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 9.375 * [taylor]: Taking taylor expansion of PI in b 9.375 * [backup-simplify]: Simplify PI into PI 9.375 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.375 * [taylor]: Taking taylor expansion of b in b 9.375 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify 1 into 1 9.375 * [backup-simplify]: Simplify (* 1 1) into 1 9.376 * [backup-simplify]: Simplify (* 1 1) into 1 9.377 * [backup-simplify]: Simplify (/ PI 1) into PI 9.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.384 * [backup-simplify]: Simplify (- 0) into 0 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.387 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.388 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 9.389 * [backup-simplify]: Simplify (- 0) into 0 9.389 * [backup-simplify]: Simplify (+ 0 0) into 0 9.389 * [backup-simplify]: Simplify (+ 0 0) into 0 9.390 * [backup-simplify]: Simplify (- 0) into 0 9.390 * [backup-simplify]: Simplify (+ 0 0) into 0 9.391 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 9.392 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* (- (/ PI (pow b 3))) (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 9.392 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 9.392 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 9.392 * [taylor]: Taking taylor expansion of 1/2 in b 9.392 * [backup-simplify]: Simplify 1/2 into 1/2 9.392 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 9.392 * [taylor]: Taking taylor expansion of PI in b 9.392 * [backup-simplify]: Simplify PI into PI 9.392 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.392 * [taylor]: Taking taylor expansion of b in b 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify 1 into 1 9.393 * [backup-simplify]: Simplify (* 1 1) into 1 9.393 * [backup-simplify]: Simplify (* 1 1) into 1 9.394 * [backup-simplify]: Simplify (/ PI 1) into PI 9.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.408 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.411 * [backup-simplify]: Simplify (- 0) into 0 9.411 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.413 * [backup-simplify]: Simplify 0 into 0 9.413 * [backup-simplify]: Simplify 0 into 0 9.414 * [backup-simplify]: Simplify (/ (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) into (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) 9.414 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in (a b) around 0 9.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in b 9.414 * [taylor]: Taking taylor expansion of 1/2 in b 9.414 * [backup-simplify]: Simplify 1/2 into 1/2 9.414 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 9.414 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 9.414 * [taylor]: Taking taylor expansion of (* a PI) in b 9.414 * [taylor]: Taking taylor expansion of a in b 9.414 * [backup-simplify]: Simplify a into a 9.414 * [taylor]: Taking taylor expansion of PI in b 9.414 * [backup-simplify]: Simplify PI into PI 9.414 * [taylor]: Taking taylor expansion of (* PI b) in b 9.414 * [taylor]: Taking taylor expansion of PI in b 9.414 * [backup-simplify]: Simplify PI into PI 9.414 * [taylor]: Taking taylor expansion of b in b 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [backup-simplify]: Simplify 1 into 1 9.414 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 9.414 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 9.414 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.414 * [taylor]: Taking taylor expansion of b in b 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [backup-simplify]: Simplify 1 into 1 9.414 * [backup-simplify]: Simplify (/ 1 1) into 1 9.414 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.414 * [taylor]: Taking taylor expansion of a in b 9.414 * [backup-simplify]: Simplify a into a 9.414 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.414 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.414 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.414 * [taylor]: Taking taylor expansion of b in b 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [backup-simplify]: Simplify 1 into 1 9.415 * [backup-simplify]: Simplify (/ 1 1) into 1 9.415 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.415 * [taylor]: Taking taylor expansion of a in b 9.415 * [backup-simplify]: Simplify a into a 9.415 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.415 * [backup-simplify]: Simplify (* a PI) into (* a PI) 9.415 * [backup-simplify]: Simplify (* PI 0) into 0 9.415 * [backup-simplify]: Simplify (- 0) into 0 9.415 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 9.416 * [backup-simplify]: Simplify (+ 1 0) into 1 9.416 * [backup-simplify]: Simplify (+ 1 0) into 1 9.416 * [backup-simplify]: Simplify (* 1 1) into 1 9.416 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in a 9.416 * [taylor]: Taking taylor expansion of 1/2 in a 9.416 * [backup-simplify]: Simplify 1/2 into 1/2 9.416 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 9.416 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 9.416 * [taylor]: Taking taylor expansion of (* a PI) in a 9.416 * [taylor]: Taking taylor expansion of a in a 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 1 into 1 9.416 * [taylor]: Taking taylor expansion of PI in a 9.416 * [backup-simplify]: Simplify PI into PI 9.416 * [taylor]: Taking taylor expansion of (* PI b) in a 9.416 * [taylor]: Taking taylor expansion of PI in a 9.416 * [backup-simplify]: Simplify PI into PI 9.416 * [taylor]: Taking taylor expansion of b in a 9.416 * [backup-simplify]: Simplify b into b 9.416 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 9.416 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 9.416 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.417 * [taylor]: Taking taylor expansion of b in a 9.417 * [backup-simplify]: Simplify b into b 9.417 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.417 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.417 * [taylor]: Taking taylor expansion of a in a 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify 1 into 1 9.417 * [backup-simplify]: Simplify (/ 1 1) into 1 9.417 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.417 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.417 * [taylor]: Taking taylor expansion of b in a 9.417 * [backup-simplify]: Simplify b into b 9.417 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.417 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.417 * [taylor]: Taking taylor expansion of a in a 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify 1 into 1 9.417 * [backup-simplify]: Simplify (/ 1 1) into 1 9.418 * [backup-simplify]: Simplify (* 0 PI) into 0 9.418 * [backup-simplify]: Simplify (* PI b) into (* b PI) 9.418 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 9.418 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 9.418 * [backup-simplify]: Simplify (- 1) into -1 9.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.418 * [backup-simplify]: Simplify (+ 0 1) into 1 9.419 * [backup-simplify]: Simplify (* -1 1) into -1 9.419 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 9.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in a 9.419 * [taylor]: Taking taylor expansion of 1/2 in a 9.419 * [backup-simplify]: Simplify 1/2 into 1/2 9.419 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 9.419 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 9.419 * [taylor]: Taking taylor expansion of (* a PI) in a 9.419 * [taylor]: Taking taylor expansion of a in a 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.419 * [taylor]: Taking taylor expansion of PI in a 9.419 * [backup-simplify]: Simplify PI into PI 9.419 * [taylor]: Taking taylor expansion of (* PI b) in a 9.419 * [taylor]: Taking taylor expansion of PI in a 9.419 * [backup-simplify]: Simplify PI into PI 9.419 * [taylor]: Taking taylor expansion of b in a 9.419 * [backup-simplify]: Simplify b into b 9.419 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 9.419 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 9.419 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.419 * [taylor]: Taking taylor expansion of b in a 9.419 * [backup-simplify]: Simplify b into b 9.419 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.419 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.419 * [taylor]: Taking taylor expansion of a in a 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.420 * [backup-simplify]: Simplify (/ 1 1) into 1 9.420 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.420 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.420 * [taylor]: Taking taylor expansion of b in a 9.420 * [backup-simplify]: Simplify b into b 9.420 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.420 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.420 * [taylor]: Taking taylor expansion of a in a 9.420 * [backup-simplify]: Simplify 0 into 0 9.420 * [backup-simplify]: Simplify 1 into 1 9.420 * [backup-simplify]: Simplify (/ 1 1) into 1 9.420 * [backup-simplify]: Simplify (* 0 PI) into 0 9.420 * [backup-simplify]: Simplify (* PI b) into (* b PI) 9.420 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 9.420 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 9.421 * [backup-simplify]: Simplify (- 1) into -1 9.421 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.421 * [backup-simplify]: Simplify (+ 0 1) into 1 9.422 * [backup-simplify]: Simplify (* -1 1) into -1 9.422 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 9.422 * [backup-simplify]: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) 9.422 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 9.422 * [taylor]: Taking taylor expansion of 1/2 in b 9.422 * [backup-simplify]: Simplify 1/2 into 1/2 9.422 * [taylor]: Taking taylor expansion of (* b PI) in b 9.422 * [taylor]: Taking taylor expansion of b in b 9.422 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify 1 into 1 9.422 * [taylor]: Taking taylor expansion of PI in b 9.422 * [backup-simplify]: Simplify PI into PI 9.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.424 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.424 * [backup-simplify]: Simplify (* 0 PI) into 0 9.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 9.425 * [backup-simplify]: Simplify 0 into 0 9.426 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.426 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 9.426 * [backup-simplify]: Simplify (- 0) into 0 9.427 * [backup-simplify]: Simplify (+ PI 0) into PI 9.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.427 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 9.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.428 * [backup-simplify]: Simplify (- 0) into 0 9.428 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 9.428 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 9.429 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ 0 -1)))) into (- PI) 9.429 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) 9.429 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 9.429 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 9.429 * [taylor]: Taking taylor expansion of 1/2 in b 9.429 * [backup-simplify]: Simplify 1/2 into 1/2 9.430 * [taylor]: Taking taylor expansion of PI in b 9.430 * [backup-simplify]: Simplify PI into PI 9.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.430 * [backup-simplify]: Simplify (- 0) into 0 9.430 * [backup-simplify]: Simplify 0 into 0 9.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.432 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.433 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 9.434 * [backup-simplify]: Simplify (- 0) into 0 9.434 * [backup-simplify]: Simplify (+ 0 0) into 0 9.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.435 * [backup-simplify]: Simplify (+ 0 0) into 0 9.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.436 * [backup-simplify]: Simplify (- 0) into 0 9.436 * [backup-simplify]: Simplify (+ 0 0) into 0 9.437 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 9.438 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 9.439 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) 9.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.439 * [taylor]: Taking taylor expansion of 1/2 in b 9.439 * [backup-simplify]: Simplify 1/2 into 1/2 9.439 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.439 * [taylor]: Taking taylor expansion of PI in b 9.439 * [backup-simplify]: Simplify PI into PI 9.439 * [taylor]: Taking taylor expansion of b in b 9.439 * [backup-simplify]: Simplify 0 into 0 9.439 * [backup-simplify]: Simplify 1 into 1 9.440 * [backup-simplify]: Simplify (/ PI 1) into PI 9.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.444 * [backup-simplify]: Simplify 0 into 0 9.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.446 * [backup-simplify]: Simplify (- 0) into 0 9.446 * [backup-simplify]: Simplify 0 into 0 9.