* [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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* 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 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (* 3 (* v v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (* 3 (pow v 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 1))) into 0 * [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) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 1))) into 0 * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (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 (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/8 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -1) (+ (* 0 0) (* (- (* 3/8 (sqrt 2))) 1))) into (- (* 5/8 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 5/8 (sqrt 2))) into (- (* 5/8 (sqrt 2))) * [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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 -3/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -1) (+ (* (- (* 3/8 (sqrt 2))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/32 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 3/8 (sqrt 2))) -1) (+ (* 0 0) (* (- (* 9/32 (sqrt 2))) 1))))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* 3/32 (sqrt 2)) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* 3/32 (sqrt 2)) (pow v 4)) (+ (* (- (* 5/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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 (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 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 (- (+ (* 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 (+ (* 3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [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 (- (+ (* 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 (+ (* 3 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 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 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 (- (+ (* 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 (+ (* 3 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 (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 0) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) -1))))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (/ 1 v)) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 v))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 v)) 3)))) into (- (+ (* 1/4 (* (sqrt 2) (* (sqrt -3) v))) (+ (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))) (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 3)))))) * [misc]approximate: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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 (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 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 (- 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 (+ (* 3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -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 (- (+ (* -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) 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 (+ (* 3 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 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 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 (- 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 (+ (* 3 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 (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 0) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) -1))))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (/ 1 (- v))) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 (- v)))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 (- v))) 3)))) into (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 3))))) (+ (* 1/32 (/ (sqrt 2) (* (pow (sqrt -3) 3) v))) (+ (* 1/8 (/ (sqrt 2) (* (sqrt -3) v))) (* 1/4 (* v (* (sqrt 2) (sqrt -3))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 1))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 1))) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 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 (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/8 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 3/8 (sqrt 2))) into (- (* 3/8 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 -3/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* 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 (+ (* 3 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 -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/32 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 9/32 (sqrt 2))) into (- (* 9/32 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 9/32 (sqrt 2))) (pow v 4)) (+ (* (- (* 3/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (* 1/4 (sqrt 2)) (+ (* 3/8 (* (sqrt 2) (pow v 2))) (* 9/32 (* (sqrt 2) (pow v 4))))) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt 2) (sqrt -3))) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) 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 (+ (* 3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* 1/8 (/ (sqrt 2) (sqrt -3))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [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 (+ (* 3 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 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) 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 (+ (* 3 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 (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (pow (/ 1 v) 3)) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) (/ 1 v)) (* (* 1/4 (* (sqrt 2) (sqrt -3))) (/ 1 (/ 1 v))))) into (- (+ (* 1/4 (* (sqrt -3) (* (sqrt 2) v))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3))))) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* 1/4 (* (sqrt 2) (sqrt -3))) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) 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 (+ (* 3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* 1/8 (/ (sqrt 2) (sqrt -3))) into (* 1/8 (/ (sqrt 2) (sqrt -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 (- (+ (* -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 (+ (* 3 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 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) 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 (+ (* 3 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 (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (pow (/ 1 (- v)) 3)) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) (/ 1 (- v))) (* (* 1/4 (* (sqrt 2) (sqrt -3))) (/ 1 (/ 1 (- v)))))) into (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt -3) (* (sqrt 2) v))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify -3/2 into -3/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 -3/2)))) (* 2 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 (+ (* 3 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 -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 * [misc]backup-simplify: Simplify -9/8 into -9/8 * [misc]backup-simplify: Simplify (+ (* -9/8 (pow v 4)) (+ (* -3/2 (pow v 2)) 1)) into (- 1 (+ (* 3/2 (pow v 2)) (* 9/8 (pow v 4)))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -3)) into (/ 1/2 (sqrt -3)) * [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 (+ (* 3 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 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) 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 (+ (* 3 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 (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -3) 3)) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -3) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1/2 (sqrt -3)) (/ 1 v)) (* (sqrt -3) (/ 1 (/ 1 v))))) into (- (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v)) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -3)) into (/ 1/2 (sqrt -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 (- (+ (* -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 (+ (* 3 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 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) 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 (+ (* 3 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 (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -3) 3)) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -3) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1/2 (sqrt -3)) (/ 1 (- v))) (* (sqrt -3) (/ 1 (/ 1 (- v)))))) into (- (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3)))) (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (* 3 (* v v))) * [exit]simplify: Simplified to (log (* 3 (* v v))) * * * * [misc]progress: [ 3 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (pow (exp v) (* v 3)) * [exit]simplify: Simplified to (pow (exp v) (* v 3)) * * * * [misc]progress: [ 4 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) * [exit]simplify: Simplified to (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) * [enter]simplify: Simplifying (cbrt (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (* 3 (* v v))) * [exit]simplify: Simplified to (cbrt (* 3 (* v v))) * * * * [misc]progress: [ 5 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (pow (* 3 (* v v)) 3) * [exit]simplify: Simplified to (pow (* 3 (* v v)) 3) * * * * [misc]progress: [ 6 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* 3 (* v v))) * [exit]simplify: Simplified to (sqrt (* 3 (* v v))) * [enter]simplify: Simplifying (sqrt (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* 3 (* v v))) * [exit]simplify: Simplified to (sqrt (* 3 (* v v))) * * * * [misc]progress: [ 7 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 v) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* v 3) * [exit]simplify: Simplified to (* v 3) * * * * [misc]progress: [ 9 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 11 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 12 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- 1 (* (* v v) 3)))) (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4)))) * [exit]simplify: Simplified to (+ (log (sqrt (- 1 (* (* v v) 3)))) (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4)))) * * * * [misc]progress: [ 14 