6.578 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.058 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.058 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.058 * * [simplify]: iteration 0: 15 enodes 0.064 * * [simplify]: iteration 1: 32 enodes 0.078 * * [simplify]: iteration 2: 94 enodes 0.120 * * [simplify]: iteration 3: 358 enodes 0.634 * * [simplify]: iteration 4: 1476 enodes 1.752 * * [simplify]: iteration complete: 5002 enodes 1.752 * * [simplify]: Extracting #0: cost 1 inf + 0 1.753 * * [simplify]: Extracting #1: cost 109 inf + 0 1.755 * * [simplify]: Extracting #2: cost 770 inf + 3 1.760 * * [simplify]: Extracting #3: cost 1369 inf + 8904 1.784 * * [simplify]: Extracting #4: cost 906 inf + 96623 1.841 * * [simplify]: Extracting #5: cost 117 inf + 235172 1.926 * * [simplify]: Extracting #6: cost 0 inf + 261572 2.040 * [simplify]: Simplified to: (/ (+ (/ (/ (/ PI (+ a b)) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b))) (- b a)) 2.049 * * [progress]: iteration 1 / 4 2.049 * * * [progress]: picking best candidate 2.059 * * * * [pick]: Picked # 2.059 * * * [progress]: localizing error 2.111 * * * [progress]: generating rewritten candidates 2.111 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 1) 2.144 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 2.156 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 2.204 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.328 * * * [progress]: generating series expansions 2.328 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 1) 2.335 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 2.335 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 2.336 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 2.336 * [taylor]: Taking taylor expansion of PI in b 2.336 * [backup-simplify]: Simplify PI into PI 2.336 * [taylor]: Taking taylor expansion of (+ a b) in b 2.336 * [taylor]: Taking taylor expansion of a in b 2.336 * [backup-simplify]: Simplify a into a 2.336 * [taylor]: Taking taylor expansion of b in b 2.336 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify 1 into 1 2.337 * [backup-simplify]: Simplify (+ a 0) into a 2.337 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.337 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.337 * [taylor]: Taking taylor expansion of PI in a 2.337 * [backup-simplify]: Simplify PI into PI 2.337 * [taylor]: Taking taylor expansion of (+ a b) in a 2.337 * [taylor]: Taking taylor expansion of a in a 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 1 into 1 2.337 * [taylor]: Taking taylor expansion of b in a 2.337 * [backup-simplify]: Simplify b into b 2.337 * [backup-simplify]: Simplify (+ 0 b) into b 2.337 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.337 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.337 * [taylor]: Taking taylor expansion of PI in a 2.338 * [backup-simplify]: Simplify PI into PI 2.338 * [taylor]: Taking taylor expansion of (+ a b) in a 2.338 * [taylor]: Taking taylor expansion of a in a 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 1 into 1 2.338 * [taylor]: Taking taylor expansion of b in a 2.338 * [backup-simplify]: Simplify b into b 2.338 * [backup-simplify]: Simplify (+ 0 b) into b 2.338 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.338 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.338 * [taylor]: Taking taylor expansion of PI in b 2.338 * [backup-simplify]: Simplify PI into PI 2.338 * [taylor]: Taking taylor expansion of b in b 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (/ PI 1) into PI 2.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify (+ 1 0) into 1 2.342 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.342 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 2.342 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.342 * [taylor]: Taking taylor expansion of PI in b 2.342 * [backup-simplify]: Simplify PI into PI 2.342 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.342 * [taylor]: Taking taylor expansion of b in b 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.343 * [backup-simplify]: Simplify (* 1 1) into 1 2.343 * [backup-simplify]: Simplify (/ PI 1) into PI 2.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (- 0) into 0 2.348 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (+ 0 0) into 0 2.350 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.350 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.350 * [taylor]: Taking taylor expansion of PI in b 2.351 * [backup-simplify]: Simplify PI into PI 2.351 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.351 * [taylor]: Taking taylor expansion of b in b 2.351 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify 1 into 1 2.351 * [backup-simplify]: Simplify (* 1 1) into 1 2.352 * [backup-simplify]: Simplify (* 1 1) into 1 2.352 * [backup-simplify]: Simplify (/ PI 1) into PI 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (- 0) into 0 2.363 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 2.365 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 2.365 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.365 * [taylor]: Taking taylor expansion of PI in b 2.365 * [backup-simplify]: Simplify PI into PI 2.365 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.365 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.365 * [taylor]: Taking taylor expansion of a in b 2.365 * [backup-simplify]: Simplify a into a 2.365 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.365 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.365 * [taylor]: Taking taylor expansion of b in b 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (/ 1 1) into 1 2.366 * [backup-simplify]: Simplify (+ 0 1) into 1 2.367 * [backup-simplify]: Simplify (/ PI 1) into PI 2.367 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.367 * [taylor]: Taking taylor expansion of PI in a 2.367 * [backup-simplify]: Simplify PI into PI 2.367 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.367 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.367 * [taylor]: Taking taylor expansion of a in a 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [backup-simplify]: Simplify (/ 1 1) into 1 2.367 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.367 * [taylor]: Taking taylor expansion of b in a 2.367 * [backup-simplify]: Simplify b into b 2.367 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.368 * [backup-simplify]: Simplify (+ 1 0) into 1 2.368 * [backup-simplify]: Simplify (/ PI 1) into PI 2.368 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.368 * [taylor]: Taking taylor expansion of PI in a 2.368 * [backup-simplify]: Simplify PI into PI 2.368 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.368 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.368 * [taylor]: Taking taylor expansion of a in a 2.368 * [backup-simplify]: Simplify 0 into 0 2.368 * [backup-simplify]: Simplify 1 into 1 2.368 * [backup-simplify]: Simplify (/ 1 1) into 1 2.368 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.368 * [taylor]: Taking taylor expansion of b in a 2.369 * [backup-simplify]: Simplify b into b 2.369 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.369 * [backup-simplify]: Simplify (+ 1 0) into 1 2.369 * [backup-simplify]: Simplify (/ PI 1) into PI 2.369 * [taylor]: Taking taylor expansion of PI in b 2.369 * [backup-simplify]: Simplify PI into PI 2.369 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.370 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.370 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 2.370 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.370 * [taylor]: Taking taylor expansion of PI in b 2.370 * [backup-simplify]: Simplify PI into PI 2.370 * [taylor]: Taking taylor expansion of b in b 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify 1 into 1 2.371 * [backup-simplify]: Simplify (/ PI 1) into PI 2.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify (- 0) into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.373 * [backup-simplify]: Simplify (+ 0 0) into 0 2.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.374 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.374 * [taylor]: Taking taylor expansion of PI in b 2.374 * [backup-simplify]: Simplify PI into PI 2.374 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.374 * [taylor]: Taking taylor expansion of b in b 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify 1 into 1 2.374 * [backup-simplify]: Simplify (* 1 1) into 1 2.375 * [backup-simplify]: Simplify (/ PI 1) into PI 2.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.379 * [backup-simplify]: Simplify (- 0) into 0 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.379 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.379 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.379 * [taylor]: Taking taylor expansion of -1 in b 2.379 * [backup-simplify]: Simplify -1 into -1 2.379 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.379 * [taylor]: Taking taylor expansion of PI in b 2.379 * [backup-simplify]: Simplify PI into PI 2.379 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.379 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.379 * [taylor]: Taking taylor expansion of a in b 2.379 * [backup-simplify]: Simplify a into a 2.379 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.379 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.379 * [taylor]: Taking taylor expansion of b in b 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify 1 into 1 2.380 * [backup-simplify]: Simplify (/ 1 1) into 1 2.380 * [backup-simplify]: Simplify (+ 0 1) into 1 2.380 * [backup-simplify]: Simplify (/ PI 1) into PI 2.380 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.380 * [taylor]: Taking taylor expansion of -1 in a 2.380 * [backup-simplify]: Simplify -1 into -1 2.380 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.380 * [taylor]: Taking taylor expansion of PI in a 2.380 * [backup-simplify]: Simplify PI into PI 2.380 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.380 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.380 * [taylor]: Taking taylor expansion of a in a 2.380 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.381 * [backup-simplify]: Simplify (/ 1 1) into 1 2.381 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.381 * [taylor]: Taking taylor expansion of b in a 2.381 * [backup-simplify]: Simplify b into b 2.381 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.381 * [backup-simplify]: Simplify (+ 1 0) into 1 2.381 * [backup-simplify]: Simplify (/ PI 1) into PI 2.381 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.382 * [taylor]: Taking taylor expansion of -1 in a 2.382 * [backup-simplify]: Simplify -1 into -1 2.382 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.382 * [taylor]: Taking taylor expansion of PI in a 2.382 * [backup-simplify]: Simplify PI into PI 2.382 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.382 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.382 * [taylor]: Taking taylor expansion of a in a 2.382 * [backup-simplify]: Simplify 0 into 0 2.382 * [backup-simplify]: Simplify 1 into 1 2.382 * [backup-simplify]: Simplify (/ 1 1) into 1 2.382 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.382 * [taylor]: Taking taylor expansion of b in a 2.382 * [backup-simplify]: Simplify b into b 2.382 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.382 * [backup-simplify]: Simplify (+ 1 0) into 1 2.383 * [backup-simplify]: Simplify (/ PI 1) into PI 2.383 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 2.383 * [taylor]: Taking taylor expansion of (* -1 PI) in b 2.383 * [taylor]: Taking taylor expansion of -1 in b 2.383 * [backup-simplify]: Simplify -1 into -1 2.383 * [taylor]: Taking taylor expansion of PI in b 2.383 * [backup-simplify]: Simplify PI into PI 2.384 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 2.384 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.385 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 2.385 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.385 * [taylor]: Taking taylor expansion of PI in b 2.385 * [backup-simplify]: Simplify PI into PI 2.385 * [taylor]: Taking taylor expansion of b in b 2.385 * [backup-simplify]: Simplify 0 into 0 2.385 * [backup-simplify]: Simplify 1 into 1 2.385 * [backup-simplify]: Simplify (/ PI 1) into PI 2.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 2.387 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.388 * [backup-simplify]: Simplify (+ 0 0) into 0 2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.390 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 2.390 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 2.390 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.390 * [taylor]: Taking taylor expansion of PI in b 2.390 * [backup-simplify]: Simplify PI into PI 2.390 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.390 * [taylor]: Taking taylor expansion of b in b 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (* 1 1) into 1 2.390 * [backup-simplify]: Simplify (/ PI 1) into PI 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (- 0) into 0 2.394 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 2.396 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 2.396 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 2.396 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 2.396 * [taylor]: Taking taylor expansion of PI in b 2.396 * [backup-simplify]: Simplify PI into PI 2.396 * [taylor]: Taking taylor expansion of (+ a b) in b 2.396 * [taylor]: Taking taylor expansion of a in b 2.396 * [backup-simplify]: Simplify a into a 2.396 * [taylor]: Taking taylor expansion of b in b 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (+ a 0) into a 2.396 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.396 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.396 * [taylor]: Taking taylor expansion of PI in a 2.396 * [backup-simplify]: Simplify PI into PI 2.396 * [taylor]: Taking taylor expansion of (+ a b) in a 2.396 * [taylor]: Taking taylor expansion of a in a 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [taylor]: Taking taylor expansion of b in a 2.396 * [backup-simplify]: Simplify b into b 2.396 * [backup-simplify]: Simplify (+ 0 b) into b 2.396 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.396 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.396 * [taylor]: Taking taylor expansion of PI in a 2.396 * [backup-simplify]: Simplify PI into PI 2.396 * [taylor]: Taking taylor expansion of (+ a b) in a 2.396 * [taylor]: Taking taylor expansion of a in a 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [taylor]: Taking taylor expansion of b in a 2.396 * [backup-simplify]: Simplify b into b 2.397 * [backup-simplify]: Simplify (+ 0 b) into b 2.397 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.397 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.397 * [taylor]: Taking taylor expansion of PI in b 2.397 * [backup-simplify]: Simplify PI into PI 2.397 * [taylor]: Taking taylor expansion of b in b 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 1 into 1 2.397 * [backup-simplify]: Simplify (/ PI 1) into PI 2.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify (+ 1 0) into 1 2.398 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.398 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 2.398 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.398 * [taylor]: Taking taylor expansion of PI in b 2.398 * [backup-simplify]: Simplify PI into PI 2.398 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.398 * [taylor]: Taking taylor expansion of b in b 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.399 * [backup-simplify]: Simplify (* 1 1) into 1 2.399 * [backup-simplify]: Simplify (/ PI 1) into PI 2.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.401 * [backup-simplify]: Simplify (- 0) into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (+ 0 0) into 0 2.403 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.403 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.403 * [taylor]: Taking taylor expansion of PI in b 2.403 * [backup-simplify]: Simplify PI into PI 2.403 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.403 * [taylor]: Taking taylor expansion of b in b 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify (* 1 1) into 1 2.403 * [backup-simplify]: Simplify (* 1 1) into 1 2.404 * [backup-simplify]: Simplify (/ PI 1) into PI 2.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (- 0) into 0 2.416 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 2.418 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 2.418 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.418 * [taylor]: Taking taylor expansion of PI in b 2.418 * [backup-simplify]: Simplify PI into PI 2.418 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.418 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.418 * [taylor]: Taking taylor expansion of a in b 2.418 * [backup-simplify]: Simplify a into a 2.418 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.418 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.418 * [taylor]: Taking taylor expansion of b in b 2.418 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify 1 into 1 2.419 * [backup-simplify]: Simplify (/ 1 1) into 1 2.419 * [backup-simplify]: Simplify (+ 0 1) into 1 2.420 * [backup-simplify]: Simplify (/ PI 1) into PI 2.420 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.420 * [taylor]: Taking taylor expansion of PI in a 2.420 * [backup-simplify]: Simplify PI into PI 2.420 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.420 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.420 * [taylor]: Taking taylor expansion of a in a 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify 1 into 1 2.420 * [backup-simplify]: Simplify (/ 1 1) into 1 2.420 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.420 * [taylor]: Taking taylor expansion of b in a 2.420 * [backup-simplify]: Simplify b into b 2.420 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.421 * [backup-simplify]: Simplify (+ 1 0) into 1 2.421 * [backup-simplify]: Simplify (/ PI 1) into PI 2.421 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.421 * [taylor]: Taking taylor expansion of PI in a 2.421 * [backup-simplify]: Simplify PI into PI 2.421 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.422 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.422 * [taylor]: Taking taylor expansion of a in a 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.422 * [backup-simplify]: Simplify (/ 1 1) into 1 2.422 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.422 * [taylor]: Taking taylor expansion of b in a 2.422 * [backup-simplify]: Simplify b into b 2.422 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.423 * [backup-simplify]: Simplify (+ 1 0) into 1 2.423 * [backup-simplify]: Simplify (/ PI 1) into PI 2.423 * [taylor]: Taking taylor expansion of PI in b 2.423 * [backup-simplify]: Simplify PI into PI 2.423 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.424 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.425 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 2.425 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.425 * [taylor]: Taking taylor expansion of PI in b 2.425 * [backup-simplify]: Simplify PI into PI 2.425 * [taylor]: Taking taylor expansion of b in b 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (/ PI 1) into PI 2.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.428 * [backup-simplify]: Simplify (- 0) into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.429 * [backup-simplify]: Simplify (+ 0 0) into 0 2.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.431 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.431 * [taylor]: Taking taylor expansion of PI in b 2.431 * [backup-simplify]: Simplify PI into PI 2.431 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.431 * [taylor]: Taking taylor expansion of b in b 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (* 1 1) into 1 2.438 * [backup-simplify]: Simplify (/ PI 1) into PI 2.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (- 0) into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.446 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.446 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.446 * [taylor]: Taking taylor expansion of -1 in b 2.446 * [backup-simplify]: Simplify -1 into -1 2.446 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.446 * [taylor]: Taking taylor expansion of PI in b 2.446 * [backup-simplify]: Simplify PI into PI 2.446 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.446 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.446 * [taylor]: Taking taylor expansion of a in b 2.446 * [backup-simplify]: Simplify a into a 2.446 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.446 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.446 * [taylor]: Taking taylor expansion of b in b 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 1 into 1 2.446 * [backup-simplify]: Simplify (/ 1 1) into 1 2.447 * [backup-simplify]: Simplify (+ 0 1) into 1 2.447 * [backup-simplify]: Simplify (/ PI 1) into PI 2.447 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.447 * [taylor]: Taking taylor expansion of -1 in a 2.447 * [backup-simplify]: Simplify -1 into -1 2.447 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.448 * [taylor]: Taking taylor expansion of PI in a 2.448 * [backup-simplify]: Simplify PI into PI 2.448 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.448 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.448 * [taylor]: Taking taylor expansion of a in a 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [backup-simplify]: Simplify (/ 1 1) into 1 2.448 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.448 * [taylor]: Taking taylor expansion of b in a 2.448 * [backup-simplify]: Simplify b into b 2.448 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.448 * [backup-simplify]: Simplify (+ 1 0) into 1 2.449 * [backup-simplify]: Simplify (/ PI 1) into PI 2.449 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.449 * [taylor]: Taking taylor expansion of -1 in a 2.449 * [backup-simplify]: Simplify -1 into -1 2.449 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.449 * [taylor]: Taking taylor expansion of PI in a 2.449 * [backup-simplify]: Simplify PI into PI 2.449 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.449 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.449 * [taylor]: Taking taylor expansion of a in a 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (/ 1 1) into 1 2.449 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.449 * [taylor]: Taking taylor expansion of b in a 2.449 * [backup-simplify]: Simplify b into b 2.449 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.449 * [backup-simplify]: Simplify (+ 1 0) into 1 2.450 * [backup-simplify]: Simplify (/ PI 1) into PI 2.450 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 2.450 * [taylor]: Taking taylor expansion of (* -1 PI) in b 2.450 * [taylor]: Taking taylor expansion of -1 in b 2.450 * [backup-simplify]: Simplify -1 into -1 2.450 * [taylor]: Taking taylor expansion of PI in b 2.450 * [backup-simplify]: Simplify PI into PI 2.451 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.452 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 2.452 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.452 * [taylor]: Taking taylor expansion of PI in b 2.452 * [backup-simplify]: Simplify PI into PI 2.452 * [taylor]: Taking taylor expansion of b in b 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify (/ PI 1) into PI 2.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 2.454 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.456 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 2.456 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 2.456 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.456 * [taylor]: Taking taylor expansion of PI in b 2.456 * [backup-simplify]: Simplify PI into PI 2.456 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.456 * [taylor]: Taking taylor expansion of b in b 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 1 into 1 2.457 * [backup-simplify]: Simplify (* 1 1) into 1 2.457 * [backup-simplify]: Simplify (/ PI 1) into PI 2.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.460 * [backup-simplify]: Simplify (- 0) into 0 2.460 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.462 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) b) into (* 1/2 (/ PI (* b (+ a b)))) 2.462 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in (a b) around 0 2.462 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in b 2.462 * [taylor]: Taking taylor expansion of 1/2 in b 2.462 * [backup-simplify]: Simplify 1/2 into 1/2 2.462 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in b 2.462 * [taylor]: Taking taylor expansion of PI in b 2.462 * [backup-simplify]: Simplify PI into PI 2.462 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 2.462 * [taylor]: Taking taylor expansion of b in b 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [taylor]: Taking taylor expansion of (+ a b) in b 2.462 * [taylor]: Taking taylor expansion of a in b 2.462 * [backup-simplify]: Simplify a into a 2.462 * [taylor]: Taking taylor expansion of b in b 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (+ a 0) into a 2.462 * [backup-simplify]: Simplify (* 0 a) into 0 2.463 * [backup-simplify]: Simplify (+ 0 1) into 1 2.463 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 2.463 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 2.463 * [taylor]: Taking taylor expansion of 1/2 in a 2.463 * [backup-simplify]: Simplify 1/2 into 1/2 2.463 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 2.463 * [taylor]: Taking taylor expansion of PI in a 2.463 * [backup-simplify]: Simplify PI into PI 2.463 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 2.463 * [taylor]: Taking taylor expansion of b in a 2.463 * [backup-simplify]: Simplify b into b 2.463 * [taylor]: Taking taylor expansion of (+ a b) in a 2.463 * [taylor]: Taking taylor expansion of a in a 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [taylor]: Taking taylor expansion of b in a 2.463 * [backup-simplify]: Simplify b into b 2.464 * [backup-simplify]: Simplify (+ 0 b) into b 2.464 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.464 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 2.464 * [taylor]: Taking taylor expansion of 1/2 in a 2.464 * [backup-simplify]: Simplify 1/2 into 1/2 2.464 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 2.464 * [taylor]: Taking taylor expansion of PI in a 2.464 * [backup-simplify]: Simplify PI into PI 2.464 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 2.464 * [taylor]: Taking taylor expansion of b in a 2.464 * [backup-simplify]: Simplify b into b 2.464 * [taylor]: Taking taylor expansion of (+ a b) in a 2.464 * [taylor]: Taking taylor expansion of a in a 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [taylor]: Taking taylor expansion of b in a 2.464 * [backup-simplify]: Simplify b into b 2.464 * [backup-simplify]: Simplify (+ 0 b) into b 2.464 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.464 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.464 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 2.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.464 * [taylor]: Taking taylor expansion of 1/2 in b 2.464 * [backup-simplify]: Simplify 1/2 into 1/2 2.464 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.464 * [taylor]: Taking taylor expansion of PI in b 2.464 * [backup-simplify]: Simplify PI into PI 2.464 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.464 * [taylor]: Taking taylor expansion of b in b 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.465 * [backup-simplify]: Simplify (* 1 1) into 1 2.465 * [backup-simplify]: Simplify (/ PI 1) into PI 2.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (+ 1 0) into 1 2.467 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 2.468 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 2.468 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 2.468 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 2.468 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.468 * [taylor]: Taking taylor expansion of 1/2 in b 2.468 * [backup-simplify]: Simplify 1/2 into 1/2 2.468 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.468 * [taylor]: Taking taylor expansion of PI in b 2.468 * [backup-simplify]: Simplify PI into PI 2.468 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.468 * [taylor]: Taking taylor expansion of b in b 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [backup-simplify]: Simplify (* 1 1) into 1 2.469 * [backup-simplify]: Simplify (* 1 1) into 1 2.469 * [backup-simplify]: Simplify (/ PI 1) into PI 2.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.473 * [backup-simplify]: Simplify (- 0) into 0 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.475 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 b))) into 0 2.476 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 2.476 * [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))) 2.476 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 2.476 * [taylor]: Taking taylor expansion of 1/2 in b 2.476 * [backup-simplify]: Simplify 1/2 into 1/2 2.476 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 2.476 * [taylor]: Taking taylor expansion of PI in b 2.476 * [backup-simplify]: Simplify PI into PI 2.476 * [taylor]: Taking taylor expansion of (pow b 4) in b 2.476 * [taylor]: Taking taylor expansion of b in b 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 1 into 1 2.477 * [backup-simplify]: Simplify (* 1 1) into 1 2.477 * [backup-simplify]: Simplify (* 1 1) into 1 2.477 * [backup-simplify]: Simplify (/ PI 1) into PI 2.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.483 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.486 * [backup-simplify]: Simplify (- 0) into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 b)) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 2.488 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 2.488 * [taylor]: Taking taylor expansion of 1/2 in b 2.488 * [backup-simplify]: Simplify 1/2 into 1/2 2.488 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 2.488 * [taylor]: Taking taylor expansion of (* b PI) in b 2.488 * [taylor]: Taking taylor expansion of b in b 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 1 into 1 2.488 * [taylor]: Taking taylor expansion of PI in b 2.488 * [backup-simplify]: Simplify PI into PI 2.488 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.488 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.488 * [taylor]: Taking taylor expansion of a in b 2.488 * [backup-simplify]: Simplify a into a 2.488 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.488 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.488 * [taylor]: Taking taylor expansion of b in b 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 1 into 1 2.489 * [backup-simplify]: Simplify (/ 1 1) into 1 2.489 * [backup-simplify]: Simplify (* 0 PI) into 0 2.490 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.490 * [backup-simplify]: Simplify (+ 0 1) into 1 2.490 * [backup-simplify]: Simplify (/ PI 1) into PI 2.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.490 * [taylor]: Taking taylor expansion of 1/2 in a 2.490 * [backup-simplify]: Simplify 1/2 into 1/2 2.490 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.491 * [taylor]: Taking taylor expansion of (* b PI) in a 2.491 * [taylor]: Taking taylor expansion of b in a 2.491 * [backup-simplify]: Simplify b into b 2.491 * [taylor]: Taking taylor expansion of PI in a 2.491 * [backup-simplify]: Simplify PI into PI 2.491 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.491 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.491 * [taylor]: Taking taylor expansion of a in a 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (/ 1 1) into 1 2.491 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.491 * [taylor]: Taking taylor expansion of b in a 2.491 * [backup-simplify]: Simplify b into b 2.491 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.491 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.491 * [backup-simplify]: Simplify (+ 1 0) into 1 2.491 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.491 * [taylor]: Taking taylor expansion of 1/2 in a 2.491 * [backup-simplify]: Simplify 1/2 into 1/2 2.491 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.491 * [taylor]: Taking taylor expansion of (* b PI) in a 2.491 * [taylor]: Taking taylor expansion of b in a 2.491 * [backup-simplify]: Simplify b into b 2.491 * [taylor]: Taking taylor expansion of PI in a 2.491 * [backup-simplify]: Simplify PI into PI 2.491 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.491 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.492 * [taylor]: Taking taylor expansion of a in a 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 1 into 1 2.492 * [backup-simplify]: Simplify (/ 1 1) into 1 2.492 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.492 * [taylor]: Taking taylor expansion of b in a 2.492 * [backup-simplify]: Simplify b into b 2.492 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.492 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.492 * [backup-simplify]: Simplify (+ 1 0) into 1 2.492 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.492 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.492 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 2.492 * [taylor]: Taking taylor expansion of 1/2 in b 2.492 * [backup-simplify]: Simplify 1/2 into 1/2 2.492 * [taylor]: Taking taylor expansion of (* PI b) in b 2.492 * [taylor]: Taking taylor expansion of PI in b 2.492 * [backup-simplify]: Simplify PI into PI 2.492 * [taylor]: Taking taylor expansion of b in b 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify 1 into 1 2.493 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.494 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.495 * [backup-simplify]: Simplify (* PI 0) into 0 2.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.496 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 2.498 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 2.498 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 2.498 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.498 * [taylor]: Taking taylor expansion of 1/2 in b 2.498 * [backup-simplify]: Simplify 1/2 into 1/2 2.498 * [taylor]: Taking taylor expansion of PI in b 2.498 * [backup-simplify]: Simplify PI into PI 2.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.500 * [backup-simplify]: Simplify (- 0) into 0 2.500 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.505 * [backup-simplify]: Simplify (+ 0 0) into 0 2.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 2.507 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 2.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.507 * [taylor]: Taking taylor expansion of 1/2 in b 2.507 * [backup-simplify]: Simplify 1/2 into 1/2 2.507 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.507 * [taylor]: Taking taylor expansion of PI in b 2.507 * [backup-simplify]: Simplify PI into PI 2.508 * [taylor]: Taking taylor expansion of b in b 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.508 * [backup-simplify]: Simplify (/ PI 1) into PI 2.