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify (/ (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) 9.449 * [approximate]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in (a b) around 0 9.449 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in b 9.449 * [taylor]: Taking taylor expansion of -1/2 in b 9.449 * [backup-simplify]: Simplify -1/2 into -1/2 9.449 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in b 9.449 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 9.449 * [taylor]: Taking taylor expansion of (* b PI) in b 9.449 * [taylor]: Taking taylor expansion of b in b 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify 1 into 1 9.449 * [taylor]: Taking taylor expansion of PI in b 9.450 * [backup-simplify]: Simplify PI into PI 9.450 * [taylor]: Taking taylor expansion of (* a PI) in b 9.450 * [taylor]: Taking taylor expansion of a in b 9.450 * [backup-simplify]: Simplify a into a 9.450 * [taylor]: Taking taylor expansion of PI in b 9.450 * [backup-simplify]: Simplify PI into PI 9.450 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in b 9.450 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 9.450 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.450 * [taylor]: Taking taylor expansion of a in b 9.450 * [backup-simplify]: Simplify a into a 9.450 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.450 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.450 * [taylor]: Taking taylor expansion of b in b 9.450 * [backup-simplify]: Simplify 0 into 0 9.450 * [backup-simplify]: Simplify 1 into 1 9.450 * [backup-simplify]: Simplify (/ 1 1) into 1 9.450 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.450 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.450 * [taylor]: Taking taylor expansion of b in b 9.450 * [backup-simplify]: Simplify 0 into 0 9.450 * [backup-simplify]: Simplify 1 into 1 9.451 * [backup-simplify]: Simplify (/ 1 1) into 1 9.451 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.451 * [taylor]: Taking taylor expansion of a in b 9.451 * [backup-simplify]: Simplify a into a 9.451 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.451 * [backup-simplify]: Simplify (* 0 PI) into 0 9.451 * [backup-simplify]: Simplify (* a PI) into (* a PI) 9.452 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 9.452 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 9.452 * [backup-simplify]: Simplify (- 1) into -1 9.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.453 * [backup-simplify]: Simplify (+ 1 0) into 1 9.453 * [backup-simplify]: Simplify (* -1 1) into -1 9.453 * [backup-simplify]: Simplify (/ (- (* a PI)) -1) into (* a PI) 9.453 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in a 9.453 * [taylor]: Taking taylor expansion of -1/2 in a 9.453 * [backup-simplify]: Simplify -1/2 into -1/2 9.453 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in a 9.454 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 9.454 * [taylor]: Taking taylor expansion of (* b PI) in a 9.454 * [taylor]: Taking taylor expansion of b in a 9.454 * [backup-simplify]: Simplify b into b 9.454 * [taylor]: Taking taylor expansion of PI in a 9.454 * [backup-simplify]: Simplify PI into PI 9.454 * [taylor]: Taking taylor expansion of (* a PI) in a 9.454 * [taylor]: Taking taylor expansion of a in a 9.454 * [backup-simplify]: Simplify 0 into 0 9.454 * [backup-simplify]: Simplify 1 into 1 9.454 * [taylor]: Taking taylor expansion of PI in a 9.454 * [backup-simplify]: Simplify PI into PI 9.454 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 9.454 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 9.454 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.454 * [taylor]: Taking taylor expansion of a in a 9.454 * [backup-simplify]: Simplify 0 into 0 9.454 * [backup-simplify]: Simplify 1 into 1 9.454 * [backup-simplify]: Simplify (/ 1 1) into 1 9.454 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.454 * [taylor]: Taking taylor expansion of b in a 9.454 * [backup-simplify]: Simplify b into b 9.454 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.454 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.454 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.454 * [taylor]: Taking taylor expansion of b in a 9.454 * [backup-simplify]: Simplify b into b 9.455 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.455 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.455 * [taylor]: Taking taylor expansion of a in a 9.455 * [backup-simplify]: Simplify 0 into 0 9.455 * [backup-simplify]: Simplify 1 into 1 9.455 * [backup-simplify]: Simplify (/ 1 1) into 1 9.455 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.456 * [backup-simplify]: Simplify (* 0 PI) into 0 9.456 * [backup-simplify]: Simplify (- 0) into 0 9.456 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 9.456 * [backup-simplify]: Simplify (+ 1 0) into 1 9.457 * [backup-simplify]: Simplify (+ 0 1) into 1 9.457 * [backup-simplify]: Simplify (* 1 1) into 1 9.457 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.457 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in a 9.457 * [taylor]: Taking taylor expansion of -1/2 in a 9.457 * [backup-simplify]: Simplify -1/2 into -1/2 9.457 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in a 9.457 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 9.457 * [taylor]: Taking taylor expansion of (* b PI) in a 9.457 * [taylor]: Taking taylor expansion of b in a 9.458 * [backup-simplify]: Simplify b into b 9.458 * [taylor]: Taking taylor expansion of PI in a 9.458 * [backup-simplify]: Simplify PI into PI 9.458 * [taylor]: Taking taylor expansion of (* a PI) in a 9.458 * [taylor]: Taking taylor expansion of a in a 9.458 * [backup-simplify]: Simplify 0 into 0 9.458 * [backup-simplify]: Simplify 1 into 1 9.458 * [taylor]: Taking taylor expansion of PI in a 9.458 * [backup-simplify]: Simplify PI into PI 9.458 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 9.458 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 9.458 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.458 * [taylor]: Taking taylor expansion of a in a 9.458 * [backup-simplify]: Simplify 0 into 0 9.458 * [backup-simplify]: Simplify 1 into 1 9.458 * [backup-simplify]: Simplify (/ 1 1) into 1 9.458 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.458 * [taylor]: Taking taylor expansion of b in a 9.458 * [backup-simplify]: Simplify b into b 9.458 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.458 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.458 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.458 * [taylor]: Taking taylor expansion of b in a 9.458 * [backup-simplify]: Simplify b into b 9.458 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.458 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.459 * [taylor]: Taking taylor expansion of a in a 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify 1 into 1 9.459 * [backup-simplify]: Simplify (/ 1 1) into 1 9.459 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.459 * [backup-simplify]: Simplify (* 0 PI) into 0 9.460 * [backup-simplify]: Simplify (- 0) into 0 9.460 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 9.460 * [backup-simplify]: Simplify (+ 1 0) into 1 9.461 * [backup-simplify]: Simplify (+ 0 1) into 1 9.461 * [backup-simplify]: Simplify (* 1 1) into 1 9.461 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.461 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 9.461 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 9.461 * [taylor]: Taking taylor expansion of -1/2 in b 9.462 * [backup-simplify]: Simplify -1/2 into -1/2 9.462 * [taylor]: Taking taylor expansion of (* PI b) in b 9.462 * [taylor]: Taking taylor expansion of PI in b 9.462 * [backup-simplify]: Simplify PI into PI 9.462 * [taylor]: Taking taylor expansion of b in b 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 1 into 1 9.463 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 9.464 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.465 * [backup-simplify]: Simplify (* PI 0) into 0 9.466 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 9.466 * [backup-simplify]: Simplify 0 into 0 9.467 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 9.468 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.469 * [backup-simplify]: Simplify (- PI) into (- PI) 9.470 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 9.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.471 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 9.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.471 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 9.472 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 9.472 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (- (/ 1 b)) 1)) into 0 9.473 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 9.474 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 9.475 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 9.475 * [taylor]: Taking taylor expansion of 1/2 in b 9.475 * [backup-simplify]: Simplify 1/2 into 1/2 9.475 * [taylor]: Taking taylor expansion of PI in b 9.475 * [backup-simplify]: Simplify PI into PI 9.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.476 * [backup-simplify]: Simplify 0 into 0 9.477 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.479 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.479 * [backup-simplify]: Simplify 0 into 0 9.479 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 9.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.481 * [backup-simplify]: Simplify (- 0) into 0 9.481 * [backup-simplify]: Simplify (+ 0 0) into 0 9.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.483 * [backup-simplify]: Simplify (+ 0 0) into 0 9.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.485 * [backup-simplify]: Simplify (- 0) into 0 9.485 * [backup-simplify]: Simplify (+ 0 0) into 0 9.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) (/ 1 b)) (* 0 1))) into (- (/ 1 (pow b 2))) 9.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 9.488 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 9.488 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 9.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.488 * [taylor]: Taking taylor expansion of 1/2 in b 9.488 * [backup-simplify]: Simplify 1/2 into 1/2 9.488 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.488 * [taylor]: Taking taylor expansion of PI in b 9.488 * [backup-simplify]: Simplify PI into PI 9.488 * [taylor]: Taking taylor expansion of b in b 9.488 * [backup-simplify]: Simplify 0 into 0 9.488 * [backup-simplify]: Simplify 1 into 1 9.488 * [backup-simplify]: Simplify (/ PI 1) into PI 9.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.493 * [backup-simplify]: Simplify (- 0) into 0 9.493 * [backup-simplify]: Simplify 0 into 0 9.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.494 * [backup-simplify]: Simplify 0 into 0 9.495 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.497 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.497 * [backup-simplify]: Simplify 0 into 0 9.497 * [backup-simplify]: Simplify 0 into 0 9.497 * * * [progress]: simplifying candidates 9.497 * * * * [progress]: [ 1 / 1321 ] simplifiying candidate # 9.497 * * * * 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9.611 * * * * [progress]: [ 1290 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1291 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1292 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1293 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1294 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1295 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1296 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1297 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1298 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1299 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1300 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1301 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1302 / 1321 ] simplifiying candidate # 9.611 * * * * [progress]: [ 1303 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1304 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1305 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1306 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1307 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1308 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1309 / 1321 ] simplifiying candidate #real (real->posit16 (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (- b a)))))> 9.612 * * * * [progress]: [ 1310 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1311 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1312 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1313 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1314 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1315 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1316 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1317 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1318 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1319 / 1321 ] simplifiying candidate # 9.612 * * * * [progress]: [ 1320 / 1321 ] simplifiying candidate # 9.613 * * * * [progress]: [ 1321 / 1321 ] simplifiying candidate # 9.653 * [simplify]: Simplifying: (expm1 (/ PI a)) (log1p (/ PI a)) (- (log PI) (log a)) (log (/ PI a)) (exp (/ PI a)) (/ (* (* PI PI) PI) (* (* a a) a)) (* (cbrt (/ PI a)) (cbrt (/ PI a))) (cbrt (/ PI a)) (* (* (/ PI a) (/ PI a)) (/ PI a)) (sqrt (/ PI a)) (sqrt (/ PI a)) (- PI) (- a) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt a) (cbrt a))) (/ (cbrt PI) (cbrt a)) (/ (* (cbrt PI) (cbrt PI)) (sqrt a)) (/ (cbrt PI) (sqrt a)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) a) (/ (sqrt PI) (* (cbrt a) (cbrt a))) (/ (sqrt PI) (cbrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) 1) (/ (sqrt PI) a) (/ 1 (* (cbrt a) (cbrt a))) (/ PI (cbrt a)) (/ 1 (sqrt a)) (/ PI (sqrt a)) (/ 1 1) (/ PI a) (/ 1 a) (/ a PI) (/ PI (* (cbrt a) (cbrt a))) (/ PI (sqrt a)) (/ PI 1) (/ a (cbrt 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(sqrt 2))) (sqrt (+ b a))) (/ (- b a) (/ (- (/ PI a) (/ PI b)) (* (+ b a) (sqrt 2)))) (/ (- b a) (/ (- (/ PI a) (/ PI b)) (* (+ b a) (sqrt 2)))) (/ (- b a) (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) 