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (sqrt (- 1 (* 3 (* v v)))))) * [exit]simplify: Simplified to (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (sqrt (- 1 (* 3 (* v v)))))) * * * * [misc]progress: [ 15 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (log (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) * * * * [misc]progress: [ 16 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (exp (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* v 3)))))) * [exit]simplify: Simplified to (exp (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* v 3)))))) * * * * [misc]progress: [ 17 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2))))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2))))) * * * * [misc]progress: [ 18 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (* (pow (- 1 (* v v)) 3) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (* (sqrt (- 1 (* (* v 3) v))) (- 1 (* (* v 3) v)))) * [exit]simplify: Simplified to (* (* (pow (- 1 (* v v)) 3) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (* (sqrt (- 1 (* (* v 3) v))) (- 1 (* (* v 3) v)))) * * * * [misc]progress: [ 19 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (cbrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (cbrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (cbrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [enter]simplify: Simplifying (cbrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (cbrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * * * * [misc]progress: [ 20 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (379 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (* (- 1 (* 3 (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (* (- 1 (* 3 (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) * * * * [misc]progress: [ 21 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [enter]simplify: Simplifying (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * * * * [misc]progress: [ 22 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))) * * * * [misc]progress: [ 23 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (* (+ 4 (* v (* 4 v))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) * [exit]simplify: Simplified to (* (+ 4 (* v (* 4 v))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) * * * * [misc]progress: [ 24 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ 1 (* (* v v) 3)))) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ 1 (* (* v v) 3)))) * * * * [misc]progress: [ 25 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* v v)) 4) (sqrt (+ 1 (* 3 (* v v))))) * [exit]simplify: Simplified to (* (* (+ 1 (* v v)) 4) (sqrt (+ 1 (* 3 (* v v))))) * * * * [misc]progress: [ 26 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [exit]simplify: Simplified to (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))))) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))))) * * * * [misc]progress: [ 27 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* v v) 1)) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* v v) 1)) * * * * [misc]progress: [ 28 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) 3) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v)))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) 3) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v)))) * * * * [misc]progress: [ 29 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (sqrt (+ (* (* v 3) v) 1))) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (sqrt (+ (* (* v 3) v) 1))) * * * * [misc]progress: [ 30 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2))) * [enter]simplify: Simplifying (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) * [exit]simplify: Simplified to (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) * * * * [misc]progress: [ 31 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) * [enter]simplify: Simplifying (* 4 (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (+ (* (* v v) 4) 4) * [exit]simplify: Simplified to (+ (* (* v v) 4) 4) * * * * [misc]progress: [ 32 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4)) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4)) * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (/ (* (* v v) (- (sqrt 2))) 4) (sqrt (- 1 (* 3 (* v v))))) * [exit]simplify: Simplified to (* (/ (* (* v v) (- (sqrt 2))) 4) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 34 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v 3) v)))) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v 3) v)))) * [enter]simplify: Simplifying (* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* v 3)))) (/ (* (- v) v) (/ 4 (sqrt 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* v 3)))) (/ (* (- v) v) (/ 4 (sqrt 2)))) * * * * [misc]progress: [ 35 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * * * [misc]progress: [ 36 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * * * [misc]progress: [ 37 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4)) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4)) * * * * [misc]progress: [ 38 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (sqrt (- 1 (* (* v 3) v)))) * [exit]simplify: Simplified to (* (- 1 (* v v)) (sqrt (- 1 (* (* v 3) v)))) * * * * [misc]progress: [ 39 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* v (* v 3))))) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* v (* v 3))))) * * * * [misc]progress: [ 40 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v))))) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 41 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) * * * * [misc]progress: [ 42 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * * * * [misc]progress: [ 43 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))) * * * * [misc]progress: [ 44 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * * * * [misc]progress: [ 45 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))) * * * * [misc]progress: [ 46 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4)) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4)) * * * * [misc]progress: [ 48 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* v (* v 3)))))) * [exit]simplify: Simplified to (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* v (* v 3)))))) * * * * [misc]progress: [ 50 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (log (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4))) * [exit]simplify: Simplified to (log (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4))) * * * * [misc]progress: [ 51 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (pow (exp (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v 3) v)))) * [exit]simplify: Simplified to (pow (exp (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v 3) v)))) * * * * [misc]progress: [ 52 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) 3)) (/ (* (/ 2 4) (sqrt 2)) (* 4 4))) (sqrt (- 1 (* (* v v) 3)))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) 3)) (/ (* (/ 2 4) (sqrt 2)) (* 4 4))) (sqrt (- 1 (* (* v v) 3)))) * * * * [misc]progress: [ 53 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (cbrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 (* (* v 3) v))) (/ 4 (sqrt 2)))) (cbrt (/ (sqrt (- 1 (* (* v 3) v))) (/ 4 (sqrt 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 (* (* v 3) v))) (/ 4 (sqrt 2)))) (cbrt (/ (sqrt (- 1 (* (* v 3) v))) (/ 4 (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4))) * [exit]simplify: Simplified to (cbrt (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4))) * * * * [misc]progress: [ 54 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* 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 (83 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (* (* (- 1 (* v (* v 3))) (/ (/ 2 4) 4)) (sqrt (- 1 (* v (* v 3)))))) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (* (* (- 1 (* v (* v 3))) (/ (/ 2 4) 4)) (sqrt (- 1 (* v (* v 3)))))) * * * * [misc]progress: [ 55 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4))) * [exit]simplify: Simplified to (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4))) * [enter]simplify: Simplifying (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4))) * [exit]simplify: Simplified to (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4))) * * * * [misc]progress: [ 56 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt 2)) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (sqrt 2)) * [enter]simplify: Simplifying (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* 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 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* 4 (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) * [exit]simplify: Simplified to (* 4 (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))) * * * * [misc]progress: [ 57 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt 2)) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (sqrt 2)) * [enter]simplify: Simplifying (* 4 (sqrt (+ 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v (* 3 v)))) 4) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v (* 3 v)))) 4) * * * * [misc]progress: [ 58 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v (* v 3))))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (cbrt (sqrt (- 1 (* v (* v 3))))))) * * * * [misc]progress: [ 60 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v 3) v)))) (/ 4 (sqrt 2))) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 (* (* v 3) v)))) (/ 4 (sqrt 2))) * * * * [misc]progress: [ 61 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* (* v 3) v))))) * * * * [misc]progress: [ 62 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (sqrt 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (sqrt 1)) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (sqrt 1)) * * * * [misc]progress: [ 63 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (sqrt (sqrt (- 1 (* (* v 3) v))))) * * * * [misc]progress: [ 64 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) 4) * [exit]simplify: Simplified to (/ (sqrt 2) 4) * * * * [misc]progress: [ 65 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* v 3)))) (cbrt (/ (sqrt 2) 4))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* v 3)))) (cbrt (/ (sqrt 2) 4))) * * * * [misc]progress: [ 66 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* v 