* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (* (* 6 v) v) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 1) (* 0 0)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 6 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 1) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 6 -1) into -6 * [misc]backup-simplify: Simplify (* -6 -1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) * [misc]backup-simplify: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) * [misc]approximate: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * [misc]approximate: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (/ -4/3 PI) into (/ -4/3 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 v) v))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 v) v)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 6 1) (* 0 0)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 6 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* PI (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) 1) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 v) v))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 v) v)) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 v) v) in v * [misc]taylor: Taking taylor expansion of (* 6 v) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 6 1) (* 0 0)) into 6 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 6 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) (sqrt 2)) into (/ 4/3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (/ 4/3 (* PI (sqrt 2))) into (/ 4/3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 1) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ -1 1)) (* (* 4/3 (/ 1 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ (/ -3 (sqrt 2)) (sqrt 2))) (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4/3 PI) (/ 0 1)) (* 0 (/ 0 1)) (* (* 4/3 (/ 1 PI)) (/ -1 1)) (* 0 (/ 0 1)))) into (* 4/3 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (- (/ (* 4/3 (/ 1 PI)) (sqrt 2)) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ (/ -9/2 (pow (sqrt 2) 3)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (/ (/ -3 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (pow v 2)) (/ 4/3 (* PI (sqrt 2))))) into (+ (* 4/3 (/ (pow v 2) (* PI (sqrt 2)))) (+ (* 4/3 (/ 1 (* PI (sqrt 2)))) (+ (* 4 (/ (pow v 2) (* PI (pow (sqrt 2) 3)))) (+ (* 4 (/ (pow v 4) (* PI (pow (sqrt 2) 3)))) (+ (* 4/3 (/ (pow v 4) (* PI (sqrt 2)))) (* 18 (/ (pow v 4) (* PI (pow (sqrt 2) 5))))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 v)) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 v)) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 v)) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 v)) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 6 1) into 6 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 v) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 v) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (+ (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7))))) (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 6 -1) into -6 * [misc]backup-simplify: Simplify (* -6 -1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (/ 4/3 PI) in v * [misc]taylor: Taking taylor expansion of 4/3 in v * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4/3 PI) into (/ 4/3 PI) * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ 4/3 PI) -1) into (/ -4/3 PI) * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* (* 6 (/ 1 (- v))) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (* 6 (/ 1 (- v))) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 6 -1) into -6 * [misc]backup-simplify: Simplify (* -6 -1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (/ (/ -4/3 PI) (sqrt -6)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 1 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 0 -1)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (sqrt -6))) (* 0 (/ (/ 1 (sqrt -6)) (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4/3 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 4/3 (/ 1 PI))) (/ 1 -1)) (* 0 (/ 0 -1)))) into (- (* 4/3 (/ 1 PI))) * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (/ (- (* 4/3 (/ 1 PI))) (sqrt -6)) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (/ -1/2 (pow (sqrt -6) 3)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (/ 1 (sqrt -6)) (sqrt -6))) (* 0 (/ 0 (sqrt -6))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 (- v)) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 214 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 4/3 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (/ 4/3 PI)) * [exit]simplify: Simplified to (log (/ 4/3 PI)) * * * * [misc]progress: [ 3 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 4/3 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (/ 4/3 PI)) * [exit]simplify: Simplified to (exp (/ 4/3 PI)) * * * * [misc]progress: [ 4 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [enter]simplify: Simplifying (cbrt (/ 4/3 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ 4/3 PI)) * [exit]simplify: Simplified to (cbrt (/ 4/3 PI)) * * * * [misc]progress: [ 5 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 4/3 PI) (/ 4/3 PI)) (/ 4/3 PI)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (/ 64/27 PI) (* PI PI)) * [exit]simplify: Simplified to (/ (/ 64/27 PI) (* PI PI)) * * * * [misc]progress: [ 6 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4/3 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [enter]simplify: Simplifying (sqrt (/ 4/3 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * * * * [misc]progress: [ 7 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (- 4/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to -4/3 * [exit]simplify: Simplified to -4/3 * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * * * * [misc]progress: [ 8 / 214 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [exit]simplify: Simplified to (/ 1 PI) * * * * [misc]progress: [ 10 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 4/3) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 4/3) * [exit]simplify: Simplified to (/ PI 4/3) * * * * [misc]progress: [ 11 / 214 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* 6 v) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (log (* 6 (* v v))) * [exit]simplify: Simplified to (log (* 6 (* v v))) * * * * [misc]progress: [ 13 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* 6 v) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (* (* v v) 6)) * [exit]simplify: Simplified to (exp (* (* v v) 6)) * * * * [misc]progress: [ 14 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* 6 v) v)) (cbrt (* (* 6 v) v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* 6 (* v v))) (cbrt (* 6 (* v v)))) * [exit]simplify: Simplified to (* (cbrt (* 6 (* v v))) (cbrt (* 6 (* v v)))) * [enter]simplify: Simplifying (cbrt (* (* 6 v) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (* v 6) v)) * [exit]simplify: Simplified to (cbrt (* (* v 6) v)) * * * * [misc]progress: [ 15 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* 6 v) v) (* (* 6 v) v)) (* (* 6 v) v)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (317 enodes) * [exit]simplify: Simplified to (* (* (* v v) (* v 36)) (* (* v 6) (* v v))) * [exit]simplify: Simplified to (* (* (* v v) (* v 36)) (* (* v 6) (* v v))) * * * * [misc]progress: [ 16 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* 6 v) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (* v 6) v)) * [exit]simplify: Simplified to (sqrt (* (* v 6) v)) * [enter]simplify: Simplifying (sqrt (* (* 6 v) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* (* v 6) v)) * [exit]simplify: Simplified to (sqrt (* (* v 6) v)) * * * * [misc]progress: [ 17 / 214 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (* v v) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* v v) * [exit]simplify: Simplified to (* v v) * * * * [misc]progress: [ 19 / 214 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 214 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) * [exit]simplify: Simplified to (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) * * * * [misc]progress: [ 22 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 4/3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (log (/ (/ 4/3 PI) (- 1 (* v v)))) * [exit]simplify: Simplified to (log (/ (/ 4/3 PI) (- 1 (* v v)))) * * * * [misc]progress: [ 23 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 4/3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (exp (/ (/ 4/3 PI) (- 1 (* v v)))) * [exit]simplify: Simplified to (exp (/ (/ 4/3 PI) (- 1 (* v v)))) * * * * [misc]progress: [ 24 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 4/3 PI) (/ 4/3 PI)) (/ 4/3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ 64/27 PI) (* PI PI)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (/ (/ (/ 64/27 PI) (* PI PI)) (- 1 (* v v))) (* (- 1 (* v v)) (- 1 (* v v)))) * * * * [misc]progress: [ 25 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [enter]simplify: Simplifying (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) * [exit]simplify: Simplified to (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) * * * * [misc]progress: [ 26 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 4/3 PI) (- 1 (* v v))) (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (/ 4/3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (pow (/ (/ 4/3 PI) (- 1 (* v v))) 3) * [exit]simplify: Simplified to (pow (/ (/ 4/3 PI) (- 1 (* v v))) 3) * * * * [misc]progress: [ 27 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) * [exit]simplify: Simplified to (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) * [enter]simplify: Simplifying (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) * [exit]simplify: Simplified to (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) * * * * [misc]progress: [ 28 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 4/3 PI)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ -4/3 PI) * [exit]simplify: Simplified to (/ -4/3 PI) * [enter]simplify: Simplifying (- (- 1 (* v v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (+ (* v v) -1) * [exit]simplify: Simplified to (+ (* v v) -1) * * * * [misc]progress: [ 29 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * * * * [misc]progress: [ 30 