15.421 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.062 * [progress]: [Phase 2 of 3] Improving. 0.062 * [simplify]: Simplifying: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 0.063 * * [simplify]: iteration 0: 15 enodes 0.079 * * [simplify]: iteration 1: 30 enodes 0.091 * * [simplify]: iteration 2: 89 enodes 0.132 * * [simplify]: iteration 3: 378 enodes 0.406 * * [simplify]: iteration 4: 1772 enodes 1.726 * * [simplify]: iteration complete: 5000 enodes 1.726 * * [simplify]: Extracting #0: cost 1 inf + 0 1.726 * * [simplify]: Extracting #1: cost 202 inf + 0 1.740 * * [simplify]: Extracting #2: cost 826 inf + 212 1.756 * * [simplify]: Extracting #3: cost 877 inf + 28393 1.809 * * [simplify]: Extracting #4: cost 221 inf + 168085 1.895 * * [simplify]: Extracting #5: cost 11 inf + 219351 1.990 * * [simplify]: Extracting #6: cost 0 inf + 222875 2.093 * [simplify]: Simplified to: (/ (* (/ (- (/ 1.0 a) (/ 1.0 b)) 2.0) PI) (/ (* (+ a b) (- b a)) 1.0)) 2.094 * * [progress]: iteration 1 / 4 2.094 * * * [progress]: picking best candidate 2.103 * * * * [pick]: Picked # 2.103 * * * [progress]: localizing error 2.152 * * * [progress]: generating rewritten candidates 2.152 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.288 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 2.301 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.313 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.375 * * * [progress]: generating series expansions 2.375 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.377 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) 2.377 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in (b a) around 0 2.377 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in a 2.377 * [taylor]: Taking taylor expansion of 0.5 in a 2.377 * [backup-simplify]: Simplify 0.5 into 0.5 2.377 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in a 2.377 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 2.377 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 2.377 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 2.377 * [taylor]: Taking taylor expansion of 1.0 in a 2.377 * [backup-simplify]: Simplify 1.0 into 1.0 2.377 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.377 * [taylor]: Taking taylor expansion of a in a 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.377 * [backup-simplify]: Simplify (/ 1 1) into 1 2.377 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 2.377 * [taylor]: Taking taylor expansion of 1.0 in a 2.377 * [backup-simplify]: Simplify 1.0 into 1.0 2.377 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.377 * [taylor]: Taking taylor expansion of b in a 2.378 * [backup-simplify]: Simplify b into b 2.378 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.378 * [taylor]: Taking taylor expansion of PI in a 2.378 * [backup-simplify]: Simplify PI into PI 2.378 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.378 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.378 * [taylor]: Taking taylor expansion of b in a 2.378 * [backup-simplify]: Simplify b into b 2.378 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.378 * [taylor]: Taking taylor expansion of a in a 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.379 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.379 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 2.379 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.380 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.380 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 2.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 2.380 * [taylor]: Taking taylor expansion of 0.5 in b 2.380 * [backup-simplify]: Simplify 0.5 into 0.5 2.380 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 2.380 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 2.380 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 2.380 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 2.380 * [taylor]: Taking taylor expansion of 1.0 in b 2.380 * [backup-simplify]: Simplify 1.0 into 1.0 2.380 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.380 * [taylor]: Taking taylor expansion of a in b 2.380 * [backup-simplify]: Simplify a into a 2.380 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.381 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 2.381 * [taylor]: Taking taylor expansion of 1.0 in b 2.381 * [backup-simplify]: Simplify 1.0 into 1.0 2.381 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.381 * [taylor]: Taking taylor expansion of b in b 2.381 * [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 PI in b 2.381 * [backup-simplify]: Simplify PI into PI 2.381 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.381 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.381 * [taylor]: Taking taylor expansion of b in b 2.381 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify 1 into 1 2.381 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.381 * [taylor]: Taking taylor expansion of a in b 2.381 * [backup-simplify]: Simplify a into a 2.382 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.382 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.383 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.384 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 2.384 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.384 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.384 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.385 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 2.385 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 2.385 * [taylor]: Taking taylor expansion of 0.5 in b 2.385 * [backup-simplify]: Simplify 0.5 into 0.5 2.385 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 2.385 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 2.385 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 2.385 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 2.385 * [taylor]: Taking taylor expansion of 1.0 in b 2.385 * [backup-simplify]: Simplify 1.0 into 1.0 2.385 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.385 * [taylor]: Taking taylor expansion of a in b 2.385 * [backup-simplify]: Simplify a into a 2.385 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.385 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 2.385 * [taylor]: Taking taylor expansion of 1.0 in b 2.385 * [backup-simplify]: Simplify 1.0 into 1.0 2.385 * [taylor]: Taking taylor expansion of (/ 1 b) in b 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 2.386 * [backup-simplify]: Simplify (/ 1 1) into 1 2.386 * [taylor]: Taking taylor expansion of PI in b 2.386 * [backup-simplify]: Simplify PI into PI 2.386 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.386 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.386 * [taylor]: Taking taylor expansion of b in b 2.386 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify 1 into 1 2.386 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.386 * [taylor]: Taking taylor expansion of a in b 2.386 * [backup-simplify]: Simplify a into a 2.386 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.387 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.388 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.388 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 2.388 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.389 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.389 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.389 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 2.390 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 2.390 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.390 * [taylor]: Taking taylor expansion of 0.5 in a 2.390 * [backup-simplify]: Simplify 0.5 into 0.5 2.390 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.390 * [taylor]: Taking taylor expansion of PI in a 2.390 * [backup-simplify]: Simplify PI into PI 2.390 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.390 * [taylor]: Taking taylor expansion of a in a 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 2.391 * [backup-simplify]: Simplify (/ PI 1) into PI 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 (+ (* 0.5 0) (* 0 PI)) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.393 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 2.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.394 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.395 * [backup-simplify]: Simplify (- 0) into 0 2.395 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 2.395 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 2.396 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.396 * [backup-simplify]: Simplify (- 0) into 0 2.396 * [backup-simplify]: Simplify (+ 0 0) into 0 2.397 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) (- (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into (- (* 1.0 (/ PI (pow a 3)))) 2.397 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2))))) into (- (* 0.5 (/ PI (pow a 3)))) 2.397 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 2.397 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 2.397 * [taylor]: Taking taylor expansion of 0.5 in a 2.397 * [backup-simplify]: Simplify 0.5 into 0.5 2.397 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 2.397 * [taylor]: Taking taylor expansion of PI in a 2.397 * [backup-simplify]: Simplify PI into PI 2.397 * [taylor]: Taking taylor expansion of (pow a 3) in a 2.397 * [taylor]: Taking taylor expansion of a in a 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (* 1 1) into 1 2.398 * [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 2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.405 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.405 * [backup-simplify]: Simplify (- 0) into 0 2.405 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.408 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 2.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.410 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 2.410 * [backup-simplify]: Simplify (- 0) into 0 2.410 * [backup-simplify]: Simplify (+ 0 0) into 0 2.411 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 2.412 * [backup-simplify]: Simplify (* 1 1) into 1 2.412 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.413 * [backup-simplify]: Simplify (- 0) into 0 2.413 * [backup-simplify]: Simplify (+ 1 0) into 1 2.414 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 1 (- (pow a 2)))) (* (- (* 1.0 (/ PI (pow a 3)))) (/ 0 (- (pow a 2)))))) into (* 1.0 (/ PI (pow a 4))) 2.414 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow a 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2)))))) into (* 0.5 (/ PI (pow a 4))) 2.414 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 2.414 * [taylor]: Taking taylor expansion of 0.5 in a 2.415 * [backup-simplify]: Simplify 0.5 into 0.5 2.415 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 2.415 * [taylor]: Taking taylor expansion of PI in a 2.415 * [backup-simplify]: Simplify PI into PI 2.415 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.415 * [taylor]: Taking taylor expansion of a in a 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify 1 into 1 2.415 * [backup-simplify]: Simplify (* 1 1) into 1 2.415 * [backup-simplify]: Simplify (* 1 1) into 1 2.416 * [backup-simplify]: Simplify (/ PI 1) into PI 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.424 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.424 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.428 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 2.432 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.432 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.432 * [taylor]: Taking taylor expansion of 0.5 in a 2.432 * [backup-simplify]: Simplify 0.5 into 0.5 2.432 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.432 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 2.432 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 2.432 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 2.432 * [taylor]: Taking taylor expansion of 1.0 in a 2.432 * [backup-simplify]: Simplify 1.0 into 1.0 2.432 * [taylor]: Taking taylor expansion of a in a 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 2.433 * [taylor]: Taking taylor expansion of 1.0 in a 2.433 * [backup-simplify]: Simplify 1.0 into 1.0 2.433 * [taylor]: Taking taylor expansion of b in a 2.433 * [backup-simplify]: Simplify b into b 2.433 * [taylor]: Taking taylor expansion of PI in a 2.433 * [backup-simplify]: Simplify PI into PI 2.433 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.433 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.433 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.433 * [taylor]: Taking taylor expansion of b in a 2.433 * [backup-simplify]: Simplify b into b 2.433 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.433 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.433 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.433 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.433 * [taylor]: Taking taylor expansion of a in a 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.434 * [backup-simplify]: Simplify (* 1 1) into 1 2.434 * [backup-simplify]: Simplify (/ 1 1) into 1 2.434 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.434 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 2.434 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 2.434 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 2.435 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 2.435 * [backup-simplify]: Simplify (- 1) into -1 2.435 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.435 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 2.435 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.435 * [taylor]: Taking taylor expansion of 0.5 in b 2.435 * [backup-simplify]: Simplify 0.5 into 0.5 2.436 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.436 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 2.436 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 2.436 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.436 * [taylor]: Taking taylor expansion of 1.0 in b 2.436 * [backup-simplify]: Simplify 1.0 into 1.0 2.436 * [taylor]: Taking taylor expansion of a in b 2.436 * [backup-simplify]: Simplify a into a 2.436 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.436 * [taylor]: Taking taylor expansion of 1.0 in b 2.436 * [backup-simplify]: Simplify 1.0 into 1.0 2.436 * [taylor]: Taking taylor expansion of b in b 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 1 into 1 2.436 * [taylor]: Taking taylor expansion of PI in b 2.436 * [backup-simplify]: Simplify PI into PI 2.436 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.436 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.436 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.436 * [taylor]: Taking taylor expansion of b in b 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 1 into 1 2.436 * [backup-simplify]: Simplify (* 1 1) into 1 2.437 * [backup-simplify]: Simplify (/ 1 1) into 1 2.437 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.437 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.437 * [taylor]: Taking taylor expansion of a in b 2.437 * [backup-simplify]: Simplify a into a 2.437 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.437 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.437 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.437 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.438 * [backup-simplify]: Simplify (- 0) into 0 2.438 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 2.438 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 2.438 * [backup-simplify]: Simplify (+ 1 0) into 1 2.438 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 2.438 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.438 * [taylor]: Taking taylor expansion of 0.5 in b 2.439 * [backup-simplify]: Simplify 0.5 into 0.5 2.439 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.439 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 2.439 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 2.439 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.439 * [taylor]: Taking taylor expansion of 1.0 in b 2.439 * [backup-simplify]: Simplify 1.0 into 1.0 2.439 * [taylor]: Taking taylor expansion of a in b 2.439 * [backup-simplify]: Simplify a into a 2.439 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.439 * [taylor]: Taking taylor expansion of 1.0 in b 2.439 * [backup-simplify]: Simplify 1.0 into 1.0 2.439 * [taylor]: Taking taylor expansion of b in b 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.439 * [taylor]: Taking taylor expansion of PI in b 2.439 * [backup-simplify]: Simplify PI into PI 2.439 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.439 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.439 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.439 * [taylor]: Taking taylor expansion of b in b 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.439 * [backup-simplify]: Simplify (* 1 1) into 1 2.440 * [backup-simplify]: Simplify (/ 1 1) into 1 2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.440 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.440 * [taylor]: Taking taylor expansion of a in b 2.440 * [backup-simplify]: Simplify a into a 2.440 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.440 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.440 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.440 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.441 * [backup-simplify]: Simplify (- 0) into 0 2.441 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 2.441 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 2.441 * [backup-simplify]: Simplify (+ 1 0) into 1 2.441 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 2.442 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 2.442 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 2.442 * [taylor]: Taking taylor expansion of 0.5 in a 2.442 * [backup-simplify]: Simplify 0.5 into 0.5 2.442 * [taylor]: Taking taylor expansion of (* a PI) in a 2.442 * [taylor]: Taking taylor expansion of a in a 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.442 * [taylor]: Taking taylor expansion of PI in a 2.442 * [backup-simplify]: Simplify PI into PI 2.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.444 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.445 * [backup-simplify]: Simplify (* 0 PI) into 0 2.445 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 2.447 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.447 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.448 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.449 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 2.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (+ 0 0) into 0 2.453 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 2.454 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 2.454 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 2.454 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.455 * [taylor]: Taking taylor expansion of 0.5 in a 2.455 * [backup-simplify]: Simplify 0.5 into 0.5 2.455 * [taylor]: Taking taylor expansion of PI in a 2.455 * [backup-simplify]: Simplify PI into PI 2.455 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.456 * [backup-simplify]: Simplify (- 0) into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.458 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.458 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 2.459 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.460 * [backup-simplify]: Simplify (- 0) into 0 2.460 * [backup-simplify]: Simplify (+ 0 0) into 0 2.461 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 2.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.463 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.463 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 2.466 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 2.466 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 2.466 * [taylor]: Taking taylor expansion of 0.5 in a 2.466 * [backup-simplify]: Simplify 0.5 into 0.5 2.466 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.466 * [taylor]: Taking taylor expansion of PI in a 2.466 * [backup-simplify]: Simplify PI into PI 2.466 * [taylor]: Taking taylor expansion of a in a 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [backup-simplify]: Simplify (/ PI 1) into PI 2.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.470 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.471 * [backup-simplify]: Simplify (- 0) into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.474 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 2.475 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.475 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.475 * [taylor]: Taking taylor expansion of 0.5 in a 2.475 * [backup-simplify]: Simplify 0.5 into 0.5 2.475 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.475 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 2.475 * [taylor]: Taking taylor expansion of PI in a 2.475 * [backup-simplify]: Simplify PI into PI 2.475 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 2.475 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 2.475 * [taylor]: Taking taylor expansion of 1.0 in a 2.475 * [backup-simplify]: Simplify 1.0 into 1.0 2.475 * [taylor]: Taking taylor expansion of b in a 2.475 * [backup-simplify]: Simplify b into b 2.475 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 2.475 * [taylor]: Taking taylor expansion of 1.0 in a 2.475 * [backup-simplify]: Simplify 1.0 into 1.0 2.475 * [taylor]: Taking taylor expansion of a in a 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 1 into 1 2.475 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.475 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.475 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.475 * [taylor]: Taking taylor expansion of b in a 2.475 * [backup-simplify]: Simplify b into b 2.475 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.476 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.476 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.476 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.476 * [taylor]: Taking taylor expansion of a in a 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 1 into 1 2.476 * [backup-simplify]: Simplify (* 1 1) into 1 2.476 * [backup-simplify]: Simplify (/ 1 1) into 1 2.476 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 2.477 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.477 * [backup-simplify]: Simplify (- 0) into 0 2.477 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 2.477 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 2.478 * [backup-simplify]: Simplify (- 1) into -1 2.478 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.478 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) -1) into (* -1.0 (* PI b)) 2.478 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.478 * [taylor]: Taking taylor expansion of 0.5 in b 2.478 * [backup-simplify]: Simplify 0.5 into 0.5 2.478 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.478 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 2.478 * [taylor]: Taking taylor expansion of PI in b 2.478 * [backup-simplify]: Simplify PI into PI 2.478 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 2.478 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.478 * [taylor]: Taking taylor expansion of 1.0 in b 2.478 * [backup-simplify]: Simplify 1.0 into 1.0 2.478 * [taylor]: Taking taylor expansion of b in b 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.479 * [taylor]: Taking taylor expansion of 1.0 in b 2.479 * [backup-simplify]: Simplify 1.0 into 1.0 2.479 * [taylor]: Taking taylor expansion of a in b 2.479 * [backup-simplify]: Simplify a into a 2.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.479 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.479 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.479 * [taylor]: Taking taylor expansion of b in b 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.479 * [backup-simplify]: Simplify (* 1 1) into 1 2.479 * [backup-simplify]: Simplify (/ 1 1) into 1 2.479 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.479 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.479 * [taylor]: Taking taylor expansion of a in b 2.480 * [backup-simplify]: Simplify a into a 2.480 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.480 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.480 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.480 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.480 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 2.480 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 2.480 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 2.481 * [backup-simplify]: Simplify (+ 1 0) into 1 2.481 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 2.481 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.481 * [taylor]: Taking taylor expansion of 0.5 in b 2.481 * [backup-simplify]: Simplify 0.5 into 0.5 2.481 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.481 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 2.481 * [taylor]: Taking taylor expansion of PI in b 2.481 * [backup-simplify]: Simplify PI into PI 2.481 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 2.481 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.481 * [taylor]: Taking taylor expansion of 1.0 in b 2.481 * [backup-simplify]: Simplify 1.0 into 1.0 2.481 * [taylor]: Taking taylor expansion of b in b 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 1 into 1 2.481 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.481 * [taylor]: Taking taylor expansion of 1.0 in b 2.481 * [backup-simplify]: Simplify 1.0 into 1.0 2.481 * [taylor]: Taking taylor expansion of a in b 2.481 * [backup-simplify]: Simplify a into a 2.481 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.481 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.481 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.482 * [taylor]: Taking taylor expansion of b in b 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [backup-simplify]: Simplify (* 1 1) into 1 2.482 * [backup-simplify]: Simplify (/ 1 1) into 1 2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.482 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.482 * [taylor]: Taking taylor expansion of a in b 2.482 * [backup-simplify]: Simplify a into a 2.482 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.483 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.483 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.483 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.483 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 2.483 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 2.483 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 2.484 * [backup-simplify]: Simplify (+ 1 0) into 1 2.484 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 2.484 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (* a PI))) into (* -0.5 (* a PI)) 2.484 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 2.484 * [taylor]: Taking taylor expansion of -0.5 in a 2.484 * [backup-simplify]: Simplify -0.5 into -0.5 2.484 * [taylor]: Taking taylor expansion of (* a PI) in a 2.484 * [taylor]: Taking taylor expansion of a in a 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [taylor]: Taking taylor expansion of PI in a 2.484 * [backup-simplify]: Simplify PI into PI 2.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.487 * [backup-simplify]: Simplify (* 0 PI) into 0 2.488 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.490 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 2.490 * [backup-simplify]: Simplify (- 0) into 0 2.490 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.491 * [backup-simplify]: Simplify (+ (* PI 1.0) (* 0 (- (* 1.0 a)))) into (* 1.0 PI) 2.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.492 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* a PI)) (/ 0 1)))) into (* 1.0 PI) 2.495 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 PI)) (* 0 (* -1.0 (* a PI)))) into (* 0.5 PI) 2.495 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.495 * [taylor]: Taking taylor expansion of 0.5 in a 2.495 * [backup-simplify]: Simplify 0.5 into 0.5 2.495 * [taylor]: Taking taylor expansion of PI in a 2.495 * [backup-simplify]: Simplify PI into PI 2.496 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.498 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.498 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.499 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 2.500 * [backup-simplify]: Simplify (- 0) into 0 2.500 * [backup-simplify]: Simplify (+ 0 0) into 0 2.503 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1.0) (* 0 (- (* 1.0 a))))) into 0 2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.505 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.506 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (* 1.0 PI) (/ 0 1)))) into (- (* 1.0 (/ PI a))) 2.508 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI a)))) (+ (* 0 (* 1.0 PI)) (* 0 (* -1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 2.508 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 2.508 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 2.508 * [taylor]: Taking taylor expansion of 0.5 in a 2.508 * [backup-simplify]: Simplify 0.5 into 0.5 2.508 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.508 * [taylor]: Taking taylor expansion of PI in a 2.508 * [backup-simplify]: Simplify PI into PI 2.508 * [taylor]: Taking taylor expansion of a in a 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (/ PI 1) into PI 2.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.513 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.513 * [backup-simplify]: Simplify (- 0) into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.517 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.517 * [backup-simplify]: Simplify (- (* b b) (* a a)) into (- (pow b 2) (pow a 2)) 2.517 * [approximate]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in (b a) around 0 2.517 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.517 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.517 * [taylor]: Taking taylor expansion of b in a 2.517 * [backup-simplify]: Simplify b into b 2.517 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.517 * [taylor]: Taking taylor expansion of a in a 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.518 * [taylor]: Taking taylor expansion of (pow b 2) 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 (pow a 2) in b 2.518 * [taylor]: Taking taylor expansion of a in b 2.518 * [backup-simplify]: Simplify a into a 2.518 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.518 * [taylor]: Taking taylor expansion of (pow b 2) 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 (pow a 2) 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 (* a a) into (pow a 2) 2.518 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.518 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.518 * [taylor]: Taking taylor expansion of (- (pow a 2)) in a 2.518 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.518 * [taylor]: Taking taylor expansion of a in a 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.519 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.519 * [backup-simplify]: Simplify (- 0) into 0 2.519 * [backup-simplify]: Simplify (+ 0 0) into 0 2.519 * [taylor]: Taking taylor expansion of 0 in a 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify (* 1 1) into 1 2.520 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.520 * [backup-simplify]: Simplify (- 0) into 0 2.521 * [backup-simplify]: Simplify (+ 1 0) into 1 2.521 * [taylor]: Taking taylor expansion of 1 in a 2.521 * [backup-simplify]: Simplify 1 into 1 2.521 * [backup-simplify]: Simplify 1 into 1 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify (* 1 1) into 1 2.522 * [backup-simplify]: Simplify (- 1) into -1 2.522 * [backup-simplify]: Simplify -1 into -1 2.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.523 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 2.523 * [backup-simplify]: Simplify (- 0) into 0 2.524 * [backup-simplify]: Simplify (+ 0 0) into 0 2.524 * [taylor]: Taking taylor expansion of 0 in a 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.525 * [backup-simplify]: Simplify (- 0) into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.526 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 2.527 * [backup-simplify]: Simplify (- 0) into 0 2.527 * [backup-simplify]: Simplify (+ 0 0) into 0 2.527 * [taylor]: Taking taylor expansion of 0 in a 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify (+ (* -1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (pow a 2)) 2.528 * [backup-simplify]: Simplify (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 2.528 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.528 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.528 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.528 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.528 * [taylor]: Taking taylor expansion of b in a 2.528 * [backup-simplify]: Simplify b into b 2.528 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.528 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.528 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.528 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.528 * [taylor]: Taking taylor expansion of a in a 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.529 * [backup-simplify]: Simplify (* 1 1) into 1 2.529 * [backup-simplify]: Simplify (/ 1 1) into 1 2.529 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.529 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.529 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.529 * [taylor]: Taking taylor expansion of b in b 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 1 into 1 2.529 * [backup-simplify]: Simplify (* 1 1) into 1 2.530 * [backup-simplify]: Simplify (/ 1 1) into 1 2.530 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.530 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.530 * [taylor]: Taking taylor expansion of a in b 2.530 * [backup-simplify]: Simplify a into a 2.530 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.530 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.530 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.530 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.530 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.530 * [taylor]: Taking taylor expansion of b in b 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.531 * [backup-simplify]: Simplify (* 1 1) into 1 2.531 * [backup-simplify]: Simplify (/ 1 1) into 1 2.531 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.531 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.531 * [taylor]: Taking taylor expansion of a in b 2.531 * [backup-simplify]: Simplify a into a 2.531 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.531 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.532 * [backup-simplify]: Simplify (+ 1 0) into 1 2.532 * [taylor]: Taking taylor expansion of 1 in a 2.532 * [backup-simplify]: Simplify 1 into 1 2.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.533 * [backup-simplify]: Simplify (+ 0 0) into 0 2.533 * [taylor]: Taking taylor expansion of 0 in a 2.533 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.535 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.535 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.535 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 2.535 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.535 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.535 * [taylor]: Taking taylor expansion of a in a 2.535 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify 1 into 1 2.536 * [backup-simplify]: Simplify (* 1 1) into 1 2.536 * [backup-simplify]: Simplify (/ 1 1) into 1 2.536 * [backup-simplify]: Simplify (- 1) into -1 2.536 * [backup-simplify]: Simplify -1 into -1 2.537 * [backup-simplify]: Simplify 1 into 1 2.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.538 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.539 * [backup-simplify]: Simplify (- 0) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.539 * [taylor]: Taking taylor expansion of 0 in a 2.539 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.541 * [backup-simplify]: Simplify (- 0) into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.543 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.544 * [backup-simplify]: Simplify (- 0) into 0 2.544 * [backup-simplify]: Simplify (+ 0 0) into 0 2.544 * [taylor]: Taking taylor expansion of 0 in a 2.544 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.546 * [backup-simplify]: Simplify (- 0) into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (- (pow b 2) (pow a 2)) 2.547 * [backup-simplify]: Simplify (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 2.547 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.547 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.547 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.547 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.547 * [taylor]: Taking taylor expansion of b in a 2.547 * [backup-simplify]: Simplify b into b 2.547 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.547 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.547 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.547 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.547 * [taylor]: Taking taylor expansion of a in a 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify 1 into 1 2.548 * [backup-simplify]: Simplify (* 1 1) into 1 2.548 * [backup-simplify]: Simplify (/ 1 1) into 1 2.548 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.548 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.548 * [taylor]: Taking taylor expansion of (pow b 2) in b 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 2.549 * [backup-simplify]: Simplify (* 1 1) into 1 2.549 * [backup-simplify]: Simplify (/ 1 1) into 1 2.549 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.549 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.549 * [taylor]: Taking taylor expansion of a in b 2.549 * [backup-simplify]: Simplify a into a 2.549 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.549 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.549 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.549 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.549 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.549 * [taylor]: Taking taylor expansion of b in b 2.549 * [backup-simplify]: Simplify 0 into 0 2.549 * [backup-simplify]: Simplify 1 into 1 2.550 * [backup-simplify]: Simplify (* 1 1) into 1 2.550 * [backup-simplify]: Simplify (/ 1 1) into 1 2.550 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.550 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.550 * [taylor]: Taking taylor expansion of a in b 2.550 * [backup-simplify]: Simplify a into a 2.550 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.550 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.551 * [backup-simplify]: Simplify (+ 1 0) into 1 2.551 * [taylor]: Taking taylor expansion of 1 in a 2.551 * [backup-simplify]: Simplify 1 into 1 2.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.552 * [backup-simplify]: Simplify (+ 0 0) into 0 2.552 * [taylor]: Taking taylor expansion of 0 in a 2.552 * [backup-simplify]: Simplify 0 into 0 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.554 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.554 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.554 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 2.554 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.555 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.555 * [taylor]: Taking taylor expansion of a in a 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify 1 into 1 2.555 * [backup-simplify]: Simplify (* 1 1) into 1 2.555 * [backup-simplify]: Simplify (/ 1 1) into 1 2.556 * [backup-simplify]: Simplify (- 1) into -1 2.556 * [backup-simplify]: Simplify -1 into -1 2.556 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.558 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.558 * [backup-simplify]: Simplify (- 0) into 0 2.559 * [backup-simplify]: Simplify (+ 0 0) into 0 2.559 * [taylor]: Taking taylor expansion of 0 in a 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.560 * [backup-simplify]: Simplify (- 0) into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.563 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.563 * [backup-simplify]: Simplify (- 0) into 0 2.564 * [backup-simplify]: Simplify (+ 0 0) into 0 2.564 * [taylor]: Taking taylor expansion of 0 in a 2.564 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.566 * [backup-simplify]: Simplify (- 0) into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (- (pow b 2) (pow a 2)) 2.566 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.567 * [backup-simplify]: Simplify (/ 1.0 (- (* b b) (* a a))) into (/ 1.0 (- (pow b 2) (pow a 2))) 2.567 * [approximate]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in (b a) around 0 2.567 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in a 2.567 * [taylor]: Taking taylor expansion of 1.0 in a 2.567 * [backup-simplify]: Simplify 1.0 into 1.0 2.567 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.567 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.567 * [taylor]: Taking taylor expansion of b in a 2.567 * [backup-simplify]: Simplify b into b 2.567 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.567 * [taylor]: Taking taylor expansion of a in a 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.567 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.567 * [backup-simplify]: Simplify (/ 1.0 (pow b 2)) into (/ 1.0 (pow b 2)) 2.567 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 2.567 * [taylor]: Taking taylor expansion of 1.0 in b 2.567 * [backup-simplify]: Simplify 1.0 into 1.0 2.567 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.567 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.567 * [taylor]: Taking taylor expansion of b in b 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.568 * [taylor]: Taking taylor expansion of a in b 2.568 * [backup-simplify]: Simplify a into a 2.568 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.568 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.568 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.568 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 2.568 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 2.568 * [taylor]: Taking taylor expansion of 1.0 in b 2.568 * [backup-simplify]: Simplify 1.0 into 1.0 2.568 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.568 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.568 * [taylor]: Taking taylor expansion of b in b 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.568 * [taylor]: Taking taylor expansion of a in b 2.568 * [backup-simplify]: Simplify a into a 2.568 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.569 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.569 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.569 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 2.569 * [taylor]: Taking taylor expansion of (/ -1.0 (pow a 2)) in a 2.569 * [taylor]: Taking taylor expansion of -1.0 in a 2.569 * [backup-simplify]: Simplify -1.0 into -1.0 2.569 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.569 * [taylor]: Taking taylor expansion of a in a 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.570 * [backup-simplify]: Simplify (* 1 1) into 1 2.570 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 2.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)))) into 0 2.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.574 * [backup-simplify]: Simplify (- 0) into 0 2.574 * [backup-simplify]: Simplify (+ 0 0) into 0 2.574 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (/ -1.0 (pow a 2)) (/ 0 (- (pow a 2)))))) into 0 2.574 * [taylor]: Taking taylor expansion of 0 in a 2.574 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (* 1 1) into 1 2.576 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.576 * [backup-simplify]: Simplify (- 0) into 0 2.577 * [backup-simplify]: Simplify (+ 1 0) into 1 2.577 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (/ -1.0 (pow a 2)) (/ 1 (- (pow a 2)))) (* 0 (/ 0 (- (pow a 2)))))) into (- (* 1.0 (/ 1 (pow a 4)))) 2.577 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 4)))) in a 2.577 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 4))) in a 2.577 * [taylor]: Taking taylor expansion of 1.0 in a 2.577 * [backup-simplify]: Simplify 1.0 into 1.0 2.577 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 2.577 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.577 * [taylor]: Taking taylor expansion of a in a 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.578 * [backup-simplify]: Simplify (* 1 1) into 1 2.578 * [backup-simplify]: Simplify (* 1 1) into 1 2.578 * [backup-simplify]: Simplify (/ 1 1) into 1 2.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.585 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.585 * [backup-simplify]: Simplify (- 0) into 0 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 2.587 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 2.587 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.587 * [taylor]: Taking taylor expansion of 1.0 in a 2.587 * [backup-simplify]: Simplify 1.0 into 1.0 2.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.587 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.587 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.587 * [taylor]: Taking taylor expansion of b in a 2.587 * [backup-simplify]: Simplify b into b 2.587 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.587 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.587 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.587 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.587 * [taylor]: Taking taylor expansion of a in a 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 1 into 1 2.587 * [backup-simplify]: Simplify (* 1 1) into 1 2.587 * [backup-simplify]: Simplify (/ 1 1) into 1 2.588 * [backup-simplify]: Simplify (- 1) into -1 2.588 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.588 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 2.588 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.588 * [taylor]: Taking taylor expansion of 1.0 in b 2.588 * [backup-simplify]: Simplify 1.0 into 1.0 2.588 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.588 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.588 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.588 * [taylor]: Taking taylor expansion of b in b 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (* 1 1) into 1 2.589 * [backup-simplify]: Simplify (/ 1 1) into 1 2.589 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.589 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.589 * [taylor]: Taking taylor expansion of a in b 2.589 * [backup-simplify]: Simplify a into a 2.589 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.589 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.589 * [backup-simplify]: Simplify (+ 1 0) into 1 2.590 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.590 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.590 * [taylor]: Taking taylor expansion of 1.0 in b 2.590 * [backup-simplify]: Simplify 1.0 into 1.0 2.590 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.590 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.590 * [taylor]: Taking taylor expansion of b in b 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 1 into 1 2.590 * [backup-simplify]: Simplify (* 1 1) into 1 2.590 * [backup-simplify]: Simplify (/ 1 1) into 1 2.590 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.590 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.590 * [taylor]: Taking taylor expansion of a in b 2.590 * [backup-simplify]: Simplify a into a 2.590 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.591 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.591 * [backup-simplify]: Simplify (+ 1 0) into 1 2.591 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.591 * [taylor]: Taking taylor expansion of 1.0 in a 2.591 * [backup-simplify]: Simplify 1.0 into 1.0 2.591 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.593 * [backup-simplify]: Simplify (+ 0 0) into 0 2.