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.513 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.514 * [backup-simplify]: Simplify (- 0) into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- b))) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 2.518 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 2.518 * [taylor]: Taking taylor expansion of 1/2 in b 2.518 * [backup-simplify]: Simplify 1/2 into 1/2 2.518 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 2.518 * [taylor]: Taking taylor expansion of (* b PI) in b 2.518 * [taylor]: Taking taylor expansion of b in b 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [taylor]: Taking taylor expansion of PI in b 2.518 * [backup-simplify]: Simplify PI into PI 2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.518 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.518 * [taylor]: Taking taylor expansion of a in b 2.518 * [backup-simplify]: Simplify a into a 2.518 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.518 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.518 * [taylor]: Taking taylor expansion of b in b 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.519 * [backup-simplify]: Simplify (/ 1 1) into 1 2.519 * [backup-simplify]: Simplify (* 0 PI) into 0 2.521 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.522 * [backup-simplify]: Simplify (+ 0 1) into 1 2.522 * [backup-simplify]: Simplify (/ PI 1) into PI 2.522 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.522 * [taylor]: Taking taylor expansion of 1/2 in a 2.522 * [backup-simplify]: Simplify 1/2 into 1/2 2.522 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.522 * [taylor]: Taking taylor expansion of (* b PI) in a 2.522 * [taylor]: Taking taylor expansion of b in a 2.522 * [backup-simplify]: Simplify b into b 2.522 * [taylor]: Taking taylor expansion of PI in a 2.522 * [backup-simplify]: Simplify PI into PI 2.522 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.522 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.522 * [taylor]: Taking taylor expansion of a in a 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify 1 into 1 2.523 * [backup-simplify]: Simplify (/ 1 1) into 1 2.523 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.523 * [taylor]: Taking taylor expansion of b in a 2.523 * [backup-simplify]: Simplify b into b 2.523 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.523 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.524 * [backup-simplify]: Simplify (+ 1 0) into 1 2.524 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.524 * [taylor]: Taking taylor expansion of 1/2 in a 2.524 * [backup-simplify]: Simplify 1/2 into 1/2 2.524 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.524 * [taylor]: Taking taylor expansion of (* b PI) in a 2.524 * [taylor]: Taking taylor expansion of b in a 2.524 * [backup-simplify]: Simplify b into b 2.524 * [taylor]: Taking taylor expansion of PI in a 2.524 * [backup-simplify]: Simplify PI into PI 2.524 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.524 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.524 * [taylor]: Taking taylor expansion of a in a 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 1 into 1 2.524 * [backup-simplify]: Simplify (/ 1 1) into 1 2.525 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.525 * [taylor]: Taking taylor expansion of b in a 2.525 * [backup-simplify]: Simplify b into b 2.525 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.525 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.525 * [backup-simplify]: Simplify (+ 1 0) into 1 2.525 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.525 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.525 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 2.525 * [taylor]: Taking taylor expansion of 1/2 in b 2.526 * [backup-simplify]: Simplify 1/2 into 1/2 2.526 * [taylor]: Taking taylor expansion of (* PI b) in b 2.526 * [taylor]: Taking taylor expansion of PI in b 2.526 * [backup-simplify]: Simplify PI into PI 2.526 * [taylor]: Taking taylor expansion of b in b 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.527 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.528 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.529 * [backup-simplify]: Simplify (* PI 0) into 0 2.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.532 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 2.534 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 2.534 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 2.534 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.534 * [taylor]: Taking taylor expansion of 1/2 in b 2.534 * [backup-simplify]: Simplify 1/2 into 1/2 2.534 * [taylor]: Taking taylor expansion of PI in b 2.534 * [backup-simplify]: Simplify PI into PI 2.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.535 * [backup-simplify]: Simplify (- 0) into 0 2.535 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.538 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.540 * [backup-simplify]: Simplify (+ 0 0) into 0 2.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 2.541 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 2.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.542 * [taylor]: Taking taylor expansion of 1/2 in b 2.542 * [backup-simplify]: Simplify 1/2 into 1/2 2.542 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.542 * [taylor]: Taking taylor expansion of PI in b 2.542 * [backup-simplify]: Simplify PI into PI 2.542 * [taylor]: Taking taylor expansion of b in b 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 1 into 1 2.542 * [backup-simplify]: Simplify (/ PI 1) into PI 2.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.546 * [backup-simplify]: Simplify (- 0) into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.547 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) a) into (* 1/2 (/ PI (* a (+ a b)))) 2.547 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 2.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 2.547 * [taylor]: Taking taylor expansion of 1/2 in b 2.547 * [backup-simplify]: Simplify 1/2 into 1/2 2.547 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 2.547 * [taylor]: Taking taylor expansion of PI in b 2.547 * [backup-simplify]: Simplify PI into PI 2.547 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 2.547 * [taylor]: Taking taylor expansion of a in b 2.547 * [backup-simplify]: Simplify a into a 2.547 * [taylor]: Taking taylor expansion of (+ a b) in b 2.547 * [taylor]: Taking taylor expansion of a in b 2.548 * [backup-simplify]: Simplify a into a 2.548 * [taylor]: Taking taylor expansion of b in b 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify 1 into 1 2.548 * [backup-simplify]: Simplify (+ a 0) into a 2.548 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.548 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 2.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 2.548 * [taylor]: Taking taylor expansion of 1/2 in a 2.548 * [backup-simplify]: Simplify 1/2 into 1/2 2.548 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 2.548 * [taylor]: Taking taylor expansion of PI in a 2.548 * [backup-simplify]: Simplify PI into PI 2.548 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 2.548 * [taylor]: Taking taylor expansion of a in a 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify 1 into 1 2.548 * [taylor]: Taking taylor expansion of (+ a b) in a 2.548 * [taylor]: Taking taylor expansion of a in a 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify 1 into 1 2.548 * [taylor]: Taking taylor expansion of b in a 2.548 * [backup-simplify]: Simplify b into b 2.548 * [backup-simplify]: Simplify (+ 0 b) into b 2.548 * [backup-simplify]: Simplify (* 0 b) into 0 2.548 * [backup-simplify]: Simplify (+ 1 0) into 1 2.549 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 2.549 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 2.549 * [taylor]: Taking taylor expansion of 1/2 in a 2.549 * [backup-simplify]: Simplify 1/2 into 1/2 2.549 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 2.549 * [taylor]: Taking taylor expansion of PI in a 2.549 * [backup-simplify]: Simplify PI into PI 2.549 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 2.549 * [taylor]: Taking taylor expansion of a in a 2.549 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify 1 into 1 2.549 * [taylor]: Taking taylor expansion of (+ a b) in a 2.549 * [taylor]: Taking taylor expansion of a in a 2.549 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify 1 into 1 2.549 * [taylor]: Taking taylor expansion of b in a 2.549 * [backup-simplify]: Simplify b into b 2.549 * [backup-simplify]: Simplify (+ 0 b) into b 2.549 * [backup-simplify]: Simplify (* 0 b) into 0 2.549 * [backup-simplify]: Simplify (+ 1 0) into 1 2.549 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 2.550 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.550 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.550 * [taylor]: Taking taylor expansion of 1/2 in b 2.550 * [backup-simplify]: Simplify 1/2 into 1/2 2.550 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.550 * [taylor]: Taking taylor expansion of PI in b 2.550 * [backup-simplify]: Simplify PI into PI 2.550 * [taylor]: Taking taylor expansion of b in b 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 1 into 1 2.550 * [backup-simplify]: Simplify (/ PI 1) into PI 2.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify (+ 0 0) into 0 2.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 2.554 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.554 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 2.554 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.554 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.554 * [taylor]: Taking taylor expansion of 1/2 in b 2.554 * [backup-simplify]: Simplify 1/2 into 1/2 2.554 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.554 * [taylor]: Taking taylor expansion of PI in b 2.554 * [backup-simplify]: Simplify PI into PI 2.554 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.554 * [taylor]: Taking taylor expansion of b in b 2.554 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify 1 into 1 2.554 * [backup-simplify]: Simplify (* 1 1) into 1 2.555 * [backup-simplify]: Simplify (/ PI 1) into PI 2.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.558 * [backup-simplify]: Simplify (- 0) into 0 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify (+ 0 0) into 0 2.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 2.561 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.561 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.561 * [taylor]: Taking taylor expansion of 1/2 in b 2.561 * [backup-simplify]: Simplify 1/2 into 1/2 2.561 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.561 * [taylor]: Taking taylor expansion of PI in b 2.561 * [backup-simplify]: Simplify PI into PI 2.561 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.561 * [taylor]: Taking taylor expansion of b in b 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [backup-simplify]: Simplify (* 1 1) into 1 2.561 * [backup-simplify]: Simplify (* 1 1) into 1 2.562 * [backup-simplify]: Simplify (/ PI 1) into PI 2.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.567 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.570 * [backup-simplify]: Simplify (- 0) into 0 2.570 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 a)) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 2.573 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 2.573 * [taylor]: Taking taylor expansion of 1/2 in b 2.573 * [backup-simplify]: Simplify 1/2 into 1/2 2.573 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 2.573 * [taylor]: Taking taylor expansion of (* a PI) in b 2.573 * [taylor]: Taking taylor expansion of a in b 2.573 * [backup-simplify]: Simplify a into a 2.573 * [taylor]: Taking taylor expansion of PI in b 2.573 * [backup-simplify]: Simplify PI into PI 2.573 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.573 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.573 * [taylor]: Taking taylor expansion of a in b 2.573 * [backup-simplify]: Simplify a into a 2.573 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.573 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.573 * [taylor]: Taking taylor expansion of b in b 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 1 into 1 2.574 * [backup-simplify]: Simplify (/ 1 1) into 1 2.574 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.574 * [backup-simplify]: Simplify (+ 0 1) into 1 2.574 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.574 * [taylor]: Taking taylor expansion of 1/2 in a 2.574 * [backup-simplify]: Simplify 1/2 into 1/2 2.574 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.574 * [taylor]: Taking taylor expansion of (* a PI) in a 2.574 * [taylor]: Taking taylor expansion of a in a 2.574 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify 1 into 1 2.574 * [taylor]: Taking taylor expansion of PI in a 2.574 * [backup-simplify]: Simplify PI into PI 2.574 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.574 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.575 * [taylor]: Taking taylor expansion of a in a 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify 1 into 1 2.575 * [backup-simplify]: Simplify (/ 1 1) into 1 2.575 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.575 * [taylor]: Taking taylor expansion of b in a 2.575 * [backup-simplify]: Simplify b into b 2.575 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.575 * [backup-simplify]: Simplify (* 0 PI) into 0 2.577 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.577 * [backup-simplify]: Simplify (+ 1 0) into 1 2.578 * [backup-simplify]: Simplify (/ PI 1) into PI 2.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.578 * [taylor]: Taking taylor expansion of 1/2 in a 2.578 * [backup-simplify]: Simplify 1/2 into 1/2 2.578 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.578 * [taylor]: Taking taylor expansion of (* a PI) in a 2.578 * [taylor]: Taking taylor expansion of a in a 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.578 * [taylor]: Taking taylor expansion of PI in a 2.578 * [backup-simplify]: Simplify PI into PI 2.578 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.578 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.578 * [taylor]: Taking taylor expansion of a in a 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 1 into 1 2.578 * [backup-simplify]: Simplify (/ 1 1) into 1 2.578 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.578 * [taylor]: Taking taylor expansion of b in a 2.578 * [backup-simplify]: Simplify b into b 2.579 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.579 * [backup-simplify]: Simplify (* 0 PI) into 0 2.580 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.581 * [backup-simplify]: Simplify (+ 1 0) into 1 2.581 * [backup-simplify]: Simplify (/ PI 1) into PI 2.582 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.582 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.582 * [taylor]: Taking taylor expansion of 1/2 in b 2.582 * [backup-simplify]: Simplify 1/2 into 1/2 2.582 * [taylor]: Taking taylor expansion of PI in b 2.582 * [backup-simplify]: Simplify PI into PI 2.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.584 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.585 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.585 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.585 * [taylor]: Taking taylor expansion of 1/2 in b 2.585 * [backup-simplify]: Simplify 1/2 into 1/2 2.585 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.585 * [taylor]: Taking taylor expansion of PI in b 2.585 * [backup-simplify]: Simplify PI into PI 2.585 * [taylor]: Taking taylor expansion of b in b 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [backup-simplify]: Simplify (/ PI 1) into PI 2.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.587 * [backup-simplify]: Simplify (- 0) into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.588 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.590 * [backup-simplify]: Simplify (+ 0 0) into 0 2.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.591 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.591 * [taylor]: Taking taylor expansion of 1/2 in b 2.591 * [backup-simplify]: Simplify 1/2 into 1/2 2.591 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.591 * [taylor]: Taking taylor expansion of PI in b 2.591 * [backup-simplify]: Simplify PI into PI 2.591 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.591 * [taylor]: Taking taylor expansion of b in b 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.592 * [backup-simplify]: Simplify (* 1 1) into 1 2.592 * [backup-simplify]: Simplify (/ PI 1) into PI 2.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.598 * [backup-simplify]: Simplify (- 0) into 0 2.598 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.599 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 2.599 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 2.599 * [taylor]: Taking taylor expansion of 1/2 in b 2.599 * [backup-simplify]: Simplify 1/2 into 1/2 2.599 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 2.599 * [taylor]: Taking taylor expansion of (* a PI) in b 2.599 * [taylor]: Taking taylor expansion of a in b 2.599 * [backup-simplify]: Simplify a into a 2.599 * [taylor]: Taking taylor expansion of PI in b 2.599 * [backup-simplify]: Simplify PI into PI 2.599 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.599 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.599 * [taylor]: Taking taylor expansion of a in b 2.599 * [backup-simplify]: Simplify a into a 2.599 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.599 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.599 * [taylor]: Taking taylor expansion of b in b 2.599 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify 1 into 1 2.600 * [backup-simplify]: Simplify (/ 1 1) into 1 2.600 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.600 * [backup-simplify]: Simplify (+ 0 1) into 1 2.600 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.600 * [taylor]: Taking taylor expansion of 1/2 in a 2.600 * [backup-simplify]: Simplify 1/2 into 1/2 2.600 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.600 * [taylor]: Taking taylor expansion of (* a PI) in a 2.600 * [taylor]: Taking taylor expansion of a in a 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [taylor]: Taking taylor expansion of PI in a 2.600 * [backup-simplify]: Simplify PI into PI 2.600 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.600 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.600 * [taylor]: Taking taylor expansion of a in a 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [backup-simplify]: Simplify (/ 1 1) into 1 2.601 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.601 * [taylor]: Taking taylor expansion of b in a 2.601 * [backup-simplify]: Simplify b into b 2.601 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.601 * [backup-simplify]: Simplify (* 0 PI) into 0 2.602 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.602 * [backup-simplify]: Simplify (+ 1 0) into 1 2.603 * [backup-simplify]: Simplify (/ PI 1) into PI 2.603 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.603 * [taylor]: Taking taylor expansion of 1/2 in a 2.603 * [backup-simplify]: Simplify 1/2 into 1/2 2.603 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.603 * [taylor]: Taking taylor expansion of (* a PI) in a 2.603 * [taylor]: Taking taylor expansion of a in a 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [taylor]: Taking taylor expansion of PI in a 2.603 * [backup-simplify]: Simplify PI into PI 2.603 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.603 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.603 * [taylor]: Taking taylor expansion of a in a 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [backup-simplify]: Simplify (/ 1 1) into 1 2.603 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.603 * [taylor]: Taking taylor expansion of b in a 2.603 * [backup-simplify]: Simplify b into b 2.603 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.603 * [backup-simplify]: Simplify (* 0 PI) into 0 2.605 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.605 * [backup-simplify]: Simplify (+ 1 0) into 1 2.605 * [backup-simplify]: Simplify (/ PI 1) into PI 2.606 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.606 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.606 * [taylor]: Taking taylor expansion of 1/2 in b 2.606 * [backup-simplify]: Simplify 1/2 into 1/2 2.606 * [taylor]: Taking taylor expansion of PI in b 2.606 * [backup-simplify]: Simplify PI into PI 2.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.606 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.607 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.608 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.608 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.608 * [taylor]: Taking taylor expansion of 1/2 in b 2.608 * [backup-simplify]: Simplify 1/2 into 1/2 2.608 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.608 * [taylor]: Taking taylor expansion of PI in b 2.608 * [backup-simplify]: Simplify PI into PI 2.608 * [taylor]: Taking taylor expansion of b in b 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify (/ PI 1) into PI 2.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.611 * [backup-simplify]: Simplify (- 0) into 0 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.611 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.613 * [backup-simplify]: Simplify (+ 0 0) into 0 2.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.614 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.614 * [taylor]: Taking taylor expansion of 1/2 in b 2.614 * [backup-simplify]: Simplify 1/2 into 1/2 2.614 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.614 * [taylor]: Taking taylor expansion of PI in b 2.614 * [backup-simplify]: Simplify PI into PI 2.614 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.614 * [taylor]: Taking taylor expansion of b in b 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (* 1 1) into 1 2.615 * [backup-simplify]: Simplify (/ PI 1) into PI 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.619 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.621 * [backup-simplify]: Simplify (- 0) into 0 2.621 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * * * [progress]: simplifying candidates 2.623 * * * * [progress]: [ 1 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: [ 2 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: [ 3 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: [ 4 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: [ 5 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: [ 6 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: [ 7 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: [ 8 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: [ 9 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: [ 10 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: [ 11 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: [ 12 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: [ 13 / 586 ] simplifiying candidate # 2.623 * * * * [progress]: 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2.624 * * * * [progress]: [ 30 / 586 ] simplifiying candidate # 2.624 * * * * [progress]: [ 31 / 586 ] simplifiying candidate # 2.624 * * * * [progress]: [ 32 / 586 ] simplifiying candidate # 2.624 * * * * [progress]: [ 33 / 586 ] simplifiying candidate # 2.624 * * * * [progress]: [ 34 / 586 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) b))) (- b a)))> 2.624 * * * * [progress]: [ 35 / 586 ] simplifiying candidate # 2.625 * * * * [progress]: [ 36 / 586 ] simplifiying candidate # 2.625 * * * * [progress]: [ 37 / 586 ] simplifiying candidate # 2.625 * * * * [progress]: [ 38 / 586 ] simplifiying candidate # 2.625 * * * * [progress]: [ 39 / 586 ] simplifiying candidate # 2.625 * * * * [progress]: [ 40 / 586 ] simplifiying candidate # 2.625 * * * * [progress]: [ 41 / 586 ] simplifiying candidate # 2.625 * * * * [progress]: [ 42 / 586 ] simplifiying candidate # 2.625 * * * * [progress]: [ 43 / 586 ] simplifiying candidate # 2.625 * * * * [progress]: [ 44 / 586 ] 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[progress]: [ 60 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 61 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 62 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 63 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 64 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 65 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 66 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 67 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 68 / 586 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b))) (- b a)))> 2.626 * * * * [progress]: [ 69 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 70 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 71 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 72 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 73 / 586 ] simplifiying candidate # 2.626 * * * * [progress]: [ 74 / 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2.656 * * * * [progress]: [ 579 / 586 ] simplifiying candidate # 2.656 * * * * [progress]: [ 580 / 586 ] simplifiying candidate # 2.656 * * * * [progress]: [ 581 / 586 ] simplifiying candidate # 2.656 * * * * [progress]: [ 582 / 586 ] simplifiying candidate # 2.656 * * * * [progress]: [ 583 / 586 ] simplifiying candidate # 2.656 * * * * [progress]: [ 584 / 586 ] simplifiying candidate # 2.656 * * * * [progress]: [ 585 / 586 ] simplifiying candidate # 2.656 * * * * [progress]: [ 586 / 586 ] simplifiying candidate # 2.667 * [simplify]: Simplifying: (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (- (- (log PI) (log (+ a b))) (log 2)) (log b)) (- (- (log (/ PI (+ a b))) (log 2)) (log b)) (- (log (/ (/ PI (+ a b)) 2)) (log b)) (log (/ (/ (/ PI (+ a b)) 2) b)) (exp (/ (/ (/ PI (+ a b)) 2) b)) (/ (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 2 2) 2)) (* (* b b) b)) (/ (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* 2 2) 2)) (* (* b b) b)) (/ (* (* (/ (/ PI (+ a b)) 2) (/ (/ PI (+ a b)) 2)) (/ (/ PI (+ a b)) 2)) (* (* b b) b)) (* (cbrt (/ (/ (/ PI (+ a b)) 2) b)) (cbrt (/ (/ (/ PI (+ a b)) 2) b))) (cbrt (/ (/ (/ PI (+ a b)) 2) b)) (* (* (/ (/ (/ PI (+ a b)) 2) b) (/ (/ (/ PI (+ a b)) 2) b)) (/ (/ (/ PI (+ a b)) 2) b)) (sqrt (/ (/ (/ PI (+ a b)) 2) b)) (sqrt (/ (/ (/ PI (+ a b)) 2) b)) (- (/ (/ PI (+ a b)) 2)) (- b) (/ (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))) (* (cbrt b) (cbrt b))) (/ (cbrt (/ (/ PI (+ a b)) 2)) (cbrt b)) (/ (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))) (sqrt b)) (/ (cbrt (/ (/ PI (+ a b)) 2)) (sqrt b)) (/ (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a 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(/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt 2)) (cbrt a)) (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt 2)) (sqrt a)) (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (+ (* a a) (- (* b b) (* a b))) (cbrt 2)) a) (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt 2)) (cbrt a)) (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt 2)) (sqrt a)) (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt 2)) (sqrt a)) (/ (/ (/ PI (+ (pow a 3) (pow b 3))) (sqrt 2)) 1) (/ (/ (+ (* a a) (- (* b b) (* a b))) (sqrt 2)) a) (/ (/ (/ PI (+ (pow a 3) (pow b 3))) 1) (* (cbrt a) (cbrt a))) (/ (/ (+ (* a a) (- (* b b) (* a b))) 2) (cbrt a)) (/ (/ (/ PI (+ (pow a 3) (pow b 3))) 1) (sqrt a)) (/ (/ (+ (* a a) (- (* b b) (* a b))) 2) (sqrt a)) (/ (/ (/ PI (+ (pow a 3) (pow b 3))) 1) 1) (/ (/ (+ (* a a) (- (* b b) (* a b))) 2) a) (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt 2) (cbrt 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1) (/ (/ 1 2) a) (/ 1 a) (/ a (/ (/ PI (+ a b)) 2)) (/ (/ (/ PI (+ a b)) 2) (* (cbrt a) (cbrt a))) (/ (/ (/ PI (+ a b)) 2) (sqrt a)) (/ (/ (/ PI (+ a b)) 2) 1) (/ a (cbrt (/ (/ PI (+ a b)) 2))) (/ a (sqrt (/ (/ PI (+ a b)) 2))) (/ a (/ (cbrt (/ PI (+ a b))) (cbrt 2))) (/ a (/ (cbrt (/ PI (+ a b))) (sqrt 2))) (/ a (/ (cbrt (/ PI (+ a b))) 2)) (/ a (/ (sqrt (/ PI (+ a b))) (cbrt 2))) (/ a (/ (sqrt (/ PI (+ a b))) (sqrt 2))) (/ a (/ (sqrt (/ PI (+ a b))) 2)) (/ a (/ (/ (cbrt PI) (cbrt (+ a b))) (cbrt 2))) (/ a (/ (/ (cbrt PI) (cbrt (+ a b))) (sqrt 2))) (/ a (/ (/ (cbrt PI) (cbrt (+ a b))) 2)) (/ a (/ (/ (cbrt PI) (sqrt (+ a b))) (cbrt 2))) (/ a (/ (/ (cbrt PI) (sqrt (+ a b))) (sqrt 2))) (/ a (/ (/ (cbrt PI) (sqrt (+ a b))) 2)) (/ a (/ (/ (cbrt PI) (+ a b)) (cbrt 2))) (/ a (/ (/ (cbrt PI) (+ a b)) (sqrt 2))) (/ a (/ (/ (cbrt PI) (+ a b)) 2)) (/ a (/ (/ (cbrt PI) (+ a b)) (cbrt 2))) (/ a (/ (/ (cbrt PI) (+ a b)) (sqrt 2))) (/ a (/ (/ (cbrt PI) (+ a b)) 2)) (/ a (/ (/ (sqrt PI) (cbrt (+ a b))) (cbrt 2))) (/ a (/ (/ (sqrt PI) (cbrt (+ a b))) (sqrt 2))) (/ a (/ (/ (sqrt PI) (cbrt (+ a b))) 2)) (/ a (/ (/ (sqrt PI) (sqrt (+ a b))) (cbrt 2))) (/ a (/ (/ (sqrt PI) (sqrt (+ a b))) (sqrt 2))) (/ a (/ (/ (sqrt PI) (sqrt (+ a b))) 2)) (/ a (/ (/ (sqrt PI) (+ a b)) (cbrt 2))) (/ a (/ (/ (sqrt PI) (+ a b)) (sqrt 2))) (/ a (/ (/ (sqrt PI) (+ a b)) 2)) (/ a (/ (/ (sqrt PI) (+ a b)) (cbrt 2))) (/ a (/ (/ (sqrt PI) (+ a b)) (sqrt 2))) (/ a (/ (/ (sqrt PI) (+ a b)) 2)) (/ a (/ (/ PI (cbrt (+ a b))) (cbrt 2))) (/ a (/ (/ PI (cbrt (+ a b))) (sqrt 2))) (/ a (/ (/ PI (cbrt (+ a b))) 2)) (/ a (/ (/ PI (sqrt (+ a b))) (cbrt 2))) (/ a (/ (/ PI (sqrt (+ a b))) (sqrt 2))) (/ a (/ (/ PI (sqrt (+ a b))) 2)) (/ a (/ (/ PI (+ a b)) (cbrt 2))) (/ a (/ (/ PI (+ a b)) (sqrt 2))) (/ a (/ (/ PI (+ a b)) 2)) (/ a (/ (/ PI (+ a b)) (cbrt 2))) (/ a (/ (/ PI (+ a b)) (sqrt 2))) (/ a (/ (/ PI (+ a b)) 2)) (/ a (/ (/ PI (+ a b)) (cbrt 2))) (/ a (/ (/ PI (+ a b)) (sqrt 2))) (/ a (/ (/ PI (+ a b)) 2)) (/ a (/ (/ 1 (+ a b)) (cbrt 2))) (/ a (/ (/ 1 (+ a b)) (sqrt 2))) (/ a (/ (/ 1 (+ a b)) 2)) (/ a (/ (+ (* a a) (- (* b b) (* a b))) (cbrt 2))) (/ a (/ (+ (* a a) (- (* b b) (* a b))) (sqrt 2))) (/ a (/ (+ (* a a) (- (* b b) (* a b))) 2)) (/ a (/ (- a b) (cbrt 2))) (/ a (/ (- a b) (sqrt 2))) (/ a (/ (- a b) 2)) (/ a (/ (/ PI (+ a b)) 2)) (/ a (/ 1 2)) (* a 2) (real->posit16 (/ (/ (/ PI (+ a b)) 2) a)) 0 0 0 0 0 0 0 0 0 0 0 0 2.682 * * [simplify]: iteration 0: 812 enodes 3.015 * * [simplify]: iteration 1: 1841 enodes 3.616 * * [simplify]: iteration 2: 4922 enodes 4.801 * * [simplify]: iteration complete: 5001 enodes 4.802 * * [simplify]: Extracting #0: cost 624 inf + 0 4.809 * * [simplify]: Extracting #1: cost 1734 inf + 85 4.818 * * [simplify]: Extracting #2: cost 2062 inf + 5119 4.844 * * [simplify]: Extracting #3: cost 1405 inf + 131775 4.927 * * [simplify]: Extracting #4: cost 238 inf + 438120 5.034 * * [simplify]: Extracting #5: cost 2 inf + 502579 5.158 * * [simplify]: Extracting #6: cost 0 inf + 501989 5.276 * [simplify]: Simplified to: (log (/ PI (+ b a))) (log (/ PI (+ b a))) (exp (/ PI (+ b a))) (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) (cbrt (/ PI (+ b a))) (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (sqrt (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (- PI) (- (+ b a)) (* (/ (cbrt PI) (cbrt (+ b a))) (/ (cbrt PI) (cbrt (+ b a)))) (/ (cbrt PI) (cbrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ b a))) (/ (cbrt PI) (sqrt (+ b a))) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (/ (sqrt PI) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt PI) (cbrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (sqrt PI) (/ (sqrt PI) (+ b a)) (sqrt PI) (/ (sqrt PI) (+ b a)) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ PI (sqrt (+ b a))) 1 (/ PI (+ b a)) 1 (/ PI (+ b a)) (/ 1 (+ b a)) (/ (+ b a) PI) (/ PI (* (cbrt (+ b a)) 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PI (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ PI (sqrt (+ b a))) 1 (/ PI (+ b a)) 1 (/ PI (+ b a)) (/ 1 (+ b a)) (/ (+ b a) PI) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (sqrt (+ b a))) PI PI (/ (+ b a) (cbrt PI)) (/ (+ b a) (sqrt PI)) (/ (+ b a) PI) (/ PI (+ (* (* b b) b) (* (* a a) a))) (/ (/ PI (+ b a)) (- a b)) (real->posit16 (/ PI (+ b a))) (log (/ (/ (/ PI 2) (+ b a)) b)) (log (/ (/ (/ PI 2) (+ b a)) b)) (log (/ (/ (/ PI 2) (+ b a)) b)) (log (/ (/ (/ PI 2) (+ b a)) b)) (sqrt (exp (/ (/ PI (+ b a)) b))) (/ (/ PI (+ b a)) (/ (* (* b b) (* b 8)) (* (/ PI (+ b a)) (/ PI (+ b a))))) (/ (/ PI (+ b a)) (/ (* (* b b) (* b 8)) (* (/ PI (+ b a)) (/ PI (+ b a))))) (* (/ (/ (/ PI 2) (+ b a)) b) (* (/ (/ (/ PI 2) (+ b a)) b) (/ (/ (/ PI 2) (+ b a)) b))) (* (cbrt (/ (/ (/ PI 2) (+ b a)) b)) (cbrt (/ (/ (/ PI 2) (+ b a)) b))) (cbrt (/ (/ (/ PI 2) (+ b a)) b)) (* (/ (/ (/ PI 2) (+ b a)) b) (* (/ (/ (/ PI 2) (+ b a)) b) (/ (/ (/ PI 2) (+ b a)) b))) (sqrt (/ (/ (/ PI 2) (+ b a)) b)) (sqrt (/ (/ 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(- a b) (* 2 a)) (/ 1 (* (cbrt a) (cbrt a))) (/ (/ (/ PI 2) (+ b a)) (cbrt a)) (/ 1 (sqrt a)) (/ (/ (/ PI 2) (+ b a)) (sqrt a)) 1 (/ (/ (/ PI 2) (+ b a)) a) (/ (/ PI (* (cbrt a) (cbrt a))) (+ b a)) (/ 1/2 (cbrt a)) (/ PI (* (+ b a) (sqrt a))) (/ 1/2 (sqrt a)) (/ PI (+ b a)) (/ 1/2 a) (/ 1 a) (/ (* a 2) (/ PI (+ b a))) (/ (/ (/ PI 2) (+ b a)) (* (cbrt a) (cbrt a))) (/ (/ (/ PI 2) (+ b a)) (sqrt a)) (/ (/ PI 2) (+ b a)) (/ a (cbrt (/ (/ PI 2) (+ b a)))) (/ a (sqrt (/ (/ PI 2) (+ b a)))) (/ (* a (cbrt 2)) (cbrt (/ PI (+ b a)))) (/ (* a (sqrt 2)) (cbrt (/ PI (+ b a)))) (/ (* a 2) (cbrt (/ PI (+ b a)))) (/ (* a (cbrt 2)) (sqrt (/ PI (+ b a)))) (/ (* a (sqrt 2)) (sqrt (/ PI (+ b a)))) (/ (* a 2) (sqrt (/ PI (+ b a)))) (/ a (/ (/ (cbrt PI) (cbrt 2)) (cbrt (+ b a)))) (/ (* a (sqrt 2)) (/ (cbrt PI) (cbrt (+ b a)))) (/ a (/ (cbrt PI) (* (cbrt (+ b a)) 2))) (* (cbrt 2) (* (/ a (cbrt PI)) (sqrt (+ b a)))) (* (* (/ a (cbrt PI)) (sqrt (+ b a))) (sqrt 2)) (/ a (/ (/ (cbrt PI) 2) (sqrt (+ b a)))) (* (cbrt 2) (* (/ a (cbrt PI)) (+ b a))) (/ (* a (sqrt 2)) (/ (cbrt PI) (+ b a))) (/ (* a 2) (/ (cbrt PI) (+ b a))) (* (cbrt 2) (* (/ a (cbrt PI)) (+ b a))) (/ (* a (sqrt 2)) (/ (cbrt PI) (+ b a))) (/ (* a 2) (/ (cbrt PI) (+ b a))) (/ (* a (cbrt 2)) (/ (sqrt PI) (cbrt (+ b a)))) (/ (* a (sqrt 2)) (/ (sqrt PI) (cbrt (+ b a)))) (/ (* a 2) (/ (sqrt PI) (cbrt (+ b a)))) (/ a (/ (sqrt PI) (* (cbrt 2) (sqrt (+ b a))))) (/ (* a (sqrt 2)) (/ (sqrt PI) (sqrt (+ b a)))) (* (* (/ a (sqrt PI)) (sqrt (+ b a))) 2) (/ (* a (cbrt 2)) (/ (sqrt PI) (+ b a))) (/ (* a (sqrt 2)) (/ (sqrt PI) (+ b a))) (* (* (/ a (sqrt PI)) (+ b a)) 2) (/ (* a (cbrt 2)) (/ (sqrt PI) (+ b a))) (/ (* a (sqrt 2)) (/ (sqrt PI) (+ b a))) (* (* (/ a (sqrt PI)) (+ b a)) 2) (* (cbrt 2) (/ a (/ PI (cbrt (+ b a))))) (* (/ a (/ PI (cbrt (+ b a)))) (sqrt 2)) (/ a (/ (/ PI (cbrt (+ b a))) 2)) (* (cbrt 2) (* (/ a PI) (sqrt (+ b a)))) (* (sqrt 2) (* (/ a PI) (sqrt (+ b a)))) (* (* (/ a PI) (sqrt (+ b a))) 2) (* (cbrt 2) (/ a (/ PI (+ b a)))) (/ (* a (sqrt 2)) (/ PI (+ b a))) (/ (* a 2) (/ PI (+ b a))) (* (cbrt 2) (/ a (/ PI (+ b a)))) (/ (* a (sqrt 2)) (/ PI (+ b a))) (/ (* a 2) (/ PI (+ b a))) (* (cbrt 2) (/ a (/ PI (+ b a)))) (/ (* a (sqrt 2)) (/ PI (+ b a))) (/ (* a 2) (/ PI (+ b a))) (* (* (/ a 1) (+ b a)) (cbrt 2)) (/ a (/ 1 (* (sqrt 2) (+ b a)))) (/ a (/ 1/2 (+ b a))) (* (/ a (+ (* a a) (* b (- b a)))) (cbrt 2)) (* (/ a (+ (* a a) (* b (- b a)))) (sqrt 2)) (/ (* a 2) (+ (* a a) (* b (- b a)))) (* (cbrt 2) (/ a (- a b))) (/ (* a (sqrt 2)) (- a b)) (* (/ a (- a b)) 2) (/ (* a 2) (/ PI (+ b a))) (* 2 a) (* 2 a) (real->posit16 (/ (/ (/ PI 2) (+ b a)) a)) 0 0 0 0 0 0 0 0 0 0 0 0 5.381 * * * [progress]: adding candidates to table 8.881 * * [progress]: iteration 2 / 4 8.881 * * * [progress]: picking best candidate 8.932 * * * * [pick]: Picked # 8.932 * * * [progress]: localizing error 8.999 * * * [progress]: generating rewritten candidates 8.999 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 9.021 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 9.127 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2) 9.199 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 9.360 * * * [progress]: generating series expansions 9.360 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 9.360 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 9.360 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 9.360 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 9.360 * [taylor]: Taking taylor expansion of PI in b 9.360 * [backup-simplify]: Simplify PI into PI 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 9.360 * [backup-simplify]: Simplify (+ a 0) into a 9.360 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 9.360 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 9.360 * [taylor]: Taking taylor expansion of PI in a 9.360 * [backup-simplify]: Simplify PI into PI 9.360 * [taylor]: Taking taylor expansion of (+ a b) in a 9.361 * [taylor]: Taking taylor expansion of a in a 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 1 into 1 9.361 * [taylor]: Taking taylor expansion of b in a 9.361 * [backup-simplify]: Simplify b into b 9.361 * [backup-simplify]: Simplify (+ 0 b) into b 9.361 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.361 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 9.361 * [taylor]: Taking taylor expansion of PI in a 9.361 * [backup-simplify]: Simplify PI into PI 9.361 * [taylor]: Taking taylor expansion of (+ a b) in a 9.361 * [taylor]: Taking taylor expansion of a in a 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 1 into 1 9.361 * [taylor]: Taking taylor expansion of b in a 9.361 * [backup-simplify]: Simplify b into b 9.361 * [backup-simplify]: Simplify (+ 0 b) into b 9.361 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.361 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.361 * [taylor]: Taking taylor expansion of PI in b 9.361 * [backup-simplify]: Simplify PI into PI 9.361 * [taylor]: Taking taylor expansion of b in b 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 1 into 1 9.362 * [backup-simplify]: Simplify (/ PI 1) into PI 9.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.362 * [backup-simplify]: Simplify 0 into 0 9.363 * [backup-simplify]: Simplify (+ 1 0) into 1 9.363 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 9.363 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 9.363 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.363 * [taylor]: Taking taylor expansion of PI in b 9.363 * [backup-simplify]: Simplify PI into PI 9.363 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.363 * [taylor]: Taking taylor expansion of b in b 9.363 * [backup-simplify]: Simplify 0 into 0 9.363 * [backup-simplify]: Simplify 1 into 1 9.363 * [backup-simplify]: Simplify (* 1 1) into 1 9.364 * [backup-simplify]: Simplify (/ PI 1) into PI 9.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.366 * [backup-simplify]: Simplify (- 0) into 0 9.366 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify (+ 0 0) into 0 9.367 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 9.367 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 9.367 * [taylor]: Taking taylor expansion of PI in b 9.367 * [backup-simplify]: Simplify PI into PI 9.367 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.367 * [taylor]: Taking taylor expansion of b in b 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify 1 into 1 9.368 * [backup-simplify]: Simplify (* 1 1) into 1 9.368 * [backup-simplify]: Simplify (* 1 1) into 1 9.368 * [backup-simplify]: Simplify (/ PI 1) into PI 9.