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * * * [misc]progress: [ 31 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [enter]simplify: Simplifying (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) * [exit]simplify: Simplified to (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) * * * * [misc]progress: [ 32 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) * * * * [misc]progress: [ 33 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * * * * [misc]progress: [ 34 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [enter]simplify: Simplifying (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) * * * * [misc]progress: [ 35 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) * * * * [misc]progress: [ 36 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * * * * [misc]progress: [ 37 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 4/3 PI) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * * * * [misc]progress: [ 38 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ 1 PI) (cbrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (cbrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (/ 1 PI) (cbrt (- 1 (* v v)))) * * * * [misc]progress: [ 39 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (/ 1 PI) (sqrt (- 1 (* v v)))) * * * * [misc]progress: [ 40 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4/3 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 4/3 * [exit]simplify: Simplified to 4/3 * [enter]simplify: Simplifying (/ (/ 1 PI) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ 1 PI) (- 1 (* v v))) * [exit]simplify: Simplified to (/ (/ 1 PI) (- 1 (* v v))) * * * * [misc]progress: [ 41 / 214 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- 1 (* v v))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ 1 (- 1 (* v v))) * [exit]simplify: Simplified to (/ 1 (- 1 (* v v))) * * * * [misc]progress: [ 43 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* v v)) (/ 4/3 PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (/ 4/3 PI)) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (/ 4/3 PI)) * * * * [misc]progress: [ 44 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * * * * [misc]progress: [ 45 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) * * * * [misc]progress: [ 46 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 4/3 PI) * [exit]simplify: Simplified to (/ 4/3 PI) * * * * [misc]progress: [ 47 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* v v)) (cbrt (/ 4/3 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (cbrt (/ 4/3 PI))) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (cbrt (/ 4/3 PI))) * * * * [misc]progress: [ 48 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* v v)) (sqrt (/ 4/3 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (sqrt (/ 4/3 PI))) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (sqrt (/ 4/3 PI))) * * * * [misc]progress: [ 49 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* v v)) (/ 4/3 PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (/ 4/3 PI)) * [exit]simplify: Simplified to (/ (- 1 (* v v)) (/ 4/3 PI)) * * * * [misc]progress: [ 50 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (* v v)) (/ 1 PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (- PI (* PI (* v v))) * [exit]simplify: Simplified to (- PI (* PI (* v v))) * * * * [misc]progress: [ 51 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * * * * [misc]progress: [ 52 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * * * * [misc]progress: [ 53 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 (* v v)) PI) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- PI (* v (* v PI))) * [exit]simplify: Simplified to (- PI (* v (* v PI))) * * * * [misc]progress: [ 54 / 214 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (+ (* v (* -6 v)) 2)))) * [exit]simplify: Simplified to (- (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (sqrt (+ (* v (* -6 v)) 2)))) * * * * [misc]progress: [ 56 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (- (log (/ (/ 4/3 PI) (- 1 (* v v)))) (log (sqrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 57 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) * [exit]simplify: Simplified to (log (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* (* v v) -6))))) * * * * [misc]progress: [ 58 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (exp (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (exp (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 59 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ 4/3 PI) (/ 4/3 PI)) (/ 4/3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* (* 6 v) v))) (sqrt (- 2 (* (* 6 v) v)))) (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (/ (+ (* (* -6 v) v) 2) (/ (/ 4/3 PI) (- 1 (* v v))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2)))) * [exit]simplify: Simplified to (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (/ (+ (* (* -6 v) v) 2) (/ (/ 4/3 PI) (- 1 (* v v))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2)))) * * * * [misc]progress: [ 60 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ 4/3 PI) (- 1 (* v v))) (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (/ 4/3 PI) (- 1 (* v v)))) (* (* (sqrt (- 2 (* (* 6 v) v))) (sqrt (- 2 (* (* 6 v) v)))) (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * [exit]simplify: Simplified to (* (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (- 2 (* v (* 6 v)))) (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) * [exit]simplify: Simplified to (* (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (- 2 (* v (* 6 v)))) (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) * * * * [misc]progress: [ 61 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 62 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))) 3) * [exit]simplify: Simplified to (pow (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))) 3) * * * * [misc]progress: [ 63 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * [enter]simplify: Simplifying (sqrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 64 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 4/3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ -4/3 PI) (- 1 (* v v))) * [exit]simplify: Simplified to (/ (/ -4/3 PI) (- 1 (* v v))) * [enter]simplify: Simplifying (- (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (* -6 (* v v)) 2))) * [exit]simplify: Simplified to (- (sqrt (+ (* -6 (* v v)) 2))) * * * * [misc]progress: [ 65 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v)))))) (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* v (* 6 v))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 66 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (fabs (cbrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (fabs (cbrt (+ (* (* v -6) v) 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 67 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 68 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2))) * * * * [misc]progress: [ 69 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (sqrt (- 2 (* v (* 6 v)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 70 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2))) * [exit]simplify: Simplified to (/ (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2))) * * * * [misc]progress: [ 71 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (* (cbrt (sqrt (+ (* -6 (* v v)) 2))) (cbrt (sqrt (+ (* -6 (* v v)) 2))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (* (cbrt (sqrt (+ (* -6 (* v v)) 2))) (cbrt (sqrt (+ (* -6 (* v v)) 2))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 72 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (fabs (cbrt (+ (* -6 (* v v)) 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 73 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 74 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) * [exit]simplify: Simplified to (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2))) * * * * [misc]progress: [ 75 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 76 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) * [exit]simplify: Simplified to (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (+ (* (* v v) -6) 2))) * * * * [misc]progress: [ 77 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [exit]simplify: Simplified to (* (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 78 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ 2 (* (* v -6) v))))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ 2 (* (* v -6) v))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 79 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* -6 v) v))))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* -6 v) v))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 80 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * * * [misc]progress: [ 81 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* -6 v) v))))) * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) (sqrt (sqrt (+ 2 (* (* -6 v) v))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 82 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * * * [misc]progress: [ 83 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v -6) v))))) (cbrt (sqrt (+ 2 (* (* v -6) v))))) * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* (* v -6) v))))) (cbrt (sqrt (+ 2 (* (* v -6) v))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 84 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ 2 (* (* -6 v) v))))) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (fabs (cbrt (+ 2 (* (* -6 v) v))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 85 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 86 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * * * [misc]progress: [ 87 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 88 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * * * [misc]progress: [ 89 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ 2 (* -6 (* v v)))))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ 2 (* -6 (* v v))))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ 2 (* -6 (* v v)))))) (/ (cbrt (/ 4/3 PI)) (cbrt (sqrt (+ 2 (* -6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 90 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 91 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 92 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))) * * * * [misc]progress: [ 93 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 94 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [exit]simplify: Simplified to (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))) * [exit]simplify: Simplified to (/ (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))) * * * * [misc]progress: [ 95 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (sqrt (+ 2 (* (* v -6) v))))) (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (sqrt (+ 2 (* (* v -6) v))))) (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 96 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ 2 (* (* v -6) v))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (+ 2 (* (* v -6) v))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 97 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 98 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * * * [misc]progress: [ 99 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 100 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * * * [misc]progress: [ 101 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* v (* -6 v))))) (cbrt (sqrt (+ 2 (* v (* -6 v))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (+ 2 (* v (* -6 v))))) (cbrt (sqrt (+ 2 (* v (* -6 v))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 102 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 103 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 104 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * * * [misc]progress: [ 105 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * * * * [misc]progress: [ 106 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * * * [misc]progress: [ 107 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (* (cbrt (sqrt (+ (* -6 (* v v)) 2))) (cbrt (sqrt (+ (* -6 (* v v)) 2))))) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (* (cbrt (sqrt (+ (* -6 (* v v)) 2))) (cbrt (sqrt (+ (* -6 (* v v)) 2))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 108 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (+ (* (* -6 v) v) 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (fabs (cbrt (+ (* (* -6 v) v) 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 109 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 110 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))) * * * * [misc]progress: [ 111 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ 4/3 PI)) (sqrt (sqrt (+ (* -6 (* v v)) 2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 112 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [exit]simplify: Simplified to (sqrt (/ 4/3 PI)) * [enter]simplify: Simplifying (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 4/3 PI)) (- 1 (* v v))) (sqrt (+ (* (* -6 v) v) 2))) * * * * [misc]progress: [ 113 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 114 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 115 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 116 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v))))) * * * * [misc]progress: [ 117 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 118 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v))))) * * * * [misc]progress: [ 119 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 120 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 121 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 122 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v))))) * * * * [misc]progress: [ 123 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 124 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ 1 (sqrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* -6 (* v v))))) * * * * [misc]progress: [ 125 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 126 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ 2 (* (* v -6) v))))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ 2 (* (* v -6) v))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 127 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 128 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * * * * [misc]progress: [ 129 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 130 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * * * * [misc]progress: [ 131 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* v (* v -6)))))) (* (cbrt (- 1 (* v v))) (cbrt (sqrt (+ 2 (* v (* v -6))))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ 2 (* v (* v -6)))))) (* (cbrt (- 1 (* v v))) (cbrt (sqrt (+ 2 (* v (* v -6))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * * * * [misc]progress: [ 132 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * * * * [misc]progress: [ 133 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * * * * [misc]progress: [ 134 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [exit]simplify: Simplified to (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * * * [misc]progress: [ 135 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * * * * [misc]progress: [ 136 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [exit]simplify: Simplified to (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * * * [misc]progress: [ 137 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (cbrt (sqrt (+ (* (* v v) -6) 2)))) * * * * [misc]progress: [ 138 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (fabs (cbrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (cbrt (+ (* (* v v) -6) 2)))) * * * * [misc]progress: [ 139 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * * * * [misc]progress: [ 140 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * * * [misc]progress: [ 141 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [exit]simplify: Simplified to (/ (/ 4/3 (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) -6) 2)))) * * * * [misc]progress: [ 142 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 (sqrt (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (/ 4/3 (sqrt (- 1 (* v v)))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * * * [misc]progress: [ 143 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (+ 2 (* v (* v -6)))))) (cbrt (sqrt (+ 2 (* v (* v -6)))))) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (+ 2 (* v (* v -6)))))) (cbrt (sqrt (+ 2 (* v (* v -6)))))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 144 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ 4/3 (fabs (cbrt (+ (* -6 (* v v)) 2)))) * [exit]simplify: Simplified to (/ 4/3 (fabs (cbrt (+ (* -6 (* v v)) 2)))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 145 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ 4/3 (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 146 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to 4/3 * [exit]simplify: Simplified to 4/3 * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) * * * * [misc]progress: [ 147 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ 4/3 (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ 4/3 (sqrt (sqrt (+ (* (* v v) -6) 2)))) * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 148 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 4/3 * [exit]simplify: Simplified to 4/3 * [enter]simplify: Simplifying (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) * [exit]simplify: Simplified to (/ (/ (/ 1 PI) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) * * * * [misc]progress: [ 149 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* (* -6 v) v) 2))) (cbrt (sqrt (+ (* (* -6 v) v) 2))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* (* -6 v) v) 2))) (cbrt (sqrt (+ (* (* -6 v) v) 2))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (cbrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 150 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ 2 (* (* -6 v) v))))) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ 2 (* (* -6 v) v))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (cbrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 151 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v -6) v))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v -6) v))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 152 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * * * * [misc]progress: [ 153 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v -6) v))))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 2 (* (* v -6) v))))) * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 154 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * * * * [misc]progress: [ 155 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (sqrt (+ 2 (* v (* v -6)))))) (cbrt (sqrt (+ 2 (* v (* v -6)))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (cbrt (sqrt (+ 2 (* v (* v -6)))))) (cbrt (sqrt (+ 2 (* v (* v -6)))))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (+ (* (* -6 v) v) 2)))) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (cbrt (sqrt (+ (* (* -6 v) v) 2)))) * * * * [misc]progress: [ 156 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (fabs (cbrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (fabs (cbrt (+ (* (* v v) -6) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (+ (* (* -6 v) v) 2)))) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (cbrt (+ (* (* -6 v) v) 2)))) * * * * [misc]progress: [ 157 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * * * * [misc]progress: [ 158 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 4/3 PI) * [exit]simplify: Simplified to (/ 4/3 PI) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* (* v -6) v)))) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* (* v -6) v)))) * * * * [misc]progress: [ 159 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (sqrt (+ (* (* -6 v) v) 2)))) * * * * [misc]progress: [ 160 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 4/3 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 4/3 PI) * [exit]simplify: Simplified to (/ 4/3 PI) * [enter]simplify: Simplifying (/ (/ 1 (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* (* v -6) v)))) * [exit]simplify: Simplified to (/ (/ 1 (- 1 (* v v))) (sqrt (+ 2 (* (* v -6) v)))) * * * * [misc]progress: [ 161 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (+ 2 (* (* -6 v) v))))) (* (cbrt (sqrt (+ 2 (* (* -6 v) v)))) (* (- 1 (* v (pow v 5))) PI))) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (+ 2 (* (* -6 v) v))))) (* (cbrt (sqrt (+ 2 (* (* -6 v) v)))) (* (- 1 (* v (pow v 