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 2.593 * [taylor]: Taking taylor expansion of 0 in a 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.594 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.595 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 2.595 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 2.595 * [taylor]: Taking taylor expansion of 1.0 in a 2.595 * [backup-simplify]: Simplify 1.0 into 1.0 2.595 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.595 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.595 * [taylor]: Taking taylor expansion of a in a 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 1 into 1 2.596 * [backup-simplify]: Simplify (* 1 1) into 1 2.596 * [backup-simplify]: Simplify (/ 1 1) into 1 2.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.601 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 2.601 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 2.601 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.601 * [taylor]: Taking taylor expansion of 1.0 in a 2.601 * [backup-simplify]: Simplify 1.0 into 1.0 2.601 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.601 * [taylor]: Taking taylor expansion of (pow b 2) 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 (* b b) into (pow b 2) 2.601 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.601 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.601 * [taylor]: Taking taylor expansion of a in a 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (* 1 1) into 1 2.602 * [backup-simplify]: Simplify (/ 1 1) into 1 2.602 * [backup-simplify]: Simplify (- 1) into -1 2.602 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.603 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 2.603 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.603 * [taylor]: Taking taylor expansion of 1.0 in b 2.603 * [backup-simplify]: Simplify 1.0 into 1.0 2.603 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.603 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.603 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.603 * [taylor]: Taking taylor expansion of b in b 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 2.604 * [backup-simplify]: Simplify (/ 1 1) into 1 2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.604 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.604 * [taylor]: Taking taylor expansion of a in b 2.604 * [backup-simplify]: Simplify a into a 2.604 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.604 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.604 * [backup-simplify]: Simplify (+ 1 0) into 1 2.605 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.605 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.605 * [taylor]: Taking taylor expansion of 1.0 in b 2.605 * [backup-simplify]: Simplify 1.0 into 1.0 2.605 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.605 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.605 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.605 * [taylor]: Taking taylor expansion of b in b 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [backup-simplify]: Simplify (* 1 1) into 1 2.606 * [backup-simplify]: Simplify (/ 1 1) into 1 2.606 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.606 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.606 * [taylor]: Taking taylor expansion of a in b 2.606 * [backup-simplify]: Simplify a into a 2.606 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.606 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.606 * [backup-simplify]: Simplify (+ 1 0) into 1 2.607 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.607 * [taylor]: Taking taylor expansion of 1.0 in a 2.607 * [backup-simplify]: Simplify 1.0 into 1.0 2.607 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.608 * [backup-simplify]: Simplify (+ 0 0) into 0 2.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 2.609 * [taylor]: Taking taylor expansion of 0 in a 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.611 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.611 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 2.612 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 2.612 * [taylor]: Taking taylor expansion of 1.0 in a 2.612 * [backup-simplify]: Simplify 1.0 into 1.0 2.612 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.612 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.612 * [taylor]: Taking taylor expansion of a in a 2.612 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify 1 into 1 2.613 * [backup-simplify]: Simplify (* 1 1) into 1 2.613 * [backup-simplify]: Simplify (/ 1 1) into 1 2.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.620 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.620 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) into (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) 2.621 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in (b a) around 0 2.621 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in a 2.621 * [taylor]: Taking taylor expansion of 0.5 in a 2.621 * [backup-simplify]: Simplify 0.5 into 0.5 2.621 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in a 2.621 * [taylor]: Taking taylor expansion of PI in a 2.621 * [backup-simplify]: Simplify PI into PI 2.621 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.621 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.621 * [taylor]: Taking taylor expansion of b in a 2.621 * [backup-simplify]: Simplify b into b 2.621 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.621 * [taylor]: Taking taylor expansion of a in a 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.621 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.621 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.621 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.621 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 2.621 * [taylor]: Taking taylor expansion of 0.5 in b 2.621 * [backup-simplify]: Simplify 0.5 into 0.5 2.621 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 2.621 * [taylor]: Taking taylor expansion of PI in b 2.621 * [backup-simplify]: Simplify PI into PI 2.621 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.621 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.621 * [taylor]: Taking taylor expansion of b in b 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.621 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.621 * [taylor]: Taking taylor expansion of a in b 2.621 * [backup-simplify]: Simplify a into a 2.621 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.622 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.622 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.622 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 2.622 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 2.622 * [taylor]: Taking taylor expansion of 0.5 in b 2.622 * [backup-simplify]: Simplify 0.5 into 0.5 2.622 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 2.622 * [taylor]: Taking taylor expansion of PI in b 2.622 * [backup-simplify]: Simplify PI into PI 2.622 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.622 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.622 * [taylor]: Taking taylor expansion of b in b 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify 1 into 1 2.622 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.622 * [taylor]: Taking taylor expansion of a in b 2.622 * [backup-simplify]: Simplify a into a 2.622 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.622 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.622 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.622 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 2.623 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI (pow a 2)))) into (* -0.5 (/ PI (pow a 2))) 2.623 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (pow a 2))) in a 2.623 * [taylor]: Taking taylor expansion of -0.5 in a 2.623 * [backup-simplify]: Simplify -0.5 into -0.5 2.623 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.623 * [taylor]: Taking taylor expansion of PI in a 2.623 * [backup-simplify]: Simplify PI into PI 2.623 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.623 * [taylor]: Taking taylor expansion of a in a 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 1 into 1 2.623 * [backup-simplify]: Simplify (* 1 1) into 1 2.623 * [backup-simplify]: Simplify (/ PI 1) into PI 2.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.626 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.626 * [backup-simplify]: Simplify (- 0) into 0 2.627 * [backup-simplify]: Simplify (+ 0 0) into 0 2.627 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into 0 2.627 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (/ PI (pow a 2))))) into 0 2.627 * [taylor]: Taking taylor expansion of 0 in a 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.629 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.629 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify (* 1 1) into 1 2.630 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.630 * [backup-simplify]: Simplify (- 0) into 0 2.630 * [backup-simplify]: Simplify (+ 1 0) into 1 2.631 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 1 (- (pow a 2)))) (* 0 (/ 0 (- (pow a 2)))))) into (- (/ PI (pow a 4))) 2.631 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 4)))) (+ (* 0 0) (* 0 (* -1 (/ PI (pow a 2)))))) into (- (* 0.5 (/ PI (pow a 4)))) 2.631 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 4)))) in a 2.632 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 2.632 * [taylor]: Taking taylor expansion of 0.5 in a 2.632 * [backup-simplify]: Simplify 0.5 into 0.5 2.632 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 2.632 * [taylor]: Taking taylor expansion of PI in a 2.632 * [backup-simplify]: Simplify PI into PI 2.632 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.632 * [taylor]: Taking taylor expansion of a in a 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 1 into 1 2.632 * [backup-simplify]: Simplify (* 1 1) into 1 2.632 * [backup-simplify]: Simplify (* 1 1) into 1 2.632 * [backup-simplify]: Simplify (/ PI 1) into PI 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.640 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.640 * [backup-simplify]: Simplify (- 0) into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.642 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) into (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 2.643 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.643 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.643 * [taylor]: Taking taylor expansion of 0.5 in a 2.643 * [backup-simplify]: Simplify 0.5 into 0.5 2.643 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.643 * [taylor]: Taking taylor expansion of PI in a 2.643 * [backup-simplify]: Simplify PI into PI 2.643 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.644 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.644 * [taylor]: Taking taylor expansion of b in a 2.644 * [backup-simplify]: Simplify b into b 2.644 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.644 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.644 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.644 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.644 * [taylor]: Taking taylor expansion of a in a 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (* 1 1) into 1 2.645 * [backup-simplify]: Simplify (/ 1 1) into 1 2.645 * [backup-simplify]: Simplify (- 1) into -1 2.645 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.646 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 2.646 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.646 * [taylor]: Taking taylor expansion of 0.5 in b 2.646 * [backup-simplify]: Simplify 0.5 into 0.5 2.646 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.646 * [taylor]: Taking taylor expansion of PI in b 2.646 * [backup-simplify]: Simplify PI into PI 2.646 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.646 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.646 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.646 * [taylor]: Taking taylor expansion of b in b 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify (* 1 1) into 1 2.647 * [backup-simplify]: Simplify (/ 1 1) into 1 2.647 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.647 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.647 * [taylor]: Taking taylor expansion of a in b 2.647 * [backup-simplify]: Simplify a into a 2.647 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.647 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.648 * [backup-simplify]: Simplify (+ 1 0) into 1 2.648 * [backup-simplify]: Simplify (/ PI 1) into PI 2.648 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.648 * [taylor]: Taking taylor expansion of 0.5 in b 2.648 * [backup-simplify]: Simplify 0.5 into 0.5 2.648 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.648 * [taylor]: Taking taylor expansion of PI in b 2.649 * [backup-simplify]: Simplify PI into PI 2.649 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.649 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.649 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.649 * [taylor]: Taking taylor expansion of b in b 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (* 1 1) into 1 2.649 * [backup-simplify]: Simplify (/ 1 1) into 1 2.649 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.649 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.649 * [taylor]: Taking taylor expansion of a in b 2.649 * [backup-simplify]: Simplify a into a 2.650 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.650 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.650 * [backup-simplify]: Simplify (+ 1 0) into 1 2.651 * [backup-simplify]: Simplify (/ PI 1) into PI 2.651 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 2.651 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.651 * [taylor]: Taking taylor expansion of 0.5 in a 2.651 * [backup-simplify]: Simplify 0.5 into 0.5 2.651 * [taylor]: Taking taylor expansion of PI in a 2.651 * [backup-simplify]: Simplify PI into PI 2.652 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.654 * [backup-simplify]: Simplify (+ 0 0) into 0 2.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.656 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 2.656 * [taylor]: Taking taylor expansion of 0 in a 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.659 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.659 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 2.662 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 2.662 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.662 * [taylor]: Taking taylor expansion of 0.5 in a 2.662 * [backup-simplify]: Simplify 0.5 into 0.5 2.662 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.662 * [taylor]: Taking taylor expansion of PI in a 2.662 * [backup-simplify]: Simplify PI into PI 2.662 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.662 * [taylor]: Taking taylor expansion of a in a 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [backup-simplify]: Simplify (* 1 1) into 1 2.663 * [backup-simplify]: Simplify (/ PI 1) into PI 2.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) into (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 2.671 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.671 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.671 * [taylor]: Taking taylor expansion of 0.5 in a 2.671 * [backup-simplify]: Simplify 0.5 into 0.5 2.671 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.671 * [taylor]: Taking taylor expansion of PI in a 2.671 * [backup-simplify]: Simplify PI into PI 2.671 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.671 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.671 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.671 * [taylor]: Taking taylor expansion of b in a 2.671 * [backup-simplify]: Simplify b into b 2.671 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.671 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.671 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.671 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.671 * [taylor]: Taking taylor expansion of a in a 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 1 into 1 2.672 * [backup-simplify]: Simplify (* 1 1) into 1 2.672 * [backup-simplify]: Simplify (/ 1 1) into 1 2.672 * [backup-simplify]: Simplify (- 1) into -1 2.673 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.673 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 2.673 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.673 * [taylor]: Taking taylor expansion of 0.5 in b 2.673 * [backup-simplify]: Simplify 0.5 into 0.5 2.673 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.673 * [taylor]: Taking taylor expansion of PI in b 2.673 * [backup-simplify]: Simplify PI into PI 2.673 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.673 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.673 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.673 * [taylor]: Taking taylor expansion of b in b 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify 1 into 1 2.673 * [backup-simplify]: Simplify (* 1 1) into 1 2.674 * [backup-simplify]: Simplify (/ 1 1) into 1 2.674 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.674 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.674 * [taylor]: Taking taylor expansion of a in b 2.674 * [backup-simplify]: Simplify a into a 2.674 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.674 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.674 * [backup-simplify]: Simplify (+ 1 0) into 1 2.674 * [backup-simplify]: Simplify (/ PI 1) into PI 2.674 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.674 * [taylor]: Taking taylor expansion of 0.5 in b 2.674 * [backup-simplify]: Simplify 0.5 into 0.5 2.674 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.674 * [taylor]: Taking taylor expansion of PI in b 2.674 * [backup-simplify]: Simplify PI into PI 2.674 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.674 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.675 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.675 * [taylor]: Taking taylor expansion of b in b 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 1 into 1 2.675 * [backup-simplify]: Simplify (* 1 1) into 1 2.675 * [backup-simplify]: Simplify (/ 1 1) into 1 2.675 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.675 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.675 * [taylor]: Taking taylor expansion of a in b 2.675 * [backup-simplify]: Simplify a into a 2.675 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.675 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.676 * [backup-simplify]: Simplify (+ 1 0) into 1 2.676 * [backup-simplify]: Simplify (/ PI 1) into PI 2.676 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 2.676 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.676 * [taylor]: Taking taylor expansion of 0.5 in a 2.676 * [backup-simplify]: Simplify 0.5 into 0.5 2.676 * [taylor]: Taking taylor expansion of PI in a 2.676 * [backup-simplify]: Simplify PI into PI 2.677 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.677 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (+ 0 0) into 0 2.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 2.679 * [taylor]: Taking taylor expansion of 0 in a 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.681 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.681 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 2.682 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 2.682 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.682 * [taylor]: Taking taylor expansion of 0.5 in a 2.682 * [backup-simplify]: Simplify 0.5 into 0.5 2.682 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.683 * [taylor]: Taking taylor expansion of PI in a 2.683 * [backup-simplify]: Simplify PI into PI 2.683 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.683 * [taylor]: Taking taylor expansion of a in a 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 1 into 1 2.683 * [backup-simplify]: Simplify (* 1 1) into 1 2.683 * [backup-simplify]: Simplify (/ PI 1) into PI 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * * * [progress]: simplifying candidates 2.692 * [simplify]: Simplifying: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (log PI) (log 2.0)) (- (log 1.0) (log (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log PI) (log 2.0)) (log (/ 1.0 (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ PI 2.0)) (- (log 1.0) (log (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ PI 2.0)) (log (/ 1.0 (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (/ (* (* 1.0 1.0) 1.0) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (/ (* (* 1.0 1.0) 1.0) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (cbrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))))) (cbrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* PI 1.0) (- (* 1.0 b) (* a 1.0))) (* (* 2.0 (- (* b b) (* a a))) (* a b)) (* (* PI 1.0) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (* 2.0 (- (* b b) (* a a))) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b))))) (* (* PI 1.0) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (* 2.0 (- (* b b) (* a a))) 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2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ 1 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) 1.0) (* PI (/ 1.0 (- (* b b) (* a a)))) 0 0 0 (- (pow b 2) (pow a 2)) (- (pow b 2) (pow a 2)) (- (pow b 2) (pow a 2)) 0 0 0 0 0 0 2.696 * * [simplify]: iteration 0: 258 enodes 2.782 * * [simplify]: iteration 1: 873 enodes 3.070 * * [simplify]: iteration complete: 5001 enodes 3.071 * * [simplify]: Extracting #0: cost 146 inf + 0 3.076 * * [simplify]: Extracting #1: cost 1481 inf + 44 3.087 * * [simplify]: Extracting #2: cost 2280 inf + 2433 3.103 * * [simplify]: Extracting #3: cost 1708 inf + 82155 3.186 * * [simplify]: Extracting #4: cost 673 inf + 352630 3.326 * * [simplify]: Extracting #5: cost 58 inf + 578648 3.484 * * [simplify]: Extracting #6: cost 2 inf + 598685 3.649 * * [simplify]: Extracting #7: cost 0 inf + 598913 3.821 * [simplify]: Simplified to: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (- (/ 1.0 a) (/ 1.0 b)) (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 (- (* b 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1.0 (- (* b b) (* a a)))) (/ (* (/ 1.0 a) (/ (* PI 1.0) (- (* b b) (* a a)))) 2.0) (* (* (/ (- 1.0) b) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (/ (* (/ 1.0 a) (/ (* PI 1.0) (- (* b b) (* a a)))) 2.0) (* (* (/ (- 1.0) b) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (* (* (/ 1.0 (- (* b b) (* a a))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b))))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (sqrt (- (/ 1.0 a) (/ 1.0 b))))) (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0) (* (+ (sqrt (/ 1.0 b)) (sqrt (/ 1.0 a))) (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0)) (* (* (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (/ 1.0 (- (* b b) (* a a)))) (/ PI 2.0)) (* (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0) (+ (sqrt (/ 1.0 b)) (/ (sqrt 1.0) (sqrt a)))) (* (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0)) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (cbrt 1.0) (cbrt 1.0))) (* (/ 1.0 (- (* b b) (* a a))) (* (/ PI 2.0) (sqrt 1.0))) (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0) (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) 1.0)) (* (/ 1.0 (+ a b)) (/ (- (/ 1.0 a) (/ 1.0 b)) (- b a))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (- (* 1.0 b) (* 1.0 a)))) (* (* (- (* (/ 1.0 a) (* (/ 1.0 a) (/ 1.0 a))) (* (/ 1.0 b) (* (/ 1.0 b) (/ 1.0 b)))) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0) (* (+ (/ 1.0 b) (/ 1.0 a)) (- (/ 1.0 a) (/ 1.0 b)))) (* (* 1.0 PI) (- (/ 1.0 a) (/ 1.0 b))) (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ PI 2.0)) (* (/ (* PI 1.0) (- (* b b) (* a a))) (- (/ 1.0 a) (/ 1.0 b))) (exp (- (* b b) (* a a))) (log (- (* b b) (* a a))) (exp (- (* b b) (* a a))) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))) (cbrt (- (* b b) (* a a))) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a))) (sqrt (- (* b b) (* a a))) (sqrt (- (* b b) (* a a))) (* (+ (* (* b b) b) (* a (* a a))) (- (* (* b b) b) (* a (* a a)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* b b) (* a a)))) (* (- a) a) (* (+ (* b b) (* a a)) (- (* b b) (* a a))) (+ (* a a) (* b b)) (+ a b) (- b a) (* (- a) a) (log (/ 1.0 (- (* b b) (* a a)))) (log (/ 1.0 (- (* b b) (* a a)))) (exp (/ 1.0 (- (* b b) (* a a)))) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 (- (* b b) (* a a)))) (* (cbrt (/ 1.0 (- (* b b) (* a a)))) (cbrt (/ 1.0 (- (* b b) (* a a))))) (cbrt (/ 1.0 (- (* b b) (* a a)))) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a))))) (sqrt (/ 1.0 (- (* b b) (* a a)))) (sqrt (/ 1.0 (- (* b b) (* a a)))) (- 1.0) (* (- (+ a b)) (- b a)) (* (/ (cbrt 1.0) (cbrt (- (* b b) (* a a)))) (/ (cbrt 1.0) (cbrt (- (* b b) (* a a))))) (/ (cbrt 1.0) (cbrt (- (* b b) (* a a)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- (* b b) (* a a)))) (/ (cbrt 1.0) (sqrt (- (* b b) (* a a)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (- (* b b) (* a a))) (/ (* (cbrt 1.0) (cbrt 1.0)) (+ a b)) (/ (cbrt 1.0) (- b a)) (/ (sqrt 1.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (sqrt 1.0) (cbrt (- (* b b) (* a a)))) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (sqrt 1.0) (/ (sqrt 1.0) (- (* b b) (* a a))) (/ (sqrt 1.0) (+ a b)) (/ (sqrt 1.0) (- b a)) (/ 1 (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ 1.0 (cbrt (- (* b b) (* a a)))) (/ 1 (sqrt (- (* b b) (* a a)))) (/ 1.0 (sqrt (- (* b b) (* a a)))) 1 (/ 1.0 (- (* b b) (* a a))) (/ 1 (+ a b)) (/ 1.0 (- b a)) (/ 1 (- (* b b) (* a a))) (/ (- (* b b) (* a a)) 1.0) (/ (/ 1.0 (cbrt (- (* b b) (* a a)))) (cbrt (- (* b b) (* a a)))) (/ 1.0 (sqrt (- (* b b) (* a a)))) 1.0 (/ 1.0 (+ a b)) (/ (- (* b b) (* a a)) (cbrt 1.0)) (/ (- (* b b) (* a a)) (sqrt 1.0)) (/ (- (* b b) (* a a)) 1.0) (/ 1.0 (* (+ (* (* b b) b) (* a (* a a))) (- (* (* b b) b) (* a (* a a))))) (/ 1.0 (* (+ (* b b) (* a a)) (- (* b b) (* a a)))) (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0) (log (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0)) (log (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0)) (log (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0)) (log (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0)) (log (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0)) (exp (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0)) (* (* (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a))))) (/ 1.0 (- (* b b) (* a a)))) (* (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a))))) (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0))) (* (* (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a))))) (/ 1.0 (- (* b b) (* a a)))) (* (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a))))) (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0))) (* (cbrt (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0)) (cbrt (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0))) (cbrt (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0)) (* (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (sqrt (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0)) (sqrt (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0)) (* 1.0 PI) (* 2.0 (- (* b b) (* a a))) (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (/ (* (sqrt (/ PI 2.0)) (sqrt 1.0)) (sqrt (- (* b b) (* a a)))) (/ (* (sqrt (/ PI 2.0)) (sqrt 1.0)) (sqrt (- (* b b) (* a a)))) (/ (* (sqrt (/ 1.0 (- (* b b) (* a a)))) (sqrt PI)) (sqrt 2.0)) (/ (* (sqrt (/ 1.0 (- (* b b) (* a a)))) (sqrt PI)) (sqrt 2.0)) (* (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (/ (sqrt PI) (sqrt 2.0))) (* (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (/ (sqrt PI) (sqrt 2.0))) (* (* (cbrt (/ 1.0 (- (* b b) (* a a)))) (cbrt (/ 1.0 (- (* b b) (* a a))))) (/ PI 2.0)) (* (/ PI 2.0) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (* (/ PI 2.0) (/ (cbrt 1.0) (cbrt (- (* b b) (* a a))))) (/ (cbrt 1.0) (cbrt (- (* b b) (* a a))))) (/ (* (/ PI 2.0) (cbrt 1.0)) (/ (sqrt (- (* b b) (* a a))) (cbrt 1.0))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) PI) 2.0) (/ (/ (* PI (* (cbrt 1.0) (cbrt 1.0))) (+ a b)) 2.0) (/ (* (/ PI 2.0) (sqrt 1.0)) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (* (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (/ PI 2.0)) (* (/ PI 2.0) (sqrt 1.0)) (* (/ (sqrt 1.0) (+ a b)) (/ PI 2.0)) (/ (/ PI 2.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (/ PI 2.0) (sqrt (- (* b b) (* a a)))) (/ PI 2.0) (/ (/ PI 2.0) (+ a b)) (/ PI 2.0) (* (/ PI 2.0) 1.0) (/ (* (/ PI 2.0) 1.0) (* (+ (* (* b b) b) (* a (* a a))) (- (* (* b b) b) (* a (* a a))))) (/ (* (/ PI 2.0) 1.0) (* (+ (* b b) (* a a)) (- (* b b) (* a a)))) (* (/ 1.0 (- (* b b) (* a a))) (cbrt (/ PI 2.0))) (/ (* (sqrt (/ PI 2.0)) 1.0) (- (* b b) (* a a))) (/ (/ (* (cbrt PI) 1.0) (- (* b b) (* a a))) (cbrt 2.0)) (* (/ (/ (cbrt PI) (sqrt 2.0)) (+ a b)) (/ 1.0 (- b a))) (/ (* (/ 1.0 (- (* b b) (* a a))) (cbrt PI)) 2.0) (* (/ 1.0 (- (* b b) (* a a))) (/ (sqrt PI) (cbrt 2.0))) (/ (* 1.0 (/ (sqrt PI) (sqrt 2.0))) (- (* b b) (* a a))) (/ (/ (* (sqrt PI) 1.0) 2.0) (- (* b b) (* a a))) (/ (* (/ PI (cbrt 2.0)) 1.0) (- (* b b) (* a a))) (* (/ PI (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0) (/ (/ (* PI 1.0) (- (* b b) (* a a))) 2.0) (/ (/ 1.0 (- (* b b) (* a a))) 2.0) (* (/ PI 2.0) 1.0) (/ (* PI 1.0) (- (* b b) (* a a))) 0 0 0 (- (* b b) (* a a)) (- (* b b) (* a a)) (- (* b b) (* a a)) 0 0 0 0 0 0 3.838 * * * [progress]: adding candidates to table 4.753 * * [progress]: iteration 2 / 4 4.753 * * * [progress]: picking best candidate 4.793 * * * * [pick]: Picked # 4.793 * * * [progress]: localizing error 4.842 * * * [progress]: generating rewritten candidates 4.842 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.004 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.021 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 5.110 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 5.136 * * * [progress]: generating series expansions 5.136 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.137 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) 5.137 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) in (a b) around 0 5.137 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) in b 5.137 * [taylor]: Taking taylor expansion of 0.5 in b 5.137 * [backup-simplify]: Simplify 0.5 into 0.5 5.137 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a))) in b 5.137 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 5.137 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 5.137 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 5.137 * [taylor]: Taking taylor expansion of 1.0 in b 5.137 * [backup-simplify]: Simplify 1.0 into 1.0 5.137 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.137 * [taylor]: Taking taylor expansion of a in b 5.137 * [backup-simplify]: Simplify a into a 5.137 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.137 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 5.137 * [taylor]: Taking taylor expansion of 1.0 in b 5.137 * [backup-simplify]: Simplify 1.0 into 1.0 5.137 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.137 * [taylor]: Taking taylor expansion of b in b 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify 1 into 1 5.138 * [backup-simplify]: Simplify (/ 1 1) into 1 5.138 * [taylor]: Taking taylor expansion of PI in b 5.138 * [backup-simplify]: Simplify PI into PI 5.138 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 5.138 * [taylor]: Taking taylor expansion of (+ a b) in b 5.138 * [taylor]: Taking taylor expansion of a in b 5.138 * [backup-simplify]: Simplify a into a 5.138 * [taylor]: Taking taylor expansion of b in b 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify 1 into 1 5.138 * [taylor]: Taking taylor expansion of (- b a) in b 5.138 * [taylor]: Taking taylor expansion of b in b 5.138 * [backup-simplify]: Simplify 0 into 0 5.138 * [backup-simplify]: Simplify 1 into 1 5.138 * [taylor]: Taking taylor expansion of a in b 5.138 * [backup-simplify]: Simplify a into a 5.138 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 5.139 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.139 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 5.140 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 5.140 * [backup-simplify]: Simplify (+ a 0) into a 5.140 * [backup-simplify]: Simplify (- a) into (- a) 5.140 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 5.140 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 5.140 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 5.140 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) in a 5.140 * [taylor]: Taking taylor expansion of 0.5 in a 5.140 * [backup-simplify]: Simplify 0.5 into 0.5 5.140 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a))) in a 5.141 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 5.141 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 5.141 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 5.141 * [taylor]: Taking taylor expansion of 1.0 in a 5.141 * [backup-simplify]: Simplify 1.0 into 1.0 5.141 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.141 * [taylor]: Taking taylor expansion of a in a 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify 1 into 1 5.141 * [backup-simplify]: Simplify (/ 1 1) into 1 5.141 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 5.141 * [taylor]: Taking taylor expansion of 1.0 in a 5.141 * [backup-simplify]: Simplify 1.0 into 1.0 5.141 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.141 * [taylor]: Taking taylor expansion of b in a 5.141 * [backup-simplify]: Simplify b into b 5.141 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.141 * [taylor]: Taking taylor expansion of PI in a 5.141 * [backup-simplify]: Simplify PI into PI 5.141 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 5.141 * [taylor]: Taking taylor expansion of (+ a b) in a 5.141 * [taylor]: Taking taylor expansion of a in a 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify 1 into 1 5.141 * [taylor]: Taking taylor expansion of b in a 5.141 * [backup-simplify]: Simplify b into b 5.141 * [taylor]: Taking taylor expansion of (- b a) in a 5.141 * [taylor]: Taking taylor expansion of b in a 5.141 * [backup-simplify]: Simplify b into b 5.141 * [taylor]: Taking taylor expansion of a in a 5.141 * [backup-simplify]: Simplify 0 into 0 5.141 * [backup-simplify]: Simplify 1 into 1 5.142 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 5.142 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.142 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 5.142 * [backup-simplify]: Simplify (+ 0 b) into b 5.142 * [backup-simplify]: Simplify (- 0) into 0 5.142 * [backup-simplify]: Simplify (+ b 0) into b 5.142 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.143 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 5.143 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) in a 5.143 * [taylor]: Taking taylor expansion of 0.5 in a 5.143 * [backup-simplify]: Simplify 0.5 into 0.5 5.143 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a))) in a 5.143 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 5.143 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 5.143 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 5.143 * [taylor]: Taking taylor expansion of 1.0 in a 5.143 * [backup-simplify]: Simplify 1.0 into 1.0 5.143 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.143 * [taylor]: Taking taylor expansion of a in a 5.143 * [backup-simplify]: Simplify 0 into 0 5.143 * [backup-simplify]: Simplify 1 into 1 5.143 * [backup-simplify]: Simplify (/ 1 1) into 1 5.143 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 5.143 * [taylor]: Taking taylor expansion of 1.0 in a 5.143 * [backup-simplify]: Simplify 1.0 into 1.0 5.143 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.143 * [taylor]: Taking taylor expansion of b in a 5.143 * [backup-simplify]: Simplify b into b 5.144 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.144 * [taylor]: Taking taylor expansion of PI in a 5.144 * [backup-simplify]: Simplify PI into PI 5.144 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 5.144 * [taylor]: Taking taylor expansion of (+ a b) in a 5.144 * [taylor]: Taking taylor expansion of a in a 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [taylor]: Taking taylor expansion of b in a 5.144 * [backup-simplify]: Simplify b into b 5.144 * [taylor]: Taking taylor expansion of (- b a) in a 5.144 * [taylor]: Taking taylor expansion of b in a 5.144 * [backup-simplify]: Simplify b into b 5.144 * [taylor]: Taking taylor expansion of a in a 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 5.144 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.145 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 5.145 * [backup-simplify]: Simplify (+ 0 b) into b 5.145 * [backup-simplify]: Simplify (- 0) into 0 5.145 * [backup-simplify]: Simplify (+ b 0) into b 5.145 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.145 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 5.145 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow b 2)))) into (* 0.5 (/ PI (pow b 2))) 5.145 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 5.146 * [taylor]: Taking taylor expansion of 0.5 in b 5.146 * [backup-simplify]: Simplify 0.5 into 0.5 5.146 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.146 * [taylor]: Taking taylor expansion of PI in b 5.146 * [backup-simplify]: Simplify PI into PI 5.146 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.146 * [taylor]: Taking taylor expansion of b in b 5.146 * [backup-simplify]: Simplify 0 into 0 5.146 * [backup-simplify]: Simplify 1 into 1 5.146 * [backup-simplify]: Simplify (* 1 1) into 1 5.146 * [backup-simplify]: Simplify (/ PI 1) into PI 5.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.148 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 5.148 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.148 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 5.149 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 5.149 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 5.149 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 5.149 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 5.149 * [backup-simplify]: Simplify (- 1) into -1 5.149 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.150 * [backup-simplify]: Simplify (+ 1 0) into 1 5.150 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 5.150 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ PI b))) (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1.0 (/ PI (pow b 3)))) 5.151 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2))))) into (- (* 0.5 (/ PI (pow b 3)))) 5.151 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 3)))) in b 5.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 5.151 * [taylor]: Taking taylor expansion of 0.5 in b 5.151 * [backup-simplify]: Simplify 0.5 into 0.5 5.151 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 5.151 * [taylor]: Taking taylor expansion of PI in b 5.151 * [backup-simplify]: Simplify PI into PI 5.151 * [taylor]: Taking taylor expansion of (pow b 3) in b 5.151 * [taylor]: Taking taylor expansion of b in b 5.151 * [backup-simplify]: Simplify 0 into 0 5.151 * [backup-simplify]: Simplify 1 into 1 5.151 * [backup-simplify]: Simplify (* 1 1) into 1 5.151 * [backup-simplify]: Simplify (* 1 1) into 1 5.151 * [backup-simplify]: Simplify (/ PI 1) into PI 5.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.155 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.155 * [backup-simplify]: Simplify (- 0) into 0 5.155 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.157 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.157 * [backup-simplify]: Simplify 0 into 0 5.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 5.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.159 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 5.159 * [backup-simplify]: Simplify (- 0) into 0 5.160 * [backup-simplify]: Simplify (+ 0 0) into 0 5.161 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (* 0 PI))) into 0 5.161 * [backup-simplify]: Simplify (- 0) into 0 5.161 * [backup-simplify]: Simplify (+ 0 0) into 0 5.162 * [backup-simplify]: Simplify (+ 0 0) into 0 5.162 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 5.164 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1.0 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1.0 (/ PI (pow b 4))) 5.165 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow b 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2)))))) into (* 0.5 (/ PI (pow b 4))) 5.165 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 5.165 * [taylor]: Taking taylor expansion of 0.5 in b 5.165 * [backup-simplify]: Simplify 0.5 into 0.5 5.165 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 5.165 * [taylor]: Taking taylor expansion of PI in b 5.165 * [backup-simplify]: Simplify PI into PI 5.165 * [taylor]: Taking taylor expansion of (pow b 4) in b 5.165 * [taylor]: Taking taylor expansion of b in b 5.165 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify 1 into 1 5.165 * [backup-simplify]: Simplify (* 1 1) into 1 5.166 * [backup-simplify]: Simplify (* 1 1) into 1 5.166 * [backup-simplify]: Simplify (/ PI 1) into PI 5.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.176 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.176 * [backup-simplify]: Simplify 0 into 0 5.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.180 * [backup-simplify]: Simplify (- 0) into 0 5.180 * [backup-simplify]: Simplify 0 into 0 5.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.182 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.182 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify 0 into 0 5.182 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) (/ 1.0 (- (/ 1 b) (/ 1 a)))) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 5.182 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 5.182 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 5.183 * [taylor]: Taking taylor expansion of 0.5 in b 5.183 * [backup-simplify]: Simplify 0.5 into 0.5 5.183 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 5.183 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 a) (* 1.0 b))) in b 5.183 * [taylor]: Taking taylor expansion of PI in b 5.183 * [backup-simplify]: Simplify PI into PI 5.183 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 5.183 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 5.183 * [taylor]: Taking taylor expansion of 1.0 in b 5.183 * [backup-simplify]: Simplify 1.0 into 1.0 5.183 * [taylor]: Taking taylor expansion of a in b 5.183 * [backup-simplify]: Simplify a into a 5.183 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 5.183 * [taylor]: Taking taylor expansion of 1.0 in b 5.183 * [backup-simplify]: Simplify 1.0 into 1.0 5.183 * [taylor]: Taking taylor expansion of b in b 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.183 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 5.183 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 5.183 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.183 * [taylor]: Taking taylor expansion of a in b 5.183 * [backup-simplify]: Simplify a into a 5.183 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.183 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.183 * [taylor]: Taking taylor expansion of b in b 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.183 * [backup-simplify]: Simplify (/ 1 1) into 1 5.183 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 5.183 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.183 * [taylor]: Taking taylor expansion of b in b 5.183 * [backup-simplify]: Simplify 0 into 0 5.183 * [backup-simplify]: Simplify 1 into 1 5.184 * [backup-simplify]: Simplify (/ 1 1) into 1 5.184 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.184 * [taylor]: Taking taylor expansion of a in b 5.184 * [backup-simplify]: Simplify a into a 5.184 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.184 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 5.184 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.184 * [backup-simplify]: Simplify (- 0) into 0 5.184 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 5.185 * [backup-simplify]: Simplify (* PI (* 1.0 a)) into (* 1.0 (* a PI)) 5.185 * [backup-simplify]: Simplify (+ 0 1) into 1 5.185 * [backup-simplify]: Simplify (+ 1 0) into 1 5.186 * [backup-simplify]: Simplify (* 1 1) into 1 5.186 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 5.186 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 5.186 * [taylor]: Taking taylor expansion of 0.5 in a 5.186 * [backup-simplify]: Simplify 0.5 into 0.5 5.186 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 5.186 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 a) (* 1.0 b))) in a 5.186 * [taylor]: Taking taylor expansion of PI in a 5.186 * [backup-simplify]: Simplify PI into PI 5.186 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 5.186 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 5.186 * [taylor]: Taking taylor expansion of 1.0 in a 5.186 * [backup-simplify]: Simplify 1.0 into 1.0 5.186 * [taylor]: Taking taylor expansion of a in a 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 1 into 1 5.186 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 5.186 * [taylor]: Taking taylor expansion of 1.0 in a 5.186 * [backup-simplify]: Simplify 1.0 into 1.0 5.186 * [taylor]: Taking taylor expansion of b in a 5.186 * [backup-simplify]: Simplify b into b 5.186 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 5.186 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.186 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.186 * [taylor]: Taking taylor expansion of a in a 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 1 into 1 5.186 * [backup-simplify]: Simplify (/ 1 1) into 1 5.186 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.187 * [taylor]: Taking taylor expansion of b in a 5.187 * [backup-simplify]: Simplify b into b 5.187 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.187 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 5.187 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.187 * [taylor]: Taking taylor expansion of b in a 5.187 * [backup-simplify]: Simplify b into b 5.187 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.187 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.187 * [taylor]: Taking taylor expansion of a in a 5.187 * [backup-simplify]: Simplify 0 into 0 5.187 * [backup-simplify]: Simplify 1 into 1 5.187 * [backup-simplify]: Simplify (/ 1 1) into 1 5.187 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.187 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 5.187 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 5.188 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 5.188 * [backup-simplify]: Simplify (* PI (- (* 1.0 b))) into (* -1.0 (* b PI)) 5.188 * [backup-simplify]: Simplify (+ 1 0) into 1 5.188 * [backup-simplify]: Simplify (- 1) into -1 5.