3)))) (sqrt (/ (sqrt 2) 4))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* v 3)))) (sqrt (/ (sqrt 2) 4))) * * * * [misc]progress: [ 67 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4)) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4)) * * * * [misc]progress: [ 68 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 4) (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* 3 (* v v)))) 4) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* 3 (* v v)))) 4) * * * * [misc]progress: [ 69 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (sqrt 2))) * * * * [misc]progress: [ 70 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (sqrt 2))) * * * * [misc]progress: [ 71 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 72 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (sqrt (- 1 (* v (* v 3))))) * [exit]simplify: Simplified to (log (sqrt (- 1 (* v (* v 3))))) * * * * [misc]progress: [ 76 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (sqrt (- 1 (* v (* v 3))))) * [exit]simplify: Simplified to (exp (sqrt (- 1 (* v (* v 3))))) * * * * [misc]progress: [ 77 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* 3 (* v v))))) (cbrt (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* (* v 3) v)))) (cbrt (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* (* v 3) v)))) (cbrt (sqrt (- 1 (* (* v 3) v))))) * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* v (* v 3))))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* v (* v 3))))) * * * * [misc]progress: [ 78 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* (* v 3) v)))) * [exit]simplify: Simplified to (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* (* v 3) v)))) * * * * [misc]progress: [ 79 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* 3 (* v v)))) (cbrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* (* v v) 3)))) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* (* v v) 3)))) * [enter]simplify: Simplifying (sqrt (cbrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* v (* v 3))))) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* v (* v 3))))) * * * * [misc]progress: [ 80 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v (* v 3))))) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v (* v 3))))) * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v (* v 3))))) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v (* v 3))))) * * * * [misc]progress: [ 81 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (- 1 (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v 3) v))) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v 3) v))) * * * * [misc]progress: [ 82 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow (* 3 (* v v)) 3))) * [exit]simplify: Simplified to (sqrt (- 1 (pow (* 3 (* v v)) 3))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) * [exit]simplify: Simplified to (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) * * * * [misc]progress: [ 83 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) * [enter]simplify: Simplifying (sqrt (+ 1 (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* v 3) v) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (* v 3) v) 1)) * * * * [misc]progress: [ 84 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v (* v 3))))) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v (* v 3))))) * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* 3 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v (* v 3))))) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* v (* v 3))))) * * * * [misc]progress: [ 85 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 98 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 88 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 89 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 90 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (- (+ (* (pow v 4) 3/32) 1/4) (* v (* 5/8 v)))) * * * * [misc]progress: [ 91 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (* (sqrt 2) (* (sqrt -3) v))) (+ (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))) (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 3)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (- (+ (* (/ (/ (sqrt 2) v) (sqrt -3)) (+ 1/8 (/ 1/32 -3))) (* (* (sqrt 2) v) (* 1/4 (sqrt -3)))) (+ (* (* (sqrt 2) (sqrt -3)) (* (* v 1/4) (* v v))) (/ (* (sqrt 2) v) (/ (sqrt -3) 1/8)))) * * * * [misc]progress: [ 92 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 3))))) (+ (* 1/32 (/ (sqrt 2) (* (pow (sqrt -3) 3) v))) (+ (* 1/8 (/ (sqrt 2) (* (sqrt -3) v))) (* 1/4 (* v (* (sqrt 2) (sqrt -3))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (- (- (* (* (pow v 3) (sqrt 2)) (* (sqrt -3) 1/4)) (/ (* (/ 1/32 -3) (sqrt 2)) (* v (sqrt -3)))) (+ (* (* 1/4 v) (* (sqrt 2) (sqrt -3))) (* (/ (sqrt 2) (sqrt -3)) (- (/ 1/8 v) (* v 1/8))))) * * * * [misc]progress: [ 93 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1/4 (sqrt 2)) (+ (* 3/8 (* (sqrt 2) (pow v 2))) (* 9/32 (* (sqrt 2) (pow v 4))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (* (sqrt 2) (- 1/4 (+ (* 3/8 (* v v)) (* (pow v 4) 9/32)))) (- 1 (* v v))) * * * * [misc]progress: [ 94 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* 1/4 (* (sqrt -3) (* (sqrt 2) v))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3))))) (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (+ (* (* (- 1 (* v v)) (* v (sqrt 2))) (* 1/4 (sqrt -3))) (* (* (- 1 (* v v)) (/ (sqrt 2) v)) (- (/ 1/8 (sqrt -3)) (/ (/ (/ 1/32 -3) (sqrt -3)) (* v v))))) * * * * [misc]progress: [ 95 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1/32 (/ (sqrt 2) (* (pow v 3) (pow (sqrt -3) 3)))) (+ (* 1/4 (* (sqrt -3) (* (sqrt 2) v))) (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (- (* (/ (/ 1/32 -3) (sqrt -3)) (/ (sqrt 2) (pow v 3))) (* (sqrt 2) (+ (/ (/ 1/8 v) (sqrt -3)) (* (* 1/4 v) (sqrt -3)))))) * * * * [misc]progress: [ 96 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- 1 (+ (* 3/2 (pow v 2)) (* 9/8 (pow v 4))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (- 1 (+ (* (pow v 4) 9/8) (* v (* v 3/2)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 97 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v)) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (- (+ (/ (/ 1/2 v) (sqrt -3)) (* v (sqrt -3))) (/ (/ (/ 1/8 v) (* v v)) (* (sqrt -3) -3)))) * * * * [misc]progress: [ 98 / 98 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (- (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3)))) (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ (/ 1/8 v) (* v v)) (* (sqrt -3) -3)) (+ (/ (/ 1/2 v) (sqrt -3)) (* v (sqrt -3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * [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 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 1 2) * [misc]approximate: Taking taylor expansion of (* (* v 3) v) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) 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 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) 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 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 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 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 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 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 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 (* 3 (pow v 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) 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 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) 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 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [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 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) 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 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) 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 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [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 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (* (* v 3) v) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* v 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) 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 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 3) v) in v * [misc]taylor: Taking taylor expansion of (* v 3) 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 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 3) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 3)) into 3 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 3 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 1) (* 0 0))) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 1) (* 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 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 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 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 3 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 (* 3 (pow v 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 v) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) 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 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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) 3) (/ 1 v)) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 v) 3) 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 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 3) into 3 * [misc]backup-simplify: Simplify (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [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 3)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- v)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) 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 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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)) 3) (/ 1 (- v))) in v * [misc]taylor: Taking taylor expansion of (* (/ 1 (- v)) 3) 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 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 3) into -3 * [misc]backup-simplify: Simplify (* -3 -1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [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 3)) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 