2))) (* (/ (- b a) (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ b a)) (cbrt 2)))) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (* (sqrt (+ b a)) (cbrt 2)))) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (cbrt 2)))) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (cbrt 2)))) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (+ b a)) (sqrt 2)))) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (* (sqrt (+ b a)) (sqrt 2)))) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (sqrt 2)))) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (sqrt 2)))) (* (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ b a))) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (* (sqrt (+ b a)) 2))) (* (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) 2)) (+ b a)) (* (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) 2)) (+ b a)) (/ (- b a) (/ (- (/ PI a) (/ PI b)) (* (cbrt (+ b a)) 2))) (* (/ (- b a) (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (* (/ (- b a) 1/2) (cbrt (+ b a))) (* (/ (- b a) 1/2) (sqrt (+ b a))) (/ (- b a) (/ 1/2 (+ b a))) (/ (- b a) (/ 1/2 (+ b a))) (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (* (/ (- b a) 1) (+ b a)) (/ (- b a) (fma a (- a b) (* b b))) 1 (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (- (* (* b b) b) (* a (* a a)))) (/ (/ (- (/ PI a) (/ PI b)) 2) (* (* (+ b a) (- b a)) (+ b a))) (* (+ b a) (- b a)) (real->posit16 (/ (/ (- (/ PI a) (/ PI b)) 2) (* (+ b a) (- b a)))) (/ PI a) (/ PI a) (/ PI a) (* (/ 1/2 b) (/ PI a)) (* (/ PI (* b a)) -1/2) (* (/ PI (* b a)) -1/2) (/ PI b) (/ PI b) (/ PI b) 0 0 0 12.292 * * * [progress]: adding candidates to table 17.983 * * [progress]: iteration 4 / 4 17.983 * * * [progress]: picking best candidate 18.005 * * * * [pick]: Picked # 18.005 * * * [progress]: localizing error 18.032 * * * [progress]: generating rewritten candidates 18.033 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 18.036 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 18.096 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 18.103 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 18.235 * * * [progress]: generating series expansions 18.235 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 18.236 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 18.236 * [approximate]: Taking taylor expansion of (/ PI a) in (a) around 0 18.236 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.236 * [taylor]: Taking taylor expansion of PI in a 18.236 * [backup-simplify]: Simplify PI into PI 18.236 * [taylor]: Taking taylor expansion of a in a 18.236 * [backup-simplify]: Simplify 0 into 0 18.236 * [backup-simplify]: Simplify 1 into 1 18.237 * [backup-simplify]: Simplify (/ PI 1) into PI 18.237 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.237 * [taylor]: Taking taylor expansion of PI in a 18.237 * [backup-simplify]: Simplify PI into PI 18.237 * [taylor]: Taking taylor expansion of a in a 18.237 * [backup-simplify]: Simplify 0 into 0 18.237 * [backup-simplify]: Simplify 1 into 1 18.237 * [backup-simplify]: Simplify (/ PI 1) into PI 18.237 * [backup-simplify]: Simplify PI into PI 18.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.238 * [backup-simplify]: Simplify 0 into 0 18.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.240 * [backup-simplify]: Simplify 0 into 0 18.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.241 * [backup-simplify]: Simplify 0 into 0 18.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.242 * [backup-simplify]: Simplify 0 into 0 18.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.243 * [backup-simplify]: Simplify 0 into 0 18.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.245 * [backup-simplify]: Simplify 0 into 0 18.245 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 18.245 * [backup-simplify]: Simplify (/ PI (/ 1 a)) into (* a PI) 18.245 * [approximate]: Taking taylor expansion of (* a PI) in (a) around 0 18.245 * [taylor]: Taking taylor expansion of (* a PI) in a 18.245 * [taylor]: Taking taylor expansion of a in a 18.245 * [backup-simplify]: Simplify 0 into 0 18.245 * [backup-simplify]: Simplify 1 into 1 18.245 * [taylor]: Taking taylor expansion of PI in a 18.245 * [backup-simplify]: Simplify PI into PI 18.245 * [taylor]: Taking taylor expansion of (* a PI) in a 18.245 * [taylor]: Taking taylor expansion of a in a 18.245 * [backup-simplify]: Simplify 0 into 0 18.245 * [backup-simplify]: Simplify 1 into 1 18.245 * [taylor]: Taking taylor expansion of PI in a 18.245 * [backup-simplify]: Simplify PI into PI 18.246 * [backup-simplify]: Simplify (* 0 PI) into 0 18.246 * [backup-simplify]: Simplify 0 into 0 18.247 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.247 * [backup-simplify]: Simplify PI into PI 18.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.249 * [backup-simplify]: Simplify 0 into 0 18.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.250 * [backup-simplify]: Simplify 0 into 0 18.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 18.251 * [backup-simplify]: Simplify 0 into 0 18.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 18.253 * [backup-simplify]: Simplify 0 into 0 18.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 18.255 * [backup-simplify]: Simplify 0 into 0 18.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 18.257 * [backup-simplify]: Simplify 0 into 0 18.257 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 18.257 * [backup-simplify]: Simplify (/ PI (/ 1 (- a))) into (* -1 (* a PI)) 18.257 * [approximate]: Taking taylor expansion of (* -1 (* a PI)) in (a) around 0 18.257 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 18.257 * [taylor]: Taking taylor expansion of -1 in a 18.257 * [backup-simplify]: Simplify -1 into -1 18.257 * [taylor]: Taking taylor expansion of (* a PI) in a 18.257 * [taylor]: Taking taylor expansion of a in a 18.257 * [backup-simplify]: Simplify 0 into 0 18.257 * [backup-simplify]: Simplify 1 into 1 18.257 * [taylor]: Taking taylor expansion of PI in a 18.257 * [backup-simplify]: Simplify PI into PI 18.257 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 18.257 * [taylor]: Taking taylor expansion of -1 in a 18.257 * [backup-simplify]: Simplify -1 into -1 18.257 * [taylor]: Taking taylor expansion of (* a PI) in a 18.257 * [taylor]: Taking taylor expansion of a in a 18.257 * [backup-simplify]: Simplify 0 into 0 18.257 * [backup-simplify]: Simplify 1 into 1 18.257 * [taylor]: Taking taylor expansion of PI in a 18.257 * [backup-simplify]: Simplify PI into PI 18.258 * [backup-simplify]: Simplify (* 0 PI) into 0 18.258 * [backup-simplify]: Simplify (* -1 0) into 0 18.258 * [backup-simplify]: Simplify 0 into 0 18.260 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.262 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 18.262 * [backup-simplify]: Simplify (- PI) into (- PI) 18.263 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.264 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 18.264 * [backup-simplify]: Simplify 0 into 0 18.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.267 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.267 * [backup-simplify]: Simplify 0 into 0 18.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 18.269 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 18.269 * [backup-simplify]: Simplify 0 into 0 18.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 18.273 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 18.273 * [backup-simplify]: Simplify 0 into 0 18.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 18.277 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 18.277 * [backup-simplify]: Simplify 0 into 0 18.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 18.281 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 18.281 * [backup-simplify]: Simplify 0 into 0 18.281 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- a))) into (/ PI a) 18.281 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 18.282 * [backup-simplify]: Simplify (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) into (* 1/2 (/ (- (/ PI a) (/ PI b)) (+ a b))) 18.282 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (+ a b))) in (a b) around 0 18.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (+ a b))) in b 18.282 * [taylor]: Taking taylor expansion of 1/2 in b 18.282 * [backup-simplify]: Simplify 1/2 into 1/2 18.282 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in b 18.282 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 18.282 * [taylor]: Taking taylor expansion of (/ PI a) in b 18.282 * [taylor]: Taking taylor expansion of PI in b 18.282 * [backup-simplify]: Simplify PI into PI 18.282 * [taylor]: Taking taylor expansion of a in b 18.282 * [backup-simplify]: Simplify a into a 18.282 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 18.282 * [taylor]: Taking taylor expansion of (/ PI b) in b 18.282 * [taylor]: Taking taylor expansion of PI in b 18.282 * [backup-simplify]: Simplify PI into PI 18.282 * [taylor]: Taking taylor expansion of b in b 18.282 * [backup-simplify]: Simplify 0 into 0 18.282 * [backup-simplify]: Simplify 1 into 1 18.283 * [backup-simplify]: Simplify (/ PI 1) into PI 18.283 * [taylor]: Taking taylor expansion of (+ a b) in b 18.283 * [taylor]: Taking taylor expansion of a in b 18.283 * [backup-simplify]: Simplify a into a 18.283 * [taylor]: Taking taylor expansion of b in b 18.283 * [backup-simplify]: Simplify 0 into 0 18.283 * [backup-simplify]: Simplify 1 into 1 18.283 * [backup-simplify]: Simplify (- PI) into (- PI) 18.284 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 18.284 * [backup-simplify]: Simplify (+ a 0) into a 18.285 * [backup-simplify]: Simplify (/ (- PI) a) into (* -1 (/ PI a)) 18.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (+ a b))) in a 18.285 * [taylor]: Taking taylor expansion of 1/2 in a 18.285 * [backup-simplify]: Simplify 1/2 into 1/2 18.285 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in a 18.285 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 18.285 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.285 * [taylor]: Taking taylor expansion of PI in a 18.285 * [backup-simplify]: Simplify PI into PI 18.285 * [taylor]: Taking taylor expansion of a in a 18.285 * [backup-simplify]: Simplify 0 into 0 18.285 * [backup-simplify]: Simplify 1 into 1 18.286 * [backup-simplify]: Simplify (/ PI 1) into PI 18.286 * [taylor]: Taking taylor expansion of (/ PI b) in a 18.286 * [taylor]: Taking taylor expansion of PI in a 18.286 * [backup-simplify]: Simplify PI into PI 18.286 * [taylor]: Taking taylor expansion of b in a 18.286 * [backup-simplify]: Simplify b into b 18.286 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 18.286 * [taylor]: Taking taylor expansion of (+ a b) in a 18.286 * [taylor]: Taking taylor expansion of a in a 18.286 * [backup-simplify]: Simplify 0 into 0 18.286 * [backup-simplify]: Simplify 1 into 1 18.286 * [taylor]: Taking taylor expansion of b in a 18.286 * [backup-simplify]: Simplify b into b 18.286 * [backup-simplify]: Simplify (+ PI 0) into PI 18.286 * [backup-simplify]: Simplify (+ 0 b) into b 18.286 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 18.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (+ a b))) in a 18.287 * [taylor]: Taking taylor expansion of 1/2 in a 18.287 * [backup-simplify]: Simplify 1/2 into 1/2 18.287 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in a 18.287 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 18.287 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.287 * [taylor]: Taking taylor expansion of PI in a 18.287 * [backup-simplify]: Simplify PI into PI 18.287 * [taylor]: Taking taylor expansion of a in a 18.287 * [backup-simplify]: Simplify 0 into 0 18.287 * [backup-simplify]: Simplify 1 into 1 18.287 * [backup-simplify]: Simplify (/ PI 1) into PI 18.287 * [taylor]: Taking taylor expansion of (/ PI b) in a 18.287 * [taylor]: Taking taylor expansion of PI in a 18.287 * [backup-simplify]: Simplify PI into PI 18.287 * [taylor]: Taking taylor expansion of b in a 18.287 * [backup-simplify]: Simplify b into b 18.288 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 18.288 * [taylor]: Taking taylor expansion of (+ a b) in a 18.288 * [taylor]: Taking taylor expansion of a in a 18.288 * [backup-simplify]: Simplify 0 into 0 18.288 * [backup-simplify]: Simplify 1 into 1 18.288 * [taylor]: Taking taylor expansion of b in a 18.288 * [backup-simplify]: Simplify b into b 18.288 * [backup-simplify]: Simplify (+ PI 0) into PI 18.288 * [backup-simplify]: Simplify (+ 0 b) into b 18.288 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 18.288 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 18.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 18.288 * [taylor]: Taking taylor expansion of 1/2 in b 18.288 * [backup-simplify]: Simplify 1/2 into 1/2 18.289 * [taylor]: Taking taylor expansion of (/ PI b) in b 18.289 * [taylor]: Taking taylor expansion of PI in b 18.289 * [backup-simplify]: Simplify PI into PI 18.289 * [taylor]: Taking taylor expansion of b in b 18.289 * [backup-simplify]: Simplify 0 into 0 18.289 * [backup-simplify]: Simplify 1 into 1 18.289 * [backup-simplify]: Simplify (/ PI 1) into PI 18.290 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 18.290 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 18.