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.189 * [backup-simplify]: Simplify (* 1 -1) into -1 5.189 * [backup-simplify]: Simplify (/ (* -1.0 (* b PI)) -1) into (* 1.0 (* PI b)) 5.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 5.189 * [taylor]: Taking taylor expansion of 0.5 in a 5.189 * [backup-simplify]: Simplify 0.5 into 0.5 5.189 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 5.189 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 a) (* 1.0 b))) in a 5.189 * [taylor]: Taking taylor expansion of PI in a 5.189 * [backup-simplify]: Simplify PI into PI 5.189 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 5.189 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 5.189 * [taylor]: Taking taylor expansion of 1.0 in a 5.189 * [backup-simplify]: Simplify 1.0 into 1.0 5.189 * [taylor]: Taking taylor expansion of a in a 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 5.189 * [taylor]: Taking taylor expansion of 1.0 in a 5.189 * [backup-simplify]: Simplify 1.0 into 1.0 5.189 * [taylor]: Taking taylor expansion of b in a 5.189 * [backup-simplify]: Simplify b into b 5.189 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 5.189 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.189 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.189 * [taylor]: Taking taylor expansion of a in a 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [backup-simplify]: Simplify (/ 1 1) into 1 5.189 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.189 * [taylor]: Taking taylor expansion of b in a 5.189 * [backup-simplify]: Simplify b into b 5.189 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.189 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 5.189 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.190 * [taylor]: Taking taylor expansion of b in a 5.190 * [backup-simplify]: Simplify b into b 5.190 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.190 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.190 * [taylor]: Taking taylor expansion of a in a 5.190 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify 1 into 1 5.190 * [backup-simplify]: Simplify (/ 1 1) into 1 5.190 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.190 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 5.190 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 5.190 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 5.190 * [backup-simplify]: Simplify (* PI (- (* 1.0 b))) into (* -1.0 (* b PI)) 5.191 * [backup-simplify]: Simplify (+ 1 0) into 1 5.191 * [backup-simplify]: Simplify (- 1) into -1 5.191 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.191 * [backup-simplify]: Simplify (* 1 -1) into -1 5.191 * [backup-simplify]: Simplify (/ (* -1.0 (* b PI)) -1) into (* 1.0 (* PI b)) 5.192 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* PI b))) into (* 0.5 (* b PI)) 5.192 * [taylor]: Taking taylor expansion of (* 0.5 (* b PI)) in b 5.192 * [taylor]: Taking taylor expansion of 0.5 in b 5.192 * [backup-simplify]: Simplify 0.5 into 0.5 5.192 * [taylor]: Taking taylor expansion of (* b PI) in b 5.192 * [taylor]: Taking taylor expansion of b in b 5.192 * [backup-simplify]: Simplify 0 into 0 5.192 * [backup-simplify]: Simplify 1 into 1 5.192 * [taylor]: Taking taylor expansion of PI in b 5.192 * [backup-simplify]: Simplify PI into PI 5.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.193 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.193 * [backup-simplify]: Simplify (* 0 PI) into 0 5.194 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 5.194 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.195 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 5.195 * [backup-simplify]: Simplify (- 0) into 0 5.196 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.196 * [backup-simplify]: Simplify (+ (* PI 1.0) (* 0 (- (* 1.0 b)))) into (* 1.0 PI) 5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.197 * [backup-simplify]: Simplify (- 0) into 0 5.197 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.197 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 5.197 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 5.198 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* PI b)) (/ 0 -1)))) into (- (* 1.0 PI)) 5.203 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b)))) into (- (* 0.5 PI)) 5.203 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in b 5.203 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 5.204 * [taylor]: Taking taylor expansion of 0.5 in b 5.204 * [backup-simplify]: Simplify 0.5 into 0.5 5.204 * [taylor]: Taking taylor expansion of PI in b 5.204 * [backup-simplify]: Simplify PI into PI 5.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.205 * [backup-simplify]: Simplify (- 0) into 0 5.205 * [backup-simplify]: Simplify 0 into 0 5.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.206 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.206 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.207 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 5.208 * [backup-simplify]: Simplify (- 0) into 0 5.208 * [backup-simplify]: Simplify (+ 0 0) into 0 5.208 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1.0) (* 0 (- (* 1.0 b))))) into 0 5.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.209 * [backup-simplify]: Simplify (- 0) into 0 5.210 * [backup-simplify]: Simplify (+ 0 0) into 0 5.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.210 * [backup-simplify]: Simplify (+ 0 0) into 0 5.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 5.212 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* PI b)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI b)) 5.213 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b))))) into (* 0.5 (/ PI b)) 5.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 5.213 * [taylor]: Taking taylor expansion of 0.5 in b 5.213 * [backup-simplify]: Simplify 0.5 into 0.5 5.213 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.213 * [taylor]: Taking taylor expansion of PI in b 5.213 * [backup-simplify]: Simplify PI into PI 5.213 * [taylor]: Taking taylor expansion of b in b 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.213 * [backup-simplify]: Simplify (/ PI 1) into PI 5.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.215 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.215 * [backup-simplify]: Simplify 0 into 0 5.216 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.216 * [backup-simplify]: Simplify (- 0) into 0 5.216 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 5.218 * [backup-simplify]: Simplify 0 into 0 5.218 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 5.219 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 5.219 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 5.219 * [taylor]: Taking taylor expansion of -0.5 in b 5.219 * [backup-simplify]: Simplify -0.5 into -0.5 5.219 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 5.219 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 5.219 * [taylor]: Taking taylor expansion of PI in b 5.219 * [backup-simplify]: Simplify PI into PI 5.219 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 5.219 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 5.219 * [taylor]: Taking taylor expansion of 1.0 in b 5.219 * [backup-simplify]: Simplify 1.0 into 1.0 5.219 * [taylor]: Taking taylor expansion of b in b 5.219 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify 1 into 1 5.219 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 5.219 * [taylor]: Taking taylor expansion of 1.0 in b 5.219 * [backup-simplify]: Simplify 1.0 into 1.0 5.219 * [taylor]: Taking taylor expansion of a in b 5.219 * [backup-simplify]: Simplify a into a 5.219 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 5.219 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 5.219 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.219 * [taylor]: Taking taylor expansion of a in b 5.219 * [backup-simplify]: Simplify a into a 5.219 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.219 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.219 * [taylor]: Taking taylor expansion of b in b 5.219 * [backup-simplify]: Simplify 0 into 0 5.219 * [backup-simplify]: Simplify 1 into 1 5.219 * [backup-simplify]: Simplify (/ 1 1) into 1 5.219 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 5.219 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.219 * [taylor]: Taking taylor expansion of a in b 5.219 * [backup-simplify]: Simplify a into a 5.219 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.219 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.220 * [taylor]: Taking taylor expansion of b in b 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify 1 into 1 5.220 * [backup-simplify]: Simplify (/ 1 1) into 1 5.220 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.220 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 5.220 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 5.220 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 5.220 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 5.221 * [backup-simplify]: Simplify (+ 0 1) into 1 5.221 * [backup-simplify]: Simplify (- 1) into -1 5.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.221 * [backup-simplify]: Simplify (* 1 -1) into -1 5.221 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 5.221 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 5.221 * [taylor]: Taking taylor expansion of -0.5 in a 5.221 * [backup-simplify]: Simplify -0.5 into -0.5 5.221 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 5.221 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 5.221 * [taylor]: Taking taylor expansion of PI in a 5.221 * [backup-simplify]: Simplify PI into PI 5.221 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 5.222 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 5.222 * [taylor]: Taking taylor expansion of 1.0 in a 5.222 * [backup-simplify]: Simplify 1.0 into 1.0 5.222 * [taylor]: Taking taylor expansion of b in a 5.222 * [backup-simplify]: Simplify b into b 5.222 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 5.222 * [taylor]: Taking taylor expansion of 1.0 in a 5.222 * [backup-simplify]: Simplify 1.0 into 1.0 5.222 * [taylor]: Taking taylor expansion of a in a 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 5.222 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.222 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.222 * [taylor]: Taking taylor expansion of a in a 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (/ 1 1) into 1 5.222 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.222 * [taylor]: Taking taylor expansion of b in a 5.222 * [backup-simplify]: Simplify b into b 5.222 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.222 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.222 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.222 * [taylor]: Taking taylor expansion of a in a 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify 1 into 1 5.222 * [backup-simplify]: Simplify (/ 1 1) into 1 5.223 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.223 * [taylor]: Taking taylor expansion of b in a 5.223 * [backup-simplify]: Simplify b into b 5.223 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.223 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 5.223 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.223 * [backup-simplify]: Simplify (- 0) into 0 5.223 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 5.223 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 5.224 * [backup-simplify]: Simplify (+ 1 0) into 1 5.224 * [backup-simplify]: Simplify (+ 1 0) into 1 5.224 * [backup-simplify]: Simplify (* 1 1) into 1 5.224 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 5.224 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 5.224 * [taylor]: Taking taylor expansion of -0.5 in a 5.224 * [backup-simplify]: Simplify -0.5 into -0.5 5.224 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 5.224 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 5.224 * [taylor]: Taking taylor expansion of PI in a 5.224 * [backup-simplify]: Simplify PI into PI 5.224 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 5.224 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 5.224 * [taylor]: Taking taylor expansion of 1.0 in a 5.224 * [backup-simplify]: Simplify 1.0 into 1.0 5.224 * [taylor]: Taking taylor expansion of b in a 5.224 * [backup-simplify]: Simplify b into b 5.224 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 5.224 * [taylor]: Taking taylor expansion of 1.0 in a 5.224 * [backup-simplify]: Simplify 1.0 into 1.0 5.224 * [taylor]: Taking taylor expansion of a in a 5.224 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify 1 into 1 5.224 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 5.224 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.224 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.224 * [taylor]: Taking taylor expansion of a in a 5.224 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify 1 into 1 5.225 * [backup-simplify]: Simplify (/ 1 1) into 1 5.225 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.225 * [taylor]: Taking taylor expansion of b in a 5.225 * [backup-simplify]: Simplify b into b 5.225 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.225 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.225 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.225 * [taylor]: Taking taylor expansion of a in a 5.225 * [backup-simplify]: Simplify 0 into 0 5.225 * [backup-simplify]: Simplify 1 into 1 5.225 * [backup-simplify]: Simplify (/ 1 1) into 1 5.225 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.225 * [taylor]: Taking taylor expansion of b in a 5.225 * [backup-simplify]: Simplify b into b 5.225 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.225 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 5.226 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.226 * [backup-simplify]: Simplify (- 0) into 0 5.226 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 5.226 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 5.226 * [backup-simplify]: Simplify (+ 1 0) into 1 5.226 * [backup-simplify]: Simplify (+ 1 0) into 1 5.227 * [backup-simplify]: Simplify (* 1 1) into 1 5.227 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 5.227 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* PI b))) into (* -0.5 (* b PI)) 5.227 * [taylor]: Taking taylor expansion of (* -0.5 (* b PI)) in b 5.227 * [taylor]: Taking taylor expansion of -0.5 in b 5.227 * [backup-simplify]: Simplify -0.5 into -0.5 5.227 * [taylor]: Taking taylor expansion of (* b PI) in b 5.227 * [taylor]: Taking taylor expansion of b in b 5.227 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify 1 into 1 5.227 * [taylor]: Taking taylor expansion of PI in b 5.227 * [backup-simplify]: Simplify PI into PI 5.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 5.228 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 5.229 * [backup-simplify]: Simplify (* 0 PI) into 0 5.229 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 5.229 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 5.231 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 5.231 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 5.232 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 5.233 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 (* 1.0 b))) into (- (* 1.0 PI)) 5.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.234 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 5.234 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 5.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.235 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 5.236 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 5.239 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)))) into (- (* 1.0 PI)) 5.241 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b)))) into (* 0.5 PI) 5.241 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 5.241 * [taylor]: Taking taylor expansion of 0.5 in b 5.241 * [backup-simplify]: Simplify 0.5 into 0.5 5.241 * [taylor]: Taking taylor expansion of PI in b 5.241 * [backup-simplify]: Simplify PI into PI 5.242 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.242 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 5.245 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 5.245 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 5.247 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 5.247 * [backup-simplify]: Simplify (- 0) into 0 5.248 * [backup-simplify]: Simplify (+ 0 0) into 0 5.249 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b)))) into 0 5.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.250 * [backup-simplify]: Simplify (- 0) into 0 5.251 * [backup-simplify]: Simplify (+ 0 0) into 0 5.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.252 * [backup-simplify]: Simplify (+ 0 0) into 0 5.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 5.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI b)) 5.256 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b))))) into (- (* 0.5 (/ PI b))) 5.256 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 5.256 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 5.256 * [taylor]: Taking taylor expansion of 0.5 in b 5.256 * [backup-simplify]: Simplify 0.5 into 0.5 5.256 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.256 * [taylor]: Taking taylor expansion of PI in b 5.256 * [backup-simplify]: Simplify PI into PI 5.256 * [taylor]: Taking taylor expansion of b in b 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify 1 into 1 5.257 * [backup-simplify]: Simplify (/ PI 1) into PI 5.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.261 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.261 * [backup-simplify]: Simplify (- 0) into 0 5.261 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.262 * [backup-simplify]: Simplify 0 into 0 5.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.265 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.266 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ a b)) into (* 0.5 (/ PI (+ a b))) 5.266 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (a b) around 0 5.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 5.266 * [taylor]: Taking taylor expansion of 0.5 in b 5.266 * [backup-simplify]: Simplify 0.5 into 0.5 5.266 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 5.266 * [taylor]: Taking taylor expansion of PI in b 5.266 * [backup-simplify]: Simplify PI into PI 5.266 * [taylor]: Taking taylor expansion of (+ a b) in b 5.266 * [taylor]: Taking taylor expansion of a in b 5.266 * [backup-simplify]: Simplify a into a 5.266 * [taylor]: Taking taylor expansion of b in b 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 1 into 1 5.266 * [backup-simplify]: Simplify (+ a 0) into a 5.266 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 5.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 5.266 * [taylor]: Taking taylor expansion of 0.5 in a 5.266 * [backup-simplify]: Simplify 0.5 into 0.5 5.266 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 5.266 * [taylor]: Taking taylor expansion of PI in a 5.266 * [backup-simplify]: Simplify PI into PI 5.266 * [taylor]: Taking taylor expansion of (+ a b) in a 5.266 * [taylor]: Taking taylor expansion of a in a 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 1 into 1 5.266 * [taylor]: Taking taylor expansion of b in a 5.266 * [backup-simplify]: Simplify b into b 5.266 * [backup-simplify]: Simplify (+ 0 b) into b 5.266 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 5.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 5.266 * [taylor]: Taking taylor expansion of 0.5 in a 5.267 * [backup-simplify]: Simplify 0.5 into 0.5 5.267 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 5.267 * [taylor]: Taking taylor expansion of PI in a 5.267 * [backup-simplify]: Simplify PI into PI 5.267 * [taylor]: Taking taylor expansion of (+ a b) in a 5.267 * [taylor]: Taking taylor expansion of a in a 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [taylor]: Taking taylor expansion of b in a 5.267 * [backup-simplify]: Simplify b into b 5.267 * [backup-simplify]: Simplify (+ 0 b) into b 5.267 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 5.267 * [backup-simplify]: Simplify (* 0.5 (/ PI b)) into (* 0.5 (/ PI b)) 5.267 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 5.267 * [taylor]: Taking taylor expansion of 0.5 in b 5.267 * [backup-simplify]: Simplify 0.5 into 0.5 5.267 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.267 * [taylor]: Taking taylor expansion of PI in b 5.267 * [backup-simplify]: Simplify PI into PI 5.267 * [taylor]: Taking taylor expansion of b in b 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 1 into 1 5.267 * [backup-simplify]: Simplify (/ PI 1) into PI 5.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify (+ 1 0) into 1 5.269 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 5.269 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 0.5 (/ PI (pow b 2)))) 5.269 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 5.269 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 5.269 * [taylor]: Taking taylor expansion of 0.5 in b 5.269 * [backup-simplify]: Simplify 0.5 into 0.5 5.269 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.269 * [taylor]: Taking taylor expansion of PI in b 5.269 * [backup-simplify]: Simplify PI into PI 5.269 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.269 * [taylor]: Taking taylor expansion of b in b 5.269 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify 1 into 1 5.270 * [backup-simplify]: Simplify (* 1 1) into 1 5.270 * [backup-simplify]: Simplify (/ PI 1) into PI 5.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.272 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.273 * [backup-simplify]: Simplify (- 0) into 0 5.273 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.274 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify (+ 0 0) into 0 5.275 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 5.275 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 0.5 (/ PI (pow b 3))) 5.275 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 5.275 * [taylor]: Taking taylor expansion of 0.5 in b 5.275 * [backup-simplify]: Simplify 0.5 into 0.5 5.275 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 5.275 * [taylor]: Taking taylor expansion of PI in b 5.275 * [backup-simplify]: Simplify PI into PI 5.275 * [taylor]: Taking taylor expansion of (pow b 3) in b 5.275 * [taylor]: Taking taylor expansion of b in b 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 1 into 1 5.275 * [backup-simplify]: Simplify (* 1 1) into 1 5.275 * [backup-simplify]: Simplify (* 1 1) into 1 5.276 * [backup-simplify]: Simplify (/ PI 1) into PI 5.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.281 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.283 * [backup-simplify]: Simplify (- 0) into 0 5.283 * [backup-simplify]: Simplify 0 into 0 5.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.284 * [backup-simplify]: Simplify 0 into 0 5.284 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 5.285 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 5.285 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 5.285 * [taylor]: Taking taylor expansion of 0.5 in b 5.285 * [backup-simplify]: Simplify 0.5 into 0.5 5.285 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 5.285 * [taylor]: Taking taylor expansion of PI in b 5.285 * [backup-simplify]: Simplify PI into PI 5.285 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 5.285 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.285 * [taylor]: Taking taylor expansion of a in b 5.285 * [backup-simplify]: Simplify a into a 5.285 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.285 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.285 * [taylor]: Taking taylor expansion of b in b 5.285 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify 1 into 1 5.285 * [backup-simplify]: Simplify (/ 1 1) into 1 5.286 * [backup-simplify]: Simplify (+ 0 1) into 1 5.286 * [backup-simplify]: Simplify (/ PI 1) into PI 5.286 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 5.286 * [taylor]: Taking taylor expansion of 0.5 in a 5.286 * [backup-simplify]: Simplify 0.5 into 0.5 5.286 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 5.286 * [taylor]: Taking taylor expansion of PI in a 5.286 * [backup-simplify]: Simplify PI into PI 5.286 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.286 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.286 * [taylor]: Taking taylor expansion of a in a 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify (/ 1 1) into 1 5.286 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.286 * [taylor]: Taking taylor expansion of b in a 5.286 * [backup-simplify]: Simplify b into b 5.287 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.287 * [backup-simplify]: Simplify (+ 1 0) into 1 5.287 * [backup-simplify]: Simplify (/ PI 1) into PI 5.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 5.287 * [taylor]: Taking taylor expansion of 0.5 in a 5.287 * [backup-simplify]: Simplify 0.5 into 0.5 5.287 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 5.287 * [taylor]: Taking taylor expansion of PI in a 5.287 * [backup-simplify]: Simplify PI into PI 5.287 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.287 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.287 * [taylor]: Taking taylor expansion of a in a 5.287 * [backup-simplify]: Simplify 0 into 0 5.287 * [backup-simplify]: Simplify 1 into 1 5.287 * [backup-simplify]: Simplify (/ 1 1) into 1 5.288 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.288 * [taylor]: Taking taylor expansion of b in a 5.288 * [backup-simplify]: Simplify b into b 5.288 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.288 * [backup-simplify]: Simplify (+ 1 0) into 1 5.288 * [backup-simplify]: Simplify (/ PI 1) into PI 5.288 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 5.289 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 5.289 * [taylor]: Taking taylor expansion of 0.5 in b 5.289 * [backup-simplify]: Simplify 0.5 into 0.5 5.289 * [taylor]: Taking taylor expansion of PI in b 5.289 * [backup-simplify]: Simplify PI into PI 5.289 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 5.289 * [backup-simplify]: Simplify 0 into 0 5.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.290 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 5.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 5.290 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI b))) (* 0 PI)) into (- (* 0.5 (/ PI b))) 5.290 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 5.290 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 5.290 * [taylor]: Taking taylor expansion of 0.5 in b 5.290 * [backup-simplify]: Simplify 0.5 into 0.5 5.290 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.290 * [taylor]: Taking taylor expansion of PI in b 5.290 * [backup-simplify]: Simplify PI into PI 5.290 * [taylor]: Taking taylor expansion of b in b 5.291 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify 1 into 1 5.291 * [backup-simplify]: Simplify (/ PI 1) into PI 5.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.293 * [backup-simplify]: Simplify (- 0) into 0 5.293 * [backup-simplify]: Simplify 0 into 0 5.293 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.293 * [backup-simplify]: Simplify 0 into 0 5.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.294 * [backup-simplify]: Simplify (+ 0 0) into 0 5.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 5.295 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 0.5 (/ PI (pow b 2))) 5.295 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 5.295 * [taylor]: Taking taylor expansion of 0.5 in b 5.296 * [backup-simplify]: Simplify 0.5 into 0.5 5.296 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.296 * [taylor]: Taking taylor expansion of PI in b 5.296 * [backup-simplify]: Simplify PI into PI 5.296 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.296 * [taylor]: Taking taylor expansion of b in b 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 1 into 1 5.296 * [backup-simplify]: Simplify (* 1 1) into 1 5.296 * [backup-simplify]: Simplify (/ PI 1) into PI 5.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.300 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.300 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.302 * [backup-simplify]: Simplify (- 0) into 0 5.302 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify 0 into 0 5.304 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 5.304 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 5.304 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 5.304 * [taylor]: Taking taylor expansion of -0.5 in b 5.304 * [backup-simplify]: Simplify -0.5 into -0.5 5.304 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 5.304 * [taylor]: Taking taylor expansion of PI in b 5.304 * [backup-simplify]: Simplify PI into PI 5.304 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 5.304 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.304 * [taylor]: Taking taylor expansion of a in b 5.304 * [backup-simplify]: Simplify a into a 5.304 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.304 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.304 * [taylor]: Taking taylor expansion of b in b 5.304 * [backup-simplify]: Simplify 0 into 0 5.304 * [backup-simplify]: Simplify 1 into 1 5.305 * [backup-simplify]: Simplify (/ 1 1) into 1 5.305 * [backup-simplify]: Simplify (+ 0 1) into 1 5.306 * [backup-simplify]: Simplify (/ PI 1) into PI 5.306 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 5.306 * [taylor]: Taking taylor expansion of -0.5 in a 5.306 * [backup-simplify]: Simplify -0.5 into -0.5 5.306 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 5.306 * [taylor]: Taking taylor expansion of PI in a 5.306 * [backup-simplify]: Simplify PI into PI 5.306 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.306 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.306 * [taylor]: Taking taylor expansion of a in a 5.306 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify 1 into 1 5.306 * [backup-simplify]: Simplify (/ 1 1) into 1 5.306 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.306 * [taylor]: Taking taylor expansion of b in a 5.306 * [backup-simplify]: Simplify b into b 5.306 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.307 * [backup-simplify]: Simplify (+ 1 0) into 1 5.307 * [backup-simplify]: Simplify (/ PI 1) into PI 5.307 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 5.307 * [taylor]: Taking taylor expansion of -0.5 in a 5.307 * [backup-simplify]: Simplify -0.5 into -0.5 5.307 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 5.307 * [taylor]: Taking taylor expansion of PI in a 5.307 * [backup-simplify]: Simplify PI into PI 5.308 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.308 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.308 * [taylor]: Taking taylor expansion of a in a 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.308 * [backup-simplify]: Simplify (/ 1 1) into 1 5.308 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.308 * [taylor]: Taking taylor expansion of b in a 5.308 * [backup-simplify]: Simplify b into b 5.308 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.309 * [backup-simplify]: Simplify (+ 1 0) into 1 5.311 * [backup-simplify]: Simplify (/ PI 1) into PI 5.312 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 5.312 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 5.312 * [taylor]: Taking taylor expansion of -0.5 in b 5.312 * [backup-simplify]: Simplify -0.5 into -0.5 5.312 * [taylor]: Taking taylor expansion of PI in b 5.312 * [backup-simplify]: Simplify PI into PI 5.313 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 5.313 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.314 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 5.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 5.315 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI b))) (* 0 PI)) into (* 0.5 (/ PI b)) 5.315 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 5.315 * [taylor]: Taking taylor expansion of 0.5 in b 5.315 * [backup-simplify]: Simplify 0.5 into 0.5 5.315 * [taylor]: Taking taylor expansion of (/ PI b) in b 5.315 * [taylor]: Taking taylor expansion of PI in b 5.315 * [backup-simplify]: Simplify PI into PI 5.315 * [taylor]: Taking taylor expansion of b in b 5.315 * [backup-simplify]: Simplify 0 into 0 5.315 * [backup-simplify]: Simplify 1 into 1 5.316 * [backup-simplify]: Simplify (/ PI 1) into PI 5.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.319 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.320 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.322 * [backup-simplify]: Simplify (+ 0 0) into 0 5.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 5.324 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 0.5 (/ PI (pow b 2)))) 5.324 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 5.324 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 5.324 * [taylor]: Taking taylor expansion of 0.5 in b 5.324 * [backup-simplify]: Simplify 0.5 into 0.5 5.324 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.324 * [taylor]: Taking taylor expansion of PI in b 5.324 * [backup-simplify]: Simplify PI into PI 5.324 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.324 * [taylor]: Taking taylor expansion of b in b 5.324 * [backup-simplify]: Simplify 0 into 0 5.324 * [backup-simplify]: Simplify 1 into 1 5.325 * [backup-simplify]: Simplify (* 1 1) into 1 5.325 * [backup-simplify]: Simplify (/ PI 1) into PI 5.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.333 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.333 * [backup-simplify]: Simplify (- 0) into 0 5.333 * [backup-simplify]: Simplify 0 into 0 5.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.336 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.336 * [backup-simplify]: Simplify 0 into 0 5.337 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.337 * [backup-simplify]: Simplify 0 into 0 5.337 * [backup-simplify]: Simplify 0 into 0 5.337 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 5.338 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) into (* 0.5 (/ PI (* (+ a b) (- b a)))) 5.338 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (- b a)))) in (a b) around 0 5.338 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (- b a)))) in b 5.338 * [taylor]: Taking taylor expansion of 0.5 in b 5.338 * [backup-simplify]: Simplify 0.5 into 0.5 5.338 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in b 5.338 * [taylor]: Taking taylor expansion of PI in b 5.339 * [backup-simplify]: Simplify PI into PI 5.339 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 5.339 * [taylor]: Taking taylor expansion of (+ a b) in b 5.339 * [taylor]: Taking taylor expansion of a in b 5.339 * [backup-simplify]: Simplify a into a 5.339 * [taylor]: Taking taylor expansion of b in b 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [taylor]: Taking taylor expansion of (- b a) in b 5.339 * [taylor]: Taking taylor expansion of b in b 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 1 into 1 5.339 * [taylor]: Taking taylor expansion of a in b 5.339 * [backup-simplify]: Simplify a into a 5.339 * [backup-simplify]: Simplify (+ a 0) into a 5.339 * [backup-simplify]: Simplify (- a) into (- a) 5.339 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 5.339 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 5.339 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 2))) into (* -1 (/ PI (pow a 2))) 5.339 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (- b a)))) in a 5.339 * [taylor]: Taking taylor expansion of 0.5 in a 5.340 * [backup-simplify]: Simplify 0.5 into 0.5 5.340 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in a 5.340 * [taylor]: Taking taylor expansion of PI in a 5.340 * [backup-simplify]: Simplify PI into PI 5.340 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 5.340 * [taylor]: Taking taylor expansion of (+ a b) in a 5.340 * [taylor]: Taking taylor expansion of a in a 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.340 * [taylor]: Taking taylor expansion of b in a 5.340 * [backup-simplify]: Simplify b into b 5.340 * [taylor]: Taking taylor expansion of (- b a) in a 5.340 * [taylor]: Taking taylor expansion of b in a 5.340 * [backup-simplify]: Simplify b into b 5.340 * [taylor]: Taking taylor expansion of a in a 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.340 * [backup-simplify]: Simplify (+ 0 b) into b 5.341 * [backup-simplify]: Simplify (- 0) into 0 5.341 * [backup-simplify]: Simplify (+ b 0) into b 5.341 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.341 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 5.341 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (- b a)))) in a 5.341 * [taylor]: Taking taylor expansion of 0.5 in a 5.341 * [backup-simplify]: Simplify 0.5 into 0.5 5.341 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in a 5.341 * [taylor]: Taking taylor expansion of PI in a 5.341 * [backup-simplify]: Simplify PI into PI 5.341 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 5.341 * [taylor]: Taking taylor expansion of (+ a b) in a 5.341 * [taylor]: Taking taylor expansion of a in a 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.341 * [taylor]: Taking taylor expansion of b in a 5.341 * [backup-simplify]: Simplify b into b 5.341 * [taylor]: Taking taylor expansion of (- b a) in a 5.341 * [taylor]: Taking taylor expansion of b in a 5.341 * [backup-simplify]: Simplify b into b 5.341 * [taylor]: Taking taylor expansion of a in a 5.341 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (+ 0 b) into b 5.342 * [backup-simplify]: Simplify (- 0) into 0 5.342 * [backup-simplify]: Simplify (+ b 0) into b 5.342 * [backup-simplify]: Simplify (* b b) into (pow b 2) 5.342 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 5.343 * [backup-simplify]: Simplify (* 0.5 (/ PI (pow b 2))) into (* 0.5 (/ PI (pow b 2))) 5.343 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 5.343 * [taylor]: Taking taylor expansion of 0.5 in b 5.343 * [backup-simplify]: Simplify 0.5 into 0.5 5.343 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.343 * [taylor]: Taking taylor expansion of PI in b 5.343 * [backup-simplify]: Simplify PI into PI 5.343 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.343 * [taylor]: Taking taylor expansion of b in b 5.343 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify 1 into 1 5.343 * [backup-simplify]: Simplify (* 1 1) into 1 5.344 * [backup-simplify]: Simplify (/ PI 1) into PI 5.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.349 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify (- 1) into -1 5.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.350 * [backup-simplify]: Simplify (+ 1 0) into 1 5.351 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 5.351 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into 0 5.352 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ PI (pow b 2)))) into 0 5.352 * [taylor]: Taking taylor expansion of 0 in b 5.352 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.355 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify (- 0) into 0 5.356 * [backup-simplify]: Simplify (+ 0 0) into 0 5.357 * [backup-simplify]: Simplify (+ 0 0) into 0 5.357 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 5.358 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* 0 (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 5.359 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 4))) (+ (* 0 0) (* 0 (/ PI (pow b 2))))) into (* 0.5 (/ PI (pow b 4))) 5.359 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 5.359 * [taylor]: Taking taylor expansion of 0.5 in b 5.359 * [backup-simplify]: Simplify 0.5 into 0.5 5.359 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 5.359 * [taylor]: Taking taylor expansion of PI in b 5.359 * [backup-simplify]: Simplify PI into PI 5.359 * [taylor]: Taking taylor expansion of (pow b 4) in b 5.359 * [taylor]: Taking taylor expansion of b in b 5.359 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify 1 into 1 5.360 * [backup-simplify]: Simplify (* 1 1) into 1 5.360 * [backup-simplify]: Simplify (* 1 1) into 1 5.361 * [backup-simplify]: Simplify (/ PI 1) into PI 5.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.371 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.371 * [backup-simplify]: Simplify 0 into 0 5.371 * [backup-simplify]: Simplify 0 into 0 5.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.373 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.373 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) (/ 1.0 (- (/ 1 b) (/ 1 a)))) into (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 5.373 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 5.373 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 5.373 * [taylor]: Taking taylor expansion of 0.5 in b 5.373 * [backup-simplify]: Simplify 0.5 into 0.5 5.373 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 5.373 * [taylor]: Taking taylor expansion of PI in b 5.373 * [backup-simplify]: Simplify PI into PI 5.373 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 5.373 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 5.373 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.373 * [taylor]: Taking taylor expansion of a in b 5.373 * [backup-simplify]: Simplify a into a 5.373 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.374 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.374 * [taylor]: Taking taylor expansion of b in b 5.374 * [backup-simplify]: Simplify 0 into 0 5.374 * [backup-simplify]: Simplify 1 into 1 5.374 * [backup-simplify]: Simplify (/ 1 1) into 1 5.374 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 5.374 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.374 * [taylor]: Taking taylor expansion of b in b 5.374 * [backup-simplify]: Simplify 0 into 0 5.374 * [backup-simplify]: Simplify 1 into 1 5.374 * [backup-simplify]: Simplify (/ 1 1) into 1 5.374 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.374 * [taylor]: Taking taylor expansion of a in b 5.374 * [backup-simplify]: Simplify a into a 5.374 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.374 * [backup-simplify]: Simplify (+ 0 1) into 1 5.375 * [backup-simplify]: Simplify (+ 1 0) into 1 5.375 * [backup-simplify]: Simplify (* 1 1) into 1 5.375 * [backup-simplify]: Simplify (/ PI 1) into PI 5.375 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 5.375 * [taylor]: Taking taylor expansion of 0.5 in a 5.375 * [backup-simplify]: Simplify 0.5 into 0.5 5.375 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 5.375 * [taylor]: Taking taylor expansion of PI in a 5.375 * [backup-simplify]: Simplify PI into PI 5.375 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 5.375 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.375 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.375 * [taylor]: Taking taylor expansion of a in a 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify 1 into 1 5.376 * [backup-simplify]: Simplify (/ 1 1) into 1 5.376 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.376 * [taylor]: Taking taylor expansion of b in a 5.376 * [backup-simplify]: Simplify b into b 5.376 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.376 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 5.376 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.376 * [taylor]: Taking taylor expansion of b in a 5.376 * [backup-simplify]: Simplify b into b 5.376 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.376 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.376 * [taylor]: Taking taylor expansion of a in a 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify 1 into 1 5.376 * [backup-simplify]: Simplify (/ 1 1) into 1 5.376 * [backup-simplify]: Simplify (+ 1 0) into 1 5.377 * [backup-simplify]: Simplify (- 1) into -1 5.377 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.377 * [backup-simplify]: Simplify (* 1 -1) into -1 5.377 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 5.378 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 5.378 * [taylor]: Taking taylor expansion of 0.5 in a 5.378 * [backup-simplify]: Simplify 0.5 into 0.5 5.378 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 5.378 * [taylor]: Taking taylor expansion of PI in a 5.378 * [backup-simplify]: Simplify PI into PI 5.378 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 5.378 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.378 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.378 * [taylor]: Taking taylor expansion of a in a 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 1 into 1 5.378 * [backup-simplify]: Simplify (/ 1 1) into 1 5.378 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.378 * [taylor]: Taking taylor expansion of b in a 5.378 * [backup-simplify]: Simplify b into b 5.378 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.378 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 5.378 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.378 * [taylor]: Taking taylor expansion of b in a 5.378 * [backup-simplify]: Simplify b into b 5.378 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.378 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.378 * [taylor]: Taking taylor expansion of a in a 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 1 into 1 5.378 * [backup-simplify]: Simplify (/ 1 1) into 1 5.379 * [backup-simplify]: Simplify (+ 1 0) into 1 5.379 * [backup-simplify]: Simplify (- 1) into -1 5.379 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.379 * [backup-simplify]: Simplify (* 1 -1) into -1 5.380 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 5.380 * [backup-simplify]: Simplify (* 0.5 (* -1 PI)) into (* -0.5 PI) 5.380 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 5.380 * [taylor]: Taking taylor expansion of -0.5 in b 5.380 * [backup-simplify]: Simplify -0.5 into -0.5 5.380 * [taylor]: Taking taylor expansion of PI in b 5.381 * [backup-simplify]: Simplify PI into PI 5.381 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.381 * [backup-simplify]: Simplify 0 into 0 5.