5))) PI))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (/ (+ (pow v 4) (+ 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * [exit]simplify: Simplified to (/ (+ (pow v 4) (+ 1 (* v v))) (cbrt (sqrt (+ (* v (* v -6)) 2)))) * * * * [misc]progress: [ 162 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (fabs (cbrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (/ (+ (pow v 4) (+ 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))) * [exit]simplify: Simplified to (/ (+ (pow v 4) (+ 1 (* v v))) (sqrt (cbrt (+ (* v (* v -6)) 2)))) * * * * [misc]progress: [ 163 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (+ 2 (* (* v -6) v))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (+ 2 (* (* v -6) v))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (/ (+ (pow v 4) (+ 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [exit]simplify: Simplified to (/ (+ (pow v 4) (+ 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * * * * [misc]progress: [ 164 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (+ (pow v 4) (+ 1 (* v v))) (sqrt (+ 2 (* v (* v -6))))) * [exit]simplify: Simplified to (/ (+ (pow v 4) (+ 1 (* v v))) (sqrt (+ 2 (* v (* v -6))))) * * * * [misc]progress: [ 165 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (+ 2 (* (* v -6) v))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 6))) (sqrt (sqrt (+ 2 (* (* v -6) v))))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (/ (+ (pow v 4) (+ 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * [exit]simplify: Simplified to (/ (+ (pow v 4) (+ 1 (* v v))) (sqrt (sqrt (+ (* v (* v -6)) 2)))) * * * * [misc]progress: [ 166 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 6))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (+ (pow v 4) (+ 1 (* v v))) (sqrt (+ 2 (* v (* v -6))))) * [exit]simplify: Simplified to (/ (+ (pow v 4) (+ 1 (* v v))) (sqrt (+ 2 (* v (* v -6))))) * * * * [misc]progress: [ 167 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (- PI (* (pow v 4) PI)))) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (- 2 (* 6 (* v v)))))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (- PI (* (pow v 4) PI)))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (cbrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (cbrt (sqrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (cbrt (sqrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 168 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (+ 2 (* (* v -6) v))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (fabs (cbrt (+ 2 (* (* v -6) v))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (cbrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (cbrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 169 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ 2 (* (* -6 v) v))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ 2 (* (* -6 v) v))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 170 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (+ (* (* -6 v) v) 2))) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (+ (* (* -6 v) v) 2))) * * * * [misc]progress: [ 171 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ 2 (* (* -6 v) v))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (sqrt (+ 2 (* (* -6 v) v))))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (sqrt (+ (* (* v -6) v) 2)))) * * * * [misc]progress: [ 172 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (pow v 4))) * [enter]simplify: Simplifying (/ (+ 1 (* v v)) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (+ (* (* -6 v) v) 2))) * [exit]simplify: Simplified to (/ (+ 1 (* v v)) (sqrt (+ (* (* -6 v) v) 2))) * * * * [misc]progress: [ 173 / 214 ] simplifiying candidate # * * * * [misc]progress: [ 174 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- 2 (* (* v v) 6)))) * [exit]simplify: Simplified to (/ 1 (sqrt (- 2 (* (* v v) 6)))) * * * * [misc]progress: [ 175 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (/ 4/3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* v v)) (/ 4/3 PI)) (sqrt (+ 2 (* (* v v) -6)))) * [exit]simplify: Simplified to (* (/ (- 1 (* v v)) (/ 4/3 PI)) (sqrt (+ 2 (* (* v v) -6)))) * * * * [misc]progress: [ 176 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* (* 6 v) v)))) (cbrt (sqrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (+ 2 (* (* v -6) v))))) (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (- PI (* (* v v) PI)))) * [exit]simplify: Simplified to (/ (/ 4/3 (cbrt (sqrt (+ 2 (* (* v -6) v))))) (* (cbrt (sqrt (+ 2 (* (* v -6) v)))) (- PI (* (* v v) PI)))) * * * * [misc]progress: [ 177 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* (* 6 v) v))) (cbrt (- 2 (* (* 6 v) v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (fabs (cbrt (- 2 (* (* v v) 6))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (fabs (cbrt (- 2 (* (* v v) 6))))) * * * * [misc]progress: [ 178 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 179 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * * * * [misc]progress: [ 180 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 181 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * * * * [misc]progress: [ 182 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -6) 2)) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -6) 2)) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) * * * * [misc]progress: [ 183 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (sqrt (/ (/ 4/3 PI) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -6) 2)) (sqrt (/ (/ 4/3 PI) (- 1 (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -6) 2)) (sqrt (/ (/ 4/3 PI) (- 1 (* v v))))) * * * * [misc]progress: [ 184 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 2 (* -6 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (+ 2 (* -6 (* v v)))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * * * * [misc]progress: [ 185 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 2 (* -6 (* v v)))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (+ 2 (* -6 (* v v)))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) * * * * [misc]progress: [ 186 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -6) 2)) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -6) 2)) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v)))) * * * * [misc]progress: [ 187 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 2 (* -6 (* v v)))) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (+ 2 (* -6 (* v v)))) (/ (sqrt (/ 4/3 PI)) (cbrt (- 1 (* v v))))) * * * * [misc]progress: [ 188 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 2 (* -6 (* v v)))) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (+ 2 (* -6 (* v v)))) (/ (sqrt (/ 4/3 PI)) (sqrt (- 1 (* v v))))) * * * * [misc]progress: [ 189 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (sqrt (/ 4/3 PI)) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -6) 2)) (/ (sqrt (/ 4/3 PI)) (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (+ (* (* v v) -6) 2)) (/ (sqrt (/ 4/3 PI)) (- 1 (* v v)))) * * * * [misc]progress: [ 190 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* v v))) (/ 4/3 PI)) (sqrt (- 2 (* v (* v 6))))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (* v v))) (/ 4/3 PI)) (sqrt (- 2 (* v (* v 6))))) * * * * [misc]progress: [ 191 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) (/ 4/3 PI)) (sqrt (- 2 (* v (* v 6))))) * [exit]simplify: Simplified to (* (/ (sqrt (- 1 (* v v))) (/ 4/3 PI)) (sqrt (- 2 (* v (* v 6))))) * * * * [misc]progress: [ 192 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (/ 4/3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* v v)) (/ 4/3 PI)) (sqrt (+ 2 (* (* v v) -6)))) * [exit]simplify: Simplified to (* (/ (- 1 (* v v)) (/ 4/3 PI)) (sqrt (+ 2 (* (* v v) -6)))) * * * * [misc]progress: [ 193 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (/ 1 PI) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (* PI (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * [exit]simplify: Simplified to (* (* PI (cbrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * * * [misc]progress: [ 194 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (/ 1 PI) (sqrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (* PI (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * [exit]simplify: Simplified to (* (* PI (sqrt (- 1 (* v v)))) (sqrt (+ 2 (* (* v v) -6)))) * * * * [misc]progress: [ 195 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (/ 1 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (* (- PI (* v (* PI v))) (sqrt (+ (* v (* v -6)) 2))) * [exit]simplify: Simplified to (* (- PI (* v (* PI v))) (sqrt (+ (* v (* v -6)) 2))) * * * * [misc]progress: [ 196 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ (/ 4/3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* v v)) (/ 4/3 PI)) (sqrt (+ 2 (* (* v v) -6)))) * [exit]simplify: Simplified to (* (/ (- 1 (* v v)) (/ 4/3 PI)) (sqrt (+ 2 (* (* v v) -6)))) * * * * [misc]progress: [ 197 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (/ 1 (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))) * [exit]simplify: Simplified to (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))) * * * * [misc]progress: [ 198 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 2 (* (* v -6) v))) (+ (* v v) (+ (pow v 4) 1))) * [exit]simplify: Simplified to (/ (sqrt (+ 2 (* (* v -6) v))) (+ (* v v) (+ (pow v 4) 1))) * * * * [misc]progress: [ 199 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 2 (* (* 6 v) v))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 2 (* v (* v 6)))) (+ (* v v) 1)) * [exit]simplify: Simplified to (/ (sqrt (- 2 (* v (* v 6)))) (+ (* v v) 1)) * * * * [misc]progress: [ 200 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* (* 6 v) v) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 8 (* (* (* v v) (* v v)) (* (* v v) 216))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 8 (* (* (* v v) (* v v)) (* (* v v) 216))))) * * * * [misc]progress: [ 201 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* (* 6 v) v) (* (* 6 v) v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * * [misc]simplify: iters left: 2 (483 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 4 (* 36 (pow v 4))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 4 (* 36 (pow v 4))))) * * * * [misc]progress: [ 202 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- 2 (* (* 