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.291 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 18.291 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 18.292 * [backup-simplify]: Simplify (+ 1 0) into 1 18.292 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ 1 b)))) into (- (* 2 (/ PI (pow b 2)))) 18.292 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ PI (pow b 2))))) (* 0 (/ PI b))) into (- (/ PI (pow b 2))) 18.292 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 18.292 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 18.292 * [taylor]: Taking taylor expansion of PI in b 18.292 * [backup-simplify]: Simplify PI into PI 18.292 * [taylor]: Taking taylor expansion of (pow b 2) in b 18.292 * [taylor]: Taking taylor expansion of b in b 18.292 * [backup-simplify]: Simplify 0 into 0 18.292 * [backup-simplify]: Simplify 1 into 1 18.293 * [backup-simplify]: Simplify (* 1 1) into 1 18.293 * [backup-simplify]: Simplify (/ PI 1) into PI 18.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.295 * [backup-simplify]: Simplify (- 0) into 0 18.295 * [backup-simplify]: Simplify 0 into 0 18.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 18.297 * [backup-simplify]: Simplify 0 into 0 18.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.298 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 18.299 * [backup-simplify]: Simplify (- 0) into 0 18.299 * [backup-simplify]: Simplify (+ 0 0) into 0 18.299 * [backup-simplify]: Simplify (+ 0 0) into 0 18.300 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2 (/ PI (pow b 3))) 18.300 * [backup-simplify]: Simplify (+ (* 1/2 (* 2 (/ PI (pow b 3)))) (+ (* 0 (- (* 2 (/ PI (pow b 2))))) (* 0 (/ PI b)))) into (/ PI (pow b 3)) 18.300 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 18.300 * [taylor]: Taking taylor expansion of PI in b 18.300 * [backup-simplify]: Simplify PI into PI 18.300 * [taylor]: Taking taylor expansion of (pow b 3) in b 18.300 * [taylor]: Taking taylor expansion of b in b 18.300 * [backup-simplify]: Simplify 0 into 0 18.300 * [backup-simplify]: Simplify 1 into 1 18.301 * [backup-simplify]: Simplify (* 1 1) into 1 18.301 * [backup-simplify]: Simplify (* 1 1) into 1 18.302 * [backup-simplify]: Simplify (/ PI 1) into PI 18.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.307 * [backup-simplify]: Simplify 0 into 0 18.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.309 * [backup-simplify]: Simplify (- 0) into 0 18.309 * [backup-simplify]: Simplify 0 into 0 18.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 18.312 * [backup-simplify]: Simplify 0 into 0 18.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.313 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 18.313 * [backup-simplify]: Simplify (- 0) into 0 18.314 * [backup-simplify]: Simplify (+ 0 0) into 0 18.314 * [backup-simplify]: Simplify (+ 0 0) into 0 18.315 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 0 b)) (* (* 2 (/ PI (pow b 3))) (/ 1 b)))) into (- (* 2 (/ PI (pow b 4)))) 18.315 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ PI (pow b 4))))) (+ (* 0 (* 2 (/ PI (pow b 3)))) (+ (* 0 (- (* 2 (/ PI (pow b 2))))) (* 0 (/ PI b))))) into (- (/ PI (pow b 4))) 18.315 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 4))) in b 18.315 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 18.315 * [taylor]: Taking taylor expansion of PI in b 18.315 * [backup-simplify]: Simplify PI into PI 18.315 * [taylor]: Taking taylor expansion of (pow b 4) in b 18.316 * [taylor]: Taking taylor expansion of b in b 18.316 * [backup-simplify]: Simplify 0 into 0 18.316 * [backup-simplify]: Simplify 1 into 1 18.316 * [backup-simplify]: Simplify (* 1 1) into 1 18.316 * [backup-simplify]: Simplify (* 1 1) into 1 18.317 * [backup-simplify]: Simplify (/ PI 1) into PI 18.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.326 * [backup-simplify]: Simplify (- 0) into 0 18.326 * [backup-simplify]: Simplify 0 into 0 18.326 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 18.326 * [backup-simplify]: Simplify (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 b) (/ 1 a))) into (* 1/2 (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a)))) 18.327 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 18.327 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a)))) in b 18.327 * [taylor]: Taking taylor expansion of 1/2 in b 18.327 * [backup-simplify]: Simplify 1/2 into 1/2 18.327 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a))) in b 18.327 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 18.327 * [taylor]: Taking taylor expansion of (* a PI) in b 18.327 * [taylor]: Taking taylor expansion of a in b 18.327 * [backup-simplify]: Simplify a into a 18.327 * [taylor]: Taking taylor expansion of PI in b 18.327 * [backup-simplify]: Simplify PI into PI 18.327 * [taylor]: Taking taylor expansion of (* PI b) in b 18.327 * [taylor]: Taking taylor expansion of PI in b 18.327 * [backup-simplify]: Simplify PI into PI 18.327 * [taylor]: Taking taylor expansion of b in b 18.327 * [backup-simplify]: Simplify 0 into 0 18.327 * [backup-simplify]: Simplify 1 into 1 18.327 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 18.327 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.327 * [taylor]: Taking taylor expansion of b in b 18.327 * [backup-simplify]: Simplify 0 into 0 18.327 * [backup-simplify]: Simplify 1 into 1 18.328 * [backup-simplify]: Simplify (/ 1 1) into 1 18.328 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.328 * [taylor]: Taking taylor expansion of a in b 18.328 * [backup-simplify]: Simplify a into a 18.328 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.328 * [backup-simplify]: Simplify (* a PI) into (* a PI) 18.328 * [backup-simplify]: Simplify (* PI 0) into 0 18.329 * [backup-simplify]: Simplify (- 0) into 0 18.329 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 18.329 * [backup-simplify]: Simplify (+ 1 0) into 1 18.329 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 18.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a)))) in a 18.329 * [taylor]: Taking taylor expansion of 1/2 in a 18.329 * [backup-simplify]: Simplify 1/2 into 1/2 18.329 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a))) in a 18.329 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 18.329 * [taylor]: Taking taylor expansion of (* a PI) in a 18.329 * [taylor]: Taking taylor expansion of a in a 18.329 * [backup-simplify]: Simplify 0 into 0 18.329 * [backup-simplify]: Simplify 1 into 1 18.329 * [taylor]: Taking taylor expansion of PI in a 18.329 * [backup-simplify]: Simplify PI into PI 18.330 * [taylor]: Taking taylor expansion of (* PI b) in a 18.330 * [taylor]: Taking taylor expansion of PI in a 18.330 * [backup-simplify]: Simplify PI into PI 18.330 * [taylor]: Taking taylor expansion of b in a 18.330 * [backup-simplify]: Simplify b into b 18.330 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 18.330 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.330 * [taylor]: Taking taylor expansion of b in a 18.330 * [backup-simplify]: Simplify b into b 18.330 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.330 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.330 * [taylor]: Taking taylor expansion of a in a 18.330 * [backup-simplify]: Simplify 0 into 0 18.330 * [backup-simplify]: Simplify 1 into 1 18.330 * [backup-simplify]: Simplify (/ 1 1) into 1 18.331 * [backup-simplify]: Simplify (* 0 PI) into 0 18.331 * [backup-simplify]: Simplify (* PI b) into (* b PI) 18.331 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 18.331 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 18.332 * [backup-simplify]: Simplify (+ 0 1) into 1 18.332 * [backup-simplify]: Simplify (/ (- (* PI b)) 1) into (* -1 (* b PI)) 18.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a)))) in a 18.332 * [taylor]: Taking taylor expansion of 1/2 in a 18.332 * [backup-simplify]: Simplify 1/2 into 1/2 18.332 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 b) (/ 1 a))) in a 18.332 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 18.332 * [taylor]: Taking taylor expansion of (* a PI) in a 18.332 * [taylor]: Taking taylor expansion of a in a 18.332 * [backup-simplify]: Simplify 0 into 0 18.332 * [backup-simplify]: Simplify 1 into 1 18.332 * [taylor]: Taking taylor expansion of PI in a 18.332 * [backup-simplify]: Simplify PI into PI 18.332 * [taylor]: Taking taylor expansion of (* PI b) in a 18.332 * [taylor]: Taking taylor expansion of PI in a 18.332 * [backup-simplify]: Simplify PI into PI 18.332 * [taylor]: Taking taylor expansion of b in a 18.332 * [backup-simplify]: Simplify b into b 18.332 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 18.332 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.332 * [taylor]: Taking taylor expansion of b in a 18.332 * [backup-simplify]: Simplify b into b 18.333 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.333 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.333 * [taylor]: Taking taylor expansion of a in a 18.333 * [backup-simplify]: Simplify 0 into 0 18.333 * [backup-simplify]: Simplify 1 into 1 18.333 * [backup-simplify]: Simplify (/ 1 1) into 1 18.333 * [backup-simplify]: Simplify (* 0 PI) into 0 18.334 * [backup-simplify]: Simplify (* PI b) into (* b PI) 18.334 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 18.334 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 18.334 * [backup-simplify]: Simplify (+ 0 1) into 1 18.334 * [backup-simplify]: Simplify (/ (- (* PI b)) 1) into (* -1 (* b PI)) 18.334 * [backup-simplify]: Simplify (* 1/2 (* -1 (* b PI))) into (* -1/2 (* PI b)) 18.334 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 18.335 * [taylor]: Taking taylor expansion of -1/2 in b 18.335 * [backup-simplify]: Simplify -1/2 into -1/2 18.335 * [taylor]: Taking taylor expansion of (* PI b) in b 18.335 * [taylor]: Taking taylor expansion of PI in b 18.335 * [backup-simplify]: Simplify PI into PI 18.335 * [taylor]: Taking taylor expansion of b in b 18.335 * [backup-simplify]: Simplify 0 into 0 18.335 * [backup-simplify]: Simplify 1 into 1 18.336 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 18.337 * [backup-simplify]: Simplify (* PI 0) into 0 18.338 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 18.339 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 18.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.341 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 18.341 * [backup-simplify]: Simplify (- 0) into 0 18.341 * [backup-simplify]: Simplify (+ PI 0) into PI 18.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.342 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 18.342 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* b PI)) (/ (/ 1 b) 1)))) into (* 2 PI) 18.343 * [backup-simplify]: Simplify (+ (* 1/2 (* 2 PI)) (* 0 (* -1 (* b PI)))) into PI 18.343 * [taylor]: Taking taylor expansion of PI in b 18.343 * [backup-simplify]: Simplify PI into PI 18.343 * [backup-simplify]: Simplify 0 into 0 18.343 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 18.344 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 18.344 * [backup-simplify]: Simplify 0 into 0 18.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.352 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 18.352 * [backup-simplify]: Simplify (- 0) into 0 18.352 * [backup-simplify]: Simplify (+ 0 0) into 0 18.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 18.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.353 * [backup-simplify]: Simplify (+ 0 0) into 0 18.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI b))) 18.354 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ PI b)))) (+ (* 0 (* 2 PI)) (* 0 (* -1 (* b PI))))) into (- (/ PI b)) 18.354 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 18.354 * [taylor]: Taking taylor expansion of (/ PI b) in b 18.354 * [taylor]: Taking taylor expansion of PI in b 18.354 * [backup-simplify]: Simplify PI into PI 18.354 * [taylor]: Taking taylor expansion of b in b 18.354 * [backup-simplify]: Simplify 0 into 0 18.355 * [backup-simplify]: Simplify 1 into 1 18.355 * [backup-simplify]: Simplify (/ PI 1) into PI 18.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.356 * [backup-simplify]: Simplify (- 0) into 0 18.356 * [backup-simplify]: Simplify 0 into 0 18.356 * [backup-simplify]: Simplify 0 into 0 18.357 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.358 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.358 * [backup-simplify]: Simplify 0 into 0 18.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.359 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 18.359 * [backup-simplify]: Simplify (- 0) into 0 18.360 * [backup-simplify]: Simplify (+ 0 0) into 0 18.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 18.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.361 * [backup-simplify]: Simplify (+ 0 0) into 0 18.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ 0 1)) (* (- (* 2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 2 (/ PI (pow b 2))) 18.362 * [backup-simplify]: Simplify (+ (* 1/2 (* 2 (/ PI (pow b 2)))) (+ (* 0 (- (* 2 (/ PI b)))) (+ (* 0 (* 2 PI)) (* 0 (* -1 (* b PI)))))) into (/ PI (pow b 2)) 18.362 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 18.362 * [taylor]: Taking taylor expansion of PI in b 18.362 * [backup-simplify]: Simplify PI into PI 18.362 * [taylor]: Taking taylor expansion of (pow b 2) in b 18.362 * [taylor]: Taking taylor expansion of b in b 18.362 * [backup-simplify]: Simplify 0 into 0 18.362 * [backup-simplify]: Simplify 1 into 1 18.363 * [backup-simplify]: Simplify (* 1 1) into 1 18.363 * [backup-simplify]: Simplify (/ PI 1) into PI 18.