3))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -3 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 (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* 4 4)) (log (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (+ (log 4) (log 4)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (+ (log 4) (log 4)) (log (sqrt 2))) * * * * [misc]progress: [ 3 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* 4 4) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (/ (* 4 4) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (* 4 4) (sqrt 2))) * * * * [misc]progress: [ 4 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* 4 4) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (exp (/ (* 4 4) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (* 4 4) (sqrt 2))) * * * * [misc]progress: [ 5 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* 4 4) (* 4 4)) (* 4 4)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (* (pow 4 3) (pow 4 3)) (+ (sqrt 2) (sqrt 2))) * [exit]simplify: Simplified to (/ (* (pow 4 3) (pow 4 3)) (+ (sqrt 2) (sqrt 2))) * * * * [misc]progress: [ 6 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* 4 4) (sqrt 2))) (cbrt (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* 4 4) (sqrt 2))) (cbrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (* 4 4) (sqrt 2))) (cbrt (/ (* 4 4) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (* 4 4) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (* 4 4) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (* 4 4) (sqrt 2))) * * * * [misc]progress: [ 7 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* 4 4) (sqrt 2)) (/ (* 4 4) (sqrt 2))) (/ (* 4 4) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (pow (/ (* 4 4) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (* 4 4) (sqrt 2)) 3) * * * * [misc]progress: [ 8 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* 4 4) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (* 4 4) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (* 4 4) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (* 4 4) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (* 4 4) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (* 4 4) (sqrt 2))) * * * * [misc]progress: [ 9 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 4)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- 4) 4) * [exit]simplify: Simplified to (* (- 4) 4) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 10 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ 4 (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ 4 (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ 4 (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ 4 (cbrt (sqrt 2))) * * * * [misc]progress: [ 11 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ 4 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 4 (sqrt (sqrt 2))) * * * * [misc]progress: [ 12 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 4 1) * [exit]simplify: Simplified to (/ 4 1) * [enter]simplify: Simplifying (/ 4 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ 4 (sqrt 2)) * [exit]simplify: Simplified to (/ 4 (sqrt 2)) * * * * [misc]progress: [ 13 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 15 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (* 4 4)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (* 4 4)) * [exit]simplify: Simplified to (/ (sqrt 2) (* 4 4)) * * * * [misc]progress: [ 16 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 4 4) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [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 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (/ 4 (cbrt (sqrt 2))) (/ 4 (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ 4 (cbrt (sqrt 2))) (/ 4 (cbrt (sqrt 2)))) * * * * [misc]progress: [ 17 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 4 4) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (/ (* 4 4) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* 4 4) (sqrt (sqrt 2))) * * * * [misc]progress: [ 18 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 4 4) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* 4 (/ 4 1)) * [exit]simplify: Simplified to (* 4 (/ 4 1)) * * * * [misc]progress: [ 19 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) 4) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) 4) * [exit]simplify: Simplified to (/ (sqrt 2) 4) * * * * [misc]progress: [ 20 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 2 4)) (- (log (* 4 4)) (log (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (+ (log (sqrt 2)) (- (log (/ 2 4)) (log (* 4 4)))) * [exit]simplify: Simplified to (+ (log (sqrt 2)) (- (log (/ 2 4)) (log (* 4 4)))) * * * * [misc]progress: [ 22 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 2 4)) (log (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (log (/ 2 4)) (log (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (- (log (/ 2 4)) (log (/ (* 4 4) (sqrt 2)))) * * * * [misc]progress: [ 23 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (log (* (/ (sqrt 2) 4) (/ 2 (* 4 4)))) * [exit]simplify: Simplified to (log (* (/ (sqrt 2) 4) (/ 2 (* 4 4)))) * * * * [misc]progress: [ 24 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (exp (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) * [exit]simplify: Simplified to (exp (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) * * * * [misc]progress: [ 25 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 2 4) (/ 2 4)) (/ 2 4)) (/ (* (* (* 4 4) (* 4 4)) (* 4 4)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (/ (* (* (/ 2 4) (/ 2 4)) (* (/ 2 4) (/ 2 4))) (/ (* (* 4 4) (* 4 4)) (/ (sqrt 2) 4))) * [exit]simplify: Simplified to (/ (* (* (/ 2 4) (/ 2 4)) (* (/ 2 4) (/ 2 4))) (/ (* (* 4 4) (* 4 4)) (/ (sqrt 2) 4))) * * * * [misc]progress: [ 26 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 2 4) (/ 2 4)) (/ 2 4)) (* (* (/ (* 4 4) (sqrt 2)) (/ (* 4 4) (sqrt 2))) (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (392 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ 2 4) (* 4 4)) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (* (/ (/ 2 4) (* 4 4)) (sqrt 2)) 3) * * * * [misc]progress: [ 27 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))) (cbrt (/ (/ 2 4) (/ (* 4 4) (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) (cbrt (* (/ (/ 2 4) (* 4 4)) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) (cbrt (* (/ (/ 2 4) (* 4 4)) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) * * * * [misc]progress: [ 28 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 2 4) (/ (* 4 4) (sqrt 2))) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (pow (* (/ 2 4) (/ (sqrt 2) (* 4 4))) 3) * [exit]simplify: Simplified to (pow (* (/ 2 4) (/ (sqrt 2) (* 4 4))) 3) * * * * [misc]progress: [ 29 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (* (/ (/ 2 4) (* 4 4)) (sqrt 2))) * * * * [misc]progress: [ 30 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 2 4)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ 2 4)) * [exit]simplify: Simplified to (- (/ 2 4)) * [enter]simplify: Simplifying (- (/ (* 4 4) (sqrt 2))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (* (/ 4 (sqrt 2)) (- 4)) * [exit]simplify: Simplified to (* (/ 4 (sqrt 2)) (- 4)) * * * * [misc]progress: [ 31 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 4)) (cbrt (/ 2 4))) (* (cbrt (/ (* 4 4) (sqrt 2))) (cbrt (/ (* 4 4) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 4)) (cbrt (/ (* 4 4) (sqrt 2)))) (/ (cbrt (/ 2 4)) (cbrt (/ (* 4 4) (sqrt 2))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 4)) (cbrt (/ (* 4 4) (sqrt 2)))) (/ (cbrt (/ 2 4)) (cbrt (/ (* 4 4) (sqrt 2))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 4)) (cbrt (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 2 4)) (cbrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 4)) (cbrt (/ (* 4 4) (sqrt 2)))) * * * * [misc]progress: [ 32 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 4)) (cbrt (/ 2 4))) (sqrt (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 2 4)) (cbrt (/ 2 4))) (sqrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 2 4)) (cbrt (/ 2 4))) (sqrt (/ (* 4 4) (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 4)) (sqrt (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 2 4)) (sqrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 4)) (sqrt (/ (* 4 4) (sqrt 2)))) * * * * [misc]progress: [ 33 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 4)) (cbrt (/ 2 4))) (/ 4 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (/ 2 4)) (cbrt (sqrt 2))) (* (cbrt (/ 2 4)) (cbrt (sqrt 2)))) 4) * [exit]simplify: Simplified to (/ (* (* (cbrt (/ 2 4)) (cbrt (sqrt 2))) (* (cbrt (/ 2 4)) (cbrt (sqrt 2)))) 4) * [enter]simplify: Simplifying (/ (cbrt (/ 2 4)) (/ 4 (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 4)) 4) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 4)) 4) (cbrt (sqrt 2))) * * * * [misc]progress: [ 34 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 4)) (cbrt (/ 2 4))) (/ 4 (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ 2 4)) (cbrt (/ 2 4))) (/ 4 (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ 2 4)) (cbrt (/ 2 4))) (/ 4 (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 4)) (/ 4 (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 4)) 4) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 4)) 4) (sqrt (sqrt 2))) * * * * [misc]progress: [ 35 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 4)) (cbrt (/ 2 4))) (/ 4 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 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 4)) 4) (cbrt (/ 2 4))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 4)) 4) (cbrt (/ 2 4))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 4)) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 2 4)) (/ 4 (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 4)) (/ 4 (sqrt 2))) * * * * [misc]progress: [ 36 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 4)) (cbrt (/ 2 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 2 4)) (/ (cbrt (/ 2 4)) 1)) * [exit]simplify: Simplified to (* (cbrt (/ 2 4)) (/ (cbrt (/ 2 4)) 1)) * [enter]simplify: Simplifying (/ (cbrt (/ 2 4)) (/ (* 4 4) (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 2 4)) (/ (* 4 