6 v) v))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * [exit]simplify: Simplified to (* (- 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))) * * * * [misc]progress: [ 203 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * * * * [misc]progress: [ 204 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * * * * [misc]progress: [ 205 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))) * * * * [misc]progress: [ 206 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (pow v 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* (* v -6) v) 2))) * * * * [misc]progress: [ 207 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (pow v 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* (* v -6) v) 2))) * * * * [misc]progress: [ 208 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (pow v 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* (* v -6) v) 2))) * * * * [misc]progress: [ 209 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (/ (+ (* (/ 4/3 PI) (+ (pow v 4) (* v v))) (/ 4/3 PI)) (sqrt (+ 2 (* -6 (* v v))))) * * * * [misc]progress: [ 210 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (/ (+ (+ (/ (/ -4/3 PI) (* v v)) (/ (/ -4/3 PI) (pow v 4))) (/ (/ -4/3 PI) (pow v 6))) (sqrt (+ 2 (* (* v -6) v)))) * * * * [misc]progress: [ 211 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 4/3 (/ 1 (* PI (pow v 2)))) (+ (* 4/3 (/ 1 (* PI (pow v 4)))) (* 4/3 (/ 1 (* PI (pow v 6))))))) (sqrt (- 2 (* (* 6 v) v)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (/ (+ (+ (/ (/ -4/3 PI) (* v v)) (/ (/ -4/3 PI) (pow v 4))) (/ (/ -4/3 PI) (pow v 6))) (sqrt (+ 2 (* (* v -6) v)))) * * * * [misc]progress: [ 212 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) (* PI (sqrt 2)))) (+ (* 4/3 (/ 1 (* PI (sqrt 2)))) (+ (* 4 (/ (pow v 2) (* PI (pow (sqrt 2) 3)))) (+ (* 4 (/ (pow v 4) (* PI (pow (sqrt 2) 3)))) (+ (* 4/3 (/ (pow v 4) (* PI (sqrt 2)))) (* 18 (/ (pow v 4) (* PI (pow (sqrt 2) 5))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (/ v PI) v) (/ 2 (sqrt 2))) (/ (/ 4/3 PI) (sqrt 2))) (+ (* (/ (pow v 4) PI) (+ (/ 4/3 (sqrt 2)) (/ 2 (sqrt 2)))) (+ (/ (* (/ 18 PI) (pow v 4)) (pow (sqrt 2) 5)) (/ (* (/ 4/3 PI) (* v v)) (sqrt 2))))) * * * * [misc]progress: [ 213 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (+ (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7))))) (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (/ -2/9 (sqrt -6)) (* PI (pow v 5))) (/ (/ -2/9 (sqrt -6)) (* (pow v 7) PI))) (/ -4/3 (* (* PI (pow v 5)) (sqrt -6)))) (+ (+ (/ (/ 4/3 (sqrt -6)) (* (* v PI) (* v v))) (/ (/ 4/3 (sqrt -6)) (* (pow v 7) PI))) (/ (/ 2 (pow (sqrt -6) 5)) (* (pow v 7) PI)))) * * * * [misc]progress: [ 214 / 214 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (/ 4/3 (sqrt -6)) (* (* v v) (* v PI))) (/ (/ -2/9 (sqrt -6)) (* PI (pow v 5)))) (/ (/ -2/9 (sqrt -6)) (* PI (pow v 7)))) (+ (+ (/ (/ 4/3 PI) (* (pow v 5) (sqrt -6))) (/ (/ 4/3 PI) (* (pow v 7) (sqrt -6)))) (/ (/ 2 (pow (sqrt -6) 5)) (* PI (pow v 7))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 3 PI) 1) into (* 3 PI) * [misc]backup-simplify: Simplify (* (* 3 PI) (sqrt 2)) into (* 3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (/ 4 (* 3 (* PI (sqrt 2)))) into (/ 4/3 (* PI (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 3 PI) 1) into (* 3 PI) * [misc]backup-simplify: Simplify (* (* 3 PI) (sqrt 2)) into (* 3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (/ 4 (* 3 (* PI (sqrt 2)))) into (/ 4/3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (/ 4/3 (* PI (sqrt 2))) into (/ 4/3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 (* PI (sqrt 2)))) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ 0 (* 3 (* PI (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 6 1) (+ (* 0 0) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) -1) (+ (* 0 0) (* 0 1))) into (- (* 3 PI)) * [misc]backup-simplify: Simplify (+ (* (* 3 PI) (/ -3 (sqrt 2))) (+ (* 0 0) (* (- (* 3 PI)) (sqrt 2)))) into (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) * [misc]backup-simplify: Simplify (- (/ 0 (* 3 (* PI (sqrt 2)))) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) (* 3 (* PI (sqrt 2))))) (* 0 (/ 0 (* 3 (* PI (sqrt 2))))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 (/ -3 (sqrt 2))) (+ (* (- (* 3 PI)) 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 3 (* PI (sqrt 2)))) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ 0 (* 3 (* PI (sqrt 2))))) (* 0 (/ (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) (* 3 (* PI (sqrt 2))))) (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (/ 0 (* 3 (* PI (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) (/ -9/2 (pow (sqrt 2) 3))) (+ (* 0 0) (+ (* (- (* 3 PI)) (/ -3 (sqrt 2))) (+ (* 0 0) (* 0 (sqrt 2)))))) into (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (/ 0 (* 3 (* PI (sqrt 2)))) (+ (* (/ 4/3 (* PI (sqrt 2))) (/ (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) (* 3 (* PI (sqrt 2))))) (* 0 (/ 0 (* 3 (* PI (sqrt 2))))) (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (/ (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) (* 3 (* PI (sqrt 2))))) (* 0 (/ 0 (* 3 (* PI (sqrt 2))))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) into (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (+ (* 18 (/ 1 (* PI (pow (sqrt 2) 5)))) (* 4/3 (/ 1 (* PI (sqrt 2)))))) (pow v 4)) (+ (* (+ (* 4 (/ 1 (* PI (pow (sqrt 2) 3)))) (* 4/3 (/ 1 (* PI (sqrt 2))))) (pow v 2)) (/ 4/3 (* PI (sqrt 2))))) into (+ (* 4/3 (/ (pow v 2) (* PI (sqrt 2)))) (+ (* 4/3 (/ 1 (* PI (sqrt 2)))) (+ (* 4 (/ (pow v 2) (* PI (pow (sqrt 2) 3)))) (+ (* 4 (/ (pow v 4) (* PI (pow (sqrt 2) 3)))) (+ (* 4/3 (/ (pow v 4) (* PI (sqrt 2)))) (* 18 (/ (pow v 4) (* PI (pow (sqrt 2) 5))))))))) * [misc]approximate: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* (* -3 PI) (sqrt -6)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ 4 (* -3 (* (sqrt -6) PI))) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* (* -3 PI) (sqrt -6)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ 4 (* -3 (* (sqrt -6) PI))) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (* 0 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (* -3 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 1) (+ (* 0 0) (* 0 -1))) into (* 3 PI) * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* (* 3 PI) (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* 0 (/ 0 (* -3 (* (sqrt -6) PI)))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (+ (* 0 (/ 1 (sqrt -6))) (+ (* (* 3 PI) 0) (* 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (* -3 (* (sqrt -6) PI)))) (* 0 (/ (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (* -3 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ -1/2 (pow (sqrt -6) 3))) (+ (* 0 0) (+ (* (* 3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* 0 (sqrt -6)))))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* 0 (/ 0 (* -3 (* (sqrt -6) PI)))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* 0 (/ 0 (* -3 (* (sqrt -6) PI)))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 v) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 v) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (+ (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7))))) (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))))))) * [misc]approximate: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* (* -3 PI) (sqrt -6)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ 4 (* -3 (* (sqrt -6) PI))) into (/ -4/3 (* (sqrt -6) PI)) * [misc]taylor: Taking taylor expansion of (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))))) in v * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* (* -3 PI) (sqrt -6)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ 4 (* -3 (* (sqrt -6) PI))) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (/ -4/3 (* (sqrt -6) PI)) into (/ -4/3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (* 0 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (* -3 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 1) (+ (* 0 0) (* 0 -1))) into (* 3 PI) * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* (* 3 PI) (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* 0 (/ 0 (* -3 (* (sqrt -6) PI)))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (+ (* 0 (/ 1 (sqrt -6))) (+ (* (* 3 PI) 0) (* 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ 0 (* -3 (* (sqrt -6) PI)))) (* 0 (/ (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ 0 (* -3 (* (sqrt -6) PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ -1/2 (pow (sqrt -6) 3))) (+ (* 0 0) (+ (* (* 3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* 0 (sqrt -6)))))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (/ 0 (* -3 (* (sqrt -6) PI))) (+ (* (/ -4/3 (* (sqrt -6) PI)) (/ (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* 0 (/ 0 (* -3 (* (sqrt -6) PI)))) (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (/ (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (* -3 (* (sqrt -6) PI)))) (* 0 (/ 0 (* -3 (* (sqrt -6) PI)))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) into (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) * [misc]backup-simplify: Simplify (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (+ (* 4/3 (/ 1 (* (sqrt -6) PI))) (* 2 (/ 1 (* (pow (sqrt -6) 5) PI))))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 4/3 (/ 1 (* (pow (sqrt -6) 3) PI))) (* 4/3 (/ 1 (* (sqrt -6) PI)))) (pow (/ 1 (- v)) 5)) (* (/ -4/3 (* (sqrt -6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (* 6 (* v v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 6 1) (+ (* 0 0) (* 0 0))) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify 6 into 6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* v v))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* v v)) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 3 PI) 1) into (* 3 PI) * [misc]backup-simplify: Simplify (* (* 3 PI) (sqrt 2)) into (* 3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (* 3 (* PI (sqrt 2))) into (* 3 (* PI (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 6 1) (+ (* 0 0) (* 0 0))) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) -1) (+ (* 0 0) (* 0 1))) into (- (* 3 PI)) * [misc]backup-simplify: Simplify (+ (* (* 3 PI) (/ -3 (sqrt 2))) (+ (* 0 0) (* (- (* 3 PI)) (sqrt 2)))) into (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) into (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 (/ -3 (sqrt 2))) (+ (* (- (* 3 PI)) 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) (/ -9/2 (pow (sqrt 2) 3))) (+ (* 0 0) (+ (* (- (* 3 PI)) (/ -3 (sqrt 2))) (+ (* 0 0) (* 0 (sqrt 2)))))) into (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) into (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) (pow v 4)) (+ (* (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ PI (sqrt 2))))) (pow v 2)) (* 3 (* PI (sqrt 2))))) into (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ (* PI (pow v 4)) (sqrt 2)))) (+ (* 3 (* PI (* (sqrt 2) (pow v 2)))) (+ (* 9 (/ (* PI (pow v 2)) (sqrt 2))) (* 27/2 (/ (* PI (pow v 4)) (pow (sqrt 2) 3)))))) * [misc]approximate: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* (* -3 PI) (sqrt -6)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* -3 (* (sqrt -6) PI)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (* 0 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 1) (+ (* 0 0) (* 0 -1))) into (* 3 PI) * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* (* 3 PI) (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (+ (* 0 (/ 1 (sqrt -6))) (+ (* (* 3 PI) 0) (* 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ -1/2 (pow (sqrt -6) 3))) (+ (* 0 0) (+ (* (* 3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* 0 (sqrt -6)))))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) (/ 1 v)) (+ (* (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (/ 1 (/ 1 v))) (* (* -3 (* (sqrt -6) PI)) (pow (/ 1 (/ 1 v)) 3)))) into (- (+ (* 3 (* (sqrt -6) (* PI v))) (+ (* 3/2 (/ PI (* (pow (sqrt -6) 3) v))) (* 3 (/ PI (* (sqrt -6) v))))) (+ (* 3 (/ (* PI v) (sqrt -6))) (* 3 (* (sqrt -6) (* PI (pow v 3)))))) * [misc]approximate: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]taylor: Taking taylor expansion of (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 6 in v * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 6 1) into 6 * [misc]backup-simplify: Simplify (- 6) into -6 * [misc]backup-simplify: Simplify (+ 0 -6) into -6 * [misc]backup-simplify: Simplify (sqrt -6) into (sqrt -6) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* (* -3 PI) (sqrt -6)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (* -3 (* (sqrt -6) PI)) into (* -3 (* (sqrt -6) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (* 0 (sqrt -6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 1) (+ (* 0 0) (* 0 -1))) into (* 3 PI) * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* (* 3 PI) (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) 0) (+ (* 0 (/ 1 (sqrt -6))) (+ (* (* 3 PI) 0) (* 0 (sqrt -6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -3 PI) (/ -1/2 (pow (sqrt -6) 3))) (+ (* 0 0) (+ (* (* 3 PI) (/ 1 (sqrt -6))) (+ (* 0 0) (* 0 (sqrt -6)))))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) (/ 1 (- v))) (+ (* (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (/ 1 (/ 1 (- v)))) (* (* -3 (* (sqrt -6) PI)) (pow (/ 1 (/ 1 (- v))) 3)))) into (- (+ (* 3 (/ (* PI v) (sqrt -6))) (* 3 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 3 (* (sqrt -6) (* PI v))) (+ (* 3/2 (/ PI (* (pow (sqrt -6) 3) v))) (* 3 (/ PI (* (sqrt -6) v)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* 3 PI) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* v v)) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* v v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (* 3 PI) 1) into (* 3 PI) * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) -1) (+ (* 0 0) (* 0 1))) into (- (* 3 PI)) * [misc]backup-simplify: Simplify (- (* 3 PI)) into (- (* 3 PI)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 3 PI)) (pow v 2)) (* 3 PI)) into (- (* 3 PI) (* 3 (* PI (pow v 2)))) * [misc]approximate: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 v) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* -3 PI) into (* -3 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 1) (+ (* 0 0) (* 0 -1))) into (* 3 PI) * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 PI) (* (* -3 PI) (pow (/ 1 (/ 1 v)) 2))) into (- (* 3 PI) (* 3 (* PI (pow v 2)))) * [misc]approximate: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* 3 PI) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of PI in v * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 1 in v * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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]taylor: Taking taylor expansion of (/ 1 (- v)) in v * [misc]taylor: Taking taylor expansion of (- v) in v * [misc]taylor: Taking taylor expansion of v in v * [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 (* 3 PI) into (* 3 PI) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* 3 PI) -1) into (* -3 PI) * [misc]backup-simplify: Simplify (* -3 PI) into (* -3 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 1) (+ (* 0 0) (* 0 -1))) into (* 3 PI) * [misc]backup-simplify: Simplify (* 3 PI) into (* 3 PI) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (- 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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [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 (- 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 (- 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 (- 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 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 3 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 3 PI) (* (* -3 PI) (pow (/ 1 (/ 1 (- v))) 2))) into (- (* 3 PI) (* 3 (* PI (pow v 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * [exit]simplify: Simplified to (log (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* (* 6 v) v))))) * * * * [misc]progress: [ 3 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (exp (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (exp (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 4 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (cbrt (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v)))))) (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))))) * [enter]simplify: Simplifying (cbrt (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 5 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (pow (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) 3) * [exit]simplify: Simplified to (pow (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* v (* 6 v))))) 3) * * * * [misc]progress: [ 6 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [enter]simplify: Simplifying (sqrt (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * * * [misc]progress: [ 7 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- 4) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to -4 * [exit]simplify: Simplified to -4 * [enter]simplify: Simplifying (- (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (* (* (+ -1 (* v v)) (* PI 3)) (sqrt (+ (* -6 (* v v)) 2))) * [exit]simplify: Simplified to (* (* (+ -1 (* v v)) (* PI 3)) (sqrt (+ (* -6 (* v v)) 2))) * * * * [misc]progress: [ 8 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1/3 PI) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) * [exit]simplify: Simplified to (/ (/ (/ 1/3 PI) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) * * * * [misc]progress: [ 10 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) 4) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (* (* (/ (* PI 3) 4) (- 1 (* v v))) (sqrt (+ 2 (* (* v -6) v)))) * [exit]simplify: Simplified to (* (* (/ (* PI 3) 4) (- 1 (* v v))) (sqrt (+ 2 (* (* v -6) v)))) * * * * [misc]progress: [ 11 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (* 3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * * * * [misc]progress: [ 12 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- PI (* (* PI v) (pow v 5)))) (sqrt (- 8 (* (* 216 v) (pow v 5))))) * [exit]simplify: Simplified to (/ (/ 4/3 (- PI (* (* PI v) (pow v 5)))) (sqrt (- 8 (* (* 216 v) (pow v 5))))) * * * * [misc]progress: [ 13 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- PI (* (pow v 5) (* v PI)))) (sqrt (- 4 (* (pow v 4) 36)))) * [exit]simplify: Simplified to (/ (/ 4/3 (- PI (* (pow v 5) (* v PI)))) (sqrt (- 4 (* (pow v 4) 36)))) * * * * [misc]progress: [ 14 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (- 8 (* (pow v 5) (* v 216))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (- 8 (* (pow v 5) (* v 216))))) * * * * [misc]progress: [ 15 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (+ 4 (* (pow v 4) -36)))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (+ 4 (* (pow v 4) -36)))) * * * * [misc]progress: [ 16 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* (* (* -6 v) (* v v)) (* (* v v) (* 36 v))) 8))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* (* (* -6 v) (* v v)) (* (* v v) (* 36 v))) 8))) * * * * [misc]progress: [ 17 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 4 (* (pow v 3) (* v 36))))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 4 (* (pow v 3) (* v 36))))) * * * * [misc]progress: [ 18 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- PI (* (pow v 5) (* v PI)))) (sqrt (+ 2 (* (* v -6) v)))) * [exit]simplify: Simplified to (/ (/ 4/3 (- PI (* (pow v 5) (* v PI)))) (sqrt (+ 2 (* (* v -6) v)))) * * * * [misc]progress: [ 19 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (+ (* -6 (* v v)) 2))) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (pow v 4))) (sqrt (+ (* -6 (* v v)) 2))) * * * * [misc]progress: [ 20 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* 6 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (log (* 6 (* v v))) * [exit]simplify: Simplified to (log (* 6 (* v v))) * * * * [misc]progress: [ 22 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 6 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (pow (exp 6) (* v v)) * [exit]simplify: Simplified to (pow (exp 6) (* v v)) * * * * [misc]progress: [ 23 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* 6 (* v v))) (cbrt (* 6 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* 6 (* v v))) (cbrt (* 6 (* v v)))) * [exit]simplify: Simplified to (* (cbrt (* 6 (* v v))) (cbrt (* 6 (* v v)))) * [enter]simplify: Simplifying (cbrt (* 6 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (* 6 (* v v))) * [exit]simplify: Simplified to (cbrt (* 6 (* v v))) * * * * [misc]progress: [ 24 