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.382 * [backup-simplify]: Simplify (- 0) into 0 5.382 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 5.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.382 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 5.382 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 5.383 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 5.384 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 PI))) into 0 5.384 * [taylor]: Taking taylor expansion of 0 in b 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.385 * [backup-simplify]: Simplify (- 0) into 0 5.385 * [backup-simplify]: Simplify (+ 0 0) into 0 5.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.386 * [backup-simplify]: Simplify (+ 0 0) into 0 5.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 5.388 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow b 2))) 5.389 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow b 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (- (* 0.5 (/ PI (pow b 2)))) 5.389 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 5.389 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 5.389 * [taylor]: Taking taylor expansion of 0.5 in b 5.389 * [backup-simplify]: Simplify 0.5 into 0.5 5.389 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.389 * [taylor]: Taking taylor expansion of PI in b 5.389 * [backup-simplify]: Simplify PI into PI 5.389 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.389 * [taylor]: Taking taylor expansion of b in b 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.389 * [backup-simplify]: Simplify (* 1 1) into 1 5.389 * [backup-simplify]: Simplify (/ PI 1) into PI 5.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.394 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.395 * [backup-simplify]: Simplify (- 0) into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 5.396 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 5.396 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 5.396 * [taylor]: Taking taylor expansion of -0.5 in b 5.396 * [backup-simplify]: Simplify -0.5 into -0.5 5.396 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 5.396 * [taylor]: Taking taylor expansion of PI in b 5.396 * [backup-simplify]: Simplify PI into PI 5.396 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 5.396 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 5.396 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.396 * [taylor]: Taking taylor expansion of a in b 5.396 * [backup-simplify]: Simplify a into a 5.396 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.396 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.396 * [taylor]: Taking taylor expansion of b in b 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.397 * [backup-simplify]: Simplify (/ 1 1) into 1 5.397 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 5.397 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.397 * [taylor]: Taking taylor expansion of a in b 5.397 * [backup-simplify]: Simplify a into a 5.397 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.397 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.397 * [taylor]: Taking taylor expansion of b in b 5.397 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify 1 into 1 5.397 * [backup-simplify]: Simplify (/ 1 1) into 1 5.397 * [backup-simplify]: Simplify (+ 0 1) into 1 5.398 * [backup-simplify]: Simplify (- 1) into -1 5.398 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.398 * [backup-simplify]: Simplify (* 1 -1) into -1 5.399 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 5.399 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 5.399 * [taylor]: Taking taylor expansion of -0.5 in a 5.399 * [backup-simplify]: Simplify -0.5 into -0.5 5.399 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 5.399 * [taylor]: Taking taylor expansion of PI in a 5.399 * [backup-simplify]: Simplify PI into PI 5.399 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 5.399 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.399 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.399 * [taylor]: Taking taylor expansion of a in a 5.399 * [backup-simplify]: Simplify 0 into 0 5.399 * [backup-simplify]: Simplify 1 into 1 5.399 * [backup-simplify]: Simplify (/ 1 1) into 1 5.399 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.399 * [taylor]: Taking taylor expansion of b in a 5.399 * [backup-simplify]: Simplify b into b 5.400 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.400 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.400 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.400 * [taylor]: Taking taylor expansion of a in a 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [backup-simplify]: Simplify (/ 1 1) into 1 5.400 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.400 * [taylor]: Taking taylor expansion of b in a 5.400 * [backup-simplify]: Simplify b into b 5.400 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.401 * [backup-simplify]: Simplify (+ 1 0) into 1 5.401 * [backup-simplify]: Simplify (+ 1 0) into 1 5.401 * [backup-simplify]: Simplify (* 1 1) into 1 5.402 * [backup-simplify]: Simplify (/ PI 1) into PI 5.402 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 5.402 * [taylor]: Taking taylor expansion of -0.5 in a 5.402 * [backup-simplify]: Simplify -0.5 into -0.5 5.402 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 5.402 * [taylor]: Taking taylor expansion of PI in a 5.402 * [backup-simplify]: Simplify PI into PI 5.402 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 5.402 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 5.402 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.402 * [taylor]: Taking taylor expansion of a in a 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.403 * [backup-simplify]: Simplify (/ 1 1) into 1 5.403 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.403 * [taylor]: Taking taylor expansion of b in a 5.403 * [backup-simplify]: Simplify b into b 5.403 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.403 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.403 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.403 * [taylor]: Taking taylor expansion of a in a 5.403 * [backup-simplify]: Simplify 0 into 0 5.403 * [backup-simplify]: Simplify 1 into 1 5.403 * [backup-simplify]: Simplify (/ 1 1) into 1 5.403 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.403 * [taylor]: Taking taylor expansion of b in a 5.403 * [backup-simplify]: Simplify b into b 5.403 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.404 * [backup-simplify]: Simplify (+ 1 0) into 1 5.404 * [backup-simplify]: Simplify (+ 1 0) into 1 5.405 * [backup-simplify]: Simplify (* 1 1) into 1 5.405 * [backup-simplify]: Simplify (/ PI 1) into PI 5.406 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 5.406 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 5.406 * [taylor]: Taking taylor expansion of -0.5 in b 5.406 * [backup-simplify]: Simplify -0.5 into -0.5 5.406 * [taylor]: Taking taylor expansion of PI in b 5.406 * [backup-simplify]: Simplify PI into PI 5.407 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 5.407 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.408 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 5.408 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 5.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.409 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 5.409 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 5.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.411 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 5.411 * [taylor]: Taking taylor expansion of 0 in b 5.411 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 5.413 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.414 * [backup-simplify]: Simplify (- 0) into 0 5.415 * [backup-simplify]: Simplify (+ 0 0) into 0 5.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 5.416 * [backup-simplify]: Simplify (+ 0 0) into 0 5.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 5.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow b 2)) 5.420 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow b 2))) (+ (* 0 0) (* 0 PI))) into (- (* 0.5 (/ PI (pow b 2)))) 5.420 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 5.420 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 5.420 * [taylor]: Taking taylor expansion of 0.5 in b 5.420 * [backup-simplify]: Simplify 0.5 into 0.5 5.420 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 5.420 * [taylor]: Taking taylor expansion of PI in b 5.420 * [backup-simplify]: Simplify PI into PI 5.420 * [taylor]: Taking taylor expansion of (pow b 2) in b 5.420 * [taylor]: Taking taylor expansion of b in b 5.420 * [backup-simplify]: Simplify 0 into 0 5.420 * [backup-simplify]: Simplify 1 into 1 5.420 * [backup-simplify]: Simplify (* 1 1) into 1 5.421 * [backup-simplify]: Simplify (/ PI 1) into PI 5.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.430 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.431 * [backup-simplify]: Simplify (- 0) into 0 5.431 * [backup-simplify]: Simplify 0 into 0 5.431 * [backup-simplify]: Simplify 0 into 0 5.432 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.432 * [backup-simplify]: Simplify 0 into 0 5.432 * [backup-simplify]: Simplify 0 into 0 5.433 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 5.433 * [backup-simplify]: Simplify (/ 1.0 (- b a)) into (/ 1.0 (- b a)) 5.433 * [approximate]: Taking taylor expansion of (/ 1.0 (- b a)) in (b a) around 0 5.433 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in a 5.433 * [taylor]: Taking taylor expansion of 1.0 in a 5.433 * [backup-simplify]: Simplify 1.0 into 1.0 5.433 * [taylor]: Taking taylor expansion of (- b a) in a 5.433 * [taylor]: Taking taylor expansion of b in a 5.433 * [backup-simplify]: Simplify b into b 5.433 * [taylor]: Taking taylor expansion of a in a 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 1 into 1 5.433 * [backup-simplify]: Simplify (- 0) into 0 5.433 * [backup-simplify]: Simplify (+ b 0) into b 5.434 * [backup-simplify]: Simplify (/ 1.0 b) into (/ 1.0 b) 5.434 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in b 5.434 * [taylor]: Taking taylor expansion of 1.0 in b 5.434 * [backup-simplify]: Simplify 1.0 into 1.0 5.434 * [taylor]: Taking taylor expansion of (- b a) in b 5.434 * [taylor]: Taking taylor expansion of b in b 5.434 * [backup-simplify]: Simplify 0 into 0 5.434 * [backup-simplify]: Simplify 1 into 1 5.434 * [taylor]: Taking taylor expansion of a in b 5.434 * [backup-simplify]: Simplify a into a 5.434 * [backup-simplify]: Simplify (- a) into (- a) 5.434 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 5.434 * [backup-simplify]: Simplify (/ 1.0 (- a)) into (/ -1.0 a) 5.434 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in b 5.434 * [taylor]: Taking taylor expansion of 1.0 in b 5.434 * [backup-simplify]: Simplify 1.0 into 1.0 5.434 * [taylor]: Taking taylor expansion of (- b a) in b 5.434 * [taylor]: Taking taylor expansion of b in b 5.434 * [backup-simplify]: Simplify 0 into 0 5.434 * [backup-simplify]: Simplify 1 into 1 5.434 * [taylor]: Taking taylor expansion of a in b 5.434 * [backup-simplify]: Simplify a into a 5.434 * [backup-simplify]: Simplify (- a) into (- a) 5.434 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 5.434 * [backup-simplify]: Simplify (/ 1.0 (- a)) into (/ -1.0 a) 5.435 * [taylor]: Taking taylor expansion of (/ -1.0 a) in a 5.435 * [taylor]: Taking taylor expansion of -1.0 in a 5.435 * [backup-simplify]: Simplify -1.0 into -1.0 5.435 * [taylor]: Taking taylor expansion of a in a 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify 1 into 1 5.435 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 5.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)))) into 0 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify (- 0) into 0 5.437 * [backup-simplify]: Simplify (+ 1 0) into 1 5.437 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (/ -1.0 a) (/ 1 (- a))))) into (- (* 1.0 (/ 1 (pow a 2)))) 5.437 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 2)))) in a 5.437 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 5.437 * [taylor]: Taking taylor expansion of 1.0 in a 5.437 * [backup-simplify]: Simplify 1.0 into 1.0 5.437 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.437 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.437 * [taylor]: Taking taylor expansion of a in a 5.437 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify 1 into 1 5.438 * [backup-simplify]: Simplify (* 1 1) into 1 5.438 * [backup-simplify]: Simplify (/ 1 1) into 1 5.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.442 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 5.443 * [backup-simplify]: Simplify (- 0) into 0 5.443 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.444 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify (- 0) into 0 5.447 * [backup-simplify]: Simplify (+ 0 0) into 0 5.448 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (/ -1.0 a) (/ 0 (- a))) (* (- (* 1.0 (/ 1 (pow a 2)))) (/ 1 (- a))))) into (- (* 1.0 (/ 1 (pow a 3)))) 5.448 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 3)))) in a 5.448 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 3))) in a 5.448 * [taylor]: Taking taylor expansion of 1.0 in a 5.448 * [backup-simplify]: Simplify 1.0 into 1.0 5.448 * [taylor]: Taking taylor expansion of (/ 1 (pow a 3)) in a 5.448 * [taylor]: Taking taylor expansion of (pow a 3) in a 5.448 * [taylor]: Taking taylor expansion of a in a 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify 1 into 1 5.448 * [backup-simplify]: Simplify (* 1 1) into 1 5.449 * [backup-simplify]: Simplify (* 1 1) into 1 5.449 * [backup-simplify]: Simplify (/ 1 1) into 1 5.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.458 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.458 * [backup-simplify]: Simplify (- 0) into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.461 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (- 0) into 0 5.462 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.463 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify 0 into 0 5.464 * [backup-simplify]: Simplify (/ 1.0 (- (/ 1 b) (/ 1 a))) into (/ 1.0 (- (/ 1 b) (/ 1 a))) 5.464 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in (b a) around 0 5.464 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in a 5.464 * [taylor]: Taking taylor expansion of 1.0 in a 5.464 * [backup-simplify]: Simplify 1.0 into 1.0 5.464 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 5.464 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.464 * [taylor]: Taking taylor expansion of b in a 5.464 * [backup-simplify]: Simplify b into b 5.464 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.464 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.464 * [taylor]: Taking taylor expansion of a in a 5.464 * [backup-simplify]: Simplify 0 into 0 5.464 * [backup-simplify]: Simplify 1 into 1 5.464 * [backup-simplify]: Simplify (/ 1 1) into 1 5.465 * [backup-simplify]: Simplify (- 1) into -1 5.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.466 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 5.466 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in b 5.466 * [taylor]: Taking taylor expansion of 1.0 in b 5.466 * [backup-simplify]: Simplify 1.0 into 1.0 5.466 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 5.466 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.466 * [taylor]: Taking taylor expansion of b in b 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (/ 1 1) into 1 5.467 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.467 * [taylor]: Taking taylor expansion of a in b 5.467 * [backup-simplify]: Simplify a into a 5.467 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.467 * [backup-simplify]: Simplify (+ 1 0) into 1 5.468 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.468 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in b 5.468 * [taylor]: Taking taylor expansion of 1.0 in b 5.468 * [backup-simplify]: Simplify 1.0 into 1.0 5.468 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 5.468 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.468 * [taylor]: Taking taylor expansion of b in b 5.468 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify 1 into 1 5.469 * [backup-simplify]: Simplify (/ 1 1) into 1 5.469 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.469 * [taylor]: Taking taylor expansion of a in b 5.469 * [backup-simplify]: Simplify a into a 5.469 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.469 * [backup-simplify]: Simplify (+ 1 0) into 1 5.470 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.470 * [taylor]: Taking taylor expansion of 1.0 in a 5.470 * [backup-simplify]: Simplify 1.0 into 1.0 5.470 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.471 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 5.471 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 5.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 a)) 1)))) into (* 1.0 (/ 1 a)) 5.471 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 5.471 * [taylor]: Taking taylor expansion of 1.0 in a 5.471 * [backup-simplify]: Simplify 1.0 into 1.0 5.471 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.471 * [taylor]: Taking taylor expansion of a in a 5.472 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify 1 into 1 5.472 * [backup-simplify]: Simplify (/ 1 1) into 1 5.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.475 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 5.476 * [backup-simplify]: Simplify (- 0) into 0 5.476 * [backup-simplify]: Simplify (+ 0 0) into 0 5.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* (* 1.0 (/ 1 a)) (/ (- (/ 1 a)) 1)))) into (* 1.0 (/ 1 (pow a 2))) 5.478 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 5.478 * [taylor]: Taking taylor expansion of 1.0 in a 5.478 * [backup-simplify]: Simplify 1.0 into 1.0 5.478 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.478 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.478 * [taylor]: Taking taylor expansion of a in a 5.478 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify 1 into 1 5.479 * [backup-simplify]: Simplify (* 1 1) into 1 5.479 * [backup-simplify]: Simplify (/ 1 1) into 1 5.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.485 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.485 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.487 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.487 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a)))) into (/ 1.0 (- (/ 1 a) (/ 1 b))) 5.488 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in (b a) around 0 5.488 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in a 5.488 * [taylor]: Taking taylor expansion of 1.0 in a 5.488 * [backup-simplify]: Simplify 1.0 into 1.0 5.488 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 5.488 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.488 * [taylor]: Taking taylor expansion of a in a 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 1 into 1 5.489 * [backup-simplify]: Simplify (/ 1 1) into 1 5.489 * [taylor]: Taking taylor expansion of (/ 1 b) in a 5.489 * [taylor]: Taking taylor expansion of b in a 5.489 * [backup-simplify]: Simplify b into b 5.489 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 5.489 * [backup-simplify]: Simplify (+ 1 0) into 1 5.490 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 5.490 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in b 5.490 * [taylor]: Taking taylor expansion of 1.0 in b 5.490 * [backup-simplify]: Simplify 1.0 into 1.0 5.490 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 5.490 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.490 * [taylor]: Taking taylor expansion of a in b 5.490 * [backup-simplify]: Simplify a into a 5.490 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.490 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.490 * [taylor]: Taking taylor expansion of b in b 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify 1 into 1 5.491 * [backup-simplify]: Simplify (/ 1 1) into 1 5.491 * [backup-simplify]: Simplify (- 1) into -1 5.491 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.492 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 5.492 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in b 5.492 * [taylor]: Taking taylor expansion of 1.0 in b 5.492 * [backup-simplify]: Simplify 1.0 into 1.0 5.492 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 5.492 * [taylor]: Taking taylor expansion of (/ 1 a) in b 5.492 * [taylor]: Taking taylor expansion of a in b 5.492 * [backup-simplify]: Simplify a into a 5.492 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 5.492 * [taylor]: Taking taylor expansion of (/ 1 b) in b 5.492 * [taylor]: Taking taylor expansion of b in b 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify 1 into 1 5.493 * [backup-simplify]: Simplify (/ 1 1) into 1 5.493 * [backup-simplify]: Simplify (- 1) into -1 5.494 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.494 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 5.494 * [taylor]: Taking taylor expansion of -1.0 in a 5.495 * [backup-simplify]: Simplify -1.0 into -1.0 5.495 * [backup-simplify]: Simplify 0 into 0 5.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.496 * [backup-simplify]: Simplify (- 0) into 0 5.496 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 5.496 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1.0 (/ (/ 1 a) -1)))) into (- (* 1.0 (/ 1 a))) 5.497 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a))) in a 5.497 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 5.497 * [taylor]: Taking taylor expansion of 1.0 in a 5.497 * [backup-simplify]: Simplify 1.0 into 1.0 5.497 * [taylor]: Taking taylor expansion of (/ 1 a) in a 5.497 * [taylor]: Taking taylor expansion of a in a 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 1 into 1 5.497 * [backup-simplify]: Simplify (/ 1 1) into 1 5.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.500 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 5.500 * [backup-simplify]: Simplify (- 0) into 0 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 5.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.502 * [backup-simplify]: Simplify (- 0) into 0 5.502 * [backup-simplify]: Simplify (+ 0 0) into 0 5.503 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1.0 (/ 0 -1)) (* (- (* 1.0 (/ 1 a))) (/ (/ 1 a) -1)))) into (- (* 1.0 (/ 1 (pow a 2)))) 5.504 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 2)))) in a 5.504 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 5.504 * [taylor]: Taking taylor expansion of 1.0 in a 5.504 * [backup-simplify]: Simplify 1.0 into 1.0 5.504 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.504 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.504 * [taylor]: Taking taylor expansion of a in a 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify 1 into 1 5.504 * [backup-simplify]: Simplify (* 1 1) into 1 5.505 * [backup-simplify]: Simplify (/ 1 1) into 1 5.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.511 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.511 * [backup-simplify]: Simplify (- 0) into 0 5.511 * [backup-simplify]: Simplify 0 into 0 5.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.513 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.514 * [backup-simplify]: Simplify (- 0) into 0 5.514 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify 0 into 0 5.514 * * * [progress]: simplifying candidates 5.524 * [simplify]: Simplifying: (* 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(/ PI 2.0) (+ a b))))) (* (* (* (/ (/ PI 2.0) (+ a b)) (* (/ (/ PI 2.0) (+ a b)) (/ (/ PI 2.0) (+ a b)))) (* (/ 1.0 (- b a)) (/ 1.0 (- b a)))) (/ 1.0 (- b a))) (* (* (* (* (/ (/ PI 2.0) (+ a b)) (/ (/ PI 2.0) (+ a b))) (/ (/ PI 2.0) (+ a b))) (* (/ 1.0 (- b a)) (/ 1.0 (- b a)))) (/ 1.0 (- b a))) (* (/ (/ PI 2.0) (+ a b)) (* (/ (/ PI 2.0) (+ a b)) (* (/ (/ PI 2.0) (+ a b)) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))))) (* (cbrt (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b))) (cbrt (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b)))) (cbrt (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b))) (* (* (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b)) (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b))) (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b))) (sqrt (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b))) (sqrt (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b))) (/ (* PI 1.0) 2.0) (* (- b a) (+ a b)) (* (sqrt (/ 1.0 (- b a))) (sqrt (/ (/ PI 2.0) (+ a b)))) (* (sqrt (/ 1.0 (- b a))) (sqrt (/ (/ PI 2.0) (+ a b)))) (* (/ (sqrt 1.0) (sqrt (- b a))) (sqrt (/ (/ PI 2.0) (+ a b)))) (* (/ (sqrt 1.0) (sqrt (- b a))) (sqrt (/ (/ PI 2.0) (+ a b)))) (/ (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- b a)))) (sqrt (+ a b))) (/ (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- b a)))) (sqrt (+ a b))) (/ (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (- b a)))) (sqrt (+ a b))) (/ (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (- b a)))) (sqrt (+ a b))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ a b))) (sqrt (/ 1.0 (- b a)))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ a b))) (sqrt (/ 1.0 (- b a)))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ a b))) (/ (sqrt 1.0) (sqrt (- b a)))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ a b))) (/ (sqrt 1.0) (sqrt (- b a)))) (* (* (/ (/ PI 2.0) (+ a b)) (cbrt (/ 1.0 (- b a)))) (cbrt (/ 1.0 (- b a)))) (* (/ (/ PI 2.0) (+ a b)) (sqrt (/ 1.0 (- b a)))) (/ (* (/ PI 2.0) (* (/ (cbrt 1.0) (cbrt (- b a))) (/ (cbrt 1.0) (cbrt (- b a))))) (+ a b)) (* (/ (/ PI 2.0) (+ a b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- b a)))) (* (* (cbrt 1.0) (cbrt 1.0)) (/ (/ PI 2.0) (+ a b))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ (/ PI 2.0) (+ a b))) (+ (sqrt b) (sqrt a))) (* (* (cbrt 1.0) (cbrt 1.0)) (/ (/ PI 2.0) (+ a b))) (/ (* (/ PI 2.0) (/ (sqrt 1.0) (* (cbrt (- b a)) (cbrt (- b a))))) (+ a b)) (/ (* (/ (/ PI 2.0) (+ a b)) (sqrt 1.0)) (sqrt (- b a))) (* (/ (/ PI 2.0) (+ a b)) (sqrt 1.0)) (/ (* (/ (/ PI 2.0) (+ a b)) (sqrt 1.0)) (+ (sqrt b) (sqrt a))) (* (/ (/ PI 2.0) (+ a b)) (sqrt 1.0)) (/ (/ (/ PI 2.0) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ PI 2.0) (+ a b)) (sqrt (- b a))) (/ (/ PI 2.0) (+ a b)) (/ (/ (/ PI 2.0) (+ a b)) (+ (sqrt b) (sqrt a))) (/ (/ PI 2.0) (+ a b)) (/ (/ PI 2.0) (+ a b)) (* 1.0 (/ (/ PI 2.0) (+ a b))) (/ (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (* (* b b) b) (* a (* a a)))) (/ (* (/ (/ PI 2.0) (+ a b)) 1.0) (* (- b a) (+ a b))) (* (/ 1.0 (- b a)) (cbrt (/ (/ PI 2.0) (+ a b)))) (* (sqrt (/ (/ PI 2.0) (+ a b))) (/ 1.0 (- b a))) (* (/ (cbrt (/ PI 2.0)) (cbrt (+ a b))) (/ 1.0 (- b a))) (* (/ (cbrt (/ PI 2.0)) (sqrt (+ a b))) (/ 1.0 (- b a))) (* (/ 1.0 (- b a)) (/ (cbrt (/ PI 2.0)) (+ a b))) (* (/ 1.0 (- b a)) (/ (cbrt (/ PI 2.0)) (+ a b))) (/ (* (sqrt (/ PI 2.0)) (/ 1.0 (- b a))) (cbrt (+ a b))) (* (/ 1.0 (- b a)) (/ (sqrt (/ PI 2.0)) (sqrt (+ a b)))) (* (/ (sqrt (/ PI 2.0)) (+ a b)) (/ 1.0 (- b a))) (* (/ (sqrt (/ PI 2.0)) (+ a b)) (/ 1.0 (- b a))) (/ (* (/ (cbrt PI) (cbrt 2.0)) (/ 1.0 (- b a))) (cbrt (+ a b))) (/ (* (/ (cbrt PI) (cbrt 2.0)) (/ 1.0 (- b a))) (sqrt (+ a b))) (* (/ (cbrt PI) (* (+ a b) (cbrt 2.0))) (/ 1.0 (- b a))) (* (/ (cbrt PI) (* (+ a b) (cbrt 2.0))) (/ 1.0 (- b a))) (* (/ (cbrt PI) (* (cbrt (+ a b)) (sqrt 2.0))) (/ 1.0 (- b a))) (* (/ (/ (cbrt PI) (sqrt 2.0)) (sqrt (+ a b))) (/ 1.0 (- b a))) (/ (/ (* (/ (cbrt PI) (sqrt 2.0)) 1.0) (- b a)) (+ a b)) (/ (/ (* (/ (cbrt PI) (sqrt 2.0)) 1.0) (- b a)) (+ a b)) (/ (* (/ (/ (cbrt PI) 2.0) (cbrt (+ a b))) 1.0) (- b a)) (* (/ (/ (cbrt PI) 2.0) (sqrt (+ a b))) (/ 1.0 (- b a))) (/ (* (/ (cbrt PI) 2.0) (/ 1.0 (- b a))) (+ a b)) (/ (* (/ (cbrt PI) 2.0) (/ 1.0 (- b a))) (+ a b)) (* (/ 1.0 (- b a)) (/ (/ (sqrt PI) (cbrt 2.0)) (cbrt (+ a b)))) (* (/ 1.0 (- b a)) (/ (sqrt PI) (* (sqrt (+ a b)) (cbrt 2.0)))) (* (/ (/ (sqrt PI) (cbrt 2.0)) (+ a b)) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) (cbrt 2.0)) (+ a b)) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (cbrt (+ a b))) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ a b))) (/ 1.0 (- b a))) (/ (* (/ 1.0 (- b a)) (sqrt PI)) (* (+ a b) (sqrt 2.0))) (/ (* (/ 1.0 (- b a)) (sqrt PI)) (* (+ a b) (sqrt 2.0))) (* (/ (/ (sqrt PI) 2.0) (cbrt (+ a b))) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) 2.0) (sqrt (+ a b))) (/ 1.0 (- b a))) (/ (* (/ (/ (sqrt PI) 2.0) (+ a b)) 1.0) (- b a)) (/ (* (/ (/ (sqrt PI) 2.0) (+ a b)) 1.0) (- b a)) (* (/ 1.0 (- b a)) (/ (/ PI (cbrt 2.0)) (cbrt (+ a b)))) (* (/ 1.0 (- b a)) (/ (/ PI (cbrt 2.0)) (sqrt (+ a b)))) (/ (* (/ PI (cbrt 2.0)) (/ 1.0 (- b a))) (+ a b)) (/ (* (/ PI (cbrt 2.0)) (/ 1.0 (- b a))) (+ a b)) (/ (* (/ PI (sqrt 2.0)) (/ 1.0 (- b a))) (cbrt (+ a b))) (/ (* (/ PI (sqrt 2.0)) (/ 1.0 (- b a))) (sqrt (+ a b))) (* (/ PI (* (+ a b) (sqrt 2.0))) (/ 1.0 (- b a))) (* (/ PI (* (+ a b) (sqrt 2.0))) (/ 1.0 (- b a))) (* (/ 1.0 (- b a)) (/ (/ PI 2.0) (cbrt (+ a b)))) (/ (* (/ PI 2.0) (/ 1.0 (- b a))) (sqrt (+ a b))) (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b)) (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b)) (* (/ 1.0 (- b a)) (/ (/ PI 2.0) (cbrt (+ a b)))) (/ (* (/ PI 2.0) (/ 1.0 (- b a))) (sqrt (+ a b))) (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b)) (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b)) (/ (* (/ 1 2.0) (/ 1.0 (- b a))) (cbrt (+ a b))) (/ (* (/ 1 2.0) (/ 1.0 (- b a))) (sqrt (+ a b))) (* (/ 1.0 (- b a)) (/ (/ 1 2.0) (+ a b))) (* (/ 1.0 (- b a)) (/ (/ 1 2.0) (+ a b))) (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (+ a b)) (/ (/ 1.0 (- b a)) (+ a b)) (* (+ (* b (- b a)) (* a a)) (/ 1.0 (- b a))) (* (- a b) (/ 1.0 (- b a))) (* 1.0 (/ (/ PI 2.0) (+ a b))) (* (/ PI 2.0) (/ 1.0 (- b a))) (log (/ 1.0 (- b a))) (log (/ 1.0 (- b a))) (exp (/ 1.0 (- b a))) (* (/ 1.0 (- b a)) (* (/ 1.0 (- b a)) (/ 1.0 (- b a)))) (* (cbrt (/ 1.0 (- b a))) (cbrt (/ 1.0 (- b a)))) (cbrt (/ 1.0 (- b a))) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a))) (sqrt (/ 1.0 (- b a))) (sqrt (/ 1.0 (- b a))) (- 1.0) (- (- b a)) (* (/ (cbrt 1.0) (cbrt (- b a))) (/ (cbrt 1.0) (cbrt (- b a)))) (/ (cbrt 1.0) (cbrt (- b a))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- b a))) (/ (cbrt 1.0) (sqrt (- b a))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (- b a)) (/ (* (cbrt 1.0) (cbrt 1.0)) (+ (sqrt b) (sqrt a))) (/ (cbrt 1.0) (- (sqrt b) (sqrt a))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (- b a)) (/ (sqrt 1.0) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt 1.0) (cbrt (- b a))) (/ (sqrt 1.0) (sqrt (- b a))) (/ (sqrt 1.0) (sqrt (- b a))) (sqrt 1.0) (/ (sqrt 1.0) (- b a)) (/ (sqrt 1.0) (+ (sqrt b) (sqrt a))) (/ (sqrt 1.0) (- (sqrt b) (sqrt a))) (sqrt 1.0) (/ (sqrt 1.0) (- b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 1.0 (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ 1.0 (sqrt (- b a))) 1 (/ 1.0 (- b a)) (/ 1 (+ (sqrt b) (sqrt a))) (/ 1.0 (- (sqrt b) (sqrt a))) 1 (/ 1.0 (- b a)) (/ 1 (- b a)) (/ (- b a) 1.0) (/ (/ 1.0 (cbrt (- b a))) (cbrt (- b a))) (/ 1.0 (sqrt (- b a))) 1.0 (/ 1.0 (+ (sqrt b) (sqrt a))) 1.0 (/ (- b a) (cbrt 1.0)) (/ (- b a) (sqrt 1.0)) (/ (- b a) 1.0) (/ 1.0 (- (* (* b b) b) (* a (* a a)))) (/ 1.0 (* (- b a) (+ a b))) 0 0 0 0 0 0 0 0 0 0 0 0 7.012 * * * [progress]: adding candidates to table 8.740 * * [progress]: iteration 3 / 4 8.740 * * * [progress]: picking best candidate 8.794 * * * * [pick]: Picked # 8.794 * * * [progress]: localizing error 8.845 * * * [progress]: generating rewritten candidates 8.846 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.006 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 9.032 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 9.132 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 9.184 * * * [progress]: generating series expansions 9.184 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.185 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) 9.185 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in (a b) around 0 9.185 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in b 9.185 * [taylor]: Taking taylor expansion of 0.5 in b 9.185 * [backup-simplify]: Simplify 0.5 into 0.5 9.185 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in b 9.185 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 9.185 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 9.185 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 9.185 * [taylor]: Taking taylor expansion of 1.0 in b 9.185 * [backup-simplify]: Simplify 1.0 into 1.0 9.185 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.185 * [taylor]: Taking taylor expansion of a in b 9.185 * [backup-simplify]: Simplify a into a 9.186 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.186 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 9.186 * [taylor]: Taking taylor expansion of 1.0 in b 9.186 * [backup-simplify]: Simplify 1.0 into 1.0 9.186 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.186 * [taylor]: Taking taylor expansion of b in b 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify 1 into 1 9.186 * [backup-simplify]: Simplify (/ 1 1) into 1 9.186 * [taylor]: Taking taylor expansion of PI in b 9.186 * [backup-simplify]: Simplify PI into PI 9.186 * [taylor]: Taking taylor expansion of (+ a b) in b 9.186 * [taylor]: Taking taylor expansion of a in b 9.186 * [backup-simplify]: Simplify a into a 9.186 * [taylor]: Taking taylor expansion of b in b 9.186 * [backup-simplify]: Simplify 0 into 0 9.186 * [backup-simplify]: Simplify 1 into 1 9.187 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.187 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.188 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 9.189 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 9.189 * [backup-simplify]: Simplify (+ a 0) into a 9.189 * [backup-simplify]: Simplify (/ (* -1.0 PI) a) into (* -1.0 (/ PI a)) 9.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in a 9.190 * [taylor]: Taking taylor expansion of 0.5 in a 9.190 * [backup-simplify]: Simplify 0.5 into 0.5 9.190 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in a 9.190 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 9.190 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 9.190 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 9.190 * [taylor]: Taking taylor expansion of 1.0 in a 9.190 * [backup-simplify]: Simplify 1.0 into 1.0 9.190 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.190 * [taylor]: Taking taylor expansion of a in a 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify 1 into 1 9.190 * [backup-simplify]: Simplify (/ 1 1) into 1 9.190 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 9.190 * [taylor]: Taking taylor expansion of 1.0 in a 9.190 * [backup-simplify]: Simplify 1.0 into 1.0 9.190 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.190 * [taylor]: Taking taylor expansion of b in a 9.190 * [backup-simplify]: Simplify b into b 9.190 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.190 * [taylor]: Taking taylor expansion of PI in a 9.191 * [backup-simplify]: Simplify PI into PI 9.191 * [taylor]: Taking taylor expansion of (+ a b) in a 9.191 * [taylor]: Taking taylor expansion of a in a 9.191 * [backup-simplify]: Simplify 0 into 0 9.191 * [backup-simplify]: Simplify 1 into 1 9.191 * [taylor]: Taking taylor expansion of b in a 9.191 * [backup-simplify]: Simplify b into b 9.191 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.191 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.192 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 9.192 * [backup-simplify]: Simplify (+ 0 b) into b 9.193 * [backup-simplify]: Simplify (/ (* 1.0 PI) b) into (* 1.0 (/ PI b)) 9.193 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in a 9.193 * [taylor]: Taking taylor expansion of 0.5 in a 9.193 * [backup-simplify]: Simplify 0.5 into 0.5 9.193 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in a 9.193 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 9.193 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 9.193 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 9.193 * [taylor]: Taking taylor expansion of 1.0 in a 9.193 * [backup-simplify]: Simplify 1.0 into 1.0 9.193 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.193 * [taylor]: Taking taylor expansion of a in a 9.193 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify 1 into 1 9.193 * [backup-simplify]: Simplify (/ 1 1) into 1 9.193 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 9.193 * [taylor]: Taking taylor expansion of 1.0 in a 9.193 * [backup-simplify]: Simplify 1.0 into 1.0 9.193 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.193 * [taylor]: Taking taylor expansion of b in a 9.194 * [backup-simplify]: Simplify b into b 9.194 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.194 * [taylor]: Taking taylor expansion of PI in a 9.194 * [backup-simplify]: Simplify PI into PI 9.194 * [taylor]: Taking taylor expansion of (+ a b) in a 9.194 * [taylor]: Taking taylor expansion of a in a 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 1 into 1 9.194 * [taylor]: Taking taylor expansion of b in a 9.194 * [backup-simplify]: Simplify b into b 9.194 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.195 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.195 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 9.195 * [backup-simplify]: Simplify (+ 0 b) into b 9.196 * [backup-simplify]: Simplify (/ (* 1.0 PI) b) into (* 1.0 (/ PI b)) 9.196 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI b))) into (* 0.5 (/ PI b)) 9.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 9.196 * [taylor]: Taking taylor expansion of 0.5 in b 9.196 * [backup-simplify]: Simplify 0.5 into 0.5 9.196 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.196 * [taylor]: Taking taylor expansion of PI in b 9.196 * [backup-simplify]: Simplify PI into PI 9.196 * [taylor]: Taking taylor expansion of b in b 9.196 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify 1 into 1 9.197 * [backup-simplify]: Simplify (/ PI 1) into PI 9.197 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 9.198 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 9.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.199 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 9.199 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 9.199 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 9.199 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 9.200 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 9.201 * [backup-simplify]: Simplify (+ 1 0) into 1 9.201 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ PI b))) b) (+ (* (* 1.0 (/ PI b)) (/ 1 b)))) into (- (* 2.0 (/ PI (pow b 2)))) 9.201 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow b 2))))) (* 0 (* 1.0 (/ PI b)))) into (- (* 1.0 (/ PI (pow b 2)))) 9.201 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow b 2)))) in b 9.202 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 2))) in b 9.202 * [taylor]: Taking taylor expansion of 1.0 in b 9.202 * [backup-simplify]: Simplify 1.0 into 1.0 9.202 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.202 * [taylor]: Taking taylor expansion of PI in b 9.202 * [backup-simplify]: Simplify PI into PI 9.202 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.202 * [taylor]: Taking taylor expansion of b in b 9.202 * [backup-simplify]: Simplify 0 into 0 9.202 * [backup-simplify]: Simplify 1 into 1 9.202 * [backup-simplify]: Simplify (* 1 1) into 1 9.203 * [backup-simplify]: Simplify (/ PI 1) into PI 9.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.205 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 9.205 * [backup-simplify]: Simplify (- 0) into 0 9.205 * [backup-simplify]: Simplify 0 into 0 9.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.207 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 9.207 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.208 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 9.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.209 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 9.209 * [backup-simplify]: Simplify (- 0) into 0 9.210 * [backup-simplify]: Simplify (+ 0 0) into 0 9.211 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (* 0 PI))) into 0 9.211 * [backup-simplify]: Simplify (+ 0 0) into 0 9.212 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1.0 (/ PI b)) (/ 0 b)) (* (- (* 2.0 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2.0 (/ PI (pow b 3))) 9.212 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow b 3)))) (+ (* 0 (- (* 2.0 (/ PI (pow b 2))))) (* 0 (* 1.0 (/ PI b))))) into (* 1.0 (/ PI (pow b 3))) 9.212 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 3))) in b 9.213 * [taylor]: Taking taylor expansion of 1.0 in b 9.213 * [backup-simplify]: Simplify 1.0 into 1.0 9.213 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 9.213 * [taylor]: Taking taylor expansion of PI in b 9.213 * [backup-simplify]: Simplify PI into PI 9.213 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.213 * [taylor]: Taking taylor expansion of b in b 9.213 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify 1 into 1 9.213 * [backup-simplify]: Simplify (* 1 1) into 1 9.213 * [backup-simplify]: Simplify (* 1 1) into 1 9.214 * [backup-simplify]: Simplify (/ PI 1) into PI 9.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.220 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.220 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.228 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.228 * [backup-simplify]: Simplify (- 0) into 0 9.228 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.230 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 9.230 * [backup-simplify]: Simplify 0 into 0 9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.232 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.233 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 9.233 * [backup-simplify]: Simplify (- 0) into 0 9.234 * [backup-simplify]: Simplify (+ 0 0) into 0 9.235 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (+ (* 0 0) (* 0 PI)))) into 0 9.235 * [backup-simplify]: Simplify (+ 0 0) into 0 9.236 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1.0 (/ PI b)) (/ 0 b)) (* (- (* 2.0 (/ PI (pow b 2)))) (/ 0 b)) (* (* 2.0 (/ PI (pow b 3))) (/ 1 b)))) into (- (* 2.0 (/ PI (pow b 4)))) 9.237 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow b 4))))) (+ (* 0 (* 2.0 (/ PI (pow b 3)))) (+ (* 0 (- (* 2.0 (/ PI (pow b 2))))) (* 0 (* 1.0 (/ PI b)))))) into (- (* 1.0 (/ PI (pow b 4)))) 9.237 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow b 4)))) in b 9.237 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 4))) in b 9.237 * [taylor]: Taking taylor expansion of 1.0 in b 9.237 * [backup-simplify]: Simplify 1.0 into 1.0 9.237 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 9.237 * [taylor]: Taking taylor expansion of PI in b 9.237 * [backup-simplify]: Simplify PI into PI 9.237 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.237 * [taylor]: Taking taylor expansion of b in b 9.237 * [backup-simplify]: Simplify 0 into 0 9.237 * [backup-simplify]: Simplify 1 into 1 9.238 * [backup-simplify]: Simplify (* 1 1) into 1 9.238 * [backup-simplify]: Simplify (* 1 1) into 1 9.239 * [backup-simplify]: Simplify (/ PI 1) into PI 9.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.247 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.248 * [backup-simplify]: Simplify (- 0) into 0 9.248 * [backup-simplify]: Simplify 0 into 0 9.248 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 b) (/ 1 a))) into (* 0.5 (/ PI (* a b))) 9.249 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) 1.0) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) 9.249 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in b 9.249 * [taylor]: Taking taylor expansion of 0.5 in b 9.249 * [backup-simplify]: Simplify 0.5 into 0.5 9.250 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in b 9.250 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 9.250 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 9.250 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 9.250 * [taylor]: Taking taylor expansion of 1.0 in b 9.250 * [backup-simplify]: Simplify 1.0 into 1.0 9.250 * [taylor]: Taking taylor expansion of a in b 9.250 * [backup-simplify]: Simplify a into a 9.250 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 9.250 * [taylor]: Taking taylor expansion of 1.0 in b 9.250 * [backup-simplify]: Simplify 1.0 into 1.0 9.250 * [taylor]: Taking taylor expansion of b in b 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify 1 into 1 9.250 * [taylor]: Taking taylor expansion of PI in b 9.250 * [backup-simplify]: Simplify PI into PI 9.250 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.250 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.250 * [taylor]: Taking taylor expansion of a in b 9.250 * [backup-simplify]: Simplify a into a 9.250 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.250 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.250 * [taylor]: Taking taylor expansion of b in b 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify 1 into 1 9.251 * [backup-simplify]: Simplify (/ 1 1) into 1 9.251 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 9.251 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.252 * [backup-simplify]: Simplify (- 0) into 0 9.252 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 9.252 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 9.252 * [backup-simplify]: Simplify (+ 0 1) into 1 9.252 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 9.252 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in a 9.252 * [taylor]: Taking taylor expansion of 0.5 in a 9.252 * [backup-simplify]: Simplify 0.5 into 0.5 9.252 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in a 9.252 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 9.253 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 9.253 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 9.253 * [taylor]: Taking taylor expansion of 1.0 in a 9.253 * [backup-simplify]: Simplify 1.0 into 1.0 9.253 * [taylor]: Taking taylor expansion of a in a 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 1 into 1 9.253 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 9.253 * [taylor]: Taking taylor expansion of 1.0 in a 9.253 * [backup-simplify]: Simplify 1.0 into 1.0 9.253 * [taylor]: Taking taylor expansion of b in a 9.253 * [backup-simplify]: Simplify b into b 9.253 * [taylor]: Taking taylor expansion of PI in a 9.253 * [backup-simplify]: Simplify PI into PI 9.253 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.253 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.253 * [taylor]: Taking taylor expansion of a in a 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 1 into 1 9.253 * [backup-simplify]: Simplify (/ 1 1) into 1 9.253 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.253 * [taylor]: Taking taylor expansion of b in a 9.253 * [backup-simplify]: Simplify b into b 9.253 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.254 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.254 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 9.254 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 9.254 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 9.254 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 9.255 * [backup-simplify]: Simplify (+ 1 0) into 1 9.255 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) 1) into (* -1.0 (* b PI)) 9.255 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in a 9.255 * [taylor]: Taking taylor expansion of 0.5 in a 9.255 * [backup-simplify]: Simplify 0.5 into 0.5 9.255 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in a 9.255 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 9.255 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 9.255 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 9.255 * [taylor]: Taking taylor expansion of 1.0 in a 9.255 * [backup-simplify]: Simplify 1.0 into 1.0 9.255 * [taylor]: Taking taylor expansion of a in a 9.255 * [backup-simplify]: Simplify 0 into 0 9.255 * [backup-simplify]: Simplify 1 into 1 9.255 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 9.255 * [taylor]: Taking taylor expansion of 1.0 in a 9.255 * [backup-simplify]: Simplify 1.0 into 1.0 9.255 * [taylor]: Taking taylor expansion of b in a 9.255 * [backup-simplify]: Simplify b into b 9.255 * [taylor]: Taking taylor expansion of PI in a 9.255 * [backup-simplify]: Simplify PI into PI 9.255 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.255 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.255 * [taylor]: Taking taylor expansion of a in a 9.255 * [backup-simplify]: Simplify 0 into 0 9.255 * [backup-simplify]: Simplify 1 into 1 9.256 * [backup-simplify]: Simplify (/ 1 1) into 1 9.256 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.256 * [taylor]: Taking taylor expansion of b in a 9.256 * [backup-simplify]: Simplify b into b 9.256 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.256 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.256 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 9.256 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 9.257 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 9.257 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 9.257 * [backup-simplify]: Simplify (+ 1 0) into 1 9.257 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) 1) into (* -1.0 (* b PI)) 9.257 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (* b PI))) into (* -0.5 (* PI b)) 9.257 * [taylor]: Taking taylor expansion of (* -0.5 (* PI b)) in b 9.257 * [taylor]: Taking taylor expansion of -0.5 in b 9.257 * [backup-simplify]: Simplify -0.5 into -0.5 9.257 * [taylor]: Taking taylor expansion of (* PI b) in b 9.257 * [taylor]: Taking taylor expansion of PI in b 9.257 * [backup-simplify]: Simplify PI into PI 9.258 * [taylor]: Taking taylor expansion of b in b 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify 1 into 1 9.259 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.259 * [backup-simplify]: Simplify (* PI 0) into 0 9.261 * [backup-simplify]: Simplify (+ (* -0.5 PI) (* 0 0)) into (- (* 0.5 PI)) 9.262 * [backup-simplify]: Simplify (- (* 0.5 PI)) into (- (* 0.5 PI)) 9.263 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.264 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 9.264 * [backup-simplify]: Simplify (- 0) into 0 9.265 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.265 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (* 1.0 PI)) into (* 1.0 PI) 9.