4) (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (/ 2 4)) (/ (* 4 4) (sqrt 2))) * * * * [misc]progress: [ 37 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 4)) (cbrt (/ 2 4))) (* 4 4)) * * [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 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 4)) 4) (/ (cbrt (/ 2 4)) 4)) * [exit]simplify: Simplified to (* (/ (cbrt (/ 2 4)) 4) (/ (cbrt (/ 2 4)) 4)) * [enter]simplify: Simplifying (/ (cbrt (/ 2 4)) (/ 1 (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) 1) (cbrt (/ 2 4))) * [exit]simplify: Simplified to (* (/ (sqrt 2) 1) (cbrt (/ 2 4))) * * * * [misc]progress: [ 38 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (* (cbrt (/ (* 4 4) (sqrt 2))) (cbrt (/ (* 4 4) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 2 4)) (cbrt (/ (* 4 4) (sqrt 2)))) (cbrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ (sqrt (/ 2 4)) (cbrt (/ (* 4 4) (sqrt 2)))) (cbrt (/ (* 4 4) (sqrt 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (cbrt (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) (cbrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) (cbrt (/ (* 4 4) (sqrt 2)))) * * * * [misc]progress: [ 39 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (sqrt (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) (sqrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) (sqrt (/ (* 4 4) (sqrt 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (sqrt (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) (sqrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) (sqrt (/ (* 4 4) (sqrt 2)))) * * * * [misc]progress: [ 40 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (/ 4 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (/ 2 4)) (cbrt (sqrt 2))) (/ 4 (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (* (sqrt (/ 2 4)) (cbrt (sqrt 2))) (/ 4 (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (/ 4 (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 2 4)) 4) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (* (/ (sqrt (/ 2 4)) 4) (cbrt (sqrt 2))) * * * * [misc]progress: [ 41 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (/ 4 (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 2 4)) 4) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (* (/ (sqrt (/ 2 4)) 4) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (/ 4 (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ 2 4)) 4) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (* (/ (sqrt (/ 2 4)) 4) (sqrt (sqrt 2))) * * * * [misc]progress: [ 42 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (/ 4 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) 4) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) 4) * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) (/ 4 (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) (/ 4 (sqrt 2))) * * * * [misc]progress: [ 43 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) 1) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) 1) * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (/ (* 4 4) (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) (/ (* 4 4) (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) (/ (* 4 4) (sqrt 2))) * * * * [misc]progress: [ 44 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (* 4 4)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) (* 4 4)) * [exit]simplify: Simplified to (/ (sqrt (/ 2 4)) (* 4 4)) * [enter]simplify: Simplifying (/ (sqrt (/ 2 4)) (/ 1 (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) 1) (sqrt (/ 2 4))) * [exit]simplify: Simplified to (* (/ (sqrt 2) 1) (sqrt (/ 2 4))) * * * * [misc]progress: [ 45 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (* 4 4) (sqrt 2))) (cbrt (/ (* 4 4) (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (* 4 4) (sqrt 2))) (cbrt (/ (* 4 4) (sqrt 2))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (* 4 4) (sqrt 2))) (cbrt (/ (* 4 4) (sqrt 2))))) * [enter]simplify: Simplifying (/ (/ 2 4) (cbrt (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (/ 2 4) (cbrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ 2 4) (cbrt (/ (* 4 4) (sqrt 2)))) * * * * [misc]progress: [ 46 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (* 4 4) (sqrt 2)))) * [enter]simplify: Simplifying (/ (/ 2 4) (sqrt (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (/ 2 4) (sqrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ 2 4) (sqrt (/ (* 4 4) (sqrt 2)))) * * * * [misc]progress: [ 47 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt 2)) (/ 4 (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cbrt (sqrt 2)) (/ 4 (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (/ 2 4) (/ 4 (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (/ 2 (* 4 4)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (* (/ 2 (* 4 4)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 48 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt 2)) 4) * [exit]simplify: Simplified to (/ (sqrt (sqrt 2)) 4) * [enter]simplify: Simplifying (/ (/ 2 4) (/ 4 (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (/ 2 (* 4 4)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (* (/ 2 (* 4 4)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 49 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 4 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ 1 4) * [exit]simplify: Simplified to (/ 1 4) * [enter]simplify: Simplifying (/ (/ 2 4) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ 2 (/ (* 4 4) (sqrt 2))) * [exit]simplify: Simplified to (/ 2 (/ (* 4 4) (sqrt 2))) * * * * [misc]progress: [ 50 / 104 ] 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 (/ (/ 2 4) (/ (* 4 4) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (/ (/ 2 4) (* 4 4)) (sqrt 2)) * [exit]simplify: Simplified to (* (/ (/ 2 4) (* 4 4)) (sqrt 2)) * * * * [misc]progress: [ 51 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* 4 4)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) 4) * [exit]simplify: Simplified to (/ (/ 1 4) 4) * [enter]simplify: Simplifying (/ (/ 2 4) (/ 1 (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (/ 4 2)) * [exit]simplify: Simplified to (/ (sqrt 2) (/ 4 2)) * * * * [misc]progress: [ 52 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (* (cbrt (/ (* 4 4) (sqrt 2))) (cbrt (/ (* 4 4) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ 2 (* (cbrt (/ (* 4 4) (sqrt 2))) (cbrt (/ (* 4 4) (sqrt 2))))) * [exit]simplify: Simplified to (/ 2 (* (cbrt (/ (* 4 4) (sqrt 2))) (cbrt (/ (* 4 4) (sqrt 2))))) * [enter]simplify: Simplifying (/ (/ 1 4) (cbrt (/ (* 4 4) (sqrt 2)))) * * [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 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (cbrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ 1 4) (cbrt (/ (* 4 4) (sqrt 2)))) * * * * [misc]progress: [ 53 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ 2 (sqrt (/ (* 4 4) (sqrt 2)))) * [enter]simplify: Simplifying (/ (/ 1 4) (sqrt (/ (* 4 4) (sqrt 2)))) * * [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 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 4) (sqrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ 1 4) (sqrt (/ (* 4 4) (sqrt 2)))) * * * * [misc]progress: [ 54 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (/ 4 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt 2)) (/ 2 4)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (* (* (cbrt (sqrt 2)) (/ 2 4)) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (/ 1 4) (/ 4 (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt 2)) (* 4 4)) * [exit]simplify: Simplified to (/ (cbrt (sqrt 2)) (* 4 4)) * * * * [misc]progress: [ 55 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (/ 4 (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt 2)) (/ 2 4)) * [exit]simplify: Simplified to (* (sqrt (sqrt 2)) (/ 2 4)) * [enter]simplify: Simplifying (/ (/ 1 4) (/ 4 (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt 2)) (* 4 4)) * [exit]simplify: Simplified to (/ (sqrt (sqrt 2)) (* 4 4)) * * * * [misc]progress: [ 56 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (/ 4 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (/ 2 4) * [exit]simplify: Simplified to (/ 2 4) * [enter]simplify: Simplifying (/ (/ 1 4) (/ 4 (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (* 4 4)) * [exit]simplify: Simplified to (/ (sqrt 2) (* 4 4)) * * * * [misc]progress: [ 57 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 2 1) * [exit]simplify: Simplified to (/ 2 1) * [enter]simplify: Simplifying (/ (/ 1 4) (/ (* 4 4) (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (pow 4 3)) * [exit]simplify: Simplified to (/ (sqrt 2) (pow 4 3)) * * * * [misc]progress: [ 58 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (* 4 4)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 2 (* 4 4)) * [exit]simplify: Simplified to (/ 2 (* 4 4)) * [enter]simplify: Simplifying (/ (/ 1 4) (/ 1 (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) 4) * [exit]simplify: Simplified to (/ (sqrt 2) 4) * * * * [misc]progress: [ 59 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* 4 4) (sqrt 2))) * * [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 (27 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (* 4 4)) * [exit]simplify: Simplified to (/ (sqrt 2) (* 4 4)) * * * * [misc]progress: [ 61 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* 4 4) (sqrt 2)) (/ 2 4)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (* 4 4) (sqrt 2)) (/ 4 2)) * [exit]simplify: Simplified to (* (/ (* 4 4) (sqrt 2)) (/ 4 2)) * * * * [misc]progress: [ 62 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 4) (* (cbrt (/ (* 4 4) (sqrt 2))) (cbrt (/ (* 4 4) (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (/ (/ 2 4) (cbrt (/ (* 4 4) (sqrt 2)))) (cbrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ (/ 2 4) (cbrt (/ (* 4 4) (sqrt 2)))) (cbrt (/ (* 4 4) (sqrt 2)))) * * * * [misc]progress: [ 63 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 4) (sqrt (/ (* 4 4) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (/ 2 4) (sqrt (/ (* 4 4) (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ 2 4) (sqrt (/ (* 4 4) (sqrt 2)))) * * * * [misc]progress: [ 64 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 4) (/ 4 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt 2)) 4) (/ (cbrt (sqrt 2)) (/ 4 