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 6 (* v v)) (* 6 (* v v))) (* 6 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (* (* 216 v) (pow v 5)) * [exit]simplify: Simplified to (* (* 216 v) (pow v 5)) * * * * [misc]progress: [ 25 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 6 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* 6 (* v v))) * [exit]simplify: Simplified to (sqrt (* 6 (* v v))) * [enter]simplify: Simplifying (sqrt (* 6 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* 6 (* v v))) * [exit]simplify: Simplified to (sqrt (* 6 (* v v))) * * * * [misc]progress: [ 26 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 6 v) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* v 6) * [exit]simplify: Simplified to (* v 6) * * * * [misc]progress: [ 28 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (* (- (* PI 3) (* (* PI 3) (* v v))) (sqrt (+ 2 (* (* v -6) v)))) * [exit]simplify: Simplified to (* (- (* PI 3) (* (* PI 3) (* v v))) (sqrt (+ 2 (* (* v -6) v)))) * * * * [misc]progress: [ 30 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (* (- (* PI 3) (* (* PI 3) (* v v))) (sqrt (+ 2 (* (* v -6) v)))) * [exit]simplify: Simplified to (* (- (* PI 3) (* (* PI 3) (* v v))) (sqrt (+ 2 (* (* v -6) v)))) * * * * [misc]progress: [ 31 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (* 3 PI)) (log (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (+ (+ (log (- 1 (* v v))) (log (* PI 3))) (log (sqrt (+ 2 (* -6 (* v v)))))) * [exit]simplify: Simplified to (+ (+ (log (- 1 (* v v))) (log (* PI 3))) (log (sqrt (+ 2 (* -6 (* v v)))))) * * * * [misc]progress: [ 33 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* 3 PI) (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (417 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- 2 (* 6 (* v v))))) (log (* (* PI 3) (- 1 (* v v))))) * [exit]simplify: Simplified to (+ (log (sqrt (- 2 (* 6 (* v v))))) (log (* (* PI 3) (- 1 (* v v))))) * * * * [misc]progress: [ 34 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * [exit]simplify: Simplified to (log (* (- (* PI 3) (* (* PI 3) (* v v))) (sqrt (+ 2 (* v (* -6 v)))))) * [exit]simplify: Simplified to (log (* (- (* PI 3) (* (* PI 3) (* v v))) (sqrt (+ 2 (* v (* -6 v)))))) * * * * [misc]progress: [ 35 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (pow (pow (exp (* PI 3)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) * [exit]simplify: Simplified to (pow (pow (exp (* PI 3)) (- 1 (* v v))) (sqrt (+ (* -6 (* v v)) 2))) * * * * [misc]progress: [ 36 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* 3 PI) (* 3 PI)) (* 3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (* PI 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (sqrt (- 2 (* 6 (* v v)))) (* (- 2 (* 6 (* v v))) (* PI (* PI 9))))) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (* PI 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (sqrt (- 2 (* 6 (* v v)))) (* (- 2 (* 6 (* v v))) (* PI (* PI 9))))) * * * * [misc]progress: [ 37 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* 3 PI) (- 1 (* v v))) (* (* 3 PI) (- 1 (* v v)))) (* (* 3 PI) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- 2 (* v (* 6 v)))) (* (* (* 3 PI) (- 1 (* v v))) (* (* 3 PI) (- 1 (* v v))))) (* (* (* 3 PI) (- 1 (* v v))) (- 2 (* v (* 6 v))))) * [exit]simplify: Simplified to (* (* (sqrt (- 2 (* v (* 6 v)))) (* (* (* 3 PI) (- 1 (* v v))) (* (* 3 PI) (- 1 (* v v))))) (* (* (* 3 PI) (- 1 (* v v))) (- 2 (* v (* 6 v))))) * * * * [misc]progress: [ 38 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (cbrt (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (* v -6) v) 2)) (- (* PI 3) (* (* PI 3) (* v v))))) (cbrt (* (sqrt (+ (* (* v -6) v) 2)) (- (* PI 3) (* (* PI 3) (* v v)))))) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (* (* v -6) v) 2)) (- (* PI 3) (* (* PI 3) (* v v))))) (cbrt (* (sqrt (+ (* (* v -6) v) 2)) (- (* PI 3) (* (* PI 3) (* v v)))))) * [enter]simplify: Simplifying (cbrt (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ (* (* v v) -6) 2)) (- (* PI 3) (* (* PI 3) (* v v))))) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ (* (* v v) -6) 2)) (- (* PI 3) (* (* PI 3) (* v v))))) * * * * [misc]progress: [ 39 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * [exit]simplify: Simplified to (* (* (* (* (* PI 3) (- 1 (* v v))) (* (* PI 3) (- 1 (* v v)))) (* (* (* PI 3) (- 1 (* v v))) (+ 2 (* (* v -6) v)))) (sqrt (+ 2 (* (* v -6) v)))) * [exit]simplify: Simplified to (* (* (* (* (* PI 3) (- 1 (* v v))) (* (* PI 3) (- 1 (* v v)))) (* (* (* PI 3) (- 1 (* v v))) (+ 2 (* (* v -6) v)))) (sqrt (+ 2 (* (* v -6) v)))) * * * * [misc]progress: [ 40 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (* (* v v) -6) 2)) (- (* PI 3) (* (* PI 3) (* v v))))) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (* (* v v) -6) 2)) (- (* PI 3) (* (* PI 3) (* v v))))) * [enter]simplify: Simplifying (sqrt (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (* (* v v) -6) 2)) (- (* PI 3) (* (* PI 3) (* v v))))) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ (* (* v v) -6) 2)) (- (* PI 3) (* (* PI 3) (* v v))))) * * * * [misc]progress: [ 41 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (* (sqrt (- 8 (* (pow v 5) (* v 216)))) (+ (* PI 3) (* (* (pow v 5) v) (- (* PI 3))))) * [exit]simplify: Simplified to (* (sqrt (- 8 (* (pow v 5) (* v 216)))) (+ (* PI 3) (* (* (pow v 5) v) (- (* PI 3))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (461 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) (pow v 4)) 1) (sqrt (+ (+ 4 (* (pow v 4) 36)) (* (* v 12) v)))) * [exit]simplify: Simplified to (* (+ (+ (* v v) (pow v 4)) 1) (sqrt (+ (+ 4 (* (pow v 4) 36)) (* (* v 12) v)))) * * * * [misc]progress: [ 42 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * [exit]simplify: Simplified to (* (- (* PI 3) (* (pow v 3) (* (pow v 3) (* PI 3)))) (sqrt (- 4 (* 36 (pow v 4))))) * [exit]simplify: Simplified to (* (- (* PI 3) (* (pow v 3) (* (pow v 3) (* PI 3)))) (sqrt (- 4 (* 36 (pow v 4))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))) (sqrt (+ 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (* (+ (+ (pow v 4) (* v v)) 1) (sqrt (+ 2 (* (* v 6) v)))) * [exit]simplify: Simplified to (* (+ (+ (pow v 4) (* v v)) 1) (sqrt (+ 2 (* (* v 6) v)))) * * * * [misc]progress: [ 43 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (* (sqrt (- 8 (* (pow v 5) (* v 216)))) (+ (* PI 3) (* (* (* PI 3) (* v v)) (* (- v) v)))) * [exit]simplify: Simplified to (* (sqrt (- 8 (* (pow v 5) (* v 216)))) (+ (* PI 3) (* (* (* PI 3) (* v v)) (* (- v) v)))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (sqrt (+ (* 2 2) (+ (* (* 6 (* v v)) (* 6 (* v v))) (* 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * * [misc]simplify: iters left: 1 (481 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 4 (+ (* 36 (pow v 4)) (* (* 12 v) v)))) (+ (* v v) 1)) * [exit]simplify: Simplified to (* (sqrt (+ 4 (+ (* 36 (pow v 4)) (* (* 12 v) v)))) (+ (* v v) 1)) * * * * [misc]progress: [ 44 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (* (- (* PI 3) (* (pow v 4) (* PI 3))) (sqrt (- 4 (* (pow v 4) 36)))) * [exit]simplify: Simplified to (* (- (* PI 3) (* (pow v 4) (* PI 3))) (sqrt (- 4 (* (pow v 4) 36)))) * [enter]simplify: Simplifying (* (+ 1 (* v v)) (sqrt (+ 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 2 (* (* v v) 6))) (+ 1 (* v v))) * [exit]simplify: Simplified to (* (sqrt (+ 2 (* (* v v) 6))) (+ 1 (* v v))) * * * * [misc]progress: [ 45 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (* (- PI (* (* v v) PI)) (cbrt (sqrt (+ 2 (* -6 (* v v)))))) (* (cbrt (sqrt (+ 2 (* -6 (* v v))))) 3)) * [exit]simplify: Simplified to (* (* (- PI (* (* v v) PI)) (cbrt (sqrt (+ 2 (* -6 (* v v)))))) (* (cbrt (sqrt (+ 2 (* -6 (* v v))))) 3)) * * * * [misc]progress: [ 47 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt (* (cbrt (- 2 (* 6 (* v v)))) (cbrt (- 2 (* 6 (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (* (- (* PI 3) (* (* v v) (* PI 3))) (fabs (cbrt (+ (* (* v v) -6) 2)))) * [exit]simplify: Simplified to (* (- (* PI 3) (* (* v v) (* PI 3))) (fabs (cbrt (+ (* (* v v) -6) 2)))) * * * * [misc]progress: [ 48 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v v) -6) 2))) (- (* PI 3) (* (* PI 3) (* v v)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v v) -6) 2))) (- (* PI 3) (* (* PI 3) (* v v)))) * * * * [misc]progress: [ 49 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (* (* PI 3) (- 1 (* v v))) * [exit]simplify: Simplified to (* (* PI 3) (- 1 (* v v))) * * * * [misc]progress: [ 50 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v v) -6) 2))) (- (* PI 3) (* (* PI 3) (* v v)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v v) -6) 2))) (- (* PI 3) (* (* PI 3) (* v v)))) * * * * [misc]progress: [ 51 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- 1 (* v v))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (347 enodes) * [exit]simplify: Simplified to (- (* PI 3) (* (* v v) (* PI 3))) * [exit]simplify: Simplified to (- (* PI 3) (* (* v v) (* PI 3))) * * * * [misc]progress: [ 52 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 (* v v)) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))) * [exit]simplify: Simplified to (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* v v))) * * * * [misc]progress: [ 53 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (* v -6) (* v v)) (* (* v v) (* 36 v))) 8)) (- (* PI 3) (* (* PI 3) (* v v)))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (* v -6) (* v v)) (* (* v v) (* 36 v))) 8)) (- (* PI 3) (* (* PI 3) (* v v)))) * * * * [misc]progress: [ 54 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (* (- (* PI 3) (* (* PI 3) (* v v))) (sqrt (- 4 (* (pow v 3) (* 36 v))))) * [exit]simplify: Simplified to (* (- (* PI 3) (* (* PI 3) (* v v))) (sqrt (- 4 (* (pow v 3) (* 36 v))))) * * * * [misc]progress: [ 55 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (* (- (* PI 3) (* (pow v 3) (* (pow v 3) (* PI 3)))) (sqrt (+ 2 (* v (* -6 v))))) * [exit]simplify: Simplified to (* (- (* PI 3) (* (pow v 3) (* (pow v 3) (* PI 3)))) (sqrt (+ 2 (* v (* -6 v))))) * * * * [misc]progress: [ 56 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- 2 (* 6 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) -6) 2)) (+ (* PI 3) (* (* (* PI 3) v) (* (- v) (* v v))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) -6) 2)) (+ (* PI 3) (* (* (* PI 3) v) (* (- v) (* v v))))) * * * * [misc]progress: [ 57 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 3 PI) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (- (* PI 3) (* (* PI 3) (* v v))) * [exit]simplify: Simplified to (- (* PI 3) (* (* PI 3) (* v v))) * * * * [misc]progress: [ 59 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* 3 PI)) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (+ (log (- 1 (* v v))) (log (* PI 3))) * [exit]simplify: Simplified to (+ (log (- 1 (* v v))) (log (* PI 3))) * * * * [misc]progress: [ 61 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* 3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (345 enodes) * [exit]simplify: Simplified to (log (* (* PI 3) (- 1 (* v v)))) * [exit]simplify: Simplified to (log (* (* PI 3) (- 1 (* v v)))) * * * * [misc]progress: [ 62 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* 3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * [exit]simplify: Simplified to (pow (exp (* PI 3)) (- 1 (* v v))) * [exit]simplify: Simplified to (pow (exp (* PI 3)) (- 1 (* v v))) * * * * [misc]progress: [ 63 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* 3 PI) (* 3 PI)) (* 3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (437 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (* PI 27) (* PI PI)))) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (- 1 (* v v))) (* (- 1 (* v v)) (* (* PI 27) (* PI PI)))) * * * * [misc]progress: [ 64 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* 3 PI) (- 1 (* v v)))) (cbrt (* (* 3 PI) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* PI 3) (* (* v v) (* PI 3)))) (cbrt (- (* PI 3) (* (* v v) (* PI 3))))) * [exit]simplify: Simplified to (* (cbrt (- (* PI 3) (* (* v v) (* PI 3)))) (cbrt (- (* PI 3) (* (* v v) (* PI 3))))) * [enter]simplify: Simplifying (cbrt (* (* 3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (354 enodes) * [exit]simplify: Simplified to (cbrt (* (* PI 3) (- 1 (* v v)))) * [exit]simplify: Simplified to (cbrt (* (* PI 3) (- 1 (* v v)))) * * * * [misc]progress: [ 65 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* 3 PI) (- 1 (* v v))) (* (* 3 PI) (- 1 (* v v)))) (* (* 3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (pow (- (* PI 3) (* (* PI 3) (* v v))) 3) * [exit]simplify: Simplified to (pow (- (* PI 3) (* (* PI 3) (* v v))) 3) * * * * [misc]progress: [ 66 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* 3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (354 enodes) * [exit]simplify: Simplified to (sqrt (* (* PI 3) (- 1 (* v v)))) * [exit]simplify: Simplified to (sqrt (* (* PI 3) (- 1 (* v v)))) * [enter]simplify: Simplifying (sqrt (* (* 3 PI) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (354 enodes) * [exit]simplify: Simplified to (sqrt (* (* PI 3) (- 1 (* v v)))) * [exit]simplify: Simplified to (sqrt (* (* PI 3) (- 1 (* v v)))) * * * * [misc]progress: [ 67 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 3 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* 3 PI) * [exit]simplify: Simplified to (* 3 PI) * [enter]simplify: Simplifying (* (* 3 PI) (- (* v v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (* v PI) (* v -3)) * [exit]simplify: Simplified to (* (* v PI) (* v -3)) * * * * [misc]progress: [ 69 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 3 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* 3 PI) * [exit]simplify: Simplified to (* 3 PI) * [enter]simplify: Simplifying (* (* 3 PI) (- (* v v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (* v PI) (* v -3)) * [exit]simplify: Simplified to (* (* v PI) (* v -3)) * * * * [misc]progress: [ 70 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (* 3 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* 3 PI) * [exit]simplify: Simplified to (* 3 PI) * [enter]simplify: Simplifying (* (- (* v v)) (* 3 PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (* -3 PI) (* v v)) * [exit]simplify: Simplified to (* (* -3 PI) (* v v)) * * * * [misc]progress: [ 71 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (* 3 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* 3 PI) * [exit]simplify: Simplified to (* 3 PI) * [enter]simplify: Simplifying (* (- (* v v)) (* 3 PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (* -3 PI) (* v v)) * [exit]simplify: Simplified to (* (* -3 PI) (* v v)) * * * * [misc]progress: [ 72 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 3 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (* PI 3)) * [exit]simplify: Simplified to (* (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))) (* PI 3)) * * * * [misc]progress: [ 73 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 3 PI) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v v))) (* PI 3)) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v v))) (* PI 3)) * * * * [misc]progress: [ 74 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 3 PI) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* 3 PI) * [exit]simplify: Simplified to (* 3 PI) * * * * [misc]progress: [ 75 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (- 1 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- PI (* (* PI v) v)) * [exit]simplify: Simplified to (- PI (* (* PI v) v)) * * * * [misc]progress: [ 76 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * [exit]simplify: Simplified to (- (* PI 3) (* (* (pow v 3) (* PI 3)) (pow v 3))) * [exit]simplify: Simplified to (- (* PI 3) (* (* (pow v 3) (* PI 3)) (pow v 3))) * * * * [misc]progress: [ 77 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (- (* PI 3) (* (pow v 4) (* PI 3))) * [exit]simplify: Simplified to (- (* PI 3) (* (pow v 4) (* PI 3))) * * * * [misc]progress: [ 78 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4/3 (/ (pow v 2) (* PI (sqrt 2)))) (+ (* 4/3 (/ 1 (* PI (sqrt 2)))) (+ (* 4 (/ (pow v 2) (* PI (pow (sqrt 2) 3)))) (+ (* 4 (/ (pow v 4) (* PI (pow (sqrt 2) 3)))) (+ (* 4/3 (/ (pow v 4) (* PI (sqrt 2)))) (* 18 (/ (pow v 4) (* PI (pow (sqrt 2) 5))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (/ v PI) v) (/ 2 (sqrt 2))) (/ (/ 4/3 PI) (sqrt 2))) (+ (* (/ (pow v 4) PI) (+ (/ 4/3 (sqrt 2)) (/ 2 (sqrt 2)))) (+ (/ (* (/ 18 PI) (pow v 4)) (pow (sqrt 2) 5)) (/ (* (/ 4/3 PI) (* v v)) (sqrt 2))))) * * * * [misc]progress: [ 80 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7)))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (+ (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7))))) (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (/ -2/9 (sqrt -6)) (* PI (pow v 5))) (/ (/ -2/9 (sqrt -6)) (* (pow v 7) PI))) (/ -4/3 (* (* PI (pow v 5)) (sqrt -6)))) (+ (+ (/ (/ 4/3 (sqrt -6)) (* (* v PI) (* v v))) (/ (/ 4/3 (sqrt -6)) (* (pow v 7) PI))) (/ (/ 2 (pow (sqrt -6) 5)) (* (pow v 7) PI)))) * * * * [misc]progress: [ 81 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 5))))) (+ (* 4/3 (/ 1 (* (sqrt -6) (* PI (pow v 7))))) (* 2 (/ 1 (* (pow (sqrt -6) 5) (* PI (pow v 7)))))))) (+ (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 5))))) (* 4/3 (/ 1 (* (pow (sqrt -6) 3) (* PI (pow v 7))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (+ (- (- (/ (/ 4/3 (sqrt -6)) (* (* v v) (* v PI))) (/ (/ -2/9 (sqrt -6)) (* PI (pow v 5)))) (/ (/ -2/9 (sqrt -6)) (* PI (pow v 7)))) (+ (+ (/ (/ 4/3 PI) (* (pow v 5) (sqrt -6))) (/ (/ 4/3 PI) (* (pow v 7) (sqrt -6)))) (/ (/ 2 (pow (sqrt -6) 5)) (* PI (pow v 7))))) * * * * [misc]progress: [ 82 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (pow v 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) * * * * [misc]progress: [ 83 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (pow v 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) * * * * [misc]progress: [ 84 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (pow v 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (+ (* (* v v) -6) 2))) * * * * [misc]progress: [ 85 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (- (+ (* 3 (* PI (sqrt 2))) (* 9 (/ (* PI (pow v 4)) (sqrt 2)))) (+ (* 3 (* PI (* (sqrt 2) (pow v 2)))) (+ (* 9 (/ (* PI (pow v 2)) (sqrt 2))) (* 27/2 (/ (* PI (pow v 4)) (pow (sqrt 2) 3))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ 4 (- (- (- (* (/ PI (sqrt 2)) (* (pow v 4) 9)) (/ (* (* 9 PI) (* v v)) (sqrt 2))) (* (/ (/ PI 2) (sqrt 2)) (* 27/2 (pow v 4)))) (- (* (* v v) (* (sqrt 2) (* PI 3))) (* (sqrt 2) (* PI 3))))) * * * * [misc]progress: [ 86 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (- (+ (* 3 (* (sqrt -6) (* PI v))) (+ (* 3/2 (/ PI (* (pow (sqrt -6) 3) v))) (* 3 (/ PI (* (sqrt -6) v))))) (+ (* 3 (/ (* PI v) (sqrt -6))) (* 3 (* (sqrt -6) (* PI (pow v 3))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ 4 (- (+ (* (/ PI v) (+ (/ -1/4 (sqrt -6)) (/ 3 (sqrt -6)))) (* 3 (- (* (sqrt -6) (* v PI)) (/ (* v PI) (sqrt -6))))) (* (* (* v v) (* v 3)) (* (sqrt -6) PI)))) * * * * [misc]progress: [ 87 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (- (+ (* 3 (/ (* PI v) (sqrt -6))) (* 3 (* (sqrt -6) (* PI (pow v 3))))) (+ (* 3 (* (sqrt -6) (* PI v))) (+ (* 3/2 (/ PI (* (pow (sqrt -6) 3) v))) (* 3 (/ PI (* (sqrt -6) v))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ 4 (- (+ (/ (* v (* PI 3)) (sqrt -6)) (* (* (* PI 3) (sqrt -6)) (- (pow v 3) v))) (* (/ PI v) (+ (/ 3 (sqrt -6)) (/ -1/4 (sqrt -6)))))) * * * * [misc]progress: [ 88 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (- (* 3 PI) (* 3 (* PI (pow v 2)))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- PI (* PI (* v v)))) (sqrt (+ (* v (* -6 v)) 2))) * * * * [misc]progress: [ 89 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (- (* 3 PI) (* 3 (* PI (pow v 2)))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- PI (* PI (* v v)))) (sqrt (+ (* v (* -6 v)) 2))) * * * * [misc]progress: [ 90 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (- (* 3 PI) (* 3 (* PI (pow v 2)))) (sqrt (- 2 (* 6 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 (- PI (* PI (* v v)))) (sqrt (+ (* v (* -6 v)) 2))) * * * [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 (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (/ (/ 4/3 PI) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * [exit]simplify: Simplified to (/ (/ 4/3 PI) (- 1 (* v v))) * [enter]simplify: Simplifying (sqrt (- 2 (* (* 6 v) v))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 2 (* v (* v 6)))) * [exit]simplify: Simplified to (sqrt (- 2 (* v (* v 6))))