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.266 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.267 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* b PI)) (/ (/ 1 b) 1)))) into (* 2.0 PI) 9.269 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 PI)) (* 0 (* -1.0 (* b PI)))) into (* 1.0 PI) 9.269 * [taylor]: Taking taylor expansion of (* 1.0 PI) in b 9.269 * [taylor]: Taking taylor expansion of 1.0 in b 9.269 * [backup-simplify]: Simplify 1.0 into 1.0 9.269 * [taylor]: Taking taylor expansion of PI in b 9.269 * [backup-simplify]: Simplify PI into PI 9.270 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 9.270 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 9.272 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 9.272 * [backup-simplify]: Simplify 0 into 0 9.273 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.274 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 9.274 * [backup-simplify]: Simplify (- 0) into 0 9.274 * [backup-simplify]: Simplify (+ 0 0) into 0 9.275 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 9.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.276 * [backup-simplify]: Simplify (+ 0 0) into 0 9.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* b PI)) (/ 0 1)) (* (* 2.0 PI) (/ (/ 1 b) 1)))) into (- (* 2.0 (/ PI b))) 9.279 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI b)))) (+ (* 0 (* 2.0 PI)) (* 0 (* -1.0 (* b PI))))) into (- (* 1.0 (/ PI b))) 9.279 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI b))) in b 9.279 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI b)) in b 9.279 * [taylor]: Taking taylor expansion of 1.0 in b 9.279 * [backup-simplify]: Simplify 1.0 into 1.0 9.279 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.279 * [taylor]: Taking taylor expansion of PI in b 9.279 * [backup-simplify]: Simplify PI into PI 9.279 * [taylor]: Taking taylor expansion of b in b 9.279 * [backup-simplify]: Simplify 0 into 0 9.279 * [backup-simplify]: Simplify 1 into 1 9.280 * [backup-simplify]: Simplify (/ PI 1) into PI 9.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.282 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.283 * [backup-simplify]: Simplify (- 0) into 0 9.283 * [backup-simplify]: Simplify 0 into 0 9.284 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.284 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.286 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.286 * [backup-simplify]: Simplify 0 into 0 9.287 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.289 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.289 * [backup-simplify]: Simplify (- 0) into 0 9.289 * [backup-simplify]: Simplify (+ 0 0) into 0 9.290 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.292 * [backup-simplify]: Simplify (+ 0 0) into 0 9.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* b PI)) (/ 0 1)) (* (* 2.0 PI) (/ 0 1)) (* (- (* 2.0 (/ PI b))) (/ (/ 1 b) 1)))) into (* 2.0 (/ PI (pow b 2))) 9.295 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow b 2)))) (+ (* 0 (- (* 2.0 (/ PI b)))) (+ (* 0 (* 2.0 PI)) (* 0 (* -1.0 (* b PI)))))) into (* 1.0 (/ PI (pow b 2))) 9.295 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 2))) in b 9.295 * [taylor]: Taking taylor expansion of 1.0 in b 9.295 * [backup-simplify]: Simplify 1.0 into 1.0 9.295 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.295 * [taylor]: Taking taylor expansion of PI in b 9.295 * [backup-simplify]: Simplify PI into PI 9.295 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.295 * [taylor]: Taking taylor expansion of b in b 9.295 * [backup-simplify]: Simplify 0 into 0 9.295 * [backup-simplify]: Simplify 1 into 1 9.296 * [backup-simplify]: Simplify (* 1 1) into 1 9.296 * [backup-simplify]: Simplify (/ PI 1) into PI 9.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.303 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.303 * [backup-simplify]: Simplify 0 into 0 9.304 * [backup-simplify]: Simplify (* (- (* 0.5 PI)) (* (/ 1 b) (/ 1 a))) into (* -0.5 (/ PI (* a b))) 9.305 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) 1.0) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) 9.305 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.305 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) in b 9.305 * [taylor]: Taking taylor expansion of -0.5 in b 9.305 * [backup-simplify]: Simplify -0.5 into -0.5 9.305 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b))) in b 9.305 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 9.305 * [taylor]: Taking taylor expansion of PI in b 9.305 * [backup-simplify]: Simplify PI into PI 9.305 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 9.305 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 9.305 * [taylor]: Taking taylor expansion of 1.0 in b 9.305 * [backup-simplify]: Simplify 1.0 into 1.0 9.305 * [taylor]: Taking taylor expansion of b in b 9.305 * [backup-simplify]: Simplify 0 into 0 9.305 * [backup-simplify]: Simplify 1 into 1 9.305 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 9.305 * [taylor]: Taking taylor expansion of 1.0 in b 9.305 * [backup-simplify]: Simplify 1.0 into 1.0 9.305 * [taylor]: Taking taylor expansion of a in b 9.305 * [backup-simplify]: Simplify a into a 9.305 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.305 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.305 * [taylor]: Taking taylor expansion of a in b 9.305 * [backup-simplify]: Simplify a into a 9.306 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.306 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.306 * [taylor]: Taking taylor expansion of b in b 9.306 * [backup-simplify]: Simplify 0 into 0 9.306 * [backup-simplify]: Simplify 1 into 1 9.306 * [backup-simplify]: Simplify (/ 1 1) into 1 9.306 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.306 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 9.307 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 9.307 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 9.307 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 9.307 * [backup-simplify]: Simplify (+ 0 1) into 1 9.307 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 9.307 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) in a 9.307 * [taylor]: Taking taylor expansion of -0.5 in a 9.307 * [backup-simplify]: Simplify -0.5 into -0.5 9.307 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b))) in a 9.307 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 9.307 * [taylor]: Taking taylor expansion of PI in a 9.307 * [backup-simplify]: Simplify PI into PI 9.308 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 9.308 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 9.308 * [taylor]: Taking taylor expansion of 1.0 in a 9.308 * [backup-simplify]: Simplify 1.0 into 1.0 9.308 * [taylor]: Taking taylor expansion of b in a 9.308 * [backup-simplify]: Simplify b into b 9.308 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 9.308 * [taylor]: Taking taylor expansion of 1.0 in a 9.308 * [backup-simplify]: Simplify 1.0 into 1.0 9.308 * [taylor]: Taking taylor expansion of a in a 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 1 into 1 9.308 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.308 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.308 * [taylor]: Taking taylor expansion of a in a 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 1 into 1 9.308 * [backup-simplify]: Simplify (/ 1 1) into 1 9.308 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.308 * [taylor]: Taking taylor expansion of b in a 9.308 * [backup-simplify]: Simplify b into b 9.308 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.308 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 9.309 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.309 * [backup-simplify]: Simplify (- 0) into 0 9.309 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 9.309 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 9.310 * [backup-simplify]: Simplify (+ 1 0) into 1 9.310 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 9.310 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) in a 9.310 * [taylor]: Taking taylor expansion of -0.5 in a 9.310 * [backup-simplify]: Simplify -0.5 into -0.5 9.310 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b))) in a 9.310 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 9.310 * [taylor]: Taking taylor expansion of PI in a 9.310 * [backup-simplify]: Simplify PI into PI 9.310 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 9.310 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 9.310 * [taylor]: Taking taylor expansion of 1.0 in a 9.310 * [backup-simplify]: Simplify 1.0 into 1.0 9.310 * [taylor]: Taking taylor expansion of b in a 9.310 * [backup-simplify]: Simplify b into b 9.310 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 9.310 * [taylor]: Taking taylor expansion of 1.0 in a 9.310 * [backup-simplify]: Simplify 1.0 into 1.0 9.310 * [taylor]: Taking taylor expansion of a in a 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.310 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.310 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.310 * [taylor]: Taking taylor expansion of a in a 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 1 into 1 9.311 * [backup-simplify]: Simplify (/ 1 1) into 1 9.311 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.311 * [taylor]: Taking taylor expansion of b in a 9.311 * [backup-simplify]: Simplify b into b 9.311 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.311 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 9.311 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.312 * [backup-simplify]: Simplify (- 0) into 0 9.312 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 9.312 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 9.312 * [backup-simplify]: Simplify (+ 1 0) into 1 9.313 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 9.313 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* PI b))) into (* -0.5 (* b PI)) 9.313 * [taylor]: Taking taylor expansion of (* -0.5 (* b PI)) in b 9.313 * [taylor]: Taking taylor expansion of -0.5 in b 9.313 * [backup-simplify]: Simplify -0.5 into -0.5 9.313 * [taylor]: Taking taylor expansion of (* b PI) in b 9.313 * [taylor]: Taking taylor expansion of b in b 9.313 * [backup-simplify]: Simplify 0 into 0 9.313 * [backup-simplify]: Simplify 1 into 1 9.313 * [taylor]: Taking taylor expansion of PI in b 9.313 * [backup-simplify]: Simplify PI into PI 9.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.315 * [backup-simplify]: Simplify (* 0 PI) into 0 9.316 * [backup-simplify]: Simplify (+ (* -0.5 PI) (* 0 0)) into (- (* 0.5 PI)) 9.317 * [backup-simplify]: Simplify (- (* 0.5 PI)) into (- (* 0.5 PI)) 9.318 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 9.319 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.320 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.320 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 9.321 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 (* 1.0 b))) into (- (* 1.0 PI)) 9.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.322 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.324 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* PI b)) (/ (/ 1 b) 1)))) into (- (* 2.0 PI)) 9.326 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2.0 PI))) (* 0 (* 1.0 (* PI b)))) into (* 1.0 PI) 9.326 * [taylor]: Taking taylor expansion of (* 1.0 PI) in b 9.326 * [taylor]: Taking taylor expansion of 1.0 in b 9.326 * [backup-simplify]: Simplify 1.0 into 1.0 9.326 * [taylor]: Taking taylor expansion of PI in b 9.326 * [backup-simplify]: Simplify PI into PI 9.327 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 9.327 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.329 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 9.329 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 9.331 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.331 * [backup-simplify]: Simplify (- 0) into 0 9.331 * [backup-simplify]: Simplify (+ 0 0) into 0 9.332 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b)))) into 0 9.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.334 * [backup-simplify]: Simplify (+ 0 0) into 0 9.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)) (* (- (* 2.0 PI)) (/ (/ 1 b) 1)))) into (* 2.0 (/ PI b)) 9.337 * [backup-simplify]: Simplify (+ (* -0.5 (* 2.0 (/ PI b))) (+ (* 0 (- (* 2.0 PI))) (* 0 (* 1.0 (* PI b))))) into (- (* 1.0 (/ PI b))) 9.337 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI b))) in b 9.337 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI b)) in b 9.337 * [taylor]: Taking taylor expansion of 1.0 in b 9.337 * [backup-simplify]: Simplify 1.0 into 1.0 9.337 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.337 * [taylor]: Taking taylor expansion of PI in b 9.337 * [backup-simplify]: Simplify PI into PI 9.337 * [taylor]: Taking taylor expansion of b in b 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify 1 into 1 9.337 * [backup-simplify]: Simplify (/ PI 1) into PI 9.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.340 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.341 * [backup-simplify]: Simplify (- 0) into 0 9.341 * [backup-simplify]: Simplify 0 into 0 9.342 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.342 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.344 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.344 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.347 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.347 * [backup-simplify]: Simplify (- 0) into 0 9.347 * [backup-simplify]: Simplify (+ 0 0) into 0 9.349 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b))))) into 0 9.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.350 * [backup-simplify]: Simplify (+ 0 0) into 0 9.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)) (* (- (* 2.0 PI)) (/ 0 1)) (* (* 2.0 (/ PI b)) (/ (/ 1 b) 1)))) into (- (* 2.0 (/ PI (pow b 2)))) 9.354 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2.0 (/ PI (pow b 2))))) (+ (* 0 (* 2.0 (/ PI b))) (+ (* 0 (- (* 2.0 PI))) (* 0 (* 1.0 (* PI b)))))) into (* 1.0 (/ PI (pow b 2))) 9.354 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 2))) in b 9.354 * [taylor]: Taking taylor expansion of 1.0 in b 9.354 * [backup-simplify]: Simplify 1.0 into 1.0 9.354 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.354 * [taylor]: Taking taylor expansion of PI in b 9.355 * [backup-simplify]: Simplify PI into PI 9.355 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.355 * [taylor]: Taking taylor expansion of b in b 9.355 * [backup-simplify]: Simplify 0 into 0 9.355 * [backup-simplify]: Simplify 1 into 1 9.355 * [backup-simplify]: Simplify (* 1 1) into 1 9.356 * [backup-simplify]: Simplify (/ PI 1) into PI 9.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.363 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.363 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify (* (- (* 0.5 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ PI (* a b))) 9.368 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 9.369 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ a b)) into (* 0.5 (/ PI (+ a b))) 9.369 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (a b) around 0 9.369 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 9.369 * [taylor]: Taking taylor expansion of 0.5 in b 9.369 * [backup-simplify]: Simplify 0.5 into 0.5 9.369 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 9.369 * [taylor]: Taking taylor expansion of PI in b 9.369 * [backup-simplify]: Simplify PI into PI 9.369 * [taylor]: Taking taylor expansion of (+ a b) in b 9.369 * [taylor]: Taking taylor expansion of a in b 9.369 * [backup-simplify]: Simplify a into a 9.369 * [taylor]: Taking taylor expansion of b in b 9.369 * [backup-simplify]: Simplify 0 into 0 9.369 * [backup-simplify]: Simplify 1 into 1 9.369 * [backup-simplify]: Simplify (+ a 0) into a 9.369 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 9.369 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 9.369 * [taylor]: Taking taylor expansion of 0.5 in a 9.369 * [backup-simplify]: Simplify 0.5 into 0.5 9.369 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 9.369 * [taylor]: Taking taylor expansion of PI in a 9.369 * [backup-simplify]: Simplify PI into PI 9.369 * [taylor]: Taking taylor expansion of (+ a b) in a 9.369 * [taylor]: Taking taylor expansion of a in a 9.370 * [backup-simplify]: Simplify 0 into 0 9.370 * [backup-simplify]: Simplify 1 into 1 9.370 * [taylor]: Taking taylor expansion of b in a 9.370 * [backup-simplify]: Simplify b into b 9.370 * [backup-simplify]: Simplify (+ 0 b) into b 9.370 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.370 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 9.370 * [taylor]: Taking taylor expansion of 0.5 in a 9.370 * [backup-simplify]: Simplify 0.5 into 0.5 9.370 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 9.370 * [taylor]: Taking taylor expansion of PI in a 9.370 * [backup-simplify]: Simplify PI into PI 9.370 * [taylor]: Taking taylor expansion of (+ a b) in a 9.370 * [taylor]: Taking taylor expansion of a in a 9.370 * [backup-simplify]: Simplify 0 into 0 9.370 * [backup-simplify]: Simplify 1 into 1 9.370 * [taylor]: Taking taylor expansion of b in a 9.370 * [backup-simplify]: Simplify b into b 9.370 * [backup-simplify]: Simplify (+ 0 b) into b 9.370 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.370 * [backup-simplify]: Simplify (* 0.5 (/ PI b)) into (* 0.5 (/ PI b)) 9.370 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 9.370 * [taylor]: Taking taylor expansion of 0.5 in b 9.370 * [backup-simplify]: Simplify 0.5 into 0.5 9.370 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.370 * [taylor]: Taking taylor expansion of PI in b 9.370 * [backup-simplify]: Simplify PI into PI 9.370 * [taylor]: Taking taylor expansion of b in b 9.370 * [backup-simplify]: Simplify 0 into 0 9.370 * [backup-simplify]: Simplify 1 into 1 9.371 * [backup-simplify]: Simplify (/ PI 1) into PI 9.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.373 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 9.373 * [backup-simplify]: Simplify 0 into 0 9.373 * [backup-simplify]: Simplify (+ 1 0) into 1 9.373 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 9.374 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 0.5 (/ PI (pow b 2)))) 9.374 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 9.374 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 9.374 * [taylor]: Taking taylor expansion of 0.5 in b 9.374 * [backup-simplify]: Simplify 0.5 into 0.5 9.374 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.374 * [taylor]: Taking taylor expansion of PI in b 9.374 * [backup-simplify]: Simplify PI into PI 9.374 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.374 * [taylor]: Taking taylor expansion of b in b 9.374 * [backup-simplify]: Simplify 0 into 0 9.374 * [backup-simplify]: Simplify 1 into 1 9.374 * [backup-simplify]: Simplify (* 1 1) into 1 9.375 * [backup-simplify]: Simplify (/ PI 1) into PI 9.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.379 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 9.379 * [backup-simplify]: Simplify (- 0) into 0 9.379 * [backup-simplify]: Simplify 0 into 0 9.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.381 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 9.381 * [backup-simplify]: Simplify 0 into 0 9.382 * [backup-simplify]: Simplify (+ 0 0) into 0 9.382 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 9.383 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 0.5 (/ PI (pow b 3))) 9.383 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 9.383 * [taylor]: Taking taylor expansion of 0.5 in b 9.383 * [backup-simplify]: Simplify 0.5 into 0.5 9.383 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) 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 3) 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 9.383 * [backup-simplify]: Simplify (* 1 1) into 1 9.383 * [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 0) (* 0 1))) into 0 9.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.393 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.393 * [backup-simplify]: Simplify 0 into 0 9.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.397 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.397 * [backup-simplify]: Simplify (- 0) into 0 9.397 * [backup-simplify]: Simplify 0 into 0 9.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.399 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.399 * [backup-simplify]: Simplify 0 into 0 9.399 * [backup-simplify]: Simplify 0 into 0 9.400 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 9.400 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.400 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 9.400 * [taylor]: Taking taylor expansion of 0.5 in b 9.400 * [backup-simplify]: Simplify 0.5 into 0.5 9.400 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 9.400 * [taylor]: Taking taylor expansion of PI in b 9.400 * [backup-simplify]: Simplify PI into PI 9.400 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.400 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.400 * [taylor]: Taking taylor expansion of a in b 9.400 * [backup-simplify]: Simplify a into a 9.401 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.401 * [taylor]: Taking taylor expansion of (/ 1 b) in b 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 9.401 * [backup-simplify]: Simplify (/ 1 1) into 1 9.401 * [backup-simplify]: Simplify (+ 0 1) into 1 9.402 * [backup-simplify]: Simplify (/ PI 1) into PI 9.402 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 9.402 * [taylor]: Taking taylor expansion of 0.5 in a 9.402 * [backup-simplify]: Simplify 0.5 into 0.5 9.402 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 9.402 * [taylor]: Taking taylor expansion of PI in a 9.402 * [backup-simplify]: Simplify PI into PI 9.403 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.403 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.403 * [taylor]: Taking taylor expansion of a in a 9.403 * [backup-simplify]: Simplify 0 into 0 9.403 * [backup-simplify]: Simplify 1 into 1 9.403 * [backup-simplify]: Simplify (/ 1 1) into 1 9.403 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.403 * [taylor]: Taking taylor expansion of b in a 9.403 * [backup-simplify]: Simplify b into b 9.403 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.404 * [backup-simplify]: Simplify (+ 1 0) into 1 9.404 * [backup-simplify]: Simplify (/ PI 1) into PI 9.404 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 9.404 * [taylor]: Taking taylor expansion of 0.5 in a 9.404 * [backup-simplify]: Simplify 0.5 into 0.5 9.404 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 9.404 * [taylor]: Taking taylor expansion of PI in a 9.404 * [backup-simplify]: Simplify PI into PI 9.404 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.404 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.404 * [taylor]: Taking taylor expansion of a in a 9.404 * [backup-simplify]: Simplify 0 into 0 9.404 * [backup-simplify]: Simplify 1 into 1 9.405 * [backup-simplify]: Simplify (/ 1 1) into 1 9.405 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.405 * [taylor]: Taking taylor expansion of b in a 9.405 * [backup-simplify]: Simplify b into b 9.405 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.405 * [backup-simplify]: Simplify (+ 1 0) into 1 9.406 * [backup-simplify]: Simplify (/ PI 1) into PI 9.406 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 9.406 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 9.406 * [taylor]: Taking taylor expansion of 0.5 in b 9.406 * [backup-simplify]: Simplify 0.5 into 0.5 9.406 * [taylor]: Taking taylor expansion of PI in b 9.406 * [backup-simplify]: Simplify PI into PI 9.407 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 9.407 * [backup-simplify]: Simplify 0 into 0 9.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.408 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 9.409 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI b))) (* 0 PI)) into (- (* 0.5 (/ PI b))) 9.409 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 9.409 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 9.409 * [taylor]: Taking taylor expansion of 0.5 in b 9.409 * [backup-simplify]: Simplify 0.5 into 0.5 9.409 * [taylor]: Taking taylor expansion of (/ PI b) 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 b in b 9.409 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify 1 into 1 9.410 * [backup-simplify]: Simplify (/ PI 1) into PI 9.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 9.413 * [backup-simplify]: Simplify (- 0) into 0 9.413 * [backup-simplify]: Simplify 0 into 0 9.415 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 9.415 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.416 * [backup-simplify]: Simplify (+ 0 0) into 0 9.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 9.418 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 0.5 (/ PI (pow b 2))) 9.418 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 9.418 * [taylor]: Taking taylor expansion of 0.5 in b 9.418 * [backup-simplify]: Simplify 0.5 into 0.5 9.418 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.419 * [taylor]: Taking taylor expansion of PI in b 9.419 * [backup-simplify]: Simplify PI into PI 9.419 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.419 * [taylor]: Taking taylor expansion of b in b 9.419 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify 1 into 1 9.419 * [backup-simplify]: Simplify (* 1 1) into 1 9.420 * [backup-simplify]: Simplify (/ PI 1) into PI 9.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.427 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.429 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.430 * [backup-simplify]: Simplify (- 0) into 0 9.430 * [backup-simplify]: Simplify 0 into 0 9.430 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.430 * [backup-simplify]: Simplify 0 into 0 9.430 * [backup-simplify]: Simplify 0 into 0 9.431 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 9.431 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.431 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 9.431 * [taylor]: Taking taylor expansion of -0.5 in b 9.431 * [backup-simplify]: Simplify -0.5 into -0.5 9.431 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 9.431 * [taylor]: Taking taylor expansion of PI in b 9.431 * [backup-simplify]: Simplify PI into PI 9.431 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.431 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.431 * [taylor]: Taking taylor expansion of a in b 9.431 * [backup-simplify]: Simplify a into a 9.431 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.431 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.431 * [taylor]: Taking taylor expansion of b in b 9.431 * [backup-simplify]: Simplify 0 into 0 9.431 * [backup-simplify]: Simplify 1 into 1 9.431 * [backup-simplify]: Simplify (/ 1 1) into 1 9.432 * [backup-simplify]: Simplify (+ 0 1) into 1 9.432 * [backup-simplify]: Simplify (/ PI 1) into PI 9.432 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 9.432 * [taylor]: Taking taylor expansion of -0.5 in a 9.432 * [backup-simplify]: Simplify -0.5 into -0.5 9.432 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 9.432 * [taylor]: Taking taylor expansion of PI in a 9.432 * [backup-simplify]: Simplify PI into PI 9.432 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.432 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.432 * [taylor]: Taking taylor expansion of a in a 9.432 * [backup-simplify]: Simplify 0 into 0 9.432 * [backup-simplify]: Simplify 1 into 1 9.432 * [backup-simplify]: Simplify (/ 1 1) into 1 9.432 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.432 * [taylor]: Taking taylor expansion of b in a 9.432 * [backup-simplify]: Simplify b into b 9.433 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.433 * [backup-simplify]: Simplify (+ 1 0) into 1 9.433 * [backup-simplify]: Simplify (/ PI 1) into PI 9.433 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 9.433 * [taylor]: Taking taylor expansion of -0.5 in a 9.433 * [backup-simplify]: Simplify -0.5 into -0.5 9.433 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 9.433 * [taylor]: Taking taylor expansion of PI in a 9.433 * [backup-simplify]: Simplify PI into PI 9.433 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.433 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.433 * [taylor]: Taking taylor expansion of a in a 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify 1 into 1 9.434 * [backup-simplify]: Simplify (/ 1 1) into 1 9.434 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.434 * [taylor]: Taking taylor expansion of b in a 9.434 * [backup-simplify]: Simplify b into b 9.434 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.434 * [backup-simplify]: Simplify (+ 1 0) into 1 9.434 * [backup-simplify]: Simplify (/ PI 1) into PI 9.435 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 9.435 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 9.435 * [taylor]: Taking taylor expansion of -0.5 in b 9.435 * [backup-simplify]: Simplify -0.5 into -0.5 9.435 * [taylor]: Taking taylor expansion of PI in b 9.435 * [backup-simplify]: Simplify PI into PI 9.435 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 9.435 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.436 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 9.436 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI b))) (* 0 PI)) into (* 0.5 (/ PI b)) 9.436 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 9.436 * [taylor]: Taking taylor expansion of 0.5 in b 9.436 * [backup-simplify]: Simplify 0.5 into 0.5 9.436 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.436 * [taylor]: Taking taylor expansion of PI in b 9.436 * [backup-simplify]: Simplify PI into PI 9.436 * [taylor]: Taking taylor expansion of b in b 9.436 * [backup-simplify]: Simplify 0 into 0 9.436 * [backup-simplify]: Simplify 1 into 1 9.437 * [backup-simplify]: Simplify (/ PI 1) into PI 9.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.438 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 9.439 * [backup-simplify]: Simplify 0 into 0 9.439 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 9.439 * [backup-simplify]: Simplify 0 into 0 9.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.440 * [backup-simplify]: Simplify (+ 0 0) into 0 9.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 9.441 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 0.5 (/ PI (pow b 2)))) 9.441 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 9.441 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 9.441 * [taylor]: Taking taylor expansion of 0.5 in b 9.441 * [backup-simplify]: Simplify 0.5 into 0.5 9.441 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.441 * [taylor]: Taking taylor expansion of PI in b 9.441 * [backup-simplify]: Simplify PI into PI 9.441 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.441 * [taylor]: Taking taylor expansion of b in b 9.441 * [backup-simplify]: Simplify 0 into 0 9.441 * [backup-simplify]: Simplify 1 into 1 9.442 * [backup-simplify]: Simplify (* 1 1) into 1 9.442 * [backup-simplify]: Simplify (/ PI 1) into PI 9.443 * [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 9.445 * [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 (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.446 * [backup-simplify]: Simplify (- 0) into 0 9.446 * [backup-simplify]: Simplify 0 into 0 9.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.447 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.447 * [backup-simplify]: Simplify 0 into 0 9.448 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.448 * [backup-simplify]: Simplify 0 into 0 9.448 * [backup-simplify]: Simplify 0 into 0 9.448 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.449 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (- b a)) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) 9.449 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in (a b) around 0 9.449 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in b 9.449 * [taylor]: Taking taylor expansion of 0.5 in b 9.449 * [backup-simplify]: Simplify 0.5 into 0.5 9.449 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 9.449 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 9.449 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 9.449 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 9.449 * [taylor]: Taking taylor expansion of 1.0 in b 9.449 * [backup-simplify]: Simplify 1.0 into 1.0 9.449 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.449 * [taylor]: Taking taylor expansion of a in b 9.449 * [backup-simplify]: Simplify a into a 9.449 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.449 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 9.449 * [taylor]: Taking taylor expansion of 1.0 in b 9.449 * [backup-simplify]: Simplify 1.0 into 1.0 9.449 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.449 * [taylor]: Taking taylor expansion of b in b 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify 1 into 1 9.449 * [backup-simplify]: Simplify (/ 1 1) into 1 9.449 * [taylor]: Taking taylor expansion of PI in b 9.449 * [backup-simplify]: Simplify PI into PI 9.449 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 9.449 * [taylor]: Taking taylor expansion of (- b a) in b 9.449 * [taylor]: Taking taylor expansion of b in b 9.449 * [backup-simplify]: Simplify 0 into 0 9.449 * [backup-simplify]: Simplify 1 into 1 9.450 * [taylor]: Taking taylor expansion of a in b 9.450 * [backup-simplify]: Simplify a into a 9.450 * [taylor]: Taking taylor expansion of (+ a b) in b 9.450 * [taylor]: Taking taylor expansion of a in b 9.450 * [backup-simplify]: Simplify a into a 9.450 * [taylor]: Taking taylor expansion of b in b 9.450 * [backup-simplify]: Simplify 0 into 0 9.450 * [backup-simplify]: Simplify 1 into 1 9.450 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.450 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.451 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 9.451 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 9.451 * [backup-simplify]: Simplify (- a) into (- a) 9.451 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 9.451 * [backup-simplify]: Simplify (+ a 0) into a 9.451 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 9.452 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 9.452 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 9.452 * [taylor]: Taking taylor expansion of 0.5 in a 9.452 * [backup-simplify]: Simplify 0.5 into 0.5 9.452 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 9.452 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 9.452 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 9.452 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 9.452 * [taylor]: Taking taylor expansion of 1.0 in a 9.452 * [backup-simplify]: Simplify 1.0 into 1.0 9.452 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.452 * [taylor]: Taking taylor expansion of a in a 9.452 * [backup-simplify]: Simplify 0 into 0 9.452 * [backup-simplify]: Simplify 1 into 1 9.453 * [backup-simplify]: Simplify (/ 1 1) into 1 9.453 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 9.453 * [taylor]: Taking taylor expansion of 1.0 in a 9.453 * [backup-simplify]: Simplify 1.0 into 1.0 9.453 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.453 * [taylor]: Taking taylor expansion of b in a 9.453 * [backup-simplify]: Simplify b into b 9.453 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.453 * [taylor]: Taking taylor expansion of PI in a 9.453 * [backup-simplify]: Simplify PI into PI 9.453 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 9.453 * [taylor]: Taking taylor expansion of (- b a) in a 9.453 * [taylor]: Taking taylor expansion of b in a 9.453 * [backup-simplify]: Simplify b into b 9.453 * [taylor]: Taking taylor expansion of a in a 9.453 * [backup-simplify]: Simplify 0 into 0 9.453 * [backup-simplify]: Simplify 1 into 1 9.453 * [taylor]: Taking taylor expansion of (+ a b) in a 9.453 * [taylor]: Taking taylor expansion of a in a 9.453 * [backup-simplify]: Simplify 0 into 0 9.453 * [backup-simplify]: Simplify 1 into 1 9.453 * [taylor]: Taking taylor expansion of b in a 9.453 * [backup-simplify]: Simplify b into b 9.453 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.453 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.454 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 9.454 * [backup-simplify]: Simplify (- 0) into 0 9.454 * [backup-simplify]: Simplify (+ b 0) into b 9.454 * [backup-simplify]: Simplify (+ 0 b) into b 9.454 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.454 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 9.454 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 9.455 * [taylor]: Taking taylor expansion of 0.5 in a 9.455 * [backup-simplify]: Simplify 0.5 into 0.5 9.455 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 9.455 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 9.455 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 9.455 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 9.455 * [taylor]: Taking taylor expansion of 1.0 in a 9.455 * [backup-simplify]: Simplify 1.0 into 1.0 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 (* 1.0 (/ 1 b)) in a 9.455 * [taylor]: Taking taylor expansion of 1.0 in a 9.455 * [backup-simplify]: Simplify 1.0 into 1.0 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 * [taylor]: Taking taylor expansion of PI in a 9.455 * [backup-simplify]: Simplify PI into PI 9.455 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 9.455 * [taylor]: Taking taylor expansion of (- b a) 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 a in a 9.455 * [backup-simplify]: Simplify 0 into 0 9.455 * [backup-simplify]: Simplify 1 into 1 9.455 * [taylor]: Taking taylor expansion of (+ a b) 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 * [taylor]: Taking taylor expansion of b in a 9.455 * [backup-simplify]: Simplify b into b 9.456 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.456 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.456 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 9.456 * [backup-simplify]: Simplify (- 0) into 0 9.456 * [backup-simplify]: Simplify (+ b 0) into b 9.456 * [backup-simplify]: Simplify (+ 0 b) into b 9.457 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.457 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 9.457 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow b 2)))) into (* 0.5 (/ PI (pow b 2))) 9.457 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 9.457 * [taylor]: Taking taylor expansion of 0.5 in b 9.457 * [backup-simplify]: Simplify 0.5 into 0.5 9.457 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) 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 (pow b 2) in b 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 (* 1 1) into 1 9.458 * [backup-simplify]: Simplify (/ PI 1) into PI 9.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.459 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.460 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 9.460 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 9.460 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 9.460 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 9.461 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 9.461 * [backup-simplify]: Simplify (+ 1 0) into 1 9.461 * [backup-simplify]: Simplify (- 1) into -1 9.461 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.461 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 9.462 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ PI b))) (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1.0 (/ PI (pow b 3)))) 9.462 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2))))) into (- (* 0.5 (/ PI (pow b 3)))) 9.462 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 3)))) in b 9.462 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 9.462 * [taylor]: Taking taylor expansion of 0.5 in b 9.462 * [backup-simplify]: Simplify 0.5 into 0.5 9.462 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 9.462 * [taylor]: Taking taylor expansion of PI in b 9.462 * [backup-simplify]: Simplify PI into PI 9.462 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.462 * [taylor]: Taking taylor expansion of b in b 9.463 * [backup-simplify]: Simplify 0 into 0 9.463 * [backup-simplify]: Simplify 1 into 1 9.463 * [backup-simplify]: Simplify (* 1 1) into 1 9.463 * [backup-simplify]: Simplify (* 1 1) into 1 9.464 * [backup-simplify]: Simplify (/ PI 1) into PI 9.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.470 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 9.471 * [backup-simplify]: Simplify (- 0) into 0 9.471 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.474 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 9.474 * [backup-simplify]: Simplify 0 into 0 9.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.476 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 9.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.476 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 9.477 * [backup-simplify]: Simplify (- 0) into 0 9.477 * [backup-simplify]: Simplify (+ 0 0) into 0 9.478 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (* 0 PI))) into 0 9.478 * [backup-simplify]: Simplify (+ 0 0) into 0 9.479 * [backup-simplify]: Simplify (- 0) into 0 9.479 * [backup-simplify]: Simplify (+ 0 0) into 0 9.479 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 9.481 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1.0 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1.0 (/ PI (pow b 4))) 9.481 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow b 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2)))))) into (* 0.5 (/ PI (pow b 4))) 9.481 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 9.481 * [taylor]: Taking taylor expansion of 0.5 in b 9.481 * [backup-simplify]: Simplify 0.5 into 0.5 9.481 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 9.481 * [taylor]: Taking taylor expansion of PI in b 9.481 * [backup-simplify]: Simplify PI into PI 9.481 * [taylor]: Taking taylor expansion of (pow b 4) in b 9.482 * [taylor]: Taking taylor expansion of b in b 9.482 * [backup-simplify]: Simplify 0 into 0 9.482 * [backup-simplify]: Simplify 1 into 1 9.482 * [backup-simplify]: Simplify (* 1 1) into 1 9.482 * [backup-simplify]: Simplify (* 1 1) into 1 9.483 * [backup-simplify]: Simplify (/ PI 1) into PI 9.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.492 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.492 * [backup-simplify]: Simplify 0 into 0 9.