2))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt 2)) 4) (/ (cbrt (sqrt 2)) (/ 4 2))) * * * * [misc]progress: [ 65 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 4) (/ 4 (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (/ 2 (* 4 4)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (* (/ 2 (* 4 4)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 66 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 4) (/ 4 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (/ 2 4) 4) * [exit]simplify: Simplified to (/ (/ 2 4) 4) * * * * [misc]progress: [ 67 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 4) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 2 4) * [exit]simplify: Simplified to (/ 2 4) * * * * [misc]progress: [ 68 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 4) (* 4 4)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (/ (/ 2 4) (* 4 4)) * [exit]simplify: Simplified to (/ (/ 2 4) (* 4 4)) * * * * [misc]progress: [ 69 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* 4 4) (sqrt 2)) (cbrt (/ 2 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ (* 4 4) (sqrt 2)) (cbrt (/ 2 4))) * [exit]simplify: Simplified to (/ (/ (* 4 4) (sqrt 2)) (cbrt (/ 2 4))) * * * * [misc]progress: [ 70 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* 4 4) (sqrt 2)) (sqrt (/ 2 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ (* 4 4) (sqrt 2)) (sqrt (/ 2 4))) * [exit]simplify: Simplified to (/ (/ (* 4 4) (sqrt 2)) (sqrt (/ 2 4))) * * * * [misc]progress: [ 71 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* 4 4) (sqrt 2)) (/ 2 4)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (* 4 4) (sqrt 2)) (/ 4 2)) * [exit]simplify: Simplified to (* (/ (* 4 4) (sqrt 2)) (/ 4 2)) * * * * [misc]progress: [ 72 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* 4 4) (sqrt 2)) (/ 1 4)) * * [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 (47 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ 4 (/ (sqrt 2) (* 4 4))) * [exit]simplify: Simplified to (/ 4 (/ (sqrt 2) (* 4 4))) * * * * [misc]progress: [ 73 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 4) (* 4 4)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (/ (/ 2 4) (* 4 4)) * [exit]simplify: Simplified to (/ (/ 2 4) (* 4 4)) * * * * [misc]progress: [ 74 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* 4 4) (sqrt 2)) 4) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (pow 4 3) (sqrt 2)) * [exit]simplify: Simplified to (/ (pow 4 3) (sqrt 2)) * * * * [misc]progress: [ 75 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* v 3) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (log (* v (* 3 v))) * [exit]simplify: Simplified to (log (* v (* 3 v))) * * * * [misc]progress: [ 77 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* v 3) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (pow (exp v) (* 3 v)) * [exit]simplify: Simplified to (pow (exp v) (* 3 v)) * * * * [misc]progress: [ 78 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* v 3) v)) (cbrt (* (* v 3) v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* v (* 3 v))) (cbrt (* v (* 3 v)))) * [exit]simplify: Simplified to (* (cbrt (* v (* 3 v))) (cbrt (* v (* 3 v)))) * [enter]simplify: Simplifying (cbrt (* (* v 3) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cbrt (* v (* 3 v))) * [exit]simplify: Simplified to (cbrt (* v (* 3 v))) * * * * [misc]progress: [ 79 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* v 3) v) (* (* v 3) v)) (* (* v 3) v)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (pow (* v (* 3 v)) 3) * [exit]simplify: Simplified to (pow (* v (* 3 v)) 3) * * * * [misc]progress: [ 80 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* v 3) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (* v (* 3 v))) * [exit]simplify: Simplified to (sqrt (* v (* 3 v))) * [enter]simplify: Simplifying (sqrt (* (* v 3) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (* v (* 3 v))) * [exit]simplify: Simplified to (sqrt (* v (* 3 v))) * * * * [misc]progress: [ 81 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 v) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* v 3) * [exit]simplify: Simplified to (* v 3) * * * * [misc]progress: [ 83 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* v 3) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (log (* v (* 3 v))) * [exit]simplify: Simplified to (log (* v (* 3 v))) * * * * [misc]progress: [ 86 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* v 3) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (pow (exp v) (* 3 v)) * [exit]simplify: Simplified to (pow (exp v) (* 3 v)) * * * * [misc]progress: [ 87 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* v 3) v)) (cbrt (* (* v 3) v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* v (* 3 v))) (cbrt (* v (* 3 v)))) * [exit]simplify: Simplified to (* (cbrt (* v (* 3 v))) (cbrt (* v (* 3 v)))) * [enter]simplify: Simplifying (cbrt (* (* v 3) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cbrt (* v (* 3 v))) * [exit]simplify: Simplified to (cbrt (* v (* 3 v))) * * * * [misc]progress: [ 88 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* v 3) v) (* (* v 3) v)) (* (* v 3) v)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (pow (* v (* 3 v)) 3) * [exit]simplify: Simplified to (pow (* v (* 3 v)) 3) * * * * [misc]progress: [ 89 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* v 3) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (* v (* 3 v))) * [exit]simplify: Simplified to (sqrt (* v (* 3 v))) * [enter]simplify: Simplifying (sqrt (* (* v 3) v)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (* v (* 3 v))) * [exit]simplify: Simplified to (sqrt (* v (* 3 v))) * * * * [misc]progress: [ 90 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 v) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* v 3) * [exit]simplify: Simplified to (* v 3) * * * * [misc]progress: [ 92 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) 3)))) (* (/ 4 (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (/ 2 4))))) * * * * [misc]progress: [ 94 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) 3)))) (* (/ 4 (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (/ 2 4))))) * * * * [misc]progress: [ 95 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) 3)))) (* (/ 4 (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (/ 2 4))))) * * * * [misc]progress: [ 96 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) 3)))) (* (/ 4 (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (/ 2 4))))) * * * * [misc]progress: [ 97 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) 3)))) (* (/ 4 (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (/ 2 4))))) * * * * [misc]progress: [ 98 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v v) 3))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* (* v v) 3)))) (* (/ 4 (- 1 (* v v))) (/ (/ 4 (sqrt 2)) (/ 2 4))))) * * * * [misc]progress: [ 99 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* 3 (pow v 2))))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (* (- 1 (* (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (sqrt (- 1 (* (* v v) 3)))) (* (/ (/ 4 (sqrt 2)) 2) (/ (* 4 4) (- 1 (* v v)))))) * * * * [misc]progress: [ 100 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* 3 (pow v 2))))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (* (- 1 (* (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (sqrt (- 1 (* (* v v) 3)))) (* (/ (/ 4 (sqrt 2)) 2) (/ (* 4 4) (- 1 (* v v)))))) * * * * [misc]progress: [ 101 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* 3 (pow v 2))))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (* (- 1 (* (* v v) 3)) (* (- 1 (* v v)) (- 1 (* v v)))) (sqrt (- 1 (* (* v v) 3)))) (* (/ (/ 4 (sqrt 2)) 2) (/ (* 4 4) (- 1 (* v v)))))) * * * * [misc]progress: [ 102 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- 1 (* 3 (pow v 2))) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (- 1 (* (* v 3) v)))) (* (/ (/ 4 (sqrt 2)) (- 1 (* v v))) (/ (* 4 4) (+ (- 1 (* v v)) (- 1 (* v v))))))) * * * * [misc]progress: [ 103 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- 1 (* 3 (pow v 2))) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (- 1 (* (* v 3) v)))) (* (/ (/ 4 (sqrt 2)) (- 1 (* v v))) (/ (* 4 4) (+ (- 1 (* v v)) (- 1 (* v v))))))) * * * * [misc]progress: [ 104 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (- 1 (* 3 (pow v 2))) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (- 1 (* (* v 3) v)))) (* (/ (/ 4 (sqrt 2)) (- 1 (* v v))) (/ (* 4 4) (+ (- 1 (* v v)) (- 1 (* v v))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 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 1 1 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 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 (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 1))) into 0 * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (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 (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 1))) into 0 * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (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 (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 1))) into 0 * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (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 (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 1))) into 0 * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (sqrt (* 1/4 (sqrt 2))) into (* 1/2 (sqrt (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 (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/4 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (* 1/2 (sqrt (sqrt 2))) (* 1/2 (sqrt (sqrt 2)))) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (* 0 (* 1/2 (sqrt (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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/8 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -1) (+ (* 0 0) (* (- (* 3/8 (sqrt 2))) 1))) into (- (* 5/8 (sqrt 2))) * [misc]backup-simplify: Simplify (/ (- (- (* 5/8 (sqrt 2))) (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into (* -5/8 (sqrt (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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/8 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -1) (+ (* 0 0) (* (- (* 3/8 (sqrt 