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.373 * [backup-simplify]: Simplify 0 into 0 9.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.375 * [backup-simplify]: Simplify (- 0) into 0 9.375 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.375 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 9.375 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 9.375 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 9.376 * [taylor]: Taking taylor expansion of PI in b 9.376 * [backup-simplify]: Simplify PI into PI 9.376 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.376 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.376 * [taylor]: Taking taylor expansion of a in b 9.376 * [backup-simplify]: Simplify a into a 9.376 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.376 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.376 * [taylor]: Taking taylor expansion of b in b 9.376 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify 1 into 1 9.376 * [backup-simplify]: Simplify (/ 1 1) into 1 9.376 * [backup-simplify]: Simplify (+ 0 1) into 1 9.377 * [backup-simplify]: Simplify (/ PI 1) into PI 9.377 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 9.377 * [taylor]: Taking taylor expansion of PI in a 9.377 * [backup-simplify]: Simplify PI into PI 9.377 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.377 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.377 * [taylor]: Taking taylor expansion of a in a 9.377 * [backup-simplify]: Simplify 0 into 0 9.377 * [backup-simplify]: Simplify 1 into 1 9.377 * [backup-simplify]: Simplify (/ 1 1) into 1 9.377 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.377 * [taylor]: Taking taylor expansion of b in a 9.377 * [backup-simplify]: Simplify b into b 9.377 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.377 * [backup-simplify]: Simplify (+ 1 0) into 1 9.378 * [backup-simplify]: Simplify (/ PI 1) into PI 9.378 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 9.378 * [taylor]: Taking taylor expansion of PI in a 9.378 * [backup-simplify]: Simplify PI into PI 9.378 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.378 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.378 * [taylor]: Taking taylor expansion of a in a 9.378 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify 1 into 1 9.378 * [backup-simplify]: Simplify (/ 1 1) into 1 9.378 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.378 * [taylor]: Taking taylor expansion of b in a 9.378 * [backup-simplify]: Simplify b into b 9.378 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.378 * [backup-simplify]: Simplify (+ 1 0) into 1 9.379 * [backup-simplify]: Simplify (/ PI 1) into PI 9.379 * [taylor]: Taking taylor expansion of PI in b 9.379 * [backup-simplify]: Simplify PI into PI 9.379 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.379 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 9.380 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 9.380 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.380 * [taylor]: Taking taylor expansion of PI in b 9.380 * [backup-simplify]: Simplify PI into PI 9.380 * [taylor]: Taking taylor expansion of b in b 9.380 * [backup-simplify]: Simplify 0 into 0 9.380 * [backup-simplify]: Simplify 1 into 1 9.380 * [backup-simplify]: Simplify (/ PI 1) into PI 9.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.381 * [backup-simplify]: Simplify (- 0) into 0 9.382 * [backup-simplify]: Simplify 0 into 0 9.382 * [backup-simplify]: Simplify 0 into 0 9.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.382 * [backup-simplify]: Simplify (+ 0 0) into 0 9.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 9.383 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.383 * [taylor]: Taking taylor expansion of PI in b 9.383 * [backup-simplify]: Simplify PI into PI 9.383 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.383 * [taylor]: Taking taylor expansion of b in b 9.383 * [backup-simplify]: Simplify 0 into 0 9.383 * [backup-simplify]: Simplify 1 into 1 9.384 * [backup-simplify]: Simplify (* 1 1) into 1 9.384 * [backup-simplify]: Simplify (/ PI 1) into PI 9.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.390 * [backup-simplify]: Simplify 0 into 0 9.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.392 * [backup-simplify]: Simplify (- 0) into 0 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 9.392 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.392 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 9.392 * [taylor]: Taking taylor expansion of -1 in b 9.392 * [backup-simplify]: Simplify -1 into -1 9.392 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) 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 (+ (/ 1 a) (/ 1 b)) in b 9.392 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.392 * [taylor]: Taking taylor expansion of a in b 9.392 * [backup-simplify]: Simplify a into a 9.392 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.392 * [taylor]: Taking taylor expansion of (/ 1 b) 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 (+ 0 1) into 1 9.394 * [backup-simplify]: Simplify (/ PI 1) into PI 9.394 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 9.394 * [taylor]: Taking taylor expansion of -1 in a 9.394 * [backup-simplify]: Simplify -1 into -1 9.394 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 9.394 * [taylor]: Taking taylor expansion of PI in a 9.394 * [backup-simplify]: Simplify PI into PI 9.394 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.394 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.394 * [taylor]: Taking taylor expansion of a in a 9.394 * [backup-simplify]: Simplify 0 into 0 9.394 * [backup-simplify]: Simplify 1 into 1 9.394 * [backup-simplify]: Simplify (/ 1 1) into 1 9.394 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.395 * [taylor]: Taking taylor expansion of b in a 9.395 * [backup-simplify]: Simplify b into b 9.395 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.395 * [backup-simplify]: Simplify (+ 1 0) into 1 9.396 * [backup-simplify]: Simplify (/ PI 1) into PI 9.396 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 9.396 * [taylor]: Taking taylor expansion of -1 in a 9.396 * [backup-simplify]: Simplify -1 into -1 9.396 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 9.396 * [taylor]: Taking taylor expansion of PI in a 9.396 * [backup-simplify]: Simplify PI into PI 9.396 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.396 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.396 * [taylor]: Taking taylor expansion of a in a 9.396 * [backup-simplify]: Simplify 0 into 0 9.396 * [backup-simplify]: Simplify 1 into 1 9.396 * [backup-simplify]: Simplify (/ 1 1) into 1 9.396 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.396 * [taylor]: Taking taylor expansion of b in a 9.396 * [backup-simplify]: Simplify b into b 9.396 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.397 * [backup-simplify]: Simplify (+ 1 0) into 1 9.397 * [backup-simplify]: Simplify (/ PI 1) into PI 9.398 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 9.398 * [taylor]: Taking taylor expansion of (* -1 PI) in b 9.398 * [taylor]: Taking taylor expansion of -1 in b 9.398 * [backup-simplify]: Simplify -1 into -1 9.398 * [taylor]: Taking taylor expansion of PI in b 9.398 * [backup-simplify]: Simplify PI into PI 9.399 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 9.399 * [backup-simplify]: Simplify 0 into 0 9.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.400 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 9.401 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 9.401 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.401 * [taylor]: Taking taylor expansion of PI in b 9.401 * [backup-simplify]: Simplify PI into PI 9.401 * [taylor]: Taking taylor expansion of b in b 9.401 * [backup-simplify]: Simplify 0 into 0 9.401 * [backup-simplify]: Simplify 1 into 1 9.402 * [backup-simplify]: Simplify (/ PI 1) into PI 9.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.404 * [backup-simplify]: Simplify 0 into 0 9.405 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 9.405 * [backup-simplify]: Simplify 0 into 0 9.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.407 * [backup-simplify]: Simplify (+ 0 0) into 0 9.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 9.409 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 9.409 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 9.409 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.409 * [taylor]: Taking taylor expansion of PI in b 9.409 * [backup-simplify]: Simplify PI into PI 9.409 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.409 * [taylor]: Taking taylor expansion of b in b 9.409 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify 1 into 1 9.409 * [backup-simplify]: Simplify (* 1 1) into 1 9.410 * [backup-simplify]: Simplify (/ PI 1) into PI 9.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.416 * [backup-simplify]: Simplify (- 0) into 0 9.416 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 9.418 * [backup-simplify]: Simplify (* PI (/ (/ (/ 1 (+ a b)) 2) b)) into (* 1/2 (/ PI (* b (+ a b)))) 9.418 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in (a b) around 0 9.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in b 9.418 * [taylor]: Taking taylor expansion of 1/2 in b 9.418 * [backup-simplify]: Simplify 1/2 into 1/2 9.418 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in b 9.418 * [taylor]: Taking taylor expansion of PI in b 9.418 * [backup-simplify]: Simplify PI into PI 9.418 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 9.418 * [taylor]: Taking taylor expansion of b in b 9.418 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify 1 into 1 9.418 * [taylor]: Taking taylor expansion of (+ a b) in b 9.418 * [taylor]: Taking taylor expansion of a in b 9.418 * [backup-simplify]: Simplify a into a 9.418 * [taylor]: Taking taylor expansion of b in b 9.418 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify 1 into 1 9.418 * [backup-simplify]: Simplify (+ a 0) into a 9.418 * [backup-simplify]: Simplify (* 0 a) into 0 9.418 * [backup-simplify]: Simplify (+ 0 1) into 1 9.418 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 9.419 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 9.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) 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 (/ PI (* b (+ a 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 (+ a b)) in a 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 (+ a b) 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 b in a 9.419 * [backup-simplify]: Simplify b into b 9.419 * [backup-simplify]: Simplify (+ 0 b) into b 9.419 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.419 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 9.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) 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 (/ PI (* b (+ a 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 (+ a b)) in a 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 (+ a b) 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 b in a 9.419 * [backup-simplify]: Simplify b into b 9.419 * [backup-simplify]: Simplify (+ 0 b) into b 9.419 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.419 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 9.419 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 9.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 9.420 * [taylor]: Taking taylor expansion of 1/2 in b 9.420 * [backup-simplify]: Simplify 1/2 into 1/2 9.420 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.420 * [taylor]: Taking taylor expansion of PI in b 9.420 * [backup-simplify]: Simplify PI into PI 9.420 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.420 * [taylor]: Taking taylor expansion of b in b 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 (/ PI 1) into PI 9.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 9.422 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify (+ 1 0) into 1 9.422 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 9.422 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 9.423 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 9.423 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 9.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 9.423 * [taylor]: Taking taylor expansion of 1/2 in b 9.423 * [backup-simplify]: Simplify 1/2 into 1/2 9.423 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 9.423 * [taylor]: Taking taylor expansion of PI in b 9.423 * [backup-simplify]: Simplify PI into PI 9.423 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.423 * [taylor]: Taking taylor expansion of b in b 9.423 * [backup-simplify]: Simplify 0 into 0 9.423 * [backup-simplify]: Simplify 1 into 1 9.423 * [backup-simplify]: Simplify (* 1 1) into 1 9.423 * [backup-simplify]: Simplify (* 1 1) into 1 9.424 * [backup-simplify]: Simplify (/ PI 1) into PI 9.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.436 * [backup-simplify]: Simplify (- 0) into 0 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.438 * [backup-simplify]: Simplify 0 into 0 9.438 * [backup-simplify]: Simplify (+ 0 0) into 0 9.438 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 b))) into 0 9.439 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 9.439 * [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))) 9.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) 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 (pow b 4)) 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 (pow b 4) in b 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 (* 1 1) into 1 9.440 * [backup-simplify]: Simplify (* 1 1) into 1 9.440 * [backup-simplify]: Simplify (/ PI 1) into PI 9.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.446 * [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.449 * [backup-simplify]: Simplify (- 0) into 0 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.451 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify (* PI (/ (/ (/ 1 (+ (/ 1 a) (/ 1 b))) 2) (/ 1 b))) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 9.451 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 9.451 * [taylor]: Taking taylor expansion of 1/2 in b 9.451 * [backup-simplify]: Simplify 1/2 into 1/2 9.451 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 9.451 * [taylor]: Taking taylor expansion of (* b PI) in b 9.451 * [taylor]: Taking taylor expansion of b in b 9.451 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify 1 into 1 9.451 * [taylor]: Taking taylor expansion of PI in b 9.451 * [backup-simplify]: Simplify PI into PI 9.451 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 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 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.451 * [taylor]: Taking taylor expansion of b in b 9.451 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify 1 into 1 9.452 * [backup-simplify]: Simplify (/ 1 1) into 1 9.452 * [backup-simplify]: Simplify (* 0 PI) into 0 9.454 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.454 * [backup-simplify]: Simplify (+ 0 1) into 1 9.455 * [backup-simplify]: Simplify (/ PI 1) into PI 9.455 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 9.455 * [taylor]: Taking taylor expansion of 1/2 in a 9.455 * [backup-simplify]: Simplify 1/2 into 1/2 9.455 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 9.455 * [taylor]: Taking taylor expansion of (* b PI) in a 9.455 * [taylor]: Taking taylor expansion of b in a 9.455 * [backup-simplify]: Simplify b into b 9.455 * [taylor]: Taking taylor expansion of PI in a 9.455 * [backup-simplify]: Simplify PI into PI 9.455 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 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 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.455 * [taylor]: Taking taylor expansion of b in a 9.455 * [backup-simplify]: Simplify b into b 9.455 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.455 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.455 * [backup-simplify]: Simplify (+ 1 0) into 1 9.456 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.456 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 9.456 * [taylor]: Taking taylor expansion of 1/2 in a 9.456 * [backup-simplify]: Simplify 1/2 into 1/2 9.456 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 9.456 * [taylor]: Taking taylor expansion of (* b PI) in a 9.456 * [taylor]: Taking taylor expansion of b in a 9.456 * [backup-simplify]: Simplify b into b 9.456 * [taylor]: Taking taylor expansion of PI in a 9.456 * [backup-simplify]: Simplify PI into PI 9.456 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.456 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.456 * [taylor]: Taking taylor expansion of a in a 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify 1 into 1 9.456 * [backup-simplify]: Simplify (/ 1 1) into 1 9.456 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.456 * [taylor]: Taking taylor expansion of b in a 9.456 * [backup-simplify]: Simplify b into b 9.456 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.456 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.456 * [backup-simplify]: Simplify (+ 1 0) into 1 9.456 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.457 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 9.457 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 9.457 * [taylor]: Taking taylor expansion of 1/2 in b 9.457 * [backup-simplify]: Simplify 1/2 into 1/2 9.457 * [taylor]: Taking taylor expansion of (* PI b) in b 9.457 * [taylor]: Taking taylor expansion of PI in b 9.457 * [backup-simplify]: Simplify PI into PI 9.457 * [taylor]: Taking taylor expansion of b in b 9.457 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify 1 into 1 9.457 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 9.458 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.459 * [backup-simplify]: Simplify (* PI 0) into 0 9.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 9.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.460 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 9.461 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 9.461 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 9.461 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 9.461 * [taylor]: Taking taylor expansion of 1/2 in b 9.461 * [backup-simplify]: Simplify 1/2 into 1/2 9.461 * [taylor]: Taking taylor expansion of PI in b 9.461 * [backup-simplify]: Simplify PI into PI 9.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.462 * [backup-simplify]: Simplify (- 0) into 0 9.462 * [backup-simplify]: Simplify 0 into 0 9.463 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.463 * [backup-simplify]: Simplify 0 into 0 9.464 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 9.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.465 * [backup-simplify]: Simplify (+ 0 0) into 0 9.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 9.466 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 9.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.466 * [taylor]: Taking taylor expansion of 1/2 in b 9.466 * [backup-simplify]: Simplify 1/2 into 1/2 9.466 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.466 * [taylor]: Taking taylor expansion of PI in b 9.466 * [backup-simplify]: Simplify PI into PI 9.466 * [taylor]: Taking taylor expansion of b in b 9.466 * [backup-simplify]: Simplify 0 into 0 9.466 * [backup-simplify]: Simplify 1 into 1 9.467 * [backup-simplify]: Simplify (/ PI 1) into PI 9.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.469 * [backup-simplify]: Simplify 0 into 0 9.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.470 * [backup-simplify]: Simplify (- 0) into 0 9.470 * [backup-simplify]: Simplify 0 into 0 9.471 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.472 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify (* PI (/ (/ (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- b)))) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 9.472 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 9.472 * [taylor]: Taking taylor expansion of 1/2 in b 9.472 * [backup-simplify]: Simplify 1/2 into 1/2 9.472 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 9.472 * [taylor]: Taking taylor expansion of (* b PI) in b 9.472 * [taylor]: Taking taylor expansion of b in b 9.472 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify 1 into 1 9.472 * [taylor]: Taking taylor expansion of PI in b 9.472 * [backup-simplify]: Simplify PI into PI 9.472 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.472 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.472 * [taylor]: Taking taylor expansion of a in b 9.472 * [backup-simplify]: Simplify a into a 9.472 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.472 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.472 * [taylor]: Taking taylor expansion of b in b 9.472 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify 1 into 1 9.472 * [backup-simplify]: Simplify (/ 1 1) into 1 9.473 * [backup-simplify]: Simplify (* 0 PI) into 0 9.474 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.474 * [backup-simplify]: Simplify (+ 0 1) into 1 9.474 * [backup-simplify]: Simplify (/ PI 1) into PI 9.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 9.474 * [taylor]: Taking taylor expansion of 1/2 in a 9.474 * [backup-simplify]: Simplify 1/2 into 1/2 9.474 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 9.474 * [taylor]: Taking taylor expansion of (* b PI) in a 9.474 * [taylor]: Taking taylor expansion of b in a 9.474 * [backup-simplify]: Simplify b into b 9.474 * [taylor]: Taking taylor expansion of PI in a 9.474 * [backup-simplify]: Simplify PI into PI 9.474 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.474 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.474 * [taylor]: Taking taylor expansion of a in a 9.475 * [backup-simplify]: Simplify 0 into 0 9.475 * [backup-simplify]: Simplify 1 into 1 9.475 * [backup-simplify]: Simplify (/ 1 1) into 1 9.475 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.475 * [taylor]: Taking taylor expansion of b in a 9.475 * [backup-simplify]: Simplify b into b 9.475 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.475 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.475 * [backup-simplify]: Simplify (+ 1 0) into 1 9.475 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 9.475 * [taylor]: Taking taylor expansion of 1/2 in a 9.475 * [backup-simplify]: Simplify 1/2 into 1/2 9.475 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 9.475 * [taylor]: Taking taylor expansion of (* b PI) in a 9.475 * [taylor]: Taking taylor expansion of b in a 9.475 * [backup-simplify]: Simplify b into b 9.475 * [taylor]: Taking taylor expansion of PI in a 9.475 * [backup-simplify]: Simplify PI into PI 9.475 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.475 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.475 * [taylor]: Taking taylor expansion of a in a 9.475 * [backup-simplify]: Simplify 0 into 0 9.475 * [backup-simplify]: Simplify 1 into 1 9.476 * [backup-simplify]: Simplify (/ 1 1) into 1 9.476 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.476 * [taylor]: Taking taylor expansion of b in a 9.476 * [backup-simplify]: Simplify b into b 9.476 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.476 * [backup-simplify]: Simplify (* b PI) into (* PI b) 9.476 * [backup-simplify]: Simplify (+ 1 0) into 1 9.476 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 9.477 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 9.477 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 9.477 * [taylor]: Taking taylor expansion of 1/2 in b 9.477 * [backup-simplify]: Simplify 1/2 into 1/2 9.477 * [taylor]: Taking taylor expansion of (* PI b) in b 9.477 * [taylor]: Taking taylor expansion of PI in b 9.477 * [backup-simplify]: Simplify PI into PI 9.477 * [taylor]: Taking taylor expansion of b in b 9.477 * [backup-simplify]: Simplify 0 into 0 9.477 * [backup-simplify]: Simplify 1 into 1 9.478 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 9.479 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.480 * [backup-simplify]: Simplify (* PI 0) into 0 9.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 9.481 * [backup-simplify]: Simplify 0 into 0 9.482 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 9.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.482 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 9.484 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 9.484 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 9.484 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 9.484 * [taylor]: Taking taylor expansion of 1/2 in b 9.484 * [backup-simplify]: Simplify 1/2 into 1/2 9.484 * [taylor]: Taking taylor expansion of PI in b 9.484 * [backup-simplify]: Simplify PI into PI 9.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.486 * [backup-simplify]: Simplify (- 0) into 0 9.486 * [backup-simplify]: Simplify 0 into 0 9.487 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.488 * [backup-simplify]: Simplify 0 into 0 9.489 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 9.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.491 * [backup-simplify]: Simplify (+ 0 0) into 0 9.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 9.493 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 9.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.493 * [taylor]: Taking taylor expansion of 1/2 in b 9.493 * [backup-simplify]: Simplify 1/2 into 1/2 9.493 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.493 * [taylor]: Taking taylor expansion of PI in b 9.493 * [backup-simplify]: Simplify PI into PI 9.493 * [taylor]: Taking taylor expansion of b in b 9.493 * [backup-simplify]: Simplify 0 into 0 9.493 * [backup-simplify]: Simplify 1 into 1 9.493 * [backup-simplify]: Simplify (/ PI 1) into PI 9.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.498 * [backup-simplify]: Simplify 0 into 0 9.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.500 * [backup-simplify]: Simplify (- 0) into 0 9.500 * [backup-simplify]: Simplify 0 into 0 9.501 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.503 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify 0 into 0 9.503 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2) 9.503 * [backup-simplify]: Simplify (/ (/ (/ 1 (+ a b)) 2) b) into (/ 1/2 (* (+ a b) b)) 9.503 * [approximate]: Taking taylor expansion of (/ 1/2 (* (+ a b) b)) in (a b) around 0 9.503 * [taylor]: Taking taylor expansion of (/ 1/2 (* (+ a b) b)) in b 9.503 * [taylor]: Taking taylor expansion of 1/2 in b 9.503 * [backup-simplify]: Simplify 1/2 into 1/2 9.503 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 9.503 * [taylor]: Taking taylor expansion of (+ a b) in b 9.503 * [taylor]: Taking taylor expansion of a in b 9.503 * [backup-simplify]: Simplify a into a 9.503 * [taylor]: Taking taylor expansion of b in b 9.503 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify 1 into 1 9.503 * [taylor]: Taking taylor expansion of b in b 9.503 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify 1 into 1 9.503 * [backup-simplify]: Simplify (+ a 0) into a 9.503 * [backup-simplify]: Simplify (* a 0) into 0 9.504 * [backup-simplify]: Simplify (+ 0 1) into 1 9.505 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 9.505 * [backup-simplify]: Simplify (/ 1/2 a) into (/ 1/2 a) 9.505 * [taylor]: Taking taylor expansion of (/ 1/2 (* (+ a b) b)) in a 9.505 * [taylor]: Taking taylor expansion of 1/2 in a 9.505 * [backup-simplify]: Simplify 1/2 into 1/2 9.505 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 9.505 * [taylor]: Taking taylor expansion of (+ a b) in a 9.505 * [taylor]: Taking taylor expansion of a in a 9.505 * [backup-simplify]: Simplify 0 into 0 9.505 * [backup-simplify]: Simplify 1 into 1 9.505 * [taylor]: Taking taylor expansion of b in a 9.505 * [backup-simplify]: Simplify b into b 9.505 * [taylor]: Taking taylor expansion of b in a 9.505 * [backup-simplify]: Simplify b into b 9.505 * [backup-simplify]: Simplify (+ 0 b) into b 9.505 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.505 * [backup-simplify]: Simplify (/ 1/2 (pow b 2)) into (/ 1/2 (pow b 2)) 9.505 * [taylor]: Taking taylor expansion of (/ 1/2 (* (+ a b) b)) in a 9.505 * [taylor]: Taking taylor expansion of 1/2 in a 9.506 * [backup-simplify]: Simplify 1/2 into 1/2 9.506 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 9.506 * [taylor]: Taking taylor expansion of (+ a b) in a 9.506 * [taylor]: Taking taylor expansion of a in a 9.506 * [backup-simplify]: Simplify 0 into 0 9.506 * [backup-simplify]: Simplify 1 into 1 9.506 * [taylor]: Taking taylor expansion of b in a 9.506 * [backup-simplify]: Simplify b into b 9.506 * [taylor]: Taking taylor expansion of b in a 9.506 * [backup-simplify]: Simplify b into b 9.506 * [backup-simplify]: Simplify (+ 0 b) into b 9.506 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.506 * [backup-simplify]: Simplify (/ 1/2 (pow b 2)) into (/ 1/2 (pow b 2)) 9.506 * [taylor]: Taking taylor expansion of (/ 1/2 (pow b 2)) in b 9.506 * [taylor]: Taking taylor expansion of 1/2 in b 9.506 * [backup-simplify]: Simplify 1/2 into 1/2 9.506 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.506 * [taylor]: Taking taylor expansion of b in b 9.506 * [backup-simplify]: Simplify 0 into 0 9.506 * [backup-simplify]: Simplify 1 into 1 9.506 * [backup-simplify]: Simplify (* 1 1) into 1 9.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.508 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify (+ 1 0) into 1 9.509 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 9.509 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ 1/2 (pow b 2)) (/ b (pow b 2))))) into (- (* 1/2 (/ 1 (pow b 3)))) 9.509 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow b 3)))) in b 9.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow b 3))) in b 9.509 * [taylor]: Taking taylor expansion of 1/2 in b 9.510 * [backup-simplify]: Simplify 1/2 into 1/2 9.510 * [taylor]: Taking taylor expansion of (/ 1 (pow b 3)) in b 9.510 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.510 * [taylor]: Taking taylor expansion of b in b 9.510 * [backup-simplify]: Simplify 0 into 0 9.510 * [backup-simplify]: Simplify 1 into 1 9.510 * [backup-simplify]: Simplify (* 1 1) into 1 9.510 * [backup-simplify]: Simplify (* 1 1) into 1 9.511 * [backup-simplify]: Simplify (/ 1 1) into 1 9.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.517 * [backup-simplify]: Simplify (- 0) into 0 9.517 * [backup-simplify]: Simplify 0 into 0 9.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.519 * [backup-simplify]: Simplify 0 into 0 9.520 * [backup-simplify]: Simplify (+ 0 0) into 0 9.520 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (* 0 b))) into 0 9.520 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ 1/2 (pow b 2)) (/ 0 (pow b 2))) (* (- (* 1/2 (/ 1 (pow b 3)))) (/ b (pow b 2))))) into (* 1/2 (/ 1 (pow b 4))) 9.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow b 4))) in b 9.520 * [taylor]: Taking taylor expansion of 1/2 in b 9.520 * [backup-simplify]: Simplify 1/2 into 1/2 9.520 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 9.520 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.520 * [taylor]: Taking taylor expansion of b in b 9.520 * [backup-simplify]: Simplify 0 into 0 9.520 * [backup-simplify]: Simplify 1 into 1 9.521 * [backup-simplify]: Simplify (* 1 1) into 1 9.521 * [backup-simplify]: Simplify (* 1 1) into 1 9.521 * [backup-simplify]: Simplify (/ 1 1) into 1 9.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.526 * [backup-simplify]: Simplify 0 into 0 9.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.529 * [backup-simplify]: Simplify (- 0) into 0 9.529 * [backup-simplify]: Simplify 0 into 0 9.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.530 * [backup-simplify]: Simplify 0 into 0 9.530 * [backup-simplify]: Simplify 0 into 0 9.531 * [backup-simplify]: Simplify (/ (/ (/ 1 (+ (/ 1 a) (/ 1 b))) 2) (/ 1 b)) into (* 1/2 (/ b (+ (/ 1 a) (/ 1 b)))) 9.531 * [approximate]: Taking taylor expansion of (* 1/2 (/ b (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (+ (/ 1 a) (/ 1 b)))) in b 9.531 * [taylor]: Taking taylor expansion of 1/2 in b 9.531 * [backup-simplify]: Simplify 1/2 into 1/2 9.531 * [taylor]: Taking taylor expansion of (/ b (+ (/ 1 a) (/ 1 b))) in b 9.531 * [taylor]: Taking taylor expansion of b in b 9.531 * [backup-simplify]: Simplify 0 into 0 9.531 * [backup-simplify]: Simplify 1 into 1 9.531 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.531 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.531 * [taylor]: Taking taylor expansion of a in b 9.531 * [backup-simplify]: Simplify a into a 9.531 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.531 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.531 * [taylor]: Taking taylor expansion of b in b 9.531 * [backup-simplify]: Simplify 0 into 0 9.531 * [backup-simplify]: Simplify 1 into 1 9.531 * [backup-simplify]: Simplify (/ 1 1) into 1 9.531 * [backup-simplify]: Simplify (+ 0 1) into 1 9.532 * [backup-simplify]: Simplify (/ 1 1) into 1 9.532 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (+ (/ 1 a) (/ 1 b)))) in a 9.532 * [taylor]: Taking taylor expansion of 1/2 in a 9.532 * [backup-simplify]: Simplify 1/2 into 1/2 9.532 * [taylor]: Taking taylor expansion of (/ b (+ (/ 1 a) (/ 1 b))) in a 9.532 * [taylor]: Taking taylor expansion of b in a 9.532 * [backup-simplify]: Simplify b into b 9.532 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.532 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.532 * [taylor]: Taking taylor expansion of a in a 9.532 * [backup-simplify]: Simplify 0 into 0 9.532 * [backup-simplify]: Simplify 1 into 1 9.532 * [backup-simplify]: Simplify (/ 1 1) into 1 9.532 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.532 * [taylor]: Taking taylor expansion of b in a 9.532 * [backup-simplify]: Simplify b into b 9.532 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.532 * [backup-simplify]: Simplify (+ 1 0) into 1 9.532 * [backup-simplify]: Simplify (/ b 1) into b 9.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (+ (/ 1 a) (/ 1 b)))) in a 9.533 * [taylor]: Taking taylor expansion of 1/2 in a 9.533 * [backup-simplify]: Simplify 1/2 into 1/2 9.533 * [taylor]: Taking taylor expansion of (/ b (+ (/ 1 a) (/ 1 b))) in a 9.533 * [taylor]: Taking taylor expansion of b in a 9.533 * [backup-simplify]: Simplify b into b 9.533 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.533 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.533 * [taylor]: Taking taylor expansion of a in a 9.533 * [backup-simplify]: Simplify 0 into 0 9.533 * [backup-simplify]: Simplify 1 into 1 9.533 * [backup-simplify]: Simplify (/ 1 1) into 1 9.533 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.533 * [taylor]: Taking taylor expansion of b in a 9.533 * [backup-simplify]: Simplify b into b 9.533 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.533 * [backup-simplify]: Simplify (+ 1 0) into 1 9.533 * [backup-simplify]: Simplify (/ b 1) into b 9.533 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 9.533 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.533 * [taylor]: Taking taylor expansion of 1/2 in b 9.533 * [backup-simplify]: Simplify 1/2 into 1/2 9.533 * [taylor]: Taking taylor expansion of b in b 9.534 * [backup-simplify]: Simplify 0 into 0 9.534 * [backup-simplify]: Simplify 1 into 1 9.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.534 * [backup-simplify]: Simplify 0 into 0 9.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.535 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ (/ 1 b) 1)))) into (- 1) 9.536 * [backup-simplify]: Simplify (+ (* 1/2 (- 1)) (* 0 b)) into (- 1/2) 9.536 * [taylor]: Taking taylor expansion of (- 1/2) in b 9.536 * [taylor]: Taking taylor expansion of 1/2 in b 9.536 * [backup-simplify]: Simplify 1/2 into 1/2 9.536 * [backup-simplify]: Simplify (- 0) into 0 9.536 * [backup-simplify]: Simplify 0 into 0 9.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.537 * [backup-simplify]: Simplify 0 into 0 9.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.538 * [backup-simplify]: Simplify (+ 0 0) into 0 9.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* (- 1) (/ (/ 1 b) 1)))) into (/ 1 b) 9.539 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 b)) (+ (* 0 (- 1)) (* 0 b))) into (* 1/2 (/ 1 b)) 9.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 9.539 * [taylor]: Taking taylor expansion of 1/2 in b 9.539 * [backup-simplify]: Simplify 1/2 into 1/2 9.539 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.539 * [taylor]: Taking taylor expansion of b in b 9.539 * [backup-simplify]: Simplify 0 into 0 9.539 * [backup-simplify]: Simplify 1 into 1 9.540 * [backup-simplify]: Simplify (/ 1 1) into 1 9.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.546 * [backup-simplify]: Simplify 0 into 0 9.547 * [backup-simplify]: Simplify (- 0) into 0 9.547 * [backup-simplify]: Simplify 0 into 0 9.