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.366 * [backup-simplify]: Simplify 0 into 0 18.367 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* a b))) 18.367 * [backup-simplify]: Simplify (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a)))) 18.367 * [approximate]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 18.367 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a)))) in b 18.367 * [taylor]: Taking taylor expansion of -1/2 in b 18.367 * [backup-simplify]: Simplify -1/2 into -1/2 18.367 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a))) in b 18.367 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 18.367 * [taylor]: Taking taylor expansion of (* b PI) in b 18.367 * [taylor]: Taking taylor expansion of b in b 18.367 * [backup-simplify]: Simplify 0 into 0 18.367 * [backup-simplify]: Simplify 1 into 1 18.367 * [taylor]: Taking taylor expansion of PI in b 18.367 * [backup-simplify]: Simplify PI into PI 18.368 * [taylor]: Taking taylor expansion of (* a PI) in b 18.368 * [taylor]: Taking taylor expansion of a in b 18.368 * [backup-simplify]: Simplify a into a 18.368 * [taylor]: Taking taylor expansion of PI in b 18.368 * [backup-simplify]: Simplify PI into PI 18.368 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 18.368 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.368 * [taylor]: Taking taylor expansion of b in b 18.368 * [backup-simplify]: Simplify 0 into 0 18.368 * [backup-simplify]: Simplify 1 into 1 18.368 * [backup-simplify]: Simplify (/ 1 1) into 1 18.368 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.368 * [taylor]: Taking taylor expansion of a in b 18.368 * [backup-simplify]: Simplify a into a 18.368 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.368 * [backup-simplify]: Simplify (* 0 PI) into 0 18.368 * [backup-simplify]: Simplify (* a PI) into (* a PI) 18.368 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 18.368 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 18.369 * [backup-simplify]: Simplify (+ 1 0) into 1 18.369 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 18.369 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a)))) in a 18.369 * [taylor]: Taking taylor expansion of -1/2 in a 18.369 * [backup-simplify]: Simplify -1/2 into -1/2 18.369 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a))) in a 18.369 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 18.369 * [taylor]: Taking taylor expansion of (* b PI) in a 18.369 * [taylor]: Taking taylor expansion of b in a 18.369 * [backup-simplify]: Simplify b into b 18.369 * [taylor]: Taking taylor expansion of PI in a 18.369 * [backup-simplify]: Simplify PI into PI 18.369 * [taylor]: Taking taylor expansion of (* a PI) in a 18.369 * [taylor]: Taking taylor expansion of a in a 18.369 * [backup-simplify]: Simplify 0 into 0 18.369 * [backup-simplify]: Simplify 1 into 1 18.369 * [taylor]: Taking taylor expansion of PI in a 18.369 * [backup-simplify]: Simplify PI into PI 18.369 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 18.369 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.369 * [taylor]: Taking taylor expansion of b in a 18.369 * [backup-simplify]: Simplify b into b 18.369 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.369 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.369 * [taylor]: Taking taylor expansion of a in a 18.369 * [backup-simplify]: Simplify 0 into 0 18.369 * [backup-simplify]: Simplify 1 into 1 18.369 * [backup-simplify]: Simplify (/ 1 1) into 1 18.369 * [backup-simplify]: Simplify (* b PI) into (* PI b) 18.370 * [backup-simplify]: Simplify (* 0 PI) into 0 18.370 * [backup-simplify]: Simplify (- 0) into 0 18.370 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 18.370 * [backup-simplify]: Simplify (+ 0 1) into 1 18.370 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 18.370 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a)))) in a 18.370 * [taylor]: Taking taylor expansion of -1/2 in a 18.370 * [backup-simplify]: Simplify -1/2 into -1/2 18.370 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 b) (/ 1 a))) in a 18.370 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 18.370 * [taylor]: Taking taylor expansion of (* b PI) in a 18.370 * [taylor]: Taking taylor expansion of b in a 18.371 * [backup-simplify]: Simplify b into b 18.371 * [taylor]: Taking taylor expansion of PI in a 18.371 * [backup-simplify]: Simplify PI into PI 18.371 * [taylor]: Taking taylor expansion of (* a PI) in a 18.371 * [taylor]: Taking taylor expansion of a in a 18.371 * [backup-simplify]: Simplify 0 into 0 18.371 * [backup-simplify]: Simplify 1 into 1 18.371 * [taylor]: Taking taylor expansion of PI in a 18.371 * [backup-simplify]: Simplify PI into PI 18.371 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 18.371 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.371 * [taylor]: Taking taylor expansion of b in a 18.371 * [backup-simplify]: Simplify b into b 18.371 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.371 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.371 * [taylor]: Taking taylor expansion of a in a 18.371 * [backup-simplify]: Simplify 0 into 0 18.371 * [backup-simplify]: Simplify 1 into 1 18.371 * [backup-simplify]: Simplify (/ 1 1) into 1 18.371 * [backup-simplify]: Simplify (* b PI) into (* PI b) 18.371 * [backup-simplify]: Simplify (* 0 PI) into 0 18.372 * [backup-simplify]: Simplify (- 0) into 0 18.372 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 18.372 * [backup-simplify]: Simplify (+ 0 1) into 1 18.372 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 18.372 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 18.372 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 18.372 * [taylor]: Taking taylor expansion of -1/2 in b 18.372 * [backup-simplify]: Simplify -1/2 into -1/2 18.372 * [taylor]: Taking taylor expansion of (* PI b) in b 18.372 * [taylor]: Taking taylor expansion of PI in b 18.372 * [backup-simplify]: Simplify PI into PI 18.372 * [taylor]: Taking taylor expansion of b in b 18.372 * [backup-simplify]: Simplify 0 into 0 18.372 * [backup-simplify]: Simplify 1 into 1 18.373 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 18.374 * [backup-simplify]: Simplify (* PI 0) into 0 18.375 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 18.375 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 18.376 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 18.377 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.377 * [backup-simplify]: Simplify (- PI) into (- PI) 18.378 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 18.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.378 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 18.379 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- (* 2 PI)) 18.380 * [backup-simplify]: Simplify (+ (* -1/2 (- (* 2 PI))) (* 0 (* PI b))) into PI 18.380 * [taylor]: Taking taylor expansion of PI in b 18.380 * [backup-simplify]: Simplify PI into PI 18.380 * [backup-simplify]: Simplify 0 into 0 18.381 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 18.381 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 18.381 * [backup-simplify]: Simplify 0 into 0 18.382 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 18.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.383 * [backup-simplify]: Simplify (- 0) into 0 18.383 * [backup-simplify]: Simplify (+ 0 0) into 0 18.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 18.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.384 * [backup-simplify]: Simplify (+ 0 0) into 0 18.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 b) 1)))) into (* 2 (/ PI b)) 18.386 * [backup-simplify]: Simplify (+ (* -1/2 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b)))) into (- (/ PI b)) 18.386 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 18.386 * [taylor]: Taking taylor expansion of (/ PI b) in b 18.386 * [taylor]: Taking taylor expansion of PI in b 18.386 * [backup-simplify]: Simplify PI into PI 18.386 * [taylor]: Taking taylor expansion of b in b 18.386 * [backup-simplify]: Simplify 0 into 0 18.386 * [backup-simplify]: Simplify 1 into 1 18.386 * [backup-simplify]: Simplify (/ PI 1) into PI 18.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.388 * [backup-simplify]: Simplify (- 0) into 0 18.388 * [backup-simplify]: Simplify 0 into 0 18.388 * [backup-simplify]: Simplify 0 into 0 18.388 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.389 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.389 * [backup-simplify]: Simplify 0 into 0 18.390 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.391 * [backup-simplify]: Simplify (- 0) into 0 18.391 * [backup-simplify]: Simplify (+ 0 0) into 0 18.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 18.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.392 * [backup-simplify]: Simplify (+ 0 0) into 0 18.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ 0 1)) (* (* 2 (/ PI b)) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI (pow b 2)))) 18.394 * [backup-simplify]: Simplify (+ (* -1/2 (- (* 2 (/ PI (pow b 2))))) (+ (* 0 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b))))) into (/ PI (pow b 2)) 18.394 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 18.394 * [taylor]: Taking taylor expansion of PI in b 18.394 * [backup-simplify]: Simplify PI into PI 18.394 * [taylor]: Taking taylor expansion of (pow b 2) in b 18.394 * [taylor]: Taking taylor expansion of b in b 18.394 * [backup-simplify]: Simplify 0 into 0 18.394 * [backup-simplify]: Simplify 1 into 1 18.394 * [backup-simplify]: Simplify (* 1 1) into 1 18.395 * [backup-simplify]: Simplify (/ PI 1) into PI 18.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.398 * [backup-simplify]: Simplify 0 into 0 18.399 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) 18.399 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 18.399 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 18.399 * [approximate]: Taking taylor expansion of (/ PI b) in (b) around 0 18.399 * [taylor]: Taking taylor expansion of (/ PI b) in b 18.399 * [taylor]: Taking taylor expansion of PI in b 18.399 * [backup-simplify]: Simplify PI into PI 18.399 * [taylor]: Taking taylor expansion of b in b 18.399 * [backup-simplify]: Simplify 0 into 0 18.399 * [backup-simplify]: Simplify 1 into 1 18.399 * [backup-simplify]: Simplify (/ PI 1) into PI 18.399 * [taylor]: Taking taylor expansion of (/ PI b) in b 18.400 * [taylor]: Taking taylor expansion of PI in b 18.400 * [backup-simplify]: Simplify PI into PI 18.400 * [taylor]: Taking taylor expansion of b in b 18.400 * [backup-simplify]: Simplify 0 into 0 18.400 * [backup-simplify]: Simplify 1 into 1 18.400 * [backup-simplify]: Simplify (/ PI 1) into PI 18.400 * [backup-simplify]: Simplify PI into PI 18.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.401 * [backup-simplify]: Simplify 0 into 0 18.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.401 * [backup-simplify]: Simplify 0 into 0 18.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.402 * [backup-simplify]: Simplify 0 into 0 18.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.403 * [backup-simplify]: Simplify 0 into 0 18.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.403 * [backup-simplify]: Simplify 0 into 0 18.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.404 * [backup-simplify]: Simplify 0 into 0 18.404 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 18.404 * [backup-simplify]: Simplify (/ PI (/ 1 b)) into (* b PI) 18.404 * [approximate]: Taking taylor expansion of (* b PI) in (b) around 0 18.404 * [taylor]: Taking taylor expansion of (* b PI) in b 18.404 * [taylor]: Taking taylor expansion of b in b 18.404 * [backup-simplify]: Simplify 0 into 0 18.404 * [backup-simplify]: Simplify 1 into 1 18.404 * [taylor]: Taking taylor expansion of PI in b 18.404 * [backup-simplify]: Simplify PI into PI 18.404 * [taylor]: Taking taylor expansion of (* b PI) in b 18.404 * [taylor]: Taking taylor expansion of b in b 18.404 * [backup-simplify]: Simplify 0 into 0 18.404 * [backup-simplify]: Simplify 1 into 1 18.404 * [taylor]: Taking taylor expansion of PI in b 18.404 * [backup-simplify]: Simplify PI into PI 18.405 * [backup-simplify]: Simplify (* 0 PI) into 0 18.405 * [backup-simplify]: Simplify 0 into 0 18.406 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.406 * [backup-simplify]: Simplify PI into PI 18.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.406 * [backup-simplify]: Simplify 0 into 0 18.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.407 * [backup-simplify]: Simplify 0 into 0 18.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 18.408 * [backup-simplify]: Simplify 0 into 0 18.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 18.409 * [backup-simplify]: Simplify 0 into 0 18.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 18.410 * [backup-simplify]: Simplify 0 into 0 18.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 18.411 * [backup-simplify]: Simplify 0 into 0 18.411 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 18.411 * [backup-simplify]: Simplify (/ PI (/ 1 (- b))) into (* -1 (* b PI)) 18.411 * [approximate]: Taking taylor expansion of (* -1 (* b PI)) in (b) around 0 18.411 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 18.411 * [taylor]: Taking taylor expansion of -1 in b 18.411 * [backup-simplify]: Simplify -1 into -1 18.411 * [taylor]: Taking taylor expansion of (* b PI) in b 18.411 * [taylor]: Taking taylor expansion of b in b 18.411 * [backup-simplify]: Simplify 0 into 0 18.411 * [backup-simplify]: Simplify 1 into 1 18.411 * [taylor]: Taking taylor expansion of PI in b 18.411 * [backup-simplify]: Simplify PI into PI 18.411 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 18.411 * [taylor]: Taking taylor expansion of -1 in b 18.411 * [backup-simplify]: Simplify -1 into -1 18.411 * [taylor]: Taking taylor expansion of (* b PI) in b 18.411 * [taylor]: Taking taylor expansion of b in b 18.411 * [backup-simplify]: Simplify 0 into 0 18.411 * [backup-simplify]: Simplify 1 into 1 18.411 * [taylor]: Taking taylor expansion of PI in b 18.411 * [backup-simplify]: Simplify PI into PI 18.412 * [backup-simplify]: Simplify (* 0 PI) into 0 18.412 * [backup-simplify]: Simplify (* -1 0) into 0 18.412 * [backup-simplify]: Simplify 0 into 0 18.413 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.414 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 18.414 * [backup-simplify]: Simplify (- PI) into (- PI) 18.