* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- b (+ (pow (cotan b) a) (asin b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- b (+ (asin b) (pow (cotan b) a))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (cotan b) in (b) around 0 * [misc]taylor: Taking taylor expansion of (cotan b) in b * [misc]taylor: Taking taylor expansion of (/ (cos b) (sin b)) in b * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cotan b) in b * [misc]taylor: Taking taylor expansion of (/ (cos b) (sin b)) in b * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* -1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (- (/ 1/24 1) (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* -1/3 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/45 * [misc]backup-simplify: Simplify -1/45 into -1/45 * [misc]backup-simplify: Simplify (+ (* -1/45 (pow b 3)) (+ (* -1/3 b) (* 1 (/ 1 b)))) into (- (/ 1 b) (+ (* 1/3 b) (* 1/45 (pow b 3)))) * [misc]approximate: Taking taylor expansion of (cotan (/ 1 b)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (cotan (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 b)) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 b)) (sin (/ 1 b))) into (/ (cos (/ 1 b)) (sin (/ 1 b))) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 b)) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 b)) (sin (/ 1 b))) into (/ (cos (/ 1 b)) (sin (/ 1 b))) * [misc]backup-simplify: Simplify (/ (cos (/ 1 b)) (sin (/ 1 b))) into (/ (cos (/ 1 b)) (sin (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 b))) (+ (* (/ (cos (/ 1 b)) (sin (/ 1 b))) (/ 0 (sin (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 b))) (+ (* (/ (cos (/ 1 b)) (sin (/ 1 b))) (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 b))) (+ (* (/ (cos (/ 1 b)) (sin (/ 1 b))) (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 b))) (+ (* (/ (cos (/ 1 b)) (sin (/ 1 b))) (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 b))) (+ (* (/ (cos (/ 1 b)) (sin (/ 1 b))) (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 b))) (+ (* (/ (cos (/ 1 b)) (sin (/ 1 b))) (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))) (* 0 (/ 0 (sin (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 b)) (sin (/ 1 b))) into (/ (cos (/ 1 b)) (sin (/ 1 b))) * [misc]approximate: Taking taylor expansion of (cotan (/ 1 (- b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- b))) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 b)) (sin (/ -1 b))) into (/ (cos (/ -1 b)) (sin (/ -1 b))) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- b))) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 b)) (sin (/ -1 b))) into (/ (cos (/ -1 b)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (/ (cos (/ -1 b)) (sin (/ -1 b))) into (/ (cos (/ -1 b)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 b))) (+ (* (/ (cos (/ -1 b)) (sin (/ -1 b))) (/ 0 (sin (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 b))) (+ (* (/ (cos (/ -1 b)) (sin (/ -1 b))) (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 b))) (+ (* (/ (cos (/ -1 b)) (sin (/ -1 b))) (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 b))) (+ (* (/ (cos (/ -1 b)) (sin (/ -1 b))) (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 b))) (+ (* (/ (cos (/ -1 b)) (sin (/ -1 b))) (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 b))) (+ (* (/ (cos (/ -1 b)) (sin (/ -1 b))) (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))) (* 0 (/ 0 (sin (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 b)) (sin (/ -1 b))) into (/ (cos (/ -1 b)) (sin (/ -1 b))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (- b (+ (pow (- (/ 1 b) (+ (* 1/3 b) (* 1/45 (pow b 3)))) a) (asin b))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- (- b (pow (- (- (/ 1 b) (* b 1/3)) (* (cube b) 1/45)) a)) (asin b)) * * * * [misc]progress: [ 2 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (- b (+ (pow (/ (cos (/ 1 b)) (sin (/ 1 b))) a) (asin b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (- (- b (pow (/ (cos (/ 1 b)) (sin (/ 1 b))) a)) (asin b)) * * * * [misc]progress: [ 3 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (- b (+ (pow (/ (cos (/ -1 b)) (sin (/ -1 b))) a) (asin b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (- b (pow (/ (cos (/ -1 b)) (sin (/ -1 b))) a)) (asin b)) * * * * [misc]progress: [ 4 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (cos b) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos b) * [exit]simplify: Simplified to (cos b) * [enter]simplify: Simplifying (sin b) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin b) * [exit]simplify: Simplified to (sin b) * * * * [misc]progress: [ 5 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (tan b) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan b) * [exit]simplify: Simplified to (tan b) * * * * [misc]progress: [ 6 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cotan b)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (cotan b)) * [exit]simplify: Simplified to (log (cotan b)) * * * * [misc]progress: [ 8 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cotan b)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (cotan b)) * [exit]simplify: Simplified to (exp (cotan b)) * * * * [misc]progress: [ 9 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cotan b)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (cotan b)) * [exit]simplify: Simplified to (cbrt (cotan b)) * * * * [misc]progress: [ 10 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cotan b)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (cotan b)) * [exit]simplify: Simplified to (cube (cotan b)) * * * * [misc]progress: [ 11 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cotan b)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cotan b)) * [exit]simplify: Simplified to (sqrt (cotan b)) * * * * [misc]progress: [ 12 / 12 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (#) * [misc]regimes: Found splitpoints: (#s(sp 0 a +inf.0)) , with alts (#) * [enter]simplify: Simplifying (- b (+ (pow (cotan b) a) (asin b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- b (+ (asin b) (pow (cotan b) a)))