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.547 * [backup-simplify]: Simplify 0 into 0 9.547 * [backup-simplify]: Simplify 0 into 0 9.548 * [backup-simplify]: Simplify (/ (/ (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- b))) into (* 1/2 (/ b (+ (/ 1 a) (/ 1 b)))) 9.548 * [approximate]: Taking taylor expansion of (* 1/2 (/ b (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (+ (/ 1 a) (/ 1 b)))) in b 9.548 * [taylor]: Taking taylor expansion of 1/2 in b 9.548 * [backup-simplify]: Simplify 1/2 into 1/2 9.548 * [taylor]: Taking taylor expansion of (/ b (+ (/ 1 a) (/ 1 b))) in b 9.548 * [taylor]: Taking taylor expansion of b in b 9.548 * [backup-simplify]: Simplify 0 into 0 9.548 * [backup-simplify]: Simplify 1 into 1 9.548 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.548 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.548 * [taylor]: Taking taylor expansion of a in b 9.548 * [backup-simplify]: Simplify a into a 9.548 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.548 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.548 * [taylor]: Taking taylor expansion of b in b 9.548 * [backup-simplify]: Simplify 0 into 0 9.548 * [backup-simplify]: Simplify 1 into 1 9.548 * [backup-simplify]: Simplify (/ 1 1) into 1 9.549 * [backup-simplify]: Simplify (+ 0 1) into 1 9.549 * [backup-simplify]: Simplify (/ 1 1) into 1 9.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (+ (/ 1 a) (/ 1 b)))) in a 9.549 * [taylor]: Taking taylor expansion of 1/2 in a 9.549 * [backup-simplify]: Simplify 1/2 into 1/2 9.549 * [taylor]: Taking taylor expansion of (/ b (+ (/ 1 a) (/ 1 b))) in a 9.549 * [taylor]: Taking taylor expansion of b in a 9.549 * [backup-simplify]: Simplify b into b 9.549 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.549 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.549 * [taylor]: Taking taylor expansion of a in a 9.549 * [backup-simplify]: Simplify 0 into 0 9.549 * [backup-simplify]: Simplify 1 into 1 9.549 * [backup-simplify]: Simplify (/ 1 1) into 1 9.549 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.549 * [taylor]: Taking taylor expansion of b in a 9.549 * [backup-simplify]: Simplify b into b 9.549 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.550 * [backup-simplify]: Simplify (+ 1 0) into 1 9.550 * [backup-simplify]: Simplify (/ b 1) into b 9.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ b (+ (/ 1 a) (/ 1 b)))) in a 9.550 * [taylor]: Taking taylor expansion of 1/2 in a 9.550 * [backup-simplify]: Simplify 1/2 into 1/2 9.550 * [taylor]: Taking taylor expansion of (/ b (+ (/ 1 a) (/ 1 b))) in a 9.550 * [taylor]: Taking taylor expansion of b in a 9.550 * [backup-simplify]: Simplify b into b 9.550 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.550 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.550 * [taylor]: Taking taylor expansion of a in a 9.550 * [backup-simplify]: Simplify 0 into 0 9.550 * [backup-simplify]: Simplify 1 into 1 9.550 * [backup-simplify]: Simplify (/ 1 1) into 1 9.550 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.550 * [taylor]: Taking taylor expansion of b in a 9.550 * [backup-simplify]: Simplify b into b 9.550 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.550 * [backup-simplify]: Simplify (+ 1 0) into 1 9.550 * [backup-simplify]: Simplify (/ b 1) into b 9.551 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 9.551 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.551 * [taylor]: Taking taylor expansion of 1/2 in b 9.551 * [backup-simplify]: Simplify 1/2 into 1/2 9.551 * [taylor]: Taking taylor expansion of b in b 9.551 * [backup-simplify]: Simplify 0 into 0 9.551 * [backup-simplify]: Simplify 1 into 1 9.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.551 * [backup-simplify]: Simplify 0 into 0 9.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.552 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ (/ 1 b) 1)))) into (- 1) 9.552 * [backup-simplify]: Simplify (+ (* 1/2 (- 1)) (* 0 b)) into (- 1/2) 9.552 * [taylor]: Taking taylor expansion of (- 1/2) in b 9.553 * [taylor]: Taking taylor expansion of 1/2 in b 9.553 * [backup-simplify]: Simplify 1/2 into 1/2 9.553 * [backup-simplify]: Simplify (- 0) into 0 9.553 * [backup-simplify]: Simplify 0 into 0 9.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.553 * [backup-simplify]: Simplify 0 into 0 9.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.555 * [backup-simplify]: Simplify (+ 0 0) into 0 9.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* (- 1) (/ (/ 1 b) 1)))) into (/ 1 b) 9.556 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 b)) (+ (* 0 (- 1)) (* 0 b))) into (* 1/2 (/ 1 b)) 9.556 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 9.556 * [taylor]: Taking taylor expansion of 1/2 in b 9.556 * [backup-simplify]: Simplify 1/2 into 1/2 9.556 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.556 * [taylor]: Taking taylor expansion of b in b 9.556 * [backup-simplify]: Simplify 0 into 0 9.556 * [backup-simplify]: Simplify 1 into 1 9.556 * [backup-simplify]: Simplify (/ 1 1) into 1 9.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.558 * [backup-simplify]: Simplify 0 into 0 9.559 * [backup-simplify]: Simplify (- 0) into 0 9.559 * [backup-simplify]: Simplify 0 into 0 9.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.559 * [backup-simplify]: Simplify 0 into 0 9.559 * [backup-simplify]: Simplify 0 into 0 9.560 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 9.560 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) a) into (* 1/2 (/ PI (* a (+ a b)))) 9.560 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 9.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 9.560 * [taylor]: Taking taylor expansion of 1/2 in b 9.560 * [backup-simplify]: Simplify 1/2 into 1/2 9.560 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 9.560 * [taylor]: Taking taylor expansion of PI in b 9.560 * [backup-simplify]: Simplify PI into PI 9.560 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 9.560 * [taylor]: Taking taylor expansion of a in b 9.560 * [backup-simplify]: Simplify a into a 9.560 * [taylor]: Taking taylor expansion of (+ a b) in b 9.560 * [taylor]: Taking taylor expansion of a in b 9.560 * [backup-simplify]: Simplify a into a 9.560 * [taylor]: Taking taylor expansion of b in b 9.560 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [backup-simplify]: Simplify (+ a 0) into a 9.560 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.560 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 9.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 9.560 * [taylor]: Taking taylor expansion of 1/2 in a 9.560 * [backup-simplify]: Simplify 1/2 into 1/2 9.560 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 9.560 * [taylor]: Taking taylor expansion of PI in a 9.560 * [backup-simplify]: Simplify PI into PI 9.560 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 9.560 * [taylor]: Taking taylor expansion of a in a 9.560 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [taylor]: Taking taylor expansion of (+ a b) in a 9.560 * [taylor]: Taking taylor expansion of a in a 9.560 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [taylor]: Taking taylor expansion of b in a 9.560 * [backup-simplify]: Simplify b into b 9.560 * [backup-simplify]: Simplify (+ 0 b) into b 9.560 * [backup-simplify]: Simplify (* 0 b) into 0 9.561 * [backup-simplify]: Simplify (+ 1 0) into 1 9.561 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 9.561 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.561 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 9.561 * [taylor]: Taking taylor expansion of 1/2 in a 9.561 * [backup-simplify]: Simplify 1/2 into 1/2 9.561 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 9.561 * [taylor]: Taking taylor expansion of PI in a 9.561 * [backup-simplify]: Simplify PI into PI 9.561 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 9.561 * [taylor]: Taking taylor expansion of a in a 9.561 * [backup-simplify]: Simplify 0 into 0 9.561 * [backup-simplify]: Simplify 1 into 1 9.561 * [taylor]: Taking taylor expansion of (+ a b) in a 9.561 * [taylor]: Taking taylor expansion of a in a 9.561 * [backup-simplify]: Simplify 0 into 0 9.561 * [backup-simplify]: Simplify 1 into 1 9.561 * [taylor]: Taking taylor expansion of b in a 9.561 * [backup-simplify]: Simplify b into b 9.562 * [backup-simplify]: Simplify (+ 0 b) into b 9.562 * [backup-simplify]: Simplify (* 0 b) into 0 9.562 * [backup-simplify]: Simplify (+ 1 0) into 1 9.562 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 9.562 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.563 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 9.563 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.563 * [taylor]: Taking taylor expansion of 1/2 in b 9.563 * [backup-simplify]: Simplify 1/2 into 1/2 9.563 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.563 * [taylor]: Taking taylor expansion of PI in b 9.563 * [backup-simplify]: Simplify PI into PI 9.563 * [taylor]: Taking taylor expansion of b in b 9.563 * [backup-simplify]: Simplify 0 into 0 9.563 * [backup-simplify]: Simplify 1 into 1 9.563 * [backup-simplify]: Simplify (/ PI 1) into PI 9.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 9.564 * [backup-simplify]: Simplify 0 into 0 9.564 * [backup-simplify]: Simplify (+ 0 0) into 0 9.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 9.565 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 9.565 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 9.565 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 9.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 9.565 * [taylor]: Taking taylor expansion of 1/2 in b 9.565 * [backup-simplify]: Simplify 1/2 into 1/2 9.565 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.565 * [taylor]: Taking taylor expansion of PI in b 9.565 * [backup-simplify]: Simplify PI into PI 9.565 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.565 * [taylor]: Taking taylor expansion of b in b 9.565 * [backup-simplify]: Simplify 0 into 0 9.565 * [backup-simplify]: Simplify 1 into 1 9.566 * [backup-simplify]: Simplify (* 1 1) into 1 9.566 * [backup-simplify]: Simplify (/ PI 1) into PI 9.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.569 * [backup-simplify]: Simplify (- 0) into 0 9.569 * [backup-simplify]: Simplify 0 into 0 9.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.570 * [backup-simplify]: Simplify 0 into 0 9.570 * [backup-simplify]: Simplify (+ 0 0) into 0 9.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 9.572 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 9.572 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 9.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 9.572 * [taylor]: Taking taylor expansion of 1/2 in b 9.572 * [backup-simplify]: Simplify 1/2 into 1/2 9.572 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 9.572 * [taylor]: Taking taylor expansion of PI in b 9.572 * [backup-simplify]: Simplify PI into PI 9.572 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.572 * [taylor]: Taking taylor expansion of b in b 9.572 * [backup-simplify]: Simplify 0 into 0 9.572 * [backup-simplify]: Simplify 1 into 1 9.572 * [backup-simplify]: Simplify (* 1 1) into 1 9.572 * [backup-simplify]: Simplify (* 1 1) into 1 9.573 * [backup-simplify]: Simplify (/ PI 1) into PI 9.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.580 * [backup-simplify]: Simplify 0 into 0 9.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.584 * [backup-simplify]: Simplify (- 0) into 0 9.584 * [backup-simplify]: Simplify 0 into 0 9.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.586 * [backup-simplify]: Simplify 0 into 0 9.587 * [backup-simplify]: Simplify 0 into 0 9.587 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 a)) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 9.587 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 9.587 * [taylor]: Taking taylor expansion of 1/2 in b 9.587 * [backup-simplify]: Simplify 1/2 into 1/2 9.587 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 9.587 * [taylor]: Taking taylor expansion of (* a PI) in b 9.587 * [taylor]: Taking taylor expansion of a in b 9.587 * [backup-simplify]: Simplify a into a 9.587 * [taylor]: Taking taylor expansion of PI in b 9.587 * [backup-simplify]: Simplify PI into PI 9.587 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.587 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.587 * [taylor]: Taking taylor expansion of a in b 9.587 * [backup-simplify]: Simplify a into a 9.587 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.587 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.587 * [taylor]: Taking taylor expansion of b in b 9.587 * [backup-simplify]: Simplify 0 into 0 9.587 * [backup-simplify]: Simplify 1 into 1 9.588 * [backup-simplify]: Simplify (/ 1 1) into 1 9.588 * [backup-simplify]: Simplify (* a PI) into (* a PI) 9.588 * [backup-simplify]: Simplify (+ 0 1) into 1 9.588 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.588 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 9.588 * [taylor]: Taking taylor expansion of 1/2 in a 9.588 * [backup-simplify]: Simplify 1/2 into 1/2 9.588 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 9.588 * [taylor]: Taking taylor expansion of (* a PI) in a 9.588 * [taylor]: Taking taylor expansion of a in a 9.588 * [backup-simplify]: Simplify 0 into 0 9.588 * [backup-simplify]: Simplify 1 into 1 9.588 * [taylor]: Taking taylor expansion of PI in a 9.589 * [backup-simplify]: Simplify PI into PI 9.589 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.589 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.589 * [taylor]: Taking taylor expansion of a in a 9.589 * [backup-simplify]: Simplify 0 into 0 9.589 * [backup-simplify]: Simplify 1 into 1 9.589 * [backup-simplify]: Simplify (/ 1 1) into 1 9.589 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.589 * [taylor]: Taking taylor expansion of b in a 9.589 * [backup-simplify]: Simplify b into b 9.589 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.590 * [backup-simplify]: Simplify (* 0 PI) into 0 9.591 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.592 * [backup-simplify]: Simplify (+ 1 0) into 1 9.592 * [backup-simplify]: Simplify (/ PI 1) into PI 9.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 9.592 * [taylor]: Taking taylor expansion of 1/2 in a 9.592 * [backup-simplify]: Simplify 1/2 into 1/2 9.592 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 9.592 * [taylor]: Taking taylor expansion of (* a PI) in a 9.592 * [taylor]: Taking taylor expansion of a in a 9.592 * [backup-simplify]: Simplify 0 into 0 9.592 * [backup-simplify]: Simplify 1 into 1 9.592 * [taylor]: Taking taylor expansion of PI in a 9.592 * [backup-simplify]: Simplify PI into PI 9.592 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.592 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.592 * [taylor]: Taking taylor expansion of a in a 9.593 * [backup-simplify]: Simplify 0 into 0 9.593 * [backup-simplify]: Simplify 1 into 1 9.593 * [backup-simplify]: Simplify (/ 1 1) into 1 9.593 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.593 * [taylor]: Taking taylor expansion of b in a 9.593 * [backup-simplify]: Simplify b into b 9.593 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.594 * [backup-simplify]: Simplify (* 0 PI) into 0 9.595 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.596 * [backup-simplify]: Simplify (+ 1 0) into 1 9.596 * [backup-simplify]: Simplify (/ PI 1) into PI 9.597 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 9.597 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 9.597 * [taylor]: Taking taylor expansion of 1/2 in b 9.597 * [backup-simplify]: Simplify 1/2 into 1/2 9.597 * [taylor]: Taking taylor expansion of PI in b 9.597 * [backup-simplify]: Simplify PI into PI 9.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 9.598 * [backup-simplify]: Simplify 0 into 0 9.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.599 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 9.601 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 9.601 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 9.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.601 * [taylor]: Taking taylor expansion of 1/2 in b 9.601 * [backup-simplify]: Simplify 1/2 into 1/2 9.601 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.601 * [taylor]: Taking taylor expansion of PI in b 9.601 * [backup-simplify]: Simplify PI into PI 9.601 * [taylor]: Taking taylor expansion of b in b 9.601 * [backup-simplify]: Simplify 0 into 0 9.601 * [backup-simplify]: Simplify 1 into 1 9.602 * [backup-simplify]: Simplify (/ PI 1) into PI 9.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.605 * [backup-simplify]: Simplify (- 0) into 0 9.605 * [backup-simplify]: Simplify 0 into 0 9.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.606 * [backup-simplify]: Simplify 0 into 0 9.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.609 * [backup-simplify]: Simplify (+ 0 0) into 0 9.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 9.611 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 9.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 9.611 * [taylor]: Taking taylor expansion of 1/2 in b 9.611 * [backup-simplify]: Simplify 1/2 into 1/2 9.611 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.611 * [taylor]: Taking taylor expansion of PI in b 9.611 * [backup-simplify]: Simplify PI into PI 9.611 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.612 * [taylor]: Taking taylor expansion of b in b 9.612 * [backup-simplify]: Simplify 0 into 0 9.612 * [backup-simplify]: Simplify 1 into 1 9.612 * [backup-simplify]: Simplify (* 1 1) into 1 9.612 * [backup-simplify]: Simplify (/ PI 1) into PI 9.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.619 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.622 * [backup-simplify]: Simplify (- 0) into 0 9.622 * [backup-simplify]: Simplify 0 into 0 9.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.623 * [backup-simplify]: Simplify 0 into 0 9.623 * [backup-simplify]: Simplify 0 into 0 9.624 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 9.624 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 9.624 * [taylor]: Taking taylor expansion of 1/2 in b 9.624 * [backup-simplify]: Simplify 1/2 into 1/2 9.624 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 9.624 * [taylor]: Taking taylor expansion of (* a PI) in b 9.624 * [taylor]: Taking taylor expansion of a in b 9.624 * [backup-simplify]: Simplify a into a 9.624 * [taylor]: Taking taylor expansion of PI in b 9.624 * [backup-simplify]: Simplify PI into PI 9.624 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.624 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.624 * [taylor]: Taking taylor expansion of a in b 9.624 * [backup-simplify]: Simplify a into a 9.624 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.624 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.624 * [taylor]: Taking taylor expansion of b in b 9.624 * [backup-simplify]: Simplify 0 into 0 9.624 * [backup-simplify]: Simplify 1 into 1 9.625 * [backup-simplify]: Simplify (/ 1 1) into 1 9.625 * [backup-simplify]: Simplify (* a PI) into (* a PI) 9.625 * [backup-simplify]: Simplify (+ 0 1) into 1 9.625 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 9.625 * [taylor]: Taking taylor expansion of 1/2 in a 9.625 * [backup-simplify]: Simplify 1/2 into 1/2 9.625 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 9.625 * [taylor]: Taking taylor expansion of (* a PI) in a 9.625 * [taylor]: Taking taylor expansion of a in a 9.625 * [backup-simplify]: Simplify 0 into 0 9.625 * [backup-simplify]: Simplify 1 into 1 9.625 * [taylor]: Taking taylor expansion of PI in a 9.625 * [backup-simplify]: Simplify PI into PI 9.626 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.626 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.626 * [taylor]: Taking taylor expansion of a in a 9.626 * [backup-simplify]: Simplify 0 into 0 9.626 * [backup-simplify]: Simplify 1 into 1 9.626 * [backup-simplify]: Simplify (/ 1 1) into 1 9.626 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.626 * [taylor]: Taking taylor expansion of b in a 9.626 * [backup-simplify]: Simplify b into b 9.626 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.627 * [backup-simplify]: Simplify (* 0 PI) into 0 9.628 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.629 * [backup-simplify]: Simplify (+ 1 0) into 1 9.629 * [backup-simplify]: Simplify (/ PI 1) into PI 9.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 9.629 * [taylor]: Taking taylor expansion of 1/2 in a 9.629 * [backup-simplify]: Simplify 1/2 into 1/2 9.629 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 9.629 * [taylor]: Taking taylor expansion of (* a PI) in a 9.629 * [taylor]: Taking taylor expansion of a in a 9.629 * [backup-simplify]: Simplify 0 into 0 9.629 * [backup-simplify]: Simplify 1 into 1 9.629 * [taylor]: Taking taylor expansion of PI in a 9.629 * [backup-simplify]: Simplify PI into PI 9.629 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.629 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.629 * [taylor]: Taking taylor expansion of a in a 9.630 * [backup-simplify]: Simplify 0 into 0 9.630 * [backup-simplify]: Simplify 1 into 1 9.630 * [backup-simplify]: Simplify (/ 1 1) into 1 9.630 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.630 * [taylor]: Taking taylor expansion of b in a 9.630 * [backup-simplify]: Simplify b into b 9.630 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.630 * [backup-simplify]: Simplify (* 0 PI) into 0 9.632 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.632 * [backup-simplify]: Simplify (+ 1 0) into 1 9.633 * [backup-simplify]: Simplify (/ PI 1) into PI 9.633 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 9.633 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 9.634 * [taylor]: Taking taylor expansion of 1/2 in b 9.634 * [backup-simplify]: Simplify 1/2 into 1/2 9.634 * [taylor]: Taking taylor expansion of PI in b 9.634 * [backup-simplify]: Simplify PI into PI 9.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 9.634 * [backup-simplify]: Simplify 0 into 0 9.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.636 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 9.637 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 9.637 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 9.638 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.638 * [taylor]: Taking taylor expansion of 1/2 in b 9.638 * [backup-simplify]: Simplify 1/2 into 1/2 9.638 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.638 * [taylor]: Taking taylor expansion of PI in b 9.638 * [backup-simplify]: Simplify PI into PI 9.638 * [taylor]: Taking taylor expansion of b in b 9.638 * [backup-simplify]: Simplify 0 into 0 9.638 * [backup-simplify]: Simplify 1 into 1 9.638 * [backup-simplify]: Simplify (/ PI 1) into PI 9.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.642 * [backup-simplify]: Simplify (- 0) into 0 9.642 * [backup-simplify]: Simplify 0 into 0 9.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.643 * [backup-simplify]: Simplify 0 into 0 9.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.646 * [backup-simplify]: Simplify (+ 0 0) into 0 9.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 9.648 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 9.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 9.648 * [taylor]: Taking taylor expansion of 1/2 in b 9.648 * [backup-simplify]: Simplify 1/2 into 1/2 9.648 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.648 * [taylor]: Taking taylor expansion of PI in b 9.649 * [backup-simplify]: Simplify PI into PI 9.649 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.649 * [taylor]: Taking taylor expansion of b in b 9.649 * [backup-simplify]: Simplify 0 into 0 9.649 * [backup-simplify]: Simplify 1 into 1 9.649 * [backup-simplify]: Simplify (* 1 1) into 1 9.650 * [backup-simplify]: Simplify (/ PI 1) into PI 9.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.657 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.657 * [backup-simplify]: Simplify 0 into 0 9.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.660 * [backup-simplify]: Simplify (- 0) into 0 9.660 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * * * [progress]: simplifying candidates 9.662 * * * * [progress]: [ 1 / 761 ] simplifiying candidate # 9.662 * * * * [progress]: [ 2 / 761 ] simplifiying candidate # 9.662 * * * * [progress]: [ 3 / 761 ] simplifiying candidate # 9.662 * * * * [progress]: [ 4 / 761 ] simplifiying candidate # 9.662 * * * * [progress]: [ 5 / 761 ] 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candidate # 9.708 * * * * [progress]: [ 754 / 761 ] simplifiying candidate # 9.708 * * * * [progress]: [ 755 / 761 ] simplifiying candidate # 9.708 * * * * [progress]: [ 756 / 761 ] simplifiying candidate # 9.708 * * * * [progress]: [ 757 / 761 ] simplifiying candidate # 9.708 * * * * [progress]: [ 758 / 761 ] simplifiying candidate # 9.708 * * * * [progress]: [ 759 / 761 ] simplifiying candidate # 9.708 * * * * [progress]: [ 760 / 761 ] simplifiying candidate # 9.708 * * * * [progress]: [ 761 / 761 ] simplifiying candidate # 9.727 * [simplify]: Simplifying: (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (* PI (/ (/ (/ 1 (+ a b)) 2) b)) (+ (log PI) (- (- (- (log (+ a b))) (log 2)) (log b))) (+ (log PI) (- (- (- 0 (log (+ a b))) (log 2)) (log b))) (+ (log PI) (- (- (- (log 1) (log (+ a b))) (log 2)) (log b))) (+ (log PI) (- (- (log (/ 1 (+ a b))) (log 2)) (log b))) (+ (log PI) (- (log (/ (/ 1 (+ a b)) 2)) (log b))) (+ (log PI) (log (/ (/ (/ 1 (+ a b)) 2) b))) (log (* PI (/ (/ (/ 1 (+ a b)) 2) b))) (exp (* PI (/ (/ (/ 1 (+ a b)) 2) b))) (* (* (* PI PI) PI) (/ (/ (/ (* (* 1 1) 1) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 2 2) 2)) (* (* b b) b))) (* (* (* PI PI) PI) (/ (/ (* (* (/ 1 (+ a b)) (/ 1 (+ a b))) (/ 1 (+ a b))) (* (* 2 2) 2)) (* (* b b) b))) (* (* (* PI PI) PI) (/ (* (* (/ (/ 1 (+ a b)) 2) (/ (/ 1 (+ a b)) 2)) (/ (/ 1 (+ a b)) 2)) (* (* b b) b))) (* (* (* PI PI) PI) (* (* (/ (/ (/ 1 (+ a b)) 2) b) (/ (/ (/ 1 (+ a b)) 2) b)) (/ (/ (/ 1 (+ a b)) 2) b))) (* (cbrt (* PI (/ (/ (/ 1 (+ a b)) 2) b))) (cbrt (* PI (/ (/ (/ 1 (+ a b)) 2) b)))) (cbrt (* PI (/ (/ (/ 1 (+ a b)) 2) b))) (* (* (* PI (/ (/ (/ 1 (+ a b)) 2) b)) (* PI (/ (/ (/ 1 (+ a b)) 2) b))) (* PI (/ (/ (/ 1 (+ a b)) 2) b))) (sqrt (* PI (/ (/ (/ 1 (+ a b)) 2) b))) (sqrt (* PI (/ (/ (/ 1 (+ a b)) 2) b))) (* (sqrt PI) (sqrt (/ (/ (/ 1 (+ a b)) 2) b))) (* (sqrt PI) (sqrt (/ (/ (/ 1 (+ a b)) 2) b))) (* (sqrt PI) (/ (sqrt (/ (/ 1 (+ a b)) 2)) (sqrt b))) (* (sqrt PI) (/ (sqrt (/ (/ 1 (+ a b)) 2)) (sqrt b))) (* (sqrt PI) (/ (/ (sqrt (/ 1 (+ a b))) (sqrt 2)) (sqrt b))) (* (sqrt PI) (/ (/ (sqrt (/ 1 (+ a b))) (sqrt 2)) (sqrt b))) (* (sqrt PI) (/ (/ (/ (sqrt 1) (sqrt (+ a b))) (sqrt 2)) (sqrt b))) (* (sqrt PI) (/ (/ (/ (sqrt 1) (sqrt (+ a b))) (sqrt 2)) (sqrt b))) (* (sqrt PI) (/ (/ (/ 1 (sqrt (+ a b))) (sqrt 2)) (sqrt b))) (* (sqrt PI) (/ (/ (/ 1 (sqrt (+ a b))) (sqrt 2)) (sqrt b))) (* PI (* (cbrt (/ (/ (/ 1 (+ a b)) 2) b)) (cbrt (/ (/ (/ 1 (+ a b)) 2) b)))) (* PI (sqrt (/ (/ (/ 1 (+ a b)) 2) b))) (* PI (/ (* (cbrt (/ (/ 1 (+ a b)) 2)) (cbrt (/ (/ 1 (+ a b)) 2))) (* (cbrt b) (cbrt b)))) (* PI (/ (* (cbrt (/ (/ 1 (+ a b)) 2)) (cbrt (/ (/ 1 (+ a b)) 2))) (sqrt b))) (* PI (/ (* (cbrt (/ (/ 1 (+ a b)) 2)) (cbrt (/ (/ 1 (+ a b)) 2))) 1)) (* PI (/ (sqrt (/ (/ 1 (+ a b)) 2)) (* (cbrt b) (cbrt b)))) (* PI (/ (sqrt (/ (/ 1 (+ a b)) 2)) (sqrt b))) (* PI (/ (sqrt (/ (/ 1 (+ a b)) 2)) 1)) (* PI (/ (/ (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) (* (cbrt 2) (cbrt 2))) (* (cbrt b) (cbrt b)))) (* PI (/ (/ (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) (* (cbrt 2) (cbrt 2))) (sqrt b))) (* PI (/ (/ (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) (* (cbrt 2) (cbrt 2))) 1)) (* PI (/ (/ (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) (sqrt 2)) (* (cbrt b) (cbrt b)))) (* PI (/ (/ (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) (sqrt 2)) (sqrt b))) (* PI (/ (/ (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) (sqrt 2)) 1)) (* PI (/ (/ (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) 1) (* (cbrt b) (cbrt b)))) (* PI (/ (/ (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) 1) (sqrt b))) (* PI (/ (/ (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b)))) 1) 1)) (* PI (/ (/ (sqrt (/ 1 (+ a b))) (* (cbrt 2) (cbrt 2))) (* (cbrt b) (cbrt b)))) (* PI (/ (/ (sqrt (/ 1 (+ a b))) (* (cbrt 2) (cbrt 2))) (sqrt b))) (* PI (/ (/ (sqrt (/ 1 (+ a b))) (* (cbrt 2) (cbrt 2))) 1)) (* PI (/ (/ (sqrt (/ 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(/ (/ (cbrt PI) (sqrt (+ a b))) (sqrt 2))) (/ a (/ (/ (cbrt PI) (sqrt (+ a b))) 2)) (/ a (/ (/ (cbrt PI) (+ a b)) (cbrt 2))) (/ a (/ (/ (cbrt PI) (+ a b)) (sqrt 2))) (/ a (/ (/ (cbrt PI) (+ a b)) 2)) (/ a (/ (/ (cbrt PI) (+ a b)) (cbrt 2))) (/ a (/ (/ (cbrt PI) (+ a b)) (sqrt 2))) (/ a (/ (/ (cbrt PI) (+ a b)) 2)) (/ a (/ (/ (sqrt PI) (cbrt (+ a b))) (cbrt 2))) (/ a (/ (/ (sqrt PI) (cbrt (+ a b))) (sqrt 2))) (/ a (/ (/ (sqrt PI) (cbrt (+ a b))) 2)) (/ a (/ (/ (sqrt PI) (sqrt (+ a b))) (cbrt 2))) (/ a (/ (/ (sqrt PI) (sqrt (+ a b))) (sqrt 2))) (/ a (/ (/ (sqrt PI) (sqrt (+ a b))) 2)) (/ a (/ (/ (sqrt PI) (+ a b)) (cbrt 2))) (/ a (/ (/ (sqrt PI) (+ a b)) (sqrt 2))) (/ a (/ (/ (sqrt PI) (+ a b)) 2)) (/ a (/ (/ (sqrt PI) (+ a b)) (cbrt 2))) (/ a (/ (/ (sqrt PI) (+ a b)) (sqrt 2))) (/ a (/ (/ (sqrt PI) (+ a b)) 2)) (/ a (/ (/ PI (cbrt (+ a b))) (cbrt 2))) (/ a (/ (/ PI (cbrt (+ a b))) (sqrt 2))) (/ a (/ (/ PI (cbrt (+ a b))) 2)) (/ a (/ (/ PI (sqrt (+ a b))) (cbrt 2))) (/ a (/ (/ PI (sqrt 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Extracting #1: cost 1658 inf + 85 11.468 * * [simplify]: Extracting #2: cost 2043 inf + 4120 11.496 * * [simplify]: Extracting #3: cost 1460 inf + 127164 11.580 * * [simplify]: Extracting #4: cost 342 inf + 427213 11.703 * * [simplify]: Extracting #5: cost 20 inf + 519863 11.812 * * [simplify]: Extracting #6: cost 0 inf + 518934 11.940 * * [simplify]: Extracting #7: cost 0 inf + 518412 12.066 * [simplify]: Simplified to: (log (/ PI (+ b a))) (log (/ PI (+ b a))) (exp (/ PI (+ b a))) (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) (cbrt (/ PI (+ b a))) (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (sqrt (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (- PI) (- (+ b a)) (* (/ (cbrt PI) (cbrt (+ b a))) (/ (cbrt PI) (cbrt (+ b a)))) (/ (cbrt PI) (cbrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ b a))) (/ (cbrt PI) (sqrt (+ b a))) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (/ (sqrt PI) (* 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(* (sqrt a) 2)) (/ PI (+ (* b (* b b)) (* (* a a) a))) (/ (+ (* a a) (* b (- b a))) (* 2 a)) (/ (/ PI (* (+ a b) (- a b))) (* (* (cbrt a) (cbrt 2)) (* (cbrt a) (cbrt 2)))) (/ (- a b) (* (cbrt a) (cbrt 2))) (/ (/ PI (* (+ a b) (- a b))) (* (* (sqrt a) (cbrt 2)) (cbrt 2))) (/ (- a b) (* (sqrt a) (cbrt 2))) (/ (/ PI (* (+ a b) (- a b))) (* (cbrt 2) (cbrt 2))) (/ (/ (- a b) (cbrt 2)) a) (/ (/ PI (* (+ a b) (- a b))) (* (* (cbrt a) (cbrt a)) (sqrt 2))) (/ (/ (- a b) (sqrt 2)) (cbrt a)) (/ (/ PI (* (+ a b) (- a b))) (* (sqrt a) (sqrt 2))) (/ (- a b) (* (sqrt a) (sqrt 2))) (/ (/ PI (* (+ a b) (- a b))) (sqrt 2)) (/ (/ (- a b) (sqrt 2)) a) (/ (/ (/ PI (* (+ a b) (- a b))) (cbrt a)) (cbrt a)) (/ (- a b) (* (cbrt a) 2)) (/ (/ PI (* (+ a b) (- a b))) (sqrt a)) (/ (/ (- a b) 2) (sqrt a)) (/ PI (* (+ a b) (- a b))) (/ (- a b) (* 2 a)) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ (/ PI (+ b a)) 2) (cbrt a)) (/ 1 (sqrt a)) (/ (/ PI (+ b a)) (* (sqrt a) 2)) 1 (/ (/ PI (+ b a)) (* 2 a)) (/ (/ (/ PI (+ b a)) (cbrt a)) (cbrt a)) (/ 1/2 (cbrt a)) (/ PI (* (sqrt a) (+ b a))) (/ 1/2 (sqrt a)) (/ PI (+ b a)) (/ 1/2 a) (/ 1 a) (/ a (/ (/ PI (+ b a)) 2)) (/ (/ PI (+ b a)) (* (* (cbrt a) (cbrt a)) 2)) (/ (/ PI (+ b a)) (* (sqrt a) 2)) (/ (/ PI (+ b a)) 2) (/ a (cbrt (/ (/ PI (+ b a)) 2))) (/ a (sqrt (/ (/ PI (+ b a)) 2))) (* (/ a (cbrt (/ PI (+ b a)))) (cbrt 2)) (* (/ a (cbrt (/ PI (+ b a)))) (sqrt 2)) (/ (* a 2) (cbrt (/ PI (+ b a)))) (/ a (/ (sqrt (/ PI (+ b a))) (cbrt 2))) (* (/ a (sqrt (/ PI (+ b a)))) (sqrt 2)) (/ a (/ (sqrt (/ PI (+ b a))) 2)) (/ (* a (cbrt 2)) (/ (cbrt PI) (cbrt (+ b a)))) (/ a (/ (/ (cbrt PI) (cbrt (+ b a))) (sqrt 2))) (/ a (/ (cbrt PI) (* 2 (cbrt (+ b a))))) (/ a (/ (cbrt PI) (* (cbrt 2) (sqrt (+ b a))))) (/ a (/ (/ (cbrt PI) (sqrt (+ b a))) (sqrt 2))) (/ a (/ (cbrt PI) (* 2 (sqrt (+ b a))))) (* (/ a (/ (cbrt PI) (+ b a))) (cbrt 2)) (* (/ a (/ (cbrt PI) (+ b a))) (sqrt 2)) (/ (* a 2) (/ (cbrt PI) (+ b a))) (* (/ a (/ (cbrt PI) (+ b a))) (cbrt 2)) (* (/ a (/ (cbrt PI) (+ b a))) (sqrt 2)) (/ (* a 2) (/ (cbrt PI) (+ b a))) (* (/ a (/ (sqrt PI) (cbrt (+ b a)))) (cbrt 2)) (* (/ a (/ (sqrt PI) (cbrt (+ b a)))) (sqrt 2)) (* (/ a (/ (sqrt PI) (cbrt (+ b a)))) 2) (* (/ a (/ (sqrt PI) (sqrt (+ b a)))) (cbrt 2)) (* (/ a (/ (sqrt PI) (sqrt (+ b a)))) (sqrt 2)) (* (/ a (/ (sqrt PI) (sqrt (+ b a)))) 2) (* (/ a (/ (sqrt PI) (+ b a))) (cbrt 2)) (/ (* a (sqrt 2)) (/ (sqrt PI) (+ b a))) (/ a (/ (sqrt PI) (* 2 (+ b a)))) (* (/ a (/ (sqrt PI) (+ b a))) (cbrt 2)) (/ (* a (sqrt 2)) (/ (sqrt PI) (+ b a))) (/ a (/ (sqrt PI) (* 2 (+ b a)))) (* (/ a (/ PI (cbrt (+ b a)))) (cbrt 2)) (* (/ a (/ PI (cbrt (+ b a)))) (sqrt 2)) (/ (* a 2) (/ PI (cbrt (+ b a)))) (* (/ a (/ PI (sqrt (+ b a)))) (cbrt 2)) (* (/ a (/ PI (sqrt (+ b a)))) (sqrt 2)) (/ a (/ (/ PI (sqrt (+ b a))) 2)) (/ (* a (cbrt 2)) (/ PI (+ b a))) (/ a (/ PI (* (sqrt 2) (+ b a)))) (/ a (/ (/ PI (+ b a)) 2)) (/ (* a (cbrt 2)) (/ PI (+ b a))) (/ a (/ PI (* (sqrt 2) (+ b a)))) (/ a (/ (/ PI (+ b a)) 2)) (/ (* a (cbrt 2)) (/ PI (+ b a))) (/ a (/ PI (* (sqrt 2) (+ b a)))) (/ a (/ (/ PI (+ b a)) 2)) (/ a (/ (/ 1 (+ b a)) (cbrt 2))) (/ (* a (sqrt 2)) (/ 1 (+ b a))) (/ (* a 2) (/ 1 (+ b a))) (/ (* a (cbrt 2)) (+ (* a a) (* b (- b a)))) (* (/ a (+ (* a a) (* b (- b a)))) (sqrt 2)) (* (/ a (+ (* a a) (* b (- b a)))) 2) (* (/ a (- a b)) (cbrt 2)) (/ a (/ (- a b) (sqrt 2))) (/ a (/ (- a b) 2)) (/ a (/ (/ PI (+ b a)) 2)) (* 2 a) (* 2 a) (real->posit16 (/ (/ PI (+ b a)) (* 2 a))) 0 0 0 0 0 0 0 0 0 0 0 0 12.253 * * * [progress]: adding candidates to table 16.496 * * [progress]: iteration 3 / 4 16.496 * * * [progress]: picking best candidate 16.536 * * * * [pick]: Picked # 16.536 * * * [progress]: localizing error 16.567 * * * [progress]: generating rewritten candidates 16.567 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 1) 16.597 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 16.617 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 16.706 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 16.788 * * * [progress]: generating series expansions 16.789 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 1) 16.789 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 16.789 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 16.789 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 16.789 * [taylor]: Taking taylor expansion of PI in b 16.789 * [backup-simplify]: Simplify PI into PI 16.789 * [taylor]: Taking taylor expansion of (+ a b) in b 16.789 * [taylor]: Taking taylor expansion of a in b 16.789 * [backup-simplify]: Simplify a into a 16.789 * [taylor]: Taking taylor expansion of b in b 16.789 * [backup-simplify]: Simplify 0 into 0 16.789 * [backup-simplify]: Simplify 1 into 1 16.789 * [backup-simplify]: Simplify (+ a 0) into a 16.789 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 16.789 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 16.789 * [taylor]: Taking taylor expansion of PI in a 16.789 * [backup-simplify]: Simplify PI into PI 16.789 * [taylor]: Taking taylor expansion of (+ a b) in a 16.789 * [taylor]: Taking taylor expansion of a in a 16.789 * [backup-simplify]: Simplify 0 into 0 16.789 * [backup-simplify]: Simplify 1 into 1 16.789 * [taylor]: Taking taylor expansion of b in a 16.789 * [backup-simplify]: Simplify b into b 16.789 * [backup-simplify]: Simplify (+ 0 b) into b 16.790 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 16.790 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 16.790 * [taylor]: Taking taylor expansion of PI in a 16.790 * [backup-simplify]: Simplify PI into PI 16.790 * [taylor]: Taking taylor expansion of (+ a b) in a 16.790 * [taylor]: Taking taylor expansion of a in a 16.790 * [backup-simplify]: Simplify 0 into 0 16.790 * [backup-simplify]: Simplify 1 into 1 16.790 * [taylor]: Taking taylor expansion of b in a 16.790 * [backup-simplify]: Simplify b into b 16.790 * [backup-simplify]: Simplify (+ 0 b) into b 16.790 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 16.790 * [taylor]: Taking taylor expansion of (/ PI b) in b 16.790 * [taylor]: Taking taylor expansion of PI in b 16.790 * [backup-simplify]: Simplify PI into PI 16.790 * [taylor]: Taking taylor expansion of b in b 16.790 * [backup-simplify]: Simplify 0 into 0 16.790 * [backup-simplify]: Simplify 1 into 1 16.791 * [backup-simplify]: Simplify (/ PI 1) into PI 16.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.792 * [backup-simplify]: Simplify 0 into 0 16.793 * [backup-simplify]: Simplify (+ 1 0) into 1 16.793 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 16.793 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 16.793 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 16.793 * [taylor]: Taking taylor expansion of PI in b 16.793 * [backup-simplify]: Simplify PI into PI 16.793 * [taylor]: Taking taylor expansion of (pow b 2) in b 16.793 * [taylor]: Taking taylor expansion of b in b 16.793 * [backup-simplify]: Simplify 0 into 0 16.793 * [backup-simplify]: Simplify 1 into 1 16.794 * [backup-simplify]: Simplify (* 1 1) into 1 16.794 * [backup-simplify]: Simplify (/ PI 1) into PI 16.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.799 * [backup-simplify]: Simplify (- 0) into 0 16.799 * [backup-simplify]: Simplify 0 into 0 16.