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.499 * [backup-simplify]: Simplify (+ (* 0.5 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.503 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.503 * [backup-simplify]: Simplify 0 into 0 9.503 * [backup-simplify]: Simplify 0 into 0 9.504 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) 1.0) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 9.504 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 9.504 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 9.504 * [taylor]: Taking taylor expansion of 0.5 in b 9.504 * [backup-simplify]: Simplify 0.5 into 0.5 9.504 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 9.505 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 9.505 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 9.505 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 9.505 * [taylor]: Taking taylor expansion of 1.0 in b 9.505 * [backup-simplify]: Simplify 1.0 into 1.0 9.505 * [taylor]: Taking taylor expansion of a in b 9.505 * [backup-simplify]: Simplify a into a 9.505 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 9.505 * [taylor]: Taking taylor expansion of 1.0 in b 9.505 * [backup-simplify]: Simplify 1.0 into 1.0 9.505 * [taylor]: Taking taylor expansion of b in b 9.505 * [backup-simplify]: Simplify 0 into 0 9.505 * [backup-simplify]: Simplify 1 into 1 9.505 * [taylor]: Taking taylor expansion of PI in b 9.505 * [backup-simplify]: Simplify PI into PI 9.505 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 9.505 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.505 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.505 * [taylor]: Taking taylor expansion of a in b 9.505 * [backup-simplify]: Simplify a into a 9.505 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.505 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.505 * [taylor]: Taking taylor expansion of b in b 9.505 * [backup-simplify]: Simplify 0 into 0 9.505 * [backup-simplify]: Simplify 1 into 1 9.506 * [backup-simplify]: Simplify (/ 1 1) into 1 9.506 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 9.506 * [taylor]: Taking taylor expansion of (/ 1 b) 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 9.506 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.506 * [taylor]: Taking taylor expansion of a in b 9.506 * [backup-simplify]: Simplify a into a 9.506 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.506 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 9.506 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.507 * [backup-simplify]: Simplify (- 0) into 0 9.507 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 9.507 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 9.507 * [backup-simplify]: Simplify (+ 0 1) into 1 9.507 * [backup-simplify]: Simplify (+ 1 0) into 1 9.508 * [backup-simplify]: Simplify (* 1 1) into 1 9.508 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 9.508 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 9.508 * [taylor]: Taking taylor expansion of 0.5 in a 9.508 * [backup-simplify]: Simplify 0.5 into 0.5 9.508 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 9.508 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 9.508 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 9.508 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 9.508 * [taylor]: Taking taylor expansion of 1.0 in a 9.508 * [backup-simplify]: Simplify 1.0 into 1.0 9.508 * [taylor]: Taking taylor expansion of a in a 9.508 * [backup-simplify]: Simplify 0 into 0 9.508 * [backup-simplify]: Simplify 1 into 1 9.508 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 9.508 * [taylor]: Taking taylor expansion of 1.0 in a 9.508 * [backup-simplify]: Simplify 1.0 into 1.0 9.508 * [taylor]: Taking taylor expansion of b in a 9.508 * [backup-simplify]: Simplify b into b 9.508 * [taylor]: Taking taylor expansion of PI in a 9.508 * [backup-simplify]: Simplify PI into PI 9.508 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 9.508 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.508 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.508 * [taylor]: Taking taylor expansion of a in a 9.508 * [backup-simplify]: Simplify 0 into 0 9.508 * [backup-simplify]: Simplify 1 into 1 9.508 * [backup-simplify]: Simplify (/ 1 1) into 1 9.508 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.508 * [taylor]: Taking taylor expansion of b in a 9.508 * [backup-simplify]: Simplify b into b 9.508 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.508 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 9.508 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.508 * [taylor]: Taking taylor expansion of b in a 9.508 * [backup-simplify]: Simplify b into b 9.508 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.508 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.508 * [taylor]: Taking taylor expansion of a in a 9.508 * [backup-simplify]: Simplify 0 into 0 9.509 * [backup-simplify]: Simplify 1 into 1 9.509 * [backup-simplify]: Simplify (/ 1 1) into 1 9.509 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.509 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 9.509 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 9.509 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 9.509 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 9.509 * [backup-simplify]: Simplify (+ 1 0) into 1 9.510 * [backup-simplify]: Simplify (- 1) into -1 9.510 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.510 * [backup-simplify]: Simplify (* 1 -1) into -1 9.510 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 9.510 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 9.510 * [taylor]: Taking taylor expansion of 0.5 in a 9.510 * [backup-simplify]: Simplify 0.5 into 0.5 9.510 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 9.510 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 9.510 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 9.510 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 9.510 * [taylor]: Taking taylor expansion of 1.0 in a 9.510 * [backup-simplify]: Simplify 1.0 into 1.0 9.510 * [taylor]: Taking taylor expansion of a in a 9.511 * [backup-simplify]: Simplify 0 into 0 9.511 * [backup-simplify]: Simplify 1 into 1 9.511 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 9.511 * [taylor]: Taking taylor expansion of 1.0 in a 9.511 * [backup-simplify]: Simplify 1.0 into 1.0 9.511 * [taylor]: Taking taylor expansion of b in a 9.511 * [backup-simplify]: Simplify b into b 9.511 * [taylor]: Taking taylor expansion of PI in a 9.511 * [backup-simplify]: Simplify PI into PI 9.511 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 9.511 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.511 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.511 * [taylor]: Taking taylor expansion of a in a 9.511 * [backup-simplify]: Simplify 0 into 0 9.511 * [backup-simplify]: Simplify 1 into 1 9.511 * [backup-simplify]: Simplify (/ 1 1) into 1 9.511 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.511 * [taylor]: Taking taylor expansion of b in a 9.511 * [backup-simplify]: Simplify b into b 9.511 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.511 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 9.511 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.511 * [taylor]: Taking taylor expansion of b in a 9.511 * [backup-simplify]: Simplify b into b 9.511 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.511 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.511 * [taylor]: Taking taylor expansion of a in a 9.511 * [backup-simplify]: Simplify 0 into 0 9.511 * [backup-simplify]: Simplify 1 into 1 9.511 * [backup-simplify]: Simplify (/ 1 1) into 1 9.512 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.512 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 9.512 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 9.512 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 9.512 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 9.512 * [backup-simplify]: Simplify (+ 1 0) into 1 9.512 * [backup-simplify]: Simplify (- 1) into -1 9.513 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.513 * [backup-simplify]: Simplify (* 1 -1) into -1 9.513 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 9.513 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* b PI))) into (* 0.5 (* PI b)) 9.513 * [taylor]: Taking taylor expansion of (* 0.5 (* PI b)) in b 9.513 * [taylor]: Taking taylor expansion of 0.5 in b 9.513 * [backup-simplify]: Simplify 0.5 into 0.5 9.513 * [taylor]: Taking taylor expansion of (* PI b) in b 9.513 * [taylor]: Taking taylor expansion of PI in b 9.513 * [backup-simplify]: Simplify PI into PI 9.513 * [taylor]: Taking taylor expansion of b in b 9.513 * [backup-simplify]: Simplify 0 into 0 9.513 * [backup-simplify]: Simplify 1 into 1 9.514 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 9.515 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 9.515 * [backup-simplify]: Simplify (* PI 0) into 0 9.516 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 9.516 * [backup-simplify]: Simplify 0 into 0 9.517 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.517 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 9.517 * [backup-simplify]: Simplify (- 0) into 0 9.517 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.518 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (* 1.0 PI)) into (* 1.0 PI) 9.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.518 * [backup-simplify]: Simplify (- 0) into 0 9.518 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 9.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.519 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.519 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 9.520 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* b PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 9.521 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI)))) into (- (* 0.5 PI)) 9.521 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in b 9.521 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 9.521 * [taylor]: Taking taylor expansion of 0.5 in b 9.521 * [backup-simplify]: Simplify 0.5 into 0.5 9.521 * [taylor]: Taking taylor expansion of PI in b 9.521 * [backup-simplify]: Simplify PI into PI 9.522 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 9.522 * [backup-simplify]: Simplify (- 0) into 0 9.522 * [backup-simplify]: Simplify 0 into 0 9.523 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.523 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.524 * [backup-simplify]: Simplify 0 into 0 9.524 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.525 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 9.525 * [backup-simplify]: Simplify (- 0) into 0 9.525 * [backup-simplify]: Simplify (+ 0 0) into 0 9.526 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 9.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.526 * [backup-simplify]: Simplify (- 0) into 0 9.527 * [backup-simplify]: Simplify (+ 0 0) into 0 9.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.528 * [backup-simplify]: Simplify (+ 0 0) into 0 9.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 9.529 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI b)) 9.530 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI))))) into (* 0.5 (/ PI b)) 9.530 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 9.530 * [taylor]: Taking taylor expansion of 0.5 in b 9.530 * [backup-simplify]: Simplify 0.5 into 0.5 9.530 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.530 * [taylor]: Taking taylor expansion of PI in b 9.530 * [backup-simplify]: Simplify PI into PI 9.530 * [taylor]: Taking taylor expansion of b in b 9.530 * [backup-simplify]: Simplify 0 into 0 9.530 * [backup-simplify]: Simplify 1 into 1 9.530 * [backup-simplify]: Simplify (/ PI 1) into PI 9.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.533 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.533 * [backup-simplify]: Simplify 0 into 0 9.533 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.534 * [backup-simplify]: Simplify (- 0) into 0 9.534 * [backup-simplify]: Simplify 0 into 0 9.534 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.535 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.535 * [backup-simplify]: Simplify 0 into 0 9.535 * [backup-simplify]: Simplify 0 into 0 9.536 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) 1.0) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 9.536 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 9.536 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 9.536 * [taylor]: Taking taylor expansion of -0.5 in b 9.536 * [backup-simplify]: Simplify -0.5 into -0.5 9.536 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 9.536 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 9.536 * [taylor]: Taking taylor expansion of PI in b 9.536 * [backup-simplify]: Simplify PI into PI 9.536 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 9.536 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 9.536 * [taylor]: Taking taylor expansion of 1.0 in b 9.536 * [backup-simplify]: Simplify 1.0 into 1.0 9.536 * [taylor]: Taking taylor expansion of b in b 9.536 * [backup-simplify]: Simplify 0 into 0 9.536 * [backup-simplify]: Simplify 1 into 1 9.536 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 9.536 * [taylor]: Taking taylor expansion of 1.0 in b 9.536 * [backup-simplify]: Simplify 1.0 into 1.0 9.536 * [taylor]: Taking taylor expansion of a in b 9.536 * [backup-simplify]: Simplify a into a 9.536 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 9.536 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.536 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.536 * [taylor]: Taking taylor expansion of a in b 9.536 * [backup-simplify]: Simplify a into a 9.536 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.536 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.536 * [taylor]: Taking taylor expansion of b in b 9.536 * [backup-simplify]: Simplify 0 into 0 9.536 * [backup-simplify]: Simplify 1 into 1 9.537 * [backup-simplify]: Simplify (/ 1 1) into 1 9.537 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 9.537 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.537 * [taylor]: Taking taylor expansion of a in b 9.537 * [backup-simplify]: Simplify a into a 9.537 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.537 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.537 * [taylor]: Taking taylor expansion of b in b 9.537 * [backup-simplify]: Simplify 0 into 0 9.537 * [backup-simplify]: Simplify 1 into 1 9.537 * [backup-simplify]: Simplify (/ 1 1) into 1 9.537 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.537 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 9.537 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 9.537 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 9.538 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 9.538 * [backup-simplify]: Simplify (+ 0 1) into 1 9.538 * [backup-simplify]: Simplify (- 1) into -1 9.539 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.539 * [backup-simplify]: Simplify (* 1 -1) into -1 9.539 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 9.539 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 9.539 * [taylor]: Taking taylor expansion of -0.5 in a 9.539 * [backup-simplify]: Simplify -0.5 into -0.5 9.539 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 9.539 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 9.539 * [taylor]: Taking taylor expansion of PI in a 9.539 * [backup-simplify]: Simplify PI into PI 9.539 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 9.539 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 9.539 * [taylor]: Taking taylor expansion of 1.0 in a 9.539 * [backup-simplify]: Simplify 1.0 into 1.0 9.540 * [taylor]: Taking taylor expansion of b in a 9.540 * [backup-simplify]: Simplify b into b 9.540 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 9.540 * [taylor]: Taking taylor expansion of 1.0 in a 9.540 * [backup-simplify]: Simplify 1.0 into 1.0 9.540 * [taylor]: Taking taylor expansion of a in a 9.540 * [backup-simplify]: Simplify 0 into 0 9.540 * [backup-simplify]: Simplify 1 into 1 9.540 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 9.540 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.540 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.540 * [taylor]: Taking taylor expansion of a in a 9.540 * [backup-simplify]: Simplify 0 into 0 9.540 * [backup-simplify]: Simplify 1 into 1 9.540 * [backup-simplify]: Simplify (/ 1 1) into 1 9.540 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.540 * [taylor]: Taking taylor expansion of b in a 9.540 * [backup-simplify]: Simplify b into b 9.540 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.540 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 9.541 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.541 * [taylor]: Taking taylor expansion of a in a 9.541 * [backup-simplify]: Simplify 0 into 0 9.541 * [backup-simplify]: Simplify 1 into 1 9.541 * [backup-simplify]: Simplify (/ 1 1) into 1 9.541 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.541 * [taylor]: Taking taylor expansion of b in a 9.541 * [backup-simplify]: Simplify b into b 9.541 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.541 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 9.542 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.542 * [backup-simplify]: Simplify (- 0) into 0 9.542 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 9.542 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 9.543 * [backup-simplify]: Simplify (+ 1 0) into 1 9.543 * [backup-simplify]: Simplify (+ 1 0) into 1 9.544 * [backup-simplify]: Simplify (* 1 1) into 1 9.544 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 9.544 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 9.544 * [taylor]: Taking taylor expansion of -0.5 in a 9.544 * [backup-simplify]: Simplify -0.5 into -0.5 9.544 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 9.544 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 9.544 * [taylor]: Taking taylor expansion of PI in a 9.544 * [backup-simplify]: Simplify PI into PI 9.544 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 9.544 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 9.544 * [taylor]: Taking taylor expansion of 1.0 in a 9.544 * [backup-simplify]: Simplify 1.0 into 1.0 9.544 * [taylor]: Taking taylor expansion of b in a 9.544 * [backup-simplify]: Simplify b into b 9.544 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 9.544 * [taylor]: Taking taylor expansion of 1.0 in a 9.544 * [backup-simplify]: Simplify 1.0 into 1.0 9.544 * [taylor]: Taking taylor expansion of a in a 9.544 * [backup-simplify]: Simplify 0 into 0 9.544 * [backup-simplify]: Simplify 1 into 1 9.544 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 9.544 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.544 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.544 * [taylor]: Taking taylor expansion of a in a 9.545 * [backup-simplify]: Simplify 0 into 0 9.545 * [backup-simplify]: Simplify 1 into 1 9.545 * [backup-simplify]: Simplify (/ 1 1) into 1 9.545 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.545 * [taylor]: Taking taylor expansion of b in a 9.545 * [backup-simplify]: Simplify b into b 9.545 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.545 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 9.545 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.545 * [taylor]: Taking taylor expansion of a in a 9.545 * [backup-simplify]: Simplify 0 into 0 9.545 * [backup-simplify]: Simplify 1 into 1 9.546 * [backup-simplify]: Simplify (/ 1 1) into 1 9.546 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.546 * [taylor]: Taking taylor expansion of b in a 9.546 * [backup-simplify]: Simplify b into b 9.546 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.546 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 9.546 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.547 * [backup-simplify]: Simplify (- 0) into 0 9.547 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 9.547 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 9.547 * [backup-simplify]: Simplify (+ 1 0) into 1 9.548 * [backup-simplify]: Simplify (+ 1 0) into 1 9.548 * [backup-simplify]: Simplify (* 1 1) into 1 9.548 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 9.548 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* PI b))) into (* -0.5 (* b PI)) 9.548 * [taylor]: Taking taylor expansion of (* -0.5 (* b PI)) in b 9.549 * [taylor]: Taking taylor expansion of -0.5 in b 9.549 * [backup-simplify]: Simplify -0.5 into -0.5 9.549 * [taylor]: Taking taylor expansion of (* b PI) in b 9.549 * [taylor]: Taking taylor expansion of b in b 9.549 * [backup-simplify]: Simplify 0 into 0 9.549 * [backup-simplify]: Simplify 1 into 1 9.549 * [taylor]: Taking taylor expansion of PI in b 9.549 * [backup-simplify]: Simplify PI into PI 9.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.552 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.552 * [backup-simplify]: Simplify (* 0 PI) into 0 9.553 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 9.553 * [backup-simplify]: Simplify 0 into 0 9.554 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 9.556 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.556 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.557 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 9.558 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 (* 1.0 b))) into (- (* 1.0 PI)) 9.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.559 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 9.559 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 9.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.560 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.560 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 9.563 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)))) into (- (* 1.0 PI)) 9.565 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b)))) into (* 0.5 PI) 9.565 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 9.565 * [taylor]: Taking taylor expansion of 0.5 in b 9.565 * [backup-simplify]: Simplify 0.5 into 0.5 9.565 * [taylor]: Taking taylor expansion of PI in b 9.565 * [backup-simplify]: Simplify PI into PI 9.566 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 9.566 * [backup-simplify]: Simplify 0 into 0 9.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.568 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.568 * [backup-simplify]: Simplify 0 into 0 9.568 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 9.569 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.569 * [backup-simplify]: Simplify (- 0) into 0 9.569 * [backup-simplify]: Simplify (+ 0 0) into 0 9.570 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b)))) into 0 9.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.571 * [backup-simplify]: Simplify (- 0) into 0 9.571 * [backup-simplify]: Simplify (+ 0 0) into 0 9.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.572 * [backup-simplify]: Simplify (+ 0 0) into 0 9.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 9.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI b)) 9.574 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b))))) into (- (* 0.5 (/ PI b))) 9.574 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 9.574 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 9.574 * [taylor]: Taking taylor expansion of 0.5 in b 9.574 * [backup-simplify]: Simplify 0.5 into 0.5 9.574 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.574 * [taylor]: Taking taylor expansion of PI in b 9.574 * [backup-simplify]: Simplify PI into PI 9.574 * [taylor]: Taking taylor expansion of b in b 9.574 * [backup-simplify]: Simplify 0 into 0 9.574 * [backup-simplify]: Simplify 1 into 1 9.574 * [backup-simplify]: Simplify (/ PI 1) into PI 9.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.577 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.577 * [backup-simplify]: Simplify (- 0) into 0 9.577 * [backup-simplify]: Simplify 0 into 0 9.578 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.578 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.579 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 9.580 * [backup-simplify]: Simplify (- (/ 1.0 a) (/ 1.0 b)) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 9.580 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in (a b) around 0 9.580 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 9.580 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 9.580 * [taylor]: Taking taylor expansion of 1.0 in b 9.580 * [backup-simplify]: Simplify 1.0 into 1.0 9.580 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.580 * [taylor]: Taking taylor expansion of a in b 9.580 * [backup-simplify]: Simplify a into a 9.580 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.580 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 9.580 * [taylor]: Taking taylor expansion of 1.0 in b 9.580 * [backup-simplify]: Simplify 1.0 into 1.0 9.580 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.580 * [taylor]: Taking taylor expansion of b in b 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify 1 into 1 9.580 * [backup-simplify]: Simplify (/ 1 1) into 1 9.580 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 9.580 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 9.580 * [taylor]: Taking taylor expansion of 1.0 in a 9.580 * [backup-simplify]: Simplify 1.0 into 1.0 9.580 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.580 * [taylor]: Taking taylor expansion of a in a 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify 1 into 1 9.581 * [backup-simplify]: Simplify (/ 1 1) into 1 9.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 9.581 * [taylor]: Taking taylor expansion of 1.0 in a 9.581 * [backup-simplify]: Simplify 1.0 into 1.0 9.581 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.581 * [taylor]: Taking taylor expansion of b in a 9.581 * [backup-simplify]: Simplify b into b 9.581 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.581 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 9.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 9.581 * [taylor]: Taking taylor expansion of 1.0 in a 9.581 * [backup-simplify]: Simplify 1.0 into 1.0 9.581 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.581 * [taylor]: Taking taylor expansion of a in a 9.581 * [backup-simplify]: Simplify 0 into 0 9.581 * [backup-simplify]: Simplify 1 into 1 9.581 * [backup-simplify]: Simplify (/ 1 1) into 1 9.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 9.581 * [taylor]: Taking taylor expansion of 1.0 in a 9.581 * [backup-simplify]: Simplify 1.0 into 1.0 9.581 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.581 * [taylor]: Taking taylor expansion of b in a 9.581 * [backup-simplify]: Simplify b into b 9.581 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.582 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.582 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.582 * [taylor]: Taking taylor expansion of 1.0 in b 9.582 * [backup-simplify]: Simplify 1.0 into 1.0 9.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.583 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 9.583 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 9.583 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 9.583 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 9.583 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b))) in b 9.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 9.583 * [taylor]: Taking taylor expansion of 1.0 in b 9.583 * [backup-simplify]: Simplify 1.0 into 1.0 9.583 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.583 * [taylor]: Taking taylor expansion of b in b 9.583 * [backup-simplify]: Simplify 0 into 0 9.583 * [backup-simplify]: Simplify 1 into 1 9.583 * [backup-simplify]: Simplify (/ 1 1) into 1 9.584 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.584 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.584 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.584 * [backup-simplify]: Simplify 1.0 into 1.0 9.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.585 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 9.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.586 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 9.586 * [backup-simplify]: Simplify (- 0) into 0 9.586 * [backup-simplify]: Simplify (+ 0 0) into 0 9.586 * [taylor]: Taking taylor expansion of 0 in b 9.586 * [backup-simplify]: Simplify 0 into 0 9.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.587 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 9.587 * [backup-simplify]: Simplify (- 0) into 0 9.587 * [backup-simplify]: Simplify 0 into 0 9.587 * [backup-simplify]: Simplify 0 into 0 9.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.588 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.589 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 9.589 * [backup-simplify]: Simplify (- 0) into 0 9.589 * [backup-simplify]: Simplify (+ 0 0) into 0 9.589 * [taylor]: Taking taylor expansion of 0 in b 9.589 * [backup-simplify]: Simplify 0 into 0 9.589 * [backup-simplify]: Simplify 0 into 0 9.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.591 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 9.591 * [backup-simplify]: Simplify (- 0) into 0 9.591 * [backup-simplify]: Simplify 0 into 0 9.591 * [backup-simplify]: Simplify 0 into 0 9.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.592 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.593 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 9.593 * [backup-simplify]: Simplify (- 0) into 0 9.593 * [backup-simplify]: Simplify (+ 0 0) into 0 9.593 * [taylor]: Taking taylor expansion of 0 in b 9.593 * [backup-simplify]: Simplify 0 into 0 9.593 * [backup-simplify]: Simplify 0 into 0 9.594 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 a))) (* (- 1.0) (* (/ 1 b) 1))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 9.594 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) into (- (* 1.0 a) (* 1.0 b)) 9.594 * [approximate]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in (a b) around 0 9.594 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 9.594 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 9.594 * [taylor]: Taking taylor expansion of 1.0 in b 9.594 * [backup-simplify]: Simplify 1.0 into 1.0 9.594 * [taylor]: Taking taylor expansion of a in b 9.594 * [backup-simplify]: Simplify a into a 9.594 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 9.594 * [taylor]: Taking taylor expansion of 1.0 in b 9.594 * [backup-simplify]: Simplify 1.0 into 1.0 9.594 * [taylor]: Taking taylor expansion of b in b 9.594 * [backup-simplify]: Simplify 0 into 0 9.594 * [backup-simplify]: Simplify 1 into 1 9.594 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 9.594 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 9.594 * [taylor]: Taking taylor expansion of 1.0 in a 9.594 * [backup-simplify]: Simplify 1.0 into 1.0 9.594 * [taylor]: Taking taylor expansion of a in a 9.594 * [backup-simplify]: Simplify 0 into 0 9.594 * [backup-simplify]: Simplify 1 into 1 9.594 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 9.594 * [taylor]: Taking taylor expansion of 1.0 in a 9.594 * [backup-simplify]: Simplify 1.0 into 1.0 9.594 * [taylor]: Taking taylor expansion of b in a 9.594 * [backup-simplify]: Simplify b into b 9.594 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 9.594 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 9.594 * [taylor]: Taking taylor expansion of 1.0 in a 9.594 * [backup-simplify]: Simplify 1.0 into 1.0 9.594 * [taylor]: Taking taylor expansion of a in a 9.594 * [backup-simplify]: Simplify 0 into 0 9.594 * [backup-simplify]: Simplify 1 into 1 9.594 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 9.594 * [taylor]: Taking taylor expansion of 1.0 in a 9.595 * [backup-simplify]: Simplify 1.0 into 1.0 9.595 * [taylor]: Taking taylor expansion of b in a 9.595 * [backup-simplify]: Simplify b into b 9.595 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.595 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 9.595 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 9.595 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 9.595 * [taylor]: Taking taylor expansion of (- (* 1.0 b)) in b 9.595 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 9.595 * [taylor]: Taking taylor expansion of 1.0 in b 9.595 * [backup-simplify]: Simplify 1.0 into 1.0 9.595 * [taylor]: Taking taylor expansion of b in b 9.595 * [backup-simplify]: Simplify 0 into 0 9.595 * [backup-simplify]: Simplify 1 into 1 9.595 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.596 * [backup-simplify]: Simplify (- 0) into 0 9.596 * [backup-simplify]: Simplify 0 into 0 9.596 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.597 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 9.597 * [backup-simplify]: Simplify (- 0) into 0 9.597 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.597 * [taylor]: Taking taylor expansion of 1.0 in b 9.597 * [backup-simplify]: Simplify 1.0 into 1.0 9.597 * [backup-simplify]: Simplify 1.0 into 1.0 9.598 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.598 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.599 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.599 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.602 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 9.602 * [backup-simplify]: Simplify (- 0) into 0 9.602 * [backup-simplify]: Simplify (+ 0 0) into 0 9.602 * [taylor]: Taking taylor expansion of 0 in b 9.602 * [backup-simplify]: Simplify 0 into 0 9.602 * [backup-simplify]: Simplify 0 into 0 9.602 * [backup-simplify]: Simplify 0 into 0 9.604 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.604 * [backup-simplify]: Simplify (- 0) into 0 9.604 * [backup-simplify]: Simplify 0 into 0 9.605 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.606 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.607 * [backup-simplify]: Simplify (- 0) into 0 9.607 * [backup-simplify]: Simplify (+ 0 0) into 0 9.607 * [taylor]: Taking taylor expansion of 0 in b 9.607 * [backup-simplify]: Simplify 0 into 0 9.607 * [backup-simplify]: Simplify 0 into 0 9.607 * [backup-simplify]: Simplify 0 into 0 9.607 * [backup-simplify]: Simplify 0 into 0 9.608 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 b) 1)) (* 1.0 (* 1 (/ 1 a)))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 9.608 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) into (- (* 1.0 b) (* 1.0 a)) 9.608 * [approximate]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in (a b) around 0 9.608 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 9.608 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 9.608 * [taylor]: Taking taylor expansion of 1.0 in b 9.608 * [backup-simplify]: Simplify 1.0 into 1.0 9.608 * [taylor]: Taking taylor expansion of b in b 9.608 * [backup-simplify]: Simplify 0 into 0 9.608 * [backup-simplify]: Simplify 1 into 1 9.608 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 9.608 * [taylor]: Taking taylor expansion of 1.0 in b 9.608 * [backup-simplify]: Simplify 1.0 into 1.0 9.608 * [taylor]: Taking taylor expansion of a in b 9.608 * [backup-simplify]: Simplify a into a 9.608 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 9.608 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 9.608 * [taylor]: Taking taylor expansion of 1.0 in a 9.608 * [backup-simplify]: Simplify 1.0 into 1.0 9.608 * [taylor]: Taking taylor expansion of b in a 9.608 * [backup-simplify]: Simplify b into b 9.608 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 9.608 * [taylor]: Taking taylor expansion of 1.0 in a 9.608 * [backup-simplify]: Simplify 1.0 into 1.0 9.608 * [taylor]: Taking taylor expansion of a in a 9.608 * [backup-simplify]: Simplify 0 into 0 9.608 * [backup-simplify]: Simplify 1 into 1 9.608 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 9.608 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 9.608 * [taylor]: Taking taylor expansion of 1.0 in a 9.609 * [backup-simplify]: Simplify 1.0 into 1.0 9.609 * [taylor]: Taking taylor expansion of b in a 9.609 * [backup-simplify]: Simplify b into b 9.609 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 9.609 * [taylor]: Taking taylor expansion of 1.0 in a 9.609 * [backup-simplify]: Simplify 1.0 into 1.0 9.609 * [taylor]: Taking taylor expansion of a in a 9.609 * [backup-simplify]: Simplify 0 into 0 9.609 * [backup-simplify]: Simplify 1 into 1 9.609 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 9.609 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.610 * [backup-simplify]: Simplify (- 0) into 0 9.610 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 9.610 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 9.610 * [taylor]: Taking taylor expansion of 1.0 in b 9.610 * [backup-simplify]: Simplify 1.0 into 1.0 9.610 * [taylor]: Taking taylor expansion of b in b 9.610 * [backup-simplify]: Simplify 0 into 0 9.610 * [backup-simplify]: Simplify 1 into 1 9.610 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.610 * [backup-simplify]: Simplify 0 into 0 9.611 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 9.612 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.612 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.613 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 9.614 * [taylor]: Taking taylor expansion of (- 1.0) in b 9.614 * [taylor]: Taking taylor expansion of 1.0 in b 9.614 * [backup-simplify]: Simplify 1.0 into 1.0 9.614 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.614 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 9.616 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.616 * [backup-simplify]: Simplify 1.0 into 1.0 9.617 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 9.617 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.618 * [backup-simplify]: Simplify (- 0) into 0 9.618 * [backup-simplify]: Simplify (+ 0 0) into 0 9.618 * [taylor]: Taking taylor expansion of 0 in b 9.618 * [backup-simplify]: Simplify 0 into 0 9.618 * [backup-simplify]: Simplify 0 into 0 9.619 * [backup-simplify]: Simplify (- 0) into 0 9.619 * [backup-simplify]: Simplify 0 into 0 9.620 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.620 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.622 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.622 * [backup-simplify]: Simplify (- 0) into 0 9.623 * [backup-simplify]: Simplify (+ 0 0) into 0 9.623 * [taylor]: Taking taylor expansion of 0 in b 9.623 * [backup-simplify]: Simplify 0 into 0 9.623 * [backup-simplify]: Simplify 0 into 0 9.623 * [backup-simplify]: Simplify 0 into 0 9.623 * [backup-simplify]: Simplify (- 0) into 0 9.623 * [backup-simplify]: Simplify 0 into 0 9.624 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- b)) 1)) (* (- 1.0) (* 1 (/ 1 (- a))))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 9.624 * * * [progress]: simplifying candidates 9.631 * [simplify]: Simplifying: (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ a b))) (log 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI 2.0)) (log (+ a b))) (log 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI 2.0) (+ a b))) (log 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (log (* (/ (/ PI 2.0) (+ a b)) 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 1.0 1.0) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 1.0 1.0) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ a b)) (/ (/ PI 2.0) (+ a b))) (/ (/ PI 2.0) (+ a b))) (* (* 1.0 1.0) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (* (/ (/ PI 2.0) (+ a b)) 1.0)) (* (/ (/ PI 2.0) (+ a b)) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (cbrt (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b))))) (cbrt (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ PI 2.0) 1.0) (- (* 1.0 b) (* a 1.0))) (* (+ a b) (* a b)) (* (* (/ PI 2.0) 1.0) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (+ a b) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b))))) (* (* (/ PI 2.0) 1.0) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (+ a b) (+ (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (/ 1.0 a)) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (/ 1.0 a)) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 b))) (* (/ 1.0 a) (* (/ (/ PI 2.0) (+ a b)) 1.0)) (* (- (/ 1.0 b)) (* (/ (/ PI 2.0) (+ a b)) 1.0)) (* (/ 1.0 a) (* (/ (/ PI 2.0) (+ a b)) 1.0)) (* (- (/ 1.0 b)) (* (/ (/ PI 2.0) (+ a b)) 1.0)) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b))))) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (sqrt (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ 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PI 2.0) (+ a b))) (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (/ PI 2.0) (+ a b))) (cbrt (/ (/ PI 2.0) (+ a b)))) (cbrt (/ (/ PI 2.0) (+ a b))) (* (* (/ (/ PI 2.0) (+ a b)) (/ (/ PI 2.0) (+ a b))) (/ (/ PI 2.0) (+ a b))) (sqrt (/ (/ PI 2.0) (+ a b))) (sqrt (/ (/ PI 2.0) (+ a b))) (- (/ PI 2.0)) (- (+ a b)) (/ (* (cbrt (/ PI 2.0)) (cbrt (/ PI 2.0))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2.0)) (cbrt (+ a b))) (/ (* (cbrt (/ PI 2.0)) (cbrt (/ PI 2.0))) (sqrt (+ a b))) (/ (cbrt (/ PI 2.0)) (sqrt (+ a b))) (/ (* (cbrt (/ PI 2.0)) (cbrt (/ PI 2.0))) 1) (/ (cbrt (/ PI 2.0)) (+ a b)) (/ (* (cbrt (/ PI 2.0)) (cbrt (/ PI 2.0))) 1) (/ (cbrt (/ PI 2.0)) (+ a b)) (/ (sqrt (/ PI 2.0)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2.0)) (cbrt (+ a b))) (/ (sqrt (/ PI 2.0)) (sqrt (+ a b))) (/ (sqrt (/ PI 2.0)) (sqrt (+ a b))) (/ (sqrt (/ PI 2.0)) 1) (/ (sqrt (/ PI 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(cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (cbrt PI) (sqrt 2.0)) (cbrt (+ a b))) (* (/ (cbrt PI) (sqrt (+ a b))) (/ (cbrt PI) (sqrt 2.0))) (/ (/ (cbrt PI) (sqrt 2.0)) (sqrt (+ a b))) (/ (cbrt PI) (/ (sqrt 2.0) (cbrt PI))) (/ (cbrt PI) (* (+ a b) (sqrt 2.0))) (/ (cbrt PI) (/ (sqrt 2.0) (cbrt PI))) (/ (cbrt PI) (* (+ a b) (sqrt 2.0))) (* (/ (cbrt PI) (cbrt (+ a b))) (/ (cbrt PI) (cbrt (+ a b)))) (/ (/ (cbrt PI) (cbrt (+ a b))) 2.0) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (/ (cbrt PI) 2.0) (sqrt (+ a b))) (* (cbrt PI) (cbrt PI)) (/ (/ (cbrt PI) 2.0) (+ a b)) (* (cbrt PI) (cbrt PI)) (/ (/ (cbrt PI) 2.0) (+ a b)) (/ (sqrt PI) (* (* (cbrt (+ a b)) (cbrt 2.0)) (* (cbrt (+ a b)) (cbrt 2.0)))) (/ (/ (sqrt PI) (cbrt 2.0)) (cbrt (+ a b))) (/ (/ (/ (sqrt PI) (cbrt 2.0)) (cbrt 2.0)) (sqrt (+ a b))) (/ (sqrt PI) (* (sqrt (+ a b)) (cbrt 2.0))) (/ (/ (sqrt PI) (cbrt 2.0)) (cbrt 2.0)) (/ (sqrt PI) (* (+ a b) (cbrt 2.0))) (/ (/ (sqrt PI) (cbrt 2.0)) (cbrt 2.0)) (/ (sqrt PI) (* (+ a b) (cbrt 2.0))) (/ (/ (/ (sqrt PI) (sqrt 2.0)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (sqrt PI) (cbrt (+ a b))) (sqrt 2.0)) (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ a b))) (/ (sqrt PI) (sqrt 2.0)) (/ (/ (sqrt PI) (sqrt 2.0)) (+ a b)) (/ (sqrt PI) (sqrt 2.0)) (/ (/ (sqrt PI) (sqrt 2.0)) (+ a b)) (/ (/ (sqrt PI) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (sqrt PI) 2.0) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (* (sqrt (+ a b)) 2.0)) (sqrt PI) (/ (/ (sqrt PI) 2.0) (+ a b)) (sqrt PI) (/ (/ (sqrt PI) 2.0) (+ a b)) (/ 1 (* (* (cbrt (+ a b)) (cbrt 2.0)) (* (cbrt (+ a b)) (cbrt 2.0)))) (/ (/ PI (cbrt (+ a b))) (cbrt 2.0)) (/ 1 (* (sqrt (+ a b)) (* (cbrt 2.0) (cbrt 2.0)))) (/ (/ PI (cbrt 2.0)) (sqrt (+ a b))) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0)) (/ (/ PI (+ a b)) (cbrt 2.0)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0)) (/ (/ PI (+ a b)) (cbrt 2.0)) (/ (/ (/ 1 (sqrt 2.0)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ PI (sqrt 2.0)) (cbrt (+ a b))) (/ (/ 1 (sqrt 2.0)) (sqrt (+ a b))) (/ (/ PI (sqrt 2.0)) (sqrt (+ a b))) (/ 1 (sqrt 2.0)) (/ (/ PI (sqrt 2.0)) (+ a b)) (/ 1 (sqrt 2.0)) (/ (/ PI (sqrt 2.0)) (+ a b)) (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ PI 2.0) (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ (/ PI 2.0) (sqrt (+ a b))) 1 (/ (/ PI 2.0) (+ a b)) 1 (/ (/ PI 2.0) (+ a b)) (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ PI 2.0) (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ (/ PI 2.0) (sqrt (+ a b))) 1 (/ (/ PI 2.0) (+ a b)) 1 (/ (/ PI 2.0) (+ a b)) (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ 1 (cbrt (+ a b))) 2.0) (/ PI (sqrt (+ a b))) (/ (/ 1 2.0) (sqrt (+ a b))) PI (/ (/ 1 2.0) (+ a b)) PI (/ (/ 1 2.0) (+ a b)) (/ 1 (+ a b)) (/ (+ a b) (/ PI 2.0)) (/ (/ (/ PI 2.0) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ PI 2.0) (sqrt (+ a b))) (/ PI 2.0) (/ PI 2.0) (/ (+ a b) (cbrt (/ PI 2.0))) (/ (+ a b) (sqrt (/ PI 2.0))) (* (/ (+ a b) (cbrt PI)) (cbrt 2.0)) (/ (* (+ a b) (sqrt 2.0)) (cbrt PI)) (/ (+ a b) (/ (cbrt PI) 2.0)) (/ (* (+ a b) (cbrt 2.0)) (sqrt PI)) (/ (+ a b) (/ (sqrt PI) (sqrt 2.0))) (/ (* (+ a b) 2.0) (sqrt PI)) (* (/ (+ a b) PI) (cbrt 2.0)) (/ (+ a b) (/ PI (sqrt 2.0))) (/ (+ a b) (/ PI 2.0)) (/ (+ a b) (/ PI 2.0)) (* (+ a b) 2.0) (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) 2.0) (/ PI (* (+ a b) (* (- a b) 2.0))) (* (+ a b) 2.0) (log (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a))) (log (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a))) (log (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a))) (log (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a))) (log (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a))) (log (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a))) (exp (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a))) (/ (* (* (/ (/ (* (/ PI 2.0) (/ PI 2.0)) (/ (* (+ a b) (* (+ a b) (+ a b))) (/ PI 2.0))) (- b a)) (/ (* (* 1.0 1.0) 1.0) (- b a))) (* (- (/ 1.0 a) (/ 1.0 b)) (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))))) (- b a)) (* (/ (* (- (/ 1.0 a) (/ 1.0 b)) (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)))) (- b a)) (/ (* (* (* (/ (/ PI 2.0) (+ a b)) (/ (/ PI 2.0) (+ a b))) (/ (/ PI 2.0) (+ a b))) (* 1.0 1.0)) (/ (* (- b a) (- b a)) 1.0))) (/ (* (* (/ (/ PI 2.0) (+ a b)) (/ (/ PI 2.0) (+ a b))) (/ (/ PI 2.0) (+ a b))) (/ (* (- b a) (* (- b a) (- b a))) (* (* (* (* 1.0 1.0) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)))))) (/ (/ (* (* (/ (* (/ PI 2.0) 1.0) (+ a b)) (/ (* (/ PI 2.0) 1.0) (+ a b))) (/ (* (/ PI 2.0) 1.0) (+ a b))) (/ (* (- b a) (- b a)) (* (- (/ 1.0 a) (/ 1.0 b)) (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)))))) (- b a)) (* (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a)) (* (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a)) (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a)))) (* (cbrt (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a))) (cbrt (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a)))) (cbrt (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a))) (* (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a)) (* (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a)) (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a)))) (sqrt (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a))) (sqrt (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- b a))) (* (- (- (/ 1.0 a) (/ 1.0 b))) (/ (* (/ PI 2.0) 1.0) (+ a b))) (- (- b a)) (/ (/ (* (/ PI 2.0) 1.0) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1.0 a) (/ 1.0 b)) (cbrt (- b a))) (/ 1.0 (/ (sqrt (- b a)) (/ (/ PI 2.0) (+ a b)))) (/ (- (/ 1.0 a) (/ 1.0 b)) (sqrt (- b a))) (/ (* (/ PI 2.0) 1.0) (+ a b)) (/ (- (/ 1.0 a) (/ 1.0 b)) (- b a)) (/ (/ (* (/ PI 2.0) 1.0) (+ a b)) (+ (sqrt b) (sqrt a))) (/ (- (/ 1.0 a) (/ 1.0 b)) (- (sqrt b) (sqrt a))) (/ (* (/ PI 2.0) 1.0) (+ a b)) (/ (- (/ 1.0 a) (/ 1.0 b)) (- b a)) (/ 1 (- b a)) (/ (- b a) (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b)))) (/ (/ (* (/ PI 2.0) 1.0) (+ a b)) (/ (cbrt (- b a)) (/ (- (/ 1.0 a) (/ 1.0 b)) (cbrt (- b a))))) (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (sqrt (- b a))) (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (+ (sqrt b) (sqrt a))) (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (/ (- b a) (- (/ 1.0 a) (/ 1.0 b))) (/ (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ a b))) (- (* (* b b) b) (* a (* a a)))) (/ 1.0 (/ (/ (- b a) (/ (- (/ 1.0 a) (/ 1.0 b)) (+ a b))) (/ (/ PI 2.0) (+ a b)))) (* (* (* (+ a b) (- b a)) b) a) (* (* (+ a b) (- b a)) (+ (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a))))) (* (+ a b) (* (- b a) (+ (/ 1.0 b) (/ 1.0 a)))) (* (* a b) (- b a)) (* (- b a) (+ (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a))))) (* (- b a) (+ (/ 1.0 b) (/ 1.0 a))) (* (+ a b) (- b a)) (exp (- (/ 1.0 a) (/ 1.0 b))) (log (- (/ 1.0 a) (/ 1.0 b))) (exp (- (/ 1.0 a) (/ 1.0 b))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b))) (* (- (/ 1.0 a) (/ 1.0 b)) (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (* 1.0 (- b a)) (* a b) (- (* (* (/ 1.0 a) (/ 1.0 a)) (/ 1.0 a)) (* (/ 1.0 b) (* (/ 1.0 b) (/ 1.0 b)))) (+ (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a)))) (- (/ 1.0 b)) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b))) (+ (/ 1.0 b) (/ 1.0 a)) (+ (sqrt (/ 1.0 b)) (sqrt (/ 1.0 a))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt b)) (sqrt (/ 1.0 a))) (- (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (- (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (cbrt 1.0) a) (/ (cbrt 1.0) b)) (- (/ (sqrt 1.0) a) (/ (sqrt 1.0) b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1.0 b)) (* (/ 0.5 a) (/ PI b)) (/ -0.5 (/ (* a b) PI)) (/ -0.5 (/ (* a b) PI)) 0 0 0 0 0 0 (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) 10.631 * * * [progress]: adding candidates to table 11.777 * * [progress]: iteration 4 / 4 11.778 * * * [progress]: picking best candidate 11.860 * * * * [pick]: Picked # 11.860 * * * [progress]: localizing error 11.895 * * * [progress]: generating rewritten candidates 11.895 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 11.912 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 12.002 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 12.164 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.228 * * * [progress]: generating series expansions 12.228 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 12.230 * [backup-simplify]: Simplify (/ (* (/ PI 2.0) 1.0) (+ a b)) into (* 0.5 (/ PI (+ a b))) 12.230 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (a b) around 0 12.230 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 12.230 * [taylor]: Taking taylor expansion of 0.5 in b 12.230 * [backup-simplify]: Simplify 0.5 into 0.5 12.230 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 12.230 * [taylor]: Taking taylor expansion of PI in b 12.230 * [backup-simplify]: Simplify PI into PI 12.230 * [taylor]: Taking taylor expansion of (+ a b) in b 12.230 * [taylor]: Taking taylor expansion of a in b 12.230 * [backup-simplify]: Simplify a into a 12.230 * [taylor]: Taking taylor expansion of b in b 12.230 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify 1 into 1 12.230 * [backup-simplify]: Simplify (+ a 0) into a 12.230 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 12.230 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 12.230 * [taylor]: Taking taylor expansion of 0.5 in a 12.230 * [backup-simplify]: Simplify 0.5 into 0.5 12.230 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 12.230 * [taylor]: Taking taylor expansion of PI in a 12.230 * [backup-simplify]: Simplify PI into PI 12.230 * [taylor]: Taking taylor expansion of (+ a b) in a 12.230 * [taylor]: Taking taylor expansion of a in a 12.230 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify 1 into 1 12.230 * [taylor]: Taking taylor expansion of b in a 12.230 * [backup-simplify]: Simplify b into b 12.230 * [backup-simplify]: Simplify (+ 0 b) into b 12.231 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 12.