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 18.415 * [backup-simplify]: Simplify 0 into 0 18.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.417 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.417 * [backup-simplify]: Simplify 0 into 0 18.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 18.418 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 18.418 * [backup-simplify]: Simplify 0 into 0 18.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 18.420 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 18.420 * [backup-simplify]: Simplify 0 into 0 18.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 18.422 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 18.422 * [backup-simplify]: Simplify 0 into 0 18.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 18.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 18.424 * [backup-simplify]: Simplify 0 into 0 18.425 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- b))) into (/ PI b) 18.425 * * * * [progress]: [ 4 / 4 ] generating series at (2) 18.425 * [backup-simplify]: Simplify (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (/ 1 (- b a))) into (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) 18.425 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in (a b) around 0 18.425 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in b 18.425 * [taylor]: Taking taylor expansion of 1/2 in b 18.425 * [backup-simplify]: Simplify 1/2 into 1/2 18.425 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in b 18.425 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 18.425 * [taylor]: Taking taylor expansion of (/ PI a) in b 18.425 * [taylor]: Taking taylor expansion of PI in b 18.425 * [backup-simplify]: Simplify PI into PI 18.425 * [taylor]: Taking taylor expansion of a in b 18.425 * [backup-simplify]: Simplify a into a 18.425 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 18.425 * [taylor]: Taking taylor expansion of (/ PI b) in b 18.425 * [taylor]: Taking taylor expansion of PI in b 18.425 * [backup-simplify]: Simplify PI into PI 18.425 * [taylor]: Taking taylor expansion of b in b 18.425 * [backup-simplify]: Simplify 0 into 0 18.425 * [backup-simplify]: Simplify 1 into 1 18.426 * [backup-simplify]: Simplify (/ PI 1) into PI 18.426 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 18.426 * [taylor]: Taking taylor expansion of (- b a) in b 18.426 * [taylor]: Taking taylor expansion of b in b 18.426 * [backup-simplify]: Simplify 0 into 0 18.426 * [backup-simplify]: Simplify 1 into 1 18.426 * [taylor]: Taking taylor expansion of a in b 18.426 * [backup-simplify]: Simplify a into a 18.426 * [taylor]: Taking taylor expansion of (+ a b) in b 18.426 * [taylor]: Taking taylor expansion of a in b 18.426 * [backup-simplify]: Simplify a into a 18.426 * [taylor]: Taking taylor expansion of b in b 18.426 * [backup-simplify]: Simplify 0 into 0 18.426 * [backup-simplify]: Simplify 1 into 1 18.426 * [backup-simplify]: Simplify (- PI) into (- PI) 18.427 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 18.427 * [backup-simplify]: Simplify (- a) into (- a) 18.427 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 18.427 * [backup-simplify]: Simplify (+ a 0) into a 18.427 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 18.427 * [backup-simplify]: Simplify (/ (- PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 18.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 18.427 * [taylor]: Taking taylor expansion of 1/2 in a 18.427 * [backup-simplify]: Simplify 1/2 into 1/2 18.427 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 18.427 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 18.427 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.427 * [taylor]: Taking taylor expansion of PI in a 18.427 * [backup-simplify]: Simplify PI into PI 18.427 * [taylor]: Taking taylor expansion of a in a 18.427 * [backup-simplify]: Simplify 0 into 0 18.427 * [backup-simplify]: Simplify 1 into 1 18.428 * [backup-simplify]: Simplify (/ PI 1) into PI 18.428 * [taylor]: Taking taylor expansion of (/ PI b) in a 18.428 * [taylor]: Taking taylor expansion of PI in a 18.428 * [backup-simplify]: Simplify PI into PI 18.428 * [taylor]: Taking taylor expansion of b in a 18.428 * [backup-simplify]: Simplify b into b 18.428 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 18.428 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 18.428 * [taylor]: Taking taylor expansion of (- b a) in a 18.428 * [taylor]: Taking taylor expansion of b in a 18.428 * [backup-simplify]: Simplify b into b 18.428 * [taylor]: Taking taylor expansion of a in a 18.428 * [backup-simplify]: Simplify 0 into 0 18.428 * [backup-simplify]: Simplify 1 into 1 18.428 * [taylor]: Taking taylor expansion of (+ a b) in a 18.428 * [taylor]: Taking taylor expansion of a in a 18.428 * [backup-simplify]: Simplify 0 into 0 18.428 * [backup-simplify]: Simplify 1 into 1 18.428 * [taylor]: Taking taylor expansion of b in a 18.428 * [backup-simplify]: Simplify b into b 18.428 * [backup-simplify]: Simplify (+ PI 0) into PI 18.429 * [backup-simplify]: Simplify (- 0) into 0 18.429 * [backup-simplify]: Simplify (+ b 0) into b 18.429 * [backup-simplify]: Simplify (+ 0 b) into b 18.429 * [backup-simplify]: Simplify (* b b) into (pow b 2) 18.429 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 18.429 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 18.429 * [taylor]: Taking taylor expansion of 1/2 in a 18.429 * [backup-simplify]: Simplify 1/2 into 1/2 18.429 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 18.429 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 18.429 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.429 * [taylor]: Taking taylor expansion of PI in a 18.429 * [backup-simplify]: Simplify PI into PI 18.429 * [taylor]: Taking taylor expansion of a in a 18.429 * [backup-simplify]: Simplify 0 into 0 18.429 * [backup-simplify]: Simplify 1 into 1 18.429 * [backup-simplify]: Simplify (/ PI 1) into PI 18.429 * [taylor]: Taking taylor expansion of (/ PI b) in a 18.429 * [taylor]: Taking taylor expansion of PI in a 18.429 * [backup-simplify]: Simplify PI into PI 18.429 * [taylor]: Taking taylor expansion of b in a 18.429 * [backup-simplify]: Simplify b into b 18.429 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 18.429 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 18.429 * [taylor]: Taking taylor expansion of (- b a) in a 18.429 * [taylor]: Taking taylor expansion of b in a 18.429 * [backup-simplify]: Simplify b into b 18.429 * [taylor]: Taking taylor expansion of a in a 18.429 * [backup-simplify]: Simplify 0 into 0 18.429 * [backup-simplify]: Simplify 1 into 1 18.429 * [taylor]: Taking taylor expansion of (+ a b) in a 18.429 * [taylor]: Taking taylor expansion of a in a 18.429 * [backup-simplify]: Simplify 0 into 0 18.429 * [backup-simplify]: Simplify 1 into 1 18.429 * [taylor]: Taking taylor expansion of b in a 18.430 * [backup-simplify]: Simplify b into b 18.430 * [backup-simplify]: Simplify (+ PI 0) into PI 18.430 * [backup-simplify]: Simplify (- 0) into 0 18.430 * [backup-simplify]: Simplify (+ b 0) into b 18.430 * [backup-simplify]: Simplify (+ 0 b) into b 18.430 * [backup-simplify]: Simplify (* b b) into (pow b 2) 18.430 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 18.430 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 18.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 18.430 * [taylor]: Taking taylor expansion of 1/2 in b 18.430 * [backup-simplify]: Simplify 1/2 into 1/2 18.430 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 18.430 * [taylor]: Taking taylor expansion of PI in b 18.430 * [backup-simplify]: Simplify PI into PI 18.430 * [taylor]: Taking taylor expansion of (pow b 2) in b 18.430 * [taylor]: Taking taylor expansion of b in b 18.430 * [backup-simplify]: Simplify 0 into 0 18.430 * [backup-simplify]: Simplify 1 into 1 18.431 * [backup-simplify]: Simplify (* 1 1) into 1 18.431 * [backup-simplify]: Simplify (/ PI 1) into PI 18.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 18.432 * [backup-simplify]: Simplify 0 into 0 18.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.433 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 18.433 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 18.433 * [backup-simplify]: Simplify (+ 1 0) into 1 18.434 * [backup-simplify]: Simplify (- 1) into -1 18.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.434 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 18.434 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 18.434 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 18.434 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 18.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 18.434 * [taylor]: Taking taylor expansion of 1/2 in b 18.434 * [backup-simplify]: Simplify 1/2 into 1/2 18.434 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 18.434 * [taylor]: Taking taylor expansion of PI in b 18.434 * [backup-simplify]: Simplify PI into PI 18.434 * [taylor]: Taking taylor expansion of (pow b 3) in b 18.434 * [taylor]: Taking taylor expansion of b in b 18.435 * [backup-simplify]: Simplify 0 into 0 18.435 * [backup-simplify]: Simplify 1 into 1 18.435 * [backup-simplify]: Simplify (* 1 1) into 1 18.435 * [backup-simplify]: Simplify (* 1 1) into 1 18.435 * [backup-simplify]: Simplify (/ PI 1) into PI 18.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 18.439 * [backup-simplify]: Simplify (- 0) into 0 18.439 * [backup-simplify]: Simplify 0 into 0 18.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 18.444 * [backup-simplify]: Simplify 0 into 0 18.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.444 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 18.445 * [backup-simplify]: Simplify (- 0) into 0 18.445 * [backup-simplify]: Simplify (+ 0 0) into 0 18.445 * [backup-simplify]: Simplify (+ 0 0) into 0 18.445 * [backup-simplify]: Simplify (- 0) into 0 18.446 * [backup-simplify]: Simplify (+ 0 0) into 0 18.446 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 18.446 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* (- (/ PI (pow b 3))) (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 18.447 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 18.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 18.447 * [taylor]: Taking taylor expansion of 1/2 in b 18.447 * [backup-simplify]: Simplify 1/2 into 1/2 18.447 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 18.447 * [taylor]: Taking taylor expansion of PI in b 18.447 * [backup-simplify]: Simplify PI into PI 18.447 * [taylor]: Taking taylor expansion of (pow b 4) in b 18.447 * [taylor]: Taking taylor expansion of b in b 18.447 * [backup-simplify]: Simplify 0 into 0 18.447 * [backup-simplify]: Simplify 1 into 1 18.447 * [backup-simplify]: Simplify (* 1 1) into 1 18.447 * [backup-simplify]: Simplify (* 1 1) into 1 18.448 * [backup-simplify]: Simplify (/ PI 1) into PI 18.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.453 * [backup-simplify]: Simplify 0 into 0 18.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.456 * [backup-simplify]: Simplify (- 0) into 0 18.456 * [backup-simplify]: Simplify 0 into 0 18.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.458 * [backup-simplify]: Simplify 0 into 0 18.458 * [backup-simplify]: Simplify 0 into 0 18.459 * [backup-simplify]: Simplify (* (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) 2) (+ (/ 1 b) (/ 1 a))) (/ 1 (- (/ 1 b) (/ 1 a)))) into (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) 18.459 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in (a b) around 0 18.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in b 18.459 * [taylor]: Taking taylor expansion of 1/2 in b 18.459 * [backup-simplify]: Simplify 1/2 into 1/2 18.459 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 18.459 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 18.459 * [taylor]: Taking taylor expansion of (* a PI) in b 18.459 * [taylor]: Taking taylor expansion of a in b 18.459 * [backup-simplify]: Simplify a into a 18.459 * [taylor]: Taking taylor expansion of PI in b 18.459 * [backup-simplify]: Simplify PI into PI 18.459 * [taylor]: Taking taylor expansion of (* PI b) in b 18.459 * [taylor]: Taking taylor expansion of PI in b 18.459 * [backup-simplify]: Simplify PI into PI 18.459 * [taylor]: Taking taylor expansion of b in b 18.459 * [backup-simplify]: Simplify 0 into 0 18.459 * [backup-simplify]: Simplify 1 into 1 18.459 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 18.459 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 18.459 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.459 * [taylor]: Taking taylor expansion of b in b 18.459 * [backup-simplify]: Simplify 0 into 0 18.459 * [backup-simplify]: Simplify 1 into 1 18.459 * [backup-simplify]: Simplify (/ 1 1) into 1 18.459 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.459 * [taylor]: Taking taylor expansion of a in b 18.459 * [backup-simplify]: Simplify a into a 18.459 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.459 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 18.459 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.459 * [taylor]: Taking taylor expansion of b in b 18.459 * [backup-simplify]: Simplify 0 into 0 18.459 * [backup-simplify]: Simplify 1 into 1 18.460 * [backup-simplify]: Simplify (/ 1 1) into 1 18.460 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.460 * [taylor]: Taking taylor expansion of a in b 18.460 * [backup-simplify]: Simplify a into a 18.460 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.460 * [backup-simplify]: Simplify (* a PI) into (* a PI) 18.460 * [backup-simplify]: Simplify (* PI 0) into 0 18.460 * [backup-simplify]: Simplify (- 0) into 0 18.460 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 18.461 * [backup-simplify]: Simplify (+ 1 0) into 1 18.461 * [backup-simplify]: Simplify (+ 1 0) into 1 18.461 * [backup-simplify]: Simplify (* 1 1) into 1 18.461 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 18.