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.800 * [backup-simplify]: Simplify 0 into 0 16.800 * [backup-simplify]: Simplify (+ 0 0) into 0 16.801 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 16.801 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 16.801 * [taylor]: Taking taylor expansion of PI in b 16.801 * [backup-simplify]: Simplify PI into PI 16.801 * [taylor]: Taking taylor expansion of (pow b 3) in b 16.801 * [taylor]: Taking taylor expansion of b in b 16.801 * [backup-simplify]: Simplify 0 into 0 16.801 * [backup-simplify]: Simplify 1 into 1 16.801 * [backup-simplify]: Simplify (* 1 1) into 1 16.802 * [backup-simplify]: Simplify (* 1 1) into 1 16.802 * [backup-simplify]: Simplify (/ PI 1) into PI 16.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.811 * [backup-simplify]: Simplify 0 into 0 16.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.813 * [backup-simplify]: Simplify (- 0) into 0 16.813 * [backup-simplify]: Simplify 0 into 0 16.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.815 * [backup-simplify]: Simplify 0 into 0 16.815 * [backup-simplify]: Simplify 0 into 0 16.815 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 16.815 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 16.815 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 16.815 * [taylor]: Taking taylor expansion of PI in b 16.815 * [backup-simplify]: Simplify PI into PI 16.815 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 16.815 * [taylor]: Taking taylor expansion of (/ 1 a) in b 16.815 * [taylor]: Taking taylor expansion of a in b 16.815 * [backup-simplify]: Simplify a into a 16.815 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.815 * [taylor]: Taking taylor expansion of (/ 1 b) in b 16.815 * [taylor]: Taking taylor expansion of b in b 16.815 * [backup-simplify]: Simplify 0 into 0 16.815 * [backup-simplify]: Simplify 1 into 1 16.816 * [backup-simplify]: Simplify (/ 1 1) into 1 16.817 * [backup-simplify]: Simplify (+ 0 1) into 1 16.817 * [backup-simplify]: Simplify (/ PI 1) into PI 16.817 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 16.817 * [taylor]: Taking taylor expansion of PI in a 16.817 * [backup-simplify]: Simplify PI into PI 16.817 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 16.817 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.817 * [taylor]: Taking taylor expansion of a in a 16.817 * [backup-simplify]: Simplify 0 into 0 16.817 * [backup-simplify]: Simplify 1 into 1 16.818 * [backup-simplify]: Simplify (/ 1 1) into 1 16.818 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.818 * [taylor]: Taking taylor expansion of b in a 16.818 * [backup-simplify]: Simplify b into b 16.818 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.818 * [backup-simplify]: Simplify (+ 1 0) into 1 16.819 * [backup-simplify]: Simplify (/ PI 1) into PI 16.819 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 16.819 * [taylor]: Taking taylor expansion of PI in a 16.819 * [backup-simplify]: Simplify PI into PI 16.819 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 16.819 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.819 * [taylor]: Taking taylor expansion of a in a 16.819 * [backup-simplify]: Simplify 0 into 0 16.819 * [backup-simplify]: Simplify 1 into 1 16.819 * [backup-simplify]: Simplify (/ 1 1) into 1 16.819 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.819 * [taylor]: Taking taylor expansion of b in a 16.820 * [backup-simplify]: Simplify b into b 16.820 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.820 * [backup-simplify]: Simplify (+ 1 0) into 1 16.821 * [backup-simplify]: Simplify (/ PI 1) into PI 16.821 * [taylor]: Taking taylor expansion of PI in b 16.821 * [backup-simplify]: Simplify PI into PI 16.821 * [backup-simplify]: Simplify 0 into 0 16.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.822 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 16.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 16.822 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 16.822 * [taylor]: Taking taylor expansion of (/ PI b) in b 16.822 * [taylor]: Taking taylor expansion of PI in b 16.822 * [backup-simplify]: Simplify PI into PI 16.822 * [taylor]: Taking taylor expansion of b in b 16.822 * [backup-simplify]: Simplify 0 into 0 16.822 * [backup-simplify]: Simplify 1 into 1 16.823 * [backup-simplify]: Simplify (/ PI 1) into PI 16.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.825 * [backup-simplify]: Simplify (- 0) into 0 16.826 * [backup-simplify]: Simplify 0 into 0 16.826 * [backup-simplify]: Simplify 0 into 0 16.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 16.827 * [backup-simplify]: Simplify (+ 0 0) into 0 16.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 16.829 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 16.829 * [taylor]: Taking taylor expansion of PI in b 16.829 * [backup-simplify]: Simplify PI into PI 16.829 * [taylor]: Taking taylor expansion of (pow b 2) in b 16.829 * [taylor]: Taking taylor expansion of b in b 16.829 * [backup-simplify]: Simplify 0 into 0 16.829 * [backup-simplify]: Simplify 1 into 1 16.829 * [backup-simplify]: Simplify (* 1 1) into 1 16.830 * [backup-simplify]: Simplify (/ PI 1) into PI 16.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.835 * [backup-simplify]: Simplify 0 into 0 16.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.837 * [backup-simplify]: Simplify (- 0) into 0 16.837 * [backup-simplify]: Simplify 0 into 0 16.837 * [backup-simplify]: Simplify 0 into 0 16.837 * [backup-simplify]: Simplify 0 into 0 16.837 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 16.837 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 16.837 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 16.837 * [taylor]: Taking taylor expansion of -1 in b 16.837 * [backup-simplify]: Simplify -1 into -1 16.837 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 16.837 * [taylor]: Taking taylor expansion of PI in b 16.837 * [backup-simplify]: Simplify PI into PI 16.837 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 16.837 * [taylor]: Taking taylor expansion of (/ 1 a) in b 16.838 * [taylor]: Taking taylor expansion of a in b 16.838 * [backup-simplify]: Simplify a into a 16.838 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.838 * [taylor]: Taking taylor expansion of (/ 1 b) in b 16.838 * [taylor]: Taking taylor expansion of b in b 16.838 * [backup-simplify]: Simplify 0 into 0 16.838 * [backup-simplify]: Simplify 1 into 1 16.838 * [backup-simplify]: Simplify (/ 1 1) into 1 16.839 * [backup-simplify]: Simplify (+ 0 1) into 1 16.839 * [backup-simplify]: Simplify (/ PI 1) into PI 16.839 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 16.839 * [taylor]: Taking taylor expansion of -1 in a 16.839 * [backup-simplify]: Simplify -1 into -1 16.839 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 16.839 * [taylor]: Taking taylor expansion of PI in a 16.839 * [backup-simplify]: Simplify PI into PI 16.839 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 16.839 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.839 * [taylor]: Taking taylor expansion of a in a 16.839 * [backup-simplify]: Simplify 0 into 0 16.839 * [backup-simplify]: Simplify 1 into 1 16.840 * [backup-simplify]: Simplify (/ 1 1) into 1 16.840 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.840 * [taylor]: Taking taylor expansion of b in a 16.840 * [backup-simplify]: Simplify b into b 16.840 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.840 * [backup-simplify]: Simplify (+ 1 0) into 1 16.841 * [backup-simplify]: Simplify (/ PI 1) into PI 16.841 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 16.841 * [taylor]: Taking taylor expansion of -1 in a 16.841 * [backup-simplify]: Simplify -1 into -1 16.841 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 16.841 * [taylor]: Taking taylor expansion of PI in a 16.841 * [backup-simplify]: Simplify PI into PI 16.841 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 16.841 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.841 * [taylor]: Taking taylor expansion of a in a 16.841 * [backup-simplify]: Simplify 0 into 0 16.841 * [backup-simplify]: Simplify 1 into 1 16.841 * [backup-simplify]: Simplify (/ 1 1) into 1 16.841 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.842 * [taylor]: Taking taylor expansion of b in a 16.842 * [backup-simplify]: Simplify b into b 16.842 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.842 * [backup-simplify]: Simplify (+ 1 0) into 1 16.843 * [backup-simplify]: Simplify (/ PI 1) into PI 16.843 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 16.843 * [taylor]: Taking taylor expansion of (* -1 PI) in b 16.843 * [taylor]: Taking taylor expansion of -1 in b 16.843 * [backup-simplify]: Simplify -1 into -1 16.843 * [taylor]: Taking taylor expansion of PI in b 16.843 * [backup-simplify]: Simplify PI into PI 16.844 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 16.844 * [backup-simplify]: Simplify 0 into 0 16.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.845 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 16.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 16.846 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 16.846 * [taylor]: Taking taylor expansion of (/ PI b) in b 16.846 * [taylor]: Taking taylor expansion of PI in b 16.846 * [backup-simplify]: Simplify PI into PI 16.846 * [taylor]: Taking taylor expansion of b in b 16.846 * [backup-simplify]: Simplify 0 into 0 16.846 * [backup-simplify]: Simplify 1 into 1 16.847 * [backup-simplify]: Simplify (/ PI 1) into PI 16.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.849 * [backup-simplify]: Simplify 0 into 0 16.850 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 16.850 * [backup-simplify]: Simplify 0 into 0 16.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 16.851 * [backup-simplify]: Simplify (+ 0 0) into 0 16.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 16.853 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 16.853 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 16.853 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 16.853 * [taylor]: Taking taylor expansion of PI in b 16.854 * [backup-simplify]: Simplify PI into PI 16.854 * [taylor]: Taking taylor expansion of (pow b 2) in b 16.854 * [taylor]: Taking taylor expansion of b in b 16.854 * [backup-simplify]: Simplify 0 into 0 16.854 * [backup-simplify]: Simplify 1 into 1 16.854 * [backup-simplify]: Simplify (* 1 1) into 1 16.855 * [backup-simplify]: Simplify (/ PI 1) into PI 16.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.859 * [backup-simplify]: Simplify (- 0) into 0 16.859 * [backup-simplify]: Simplify 0 into 0 16.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.859 * [backup-simplify]: Simplify 0 into 0 16.860 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.860 * [backup-simplify]: Simplify 0 into 0 16.860 * [backup-simplify]: Simplify 0 into 0 16.860 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 16.860 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 16.860 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 16.860 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 16.860 * [taylor]: Taking taylor expansion of PI in b 16.860 * [backup-simplify]: Simplify PI into PI 16.860 * [taylor]: Taking taylor expansion of (+ a b) in b 16.860 * [taylor]: Taking taylor expansion of a in b 16.860 * [backup-simplify]: Simplify a into a 16.860 * [taylor]: Taking taylor expansion of b in b 16.860 * [backup-simplify]: Simplify 0 into 0 16.860 * [backup-simplify]: Simplify 1 into 1 16.860 * [backup-simplify]: Simplify (+ a 0) into a 16.861 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 16.861 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 16.861 * [taylor]: Taking taylor expansion of PI in a 16.861 * [backup-simplify]: Simplify PI into PI 16.861 * [taylor]: Taking taylor expansion of (+ a b) in a 16.861 * [taylor]: Taking taylor expansion of a in a 16.861 * [backup-simplify]: Simplify 0 into 0 16.861 * [backup-simplify]: Simplify 1 into 1 16.861 * [taylor]: Taking taylor expansion of b in a 16.861 * [backup-simplify]: Simplify b into b 16.861 * [backup-simplify]: Simplify (+ 0 b) into b 16.861 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 16.861 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 16.861 * [taylor]: Taking taylor expansion of PI in a 16.861 * [backup-simplify]: Simplify PI into PI 16.861 * [taylor]: Taking taylor expansion of (+ a b) in a 16.861 * [taylor]: Taking taylor expansion of a in a 16.861 * [backup-simplify]: Simplify 0 into 0 16.861 * [backup-simplify]: Simplify 1 into 1 16.861 * [taylor]: Taking taylor expansion of b in a 16.861 * [backup-simplify]: Simplify b into b 16.861 * [backup-simplify]: Simplify (+ 0 b) into b 16.861 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 16.861 * [taylor]: Taking taylor expansion of (/ PI b) in b 16.861 * [taylor]: Taking taylor expansion of PI in b 16.861 * [backup-simplify]: Simplify PI into PI 16.861 * [taylor]: Taking taylor expansion of b in b 16.861 * [backup-simplify]: Simplify 0 into 0 16.861 * [backup-simplify]: Simplify 1 into 1 16.861 * [backup-simplify]: Simplify (/ PI 1) into PI 16.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.862 * [backup-simplify]: Simplify 0 into 0 16.862 * [backup-simplify]: Simplify (+ 1 0) into 1 16.862 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 16.862 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 16.862 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 16.862 * [taylor]: Taking taylor expansion of PI in b 16.862 * [backup-simplify]: Simplify PI into PI 16.862 * [taylor]: Taking taylor expansion of (pow b 2) in b 16.862 * [taylor]: Taking taylor expansion of b in b 16.862 * [backup-simplify]: Simplify 0 into 0 16.862 * [backup-simplify]: Simplify 1 into 1 16.863 * [backup-simplify]: Simplify (* 1 1) into 1 16.863 * [backup-simplify]: Simplify (/ PI 1) into PI 16.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.865 * [backup-simplify]: Simplify (- 0) into 0 16.865 * [backup-simplify]: Simplify 0 into 0 16.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.866 * [backup-simplify]: Simplify 0 into 0 16.866 * [backup-simplify]: Simplify (+ 0 0) into 0 16.867 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 16.867 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 16.867 * [taylor]: Taking taylor expansion of PI in b 16.867 * [backup-simplify]: Simplify PI into PI 16.867 * [taylor]: Taking taylor expansion of (pow b 3) in b 16.867 * [taylor]: Taking taylor expansion of b in b 16.867 * [backup-simplify]: Simplify 0 into 0 16.867 * [backup-simplify]: Simplify 1 into 1 16.867 * [backup-simplify]: Simplify (* 1 1) into 1 16.867 * [backup-simplify]: Simplify (* 1 1) into 1 16.867 * [backup-simplify]: Simplify (/ PI 1) into PI 16.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.872 * [backup-simplify]: Simplify 0 into 0 16.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.874 * [backup-simplify]: Simplify (- 0) into 0 16.874 * [backup-simplify]: Simplify 0 into 0 16.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.875 * [backup-simplify]: Simplify 0 into 0 16.875 * [backup-simplify]: Simplify 0 into 0 16.875 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 16.875 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 16.875 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 16.875 * [taylor]: Taking taylor expansion of PI in b 16.875 * [backup-simplify]: Simplify PI into PI 16.875 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 16.875 * [taylor]: Taking taylor expansion of (/ 1 a) in b 16.875 * [taylor]: Taking taylor expansion of a in b 16.875 * [backup-simplify]: Simplify a into a 16.875 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.875 * [taylor]: Taking taylor expansion of (/ 1 b) in b 16.875 * [taylor]: Taking taylor expansion of b in b 16.875 * [backup-simplify]: Simplify 0 into 0 16.875 * [backup-simplify]: Simplify 1 into 1 16.875 * [backup-simplify]: Simplify (/ 1 1) into 1 16.875 * [backup-simplify]: Simplify (+ 0 1) into 1 16.876 * [backup-simplify]: Simplify (/ PI 1) into PI 16.876 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 16.876 * [taylor]: Taking taylor expansion of PI in a 16.876 * [backup-simplify]: Simplify PI into PI 16.876 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 16.876 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.876 * [taylor]: Taking taylor expansion of a in a 16.876 * [backup-simplify]: Simplify 0 into 0 16.876 * [backup-simplify]: Simplify 1 into 1 16.877 * [backup-simplify]: Simplify (/ 1 1) into 1 16.877 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.877 * [taylor]: Taking taylor expansion of b in a 16.877 * [backup-simplify]: Simplify b into b 16.877 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.877 * [backup-simplify]: Simplify (+ 1 0) into 1 16.878 * [backup-simplify]: Simplify (/ PI 1) into PI 16.878 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 16.878 * [taylor]: Taking taylor expansion of PI in a 16.878 * [backup-simplify]: Simplify PI into PI 16.878 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 16.878 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.878 * [taylor]: Taking taylor expansion of a in a 16.878 * [backup-simplify]: Simplify 0 into 0 16.878 * [backup-simplify]: Simplify 1 into 1 16.878 * [backup-simplify]: Simplify (/ 1 1) into 1 16.878 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.878 * [taylor]: Taking taylor expansion of b in a 16.878 * [backup-simplify]: Simplify b into b 16.878 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.879 * [backup-simplify]: Simplify (+ 1 0) into 1 16.879 * [backup-simplify]: Simplify (/ PI 1) into PI 16.879 * [taylor]: Taking taylor expansion of PI in b 16.879 * [backup-simplify]: Simplify PI into PI 16.879 * [backup-simplify]: Simplify 0 into 0 16.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.880 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 16.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 16.881 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 16.881 * [taylor]: Taking taylor expansion of (/ PI b) in b 16.881 * [taylor]: Taking taylor expansion of PI in b 16.881 * [backup-simplify]: Simplify PI into PI 16.881 * [taylor]: Taking taylor expansion of b in b 16.881 * [backup-simplify]: Simplify 0 into 0 16.881 * [backup-simplify]: Simplify 1 into 1 16.881 * [backup-simplify]: Simplify (/ PI 1) into PI 16.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.884 * [backup-simplify]: Simplify (- 0) into 0 16.884 * [backup-simplify]: Simplify 0 into 0 16.884 * [backup-simplify]: Simplify 0 into 0 16.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 16.885 * [backup-simplify]: Simplify (+ 0 0) into 0 16.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 16.886 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 16.886 * [taylor]: Taking taylor expansion of PI in b 16.886 * [backup-simplify]: Simplify PI into PI 16.886 * [taylor]: Taking taylor expansion of (pow b 2) in b 16.886 * [taylor]: Taking taylor expansion of b in b 16.886 * [backup-simplify]: Simplify 0 into 0 16.887 * [backup-simplify]: Simplify 1 into 1 16.887 * [backup-simplify]: Simplify (* 1 1) into 1 16.887 * [backup-simplify]: Simplify (/ PI 1) into PI 16.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.900 * [backup-simplify]: Simplify 0 into 0 16.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.902 * [backup-simplify]: Simplify (- 0) into 0 16.902 * [backup-simplify]: Simplify 0 into 0 16.902 * [backup-simplify]: Simplify 0 into 0 16.902 * [backup-simplify]: Simplify 0 into 0 16.902 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 16.902 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 16.902 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 16.902 * [taylor]: Taking taylor expansion of -1 in b 16.902 * [backup-simplify]: Simplify -1 into -1 16.902 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 16.902 * [taylor]: Taking taylor expansion of PI in b 16.902 * [backup-simplify]: Simplify PI into PI 16.902 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 16.902 * [taylor]: Taking taylor expansion of (/ 1 a) in b 16.902 * [taylor]: Taking taylor expansion of a in b 16.902 * [backup-simplify]: Simplify a into a 16.902 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.902 * [taylor]: Taking taylor expansion of (/ 1 b) in b 16.902 * [taylor]: Taking taylor expansion of b in b 16.902 * [backup-simplify]: Simplify 0 into 0 16.902 * [backup-simplify]: Simplify 1 into 1 16.903 * [backup-simplify]: Simplify (/ 1 1) into 1 16.903 * [backup-simplify]: Simplify (+ 0 1) into 1 16.904 * [backup-simplify]: Simplify (/ PI 1) into PI 16.904 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 16.904 * [taylor]: Taking taylor expansion of -1 in a 16.904 * [backup-simplify]: Simplify -1 into -1 16.904 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 16.904 * [taylor]: Taking taylor expansion of PI in a 16.904 * [backup-simplify]: Simplify PI into PI 16.904 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 16.904 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.904 * [taylor]: Taking taylor expansion of a in a 16.904 * [backup-simplify]: Simplify 0 into 0 16.904 * [backup-simplify]: Simplify 1 into 1 16.904 * [backup-simplify]: Simplify (/ 1 1) into 1 16.904 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.904 * [taylor]: Taking taylor expansion of b in a 16.904 * [backup-simplify]: Simplify b into b 16.904 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.905 * [backup-simplify]: Simplify (+ 1 0) into 1 16.905 * [backup-simplify]: Simplify (/ PI 1) into PI 16.905 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 16.905 * [taylor]: Taking taylor expansion of -1 in a 16.905 * [backup-simplify]: Simplify -1 into -1 16.905 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 16.905 * [taylor]: Taking taylor expansion of PI in a 16.905 * [backup-simplify]: Simplify PI into PI 16.905 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 16.905 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.905 * [taylor]: Taking taylor expansion of a in a 16.905 * [backup-simplify]: Simplify 0 into 0 16.906 * [backup-simplify]: Simplify 1 into 1 16.906 * [backup-simplify]: Simplify (/ 1 1) into 1 16.906 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.906 * [taylor]: Taking taylor expansion of b in a 16.906 * [backup-simplify]: Simplify b into b 16.906 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.906 * [backup-simplify]: Simplify (+ 1 0) into 1 16.907 * [backup-simplify]: Simplify (/ PI 1) into PI 16.907 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 16.907 * [taylor]: Taking taylor expansion of (* -1 PI) in b 16.907 * [taylor]: Taking taylor expansion of -1 in b 16.907 * [backup-simplify]: Simplify -1 into -1 16.907 * [taylor]: Taking taylor expansion of PI in b 16.907 * [backup-simplify]: Simplify PI into PI 16.908 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 16.908 * [backup-simplify]: Simplify 0 into 0 16.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.909 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 16.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 16.910 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 16.910 * [taylor]: Taking taylor expansion of (/ PI b) in b 16.910 * [taylor]: Taking taylor expansion of PI in b 16.910 * [backup-simplify]: Simplify PI into PI 16.910 * [taylor]: Taking taylor expansion of b in b 16.910 * [backup-simplify]: Simplify 0 into 0 16.910 * [backup-simplify]: Simplify 1 into 1 16.911 * [backup-simplify]: Simplify (/ PI 1) into PI 16.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.912 * [backup-simplify]: Simplify 0 into 0 16.913 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 16.913 * [backup-simplify]: Simplify 0 into 0 16.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 16.914 * [backup-simplify]: Simplify (+ 0 0) into 0 16.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 16.915 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 16.915 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 16.915 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 16.915 * [taylor]: Taking taylor expansion of PI in b 16.915 * [backup-simplify]: Simplify PI into PI 16.915 * [taylor]: Taking taylor expansion of (pow b 2) in b 16.915 * [taylor]: Taking taylor expansion of b in b 16.915 * [backup-simplify]: Simplify 0 into 0 16.915 * [backup-simplify]: Simplify 1 into 1 16.915 * [backup-simplify]: Simplify (* 1 1) into 1 16.916 * [backup-simplify]: Simplify (/ PI 1) into PI 16.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.922 * [backup-simplify]: Simplify (- 0) into 0 16.922 * [backup-simplify]: Simplify 0 into 0 16.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.923 * [backup-simplify]: Simplify 0 into 0 16.924 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.924 * [backup-simplify]: Simplify 0 into 0 16.924 * [backup-simplify]: Simplify 0 into 0 16.924 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 16.925 * [backup-simplify]: Simplify (* (/ (/ PI (+ a b)) 2) (/ 1 b)) into (* 1/2 (/ PI (* b (+ a b)))) 16.925 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in (a b) around 0 16.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in b 16.925 * [taylor]: Taking taylor expansion of 1/2 in b 16.925 * [backup-simplify]: Simplify 1/2 into 1/2 16.925 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in b 16.925 * [taylor]: Taking taylor expansion of PI in b 16.925 * [backup-simplify]: Simplify PI into PI 16.925 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 16.925 * [taylor]: Taking taylor expansion of b in b 16.925 * [backup-simplify]: Simplify 0 into 0 16.925 * [backup-simplify]: Simplify 1 into 1 16.925 * [taylor]: Taking taylor expansion of (+ a b) in b 16.925 * [taylor]: Taking taylor expansion of a in b 16.925 * [backup-simplify]: Simplify a into a 16.925 * [taylor]: Taking taylor expansion of b in b 16.925 * [backup-simplify]: Simplify 0 into 0 16.925 * [backup-simplify]: Simplify 1 into 1 16.925 * [backup-simplify]: Simplify (+ a 0) into a 16.925 * [backup-simplify]: Simplify (* 0 a) into 0 16.926 * [backup-simplify]: Simplify (+ 0 1) into 1 16.926 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 16.926 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 16.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 16.926 * [taylor]: Taking taylor expansion of 1/2 in a 16.926 * [backup-simplify]: Simplify 1/2 into 1/2 16.926 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 16.926 * [taylor]: Taking taylor expansion of PI in a 16.926 * [backup-simplify]: Simplify PI into PI 16.927 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 16.927 * [taylor]: Taking taylor expansion of b in a 16.927 * [backup-simplify]: Simplify b into b 16.927 * [taylor]: Taking taylor expansion of (+ a b) in a 16.927 * [taylor]: Taking taylor expansion of a in a 16.927 * [backup-simplify]: Simplify 0 into 0 16.927 * [backup-simplify]: Simplify 1 into 1 16.927 * [taylor]: Taking taylor expansion of b in a 16.927 * [backup-simplify]: Simplify b into b 16.927 * [backup-simplify]: Simplify (+ 0 b) into b 16.927 * [backup-simplify]: Simplify (* b b) into (pow b 2) 16.927 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 16.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 16.927 * [taylor]: Taking taylor expansion of 1/2 in a 16.927 * [backup-simplify]: Simplify 1/2 into 1/2 16.927 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 16.928 * [taylor]: Taking taylor expansion of PI in a 16.928 * [backup-simplify]: Simplify PI into PI 16.928 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 16.928 * [taylor]: Taking taylor expansion of b in a 16.928 * [backup-simplify]: Simplify b into b 16.928 * [taylor]: Taking taylor expansion of (+ a b) in a 16.928 * [taylor]: Taking taylor expansion of a in a 16.928 * [backup-simplify]: Simplify 0 into 0 16.928 * [backup-simplify]: Simplify 1 into 1 16.928 * [taylor]: Taking taylor expansion of b in a 16.928 * [backup-simplify]: Simplify b into b 16.928 * [backup-simplify]: Simplify (+ 0 b) into b 16.928 * [backup-simplify]: Simplify (* b b) into (pow b 2) 16.928 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 16.928 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 16.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 16.928 * [taylor]: Taking taylor expansion of 1/2 in b 16.928 * [backup-simplify]: Simplify 1/2 into 1/2 16.928 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 16.928 * [taylor]: Taking taylor expansion of PI in b 16.928 * [backup-simplify]: Simplify PI into PI 16.928 * [taylor]: Taking taylor expansion of (pow b 2) in b 16.928 * [taylor]: Taking taylor expansion of b in b 16.928 * [backup-simplify]: Simplify 0 into 0 16.929 * [backup-simplify]: Simplify 1 into 1 16.929 * [backup-simplify]: Simplify (* 1 1) into 1 16.930 * [backup-simplify]: Simplify (/ PI 1) into PI 16.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 16.932 * [backup-simplify]: Simplify 0 into 0 16.933 * [backup-simplify]: Simplify (+ 1 0) into 1 16.933 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 16.933 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 16.934 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 16.934 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 16.934 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 16.934 * [taylor]: Taking taylor expansion of 1/2 in b 16.934 * [backup-simplify]: Simplify 1/2 into 1/2 16.934 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 16.934 * [taylor]: Taking taylor expansion of PI in b 16.934 * [backup-simplify]: Simplify PI into PI 16.934 * [taylor]: Taking taylor expansion of (pow b 3) in b 16.934 * [taylor]: Taking taylor expansion of b in b 16.934 * [backup-simplify]: Simplify 0 into 0 16.934 * [backup-simplify]: Simplify 1 into 1 16.934 * [backup-simplify]: Simplify (* 1 1) into 1 16.935 * [backup-simplify]: Simplify (* 1 1) into 1 16.935 * [backup-simplify]: Simplify (/ PI 1) into PI 16.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 16.939 * [backup-simplify]: Simplify (- 0) into 0 16.939 * [backup-simplify]: Simplify 0 into 0 16.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 16.941 * [backup-simplify]: Simplify 0 into 0 16.941 * [backup-simplify]: Simplify (+ 0 0) into 0 16.942 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 b))) into 0 16.942 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 16.942 * [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))) 16.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 16.942 * [taylor]: Taking taylor expansion of 1/2 in b 16.942 * [backup-simplify]: Simplify 1/2 into 1/2 16.942 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 16.942 * [taylor]: Taking taylor expansion of PI in b 16.942 * [backup-simplify]: Simplify PI into PI 16.942 * [taylor]: Taking taylor expansion of (pow b 4) in b 16.942 * [taylor]: Taking taylor expansion of b in b 16.943 * [backup-simplify]: Simplify 0 into 0 16.943 * [backup-simplify]: Simplify 1 into 1 16.943 * [backup-simplify]: Simplify (* 1 1) into 1 16.943 * [backup-simplify]: Simplify (* 1 1) into 1 16.943 * [backup-simplify]: Simplify (/ PI 1) into PI 16.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.949 * [backup-simplify]: Simplify 0 into 0 16.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.952 * [backup-simplify]: Simplify (- 0) into 0 16.952 * [backup-simplify]: Simplify 0 into 0 16.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.954 * [backup-simplify]: Simplify 0 into 0 16.954 * [backup-simplify]: Simplify 0 into 0 16.954 * [backup-simplify]: Simplify (* (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 (/ 1 b))) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 16.954 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 16.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 16.954 * [taylor]: Taking taylor expansion of 1/2 in b 16.954 * [backup-simplify]: Simplify 1/2 into 1/2 16.954 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 16.954 * [taylor]: Taking taylor expansion of (* b PI) in b 16.954 * [taylor]: Taking taylor expansion of b in b 16.954 * [backup-simplify]: Simplify 0 into 0 16.954 * [backup-simplify]: Simplify 1 into 1 16.954 * [taylor]: Taking taylor expansion of PI in b 16.954 * [backup-simplify]: Simplify PI into PI 16.954 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 16.954 * [taylor]: Taking taylor expansion of (/ 1 a) in b 16.954 * [taylor]: Taking taylor expansion of a in b 16.954 * [backup-simplify]: Simplify a into a 16.954 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.954 * [taylor]: Taking taylor expansion of (/ 1 b) in b 16.954 * [taylor]: Taking taylor expansion of b in b 16.954 * [backup-simplify]: Simplify 0 into 0 16.954 * [backup-simplify]: Simplify 1 into 1 16.954 * [backup-simplify]: Simplify (/ 1 1) into 1 16.955 * [backup-simplify]: Simplify (* 0 PI) into 0 16.956 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.956 * [backup-simplify]: Simplify (+ 0 1) into 1 16.956 * [backup-simplify]: Simplify (/ PI 1) into PI 16.956 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 16.956 * [taylor]: Taking taylor expansion of 1/2 in a 16.956 * [backup-simplify]: Simplify 1/2 into 1/2 16.956 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 16.956 * [taylor]: Taking taylor expansion of (* b PI) in a 16.956 * [taylor]: Taking taylor expansion of b in a 16.956 * [backup-simplify]: Simplify b into b 16.956 * [taylor]: Taking taylor expansion of PI in a 16.956 * [backup-simplify]: Simplify PI into PI 16.956 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 16.956 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.956 * [taylor]: Taking taylor expansion of a in a 16.956 * [backup-simplify]: Simplify 0 into 0 16.956 * [backup-simplify]: Simplify 1 into 1 16.957 * [backup-simplify]: Simplify (/ 1 1) into 1 16.957 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.957 * [taylor]: Taking taylor expansion of b in a 16.957 * [backup-simplify]: Simplify b into b 16.957 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.957 * [backup-simplify]: Simplify (* b PI) into (* PI b) 16.957 * [backup-simplify]: Simplify (+ 1 0) into 1 16.957 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 16.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 16.957 * [taylor]: Taking taylor expansion of 1/2 in a 16.957 * [backup-simplify]: Simplify 1/2 into 1/2 16.957 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 16.957 * [taylor]: Taking taylor expansion of (* b PI) in a 16.957 * [taylor]: Taking taylor expansion of b in a 16.957 * [backup-simplify]: Simplify b into b 16.957 * [taylor]: Taking taylor expansion of PI in a 16.957 * [backup-simplify]: Simplify PI into PI 16.957 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 16.957 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.957 * [taylor]: Taking taylor expansion of a in a 16.957 * [backup-simplify]: Simplify 0 into 0 16.957 * [backup-simplify]: Simplify 1 into 1 16.958 * [backup-simplify]: Simplify (/ 1 1) into 1 16.958 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.958 * [taylor]: Taking taylor expansion of b in a 16.958 * [backup-simplify]: Simplify b into b 16.958 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.958 * [backup-simplify]: Simplify (* b PI) into (* PI b) 16.958 * [backup-simplify]: Simplify (+ 1 0) into 1 16.958 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 16.958 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 16.958 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 16.958 * [taylor]: Taking taylor expansion of 1/2 in b 16.958 * [backup-simplify]: Simplify 1/2 into 1/2 16.958 * [taylor]: Taking taylor expansion of (* PI b) in b 16.958 * [taylor]: Taking taylor expansion of PI in b 16.958 * [backup-simplify]: Simplify PI into PI 16.958 * [taylor]: Taking taylor expansion of b in b 16.958 * [backup-simplify]: Simplify 0 into 0 16.958 * [backup-simplify]: Simplify 1 into 1 16.959 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 16.960 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 16.960 * [backup-simplify]: Simplify (* PI 0) into 0 16.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 16.961 * [backup-simplify]: Simplify 0 into 0 16.961 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 16.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.962 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 16.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 16.963 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 16.963 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 16.963 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 16.963 * [taylor]: Taking taylor expansion of 1/2 in b 16.963 * [backup-simplify]: Simplify 1/2 into 1/2 16.963 * [taylor]: Taking taylor expansion of PI in b 16.963 * [backup-simplify]: Simplify PI into PI 16.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 16.964 * [backup-simplify]: Simplify (- 0) into 0 16.964 * [backup-simplify]: Simplify 0 into 0 16.965 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.966 * [backup-simplify]: Simplify 0 into 0 16.967 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 16.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 16.969 * [backup-simplify]: Simplify (+ 0 0) into 0 16.