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 12.231 * [taylor]: Taking taylor expansion of 0.5 in a 12.231 * [backup-simplify]: Simplify 0.5 into 0.5 12.231 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 12.231 * [taylor]: Taking taylor expansion of PI in a 12.231 * [backup-simplify]: Simplify PI into PI 12.231 * [taylor]: Taking taylor expansion of (+ a b) in a 12.231 * [taylor]: Taking taylor expansion of a in a 12.231 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify 1 into 1 12.231 * [taylor]: Taking taylor expansion of b in a 12.231 * [backup-simplify]: Simplify b into b 12.231 * [backup-simplify]: Simplify (+ 0 b) into b 12.231 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 12.231 * [backup-simplify]: Simplify (* 0.5 (/ PI b)) into (* 0.5 (/ PI b)) 12.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 12.231 * [taylor]: Taking taylor expansion of 0.5 in b 12.231 * [backup-simplify]: Simplify 0.5 into 0.5 12.231 * [taylor]: Taking taylor expansion of (/ PI b) in b 12.231 * [taylor]: Taking taylor expansion of PI in b 12.231 * [backup-simplify]: Simplify PI into PI 12.231 * [taylor]: Taking taylor expansion of b in b 12.231 * [backup-simplify]: Simplify 0 into 0 12.231 * [backup-simplify]: Simplify 1 into 1 12.232 * [backup-simplify]: Simplify (/ PI 1) into PI 12.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.233 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 12.234 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify (+ 1 0) into 1 12.234 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 12.235 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 0.5 (/ PI (pow b 2)))) 12.235 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 12.235 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 12.235 * [taylor]: Taking taylor expansion of 0.5 in b 12.235 * [backup-simplify]: Simplify 0.5 into 0.5 12.235 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 12.235 * [taylor]: Taking taylor expansion of PI in b 12.235 * [backup-simplify]: Simplify PI into PI 12.235 * [taylor]: Taking taylor expansion of (pow b 2) in b 12.235 * [taylor]: Taking taylor expansion of b in b 12.235 * [backup-simplify]: Simplify 0 into 0 12.235 * [backup-simplify]: Simplify 1 into 1 12.235 * [backup-simplify]: Simplify (* 1 1) into 1 12.236 * [backup-simplify]: Simplify (/ PI 1) into PI 12.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.240 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.241 * [backup-simplify]: Simplify (- 0) into 0 12.241 * [backup-simplify]: Simplify 0 into 0 12.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.243 * [backup-simplify]: Simplify 0 into 0 12.243 * [backup-simplify]: Simplify (+ 0 0) into 0 12.244 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 12.244 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 0.5 (/ PI (pow b 3))) 12.244 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 12.244 * [taylor]: Taking taylor expansion of 0.5 in b 12.244 * [backup-simplify]: Simplify 0.5 into 0.5 12.245 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 12.245 * [taylor]: Taking taylor expansion of PI in b 12.245 * [backup-simplify]: Simplify PI into PI 12.245 * [taylor]: Taking taylor expansion of (pow b 3) in b 12.245 * [taylor]: Taking taylor expansion of b in b 12.245 * [backup-simplify]: Simplify 0 into 0 12.245 * [backup-simplify]: Simplify 1 into 1 12.245 * [backup-simplify]: Simplify (* 1 1) into 1 12.245 * [backup-simplify]: Simplify (* 1 1) into 1 12.246 * [backup-simplify]: Simplify (/ PI 1) into PI 12.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.253 * [backup-simplify]: Simplify 0 into 0 12.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.255 * [backup-simplify]: Simplify (- 0) into 0 12.255 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.256 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.256 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify 0 into 0 12.257 * [backup-simplify]: Simplify (/ (* (/ PI 2.0) 1.0) (+ (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 12.257 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 12.257 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 12.257 * [taylor]: Taking taylor expansion of 0.5 in b 12.257 * [backup-simplify]: Simplify 0.5 into 0.5 12.257 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 12.257 * [taylor]: Taking taylor expansion of PI in b 12.257 * [backup-simplify]: Simplify PI into PI 12.257 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.257 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.257 * [taylor]: Taking taylor expansion of a in b 12.257 * [backup-simplify]: Simplify a into a 12.257 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.257 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.257 * [taylor]: Taking taylor expansion of b in b 12.257 * [backup-simplify]: Simplify 0 into 0 12.257 * [backup-simplify]: Simplify 1 into 1 12.258 * [backup-simplify]: Simplify (/ 1 1) into 1 12.258 * [backup-simplify]: Simplify (+ 0 1) into 1 12.258 * [backup-simplify]: Simplify (/ PI 1) into PI 12.258 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 12.258 * [taylor]: Taking taylor expansion of 0.5 in a 12.258 * [backup-simplify]: Simplify 0.5 into 0.5 12.258 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 12.258 * [taylor]: Taking taylor expansion of PI in a 12.258 * [backup-simplify]: Simplify PI into PI 12.258 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.258 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.258 * [taylor]: Taking taylor expansion of a in a 12.258 * [backup-simplify]: Simplify 0 into 0 12.258 * [backup-simplify]: Simplify 1 into 1 12.259 * [backup-simplify]: Simplify (/ 1 1) into 1 12.259 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.259 * [taylor]: Taking taylor expansion of b in a 12.259 * [backup-simplify]: Simplify b into b 12.259 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.259 * [backup-simplify]: Simplify (+ 1 0) into 1 12.259 * [backup-simplify]: Simplify (/ PI 1) into PI 12.259 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 12.259 * [taylor]: Taking taylor expansion of 0.5 in a 12.259 * [backup-simplify]: Simplify 0.5 into 0.5 12.259 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 12.259 * [taylor]: Taking taylor expansion of PI in a 12.259 * [backup-simplify]: Simplify PI into PI 12.259 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.259 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.259 * [taylor]: Taking taylor expansion of a in a 12.259 * [backup-simplify]: Simplify 0 into 0 12.259 * [backup-simplify]: Simplify 1 into 1 12.260 * [backup-simplify]: Simplify (/ 1 1) into 1 12.260 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.260 * [taylor]: Taking taylor expansion of b in a 12.260 * [backup-simplify]: Simplify b into b 12.260 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.260 * [backup-simplify]: Simplify (+ 1 0) into 1 12.260 * [backup-simplify]: Simplify (/ PI 1) into PI 12.261 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 12.261 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 12.261 * [taylor]: Taking taylor expansion of 0.5 in b 12.261 * [backup-simplify]: Simplify 0.5 into 0.5 12.261 * [taylor]: Taking taylor expansion of PI in b 12.261 * [backup-simplify]: Simplify PI into PI 12.261 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 12.261 * [backup-simplify]: Simplify 0 into 0 12.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.262 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 12.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 12.263 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI b))) (* 0 PI)) into (- (* 0.5 (/ PI b))) 12.263 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 12.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 12.263 * [taylor]: Taking taylor expansion of 0.5 in b 12.263 * [backup-simplify]: Simplify 0.5 into 0.5 12.263 * [taylor]: Taking taylor expansion of (/ PI b) in b 12.263 * [taylor]: Taking taylor expansion of PI in b 12.263 * [backup-simplify]: Simplify PI into PI 12.263 * [taylor]: Taking taylor expansion of b in b 12.263 * [backup-simplify]: Simplify 0 into 0 12.263 * [backup-simplify]: Simplify 1 into 1 12.263 * [backup-simplify]: Simplify (/ PI 1) into PI 12.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.265 * [backup-simplify]: Simplify (- 0) into 0 12.265 * [backup-simplify]: Simplify 0 into 0 12.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.266 * [backup-simplify]: Simplify 0 into 0 12.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.266 * [backup-simplify]: Simplify (+ 0 0) into 0 12.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 12.268 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 0.5 (/ PI (pow b 2))) 12.268 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 12.268 * [taylor]: Taking taylor expansion of 0.5 in b 12.268 * [backup-simplify]: Simplify 0.5 into 0.5 12.268 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 12.268 * [taylor]: Taking taylor expansion of PI in b 12.268 * [backup-simplify]: Simplify PI into PI 12.268 * [taylor]: Taking taylor expansion of (pow b 2) in b 12.268 * [taylor]: Taking taylor expansion of b in b 12.268 * [backup-simplify]: Simplify 0 into 0 12.268 * [backup-simplify]: Simplify 1 into 1 12.268 * [backup-simplify]: Simplify (* 1 1) into 1 12.268 * [backup-simplify]: Simplify (/ PI 1) into PI 12.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.272 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.272 * [backup-simplify]: Simplify 0 into 0 12.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.274 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.274 * [backup-simplify]: Simplify (- 0) into 0 12.274 * [backup-simplify]: Simplify 0 into 0 12.275 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.275 * [backup-simplify]: Simplify 0 into 0 12.275 * [backup-simplify]: Simplify 0 into 0 12.275 * [backup-simplify]: Simplify (/ (* (/ PI 2.0) 1.0) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 12.275 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 12.275 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 12.275 * [taylor]: Taking taylor expansion of -0.5 in b 12.275 * [backup-simplify]: Simplify -0.5 into -0.5 12.275 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 12.276 * [taylor]: Taking taylor expansion of PI in b 12.276 * [backup-simplify]: Simplify PI into PI 12.276 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.276 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.276 * [taylor]: Taking taylor expansion of a in b 12.276 * [backup-simplify]: Simplify a into a 12.276 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.276 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.276 * [taylor]: Taking taylor expansion of b in b 12.276 * [backup-simplify]: Simplify 0 into 0 12.276 * [backup-simplify]: Simplify 1 into 1 12.276 * [backup-simplify]: Simplify (/ 1 1) into 1 12.276 * [backup-simplify]: Simplify (+ 0 1) into 1 12.276 * [backup-simplify]: Simplify (/ PI 1) into PI 12.276 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 12.277 * [taylor]: Taking taylor expansion of -0.5 in a 12.277 * [backup-simplify]: Simplify -0.5 into -0.5 12.277 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 12.277 * [taylor]: Taking taylor expansion of PI in a 12.277 * [backup-simplify]: Simplify PI into PI 12.277 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.277 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.277 * [taylor]: Taking taylor expansion of a in a 12.277 * [backup-simplify]: Simplify 0 into 0 12.277 * [backup-simplify]: Simplify 1 into 1 12.277 * [backup-simplify]: Simplify (/ 1 1) into 1 12.277 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.277 * [taylor]: Taking taylor expansion of b in a 12.277 * [backup-simplify]: Simplify b into b 12.277 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.277 * [backup-simplify]: Simplify (+ 1 0) into 1 12.278 * [backup-simplify]: Simplify (/ PI 1) into PI 12.278 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 12.278 * [taylor]: Taking taylor expansion of -0.5 in a 12.278 * [backup-simplify]: Simplify -0.5 into -0.5 12.278 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 12.278 * [taylor]: Taking taylor expansion of PI in a 12.278 * [backup-simplify]: Simplify PI into PI 12.278 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.278 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.278 * [taylor]: Taking taylor expansion of a in a 12.278 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify 1 into 1 12.278 * [backup-simplify]: Simplify (/ 1 1) into 1 12.278 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.278 * [taylor]: Taking taylor expansion of b in a 12.278 * [backup-simplify]: Simplify b into b 12.278 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.279 * [backup-simplify]: Simplify (+ 1 0) into 1 12.279 * [backup-simplify]: Simplify (/ PI 1) into PI 12.280 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 12.280 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 12.280 * [taylor]: Taking taylor expansion of -0.5 in b 12.280 * [backup-simplify]: Simplify -0.5 into -0.5 12.280 * [taylor]: Taking taylor expansion of PI in b 12.280 * [backup-simplify]: Simplify PI into PI 12.280 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 12.280 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.281 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 12.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 12.282 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI b))) (* 0 PI)) into (* 0.5 (/ PI b)) 12.282 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 12.282 * [taylor]: Taking taylor expansion of 0.5 in b 12.282 * [backup-simplify]: Simplify 0.5 into 0.5 12.282 * [taylor]: Taking taylor expansion of (/ PI b) in b 12.282 * [taylor]: Taking taylor expansion of PI in b 12.282 * [backup-simplify]: Simplify PI into PI 12.283 * [taylor]: Taking taylor expansion of b in b 12.283 * [backup-simplify]: Simplify 0 into 0 12.283 * [backup-simplify]: Simplify 1 into 1 12.283 * [backup-simplify]: Simplify (/ PI 1) into PI 12.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.286 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.286 * [backup-simplify]: Simplify 0 into 0 12.287 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.287 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.288 * [backup-simplify]: Simplify (+ 0 0) into 0 12.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 12.296 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 0.5 (/ PI (pow b 2)))) 12.296 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 12.296 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 12.296 * [taylor]: Taking taylor expansion of 0.5 in b 12.296 * [backup-simplify]: Simplify 0.5 into 0.5 12.296 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 12.296 * [taylor]: Taking taylor expansion of PI in b 12.296 * [backup-simplify]: Simplify PI into PI 12.296 * [taylor]: Taking taylor expansion of (pow b 2) in b 12.296 * [taylor]: Taking taylor expansion of b in b 12.296 * [backup-simplify]: Simplify 0 into 0 12.296 * [backup-simplify]: Simplify 1 into 1 12.296 * [backup-simplify]: Simplify (* 1 1) into 1 12.297 * [backup-simplify]: Simplify (/ PI 1) into PI 12.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.303 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.303 * [backup-simplify]: Simplify (- 0) into 0 12.303 * [backup-simplify]: Simplify 0 into 0 12.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.306 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.306 * [backup-simplify]: Simplify 0 into 0 12.307 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.307 * [backup-simplify]: Simplify 0 into 0 12.307 * [backup-simplify]: Simplify 0 into 0 12.307 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 12.307 * [backup-simplify]: Simplify (/ (- (/ 1.0 a) (/ 1.0 b)) (- b a)) into (/ (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- b a)) 12.307 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- b a)) in (a b) around 0 12.307 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- b a)) in b 12.307 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 12.307 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 12.307 * [taylor]: Taking taylor expansion of 1.0 in b 12.307 * [backup-simplify]: Simplify 1.0 into 1.0 12.307 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.307 * [taylor]: Taking taylor expansion of a in b 12.308 * [backup-simplify]: Simplify a into a 12.308 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.308 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 12.308 * [taylor]: Taking taylor expansion of 1.0 in b 12.308 * [backup-simplify]: Simplify 1.0 into 1.0 12.308 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.308 * [taylor]: Taking taylor expansion of b in b 12.308 * [backup-simplify]: Simplify 0 into 0 12.308 * [backup-simplify]: Simplify 1 into 1 12.308 * [backup-simplify]: Simplify (/ 1 1) into 1 12.308 * [taylor]: Taking taylor expansion of (- b a) in b 12.308 * [taylor]: Taking taylor expansion of b in b 12.308 * [backup-simplify]: Simplify 0 into 0 12.308 * [backup-simplify]: Simplify 1 into 1 12.308 * [taylor]: Taking taylor expansion of a in b 12.308 * [backup-simplify]: Simplify a into a 12.309 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.309 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.310 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 12.310 * [backup-simplify]: Simplify (- a) into (- a) 12.310 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 12.310 * [backup-simplify]: Simplify (/ (- 1.0) (- a)) into (/ 1.0 a) 12.310 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- b a)) in a 12.310 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 12.311 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 12.311 * [taylor]: Taking taylor expansion of 1.0 in a 12.311 * [backup-simplify]: Simplify 1.0 into 1.0 12.311 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.311 * [taylor]: Taking taylor expansion of a in a 12.311 * [backup-simplify]: Simplify 0 into 0 12.311 * [backup-simplify]: Simplify 1 into 1 12.311 * [backup-simplify]: Simplify (/ 1 1) into 1 12.311 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 12.311 * [taylor]: Taking taylor expansion of 1.0 in a 12.311 * [backup-simplify]: Simplify 1.0 into 1.0 12.311 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.311 * [taylor]: Taking taylor expansion of b in a 12.311 * [backup-simplify]: Simplify b into b 12.311 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.311 * [taylor]: Taking taylor expansion of (- b a) in a 12.311 * [taylor]: Taking taylor expansion of b in a 12.311 * [backup-simplify]: Simplify b into b 12.311 * [taylor]: Taking taylor expansion of a in a 12.311 * [backup-simplify]: Simplify 0 into 0 12.311 * [backup-simplify]: Simplify 1 into 1 12.312 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.312 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.313 * [backup-simplify]: Simplify (- 0) into 0 12.313 * [backup-simplify]: Simplify (+ b 0) into b 12.313 * [backup-simplify]: Simplify (/ 1.0 b) into (/ 1.0 b) 12.313 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- b a)) in a 12.313 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 12.313 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 12.313 * [taylor]: Taking taylor expansion of 1.0 in a 12.313 * [backup-simplify]: Simplify 1.0 into 1.0 12.313 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.313 * [taylor]: Taking taylor expansion of a in a 12.313 * [backup-simplify]: Simplify 0 into 0 12.313 * [backup-simplify]: Simplify 1 into 1 12.313 * [backup-simplify]: Simplify (/ 1 1) into 1 12.313 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 12.313 * [taylor]: Taking taylor expansion of 1.0 in a 12.313 * [backup-simplify]: Simplify 1.0 into 1.0 12.313 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.313 * [taylor]: Taking taylor expansion of b in a 12.313 * [backup-simplify]: Simplify b into b 12.313 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.314 * [taylor]: Taking taylor expansion of (- b a) in a 12.314 * [taylor]: Taking taylor expansion of b in a 12.314 * [backup-simplify]: Simplify b into b 12.314 * [taylor]: Taking taylor expansion of a in a 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify 1 into 1 12.314 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.315 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.315 * [backup-simplify]: Simplify (- 0) into 0 12.315 * [backup-simplify]: Simplify (+ b 0) into b 12.315 * [backup-simplify]: Simplify (/ 1.0 b) into (/ 1.0 b) 12.315 * [taylor]: Taking taylor expansion of (/ 1.0 b) in b 12.315 * [taylor]: Taking taylor expansion of 1.0 in b 12.315 * [backup-simplify]: Simplify 1.0 into 1.0 12.315 * [taylor]: Taking taylor expansion of b in b 12.315 * [backup-simplify]: Simplify 0 into 0 12.315 * [backup-simplify]: Simplify 1 into 1 12.316 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 12.316 * [backup-simplify]: Simplify 1.0 into 1.0 12.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.317 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 12.317 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 12.317 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 12.317 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 12.318 * [backup-simplify]: Simplify (- 1) into -1 12.318 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.318 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ 1 b))) b) (+ (* (/ 1.0 b) (/ -1 b)))) into 0 12.319 * [taylor]: Taking taylor expansion of 0 in b 12.319 * [backup-simplify]: Simplify 0 into 0 12.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 12.320 * [backup-simplify]: Simplify 0 into 0 12.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.321 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 12.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.322 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 12.322 * [backup-simplify]: Simplify (- 0) into 0 12.323 * [backup-simplify]: Simplify (+ 0 0) into 0 12.323 * [backup-simplify]: Simplify (- 0) into 0 12.324 * [backup-simplify]: Simplify (+ 0 0) into 0 12.324 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1.0 b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 12.324 * [taylor]: Taking taylor expansion of 0 in b 12.324 * [backup-simplify]: Simplify 0 into 0 12.324 * [backup-simplify]: Simplify 0 into 0 12.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.325 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.327 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 12.328 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 12.328 * [backup-simplify]: Simplify (- 0) into 0 12.328 * [backup-simplify]: Simplify (+ 0 0) into 0 12.329 * [backup-simplify]: Simplify (- 0) into 0 12.329 * [backup-simplify]: Simplify (+ 0 0) into 0 12.329 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1.0 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ -1 b)))) into 0 12.329 * [taylor]: Taking taylor expansion of 0 in b 12.330 * [backup-simplify]: Simplify 0 into 0 12.330 * [backup-simplify]: Simplify 0 into 0 12.330 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.331 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 b) (/ 1 a))) into (/ 1.0 (* a b)) 12.331 * [backup-simplify]: Simplify (/ (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) (- (/ 1 b) (/ 1 a))) into (/ (- (* 1.0 a) (* 1.0 b)) (- (/ 1 b) (/ 1 a))) 12.331 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 a) (* 1.0 b)) (- (/ 1 b) (/ 1 a))) in (a b) around 0 12.331 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 a) (* 1.0 b)) (- (/ 1 b) (/ 1 a))) in b 12.331 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 12.331 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.331 * [taylor]: Taking taylor expansion of 1.0 in b 12.331 * [backup-simplify]: Simplify 1.0 into 1.0 12.331 * [taylor]: Taking taylor expansion of a in b 12.331 * [backup-simplify]: Simplify a into a 12.332 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.332 * [taylor]: Taking taylor expansion of 1.0 in b 12.332 * [backup-simplify]: Simplify 1.0 into 1.0 12.332 * [taylor]: Taking taylor expansion of b in b 12.332 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify 1 into 1 12.332 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 12.332 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.332 * [taylor]: Taking taylor expansion of b in b 12.332 * [backup-simplify]: Simplify 0 into 0 12.332 * [backup-simplify]: Simplify 1 into 1 12.332 * [backup-simplify]: Simplify (/ 1 1) into 1 12.332 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.332 * [taylor]: Taking taylor expansion of a in b 12.332 * [backup-simplify]: Simplify a into a 12.332 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.332 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 12.333 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.333 * [backup-simplify]: Simplify (- 0) into 0 12.333 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 12.334 * [backup-simplify]: Simplify (+ 1 0) into 1 12.334 * [backup-simplify]: Simplify (/ (* 1.0 a) 1) into (* 1.0 a) 12.334 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 a) (* 1.0 b)) (- (/ 1 b) (/ 1 a))) in a 12.334 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 12.334 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.334 * [taylor]: Taking taylor expansion of 1.0 in a 12.334 * [backup-simplify]: Simplify 1.0 into 1.0 12.334 * [taylor]: Taking taylor expansion of a in a 12.334 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify 1 into 1 12.334 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.334 * [taylor]: Taking taylor expansion of 1.0 in a 12.334 * [backup-simplify]: Simplify 1.0 into 1.0 12.334 * [taylor]: Taking taylor expansion of b in a 12.334 * [backup-simplify]: Simplify b into b 12.334 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 12.334 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.334 * [taylor]: Taking taylor expansion of b in a 12.334 * [backup-simplify]: Simplify b into b 12.334 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.334 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.334 * [taylor]: Taking taylor expansion of a in a 12.334 * [backup-simplify]: Simplify 0 into 0 12.334 * [backup-simplify]: Simplify 1 into 1 12.335 * [backup-simplify]: Simplify (/ 1 1) into 1 12.335 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.335 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.335 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 12.335 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 12.336 * [backup-simplify]: Simplify (- 1) into -1 12.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.336 * [backup-simplify]: Simplify (/ (- (* 1.0 b)) -1) into (* 1.0 b) 12.336 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 a) (* 1.0 b)) (- (/ 1 b) (/ 1 a))) in a 12.336 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 12.336 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.336 * [taylor]: Taking taylor expansion of 1.0 in a 12.336 * [backup-simplify]: Simplify 1.0 into 1.0 12.336 * [taylor]: Taking taylor expansion of a in a 12.336 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify 1 into 1 12.336 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.336 * [taylor]: Taking taylor expansion of 1.0 in a 12.336 * [backup-simplify]: Simplify 1.0 into 1.0 12.336 * [taylor]: Taking taylor expansion of b in a 12.336 * [backup-simplify]: Simplify b into b 12.336 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 12.336 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.336 * [taylor]: Taking taylor expansion of b in a 12.336 * [backup-simplify]: Simplify b into b 12.336 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.337 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.337 * [taylor]: Taking taylor expansion of a in a 12.337 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify 1 into 1 12.337 * [backup-simplify]: Simplify (/ 1 1) into 1 12.337 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.337 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.337 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 12.338 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 12.338 * [backup-simplify]: Simplify (- 1) into -1 12.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.338 * [backup-simplify]: Simplify (/ (- (* 1.0 b)) -1) into (* 1.0 b) 12.338 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.338 * [taylor]: Taking taylor expansion of 1.0 in b 12.338 * [backup-simplify]: Simplify 1.0 into 1.0 12.338 * [taylor]: Taking taylor expansion of b in b 12.338 * [backup-simplify]: Simplify 0 into 0 12.338 * [backup-simplify]: Simplify 1 into 1 12.339 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.339 * [backup-simplify]: Simplify 1.0 into 1.0 12.340 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.340 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 12.341 * [backup-simplify]: Simplify (- 0) into 0 12.341 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.342 * [backup-simplify]: Simplify (- 0) into 0 12.342 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 12.342 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* (* 1.0 b) (/ (/ 1 b) -1)))) into 0 12.342 * [taylor]: Taking taylor expansion of 0 in b 12.342 * [backup-simplify]: Simplify 0 into 0 12.342 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.343 * [backup-simplify]: Simplify 0 into 0 12.343 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.344 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 12.344 * [backup-simplify]: Simplify (- 0) into 0 12.344 * [backup-simplify]: Simplify (+ 0 0) into 0 12.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.345 * [backup-simplify]: Simplify (- 0) into 0 12.345 * [backup-simplify]: Simplify (+ 0 0) into 0 12.346 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 b) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 12.346 * [taylor]: Taking taylor expansion of 0 in b 12.346 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify 0 into 0 12.346 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.346 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.348 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 12.348 * [backup-simplify]: Simplify (- 0) into 0 12.348 * [backup-simplify]: Simplify (+ 0 0) into 0 12.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 12.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.349 * [backup-simplify]: Simplify (- 0) into 0 12.349 * [backup-simplify]: Simplify (+ 0 0) into 0 12.350 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 b) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 12.350 * [taylor]: Taking taylor expansion of 0 in b 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 b) (/ 1 a))) into (/ 1.0 (* a b)) 12.351 * [backup-simplify]: Simplify (/ (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (/ (- (* 1.0 b) (* 1.0 a)) (- (/ 1 a) (/ 1 b))) 12.351 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 b) (* 1.0 a)) (- (/ 1 a) (/ 1 b))) in (a b) around 0 12.351 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 b) (* 1.0 a)) (- (/ 1 a) (/ 1 b))) in b 12.351 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 12.351 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.351 * [taylor]: Taking taylor expansion of 1.0 in b 12.351 * [backup-simplify]: Simplify 1.0 into 1.0 12.351 * [taylor]: Taking taylor expansion of b in b 12.351 * [backup-simplify]: Simplify 0 into 0 12.351 * [backup-simplify]: Simplify 1 into 1 12.351 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.351 * [taylor]: Taking taylor expansion of 1.0 in b 12.351 * [backup-simplify]: Simplify 1.0 into 1.0 12.351 * [taylor]: Taking taylor expansion of a in b 12.351 * [backup-simplify]: Simplify a into a 12.351 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 12.351 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.351 * [taylor]: Taking taylor expansion of a in b 12.351 * [backup-simplify]: Simplify a into a 12.351 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.351 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.351 * [taylor]: Taking taylor expansion of b in b 12.351 * [backup-simplify]: Simplify 0 into 0 12.351 * [backup-simplify]: Simplify 1 into 1 12.351 * [backup-simplify]: Simplify (/ 1 1) into 1 12.351 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.351 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 12.351 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 12.352 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 12.352 * [backup-simplify]: Simplify (- 1) into -1 12.352 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.352 * [backup-simplify]: Simplify (/ (- (* 1.0 a)) -1) into (* 1.0 a) 12.352 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 b) (* 1.0 a)) (- (/ 1 a) (/ 1 b))) in a 12.352 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 12.352 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.352 * [taylor]: Taking taylor expansion of 1.0 in a 12.352 * [backup-simplify]: Simplify 1.0 into 1.0 12.352 * [taylor]: Taking taylor expansion of b in a 12.352 * [backup-simplify]: Simplify b into b 12.352 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.352 * [taylor]: Taking taylor expansion of 1.0 in a 12.352 * [backup-simplify]: Simplify 1.0 into 1.0 12.352 * [taylor]: Taking taylor expansion of a in a 12.352 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify 1 into 1 12.352 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 12.352 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.352 * [taylor]: Taking taylor expansion of a in a 12.352 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify 1 into 1 12.353 * [backup-simplify]: Simplify (/ 1 1) into 1 12.353 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.353 * [taylor]: Taking taylor expansion of b in a 12.353 * [backup-simplify]: Simplify b into b 12.353 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.353 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.353 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.353 * [backup-simplify]: Simplify (- 0) into 0 12.353 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 12.354 * [backup-simplify]: Simplify (+ 1 0) into 1 12.354 * [backup-simplify]: Simplify (/ (* 1.0 b) 1) into (* 1.0 b) 12.354 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 b) (* 1.0 a)) (- (/ 1 a) (/ 1 b))) in a 12.354 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 12.354 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.354 * [taylor]: Taking taylor expansion of 1.0 in a 12.354 * [backup-simplify]: Simplify 1.0 into 1.0 12.354 * [taylor]: Taking taylor expansion of b in a 12.354 * [backup-simplify]: Simplify b into b 12.354 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.354 * [taylor]: Taking taylor expansion of 1.0 in a 12.354 * [backup-simplify]: Simplify 1.0 into 1.0 12.354 * [taylor]: Taking taylor expansion of a in a 12.354 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify 1 into 1 12.354 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 12.354 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.354 * [taylor]: Taking taylor expansion of a in a 12.354 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify 1 into 1 12.354 * [backup-simplify]: Simplify (/ 1 1) into 1 12.354 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.354 * [taylor]: Taking taylor expansion of b in a 12.354 * [backup-simplify]: Simplify b into b 12.354 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.354 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.355 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.355 * [backup-simplify]: Simplify (- 0) into 0 12.355 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 12.355 * [backup-simplify]: Simplify (+ 1 0) into 1 12.355 * [backup-simplify]: Simplify (/ (* 1.0 b) 1) into (* 1.0 b) 12.355 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.355 * [taylor]: Taking taylor expansion of 1.0 in b 12.355 * [backup-simplify]: Simplify 1.0 into 1.0 12.355 * [taylor]: Taking taylor expansion of b in b 12.355 * [backup-simplify]: Simplify 0 into 0 12.355 * [backup-simplify]: Simplify 1 into 1 12.356 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.356 * [backup-simplify]: Simplify 1.0 into 1.0 12.356 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 12.357 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.358 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.358 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 12.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.359 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 12.359 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 12.359 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* (* 1.0 b) (/ (- (/ 1 b)) 1)))) into 0 12.359 * [taylor]: Taking taylor expansion of 0 in b 12.359 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.360 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 12.361 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.361 * [backup-simplify]: Simplify (- 0) into 0 12.361 * [backup-simplify]: Simplify (+ 0 0) into 0 12.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.362 * [backup-simplify]: Simplify (- 0) into 0 12.362 * [backup-simplify]: Simplify (+ 0 0) into 0 12.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 b) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 12.363 * [taylor]: Taking taylor expansion of 0 in b 12.363 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify 0 into 0 12.364 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.364 * [backup-simplify]: Simplify 0 into 0 12.364 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 12.365 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.365 * [backup-simplify]: Simplify (- 0) into 0 12.366 * [backup-simplify]: Simplify (+ 0 0) into 0 12.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 12.366 * [backup-simplify]: Simplify (- 0) into 0 12.367 * [backup-simplify]: Simplify (+ 0 0) into 0 12.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 b) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 12.368 * [taylor]: Taking taylor expansion of 0 in b 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ 1.0 (* a b)) 12.368 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.369 * [backup-simplify]: Simplify (* (/ (* (/ PI 2.0) 1.0) (+ a b)) (/ (- (/ 1.0 a) (/ 1.0 b)) (- b a))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) 12.369 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in (a b) around 0 12.369 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in b 12.369 * [taylor]: Taking taylor expansion of 0.5 in b 12.369 * [backup-simplify]: Simplify 0.5 into 0.5 12.369 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 12.369 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 12.369 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 12.369 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 12.370 * [taylor]: Taking taylor expansion of 1.0 in b 12.370 * [backup-simplify]: Simplify 1.0 into 1.0 12.370 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.370 * [taylor]: Taking taylor expansion of a in b 12.370 * [backup-simplify]: Simplify a into a 12.370 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.370 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 12.370 * [taylor]: Taking taylor expansion of 1.0 in b 12.370 * [backup-simplify]: Simplify 1.0 into 1.0 12.370 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.370 * [taylor]: Taking taylor expansion of b in b 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify 1 into 1 12.370 * [backup-simplify]: Simplify (/ 1 1) into 1 12.370 * [taylor]: Taking taylor expansion of PI in b 12.370 * [backup-simplify]: Simplify PI into PI 12.370 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 12.370 * [taylor]: Taking taylor expansion of (- b a) in b 12.370 * [taylor]: Taking taylor expansion of b in b 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify 1 into 1 12.370 * [taylor]: Taking taylor expansion of a in b 12.370 * [backup-simplify]: Simplify a into a 12.370 * [taylor]: Taking taylor expansion of (+ a b) in b 12.370 * [taylor]: Taking taylor expansion of a in b 12.370 * [backup-simplify]: Simplify a into a 12.370 * [taylor]: Taking taylor expansion of b in b 12.370 * [backup-simplify]: Simplify 0 into 0 12.370 * [backup-simplify]: Simplify 1 into 1 12.371 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.371 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.372 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 12.373 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 12.373 * [backup-simplify]: Simplify (- a) into (- a) 12.373 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 12.373 * [backup-simplify]: Simplify (+ a 0) into a 12.373 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 12.374 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 12.374 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 12.374 * [taylor]: Taking taylor expansion of 0.5 in a 12.374 * [backup-simplify]: Simplify 0.5 into 0.5 12.374 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 12.374 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 12.374 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 12.374 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 12.374 * [taylor]: Taking taylor expansion of 1.0 in a 12.374 * [backup-simplify]: Simplify 1.0 into 1.0 12.374 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.374 * [taylor]: Taking taylor expansion of a in a 12.374 * [backup-simplify]: Simplify 0 into 0 12.374 * [backup-simplify]: Simplify 1 into 1 12.374 * [backup-simplify]: Simplify (/ 1 1) into 1 12.374 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 12.374 * [taylor]: Taking taylor expansion of 1.0 in a 12.375 * [backup-simplify]: Simplify 1.0 into 1.0 12.375 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.375 * [taylor]: Taking taylor expansion of b in a 12.375 * [backup-simplify]: Simplify b into b 12.375 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.375 * [taylor]: Taking taylor expansion of PI in a 12.375 * [backup-simplify]: Simplify PI into PI 12.375 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 12.375 * [taylor]: Taking taylor expansion of (- b a) in a 12.375 * [taylor]: Taking taylor expansion of b in a 12.375 * [backup-simplify]: Simplify b into b 12.375 * [taylor]: Taking taylor expansion of a in a 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify 1 into 1 12.375 * [taylor]: Taking taylor expansion of (+ a b) in a 12.375 * [taylor]: Taking taylor expansion of a in a 12.375 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify 1 into 1 12.375 * [taylor]: Taking taylor expansion of b in a 12.375 * [backup-simplify]: Simplify b into b 12.375 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.376 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.376 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 12.377 * [backup-simplify]: Simplify (- 0) into 0 12.377 * [backup-simplify]: Simplify (+ b 0) into b 12.377 * [backup-simplify]: Simplify (+ 0 b) into b 12.377 * [backup-simplify]: Simplify (* b b) into (pow b 2) 12.377 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 12.378 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 12.378 * [taylor]: Taking taylor expansion of 0.5 in a 12.378 * [backup-simplify]: Simplify 0.5 into 0.5 12.378 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 12.378 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 12.378 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 12.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 12.378 * [taylor]: Taking taylor expansion of 1.0 in a 12.378 * [backup-simplify]: Simplify 1.0 into 1.0 12.378 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.378 * [taylor]: Taking taylor expansion of a in a 12.378 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify 1 into 1 12.378 * [backup-simplify]: Simplify (/ 1 1) into 1 12.