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in a 18.461 * [taylor]: Taking taylor expansion of 1/2 in a 18.461 * [backup-simplify]: Simplify 1/2 into 1/2 18.461 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 18.461 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 18.461 * [taylor]: Taking taylor expansion of (* a PI) in a 18.461 * [taylor]: Taking taylor expansion of a in a 18.461 * [backup-simplify]: Simplify 0 into 0 18.461 * [backup-simplify]: Simplify 1 into 1 18.461 * [taylor]: Taking taylor expansion of PI in a 18.461 * [backup-simplify]: Simplify PI into PI 18.461 * [taylor]: Taking taylor expansion of (* PI b) in a 18.461 * [taylor]: Taking taylor expansion of PI in a 18.461 * [backup-simplify]: Simplify PI into PI 18.461 * [taylor]: Taking taylor expansion of b in a 18.461 * [backup-simplify]: Simplify b into b 18.461 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 18.461 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 18.461 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.461 * [taylor]: Taking taylor expansion of b in a 18.462 * [backup-simplify]: Simplify b into b 18.462 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.462 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.462 * [taylor]: Taking taylor expansion of a in a 18.462 * [backup-simplify]: Simplify 0 into 0 18.462 * [backup-simplify]: Simplify 1 into 1 18.462 * [backup-simplify]: Simplify (/ 1 1) into 1 18.462 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 18.462 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.462 * [taylor]: Taking taylor expansion of b in a 18.462 * [backup-simplify]: Simplify b into b 18.462 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.462 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.462 * [taylor]: Taking taylor expansion of a in a 18.462 * [backup-simplify]: Simplify 0 into 0 18.462 * [backup-simplify]: Simplify 1 into 1 18.462 * [backup-simplify]: Simplify (/ 1 1) into 1 18.463 * [backup-simplify]: Simplify (* 0 PI) into 0 18.463 * [backup-simplify]: Simplify (* PI b) into (* b PI) 18.463 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 18.463 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 18.463 * [backup-simplify]: Simplify (- 1) into -1 18.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.463 * [backup-simplify]: Simplify (+ 0 1) into 1 18.464 * [backup-simplify]: Simplify (* -1 1) into -1 18.464 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 18.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in a 18.464 * [taylor]: Taking taylor expansion of 1/2 in a 18.464 * [backup-simplify]: Simplify 1/2 into 1/2 18.464 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 18.464 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 18.464 * [taylor]: Taking taylor expansion of (* a PI) in a 18.464 * [taylor]: Taking taylor expansion of a in a 18.464 * [backup-simplify]: Simplify 0 into 0 18.464 * [backup-simplify]: Simplify 1 into 1 18.464 * [taylor]: Taking taylor expansion of PI in a 18.464 * [backup-simplify]: Simplify PI into PI 18.464 * [taylor]: Taking taylor expansion of (* PI b) in a 18.464 * [taylor]: Taking taylor expansion of PI in a 18.464 * [backup-simplify]: Simplify PI into PI 18.464 * [taylor]: Taking taylor expansion of b in a 18.464 * [backup-simplify]: Simplify b into b 18.464 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 18.464 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 18.464 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.464 * [taylor]: Taking taylor expansion of b in a 18.464 * [backup-simplify]: Simplify b into b 18.464 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.464 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.464 * [taylor]: Taking taylor expansion of a in a 18.464 * [backup-simplify]: Simplify 0 into 0 18.464 * [backup-simplify]: Simplify 1 into 1 18.464 * [backup-simplify]: Simplify (/ 1 1) into 1 18.465 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 18.465 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.465 * [taylor]: Taking taylor expansion of b in a 18.465 * [backup-simplify]: Simplify b into b 18.465 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.465 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.465 * [taylor]: Taking taylor expansion of a in a 18.465 * [backup-simplify]: Simplify 0 into 0 18.465 * [backup-simplify]: Simplify 1 into 1 18.465 * [backup-simplify]: Simplify (/ 1 1) into 1 18.465 * [backup-simplify]: Simplify (* 0 PI) into 0 18.465 * [backup-simplify]: Simplify (* PI b) into (* b PI) 18.465 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 18.465 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 18.466 * [backup-simplify]: Simplify (- 1) into -1 18.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.466 * [backup-simplify]: Simplify (+ 0 1) into 1 18.466 * [backup-simplify]: Simplify (* -1 1) into -1 18.467 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 18.467 * [backup-simplify]: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) 18.467 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 18.467 * [taylor]: Taking taylor expansion of 1/2 in b 18.467 * [backup-simplify]: Simplify 1/2 into 1/2 18.467 * [taylor]: Taking taylor expansion of (* b PI) in b 18.467 * [taylor]: Taking taylor expansion of b in b 18.467 * [backup-simplify]: Simplify 0 into 0 18.467 * [backup-simplify]: Simplify 1 into 1 18.467 * [taylor]: Taking taylor expansion of PI in b 18.467 * [backup-simplify]: Simplify PI into PI 18.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.468 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.469 * [backup-simplify]: Simplify (* 0 PI) into 0 18.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 18.469 * [backup-simplify]: Simplify 0 into 0 18.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.471 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 18.471 * [backup-simplify]: Simplify (- 0) into 0 18.471 * [backup-simplify]: Simplify (+ PI 0) into PI 18.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.472 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 18.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.472 * [backup-simplify]: Simplify (- 0) into 0 18.472 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 18.473 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 18.473 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ 0 -1)))) into (- PI) 18.474 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) 18.474 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 18.474 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 18.474 * [taylor]: Taking taylor expansion of 1/2 in b 18.474 * [backup-simplify]: Simplify 1/2 into 1/2 18.474 * [taylor]: Taking taylor expansion of PI in b 18.474 * [backup-simplify]: Simplify PI into PI 18.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 18.475 * [backup-simplify]: Simplify (- 0) into 0 18.475 * [backup-simplify]: Simplify 0 into 0 18.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.476 * [backup-simplify]: Simplify 0 into 0 18.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.477 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 18.478 * [backup-simplify]: Simplify (- 0) into 0 18.478 * [backup-simplify]: Simplify (+ 0 0) into 0 18.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 18.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.479 * [backup-simplify]: Simplify (+ 0 0) into 0 18.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 18.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.480 * [backup-simplify]: Simplify (- 0) into 0 18.480 * [backup-simplify]: Simplify (+ 0 0) into 0 18.481 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 18.481 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 18.482 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) 18.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 18.482 * [taylor]: Taking taylor expansion of 1/2 in b 18.482 * [backup-simplify]: Simplify 1/2 into 1/2 18.482 * [taylor]: Taking taylor expansion of (/ PI b) in b 18.482 * [taylor]: Taking taylor expansion of PI in b 18.482 * [backup-simplify]: Simplify PI into PI 18.482 * [taylor]: Taking taylor expansion of b in b 18.482 * [backup-simplify]: Simplify 0 into 0 18.482 * [backup-simplify]: Simplify 1 into 1 18.482 * [backup-simplify]: Simplify (/ PI 1) into PI 18.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.485 * [backup-simplify]: Simplify 0 into 0 18.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.486 * [backup-simplify]: Simplify (- 0) into 0 18.486 * [backup-simplify]: Simplify 0 into 0 18.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 18.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 18.488 * [backup-simplify]: Simplify 0 into 0 18.488 * [backup-simplify]: Simplify 0 into 0 18.488 * [backup-simplify]: Simplify (* (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) 2) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) 18.488 * [approximate]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in (a b) around 0 18.488 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in b 18.488 * [taylor]: Taking taylor expansion of -1/2 in b 18.488 * [backup-simplify]: Simplify -1/2 into -1/2 18.488 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in b 18.488 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 18.488 * [taylor]: Taking taylor expansion of (* b PI) in b 18.488 * [taylor]: Taking taylor expansion of b in b 18.488 * [backup-simplify]: Simplify 0 into 0 18.488 * [backup-simplify]: Simplify 1 into 1 18.488 * [taylor]: Taking taylor expansion of PI in b 18.488 * [backup-simplify]: Simplify PI into PI 18.488 * [taylor]: Taking taylor expansion of (* a PI) in b 18.488 * [taylor]: Taking taylor expansion of a in b 18.488 * [backup-simplify]: Simplify a into a 18.488 * [taylor]: Taking taylor expansion of PI in b 18.488 * [backup-simplify]: Simplify PI into PI 18.488 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in b 18.488 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 18.488 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.488 * [taylor]: Taking taylor expansion of a in b 18.488 * [backup-simplify]: Simplify a into a 18.488 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.488 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.488 * [taylor]: Taking taylor expansion of b in b 18.488 * [backup-simplify]: Simplify 0 into 0 18.488 * [backup-simplify]: Simplify 1 into 1 18.489 * [backup-simplify]: Simplify (/ 1 1) into 1 18.489 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 18.489 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.489 * [taylor]: Taking taylor expansion of b in b 18.489 * [backup-simplify]: Simplify 0 into 0 18.489 * [backup-simplify]: Simplify 1 into 1 18.489 * [backup-simplify]: Simplify (/ 1 1) into 1 18.489 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.489 * [taylor]: Taking taylor expansion of a in b 18.489 * [backup-simplify]: Simplify a into a 18.489 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.489 * [backup-simplify]: Simplify (* 0 PI) into 0 18.489 * [backup-simplify]: Simplify (* a PI) into (* a PI) 18.489 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 18.489 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 18.490 * [backup-simplify]: Simplify (- 1) into -1 18.