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 16.971 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 16.971 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 16.971 * [taylor]: Taking taylor expansion of 1/2 in b 16.972 * [backup-simplify]: Simplify 1/2 into 1/2 16.972 * [taylor]: Taking taylor expansion of (/ PI b) in b 16.972 * [taylor]: Taking taylor expansion of PI in b 16.972 * [backup-simplify]: Simplify PI into PI 16.972 * [taylor]: Taking taylor expansion of b in b 16.972 * [backup-simplify]: Simplify 0 into 0 16.972 * [backup-simplify]: Simplify 1 into 1 16.972 * [backup-simplify]: Simplify (/ PI 1) into PI 16.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.977 * [backup-simplify]: Simplify 0 into 0 16.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.978 * [backup-simplify]: Simplify (- 0) into 0 16.978 * [backup-simplify]: Simplify 0 into 0 16.979 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 16.981 * [backup-simplify]: Simplify 0 into 0 16.981 * [backup-simplify]: Simplify 0 into 0 16.981 * [backup-simplify]: Simplify (* (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (/ 1 (- b)))) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 16.981 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 16.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 16.981 * [taylor]: Taking taylor expansion of 1/2 in b 16.981 * [backup-simplify]: Simplify 1/2 into 1/2 16.981 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 16.981 * [taylor]: Taking taylor expansion of (* b PI) in b 16.981 * [taylor]: Taking taylor expansion of b in b 16.981 * [backup-simplify]: Simplify 0 into 0 16.981 * [backup-simplify]: Simplify 1 into 1 16.981 * [taylor]: Taking taylor expansion of PI in b 16.981 * [backup-simplify]: Simplify PI into PI 16.981 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 16.981 * [taylor]: Taking taylor expansion of (/ 1 a) in b 16.982 * [taylor]: Taking taylor expansion of a in b 16.982 * [backup-simplify]: Simplify a into a 16.982 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.982 * [taylor]: Taking taylor expansion of (/ 1 b) in b 16.982 * [taylor]: Taking taylor expansion of b in b 16.982 * [backup-simplify]: Simplify 0 into 0 16.982 * [backup-simplify]: Simplify 1 into 1 16.982 * [backup-simplify]: Simplify (/ 1 1) into 1 16.983 * [backup-simplify]: Simplify (* 0 PI) into 0 16.984 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.985 * [backup-simplify]: Simplify (+ 0 1) into 1 16.985 * [backup-simplify]: Simplify (/ PI 1) into PI 16.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 16.985 * [taylor]: Taking taylor expansion of 1/2 in a 16.985 * [backup-simplify]: Simplify 1/2 into 1/2 16.985 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 16.985 * [taylor]: Taking taylor expansion of (* b PI) in a 16.985 * [taylor]: Taking taylor expansion of b in a 16.985 * [backup-simplify]: Simplify b into b 16.985 * [taylor]: Taking taylor expansion of PI in a 16.985 * [backup-simplify]: Simplify PI into PI 16.985 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 16.985 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.985 * [taylor]: Taking taylor expansion of a in a 16.985 * [backup-simplify]: Simplify 0 into 0 16.985 * [backup-simplify]: Simplify 1 into 1 16.986 * [backup-simplify]: Simplify (/ 1 1) into 1 16.986 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.986 * [taylor]: Taking taylor expansion of b in a 16.986 * [backup-simplify]: Simplify b into b 16.986 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.986 * [backup-simplify]: Simplify (* b PI) into (* PI b) 16.986 * [backup-simplify]: Simplify (+ 1 0) into 1 16.986 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 16.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 16.987 * [taylor]: Taking taylor expansion of 1/2 in a 16.987 * [backup-simplify]: Simplify 1/2 into 1/2 16.987 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 16.987 * [taylor]: Taking taylor expansion of (* b PI) in a 16.987 * [taylor]: Taking taylor expansion of b in a 16.987 * [backup-simplify]: Simplify b into b 16.987 * [taylor]: Taking taylor expansion of PI in a 16.987 * [backup-simplify]: Simplify PI into PI 16.987 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 16.987 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.987 * [taylor]: Taking taylor expansion of a in a 16.987 * [backup-simplify]: Simplify 0 into 0 16.987 * [backup-simplify]: Simplify 1 into 1 16.987 * [backup-simplify]: Simplify (/ 1 1) into 1 16.988 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.988 * [taylor]: Taking taylor expansion of b in a 16.988 * [backup-simplify]: Simplify b into b 16.988 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.988 * [backup-simplify]: Simplify (* b PI) into (* PI b) 16.988 * [backup-simplify]: Simplify (+ 1 0) into 1 16.988 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 16.988 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 16.988 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 16.988 * [taylor]: Taking taylor expansion of 1/2 in b 16.988 * [backup-simplify]: Simplify 1/2 into 1/2 16.988 * [taylor]: Taking taylor expansion of (* PI b) in b 16.989 * [taylor]: Taking taylor expansion of PI in b 16.989 * [backup-simplify]: Simplify PI into PI 16.989 * [taylor]: Taking taylor expansion of b in b 16.989 * [backup-simplify]: Simplify 0 into 0 16.989 * [backup-simplify]: Simplify 1 into 1 16.990 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 16.991 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 16.992 * [backup-simplify]: Simplify (* PI 0) into 0 16.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 16.993 * [backup-simplify]: Simplify 0 into 0 16.993 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 16.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.994 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 16.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 16.995 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 16.996 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 16.996 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 16.996 * [taylor]: Taking taylor expansion of 1/2 in b 16.996 * [backup-simplify]: Simplify 1/2 into 1/2 16.996 * [taylor]: Taking taylor expansion of PI in b 16.996 * [backup-simplify]: Simplify PI into PI 16.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 16.997 * [backup-simplify]: Simplify (- 0) into 0 16.997 * [backup-simplify]: Simplify 0 into 0 16.998 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.999 * [backup-simplify]: Simplify 0 into 0 17.000 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 17.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 17.001 * [backup-simplify]: Simplify (+ 0 0) into 0 17.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 17.003 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 17.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 17.003 * [taylor]: Taking taylor expansion of 1/2 in b 17.004 * [backup-simplify]: Simplify 1/2 into 1/2 17.004 * [taylor]: Taking taylor expansion of (/ PI b) in b 17.004 * [taylor]: Taking taylor expansion of PI in b 17.004 * [backup-simplify]: Simplify PI into PI 17.004 * [taylor]: Taking taylor expansion of b in b 17.004 * [backup-simplify]: Simplify 0 into 0 17.004 * [backup-simplify]: Simplify 1 into 1 17.004 * [backup-simplify]: Simplify (/ PI 1) into PI 17.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.008 * [backup-simplify]: Simplify 0 into 0 17.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.010 * [backup-simplify]: Simplify (- 0) into 0 17.010 * [backup-simplify]: Simplify 0 into 0 17.011 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 17.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 17.012 * [backup-simplify]: Simplify 0 into 0 17.013 * [backup-simplify]: Simplify 0 into 0 17.013 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 17.013 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) a) into (* 1/2 (/ PI (* a (+ a b)))) 17.013 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 17.013 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 17.013 * [taylor]: Taking taylor expansion of 1/2 in b 17.013 * [backup-simplify]: Simplify 1/2 into 1/2 17.013 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 17.013 * [taylor]: Taking taylor expansion of PI in b 17.013 * [backup-simplify]: Simplify PI into PI 17.013 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 17.013 * [taylor]: Taking taylor expansion of a in b 17.013 * [backup-simplify]: Simplify a into a 17.013 * [taylor]: Taking taylor expansion of (+ a b) in b 17.013 * [taylor]: Taking taylor expansion of a in b 17.013 * [backup-simplify]: Simplify a into a 17.013 * [taylor]: Taking taylor expansion of b in b 17.013 * [backup-simplify]: Simplify 0 into 0 17.013 * [backup-simplify]: Simplify 1 into 1 17.013 * [backup-simplify]: Simplify (+ a 0) into a 17.013 * [backup-simplify]: Simplify (* a a) into (pow a 2) 17.013 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 17.014 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 17.014 * [taylor]: Taking taylor expansion of 1/2 in a 17.014 * [backup-simplify]: Simplify 1/2 into 1/2 17.014 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 17.014 * [taylor]: Taking taylor expansion of PI in a 17.014 * [backup-simplify]: Simplify PI into PI 17.014 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 17.014 * [taylor]: Taking taylor expansion of a in a 17.014 * [backup-simplify]: Simplify 0 into 0 17.014 * [backup-simplify]: Simplify 1 into 1 17.014 * [taylor]: Taking taylor expansion of (+ a b) in a 17.014 * [taylor]: Taking taylor expansion of a in a 17.014 * [backup-simplify]: Simplify 0 into 0 17.014 * [backup-simplify]: Simplify 1 into 1 17.014 * [taylor]: Taking taylor expansion of b in a 17.014 * [backup-simplify]: Simplify b into b 17.014 * [backup-simplify]: Simplify (+ 0 b) into b 17.014 * [backup-simplify]: Simplify (* 0 b) into 0 17.014 * [backup-simplify]: Simplify (+ 1 0) into 1 17.015 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 17.015 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 17.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 17.015 * [taylor]: Taking taylor expansion of 1/2 in a 17.015 * [backup-simplify]: Simplify 1/2 into 1/2 17.015 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 17.015 * [taylor]: Taking taylor expansion of PI in a 17.015 * [backup-simplify]: Simplify PI into PI 17.015 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 17.015 * [taylor]: Taking taylor expansion of a in a 17.015 * [backup-simplify]: Simplify 0 into 0 17.015 * [backup-simplify]: Simplify 1 into 1 17.015 * [taylor]: Taking taylor expansion of (+ a b) in a 17.015 * [taylor]: Taking taylor expansion of a in a 17.015 * [backup-simplify]: Simplify 0 into 0 17.015 * [backup-simplify]: Simplify 1 into 1 17.015 * [taylor]: Taking taylor expansion of b in a 17.015 * [backup-simplify]: Simplify b into b 17.015 * [backup-simplify]: Simplify (+ 0 b) into b 17.015 * [backup-simplify]: Simplify (* 0 b) into 0 17.016 * [backup-simplify]: Simplify (+ 1 0) into 1 17.016 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 17.016 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 17.017 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 17.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 17.017 * [taylor]: Taking taylor expansion of 1/2 in b 17.017 * [backup-simplify]: Simplify 1/2 into 1/2 17.017 * [taylor]: Taking taylor expansion of (/ PI b) in b 17.017 * [taylor]: Taking taylor expansion of PI in b 17.017 * [backup-simplify]: Simplify PI into PI 17.017 * [taylor]: Taking taylor expansion of b in b 17.017 * [backup-simplify]: Simplify 0 into 0 17.017 * [backup-simplify]: Simplify 1 into 1 17.017 * [backup-simplify]: Simplify (/ PI 1) into PI 17.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 17.019 * [backup-simplify]: Simplify 0 into 0 17.019 * [backup-simplify]: Simplify (+ 0 0) into 0 17.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 17.020 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 17.021 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 17.021 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 17.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 17.021 * [taylor]: Taking taylor expansion of 1/2 in b 17.021 * [backup-simplify]: Simplify 1/2 into 1/2 17.021 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 17.021 * [taylor]: Taking taylor expansion of PI in b 17.021 * [backup-simplify]: Simplify PI into PI 17.021 * [taylor]: Taking taylor expansion of (pow b 2) in b 17.021 * [taylor]: Taking taylor expansion of b in b 17.021 * [backup-simplify]: Simplify 0 into 0 17.021 * [backup-simplify]: Simplify 1 into 1 17.027 * [backup-simplify]: Simplify (* 1 1) into 1 17.028 * [backup-simplify]: Simplify (/ PI 1) into PI 17.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 17.032 * [backup-simplify]: Simplify (- 0) into 0 17.032 * [backup-simplify]: Simplify 0 into 0 17.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 17.034 * [backup-simplify]: Simplify 0 into 0 17.035 * [backup-simplify]: Simplify (+ 0 0) into 0 17.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 17.036 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 17.037 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 17.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 17.037 * [taylor]: Taking taylor expansion of 1/2 in b 17.037 * [backup-simplify]: Simplify 1/2 into 1/2 17.037 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 17.037 * [taylor]: Taking taylor expansion of PI in b 17.037 * [backup-simplify]: Simplify PI into PI 17.037 * [taylor]: Taking taylor expansion of (pow b 3) in b 17.037 * [taylor]: Taking taylor expansion of b in b 17.037 * [backup-simplify]: Simplify 0 into 0 17.037 * [backup-simplify]: Simplify 1 into 1 17.038 * [backup-simplify]: Simplify (* 1 1) into 1 17.038 * [backup-simplify]: Simplify (* 1 1) into 1 17.039 * [backup-simplify]: Simplify (/ PI 1) into PI 17.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.048 * [backup-simplify]: Simplify 0 into 0 17.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.051 * [backup-simplify]: Simplify (- 0) into 0 17.051 * [backup-simplify]: Simplify 0 into 0 17.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.053 * [backup-simplify]: Simplify 0 into 0 17.053 * [backup-simplify]: Simplify 0 into 0 17.054 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 a)) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 17.054 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 17.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 17.054 * [taylor]: Taking taylor expansion of 1/2 in b 17.054 * [backup-simplify]: Simplify 1/2 into 1/2 17.054 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 17.054 * [taylor]: Taking taylor expansion of (* a PI) in b 17.054 * [taylor]: Taking taylor expansion of a in b 17.054 * [backup-simplify]: Simplify a into a 17.054 * [taylor]: Taking taylor expansion of PI in b 17.054 * [backup-simplify]: Simplify PI into PI 17.054 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 17.054 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.054 * [taylor]: Taking taylor expansion of a in b 17.054 * [backup-simplify]: Simplify a into a 17.054 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.054 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.054 * [taylor]: Taking taylor expansion of b in b 17.054 * [backup-simplify]: Simplify 0 into 0 17.054 * [backup-simplify]: Simplify 1 into 1 17.054 * [backup-simplify]: Simplify (/ 1 1) into 1 17.055 * [backup-simplify]: Simplify (* a PI) into (* a PI) 17.055 * [backup-simplify]: Simplify (+ 0 1) into 1 17.055 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 17.055 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 17.055 * [taylor]: Taking taylor expansion of 1/2 in a 17.055 * [backup-simplify]: Simplify 1/2 into 1/2 17.055 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 17.055 * [taylor]: Taking taylor expansion of (* a PI) in a 17.055 * [taylor]: Taking taylor expansion of a in a 17.055 * [backup-simplify]: Simplify 0 into 0 17.055 * [backup-simplify]: Simplify 1 into 1 17.055 * [taylor]: Taking taylor expansion of PI in a 17.055 * [backup-simplify]: Simplify PI into PI 17.055 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 17.055 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.055 * [taylor]: Taking taylor expansion of a in a 17.055 * [backup-simplify]: Simplify 0 into 0 17.055 * [backup-simplify]: Simplify 1 into 1 17.056 * [backup-simplify]: Simplify (/ 1 1) into 1 17.056 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.056 * [taylor]: Taking taylor expansion of b in a 17.056 * [backup-simplify]: Simplify b into b 17.056 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.056 * [backup-simplify]: Simplify (* 0 PI) into 0 17.058 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.058 * [backup-simplify]: Simplify (+ 1 0) into 1 17.059 * [backup-simplify]: Simplify (/ PI 1) into PI 17.059 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 17.059 * [taylor]: Taking taylor expansion of 1/2 in a 17.059 * [backup-simplify]: Simplify 1/2 into 1/2 17.059 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 17.059 * [taylor]: Taking taylor expansion of (* a PI) in a 17.059 * [taylor]: Taking taylor expansion of a in a 17.059 * [backup-simplify]: Simplify 0 into 0 17.059 * [backup-simplify]: Simplify 1 into 1 17.059 * [taylor]: Taking taylor expansion of PI in a 17.059 * [backup-simplify]: Simplify PI into PI 17.059 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 17.059 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.059 * [taylor]: Taking taylor expansion of a in a 17.059 * [backup-simplify]: Simplify 0 into 0 17.059 * [backup-simplify]: Simplify 1 into 1 17.059 * [backup-simplify]: Simplify (/ 1 1) into 1 17.059 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.060 * [taylor]: Taking taylor expansion of b in a 17.060 * [backup-simplify]: Simplify b into b 17.060 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.060 * [backup-simplify]: Simplify (* 0 PI) into 0 17.062 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.062 * [backup-simplify]: Simplify (+ 1 0) into 1 17.062 * [backup-simplify]: Simplify (/ PI 1) into PI 17.063 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 17.063 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 17.063 * [taylor]: Taking taylor expansion of 1/2 in b 17.063 * [backup-simplify]: Simplify 1/2 into 1/2 17.063 * [taylor]: Taking taylor expansion of PI in b 17.063 * [backup-simplify]: Simplify PI into PI 17.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 17.064 * [backup-simplify]: Simplify 0 into 0 17.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.065 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 17.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 17.066 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 17.066 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 17.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 17.066 * [taylor]: Taking taylor expansion of 1/2 in b 17.066 * [backup-simplify]: Simplify 1/2 into 1/2 17.066 * [taylor]: Taking taylor expansion of (/ PI b) in b 17.066 * [taylor]: Taking taylor expansion of PI in b 17.066 * [backup-simplify]: Simplify PI into PI 17.066 * [taylor]: Taking taylor expansion of b in b 17.066 * [backup-simplify]: Simplify 0 into 0 17.066 * [backup-simplify]: Simplify 1 into 1 17.066 * [backup-simplify]: Simplify (/ PI 1) into PI 17.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 17.068 * [backup-simplify]: Simplify (- 0) into 0 17.068 * [backup-simplify]: Simplify 0 into 0 17.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 17.069 * [backup-simplify]: Simplify 0 into 0 17.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 17.070 * [backup-simplify]: Simplify (+ 0 0) into 0 17.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 17.072 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 17.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 17.072 * [taylor]: Taking taylor expansion of 1/2 in b 17.072 * [backup-simplify]: Simplify 1/2 into 1/2 17.072 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 17.072 * [taylor]: Taking taylor expansion of PI in b 17.072 * [backup-simplify]: Simplify PI into PI 17.072 * [taylor]: Taking taylor expansion of (pow b 2) in b 17.072 * [taylor]: Taking taylor expansion of b in b 17.072 * [backup-simplify]: Simplify 0 into 0 17.072 * [backup-simplify]: Simplify 1 into 1 17.072 * [backup-simplify]: Simplify (* 1 1) into 1 17.072 * [backup-simplify]: Simplify (/ PI 1) into PI 17.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.076 * [backup-simplify]: Simplify 0 into 0 17.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.078 * [backup-simplify]: Simplify (- 0) into 0 17.078 * [backup-simplify]: Simplify 0 into 0 17.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.079 * [backup-simplify]: Simplify 0 into 0 17.079 * [backup-simplify]: Simplify 0 into 0 17.079 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 17.079 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 17.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 17.079 * [taylor]: Taking taylor expansion of 1/2 in b 17.079 * [backup-simplify]: Simplify 1/2 into 1/2 17.079 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 17.079 * [taylor]: Taking taylor expansion of (* a PI) in b 17.079 * [taylor]: Taking taylor expansion of a in b 17.079 * [backup-simplify]: Simplify a into a 17.079 * [taylor]: Taking taylor expansion of PI in b 17.079 * [backup-simplify]: Simplify PI into PI 17.079 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 17.079 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.079 * [taylor]: Taking taylor expansion of a in b 17.079 * [backup-simplify]: Simplify a into a 17.079 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.079 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.079 * [taylor]: Taking taylor expansion of b in b 17.079 * [backup-simplify]: Simplify 0 into 0 17.079 * [backup-simplify]: Simplify 1 into 1 17.080 * [backup-simplify]: Simplify (/ 1 1) into 1 17.080 * [backup-simplify]: Simplify (* a PI) into (* a PI) 17.080 * [backup-simplify]: Simplify (+ 0 1) into 1 17.080 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 17.080 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 17.080 * [taylor]: Taking taylor expansion of 1/2 in a 17.080 * [backup-simplify]: Simplify 1/2 into 1/2 17.080 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 17.080 * [taylor]: Taking taylor expansion of (* a PI) in a 17.080 * [taylor]: Taking taylor expansion of a in a 17.080 * [backup-simplify]: Simplify 0 into 0 17.080 * [backup-simplify]: Simplify 1 into 1 17.080 * [taylor]: Taking taylor expansion of PI in a 17.080 * [backup-simplify]: Simplify PI into PI 17.080 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 17.080 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.080 * [taylor]: Taking taylor expansion of a in a 17.080 * [backup-simplify]: Simplify 0 into 0 17.080 * [backup-simplify]: Simplify 1 into 1 17.081 * [backup-simplify]: Simplify (/ 1 1) into 1 17.081 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.081 * [taylor]: Taking taylor expansion of b in a 17.081 * [backup-simplify]: Simplify b into b 17.081 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.081 * [backup-simplify]: Simplify (* 0 PI) into 0 17.082 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.083 * [backup-simplify]: Simplify (+ 1 0) into 1 17.083 * [backup-simplify]: Simplify (/ PI 1) into PI 17.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 17.083 * [taylor]: Taking taylor expansion of 1/2 in a 17.083 * [backup-simplify]: Simplify 1/2 into 1/2 17.083 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 17.083 * [taylor]: Taking taylor expansion of (* a PI) in a 17.083 * [taylor]: Taking taylor expansion of a in a 17.083 * [backup-simplify]: Simplify 0 into 0 17.083 * [backup-simplify]: Simplify 1 into 1 17.083 * [taylor]: Taking taylor expansion of PI in a 17.083 * [backup-simplify]: Simplify PI into PI 17.083 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 17.083 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.083 * [taylor]: Taking taylor expansion of a in a 17.083 * [backup-simplify]: Simplify 0 into 0 17.083 * [backup-simplify]: Simplify 1 into 1 17.083 * [backup-simplify]: Simplify (/ 1 1) into 1 17.083 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.083 * [taylor]: Taking taylor expansion of b in a 17.083 * [backup-simplify]: Simplify b into b 17.083 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.084 * [backup-simplify]: Simplify (* 0 PI) into 0 17.085 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.085 * [backup-simplify]: Simplify (+ 1 0) into 1 17.085 * [backup-simplify]: Simplify (/ PI 1) into PI 17.086 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 17.086 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 17.086 * [taylor]: Taking taylor expansion of 1/2 in b 17.086 * [backup-simplify]: Simplify 1/2 into 1/2 17.086 * [taylor]: Taking taylor expansion of PI in b 17.086 * [backup-simplify]: Simplify PI into PI 17.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 17.086 * [backup-simplify]: Simplify 0 into 0 17.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.087 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 17.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 17.088 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 17.088 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 17.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 17.088 * [taylor]: Taking taylor expansion of 1/2 in b 17.088 * [backup-simplify]: Simplify 1/2 into 1/2 17.088 * [taylor]: Taking taylor expansion of (/ PI b) in b 17.088 * [taylor]: Taking taylor expansion of PI in b 17.088 * [backup-simplify]: Simplify PI into PI 17.088 * [taylor]: Taking taylor expansion of b in b 17.088 * [backup-simplify]: Simplify 0 into 0 17.088 * [backup-simplify]: Simplify 1 into 1 17.089 * [backup-simplify]: Simplify (/ PI 1) into PI 17.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 17.091 * [backup-simplify]: Simplify (- 0) into 0 17.091 * [backup-simplify]: Simplify 0 into 0 17.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 17.091 * [backup-simplify]: Simplify 0 into 0 17.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 17.093 * [backup-simplify]: Simplify (+ 0 0) into 0 17.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 17.095 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 17.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 17.095 * [taylor]: Taking taylor expansion of 1/2 in b 17.095 * [backup-simplify]: Simplify 1/2 into 1/2 17.096 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 17.096 * [taylor]: Taking taylor expansion of PI in b 17.096 * [backup-simplify]: Simplify PI into PI 17.096 * [taylor]: Taking taylor expansion of (pow b 2) in b 17.096 * [taylor]: Taking taylor expansion of b in b 17.096 * [backup-simplify]: Simplify 0 into 0 17.096 * [backup-simplify]: Simplify 1 into 1 17.096 * [backup-simplify]: Simplify (* 1 1) into 1 17.096 * [backup-simplify]: Simplify (/ PI 1) into PI 17.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.103 * [backup-simplify]: Simplify 0 into 0 17.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.106 * [backup-simplify]: Simplify (- 0) into 0 17.106 * [backup-simplify]: Simplify 0 into 0 17.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.107 * [backup-simplify]: Simplify 0 into 0 17.107 * [backup-simplify]: Simplify 0 into 0 17.107 * * * [progress]: simplifying candidates 17.107 * * * * [progress]: [ 1 / 445 ] simplifiying candidate # 17.107 * * * * [progress]: [ 2 / 445 ] simplifiying 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candidate # 17.138 * * * * [progress]: [ 436 / 445 ] simplifiying candidate # 17.138 * * * * [progress]: [ 437 / 445 ] simplifiying candidate # 17.138 * * * * [progress]: [ 438 / 445 ] simplifiying candidate # 17.138 * * * * [progress]: [ 439 / 445 ] simplifiying candidate # 17.138 * * * * [progress]: [ 440 / 445 ] simplifiying candidate # 17.138 * * * * [progress]: [ 441 / 445 ] simplifiying candidate # 17.138 * * * * [progress]: [ 442 / 445 ] simplifiying candidate # 17.138 * * * * [progress]: [ 443 / 445 ] simplifiying candidate # 17.138 * * * * [progress]: [ 444 / 445 ] simplifiying candidate # 17.138 * * * * [progress]: [ 445 / 445 ] simplifiying candidate # 17.143 * [simplify]: Simplifying: (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (* (/ (/ PI (+ a b)) 2) (/ 1 b)) (+ (- (- (log PI) (log (+ a b))) (log 2)) (- (log b))) (+ (- (- (log PI) (log (+ a b))) (log 2)) (- 0 (log b))) (+ (- (- (log PI) (log (+ a b))) (log 2)) (- (log 1) (log b))) (+ (- (- (log PI) (log (+ a b))) (log 2)) (log (/ 1 b))) (+ (- (log (/ PI (+ a b))) (log 2)) (- (log b))) (+ (- (log (/ PI (+ a b))) (log 2)) (- 0 (log b))) (+ (- (log (/ PI (+ a b))) (log 2)) (- (log 1) (log b))) (+ (- (log (/ PI (+ a b))) (log 2)) (log (/ 1 b))) (+ (log (/ (/ PI (+ a b)) 2)) (- (log b))) (+ (log (/ (/ PI (+ a b)) 2)) (- 0 (log b))) (+ (log (/ (/ PI (+ a b)) 2)) (- (log 1) (log b))) (+ (log (/ (/ PI (+ a b)) 2)) (log (/ 1 b))) (log (* (/ (/ PI (+ a b)) 2) (/ 1 b))) (exp (* (/ (/ PI (+ a b)) 2) (/ 1 b))) (* (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 2 2) 2)) (/ (* (* 1 1) 1) (* (* b b) b))) (* (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 2 2) 2)) (* (* (/ 1 b) (/ 1 b)) (/ 1 b))) (* (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* 2 2) 2)) (/ (* (* 1 1) 1) (* (* b b) b))) (* (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* 2 2) 2)) (* (* (/ 1 b) (/ 1 b)) (/ 1 b))) (* (* (* (/ (/ PI (+ a b)) 2) (/ (/ PI (+ a b)) 2)) (/ (/ PI (+ a b)) 2)) (/ (* (* 1 1) 1) (* (* b b) b))) (* (* (* (/ (/ PI (+ a b)) 2) (/ (/ PI (+ a b)) 2)) (/ (/ PI (+ a b)) 2)) (* (* (/ 1 b) (/ 1 b)) (/ 1 b))) (* (cbrt (* (/ (/ PI (+ a b)) 2) (/ 1 b))) (cbrt (* (/ (/ PI (+ a b)) 2) (/ 1 b)))) (cbrt (* (/ (/ PI (+ a b)) 2) (/ 1 b))) (* (* (* (/ (/ PI (+ a b)) 2) (/ 1 b)) (* (/ (/ PI (+ a b)) 2) (/ 1 b))) (* (/ (/ PI (+ a b)) 2) (/ 1 b))) (sqrt (* (/ (/ PI (+ a b)) 2) (/ 1 b))) (sqrt (* (/ (/ PI (+ a b)) 2) (/ 1 b))) (* (/ PI (+ a b)) 1) (* 2 b) (* (sqrt (/ (/ PI (+ a b)) 2)) (sqrt (/ 1 b))) (* (sqrt (/ (/ PI (+ a b)) 2)) (sqrt (/ 1 b))) (* (sqrt (/ (/ PI (+ a b)) 2)) (/ (sqrt 1) (sqrt b))) (* (sqrt (/ (/ PI (+ a b)) 2)) (/ (sqrt 1) (sqrt b))) (* (sqrt (/ (/ PI (+ a b)) 2)) (/ 1 (sqrt b))) (* (sqrt (/ (/ PI (+ a b)) 2)) (/ 1 (sqrt b))) (* (/ (sqrt (/ PI (+ a b))) (sqrt 2)) (sqrt (/ 1 b))) (* (/ (sqrt (/ PI (+ a b))) (sqrt 2)) (sqrt (/ 1 b))) (* (/ (sqrt (/ PI (+ a b))) (sqrt 2)) (/ (sqrt 1) (sqrt b))) (* (/ (sqrt (/ PI (+ a b))) (sqrt 2)) (/ (sqrt 1) (sqrt b))) (* (/ (sqrt (/ PI (+ a b))) (sqrt 2)) (/ 1 (sqrt b))) (* (/ (sqrt (/ PI (+ a b))) (sqrt 2)) (/ 1 (sqrt b))) (* (/ (/ (sqrt PI) (sqrt (+ a b))) (sqrt 2)) (sqrt (/ 1 b))) (* (/ (/ (sqrt PI) (sqrt (+ a b))) (sqrt 2)) (sqrt (/ 1 b))) (* (/ (/ (sqrt PI) (sqrt (+ a b))) (sqrt 2)) (/ (sqrt 1) (sqrt b))) (* (/ (/ (sqrt PI) (sqrt (+ a b))) (sqrt 2)) (/ (sqrt 1) (sqrt b))) (* (/ (/ (sqrt PI) (sqrt (+ a b))) (sqrt 2)) (/ 1 (sqrt b))) (* (/ (/ (sqrt PI) (sqrt (+ a b))) (sqrt 2)) (/ 1 (sqrt b))) (* (/ (/ PI (+ a b)) 2) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))) (* (/ (/ PI (+ a b)) 2) (sqrt (/ 1 b))) (* (/ (/ PI (+ a b)) 2) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt b) (cbrt b)))) (* 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(/ (+ (* a a) (* b (- b a))) (cbrt a)) (cbrt 2)) (/ (/ PI (+ (* b (* b b)) (* (* a a) a))) (* (* (sqrt a) (cbrt 2)) (cbrt 2))) (/ (+ (* a a) (* b (- b a))) (* (sqrt a) (cbrt 2))) (/ (/ PI (* (cbrt 2) (cbrt 2))) (+ (* b (* b b)) (* (* a a) a))) (/ (+ (* a a) (* b (- b a))) (* a (cbrt 2))) (/ (/ (/ PI (sqrt 2)) (+ (* b (* b b)) (* (* a a) a))) (* (cbrt a) (cbrt a))) (/ (/ (+ (* a a) (* b (- b a))) (sqrt 2)) (cbrt a)) (/ (/ (/ PI (sqrt 2)) (+ (* b (* b b)) (* (* a a) a))) (sqrt a)) (/ (/ (+ (* a a) (* b (- b a))) (sqrt 2)) (sqrt a)) (/ (/ PI (sqrt 2)) (+ (* b (* b b)) (* (* a a) a))) (/ (+ (* a a) (* b (- b a))) (* a (sqrt 2))) (/ (/ PI (* (cbrt a) (+ (* b (* b b)) (* (* a a) a)))) (cbrt a)) (/ (+ (* a a) (* b (- b a))) (* (cbrt a) 2)) (/ PI (* (sqrt a) (+ (* b (* b b)) (* (* a a) a)))) (/ (/ (+ (* a a) (* b (- b a))) (sqrt a)) 2) (/ PI (+ (* b (* b b)) (* (* a a) a))) (/ (/ (+ (* a a) (* b (- b a))) 2) a) (/ (/ PI (- (* a a) (* b b))) (* (* (cbrt a) (cbrt 2)) (* (cbrt a) (cbrt 2)))) (/ (/ (- a b) (cbrt 2)) (cbrt a)) (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ (- a b) (sqrt a)) (cbrt 2)) (/ (/ PI (- (* a a) (* b b))) (* (cbrt 2) (cbrt 2))) (/ (- a b) (* a (cbrt 2))) (/ (/ (/ PI (- (* a a) (* b b))) (* (cbrt a) (cbrt a))) (sqrt 2)) (/ (- a b) (* (cbrt a) (sqrt 2))) (/ (/ PI (- (* a a) (* b b))) (* (sqrt a) (sqrt 2))) (/ (- a b) (* (sqrt a) (sqrt 2))) (/ (/ PI (- (* a a) (* b b))) (sqrt 2)) (/ (- a b) (* a (sqrt 2))) (/ (/ PI (- (* a a) (* b b))) (* (cbrt a) (cbrt a))) (/ (- a b) (* (cbrt a) 2)) (/ (/ PI (- (* a a) (* b b))) (sqrt a)) (/ (- a b) (* (sqrt a) 2)) (/ PI (- (* a a) (* b b))) (/ (- a b) (* 2 a)) (/ 1 (* (cbrt a) (cbrt a))) (/ (/ (/ PI (+ b a)) 2) (cbrt a)) (/ 1 (sqrt a)) (/ (/ (/ PI (+ b a)) (sqrt a)) 2) 1 (/ (/ (/ PI (+ b a)) 2) a) (/ (/ PI (+ b a)) (* (cbrt a) (cbrt a))) (/ 1/2 (cbrt a)) (/ (/ PI (+ b a)) (sqrt a)) (/ 1/2 (sqrt a)) (/ PI (+ b a)) (/ 1/2 a) (/ 1 a) (/ (* a 2) (/ PI (+ b a))) (/ (/ (/ PI (+ b a)) 2) (* (cbrt a) (cbrt a))) (/ (/ (/ PI (+ b a)) (sqrt a)) 2) (/ (/ PI (+ b a)) 2) (/ a (cbrt (/ (/ PI (+ b a)) 2))) (/ a (sqrt (/ (/ PI (+ b a)) 2))) (* (/ a (cbrt (/ PI (+ b a)))) (cbrt 2)) (/ (* a (sqrt 2)) (cbrt (/ PI (+ b a)))) (* (/ a (cbrt (/ PI (+ b a)))) 2) (/ (* a (cbrt 2)) (sqrt (/ PI (+ b a)))) (/ a (/ (sqrt (/ PI (+ b a))) (sqrt 2))) (* (/ a (sqrt (/ PI (+ b a)))) 2) (/ a (/ (/ (cbrt PI) (cbrt 2)) (cbrt (+ b a)))) (/ (* a (sqrt 2)) (/ (cbrt PI) (cbrt (+ b a)))) (/ a (/ (/ (cbrt PI) 2) (cbrt (+ b a)))) (/ a (/ (cbrt PI) (* (cbrt 2) (sqrt (+ b a))))) (/ (* a (sqrt 2)) (/ (cbrt PI) (sqrt (+ b a)))) (/ (* a 2) (/ (cbrt PI) (sqrt (+ b a)))) (/ a (/ (/ (cbrt PI) (cbrt 2)) (+ b a))) (* (/ a (/ (cbrt PI) (+ b a))) (sqrt 2)) (* (/ a (/ (cbrt PI) (+ b a))) 2) (/ a (/ (/ (cbrt PI) (cbrt 2)) (+ b a))) (* (/ a (/ (cbrt PI) (+ b a))) (sqrt 2)) (* (/ a (/ (cbrt PI) (+ b a))) 2) (* (* (/ a (sqrt PI)) (cbrt (+ b a))) (cbrt 2)) (/ (* a (sqrt 2)) (/ (sqrt PI) (cbrt (+ b a)))) (/ a (/ (/ (sqrt PI) 2) (cbrt (+ b a)))) (/ a (/ (sqrt PI) (* (cbrt 2) (sqrt (+ b a))))) (/ (* a (sqrt 2)) (/ (sqrt PI) (sqrt (+ b a)))) (* (/ a (/ (sqrt PI) (sqrt (+ b a)))) 2) (/ a (/ (/ (sqrt PI) (cbrt 2)) (+ b a))) (* (* (/ a (sqrt PI)) (+ b a)) (sqrt 2)) (/ a (/ (sqrt PI) (* 2 (+ b a)))) (/ a (/ (/ (sqrt PI) (cbrt 2)) (+ b a))) (* (* (/ a (sqrt PI)) (+ b a)) (sqrt 2)) (/ a (/ (sqrt PI) (* 2 (+ b a)))) (/ (* a (cbrt 2)) (/ PI (cbrt (+ b a)))) (* (* (/ a PI) (cbrt (+ b a))) (sqrt 2)) (* (* (/ a PI) (cbrt (+ b a))) 2) (/ (* a (cbrt 2)) (/ PI (sqrt (+ b a)))) (* (* (/ a PI) (sqrt (+ b a))) (sqrt 2)) (/ (* a 2) (/ PI (sqrt (+ b a)))) (/ (* a (cbrt 2)) (/ PI (+ b a))) (/ a (/ (/ PI (sqrt 2)) (+ b a))) (/ (* a 2) (/ PI (+ b a))) (/ (* a (cbrt 2)) (/ PI (+ b a))) (/ a (/ (/ PI (sqrt 2)) (+ b a))) (/ (* a 2) (/ PI (+ b a))) (/ (* a (cbrt 2)) (/ PI (+ b a))) (/ a (/ (/ PI (sqrt 2)) (+ b a))) (/ (* a 2) (/ PI (+ b a))) (* (* (/ a 1) (+ b a)) (cbrt 2)) (/ (* a (sqrt 2)) (/ 1 (+ b a))) (/ (* a 2) (/ 1 (+ b a))) (/ (* a (cbrt 2)) (+ (* a a) (* b (- b a)))) (/ a (/ (+ (* a a) (* b (- b a))) (sqrt 2))) (/ (* a 2) (+ (* a a) (* b (- b a)))) (* (/ a (- a b)) (cbrt 2)) (* (/ a (- a b)) (sqrt 2)) (/ (* a 2) (- a b)) (/ (* a 2) (/ PI (+ b a))) (* 2 a) (* 2 a) (real->posit16 (/ (/ (/ PI (+ b a)) 2) a)) 0 0 0 0 0 0 0 0 0 0 0 0 18.745 * * * [progress]: adding candidates to table 21.244 * * [progress]: iteration 4 / 4 21.244 * * * [progress]: picking best candidate 21.269 * * * * [pick]: Picked # 21.269 * * * [progress]: localizing error 21.322 * * * [progress]: generating rewritten candidates 21.322 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 21.342 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1 2) 21.368 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) 21.396 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 21.560 * * * [progress]: generating series expansions 21.560 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 21.560 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 21.560 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 21.560 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 21.560 * [taylor]: Taking taylor expansion of PI in b 21.560 * [backup-simplify]: Simplify PI into PI 21.560 * [taylor]: Taking taylor expansion of (+ a b) in b 21.560 * [taylor]: Taking taylor expansion of a in b 21.560 * [backup-simplify]: Simplify a into a 21.560 * [taylor]: Taking taylor expansion of b in b 21.560 * [backup-simplify]: Simplify 0 into 0 21.560 * [backup-simplify]: Simplify 1 into 1 21.560 * [backup-simplify]: Simplify (+ a 0) into a 21.560 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 21.561 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 21.561 * [taylor]: Taking taylor expansion of PI in a 21.561 * [backup-simplify]: Simplify PI into PI 21.561 * [taylor]: Taking taylor expansion of (+ a b) in a 21.561 * [taylor]: Taking taylor expansion of a in a 21.561 * [backup-simplify]: Simplify 0 into 0 21.561 * [backup-simplify]: Simplify 1 into 1 21.561 * [taylor]: Taking taylor expansion of b in a 21.561 * [backup-simplify]: Simplify b into b 21.561 * [backup-simplify]: Simplify (+ 0 b) into b 21.561 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 21.561 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 21.561 * [taylor]: Taking taylor expansion of PI in a 21.561 * [backup-simplify]: Simplify PI into PI 21.561 * [taylor]: Taking taylor expansion of (+ a b) in a 21.561 * [taylor]: Taking taylor expansion of a in a 21.561 * [backup-simplify]: Simplify 0 into 0 21.561 * [backup-simplify]: Simplify 1 into 1 21.561 * [taylor]: Taking taylor expansion of b in a 21.561 * [backup-simplify]: Simplify b into b 21.561 * [backup-simplify]: Simplify (+ 0 b) into b 21.561 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 21.561 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.561 * [taylor]: Taking taylor expansion of PI in b 21.561 * [backup-simplify]: Simplify PI into PI 21.561 * [taylor]: Taking taylor expansion of b in b 21.561 * [backup-simplify]: Simplify 0 into 0 21.561 * [backup-simplify]: Simplify 1 into 1 21.562 * [backup-simplify]: Simplify (/ PI 1) into PI 21.