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 12.378 * [taylor]: Taking taylor expansion of 1.0 in a 12.378 * [backup-simplify]: Simplify 1.0 into 1.0 12.378 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.378 * [taylor]: Taking taylor expansion of b in a 12.378 * [backup-simplify]: Simplify b into b 12.378 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.379 * [taylor]: Taking taylor expansion of PI in a 12.379 * [backup-simplify]: Simplify PI into PI 12.379 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 12.379 * [taylor]: Taking taylor expansion of (- b a) in a 12.379 * [taylor]: Taking taylor expansion of b in a 12.379 * [backup-simplify]: Simplify b into b 12.379 * [taylor]: Taking taylor expansion of a in a 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [backup-simplify]: Simplify 1 into 1 12.379 * [taylor]: Taking taylor expansion of (+ a b) in a 12.379 * [taylor]: Taking taylor expansion of a in a 12.379 * [backup-simplify]: Simplify 0 into 0 12.379 * [backup-simplify]: Simplify 1 into 1 12.379 * [taylor]: Taking taylor expansion of b in a 12.379 * [backup-simplify]: Simplify b into b 12.379 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.380 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.380 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 12.380 * [backup-simplify]: Simplify (- 0) into 0 12.381 * [backup-simplify]: Simplify (+ b 0) into b 12.381 * [backup-simplify]: Simplify (+ 0 b) into b 12.381 * [backup-simplify]: Simplify (* b b) into (pow b 2) 12.381 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 12.381 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow b 2)))) into (* 0.5 (/ PI (pow b 2))) 12.382 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 12.382 * [taylor]: Taking taylor expansion of 0.5 in b 12.382 * [backup-simplify]: Simplify 0.5 into 0.5 12.382 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 12.382 * [taylor]: Taking taylor expansion of PI in b 12.382 * [backup-simplify]: Simplify PI into PI 12.382 * [taylor]: Taking taylor expansion of (pow b 2) in b 12.382 * [taylor]: Taking taylor expansion of b in b 12.382 * [backup-simplify]: Simplify 0 into 0 12.382 * [backup-simplify]: Simplify 1 into 1 12.382 * [backup-simplify]: Simplify (* 1 1) into 1 12.383 * [backup-simplify]: Simplify (/ PI 1) into PI 12.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.385 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.386 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 12.387 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 12.387 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 12.387 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 12.387 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 12.388 * [backup-simplify]: Simplify (+ 1 0) into 1 12.388 * [backup-simplify]: Simplify (- 1) into -1 12.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.389 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 12.390 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ PI b))) (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1.0 (/ PI (pow b 3)))) 12.390 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2))))) into (- (* 0.5 (/ PI (pow b 3)))) 12.390 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 3)))) in b 12.390 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 12.390 * [taylor]: Taking taylor expansion of 0.5 in b 12.391 * [backup-simplify]: Simplify 0.5 into 0.5 12.391 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 12.391 * [taylor]: Taking taylor expansion of PI in b 12.391 * [backup-simplify]: Simplify PI into PI 12.391 * [taylor]: Taking taylor expansion of (pow b 3) in b 12.391 * [taylor]: Taking taylor expansion of b in b 12.391 * [backup-simplify]: Simplify 0 into 0 12.391 * [backup-simplify]: Simplify 1 into 1 12.391 * [backup-simplify]: Simplify (* 1 1) into 1 12.392 * [backup-simplify]: Simplify (* 1 1) into 1 12.392 * [backup-simplify]: Simplify (/ PI 1) into PI 12.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.398 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.398 * [backup-simplify]: Simplify (- 0) into 0 12.398 * [backup-simplify]: Simplify 0 into 0 12.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.401 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.401 * [backup-simplify]: Simplify 0 into 0 12.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.403 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 12.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.404 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 12.404 * [backup-simplify]: Simplify (- 0) into 0 12.405 * [backup-simplify]: Simplify (+ 0 0) into 0 12.406 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (* 0 PI))) into 0 12.406 * [backup-simplify]: Simplify (+ 0 0) into 0 12.406 * [backup-simplify]: Simplify (- 0) into 0 12.407 * [backup-simplify]: Simplify (+ 0 0) into 0 12.407 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 12.408 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1.0 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1.0 (/ PI (pow b 4))) 12.409 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow b 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2)))))) into (* 0.5 (/ PI (pow b 4))) 12.409 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 12.409 * [taylor]: Taking taylor expansion of 0.5 in b 12.409 * [backup-simplify]: Simplify 0.5 into 0.5 12.409 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 12.409 * [taylor]: Taking taylor expansion of PI in b 12.409 * [backup-simplify]: Simplify PI into PI 12.409 * [taylor]: Taking taylor expansion of (pow b 4) in b 12.409 * [taylor]: Taking taylor expansion of b in b 12.409 * [backup-simplify]: Simplify 0 into 0 12.409 * [backup-simplify]: Simplify 1 into 1 12.410 * [backup-simplify]: Simplify (* 1 1) into 1 12.410 * [backup-simplify]: Simplify (* 1 1) into 1 12.410 * [backup-simplify]: Simplify (/ PI 1) into PI 12.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.422 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.422 * [backup-simplify]: Simplify 0 into 0 12.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.427 * [backup-simplify]: Simplify (- 0) into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.430 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.430 * [backup-simplify]: Simplify 0 into 0 12.430 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify (* (/ (* (/ PI 2.0) 1.0) (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 12.432 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 12.432 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 12.432 * [taylor]: Taking taylor expansion of 0.5 in b 12.432 * [backup-simplify]: Simplify 0.5 into 0.5 12.432 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 12.432 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 12.432 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 12.432 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.432 * [taylor]: Taking taylor expansion of 1.0 in b 12.432 * [backup-simplify]: Simplify 1.0 into 1.0 12.432 * [taylor]: Taking taylor expansion of a in b 12.432 * [backup-simplify]: Simplify a into a 12.432 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.432 * [taylor]: Taking taylor expansion of 1.0 in b 12.432 * [backup-simplify]: Simplify 1.0 into 1.0 12.432 * [taylor]: Taking taylor expansion of b in b 12.432 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify 1 into 1 12.433 * [taylor]: Taking taylor expansion of PI in b 12.433 * [backup-simplify]: Simplify PI into PI 12.433 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 12.433 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.433 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.433 * [taylor]: Taking taylor expansion of a in b 12.433 * [backup-simplify]: Simplify a into a 12.433 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.433 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.433 * [taylor]: Taking taylor expansion of b in b 12.433 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify 1 into 1 12.433 * [backup-simplify]: Simplify (/ 1 1) into 1 12.433 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 12.433 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.433 * [taylor]: Taking taylor expansion of b in b 12.433 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify 1 into 1 12.434 * [backup-simplify]: Simplify (/ 1 1) into 1 12.434 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.434 * [taylor]: Taking taylor expansion of a in b 12.434 * [backup-simplify]: Simplify a into a 12.434 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.434 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 12.434 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.435 * [backup-simplify]: Simplify (- 0) into 0 12.435 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 12.435 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 12.435 * [backup-simplify]: Simplify (+ 0 1) into 1 12.436 * [backup-simplify]: Simplify (+ 1 0) into 1 12.436 * [backup-simplify]: Simplify (* 1 1) into 1 12.436 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 12.436 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 12.436 * [taylor]: Taking taylor expansion of 0.5 in a 12.436 * [backup-simplify]: Simplify 0.5 into 0.5 12.436 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 12.436 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 12.436 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 12.436 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.436 * [taylor]: Taking taylor expansion of 1.0 in a 12.436 * [backup-simplify]: Simplify 1.0 into 1.0 12.436 * [taylor]: Taking taylor expansion of a in a 12.436 * [backup-simplify]: Simplify 0 into 0 12.436 * [backup-simplify]: Simplify 1 into 1 12.436 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.436 * [taylor]: Taking taylor expansion of 1.0 in a 12.436 * [backup-simplify]: Simplify 1.0 into 1.0 12.436 * [taylor]: Taking taylor expansion of b in a 12.437 * [backup-simplify]: Simplify b into b 12.437 * [taylor]: Taking taylor expansion of PI in a 12.437 * [backup-simplify]: Simplify PI into PI 12.437 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 12.437 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.437 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.437 * [taylor]: Taking taylor expansion of a in a 12.437 * [backup-simplify]: Simplify 0 into 0 12.437 * [backup-simplify]: Simplify 1 into 1 12.437 * [backup-simplify]: Simplify (/ 1 1) into 1 12.437 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.437 * [taylor]: Taking taylor expansion of b in a 12.437 * [backup-simplify]: Simplify b into b 12.437 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.437 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 12.437 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.437 * [taylor]: Taking taylor expansion of b in a 12.437 * [backup-simplify]: Simplify b into b 12.437 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.437 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.437 * [taylor]: Taking taylor expansion of a in a 12.437 * [backup-simplify]: Simplify 0 into 0 12.437 * [backup-simplify]: Simplify 1 into 1 12.438 * [backup-simplify]: Simplify (/ 1 1) into 1 12.438 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.438 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.438 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 12.438 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 12.439 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 12.439 * [backup-simplify]: Simplify (+ 1 0) into 1 12.439 * [backup-simplify]: Simplify (- 1) into -1 12.440 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.440 * [backup-simplify]: Simplify (* 1 -1) into -1 12.440 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 12.440 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 12.440 * [taylor]: Taking taylor expansion of 0.5 in a 12.440 * [backup-simplify]: Simplify 0.5 into 0.5 12.440 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 12.440 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 12.441 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 12.441 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.441 * [taylor]: Taking taylor expansion of 1.0 in a 12.441 * [backup-simplify]: Simplify 1.0 into 1.0 12.441 * [taylor]: Taking taylor expansion of a in a 12.441 * [backup-simplify]: Simplify 0 into 0 12.441 * [backup-simplify]: Simplify 1 into 1 12.441 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.441 * [taylor]: Taking taylor expansion of 1.0 in a 12.441 * [backup-simplify]: Simplify 1.0 into 1.0 12.441 * [taylor]: Taking taylor expansion of b in a 12.441 * [backup-simplify]: Simplify b into b 12.441 * [taylor]: Taking taylor expansion of PI in a 12.441 * [backup-simplify]: Simplify PI into PI 12.441 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 12.441 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.441 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.441 * [taylor]: Taking taylor expansion of a in a 12.441 * [backup-simplify]: Simplify 0 into 0 12.441 * [backup-simplify]: Simplify 1 into 1 12.441 * [backup-simplify]: Simplify (/ 1 1) into 1 12.441 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.442 * [taylor]: Taking taylor expansion of b in a 12.442 * [backup-simplify]: Simplify b into b 12.442 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.442 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 12.442 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.442 * [taylor]: Taking taylor expansion of b in a 12.442 * [backup-simplify]: Simplify b into b 12.442 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.442 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.442 * [taylor]: Taking taylor expansion of a in a 12.442 * [backup-simplify]: Simplify 0 into 0 12.442 * [backup-simplify]: Simplify 1 into 1 12.442 * [backup-simplify]: Simplify (/ 1 1) into 1 12.443 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.443 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.443 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 12.443 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 12.443 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 12.443 * [backup-simplify]: Simplify (+ 1 0) into 1 12.444 * [backup-simplify]: Simplify (- 1) into -1 12.444 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.445 * [backup-simplify]: Simplify (* 1 -1) into -1 12.445 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 12.445 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* b PI))) into (* 0.5 (* PI b)) 12.445 * [taylor]: Taking taylor expansion of (* 0.5 (* PI b)) in b 12.445 * [taylor]: Taking taylor expansion of 0.5 in b 12.445 * [backup-simplify]: Simplify 0.5 into 0.5 12.445 * [taylor]: Taking taylor expansion of (* PI b) in b 12.445 * [taylor]: Taking taylor expansion of PI in b 12.445 * [backup-simplify]: Simplify PI into PI 12.445 * [taylor]: Taking taylor expansion of b in b 12.445 * [backup-simplify]: Simplify 0 into 0 12.445 * [backup-simplify]: Simplify 1 into 1 12.446 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 12.448 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 12.449 * [backup-simplify]: Simplify (* PI 0) into 0 12.450 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 12.450 * [backup-simplify]: Simplify 0 into 0 12.451 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.452 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 12.452 * [backup-simplify]: Simplify (- 0) into 0 12.453 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.453 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (* 1.0 PI)) into (* 1.0 PI) 12.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.455 * [backup-simplify]: Simplify (- 0) into 0 12.455 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 12.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.456 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 12.456 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 12.457 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* b PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 12.459 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI)))) into (- (* 0.5 PI)) 12.459 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in b 12.459 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 12.459 * [taylor]: Taking taylor expansion of 0.5 in b 12.459 * [backup-simplify]: Simplify 0.5 into 0.5 12.459 * [taylor]: Taking taylor expansion of PI in b 12.459 * [backup-simplify]: Simplify PI into PI 12.460 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.461 * [backup-simplify]: Simplify (- 0) into 0 12.461 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.463 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.463 * [backup-simplify]: Simplify 0 into 0 12.464 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.465 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 12.465 * [backup-simplify]: Simplify (- 0) into 0 12.466 * [backup-simplify]: Simplify (+ 0 0) into 0 12.467 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 12.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.468 * [backup-simplify]: Simplify (- 0) into 0 12.468 * [backup-simplify]: Simplify (+ 0 0) into 0 12.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.470 * [backup-simplify]: Simplify (+ 0 0) into 0 12.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 12.473 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI b)) 12.474 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI))))) into (* 0.5 (/ PI b)) 12.474 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 12.474 * [taylor]: Taking taylor expansion of 0.5 in b 12.474 * [backup-simplify]: Simplify 0.5 into 0.5 12.474 * [taylor]: Taking taylor expansion of (/ PI b) in b 12.474 * [taylor]: Taking taylor expansion of PI in b 12.474 * [backup-simplify]: Simplify PI into PI 12.474 * [taylor]: Taking taylor expansion of b in b 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify 1 into 1 12.475 * [backup-simplify]: Simplify (/ PI 1) into PI 12.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.479 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.479 * [backup-simplify]: Simplify 0 into 0 12.480 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.481 * [backup-simplify]: Simplify (- 0) into 0 12.481 * [backup-simplify]: Simplify 0 into 0 12.482 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.484 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.484 * [backup-simplify]: Simplify 0 into 0 12.484 * [backup-simplify]: Simplify 0 into 0 12.485 * [backup-simplify]: Simplify (* (/ (* (/ PI 2.0) 1.0) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) into (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 12.486 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 12.486 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 12.486 * [taylor]: Taking taylor expansion of -0.5 in b 12.486 * [backup-simplify]: Simplify -0.5 into -0.5 12.486 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 12.486 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 12.486 * [taylor]: Taking taylor expansion of PI in b 12.486 * [backup-simplify]: Simplify PI into PI 12.486 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 12.486 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.486 * [taylor]: Taking taylor expansion of 1.0 in b 12.486 * [backup-simplify]: Simplify 1.0 into 1.0 12.486 * [taylor]: Taking taylor expansion of b in b 12.486 * [backup-simplify]: Simplify 0 into 0 12.486 * [backup-simplify]: Simplify 1 into 1 12.486 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.486 * [taylor]: Taking taylor expansion of 1.0 in b 12.486 * [backup-simplify]: Simplify 1.0 into 1.0 12.486 * [taylor]: Taking taylor expansion of a in b 12.486 * [backup-simplify]: Simplify a into a 12.486 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 12.486 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.486 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.486 * [taylor]: Taking taylor expansion of a in b 12.486 * [backup-simplify]: Simplify a into a 12.486 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.486 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.486 * [taylor]: Taking taylor expansion of b in b 12.486 * [backup-simplify]: Simplify 0 into 0 12.486 * [backup-simplify]: Simplify 1 into 1 12.487 * [backup-simplify]: Simplify (/ 1 1) into 1 12.487 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 12.487 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.487 * [taylor]: Taking taylor expansion of a in b 12.487 * [backup-simplify]: Simplify a into a 12.487 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.487 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.487 * [taylor]: Taking taylor expansion of b in b 12.487 * [backup-simplify]: Simplify 0 into 0 12.487 * [backup-simplify]: Simplify 1 into 1 12.487 * [backup-simplify]: Simplify (/ 1 1) into 1 12.488 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.488 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 12.488 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 12.488 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 12.488 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 12.488 * [backup-simplify]: Simplify (+ 0 1) into 1 12.489 * [backup-simplify]: Simplify (- 1) into -1 12.489 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.490 * [backup-simplify]: Simplify (* 1 -1) into -1 12.490 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 12.490 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 12.490 * [taylor]: Taking taylor expansion of -0.5 in a 12.490 * [backup-simplify]: Simplify -0.5 into -0.5 12.490 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 12.490 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 12.490 * [taylor]: Taking taylor expansion of PI in a 12.490 * [backup-simplify]: Simplify PI into PI 12.490 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 12.490 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.490 * [taylor]: Taking taylor expansion of 1.0 in a 12.490 * [backup-simplify]: Simplify 1.0 into 1.0 12.490 * [taylor]: Taking taylor expansion of b in a 12.490 * [backup-simplify]: Simplify b into b 12.490 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.490 * [taylor]: Taking taylor expansion of 1.0 in a 12.490 * [backup-simplify]: Simplify 1.0 into 1.0 12.490 * [taylor]: Taking taylor expansion of a in a 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify 1 into 1 12.490 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 12.490 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.490 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.490 * [taylor]: Taking taylor expansion of a in a 12.490 * [backup-simplify]: Simplify 0 into 0 12.490 * [backup-simplify]: Simplify 1 into 1 12.491 * [backup-simplify]: Simplify (/ 1 1) into 1 12.491 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.491 * [taylor]: Taking taylor expansion of b in a 12.491 * [backup-simplify]: Simplify b into b 12.491 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.491 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 12.491 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.491 * [taylor]: Taking taylor expansion of a in a 12.491 * [backup-simplify]: Simplify 0 into 0 12.491 * [backup-simplify]: Simplify 1 into 1 12.491 * [backup-simplify]: Simplify (/ 1 1) into 1 12.491 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.492 * [taylor]: Taking taylor expansion of b in a 12.492 * [backup-simplify]: Simplify b into b 12.492 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.492 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.492 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.492 * [backup-simplify]: Simplify (- 0) into 0 12.493 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 12.493 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 12.493 * [backup-simplify]: Simplify (+ 1 0) into 1 12.493 * [backup-simplify]: Simplify (+ 1 0) into 1 12.494 * [backup-simplify]: Simplify (* 1 1) into 1 12.494 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 12.494 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 12.494 * [taylor]: Taking taylor expansion of -0.5 in a 12.494 * [backup-simplify]: Simplify -0.5 into -0.5 12.494 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 12.494 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 12.494 * [taylor]: Taking taylor expansion of PI in a 12.494 * [backup-simplify]: Simplify PI into PI 12.494 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 12.494 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.494 * [taylor]: Taking taylor expansion of 1.0 in a 12.494 * [backup-simplify]: Simplify 1.0 into 1.0 12.494 * [taylor]: Taking taylor expansion of b in a 12.494 * [backup-simplify]: Simplify b into b 12.494 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.494 * [taylor]: Taking taylor expansion of 1.0 in a 12.494 * [backup-simplify]: Simplify 1.0 into 1.0 12.494 * [taylor]: Taking taylor expansion of a in a 12.494 * [backup-simplify]: Simplify 0 into 0 12.494 * [backup-simplify]: Simplify 1 into 1 12.494 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 12.494 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.494 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.494 * [taylor]: Taking taylor expansion of a in a 12.495 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify 1 into 1 12.495 * [backup-simplify]: Simplify (/ 1 1) into 1 12.495 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.495 * [taylor]: Taking taylor expansion of b in a 12.495 * [backup-simplify]: Simplify b into b 12.495 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.495 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 12.495 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.495 * [taylor]: Taking taylor expansion of a in a 12.495 * [backup-simplify]: Simplify 0 into 0 12.495 * [backup-simplify]: Simplify 1 into 1 12.496 * [backup-simplify]: Simplify (/ 1 1) into 1 12.496 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.496 * [taylor]: Taking taylor expansion of b in a 12.496 * [backup-simplify]: Simplify b into b 12.496 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.496 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.496 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.497 * [backup-simplify]: Simplify (- 0) into 0 12.497 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 12.497 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 12.497 * [backup-simplify]: Simplify (+ 1 0) into 1 12.498 * [backup-simplify]: Simplify (+ 1 0) into 1 12.498 * [backup-simplify]: Simplify (* 1 1) into 1 12.498 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 12.498 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* PI b))) into (* -0.5 (* b PI)) 12.498 * [taylor]: Taking taylor expansion of (* -0.5 (* b PI)) in b 12.498 * [taylor]: Taking taylor expansion of -0.5 in b 12.498 * [backup-simplify]: Simplify -0.5 into -0.5 12.498 * [taylor]: Taking taylor expansion of (* b PI) in b 12.498 * [taylor]: Taking taylor expansion of b in b 12.498 * [backup-simplify]: Simplify 0 into 0 12.498 * [backup-simplify]: Simplify 1 into 1 12.498 * [taylor]: Taking taylor expansion of PI in b 12.498 * [backup-simplify]: Simplify PI into PI 12.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.501 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.501 * [backup-simplify]: Simplify (* 0 PI) into 0 12.502 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 12.503 * [backup-simplify]: Simplify 0 into 0 12.503 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 12.504 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.505 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.506 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 12.507 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 (* 1.0 b))) into (- (* 1.0 PI)) 12.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.508 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 12.508 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 12.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.509 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 12.509 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 12.511 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)))) into (- (* 1.0 PI)) 12.513 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b)))) into (* 0.5 PI) 12.513 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 12.513 * [taylor]: Taking taylor expansion of 0.5 in b 12.513 * [backup-simplify]: Simplify 0.5 into 0.5 12.513 * [taylor]: Taking taylor expansion of PI in b 12.513 * [backup-simplify]: Simplify PI into PI 12.514 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.514 * [backup-simplify]: Simplify 0 into 0 12.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.517 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.517 * [backup-simplify]: Simplify 0 into 0 12.518 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 12.519 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.519 * [backup-simplify]: Simplify (- 0) into 0 12.519 * [backup-simplify]: Simplify (+ 0 0) into 0 12.521 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b)))) into 0 12.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.522 * [backup-simplify]: Simplify (- 0) into 0 12.522 * [backup-simplify]: Simplify (+ 0 0) into 0 12.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.524 * [backup-simplify]: Simplify (+ 0 0) into 0 12.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 12.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI b)) 12.528 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b))))) into (- (* 0.5 (/ PI b))) 12.528 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 12.528 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 12.528 * [taylor]: Taking taylor expansion of 0.5 in b 12.528 * [backup-simplify]: Simplify 0.5 into 0.5 12.528 * [taylor]: Taking taylor expansion of (/ PI b) in b 12.528 * [taylor]: Taking taylor expansion of PI in b 12.528 * [backup-simplify]: Simplify PI into PI 12.528 * [taylor]: Taking taylor expansion of b in b 12.528 * [backup-simplify]: Simplify 0 into 0 12.528 * [backup-simplify]: Simplify 1 into 1 12.528 * [backup-simplify]: Simplify (/ PI 1) into PI 12.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.533 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.533 * [backup-simplify]: Simplify (- 0) into 0 12.533 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.535 * [backup-simplify]: Simplify 0 into 0 12.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.537 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.537 * [backup-simplify]: Simplify 0 into 0 12.537 * [backup-simplify]: Simplify 0 into 0 12.538 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 12.538 * [backup-simplify]: Simplify (- (/ 1.0 a) (/ 1.0 b)) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 12.538 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in (a b) around 0 12.538 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 12.538 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 12.538 * [taylor]: Taking taylor expansion of 1.0 in b 12.538 * [backup-simplify]: Simplify 1.0 into 1.0 12.538 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.538 * [taylor]: Taking taylor expansion of a in b 12.538 * [backup-simplify]: Simplify a into a 12.538 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.538 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 12.538 * [taylor]: Taking taylor expansion of 1.0 in b 12.538 * [backup-simplify]: Simplify 1.0 into 1.0 12.538 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.538 * [taylor]: Taking taylor expansion of b in b 12.538 * [backup-simplify]: Simplify 0 into 0 12.538 * [backup-simplify]: Simplify 1 into 1 12.539 * [backup-simplify]: Simplify (/ 1 1) into 1 12.539 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 12.539 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 12.539 * [taylor]: Taking taylor expansion of 1.0 in a 12.539 * [backup-simplify]: Simplify 1.0 into 1.0 12.539 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.539 * [taylor]: Taking taylor expansion of a in a 12.539 * [backup-simplify]: Simplify 0 into 0 12.539 * [backup-simplify]: Simplify 1 into 1 12.539 * [backup-simplify]: Simplify (/ 1 1) into 1 12.539 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 12.539 * [taylor]: Taking taylor expansion of 1.0 in a 12.540 * [backup-simplify]: Simplify 1.0 into 1.0 12.540 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.540 * [taylor]: Taking taylor expansion of b in a 12.540 * [backup-simplify]: Simplify b into b 12.540 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.540 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 12.540 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 12.540 * [taylor]: Taking taylor expansion of 1.0 in a 12.540 * [backup-simplify]: Simplify 1.0 into 1.0 12.540 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.540 * [taylor]: Taking taylor expansion of a in a 12.540 * [backup-simplify]: Simplify 0 into 0 12.540 * [backup-simplify]: Simplify 1 into 1 12.540 * [backup-simplify]: Simplify (/ 1 1) into 1 12.540 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 12.540 * [taylor]: Taking taylor expansion of 1.0 in a 12.540 * [backup-simplify]: Simplify 1.0 into 1.0 12.540 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.540 * [taylor]: Taking taylor expansion of b in a 12.541 * [backup-simplify]: Simplify b into b 12.541 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.541 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.542 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.542 * [taylor]: Taking taylor expansion of 1.0 in b 12.542 * [backup-simplify]: Simplify 1.0 into 1.0 12.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.543 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 12.543 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 12.544 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 12.544 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 12.544 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b))) in b 12.544 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 12.544 * [taylor]: Taking taylor expansion of 1.0 in b 12.544 * [backup-simplify]: Simplify 1.0 into 1.0 12.544 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.544 * [taylor]: Taking taylor expansion of b in b 12.544 * [backup-simplify]: Simplify 0 into 0 12.544 * [backup-simplify]: Simplify 1 into 1 12.544 * [backup-simplify]: Simplify (/ 1 1) into 1 12.545 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.545 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.545 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.546 * [backup-simplify]: Simplify 1.0 into 1.0 12.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.547 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 12.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.548 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 12.548 * [backup-simplify]: Simplify (- 0) into 0 12.549 * [backup-simplify]: Simplify (+ 0 0) into 0 12.549 * [taylor]: Taking taylor expansion of 0 in b 12.549 * [backup-simplify]: Simplify 0 into 0 12.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.550 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 12.551 * [backup-simplify]: Simplify (- 0) into 0 12.551 * [backup-simplify]: Simplify 0 into 0 12.551 * [backup-simplify]: Simplify 0 into 0 12.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.553 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 12.554 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 12.554 * [backup-simplify]: Simplify (- 0) into 0 12.555 * [backup-simplify]: Simplify (+ 0 0) into 0 12.555 * [taylor]: Taking taylor expansion of 0 in b 12.555 * [backup-simplify]: Simplify 0 into 0 12.555 * [backup-simplify]: Simplify 0 into 0 12.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.557 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 12.557 * [backup-simplify]: Simplify (- 0) into 0 12.557 * [backup-simplify]: Simplify 0 into 0 12.557 * [backup-simplify]: Simplify 0 into 0 12.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.559 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 12.561 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 12.561 * [backup-simplify]: Simplify (- 0) into 0 12.562 * [backup-simplify]: Simplify (+ 0 0) into 0 12.562 * [taylor]: Taking taylor expansion of 0 in b 12.562 * [backup-simplify]: Simplify 0 into 0 12.562 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 a))) (* (- 1.0) (* (/ 1 b) 1))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 12.565 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) into (- (* 1.0 a) (* 1.0 b)) 12.565 * [approximate]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in (a b) around 0 12.565 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 12.565 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.565 * [taylor]: Taking taylor expansion of 1.0 in b 12.565 * [backup-simplify]: Simplify 1.0 into 1.0 12.565 * [taylor]: Taking taylor expansion of a in b 12.565 * [backup-simplify]: Simplify a into a 12.565 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.565 * [taylor]: Taking taylor expansion of 1.0 in b 12.565 * [backup-simplify]: Simplify 1.0 into 1.0 12.565 * [taylor]: Taking taylor expansion of b in b 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify 1 into 1 12.565 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 12.565 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.565 * [taylor]: Taking taylor expansion of 1.0 in a 12.565 * [backup-simplify]: Simplify 1.0 into 1.0 12.565 * [taylor]: Taking taylor expansion of a in a 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify 1 into 1 12.565 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.565 * [taylor]: Taking taylor expansion of 1.0 in a 12.565 * [backup-simplify]: Simplify 1.0 into 1.0 12.565 * [taylor]: Taking taylor expansion of b in a 12.566 * [backup-simplify]: Simplify b into b 12.566 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 12.566 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.566 * [taylor]: Taking taylor expansion of 1.0 in a 12.566 * [backup-simplify]: Simplify 1.0 into 1.0 12.566 * [taylor]: Taking taylor expansion of a in a 12.566 * [backup-simplify]: Simplify 0 into 0 12.566 * [backup-simplify]: Simplify 1 into 1 12.566 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.566 * [taylor]: Taking taylor expansion of 1.0 in a 12.566 * [backup-simplify]: Simplify 1.0 into 1.0 12.566 * [taylor]: Taking taylor expansion of b in a 12.566 * [backup-simplify]: Simplify b into b 12.566 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.566 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.566 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 12.567 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 12.567 * [taylor]: Taking taylor expansion of (- (* 1.0 b)) in b 12.567 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.567 * [taylor]: Taking taylor expansion of 1.0 in b 12.567 * [backup-simplify]: Simplify 1.0 into 1.0 12.567 * [taylor]: Taking taylor expansion of b in b 12.567 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify 1 into 1 12.567 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.567 * [backup-simplify]: Simplify (- 0) into 0 12.567 * [backup-simplify]: Simplify 0 into 0 12.568 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.568 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 12.569 * [backup-simplify]: Simplify (- 0) into 0 12.569 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.569 * [taylor]: Taking taylor expansion of 1.0 in b 12.569 * [backup-simplify]: Simplify 1.0 into 1.0 12.569 * [backup-simplify]: Simplify 1.0 into 1.0 12.570 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.570 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.570 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.571 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.571 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 12.571 * [backup-simplify]: Simplify (- 0) into 0 12.572 * [backup-simplify]: Simplify (+ 0 0) into 0 12.572 * [taylor]: Taking taylor expansion of 0 in b 12.572 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.573 * [backup-simplify]: Simplify (- 0) into 0 12.573 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.574 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 12.574 * [backup-simplify]: Simplify (- 0) into 0 12.574 * [backup-simplify]: Simplify (+ 0 0) into 0 12.574 * [taylor]: Taking taylor expansion of 0 in b 12.574 * [backup-simplify]: Simplify 0 into 0 12.574 * [backup-simplify]: Simplify 0 into 0 12.574 * [backup-simplify]: Simplify 0 into 0 12.574 * [backup-simplify]: Simplify 0 into 0 12.575 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 b) 1)) (* 1.0 (* 1 (/ 1 a)))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 12.575 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) into (- (* 1.0 b) (* 1.0 a)) 12.575 * [approximate]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in (a b) around 0 12.575 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 12.575 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.575 * [taylor]: Taking taylor expansion of 1.0 in b 12.575 * [backup-simplify]: Simplify 1.0 into 1.0 12.575 * [taylor]: Taking taylor expansion of b in b 12.575 * [backup-simplify]: Simplify 0 into 0 12.575 * [backup-simplify]: Simplify 1 into 1 12.575 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.575 * [taylor]: Taking taylor expansion of 1.0 in b 12.575 * [backup-simplify]: Simplify 1.0 into 1.0 12.575 * [taylor]: Taking taylor expansion of a in b 12.575 * [backup-simplify]: Simplify a into a 12.575 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 12.575 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.575 * [taylor]: Taking taylor expansion of 1.0 in a 12.575 * [backup-simplify]: Simplify 1.0 into 1.0 12.575 * [taylor]: Taking taylor expansion of b in a 12.575 * [backup-simplify]: Simplify b into b 12.575 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.575 * [taylor]: Taking taylor expansion of 1.0 in a 12.575 * [backup-simplify]: Simplify 1.0 into 1.0 12.575 * [taylor]: Taking taylor expansion of a in a 12.575 * [backup-simplify]: Simplify 0 into 0 12.575 * [backup-simplify]: Simplify 1 into 1 12.575 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 12.575 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.575 * [taylor]: Taking taylor expansion of 1.0 in a 12.575 * [backup-simplify]: Simplify 1.0 into 1.0 12.575 * [taylor]: Taking taylor expansion of b in a 12.575 * [backup-simplify]: Simplify b into b 12.575 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.575 * [taylor]: Taking taylor expansion of 1.0 in a 12.575 * [backup-simplify]: Simplify 1.0 into 1.0 12.576 * [taylor]: Taking taylor expansion of a in a 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify 1 into 1 12.576 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.576 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.576 * [backup-simplify]: Simplify (- 0) into 0 12.576 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 12.576 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.576 * [taylor]: Taking taylor expansion of 1.0 in b 12.576 * [backup-simplify]: Simplify 1.0 into 1.0 12.576 * [taylor]: Taking taylor expansion of b in b 12.576 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify 1 into 1 12.577 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.577 * [backup-simplify]: Simplify 0 into 0 12.577 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 12.578 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.578 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.578 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 12.578 * [taylor]: Taking taylor expansion of (- 1.0) in b 12.578 * [taylor]: Taking taylor expansion of 1.0 in b 12.578 * [backup-simplify]: Simplify 1.0 into 1.0 12.579 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.579 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.580 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.580 * [backup-simplify]: Simplify 1.0 into 1.0 12.580 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 12.581 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.581 * [backup-simplify]: Simplify (- 0) into 0 12.581 * [backup-simplify]: Simplify (+ 0 0) into 0 12.581 * [taylor]: Taking taylor expansion of 0 in b 12.581 * [backup-simplify]: Simplify 0 into 0 12.581 * [backup-simplify]: Simplify 0 into 0 12.582 * [backup-simplify]: Simplify (- 0) into 0 12.582 * [backup-simplify]: Simplify 0 into 0 12.582 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.582 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 12.584 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.584 * [backup-simplify]: Simplify (- 0) into 0 12.584 * [backup-simplify]: Simplify (+ 0 0) into 0 12.584 * [taylor]: Taking taylor expansion of 0 in b 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [backup-simplify]: Simplify (- 0) into 0 12.584 * [backup-simplify]: Simplify 0 into 0 12.585 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- b)) 1)) (* (- 1.0) (* 1 (/ 1 (- a))))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 12.585 * * * [progress]: simplifying candidates 12.591 * [simplify]: Simplifying: (- (+ (- (log PI) (log 2.0)) (log 1.0)) (log (+ a b))) (- (+ (log (/ PI 2.0)) (log 1.0)) (log (+ a b))) (- (log (* (/ PI 2.0) 1.0)) (log (+ a b))) (log (/ (* (/ PI 2.0) 1.0) (+ a b))) (exp (/ (* (/ PI 2.0) 1.0) (+ a b))) (/ (* (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) 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(/ 1 a)) (* 1.0 (/ 1 b))) 12.595 * * [simplify]: iteration 0: 351 enodes 12.716 * * [simplify]: iteration 1: 1174 enodes 13.031 * * [simplify]: iteration complete: 5001 enodes 13.031 * * [simplify]: Extracting #0: cost 226 inf + 0 13.034 * * [simplify]: Extracting #1: cost 1622 inf + 3 13.041 * * [simplify]: Extracting #2: cost 2157 inf + 7479 13.088 * * [simplify]: Extracting #3: cost 1567 inf + 152798 13.205 * * [simplify]: Extracting #4: cost 550 inf + 466156 13.395 * * [simplify]: Extracting #5: cost 85 inf + 651100 13.552 * * [simplify]: Extracting #6: cost 3 inf + 681243 13.723 * * [simplify]: Extracting #7: cost 0 inf + 681922 13.908 * [simplify]: Simplified to: (log (/ (/ PI 2.0) (/ (+ a b) 1.0))) (log (/ (/ PI 2.0) (/ (+ a b) 1.0))) (log (/ (/ PI 2.0) (/ (+ a b) 1.0))) (log (/ (/ PI 2.0) (/ (+ a b) 1.0))) (exp (/ (/ PI 2.0) (/ (+ a b) 1.0))) (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (+ a b) (+ a b))) (/ (* 1.0 (* 1.0 1.0)) (+ a b))) (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) 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(/ 1 a) (/ 1 b)) (/ (- 1.0) b) 0 0 0 (/ 1.0 (* b a)) (/ 1.0 (* b a)) (/ 1.0 (* b a)) 0 0 0 (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) 13.933 * * * [progress]: adding candidates to table 15.644 * [progress]: [Phase 3 of 3] Extracting. 15.645 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 15.650 * * * [regime-changes]: Trying 2 branch expressions: (b a) 15.651 * * * * [regimes]: Trying to branch on b from (# # # # # # # # #) 15.731 * * * * [regimes]: Trying to branch on a from (# # # # # # # # #) 15.791 * * * [regime]: Found split indices: #