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.490 * [backup-simplify]: Simplify (+ 1 0) into 1 18.490 * [backup-simplify]: Simplify (* -1 1) into -1 18.491 * [backup-simplify]: Simplify (/ (- (* a PI)) -1) into (* a PI) 18.491 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in a 18.491 * [taylor]: Taking taylor expansion of -1/2 in a 18.491 * [backup-simplify]: Simplify -1/2 into -1/2 18.491 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in a 18.491 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 18.491 * [taylor]: Taking taylor expansion of (* b PI) in a 18.491 * [taylor]: Taking taylor expansion of b in a 18.491 * [backup-simplify]: Simplify b into b 18.491 * [taylor]: Taking taylor expansion of PI in a 18.491 * [backup-simplify]: Simplify PI into PI 18.491 * [taylor]: Taking taylor expansion of (* a PI) in a 18.491 * [taylor]: Taking taylor expansion of a in a 18.491 * [backup-simplify]: Simplify 0 into 0 18.491 * [backup-simplify]: Simplify 1 into 1 18.491 * [taylor]: Taking taylor expansion of PI in a 18.491 * [backup-simplify]: Simplify PI into PI 18.491 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 18.491 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 18.491 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.491 * [taylor]: Taking taylor expansion of a in a 18.491 * [backup-simplify]: Simplify 0 into 0 18.491 * [backup-simplify]: Simplify 1 into 1 18.491 * [backup-simplify]: Simplify (/ 1 1) into 1 18.491 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.491 * [taylor]: Taking taylor expansion of b in a 18.491 * [backup-simplify]: Simplify b into b 18.491 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.491 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 18.491 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.491 * [taylor]: Taking taylor expansion of b in a 18.491 * [backup-simplify]: Simplify b into b 18.491 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.491 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.491 * [taylor]: Taking taylor expansion of a in a 18.491 * [backup-simplify]: Simplify 0 into 0 18.491 * [backup-simplify]: Simplify 1 into 1 18.492 * [backup-simplify]: Simplify (/ 1 1) into 1 18.492 * [backup-simplify]: Simplify (* b PI) into (* PI b) 18.492 * [backup-simplify]: Simplify (* 0 PI) into 0 18.492 * [backup-simplify]: Simplify (- 0) into 0 18.492 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 18.493 * [backup-simplify]: Simplify (+ 1 0) into 1 18.493 * [backup-simplify]: Simplify (+ 0 1) into 1 18.493 * [backup-simplify]: Simplify (* 1 1) into 1 18.493 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 18.493 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in a 18.493 * [taylor]: Taking taylor expansion of -1/2 in a 18.493 * [backup-simplify]: Simplify -1/2 into -1/2 18.493 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in a 18.493 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 18.493 * [taylor]: Taking taylor expansion of (* b PI) in a 18.493 * [taylor]: Taking taylor expansion of b in a 18.493 * [backup-simplify]: Simplify b into b 18.493 * [taylor]: Taking taylor expansion of PI in a 18.493 * [backup-simplify]: Simplify PI into PI 18.493 * [taylor]: Taking taylor expansion of (* a PI) in a 18.493 * [taylor]: Taking taylor expansion of a in a 18.493 * [backup-simplify]: Simplify 0 into 0 18.493 * [backup-simplify]: Simplify 1 into 1 18.493 * [taylor]: Taking taylor expansion of PI in a 18.493 * [backup-simplify]: Simplify PI into PI 18.493 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 18.493 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 18.493 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.493 * [taylor]: Taking taylor expansion of a in a 18.493 * [backup-simplify]: Simplify 0 into 0 18.493 * [backup-simplify]: Simplify 1 into 1 18.494 * [backup-simplify]: Simplify (/ 1 1) into 1 18.494 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.494 * [taylor]: Taking taylor expansion of b in a 18.494 * [backup-simplify]: Simplify b into b 18.494 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.494 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 18.494 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.494 * [taylor]: Taking taylor expansion of b in a 18.494 * [backup-simplify]: Simplify b into b 18.494 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.494 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.494 * [taylor]: Taking taylor expansion of a in a 18.494 * [backup-simplify]: Simplify 0 into 0 18.494 * [backup-simplify]: Simplify 1 into 1 18.494 * [backup-simplify]: Simplify (/ 1 1) into 1 18.494 * [backup-simplify]: Simplify (* b PI) into (* PI b) 18.495 * [backup-simplify]: Simplify (* 0 PI) into 0 18.495 * [backup-simplify]: Simplify (- 0) into 0 18.495 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 18.495 * [backup-simplify]: Simplify (+ 1 0) into 1 18.495 * [backup-simplify]: Simplify (+ 0 1) into 1 18.496 * [backup-simplify]: Simplify (* 1 1) into 1 18.496 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 18.496 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 18.496 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 18.496 * [taylor]: Taking taylor expansion of -1/2 in b 18.496 * [backup-simplify]: Simplify -1/2 into -1/2 18.496 * [taylor]: Taking taylor expansion of (* PI b) in b 18.496 * [taylor]: Taking taylor expansion of PI in b 18.496 * [backup-simplify]: Simplify PI into PI 18.496 * [taylor]: Taking taylor expansion of b in b 18.496 * [backup-simplify]: Simplify 0 into 0 18.496 * [backup-simplify]: Simplify 1 into 1 18.497 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 18.498 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 18.498 * [backup-simplify]: Simplify (* PI 0) into 0 18.498 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 18.498 * [backup-simplify]: Simplify 0 into 0 18.499 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 18.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.500 * [backup-simplify]: Simplify (- PI) into (- PI) 18.501 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 18.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.501 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 18.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.502 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 18.502 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 18.502 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (- (/ 1 b)) 1)) into 0 18.503 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 18.504 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 18.504 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 18.504 * [taylor]: Taking taylor expansion of 1/2 in b 18.504 * [backup-simplify]: Simplify 1/2 into 1/2 18.504 * [taylor]: Taking taylor expansion of PI in b 18.504 * [backup-simplify]: Simplify PI into PI 18.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 18.505 * [backup-simplify]: Simplify 0 into 0 18.505 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.506 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.506 * [backup-simplify]: Simplify 0 into 0 18.507 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 18.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.508 * [backup-simplify]: Simplify (- 0) into 0 18.508 * [backup-simplify]: Simplify (+ 0 0) into 0 18.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 18.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.509 * [backup-simplify]: Simplify (+ 0 0) into 0 18.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 18.510 * [backup-simplify]: Simplify (- 0) into 0 18.510 * [backup-simplify]: Simplify (+ 0 0) into 0 18.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) (/ 1 b)) (* 0 1))) into (- (/ 1 (pow b 2))) 18.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 18.512 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 18.512 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 18.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 18.512 * [taylor]: Taking taylor expansion of 1/2 in b 18.512 * [backup-simplify]: Simplify 1/2 into 1/2 18.512 * [taylor]: Taking taylor expansion of (/ PI b) in b 18.512 * [taylor]: Taking taylor expansion of PI in b 18.512 * [backup-simplify]: Simplify PI into PI 18.512 * [taylor]: Taking taylor expansion of b in b 18.512 * [backup-simplify]: Simplify 0 into 0 18.512 * [backup-simplify]: Simplify 1 into 1 18.512 * [backup-simplify]: Simplify (/ PI 1) into PI 18.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.515 * [backup-simplify]: Simplify (- 0) into 0 18.515 * [backup-simplify]: Simplify 0 into 0 18.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.516 * [backup-simplify]: Simplify 0 into 0 18.517 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.518 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 18.518 * [backup-simplify]: Simplify 0 into 0 18.518 * [backup-simplify]: Simplify 0 into 0 18.518 * * * [progress]: simplifying candidates 18.518 * * * * [progress]: [ 1 / 527 ] simplifiying candidate # 18.518 * * * * [progress]: [ 2 / 527 ] simplifiying candidate # 18.518 * * * * [progress]: [ 3 / 527 ] simplifiying candidate # 18.518 * * * * [progress]: [ 4 / 527 ] simplifiying candidate # 18.518 * * * * [progress]: 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* * * [progress]: [ 35 / 527 ] simplifiying candidate # 18.519 * * * * [progress]: [ 36 / 527 ] simplifiying candidate # 18.519 * * * * [progress]: [ 37 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 38 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 39 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 40 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 41 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 42 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 43 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 44 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 45 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 46 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 47 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 48 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 49 / 527 ] simplifiying candidate # 18.520 * * * * [progress]: [ 50 / 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(/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (/ 1 (- b a))))))> 18.547 * * * * [progress]: [ 515 / 527 ] simplifiying candidate # 18.548 * * * * [progress]: [ 516 / 527 ] simplifiying candidate # 18.548 * * * * [progress]: [ 517 / 527 ] simplifiying candidate # 18.548 * * * * [progress]: [ 518 / 527 ] simplifiying candidate # 18.548 * * * * [progress]: [ 519 / 527 ] simplifiying candidate # 18.548 * * * * [progress]: [ 520 / 527 ] simplifiying candidate # 18.548 * * * * [progress]: [ 521 / 527 ] simplifiying candidate # 18.548 * * * * [progress]: [ 522 / 527 ] simplifiying candidate # 18.548 * * * * [progress]: [ 523 / 527 ] simplifiying candidate # 18.548 * * * * [progress]: [ 524 / 527 ] simplifiying candidate # 18.548 * * * * [progress]: [ 525 / 527 ] simplifiying candidate # 18.548 * * * * [progress]: [ 526 / 527 ] simplifiying candidate # 18.548 * * * * [progress]: [ 527 / 527 ] simplifiying candidate # 18.565 * [simplify]: Simplifying: (expm1 (/ PI a)) (log1p (/ PI a)) (- (log PI) (log a)) (log (/ PI a)) (exp (/ PI a)) (/ (* (* PI PI) PI) (* (* a a) a)) (* (cbrt (/ PI a)) (cbrt (/ PI a))) (cbrt (/ PI a)) (* (* (/ PI a) (/ PI a)) (/ PI a)) (sqrt (/ PI a)) (sqrt (/ PI a)) (- PI) (- a) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt a) (cbrt a))) (/ (cbrt PI) (cbrt a)) (/ (* (cbrt PI) (cbrt PI)) (sqrt a)) (/ (cbrt PI) (sqrt a)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) a) (/ (sqrt PI) (* (cbrt a) (cbrt a))) (/ (sqrt PI) (cbrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) 1) (/ (sqrt PI) a) (/ 1 (* (cbrt a) (cbrt a))) (/ PI (cbrt a)) (/ 1 (sqrt a)) (/ PI (sqrt a)) (/ 1 1) (/ PI a) (/ 1 a) (/ a PI) (/ PI (* (cbrt a) (cbrt a))) (/ PI (sqrt a)) (/ PI 1) (/ a (cbrt PI)) (/ a (sqrt PI)) (/ a PI) (real->posit16 (/ PI a)) (expm1 (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (log1p (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (- (- (log (- (/ PI a) (/ PI b))) (log 2)) (log (+ b a))) (- (log (/ (- (/ PI a) (/ PI b)) 2)) (log (+ b a))) (log (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (exp (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (/ (/ (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) (* (* 2 2) 2)) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* (/ (- (/ PI a) (/ PI b)) 2) (/ (- (/ PI a) (/ PI b)) 2)) (/ (- (/ PI a) (/ PI b)) 2)) (* (* (+ b a) (+ b a)) (+ b a))) (* (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)))) (cbrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (* (* (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (sqrt (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a))) (- (/ (- (/ PI a) (/ PI b)) 2)) (- (+ b a)) (/ (/ (/ PI a) 2) (+ b a)) (/ (/ (/ PI b) 2) (+ b a)) (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) (sqrt (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) (/ (* (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (/ (- (/ PI a) (/ PI b)) 2))) 1) (/ (cbrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (cbrt (+ b a))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (sqrt (+ b a))) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) 1) (/ (sqrt (/ (- (/ PI a) (/ PI b)) 2)) (+ b a)) (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (* (cbrt 2) (cbrt 2))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt 2)) (cbrt (+ b a))) (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) 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PI a) (/ PI b)) (cbrt (+ b a))) 2) (- b a)) (/ (/ (- (/ PI a) (/ PI b)) (* (sqrt (+ b a)) 2)) (- b a)) (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) 2) (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) 2) (/ (/ 1/2 (cbrt (+ b a))) (- b a)) (/ (/ 1/2 (sqrt (+ b a))) (- b a)) (/ (/ 1/2 (+ b a)) (- b a)) (/ (/ 1/2 (+ b a)) (- b a)) (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) 2) (/ 1 (* (+ b a) (- b a))) (/ (fma a (- a b) (* b b)) (- b a)) 1 (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) 2) (/ (/ (- (/ PI a) (/ PI b)) 2) (- b a)) (real->posit16 (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) 2)) (/ PI a) (/ PI a) (/ PI a) (* 1/2 (/ PI (* b a))) (* (/ -1/2 a) (/ PI b)) (* (/ -1/2 a) (/ PI b)) (/ PI b) (/ PI b) (/ PI b) 0 0 0 20.197 * * * [progress]: adding candidates to table 22.669 * [progress]: [Phase 3 of 3] Extracting. 22.669 * * [regime]: Finding splitpoints for: (# # # # # # #) 22.673 * * * [regime-changes]: Trying 2 branch expressions: (b a) 22.673 * * * * [regimes]: Trying to branch on b from (# # # # # # #) 22.745 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 22.821 * * * [regime]: Found split indices: #