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.562 * [backup-simplify]: Simplify 0 into 0 21.563 * [backup-simplify]: Simplify (+ 1 0) into 1 21.563 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 21.563 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 21.563 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 21.563 * [taylor]: Taking taylor expansion of PI in b 21.563 * [backup-simplify]: Simplify PI into PI 21.563 * [taylor]: Taking taylor expansion of (pow b 2) in b 21.563 * [taylor]: Taking taylor expansion of b in b 21.563 * [backup-simplify]: Simplify 0 into 0 21.563 * [backup-simplify]: Simplify 1 into 1 21.563 * [backup-simplify]: Simplify (* 1 1) into 1 21.563 * [backup-simplify]: Simplify (/ PI 1) into PI 21.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.566 * [backup-simplify]: Simplify (- 0) into 0 21.566 * [backup-simplify]: Simplify 0 into 0 21.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.566 * [backup-simplify]: Simplify 0 into 0 21.567 * [backup-simplify]: Simplify (+ 0 0) into 0 21.567 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 21.567 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 21.567 * [taylor]: Taking taylor expansion of PI in b 21.567 * [backup-simplify]: Simplify PI into PI 21.567 * [taylor]: Taking taylor expansion of (pow b 3) in b 21.567 * [taylor]: Taking taylor expansion of b in b 21.567 * [backup-simplify]: Simplify 0 into 0 21.567 * [backup-simplify]: Simplify 1 into 1 21.567 * [backup-simplify]: Simplify (* 1 1) into 1 21.568 * [backup-simplify]: Simplify (* 1 1) into 1 21.568 * [backup-simplify]: Simplify (/ PI 1) into PI 21.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.573 * [backup-simplify]: Simplify 0 into 0 21.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.574 * [backup-simplify]: Simplify (- 0) into 0 21.574 * [backup-simplify]: Simplify 0 into 0 21.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.575 * [backup-simplify]: Simplify 0 into 0 21.575 * [backup-simplify]: Simplify 0 into 0 21.575 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 21.575 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 21.575 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 21.575 * [taylor]: Taking taylor expansion of PI in b 21.575 * [backup-simplify]: Simplify PI into PI 21.575 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 21.575 * [taylor]: Taking taylor expansion of (/ 1 a) in b 21.575 * [taylor]: Taking taylor expansion of a in b 21.575 * [backup-simplify]: Simplify a into a 21.575 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 21.575 * [taylor]: Taking taylor expansion of (/ 1 b) in b 21.575 * [taylor]: Taking taylor expansion of b in b 21.575 * [backup-simplify]: Simplify 0 into 0 21.575 * [backup-simplify]: Simplify 1 into 1 21.575 * [backup-simplify]: Simplify (/ 1 1) into 1 21.576 * [backup-simplify]: Simplify (+ 0 1) into 1 21.576 * [backup-simplify]: Simplify (/ PI 1) into PI 21.576 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 21.576 * [taylor]: Taking taylor expansion of PI in a 21.576 * [backup-simplify]: Simplify PI into PI 21.576 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.576 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.576 * [taylor]: Taking taylor expansion of a in a 21.576 * [backup-simplify]: Simplify 0 into 0 21.576 * [backup-simplify]: Simplify 1 into 1 21.576 * [backup-simplify]: Simplify (/ 1 1) into 1 21.576 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.576 * [taylor]: Taking taylor expansion of b in a 21.576 * [backup-simplify]: Simplify b into b 21.576 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.577 * [backup-simplify]: Simplify (+ 1 0) into 1 21.577 * [backup-simplify]: Simplify (/ PI 1) into PI 21.577 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 21.577 * [taylor]: Taking taylor expansion of PI in a 21.577 * [backup-simplify]: Simplify PI into PI 21.577 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.577 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.577 * [taylor]: Taking taylor expansion of a in a 21.577 * [backup-simplify]: Simplify 0 into 0 21.577 * [backup-simplify]: Simplify 1 into 1 21.590 * [backup-simplify]: Simplify (/ 1 1) into 1 21.590 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.590 * [taylor]: Taking taylor expansion of b in a 21.591 * [backup-simplify]: Simplify b into b 21.591 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.591 * [backup-simplify]: Simplify (+ 1 0) into 1 21.592 * [backup-simplify]: Simplify (/ PI 1) into PI 21.592 * [taylor]: Taking taylor expansion of PI in b 21.592 * [backup-simplify]: Simplify PI into PI 21.592 * [backup-simplify]: Simplify 0 into 0 21.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.593 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 21.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 21.594 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 21.594 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.594 * [taylor]: Taking taylor expansion of PI in b 21.594 * [backup-simplify]: Simplify PI into PI 21.594 * [taylor]: Taking taylor expansion of b in b 21.594 * [backup-simplify]: Simplify 0 into 0 21.594 * [backup-simplify]: Simplify 1 into 1 21.595 * [backup-simplify]: Simplify (/ PI 1) into PI 21.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.597 * [backup-simplify]: Simplify (- 0) into 0 21.597 * [backup-simplify]: Simplify 0 into 0 21.597 * [backup-simplify]: Simplify 0 into 0 21.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 21.599 * [backup-simplify]: Simplify (+ 0 0) into 0 21.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 21.600 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 21.600 * [taylor]: Taking taylor expansion of PI in b 21.600 * [backup-simplify]: Simplify PI into PI 21.600 * [taylor]: Taking taylor expansion of (pow b 2) in b 21.600 * [taylor]: Taking taylor expansion of b in b 21.600 * [backup-simplify]: Simplify 0 into 0 21.601 * [backup-simplify]: Simplify 1 into 1 21.601 * [backup-simplify]: Simplify (* 1 1) into 1 21.601 * [backup-simplify]: Simplify (/ PI 1) into PI 21.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.606 * [backup-simplify]: Simplify 0 into 0 21.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.607 * [backup-simplify]: Simplify (- 0) into 0 21.607 * [backup-simplify]: Simplify 0 into 0 21.607 * [backup-simplify]: Simplify 0 into 0 21.607 * [backup-simplify]: Simplify 0 into 0 21.607 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 21.607 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 21.607 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 21.607 * [taylor]: Taking taylor expansion of -1 in b 21.607 * [backup-simplify]: Simplify -1 into -1 21.607 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 21.607 * [taylor]: Taking taylor expansion of PI in b 21.607 * [backup-simplify]: Simplify PI into PI 21.607 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 21.607 * [taylor]: Taking taylor expansion of (/ 1 a) in b 21.607 * [taylor]: Taking taylor expansion of a in b 21.607 * [backup-simplify]: Simplify a into a 21.607 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 21.607 * [taylor]: Taking taylor expansion of (/ 1 b) in b 21.607 * [taylor]: Taking taylor expansion of b in b 21.607 * [backup-simplify]: Simplify 0 into 0 21.607 * [backup-simplify]: Simplify 1 into 1 21.607 * [backup-simplify]: Simplify (/ 1 1) into 1 21.608 * [backup-simplify]: Simplify (+ 0 1) into 1 21.608 * [backup-simplify]: Simplify (/ PI 1) into PI 21.608 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 21.608 * [taylor]: Taking taylor expansion of -1 in a 21.608 * [backup-simplify]: Simplify -1 into -1 21.608 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 21.608 * [taylor]: Taking taylor expansion of PI in a 21.608 * [backup-simplify]: Simplify PI into PI 21.608 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.608 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.608 * [taylor]: Taking taylor expansion of a in a 21.608 * [backup-simplify]: Simplify 0 into 0 21.609 * [backup-simplify]: Simplify 1 into 1 21.609 * [backup-simplify]: Simplify (/ 1 1) into 1 21.609 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.609 * [taylor]: Taking taylor expansion of b in a 21.609 * [backup-simplify]: Simplify b into b 21.609 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.609 * [backup-simplify]: Simplify (+ 1 0) into 1 21.610 * [backup-simplify]: Simplify (/ PI 1) into PI 21.610 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 21.610 * [taylor]: Taking taylor expansion of -1 in a 21.610 * [backup-simplify]: Simplify -1 into -1 21.610 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 21.610 * [taylor]: Taking taylor expansion of PI in a 21.610 * [backup-simplify]: Simplify PI into PI 21.610 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.610 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.610 * [taylor]: Taking taylor expansion of a in a 21.610 * [backup-simplify]: Simplify 0 into 0 21.610 * [backup-simplify]: Simplify 1 into 1 21.610 * [backup-simplify]: Simplify (/ 1 1) into 1 21.610 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.610 * [taylor]: Taking taylor expansion of b in a 21.610 * [backup-simplify]: Simplify b into b 21.610 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.611 * [backup-simplify]: Simplify (+ 1 0) into 1 21.611 * [backup-simplify]: Simplify (/ PI 1) into PI 21.611 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 21.611 * [taylor]: Taking taylor expansion of (* -1 PI) in b 21.611 * [taylor]: Taking taylor expansion of -1 in b 21.611 * [backup-simplify]: Simplify -1 into -1 21.611 * [taylor]: Taking taylor expansion of PI in b 21.611 * [backup-simplify]: Simplify PI into PI 21.612 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 21.612 * [backup-simplify]: Simplify 0 into 0 21.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.613 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 21.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 21.613 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 21.613 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.613 * [taylor]: Taking taylor expansion of PI in b 21.613 * [backup-simplify]: Simplify PI into PI 21.613 * [taylor]: Taking taylor expansion of b in b 21.613 * [backup-simplify]: Simplify 0 into 0 21.613 * [backup-simplify]: Simplify 1 into 1 21.614 * [backup-simplify]: Simplify (/ PI 1) into PI 21.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.615 * [backup-simplify]: Simplify 0 into 0 21.615 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 21.615 * [backup-simplify]: Simplify 0 into 0 21.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 21.616 * [backup-simplify]: Simplify (+ 0 0) into 0 21.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 21.618 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 21.618 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 21.618 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 21.618 * [taylor]: Taking taylor expansion of PI in b 21.618 * [backup-simplify]: Simplify PI into PI 21.618 * [taylor]: Taking taylor expansion of (pow b 2) in b 21.618 * [taylor]: Taking taylor expansion of b in b 21.618 * [backup-simplify]: Simplify 0 into 0 21.618 * [backup-simplify]: Simplify 1 into 1 21.618 * [backup-simplify]: Simplify (* 1 1) into 1 21.618 * [backup-simplify]: Simplify (/ PI 1) into PI 21.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.622 * [backup-simplify]: Simplify (- 0) into 0 21.622 * [backup-simplify]: Simplify 0 into 0 21.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.622 * [backup-simplify]: Simplify 0 into 0 21.623 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.623 * [backup-simplify]: Simplify 0 into 0 21.623 * [backup-simplify]: Simplify 0 into 0 21.623 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1 2) 21.623 * [backup-simplify]: Simplify (/ (+ a b) PI) into (/ (+ a b) PI) 21.623 * [approximate]: Taking taylor expansion of (/ (+ a b) PI) in (a b) around 0 21.623 * [taylor]: Taking taylor expansion of (/ (+ a b) PI) in b 21.623 * [taylor]: Taking taylor expansion of (+ a b) in b 21.623 * [taylor]: Taking taylor expansion of a in b 21.623 * [backup-simplify]: Simplify a into a 21.623 * [taylor]: Taking taylor expansion of b in b 21.623 * [backup-simplify]: Simplify 0 into 0 21.624 * [backup-simplify]: Simplify 1 into 1 21.624 * [taylor]: Taking taylor expansion of PI in b 21.624 * [backup-simplify]: Simplify PI into PI 21.624 * [backup-simplify]: Simplify (+ a 0) into a 21.624 * [backup-simplify]: Simplify (/ a PI) into (/ a PI) 21.624 * [taylor]: Taking taylor expansion of (/ (+ a b) PI) in a 21.624 * [taylor]: Taking taylor expansion of (+ a b) in a 21.624 * [taylor]: Taking taylor expansion of a in a 21.624 * [backup-simplify]: Simplify 0 into 0 21.624 * [backup-simplify]: Simplify 1 into 1 21.624 * [taylor]: Taking taylor expansion of b in a 21.624 * [backup-simplify]: Simplify b into b 21.624 * [taylor]: Taking taylor expansion of PI in a 21.624 * [backup-simplify]: Simplify PI into PI 21.624 * [backup-simplify]: Simplify (+ 0 b) into b 21.624 * [backup-simplify]: Simplify (/ b PI) into (/ b PI) 21.624 * [taylor]: Taking taylor expansion of (/ (+ a b) PI) in a 21.624 * [taylor]: Taking taylor expansion of (+ a b) in a 21.624 * [taylor]: Taking taylor expansion of a in a 21.624 * [backup-simplify]: Simplify 0 into 0 21.624 * [backup-simplify]: Simplify 1 into 1 21.624 * [taylor]: Taking taylor expansion of b in a 21.624 * [backup-simplify]: Simplify b into b 21.624 * [taylor]: Taking taylor expansion of PI in a 21.624 * [backup-simplify]: Simplify PI into PI 21.624 * [backup-simplify]: Simplify (+ 0 b) into b 21.624 * [backup-simplify]: Simplify (/ b PI) into (/ b PI) 21.624 * [taylor]: Taking taylor expansion of (/ b PI) in b 21.624 * [taylor]: Taking taylor expansion of b in b 21.624 * [backup-simplify]: Simplify 0 into 0 21.624 * [backup-simplify]: Simplify 1 into 1 21.624 * [taylor]: Taking taylor expansion of PI in b 21.624 * [backup-simplify]: Simplify PI into PI 21.624 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.625 * [backup-simplify]: Simplify (+ 1 0) into 1 21.625 * [backup-simplify]: Simplify (- (/ 1 PI) (+ (* (/ b PI) (/ 0 PI)))) into (/ 1 PI) 21.625 * [taylor]: Taking taylor expansion of (/ 1 PI) in b 21.625 * [taylor]: Taking taylor expansion of PI in b 21.625 * [backup-simplify]: Simplify PI into PI 21.626 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.626 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.627 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.627 * [backup-simplify]: Simplify (+ 0 0) into 0 21.628 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 21.628 * [taylor]: Taking taylor expansion of 0 in b 21.628 * [backup-simplify]: Simplify 0 into 0 21.628 * [backup-simplify]: Simplify 0 into 0 21.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 21.629 * [backup-simplify]: Simplify 0 into 0 21.629 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 21.629 * [backup-simplify]: Simplify 0 into 0 21.630 * [backup-simplify]: Simplify (+ 0 0) into 0 21.631 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 21.631 * [taylor]: Taking taylor expansion of 0 in b 21.631 * [backup-simplify]: Simplify 0 into 0 21.631 * [backup-simplify]: Simplify 0 into 0 21.631 * [backup-simplify]: Simplify 0 into 0 21.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 21.632 * [backup-simplify]: Simplify 0 into 0 21.633 * [backup-simplify]: Simplify (+ (* (/ 1 PI) (* b 1)) (* (/ 1 PI) (* 1 a))) into (+ (/ b PI) (/ a PI)) 21.634 * [backup-simplify]: Simplify (/ (+ (/ 1 a) (/ 1 b)) PI) into (/ (+ (/ 1 a) (/ 1 b)) PI) 21.634 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in (a b) around 0 21.634 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in b 21.634 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 21.634 * [taylor]: Taking taylor expansion of (/ 1 a) in b 21.634 * [taylor]: Taking taylor expansion of a in b 21.634 * [backup-simplify]: Simplify a into a 21.634 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 21.634 * [taylor]: Taking taylor expansion of (/ 1 b) in b 21.634 * [taylor]: Taking taylor expansion of b in b 21.634 * [backup-simplify]: Simplify 0 into 0 21.634 * [backup-simplify]: Simplify 1 into 1 21.634 * [backup-simplify]: Simplify (/ 1 1) into 1 21.634 * [taylor]: Taking taylor expansion of PI in b 21.634 * [backup-simplify]: Simplify PI into PI 21.635 * [backup-simplify]: Simplify (+ 0 1) into 1 21.635 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.635 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a 21.635 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.635 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.635 * [taylor]: Taking taylor expansion of a in a 21.635 * [backup-simplify]: Simplify 0 into 0 21.636 * [backup-simplify]: Simplify 1 into 1 21.636 * [backup-simplify]: Simplify (/ 1 1) into 1 21.636 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.636 * [taylor]: Taking taylor expansion of b in a 21.636 * [backup-simplify]: Simplify b into b 21.636 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.636 * [taylor]: Taking taylor expansion of PI in a 21.636 * [backup-simplify]: Simplify PI into PI 21.637 * [backup-simplify]: Simplify (+ 1 0) into 1 21.637 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.637 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a 21.637 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.637 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.637 * [taylor]: Taking taylor expansion of a in a 21.637 * [backup-simplify]: Simplify 0 into 0 21.637 * [backup-simplify]: Simplify 1 into 1 21.638 * [backup-simplify]: Simplify (/ 1 1) into 1 21.638 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.638 * [taylor]: Taking taylor expansion of b in a 21.638 * [backup-simplify]: Simplify b into b 21.638 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.638 * [taylor]: Taking taylor expansion of PI in a 21.638 * [backup-simplify]: Simplify PI into PI 21.638 * [backup-simplify]: Simplify (+ 1 0) into 1 21.639 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.639 * [taylor]: Taking taylor expansion of (/ 1 PI) in b 21.639 * [taylor]: Taking taylor expansion of PI in b 21.639 * [backup-simplify]: Simplify PI into PI 21.640 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.640 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 21.641 * [backup-simplify]: Simplify (- (/ (/ 1 b) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* b PI)) 21.642 * [taylor]: Taking taylor expansion of (/ 1 (* b PI)) in b 21.642 * [taylor]: Taking taylor expansion of (* b PI) in b 21.642 * [taylor]: Taking taylor expansion of b in b 21.642 * [backup-simplify]: Simplify 0 into 0 21.642 * [backup-simplify]: Simplify 1 into 1 21.642 * [taylor]: Taking taylor expansion of PI in b 21.642 * [backup-simplify]: Simplify PI into PI 21.642 * [backup-simplify]: Simplify (* 0 PI) into 0 21.644 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.644 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.645 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.646 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 21.647 * [backup-simplify]: Simplify (+ 0 0) into 0 21.649 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)))) into 0 21.649 * [taylor]: Taking taylor expansion of 0 in b 21.649 * [backup-simplify]: Simplify 0 into 0 21.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 21.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 21.651 * [backup-simplify]: Simplify 0 into 0 21.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 21.652 * [backup-simplify]: Simplify 0 into 0 21.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 21.654 * [backup-simplify]: Simplify (+ 0 0) into 0 21.656 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 21.656 * [taylor]: Taking taylor expansion of 0 in b 21.656 * [backup-simplify]: Simplify 0 into 0 21.656 * [backup-simplify]: Simplify 0 into 0 21.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 21.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 21.659 * [backup-simplify]: Simplify 0 into 0 21.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 21.660 * [backup-simplify]: Simplify 0 into 0 21.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 21.662 * [backup-simplify]: Simplify (+ 0 0) into 0 21.665 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 21.665 * [taylor]: Taking taylor expansion of 0 in b 21.665 * [backup-simplify]: Simplify 0 into 0 21.665 * [backup-simplify]: Simplify 0 into 0 21.665 * [backup-simplify]: Simplify (+ (* (/ 1 PI) (* 1 (/ 1 (/ 1 a)))) (* (/ 1 PI) (* (/ 1 (/ 1 b)) 1))) into (+ (/ b PI) (/ a PI)) 21.666 * [backup-simplify]: Simplify (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) into (* -1 (/ (+ (/ 1 a) (/ 1 b)) PI)) 21.666 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in (a b) around 0 21.666 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in b 21.666 * [taylor]: Taking taylor expansion of -1 in b 21.666 * [backup-simplify]: Simplify -1 into -1 21.666 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in b 21.666 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 21.666 * [taylor]: Taking taylor expansion of (/ 1 a) in b 21.666 * [taylor]: Taking taylor expansion of a in b 21.666 * [backup-simplify]: Simplify a into a 21.666 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 21.666 * [taylor]: Taking taylor expansion of (/ 1 b) in b 21.666 * [taylor]: Taking taylor expansion of b in b 21.666 * [backup-simplify]: Simplify 0 into 0 21.666 * [backup-simplify]: Simplify 1 into 1 21.666 * [backup-simplify]: Simplify (/ 1 1) into 1 21.666 * [taylor]: Taking taylor expansion of PI in b 21.666 * [backup-simplify]: Simplify PI into PI 21.666 * [backup-simplify]: Simplify (+ 0 1) into 1 21.667 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.667 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in a 21.667 * [taylor]: Taking taylor expansion of -1 in a 21.667 * [backup-simplify]: Simplify -1 into -1 21.667 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a 21.667 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.667 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.667 * [taylor]: Taking taylor expansion of a in a 21.667 * [backup-simplify]: Simplify 0 into 0 21.667 * [backup-simplify]: Simplify 1 into 1 21.667 * [backup-simplify]: Simplify (/ 1 1) into 1 21.667 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.667 * [taylor]: Taking taylor expansion of b in a 21.667 * [backup-simplify]: Simplify b into b 21.667 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.667 * [taylor]: Taking taylor expansion of PI in a 21.667 * [backup-simplify]: Simplify PI into PI 21.667 * [backup-simplify]: Simplify (+ 1 0) into 1 21.668 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.668 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in a 21.668 * [taylor]: Taking taylor expansion of -1 in a 21.668 * [backup-simplify]: Simplify -1 into -1 21.668 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a 21.668 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.668 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.668 * [taylor]: Taking taylor expansion of a in a 21.668 * [backup-simplify]: Simplify 0 into 0 21.668 * [backup-simplify]: Simplify 1 into 1 21.668 * [backup-simplify]: Simplify (/ 1 1) into 1 21.668 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.668 * [taylor]: Taking taylor expansion of b in a 21.668 * [backup-simplify]: Simplify b into b 21.668 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.668 * [taylor]: Taking taylor expansion of PI in a 21.668 * [backup-simplify]: Simplify PI into PI 21.668 * [backup-simplify]: Simplify (+ 1 0) into 1 21.669 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.669 * [backup-simplify]: Simplify (* -1 (/ 1 PI)) into (/ -1 PI) 21.670 * [taylor]: Taking taylor expansion of (/ -1 PI) in b 21.670 * [taylor]: Taking taylor expansion of -1 in b 21.670 * [backup-simplify]: Simplify -1 into -1 21.670 * [taylor]: Taking taylor expansion of PI in b 21.670 * [backup-simplify]: Simplify PI into PI 21.670 * [backup-simplify]: Simplify (/ -1 PI) into (/ -1 PI) 21.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.670 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 21.671 * [backup-simplify]: Simplify (- (/ (/ 1 b) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* b PI)) 21.671 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (* b PI))) (* 0 (/ 1 PI))) into (- (/ 1 (* b PI))) 21.671 * [taylor]: Taking taylor expansion of (- (/ 1 (* b PI))) in b 21.671 * [taylor]: Taking taylor expansion of (/ 1 (* b PI)) in b 21.671 * [taylor]: Taking taylor expansion of (* b PI) in b 21.672 * [taylor]: Taking taylor expansion of b in b 21.672 * [backup-simplify]: Simplify 0 into 0 21.672 * [backup-simplify]: Simplify 1 into 1 21.672 * [taylor]: Taking taylor expansion of PI in b 21.672 * [backup-simplify]: Simplify PI into PI 21.672 * [backup-simplify]: Simplify (* 0 PI) into 0 21.673 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.673 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 21.674 * [backup-simplify]: Simplify (- (/ 1 PI)) into (- (/ 1 PI)) 21.674 * [backup-simplify]: Simplify (- (/ 1 PI)) into (- (/ 1 PI)) 21.675 * [backup-simplify]: Simplify (/ -1 PI) into (/ -1 PI) 21.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 21.676 * [backup-simplify]: Simplify (+ 0 0) into 0 21.677 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)))) into 0 21.677 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (* b PI))) (* 0 (/ 1 PI)))) into 0 21.677 * [taylor]: Taking taylor expansion of 0 in b 21.677 * [backup-simplify]: Simplify 0 into 0 21.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 21.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 21.679 * [backup-simplify]: Simplify (- 0) into 0 21.679 * [backup-simplify]: Simplify 0 into 0 21.679 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)))) into 0 21.680 * [backup-simplify]: Simplify 0 into 0 21.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 21.680 * [backup-simplify]: Simplify (+ 0 0) into 0 21.682 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 21.683 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (* b PI))) (* 0 (/ 1 PI))))) into 0 21.683 * [taylor]: Taking taylor expansion of 0 in b 21.683 * [backup-simplify]: Simplify 0 into 0 21.683 * [backup-simplify]: Simplify 0 into 0 21.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 21.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 21.685 * [backup-simplify]: Simplify (- 0) into 0 21.685 * [backup-simplify]: Simplify 0 into 0 21.686 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 21.686 * [backup-simplify]: Simplify 0 into 0 21.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 21.688 * [backup-simplify]: Simplify (+ 0 0) into 0 21.690 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 21.692 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (* b PI))) (* 0 (/ 1 PI)))))) into 0 21.692 * [taylor]: Taking taylor expansion of 0 in b 21.692 * [backup-simplify]: Simplify 0 into 0 21.692 * [backup-simplify]: Simplify 0 into 0 21.694 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (* 1 (/ 1 (/ 1 (- a))))) (* (- (/ 1 PI)) (* (/ 1 (/ 1 (- b))) 1))) into (+ (/ b PI) (/ a PI)) 21.694 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1) 21.694 * [backup-simplify]: Simplify (/ 1 (/ (+ a b) PI)) into (/ PI (+ a b)) 21.694 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 21.694 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 21.694 * [taylor]: Taking taylor expansion of PI in b 21.694 * [backup-simplify]: Simplify PI into PI 21.694 * [taylor]: Taking taylor expansion of (+ a b) in b 21.694 * [taylor]: Taking taylor expansion of a in b 21.694 * [backup-simplify]: Simplify a into a 21.694 * [taylor]: Taking taylor expansion of b in b 21.694 * [backup-simplify]: Simplify 0 into 0 21.694 * [backup-simplify]: Simplify 1 into 1 21.694 * [backup-simplify]: Simplify (+ a 0) into a 21.694 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 21.694 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 21.694 * [taylor]: Taking taylor expansion of PI in a 21.694 * [backup-simplify]: Simplify PI into PI 21.694 * [taylor]: Taking taylor expansion of (+ a b) in a 21.694 * [taylor]: Taking taylor expansion of a in a 21.694 * [backup-simplify]: Simplify 0 into 0 21.694 * [backup-simplify]: Simplify 1 into 1 21.694 * [taylor]: Taking taylor expansion of b in a 21.694 * [backup-simplify]: Simplify b into b 21.694 * [backup-simplify]: Simplify (+ 0 b) into b 21.695 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 21.695 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 21.695 * [taylor]: Taking taylor expansion of PI in a 21.695 * [backup-simplify]: Simplify PI into PI 21.695 * [taylor]: Taking taylor expansion of (+ a b) in a 21.695 * [taylor]: Taking taylor expansion of a in a 21.695 * [backup-simplify]: Simplify 0 into 0 21.695 * [backup-simplify]: Simplify 1 into 1 21.695 * [taylor]: Taking taylor expansion of b in a 21.695 * [backup-simplify]: Simplify b into b 21.695 * [backup-simplify]: Simplify (+ 0 b) into b 21.695 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 21.695 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.695 * [taylor]: Taking taylor expansion of PI in b 21.695 * [backup-simplify]: Simplify PI into PI 21.695 * [taylor]: Taking taylor expansion of b in b 21.695 * [backup-simplify]: Simplify 0 into 0 21.695 * [backup-simplify]: Simplify 1 into 1 21.696 * [backup-simplify]: Simplify (/ PI 1) into PI 21.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.696 * [backup-simplify]: Simplify 0 into 0 21.697 * [backup-simplify]: Simplify (+ 1 0) into 1 21.697 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 21.697 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 21.697 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 21.697 * [taylor]: Taking taylor expansion of PI in b 21.697 * [backup-simplify]: Simplify PI into PI 21.697 * [taylor]: Taking taylor expansion of (pow b 2) in b 21.697 * [taylor]: Taking taylor expansion of b in b 21.697 * [backup-simplify]: Simplify 0 into 0 21.697 * [backup-simplify]: Simplify 1 into 1 21.698 * [backup-simplify]: Simplify (* 1 1) into 1 21.698 * [backup-simplify]: Simplify (/ PI 1) into PI 21.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.702 * [backup-simplify]: Simplify (- 0) into 0 21.702 * [backup-simplify]: Simplify 0 into 0 21.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.703 * [backup-simplify]: Simplify 0 into 0 21.703 * [backup-simplify]: Simplify (+ 0 0) into 0 21.703 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 21.703 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 21.703 * [taylor]: Taking taylor expansion of PI in b 21.704 * [backup-simplify]: Simplify PI into PI 21.704 * [taylor]: Taking taylor expansion of (pow b 3) in b 21.704 * [taylor]: Taking taylor expansion of b in b 21.704 * [backup-simplify]: Simplify 0 into 0 21.704 * [backup-simplify]: Simplify 1 into 1 21.710 * [backup-simplify]: Simplify (* 1 1) into 1 21.711 * [backup-simplify]: Simplify (* 1 1) into 1 21.711 * [backup-simplify]: Simplify (/ PI 1) into PI 21.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.719 * [backup-simplify]: Simplify 0 into 0 21.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.721 * [backup-simplify]: Simplify (- 0) into 0 21.721 * [backup-simplify]: Simplify 0 into 0 21.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.722 * [backup-simplify]: Simplify 0 into 0 21.722 * [backup-simplify]: Simplify 0 into 0 21.722 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) into (/ PI (+ (/ 1 a) (/ 1 b))) 21.722 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 21.722 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 21.722 * [taylor]: Taking taylor expansion of PI in b 21.723 * [backup-simplify]: Simplify PI into PI 21.723 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 21.723 * [taylor]: Taking taylor expansion of (/ 1 a) in b 21.723 * [taylor]: Taking taylor expansion of a in b 21.723 * [backup-simplify]: Simplify a into a 21.723 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 21.723 * [taylor]: Taking taylor expansion of (/ 1 b) in b 21.723 * [taylor]: Taking taylor expansion of b in b 21.723 * [backup-simplify]: Simplify 0 into 0 21.723 * [backup-simplify]: Simplify 1 into 1 21.723 * [backup-simplify]: Simplify (/ 1 1) into 1 21.724 * [backup-simplify]: Simplify (+ 0 1) into 1 21.724 * [backup-simplify]: Simplify (/ PI 1) into PI 21.724 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 21.724 * [taylor]: Taking taylor expansion of PI in a 21.724 * [backup-simplify]: Simplify PI into PI 21.724 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.724 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.724 * [taylor]: Taking taylor expansion of a in a 21.724 * [backup-simplify]: Simplify 0 into 0 21.724 * [backup-simplify]: Simplify 1 into 1 21.725 * [backup-simplify]: Simplify (/ 1 1) into 1 21.725 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.725 * [taylor]: Taking taylor expansion of b in a 21.725 * [backup-simplify]: Simplify b into b 21.725 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.725 * [backup-simplify]: Simplify (+ 1 0) into 1 21.726 * [backup-simplify]: Simplify (/ PI 1) into PI 21.726 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 21.726 * [taylor]: Taking taylor expansion of PI in a 21.726 * [backup-simplify]: Simplify PI into PI 21.726 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.726 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.726 * [taylor]: Taking taylor expansion of a in a 21.726 * [backup-simplify]: Simplify 0 into 0 21.726 * [backup-simplify]: Simplify 1 into 1 21.726 * [backup-simplify]: Simplify (/ 1 1) into 1 21.726 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.726 * [taylor]: Taking taylor expansion of b in a 21.726 * [backup-simplify]: Simplify b into b 21.726 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.727 * [backup-simplify]: Simplify (+ 1 0) into 1 21.727 * [backup-simplify]: Simplify (/ PI 1) into PI 21.727 * [taylor]: Taking taylor expansion of PI in b 21.727 * [backup-simplify]: Simplify PI into PI 21.727 * [backup-simplify]: Simplify 0 into 0 21.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.728 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 21.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 21.729 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 21.729 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.729 * [taylor]: Taking taylor expansion of PI in b 21.729 * [backup-simplify]: Simplify PI into PI 21.729 * [taylor]: Taking taylor expansion of b in b 21.729 * [backup-simplify]: Simplify 0 into 0 21.729 * [backup-simplify]: Simplify 1 into 1 21.729 * [backup-simplify]: Simplify (/ PI 1) into PI 21.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.731 * [backup-simplify]: Simplify (- 0) into 0 21.731 * [backup-simplify]: Simplify 0 into 0 21.732 * [backup-simplify]: Simplify 0 into 0 21.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 21.733 * [backup-simplify]: Simplify (+ 0 0) into 0 21.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 21.734 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 21.734 * [taylor]: Taking taylor expansion of PI in b 21.734 * [backup-simplify]: Simplify PI into PI 21.734 * [taylor]: Taking taylor expansion of (pow b 2) in b 21.734 * [taylor]: Taking taylor expansion of b in b 21.734 * [backup-simplify]: Simplify 0 into 0 21.734 * [backup-simplify]: Simplify 1 into 1 21.735 * [backup-simplify]: Simplify (* 1 1) into 1 21.735 * [backup-simplify]: Simplify (/ PI 1) into PI 21.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.740 * [backup-simplify]: Simplify 0 into 0 21.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.742 * [backup-simplify]: Simplify (- 0) into 0 21.742 * [backup-simplify]: Simplify 0 into 0 21.742 * [backup-simplify]: Simplify 0 into 0 21.742 * [backup-simplify]: Simplify 0 into 0 21.742 * [backup-simplify]: Simplify (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 21.742 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 21.742 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 21.742 * [taylor]: Taking taylor expansion of -1 in b 21.742 * [backup-simplify]: Simplify -1 into -1 21.742 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 21.742 * [taylor]: Taking taylor expansion of PI in b 21.742 * [backup-simplify]: Simplify PI into PI 21.742 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 21.743 * [taylor]: Taking taylor expansion of (/ 1 a) in b 21.743 * [taylor]: Taking taylor expansion of a in b 21.743 * [backup-simplify]: Simplify a into a 21.743 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 21.743 * [taylor]: Taking taylor expansion of (/ 1 b) in b 21.743 * [taylor]: Taking taylor expansion of b in b 21.743 * [backup-simplify]: Simplify 0 into 0 21.743 * [backup-simplify]: Simplify 1 into 1 21.743 * [backup-simplify]: Simplify (/ 1 1) into 1 21.744 * [backup-simplify]: Simplify (+ 0 1) into 1 21.745 * [backup-simplify]: Simplify (/ PI 1) into PI 21.745 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 21.745 * [taylor]: Taking taylor expansion of -1 in a 21.745 * [backup-simplify]: Simplify -1 into -1 21.745 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 21.745 * [taylor]: Taking taylor expansion of PI in a 21.745 * [backup-simplify]: Simplify PI into PI 21.745 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.745 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.745 * [taylor]: Taking taylor expansion of a in a 21.745 * [backup-simplify]: Simplify 0 into 0 21.745 * [backup-simplify]: Simplify 1 into 1 21.746 * [backup-simplify]: Simplify (/ 1 1) into 1 21.746 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.746 * [taylor]: Taking taylor expansion of b in a 21.746 * [backup-simplify]: Simplify b into b 21.746 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.746 * [backup-simplify]: Simplify (+ 1 0) into 1 21.747 * [backup-simplify]: Simplify (/ PI 1) into PI 21.747 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 21.747 * [taylor]: Taking taylor expansion of -1 in a 21.747 * [backup-simplify]: Simplify -1 into -1 21.747 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 21.747 * [taylor]: Taking taylor expansion of PI in a 21.747 * [backup-simplify]: Simplify PI into PI 21.747 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.747 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.747 * [taylor]: Taking taylor expansion of a in a 21.747 * [backup-simplify]: Simplify 0 into 0 21.747 * [backup-simplify]: Simplify 1 into 1 21.747 * [backup-simplify]: Simplify (/ 1 1) into 1 21.747 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.747 * [taylor]: Taking taylor expansion of b in a 21.747 * [backup-simplify]: Simplify b into b 21.747 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.748 * [backup-simplify]: Simplify (+ 1 0) into 1 21.748 * [backup-simplify]: Simplify (/ PI 1) into PI 21.749 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 21.749 * [taylor]: Taking taylor expansion of (* -1 PI) in b 21.749 * [taylor]: Taking taylor expansion of -1 in b 21.749 * [backup-simplify]: Simplify -1 into -1 21.749 * [taylor]: Taking taylor expansion of PI in b 21.749 * [backup-simplify]: Simplify PI into PI 21.750 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 21.750 * [backup-simplify]: Simplify 0 into 0 21.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.750 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 21.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 21.752 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 21.752 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.752 * [taylor]: Taking taylor expansion of PI in b 21.752 * [backup-simplify]: Simplify PI into PI 21.752 * [taylor]: Taking taylor expansion of b in b 21.752 * [backup-simplify]: Simplify 0 into 0 21.752 * [backup-simplify]: Simplify 1 into 1 21.752 * [backup-simplify]: Simplify (/ PI 1) into PI 21.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.754 * [backup-simplify]: Simplify 0 into 0 21.755 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 21.755 * [backup-simplify]: Simplify 0 into 0 21.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 21.756 * [backup-simplify]: Simplify (+ 0 0) into 0 21.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 21.758 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 21.758 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 21.758 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 21.758 * [taylor]: Taking taylor expansion of PI in b 21.758 * [backup-simplify]: Simplify PI into PI 21.758 * [taylor]: Taking taylor expansion of (pow b 2) in b 21.758 * [taylor]: Taking taylor expansion of b in b 21.758 * [backup-simplify]: Simplify 0 into 0 21.758 * [backup-simplify]: Simplify 1 into 1 21.759 * [backup-simplify]: Simplify (* 1 1) into 1 21.759 * [backup-simplify]: Simplify (/ PI 1) into PI 21.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.765 * [backup-simplify]: Simplify (- 0) into 0 21.765 * [backup-simplify]: Simplify 0 into 0 21.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.766 * [backup-simplify]: Simplify 0 into 0 21.767 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.767 * [backup-simplify]: Simplify 0 into 0 21.768 * [backup-simplify]: Simplify 0 into 0 21.768 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 21.768 * [backup-simplify]: Simplify (/ (/ (/ 1 (/ (+ a b) PI)) 2) b) into (* 1/2 (/ PI (* b (+ a b)))) 21.768 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in (a b) around 0 21.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in b 21.768 * [taylor]: Taking taylor expansion of 1/2 in b 21.768 * [backup-simplify]: Simplify 1/2 into 1/2 21.768 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in b 21.768 * [taylor]: Taking taylor expansion of PI in b 21.768 * [backup-simplify]: Simplify PI into PI 21.768 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 21.768 * [taylor]: Taking taylor expansion of b in b 21.768 * [backup-simplify]: Simplify 0 into 0 21.768 * [backup-simplify]: Simplify 1 into 1 21.768 * [taylor]: Taking taylor expansion of (+ a b) in b 21.768 * [taylor]: Taking taylor expansion of a in b 21.768 * [backup-simplify]: Simplify a into a 21.768 * [taylor]: Taking taylor expansion of b in b 21.768 * [backup-simplify]: Simplify 0 into 0 21.768 * [backup-simplify]: Simplify 1 into 1 21.768 * [backup-simplify]: Simplify (+ a 0) into a 21.768 * [backup-simplify]: Simplify (* 0 a) into 0 21.769 * [backup-simplify]: Simplify (+ 0 1) into 1 21.769 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 21.769 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 21.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 21.769 * [taylor]: Taking taylor expansion of 1/2 in a 21.769 * [backup-simplify]: Simplify 1/2 into 1/2 21.769 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 21.769 * [taylor]: Taking taylor expansion of PI in a 21.769 * [backup-simplify]: Simplify PI into PI 21.769 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 21.770 * [taylor]: Taking taylor expansion of b in a 21.770 * [backup-simplify]: Simplify b into b 21.770 * [taylor]: Taking taylor expansion of (+ a b) in a 21.770 * [taylor]: Taking taylor expansion of a in a 21.770 * [backup-simplify]: Simplify 0 into 0 21.770 * [backup-simplify]: Simplify 1 into 1 21.770 * [taylor]: Taking taylor expansion of b in a 21.770 * [backup-simplify]: Simplify b into b 21.770 * [backup-simplify]: Simplify (+ 0 b) into b 21.770 * [backup-simplify]: Simplify (* b b) into (pow b 2) 21.770 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 21.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 21.770 * [taylor]: Taking taylor expansion of 1/2 in a 21.770 * [backup-simplify]: Simplify 1/2 into 1/2 21.770 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 21.770 * [taylor]: Taking taylor expansion of PI in a 21.770 * [backup-simplify]: Simplify PI into PI 21.770 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 21.770 * [taylor]: Taking taylor expansion of b in a 21.770 * [backup-simplify]: Simplify b into b 21.770 * [taylor]: Taking taylor expansion of (+ a b) in a 21.770 * [taylor]: Taking taylor expansion of a in a 21.770 * [backup-simplify]: Simplify 0 into 0 21.770 * [backup-simplify]: Simplify 1 into 1 21.770 * [taylor]: Taking taylor expansion of b in a 21.770 * [backup-simplify]: Simplify b into b 21.770 * [backup-simplify]: Simplify (+ 0 b) into b 21.770 * [backup-simplify]: Simplify (* b b) into (pow b 2) 21.771 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 21.771 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 21.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 21.771 * [taylor]: Taking taylor expansion of 1/2 in b 21.771 * [backup-simplify]: Simplify 1/2 into 1/2 21.771 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 21.771 * [taylor]: Taking taylor expansion of PI in b 21.771 * [backup-simplify]: Simplify PI into PI 21.771 * [taylor]: Taking taylor expansion of (pow b 2) in b 21.771 * [taylor]: Taking taylor expansion of b in b 21.771 * [backup-simplify]: Simplify 0 into 0 21.771 * [backup-simplify]: Simplify 1 into 1 21.771 * [backup-simplify]: Simplify (* 1 1) into 1 21.772 * [backup-simplify]: Simplify (/ PI 1) into PI 21.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 21.774 * [backup-simplify]: Simplify 0 into 0 21.774 * [backup-simplify]: Simplify (+ 1 0) into 1 21.775 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 21.775 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 21.775 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 21.775 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 21.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 21.775 * [taylor]: Taking taylor expansion of 1/2 in b 21.775 * [backup-simplify]: Simplify 1/2 into 1/2 21.775 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 21.775 * [taylor]: Taking taylor expansion of PI in b 21.775 * [backup-simplify]: Simplify PI into PI 21.775 * [taylor]: Taking taylor expansion of (pow b 3) in b 21.775 * [taylor]: Taking taylor expansion of b in b 21.776 * [backup-simplify]: Simplify 0 into 0 21.776 * [backup-simplify]: Simplify 1 into 1 21.776 * [backup-simplify]: Simplify (* 1 1) into 1 21.776 * [backup-simplify]: Simplify (* 1 1) into 1 21.776 * [backup-simplify]: Simplify (/ PI 1) into PI 21.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.780 * [backup-simplify]: Simplify (- 0) into 0 21.780 * [backup-simplify]: Simplify 0 into 0 21.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.782 * [backup-simplify]: Simplify 0 into 0 21.782 * [backup-simplify]: Simplify (+ 0 0) into 0 21.783 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 b))) into 0 21.783 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 21.783 * [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))) 21.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 21.783 * [taylor]: Taking taylor expansion of 1/2 in b 21.783 * [backup-simplify]: Simplify 1/2 into 1/2 21.783 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 21.783 * [taylor]: Taking taylor expansion of PI in b 21.783 * [backup-simplify]: Simplify PI into PI 21.783 * [taylor]: Taking taylor expansion of (pow b 4) in b 21.783 * [taylor]: Taking taylor expansion of b in b 21.783 * [backup-simplify]: Simplify 0 into 0 21.783 * [backup-simplify]: Simplify 1 into 1 21.784 * [backup-simplify]: Simplify (* 1 1) into 1 21.784 * [backup-simplify]: Simplify (* 1 1) into 1 21.784 * [backup-simplify]: Simplify (/ PI 1) into PI 21.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.792 * [backup-simplify]: Simplify 0 into 0 21.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.794 * [backup-simplify]: Simplify (- 0) into 0 21.794 * [backup-simplify]: Simplify 0 into 0 21.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.796 * [backup-simplify]: Simplify 0 into 0 21.796 * [backup-simplify]: Simplify 0 into 0 21.797 * [backup-simplify]: Simplify (/ (/ (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) 2) (/ 1 b)) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 21.797 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 21.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 21.797 * [taylor]: Taking taylor expansion of 1/2 in b 21.797 * [backup-simplify]: Simplify 1/2 into 1/2 21.797 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 21.797 * [taylor]: Taking taylor expansion of (* b PI) in b 21.797 * [taylor]: Taking taylor expansion of b in b 21.797 * [backup-simplify]: Simplify 0 into 0 21.797 * [backup-simplify]: Simplify 1 into 1 21.797 * [taylor]: Taking taylor expansion of PI in b 21.797 * [backup-simplify]: Simplify PI into PI 21.797 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 21.797 * [taylor]: Taking taylor expansion of (/ 1 a) in b 21.797 * [taylor]: Taking taylor expansion of a in b 21.797 * [backup-simplify]: Simplify a into a 21.797 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 21.797 * [taylor]: Taking taylor expansion of (/ 1 b) in b 21.797 * [taylor]: Taking taylor expansion of b in b 21.797 * [backup-simplify]: Simplify 0 into 0 21.797 * [backup-simplify]: Simplify 1 into 1 21.797 * [backup-simplify]: Simplify (/ 1 1) into 1 21.797 * [backup-simplify]: Simplify (* 0 PI) into 0 21.798 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.799 * [backup-simplify]: Simplify (+ 0 1) into 1 21.799 * [backup-simplify]: Simplify (/ PI 1) into PI 21.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 21.799 * [taylor]: Taking taylor expansion of 1/2 in a 21.799 * [backup-simplify]: Simplify 1/2 into 1/2 21.799 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 21.799 * [taylor]: Taking taylor expansion of (* b PI) in a 21.799 * [taylor]: Taking taylor expansion of b in a 21.799 * [backup-simplify]: Simplify b into b 21.799 * [taylor]: Taking taylor expansion of PI in a 21.799 * [backup-simplify]: Simplify PI into PI 21.799 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.799 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.799 * [taylor]: Taking taylor expansion of a in a 21.799 * [backup-simplify]: Simplify 0 into 0 21.799 * [backup-simplify]: Simplify 1 into 1 21.799 * [backup-simplify]: Simplify (/ 1 1) into 1 21.800 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.800 * [taylor]: Taking taylor expansion of b in a 21.800 * [backup-simplify]: Simplify b into b 21.800 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.800 * [backup-simplify]: Simplify (* b PI) into (* PI b) 21.800 * [backup-simplify]: Simplify (+ 1 0) into 1 21.800 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 21.800 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 21.800 * [taylor]: Taking taylor expansion of 1/2 in a 21.800 * [backup-simplify]: Simplify 1/2 into 1/2 21.800 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 21.800 * [taylor]: Taking taylor expansion of (* b PI) in a 21.800 * [taylor]: Taking taylor expansion of b in a 21.800 * [backup-simplify]: Simplify b into b 21.800 * [taylor]: Taking taylor expansion of PI in a 21.800 * [backup-simplify]: Simplify PI into PI 21.800 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.800 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.800 * [taylor]: Taking taylor expansion of a in a 21.800 * [backup-simplify]: Simplify 0 into 0 21.800 * [backup-simplify]: Simplify 1 into 1 21.800 * [backup-simplify]: Simplify (/ 1 1) into 1 21.800 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.800 * [taylor]: Taking taylor expansion of b in a 21.800 * [backup-simplify]: Simplify b into b 21.800 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.801 * [backup-simplify]: Simplify (* b PI) into (* PI b) 21.801 * [backup-simplify]: Simplify (+ 1 0) into 1 21.801 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 21.801 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 21.801 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 21.801 * [taylor]: Taking taylor expansion of 1/2 in b 21.801 * [backup-simplify]: Simplify 1/2 into 1/2 21.801 * [taylor]: Taking taylor expansion of (* PI b) in b 21.801 * [taylor]: Taking taylor expansion of PI in b 21.801 * [backup-simplify]: Simplify PI into PI 21.801 * [taylor]: Taking taylor expansion of b in b 21.801 * [backup-simplify]: Simplify 0 into 0 21.801 * [backup-simplify]: Simplify 1 into 1 21.802 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 21.803 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 21.803 * [backup-simplify]: Simplify (* PI 0) into 0 21.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 21.804 * [backup-simplify]: Simplify 0 into 0 21.804 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 21.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.804 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 21.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 21.805 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 21.805 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 21.805 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 21.805 * [taylor]: Taking taylor expansion of 1/2 in b 21.806 * [backup-simplify]: Simplify 1/2 into 1/2 21.806 * [taylor]: Taking taylor expansion of PI in b 21.806 * [backup-simplify]: Simplify PI into PI 21.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.806 * [backup-simplify]: Simplify (- 0) into 0 21.806 * [backup-simplify]: Simplify 0 into 0 21.807 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 21.808 * [backup-simplify]: Simplify 0 into 0 21.808 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 21.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 21.809 * [backup-simplify]: Simplify (+ 0 0) into 0 21.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 21.811 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 21.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 21.811 * [taylor]: Taking taylor expansion of 1/2 in b 21.811 * [backup-simplify]: Simplify 1/2 into 1/2 21.811 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.811 * [taylor]: Taking taylor expansion of PI in b 21.811 * [backup-simplify]: Simplify PI into PI 21.811 * [taylor]: Taking taylor expansion of b in b 21.811 * [backup-simplify]: Simplify 0 into 0 21.811 * [backup-simplify]: Simplify 1 into 1 21.811 * [backup-simplify]: Simplify (/ PI 1) into PI 21.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.814 * [backup-simplify]: Simplify 0 into 0 21.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.815 * [backup-simplify]: Simplify (- 0) into 0 21.815 * [backup-simplify]: Simplify 0 into 0 21.815 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 21.816 * [backup-simplify]: Simplify 0 into 0 21.816 * [backup-simplify]: Simplify 0 into 0 21.817 * [backup-simplify]: Simplify (/ (/ (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) 2) (/ 1 (- b))) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 21.817 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 21.817 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 21.817 * [taylor]: Taking taylor expansion of 1/2 in b 21.817 * [backup-simplify]: Simplify 1/2 into 1/2 21.817 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 21.817 * [taylor]: Taking taylor expansion of (* b PI) in b 21.817 * [taylor]: Taking taylor expansion of b in b 21.817 * [backup-simplify]: Simplify 0 into 0 21.817 * [backup-simplify]: Simplify 1 into 1 21.817 * [taylor]: Taking taylor expansion of PI in b 21.817 * [backup-simplify]: Simplify PI into PI 21.817 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 21.817 * [taylor]: Taking taylor expansion of (/ 1 a) in b 21.817 * [taylor]: Taking taylor expansion of a in b 21.817 * [backup-simplify]: Simplify a into a 21.817 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 21.817 * [taylor]: Taking taylor expansion of (/ 1 b) in b 21.817 * [taylor]: Taking taylor expansion of b in b 21.817 * [backup-simplify]: Simplify 0 into 0 21.817 * [backup-simplify]: Simplify 1 into 1 21.817 * [backup-simplify]: Simplify (/ 1 1) into 1 21.818 * [backup-simplify]: Simplify (* 0 PI) into 0 21.818 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.819 * [backup-simplify]: Simplify (+ 0 1) into 1 21.819 * [backup-simplify]: Simplify (/ PI 1) into PI 21.819 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 21.819 * [taylor]: Taking taylor expansion of 1/2 in a 21.819 * [backup-simplify]: Simplify 1/2 into 1/2 21.819 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 21.819 * [taylor]: Taking taylor expansion of (* b PI) in a 21.819 * [taylor]: Taking taylor expansion of b in a 21.819 * [backup-simplify]: Simplify b into b 21.819 * [taylor]: Taking taylor expansion of PI in a 21.819 * [backup-simplify]: Simplify PI into PI 21.819 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.819 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.819 * [taylor]: Taking taylor expansion of a in a 21.819 * [backup-simplify]: Simplify 0 into 0 21.819 * [backup-simplify]: Simplify 1 into 1 21.820 * [backup-simplify]: Simplify (/ 1 1) into 1 21.820 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.820 * [taylor]: Taking taylor expansion of b in a 21.820 * [backup-simplify]: Simplify b into b 21.820 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.820 * [backup-simplify]: Simplify (* b PI) into (* PI b) 21.820 * [backup-simplify]: Simplify (+ 1 0) into 1 21.820 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 21.820 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 21.820 * [taylor]: Taking taylor expansion of 1/2 in a 21.820 * [backup-simplify]: Simplify 1/2 into 1/2 21.820 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 21.820 * [taylor]: Taking taylor expansion of (* b PI) in a 21.820 * [taylor]: Taking taylor expansion of b in a 21.820 * [backup-simplify]: Simplify b into b 21.820 * [taylor]: Taking taylor expansion of PI in a 21.820 * [backup-simplify]: Simplify PI into PI 21.820 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.820 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.820 * [taylor]: Taking taylor expansion of a in a 21.820 * [backup-simplify]: Simplify 0 into 0 21.820 * [backup-simplify]: Simplify 1 into 1 21.820 * [backup-simplify]: Simplify (/ 1 1) into 1 21.820 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.820 * [taylor]: Taking taylor expansion of b in a 21.820 * [backup-simplify]: Simplify b into b 21.821 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.821 * [backup-simplify]: Simplify (* b PI) into (* PI b) 21.821 * [backup-simplify]: Simplify (+ 1 0) into 1 21.821 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 21.821 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 21.821 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 21.821 * [taylor]: Taking taylor expansion of 1/2 in b 21.821 * [backup-simplify]: Simplify 1/2 into 1/2 21.821 * [taylor]: Taking taylor expansion of (* PI b) in b 21.821 * [taylor]: Taking taylor expansion of PI in b 21.821 * [backup-simplify]: Simplify PI into PI 21.821 * [taylor]: Taking taylor expansion of b in b 21.821 * [backup-simplify]: Simplify 0 into 0 21.821 * [backup-simplify]: Simplify 1 into 1 21.822 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 21.823 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 21.823 * [backup-simplify]: Simplify (* PI 0) into 0 21.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 21.824 * [backup-simplify]: Simplify 0 into 0 21.824 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 21.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.830 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 21.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 21.832 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 21.832 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 21.832 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 21.832 * [taylor]: Taking taylor expansion of 1/2 in b 21.833 * [backup-simplify]: Simplify 1/2 into 1/2 21.833 * [taylor]: Taking taylor expansion of PI in b 21.833 * [backup-simplify]: Simplify PI into PI 21.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.834 * [backup-simplify]: Simplify (- 0) into 0 21.834 * [backup-simplify]: Simplify 0 into 0 21.835 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 21.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 21.837 * [backup-simplify]: Simplify 0 into 0 21.837 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 21.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 21.839 * [backup-simplify]: Simplify (+ 0 0) into 0 21.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 21.841 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 21.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 21.841 * [taylor]: Taking taylor expansion of 1/2 in b 21.841 * [backup-simplify]: Simplify 1/2 into 1/2 21.841 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.841 * [taylor]: Taking taylor expansion of PI in b 21.841 * [backup-simplify]: Simplify PI into PI 21.841 * [taylor]: Taking taylor expansion of b in b 21.841 * [backup-simplify]: Simplify 0 into 0 21.841 * [backup-simplify]: Simplify 1 into 1 21.842 * [backup-simplify]: Simplify (/ PI 1) into PI 21.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.845 * [backup-simplify]: Simplify 0 into 0 21.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.846 * [backup-simplify]: Simplify (- 0) into 0 21.846 * [backup-simplify]: Simplify 0 into 0 21.847 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 21.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 21.848 * [backup-simplify]: Simplify 0 into 0 21.848 * [backup-simplify]: Simplify 0 into 0 21.848 * * * [progress]: simplifying candidates 21.848 * * * * [progress]: [ 1 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 2 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 3 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 4 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 5 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 6 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 7 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 8 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 9 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 10 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 11 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 12 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 13 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 14 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 15 / 848 ] simplifiying candidate # 21.848 * * * * [progress]: [ 16 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 17 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 18 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 19 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 20 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 21 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 22 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 23 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 24 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 25 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 26 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 27 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 28 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 29 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 30 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 31 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 32 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 33 / 848 ] simplifiying candidate # 21.849 * * * * [progress]: [ 34 / 848 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) a) (- (/ (/ (/ 1 (/ (+ a b) PI)) 2) b))) (- b a)))> 21.849 * * * * 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candidate # 21.852 * * * * [progress]: [ 96 / 848 ] simplifiying candidate # 21.852 * * * * [progress]: [ 97 / 848 ] simplifiying candidate # 21.852 * * * * [progress]: [ 98 / 848 ] simplifiying candidate # 21.852 * * * * [progress]: [ 99 / 848 ] simplifiying candidate # 21.852 * * * * [progress]: [ 100 / 848 ] simplifiying candidate # 21.852 * * * * [progress]: [ 101 / 848 ] simplifiying candidate # 21.852 * * * * [progress]: [ 102 / 848 ] simplifiying candidate # 21.852 * * * * [progress]: [ 103 / 848 ] simplifiying candidate # 21.852 * * * * [progress]: [ 104 / 848 ] simplifiying candidate # 21.852 * * * * [progress]: [ 105 / 848 ] simplifiying candidate # 21.852 * * * * [progress]: [ 106 / 848 ] simplifiying candidate # 21.853 * * * * [progress]: [ 107 / 848 ] simplifiying candidate # 21.853 * * * * [progress]: [ 108 / 848 ] simplifiying candidate # 21.853 * * * * [progress]: [ 109 / 848 ] simplifiying candidate # 21.853 * * * * [progress]: [ 110 / 848 ] simplifiying candidate # 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simplifiying candidate # 21.896 * * * * [progress]: [ 845 / 848 ] simplifiying candidate # 21.896 * * * * [progress]: [ 846 / 848 ] simplifiying candidate # 21.896 * * * * [progress]: [ 847 / 848 ] simplifiying candidate # 21.896 * * * * [progress]: [ 848 / 848 ] simplifiying candidate # 21.907 * [simplify]: Simplifying: (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (log (+ a b)) (log PI)) (log (/ (+ a b) PI)) (exp (/ (+ a b) PI)) (/ (* (* (+ a b) (+ a b)) (+ a b)) (* (* PI PI) PI)) (* (cbrt (/ (+ a b) PI)) (cbrt (/ (+ a b) PI))) (cbrt (/ (+ a b) PI)) (* (* (/ (+ a b) PI) (/ (+ a b) PI)) (/ (+ a b) PI)) (sqrt (/ (+ a b) PI)) (sqrt (/ (+ a b) PI)) (- (+ a b)) (- PI) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt PI) (cbrt PI))) (/ (cbrt (+ a b)) (cbrt PI)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt PI)) (/ (cbrt (+ a b)) (sqrt PI)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1) (/ (cbrt (+ a b)) PI) (/ (sqrt (+ a b)) (* (cbrt PI) (cbrt PI))) (/ (sqrt (+ a b)) (cbrt PI)) (/ (sqrt (+ a b)) (sqrt PI)) (/ (sqrt (+ a b)) (sqrt PI)) (/ (sqrt (+ a b)) 1) (/ (sqrt (+ a b)) PI) (/ 1 (* (cbrt PI) (cbrt PI))) (/ (+ a b) (cbrt PI)) (/ 1 (sqrt PI)) (/ (+ a b) (sqrt PI)) (/ 1 1) (/ (+ a b) PI) (/ 1 (* (cbrt PI) (cbrt PI))) (/ (+ a b) (cbrt PI)) (/ 1 (sqrt PI)) (/ (+ a b) (sqrt PI)) (/ 1 1) (/ (+ a b) PI) (/ 1 PI) (/ PI (+ a b)) (/ (+ a b) (* (cbrt PI) (cbrt PI))) (/ (+ a b) (sqrt PI)) (/ (+ a b) 1) (/ PI (cbrt (+ a b))) (/ PI (sqrt (+ a b))) (/ PI (+ a b)) (/ PI (+ a b)) (* PI (+ (* a a) (- (* b b) (* a b)))) (* PI (- a b)) (real->posit16 (/ (+ a b) PI)) (- 1) (- (- (log (+ a b)) (log PI))) (- (log (/ (+ a b) PI))) (- 0 (- (log (+ a b)) (log PI))) (- 0 (log (/ (+ a b) PI))) (- (log 1) (- (log (+ a b)) (log PI))) (- (log 1) (log (/ (+ a b) PI))) (log (/ 1 (/ (+ a b) PI))) (exp (/ 1 (/ (+ a b) PI))) (/ (* (* 1 1) 1) (/ (* (* (+ a b) (+ a b)) (+ a b)) (* (* PI PI) PI))) (/ (* (* 1 1) 1) (* (* (/ (+ a b) PI) (/ (+ a b) PI)) (/ (+ a b) PI))) (* (cbrt (/ 1 (/ (+ a b) PI))) (cbrt (/ 1 (/ (+ a b) PI)))) (cbrt (/ 1 (/ (+ a b) PI))) (* (* (/ 1 (/ (+ a b) PI)) (/ 1 (/ (+ a b) PI))) (/ 1 (/ (+ a b) PI))) (sqrt (/ 1 (/ (+ a b) PI))) (sqrt (/ 1 (/ (+ a b) PI))) (- 1) (- (/ (+ a b) PI)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ a b) PI)) (cbrt (/ (+ a b) PI)))) (/ (cbrt 1) (cbrt (/ (+ a b) PI))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ a b) PI))) (/ (cbrt 1) (sqrt (/ (+ a b) PI))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt PI) (cbrt PI)))) (/ (cbrt 1) (/ (cbrt (+ a b)) (cbrt PI))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt PI))) (/ (cbrt 1) (/ (cbrt (+ a b)) (sqrt PI))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) 1)) (/ (cbrt 1) (/ (cbrt (+ a b)) PI)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ a b)) (* (cbrt PI) (cbrt PI)))) (/ (cbrt 1) (/ (sqrt (+ a b)) (cbrt PI))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ a b)) (sqrt PI))) (/ (cbrt 1) (/ (sqrt (+ a b)) (sqrt PI))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ a b)) 1)) (/ (cbrt 1) (/ (sqrt (+ a b)) PI)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt PI) (cbrt PI)))) (/ (cbrt 1) (/ (+ a b) (cbrt PI))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt PI))) (/ (cbrt 1) (/ (+ a b) (sqrt PI))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ a b) PI)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt PI) (cbrt PI)))) (/ (cbrt 1) (/ (+ a b) (cbrt PI))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt PI))) (/ (cbrt 1) (/ (+ a b) (sqrt PI))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ a b) PI)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ a b) PI)) (/ (* (cbrt 1) (cbrt 1)) (+ a b)) (/ (cbrt 1) (/ 1 PI)) (/ (sqrt 1) (* (cbrt (/ (+ a b) PI)) (cbrt (/ (+ a b) PI)))) (/ (sqrt 1) (cbrt (/ (+ a b) PI))) (/ (sqrt 1) (sqrt (/ (+ a b) PI))) (/ (sqrt 1) (sqrt (/ (+ a b) PI))) (/ (sqrt 1) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt PI) (cbrt PI)))) (/ (sqrt 1) (/ (cbrt 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(cbrt PI))) (sqrt 2))) (/ b (/ (/ 1 (/ (+ a b) (cbrt PI))) 2)) (/ b (/ (/ 1 (/ (+ a b) (sqrt PI))) (cbrt 2))) (/ b (/ (/ 1 (/ (+ a b) (sqrt PI))) (sqrt 2))) (/ b (/ (/ 1 (/ (+ a b) (sqrt PI))) 2)) (/ b (/ (/ 1 (/ (+ a b) PI)) (cbrt 2))) (/ b (/ (/ 1 (/ (+ a b) PI)) (sqrt 2))) (/ b (/ (/ 1 (/ (+ a b) PI)) 2)) (/ b (/ (/ 1 (/ (+ a b) (cbrt PI))) (cbrt 2))) (/ b (/ (/ 1 (/ (+ a b) (cbrt PI))) (sqrt 2))) (/ b (/ (/ 1 (/ (+ a b) (cbrt PI))) 2)) (/ b (/ (/ 1 (/ (+ a b) (sqrt PI))) (cbrt 2))) (/ b (/ (/ 1 (/ (+ a b) (sqrt PI))) (sqrt 2))) (/ b (/ (/ 1 (/ (+ a b) (sqrt PI))) 2)) (/ b (/ (/ 1 (/ (+ a b) PI)) (cbrt 2))) (/ b (/ (/ 1 (/ (+ a b) PI)) (sqrt 2))) (/ b (/ (/ 1 (/ (+ a b) PI)) 2)) (/ b (/ (/ 1 (/ (+ a b) PI)) (cbrt 2))) (/ b (/ (/ 1 (/ (+ a b) PI)) (sqrt 2))) (/ b (/ (/ 1 (/ (+ a b) PI)) 2)) (/ b (/ (/ 1 (/ 1 PI)) (cbrt 2))) (/ b (/ (/ 1 (/ 1 PI)) (sqrt 2))) (/ b (/ (/ 1 (/ 1 PI)) 2)) (/ b (/ (/ 1 (/ (+ a b) PI)) (cbrt 2))) (/ b (/ (/ 1 (/ (+ a b) PI)) (sqrt 2))) (/ b (/ (/ 1 (/ (+ a b) PI)) 2)) (/ b (/ (/ 1 (/ (+ a b) PI)) (cbrt 2))) (/ b (/ (/ 1 (/ (+ a b) PI)) (sqrt 2))) (/ b (/ (/ 1 (/ (+ a b) PI)) 2)) (/ b (/ PI (cbrt 2))) (/ b (/ PI (sqrt 2))) (/ b (/ PI 2)) (/ b (/ (/ 1 (/ (+ a b) PI)) 2)) (/ b (/ 1 2)) (* b 2) (real->posit16 (/ (/ (/ 1 (/ (+ a b) PI)) 2) b)) 0 0 0 (+ (/ b PI) (/ a PI)) (+ (/ b PI) (/ a PI)) (+ (/ b PI) (/ a PI)) 0 0 0 0 0 0 21.946 * * [simplify]: iteration 0: 1347 enodes 23.087 * * [simplify]: iteration 1: 2984 enodes 24.214 * * [simplify]: iteration complete: 5000 enodes 24.215 * * [simplify]: Extracting #0: cost 429 inf + 0 24.218 * * [simplify]: Extracting #1: cost 1331 inf + 4 24.223 * * [simplify]: Extracting #2: cost 1614 inf + 4544 24.247 * * [simplify]: Extracting #3: cost 1165 inf + 78066 24.296 * * [simplify]: Extracting #4: cost 265 inf + 282656 24.360 * * [simplify]: Extracting #5: cost 18 inf + 350981 24.443 * * [simplify]: Extracting #6: cost 1 inf + 356035 24.535 * * [simplify]: Extracting #7: cost 0 inf + 356288 24.632 * 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a)) (* (* (cbrt b) (cbrt 2)) (* (cbrt b) (cbrt 2)))) (/ (/ PI (cbrt 2)) (cbrt b)) (/ (/ (/ 1 (+ b a)) (* (cbrt 2) (cbrt 2))) (sqrt b)) (/ (/ PI (cbrt 2)) (sqrt b)) (/ (/ 1 (+ b a)) (* (cbrt 2) (cbrt 2))) (/ PI (* b (cbrt 2))) (/ (/ 1 (+ b a)) (* (* (cbrt b) (cbrt b)) (sqrt 2))) (/ PI (* (cbrt b) (sqrt 2))) (/ (/ (/ 1 (+ b a)) (sqrt 2)) (sqrt b)) (/ (/ PI (sqrt 2)) (sqrt b)) (/ (/ 1 (+ b a)) (sqrt 2)) (/ PI (* b (sqrt 2))) (/ (/ 1 (+ b a)) (* (cbrt b) (cbrt b))) (/ PI (* (cbrt b) 2)) (/ (/ 1 (+ b a)) (sqrt b)) (/ (/ PI 2) (sqrt b)) (/ 1 (+ b a)) (/ PI (* b 2)) (/ (/ 1 (cbrt b)) (cbrt b)) (* (/ (/ 1 (+ b a)) (cbrt b)) (/ PI 2)) (/ 1 (sqrt b)) (* (/ (/ 1 (+ b a)) (sqrt b)) (/ PI 2)) 1 (* (/ (/ 1 (+ b a)) 2) (/ PI b)) (* (/ (/ 1 (+ b a)) (cbrt b)) (/ PI (cbrt b))) (/ 1/2 (cbrt b)) (/ (* (/ 1 (+ b a)) PI) (sqrt b)) (/ 1/2 (sqrt b)) (* (/ 1 (+ b a)) PI) (/ 1/2 b) (/ 1 b) (/ (* b 2) (* (/ 1 (+ b a)) PI)) (* (/ (/ 1 (+ b a)) (* (cbrt b) (cbrt b))) (/ PI 2)) (* (/ (/ 1 (+ b a)) (sqrt b)) (/ PI 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(sqrt 2)) (/ (* b 2) (* (/ 1 (+ b a)) PI)) (/ (* b (cbrt 2)) (/ (* 1 (cbrt PI)) (+ b a))) (/ (* b (sqrt 2)) (/ (* 1 (cbrt PI)) (+ b a))) (/ (* b 2) (/ (* 1 (cbrt PI)) (+ b a))) (* (/ b (/ 1 (/ (+ b a) (sqrt PI)))) (cbrt 2)) (/ (* b (sqrt 2)) (/ 1 (/ (+ b a) (sqrt PI)))) (* (/ b (/ 1 (/ (+ b a) (sqrt PI)))) 2) (/ (* b (cbrt 2)) (* (/ 1 (+ b a)) PI)) (* (/ b (* (/ 1 (+ b a)) PI)) (sqrt 2)) (/ (* b 2) (* (/ 1 (+ b a)) PI)) (/ (* b (cbrt 2)) (* (/ 1 (+ b a)) PI)) (* (/ b (* (/ 1 (+ b a)) PI)) (sqrt 2)) (/ (* b 2) (* (/ 1 (+ b a)) PI)) (* (/ b PI) (cbrt 2)) (* (/ b PI) (sqrt 2)) (/ (* b 2) PI) (/ (* b (cbrt 2)) (* (/ 1 (+ b a)) PI)) (* (/ b (* (/ 1 (+ b a)) PI)) (sqrt 2)) (/ (* b 2) (* (/ 1 (+ b a)) PI)) (/ (* b (cbrt 2)) (* (/ 1 (+ b a)) PI)) (* (/ b (* (/ 1 (+ b a)) PI)) (sqrt 2)) (/ (* b 2) (* (/ 1 (+ b a)) PI)) (* (/ b PI) (cbrt 2)) (* (/ b PI) (sqrt 2)) (/ (* b 2) PI) (/ (* b 2) (* (/ 1 (+ b a)) PI)) (* b 2) (* b 2) (real->posit16 (* (/ (/ 1 (+ b a)) 2) (/ PI b))) 0 0 0 (+ (/ b PI) (/ a PI)) (+ (/ b PI) (/ a PI)) (+ (/ b PI) (/ a PI)) 0 0 0 0 0 0 24.831 * * * [progress]: adding candidates to table 29.973 * [progress]: [Phase 3 of 3] Extracting. 29.973 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 29.979 * * * [regime-changes]: Trying 3 branch expressions: ((* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) b a) 29.979 * * * * [regimes]: Trying to branch on (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) from (# # # # # # # # #) 30.079 * * * * [regimes]: Trying to branch on b from (# # # # # # # # #) 30.162 * * * * [regimes]: Trying to branch on a from (# # # # # # # # #) 30.207 * * * [regime]: Found split indices: #