2))) 1))) into (- (* 5/8 (sqrt 2))) * [misc]backup-simplify: Simplify (/ (- (- (* 5/8 (sqrt 2))) (pow 0 2) (+)) (* 2 (* 1/2 (sqrt (sqrt 2))))) into (* -5/8 (sqrt (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (* -5/8 (sqrt (sqrt 2)))) (+ (* 0 0) (* (* -5/8 (sqrt (sqrt 2))) (* 1/2 (sqrt (sqrt 2)))))) into (- (* 5/8 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 5/8 (sqrt 2))) into (- (* 5/8 (sqrt 2))) * [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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 -3/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -1) (+ (* (- (* 3/8 (sqrt 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* -5/8 (sqrt (sqrt 2))))))) (* 2 (* 1/2 (sqrt (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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 -3/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -1) (+ (* (- (* 3/8 (sqrt 2))) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* -5/8 (sqrt (sqrt 2))))))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) 0) (+ (* 0 (* -5/8 (sqrt (sqrt 2)))) (+ (* (* -5/8 (sqrt (sqrt 2))) 0) (* 0 (* 1/2 (sqrt (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/32 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 3/8 (sqrt 2))) -1) (+ (* 0 0) (* (- (* 9/32 (sqrt 2))) 1))))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (- (* 3/32 (sqrt 2)) (pow (* -5/8 (sqrt (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into (* -19/64 (sqrt (sqrt 2))) * [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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/32 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 3/8 (sqrt 2))) -1) (+ (* 0 0) (* (- (* 9/32 (sqrt 2))) 1))))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (- (* 3/32 (sqrt 2)) (pow (* -5/8 (sqrt (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (* 1/2 (sqrt (sqrt 2))))) into (* -19/64 (sqrt (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (sqrt (sqrt 2))) (* -19/64 (sqrt (sqrt 2)))) (+ (* 0 0) (+ (* (* -5/8 (sqrt (sqrt 2))) (* -5/8 (sqrt (sqrt 2)))) (+ (* 0 0) (* (* -19/64 (sqrt (sqrt 2))) (* 1/2 (sqrt (sqrt 2)))))))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* 3/32 (sqrt 2)) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* 3/32 (sqrt 2)) (pow v 4)) (+ (* (- (* 5/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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 (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3))) * [misc]taylor: Taking taylor expansion of (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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 (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3))) * [misc]taylor: Taking taylor expansion of (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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 (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3))) * [misc]taylor: Taking taylor expansion of (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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 (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (* (sqrt 2) (sqrt -3))) 0)) into 0 * [misc]backup-simplify: Simplify 0 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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (sqrt 2) (sqrt -3))) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) * [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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (sqrt 2) (sqrt -3))) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (+ (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) 0))) into (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) into (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) * [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 (- (+ (* 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 (+ (* 3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))) (* 2 0)) into (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))) * [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 (- (+ (* 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 (+ (* 3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))) (* 2 0)) into (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))))))) (+ (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (+ (* (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))) 0)))) into (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))) into (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))) * [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 (- (+ (* 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 (+ (* 3 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 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) 2) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) * [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 (- (+ (* 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 (+ (* 3 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 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) 2) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))))) (+ (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))))))) (+ (* (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (+ (* (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))) (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) 0))))) into (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) into (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) (+ (* (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))) (/ 1 (/ 1 v))) (* (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (pow (/ 1 (/ 1 v)) 2)))) into (- (+ (* +nan.0 (* (pow (sqrt -3) 2) (* (pow (sqrt 2) 2) (pow v 2)))) (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt -3) 3) (* (pow (sqrt 2) 3) v))) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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 (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3))) * [misc]taylor: Taking taylor expansion of (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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 (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3))) * [misc]taylor: Taking taylor expansion of (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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 (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3))) * [misc]taylor: Taking taylor expansion of (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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 (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* -1/4 (* (sqrt 2) (sqrt -3))) (* 2 (sqrt 0))) into (* +nan.0 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (* (sqrt 2) (sqrt -3))) 0)) 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 (- (+ (* -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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (sqrt 2) (sqrt -3))) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) * [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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (sqrt 2) (sqrt -3))) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (+ (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) 0))) into (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) into (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) * [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) 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 (+ (* 3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))) (* 2 0)) into (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 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 (- (+ (* -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) 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 (+ (* 3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))) (* 2 0)) into (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))))))) (+ (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (+ (* (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))) 0)))) into (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))) into (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 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 (- (+ (* -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) 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 (+ (* 3 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 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) 2) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) * [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) 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 (+ (* 3 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 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) 2) (+ (* 2 (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))))))))) (+ (* (* +nan.0 (* (sqrt 2) (sqrt -3))) (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))))))) (+ (* (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2))) (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (+ (* (* +nan.0 (- (* 1/4 (* (sqrt 2) (sqrt -3))) (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3))))))) (* +nan.0 (* (sqrt 2) (sqrt -3)))) (* (* +nan.0 (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) 0))))) into (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) into (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))) (+ (* (- (* +nan.0 (* (pow (sqrt 2) 3) (pow (sqrt -3) 3)))) (/ 1 (/ 1 (- v)))) (* (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))) (pow (/ 1 (/ 1 (- v))) 2)))) into (- (+ (* +nan.0 (* (pow (sqrt -3) 2) (* (pow (sqrt 2) 2) (pow v 2)))) (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt -3) 3) (* (pow (sqrt 2) 3) v))) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2 1 2) * [misc]approximate: Taking taylor expansion of (* 3 (* v v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (* 3 (pow v 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2 1 2) * [misc]approximate: Taking taylor expansion of (* 3 (* v v)) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (* 3 (pow v 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (* 3 (pow (/ 1 (/ 1 v)) 2)) into (* 3 (pow v 2)) * [misc]approximate: Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify 3 into 3 * [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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (+ (* 3 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 (* 3 (pow (/ 1 (/ 1 (- v))) 2)) into (* 3 (pow v 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 1))) into 0 * [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) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* v v)))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* 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 (* 3 (* v v)) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 1))) into 0 * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [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 (* (* 1/4 (sqrt 2)) 1) into (* 1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/4 (sqrt 2)) into (* 1/4 (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 (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 3 1) (+ (* 0 0) (* 0 0))) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (/ (- -3 (pow 0 2) (+)) (* 2 1)) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -3/2) (+ (* 0 0) (* 0 1))) into (- (* 3/8 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -1) (+ (* 0 0) (* (- (* 3/8 (sqrt 2))) 1))) into (- (* 5/8 (sqrt 2))) * [misc]backup-simplify: Simplify (- (* 5/8 (sqrt 2))) into (- (* 5/8 (sqrt 2))) * [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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 -3/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 -1) (+ (* (- (* 3/8 (sqrt 2))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 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 -3/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -9/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) -9/8) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 1))))) into (- (* 9/32 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 3/8 (sqrt 2))) -1) (+ (* 0 0) (* (- (* 9/32 (sqrt 2))) 1))))) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (* 3/32 (sqrt 2)) into (* 3/32 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (* 3/32 (sqrt 2)) (pow v 4)) (+ (* (- (* 5/8 (sqrt 2))) (pow v 2)) (* 1/4 (sqrt 2)))) into (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) * [misc]approximate: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) (- 1 (* (/ 1 v) (/ 1 v)))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v)))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 v) (/ 1 v))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 v) (/ 1 v))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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 (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 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 (- (+ (* 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 (+ (* 3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [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 (- (+ (* 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 (+ (* 3 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 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 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 (- (+ (* 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 (+ (* 3 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 (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 0) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) -1))))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (/ 1 v)) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 v))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 v)) 3)))) into (- (+ (* 1/4 (* (sqrt 2) (* (sqrt -3) v))) (+ (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))) (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 3)))))) * [misc]approximate: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in (v) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) in v * [misc]taylor: Taking taylor expansion of (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v))))))) in v * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) 4) in v * [misc]taylor: Taking taylor expansion of (sqrt 2) in v * [misc]taylor: Taking taylor expansion of 2 in v * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 4 in v * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ (sqrt 2) 4) into (* 1/4 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))))) in v * [misc]taylor: Taking taylor expansion of (- 1 (* 3 (* (/ 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 (* 3 (* (/ 1 (- v)) (/ 1 (- v)))) in v * [misc]taylor: Taking taylor expansion of 3 in v * [misc]backup-simplify: Simplify 3 into 3 * [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 (* 3 1) into 3 * [misc]backup-simplify: Simplify (- 3) into -3 * [misc]backup-simplify: Simplify (+ 0 -3) into -3 * [misc]backup-simplify: Simplify (sqrt -3) into (sqrt -3) * [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 (+ (* 3 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 -3))) into 0 * [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 (* (* 1/4 (sqrt 2)) (sqrt -3)) into (* 1/4 (* (sqrt 2) (sqrt -3))) * [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 (* (* 1/4 (* (sqrt 2) (sqrt -3))) -1) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (* -1/4 (* (sqrt 2) (sqrt -3))) into (* -1/4 (* (sqrt 2) (sqrt -3))) * [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 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (* 0 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 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 (- 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 (+ (* 3 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -3))) into (/ 1/2 (sqrt -3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))) into (* 1/8 (/ (sqrt 2) (sqrt -3))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (* 1/8 (/ (sqrt 2) (sqrt -3))) -1))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) into (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -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 (- (+ (* -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) 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 (+ (* 3 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 (/ 1/2 (sqrt -3)))))) (* 2 (sqrt -3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 1) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 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 (- 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 (+ (* 3 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 (/ 1/2 (sqrt -3)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -3))) into (/ -1/8 (pow (sqrt -3) 3)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 (sqrt 2)) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 (sqrt 2)) (/ -1/8 (pow (sqrt -3) 3))) (+ (* 0 0) (+ (* 0 (/ 1/2 (sqrt -3))) (+ (* 0 0) (* 0 (sqrt -3)))))) into (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (* 1/4 (* (sqrt 2) (sqrt -3))) 0) (+ (* 0 0) (+ (* (* 1/8 (/ (sqrt 2) (sqrt -3))) 1) (+ (* 0 0) (* (- (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) -1))))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) into (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (/ (sqrt 2) (sqrt -3))) (* 1/32 (/ (sqrt 2) (pow (sqrt -3) 3)))) (/ 1 (- v))) (+ (* (- (* 1/4 (* (sqrt 2) (sqrt -3))) (* 1/8 (/ (sqrt 2) (sqrt -3)))) (/ 1 (/ 1 (- v)))) (* (* -1/4 (* (sqrt 2) (sqrt -3))) (pow (/ 1 (/ 1 (- v))) 3)))) into (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 3))))) (+ (* 1/32 (/ (sqrt 2) (* (pow (sqrt -3) 3) v))) (+ (* 1/8 (/ (sqrt 2) (* (sqrt -3) v))) (* 1/4 (* v (* (sqrt 2) (sqrt -3))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 2 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 3 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (* (/ (/ 2 4) 4) (* (- 1 (* (* v 3) v)) (- 1 (* v v)))) (- 1 (* v v))) * [exit]simplify: Simplified to (* (* (/ (/ 2 4) 4) (* (- 1 (* (* v 3) v)) (- 1 (* v v)))) (- 1 (* v v))) * * * * [misc]progress: [ 4 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * * * * [misc]progress: [ 5 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 7 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (log (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) (log (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))))) * [exit]simplify: Simplified to (+ (log (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) (log (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))))) * * * * [misc]progress: [ 9 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (log (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) * * * * [misc]progress: [ 10 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (exp (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) * [exit]simplify: Simplified to (exp (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) * * * * [misc]progress: [ 11 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (* (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (pow (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4))) 3) * [exit]simplify: Simplified to (pow (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4))) 3) * * * * [misc]progress: [ 12 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (cbrt (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (cbrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (cbrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [enter]simplify: Simplifying (cbrt (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) * * * * [misc]progress: [ 13 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (pow (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) 3) * [exit]simplify: Simplified to (pow (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) 3) * * * * [misc]progress: [ 14 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (* (/ (/ 2 4) 4) (* (- 1 (* (* v 3) v)) (- 1 (* v v)))) (- 1 (* v v))) * [exit]simplify: Simplified to (* (* (/ (/ 2 4) 4) (* (- 1 (* (* v 3) v)) (- 1 (* v v)))) (- 1 (* v v))) * * * * [misc]progress: [ 15 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* v 3)))))) * [exit]simplify: Simplified to (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* v 3)))))) * [enter]simplify: Simplifying (sqrt (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* v 3)))))) * [exit]simplify: Simplified to (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* v 3)))))) * * * * [misc]progress: [ 16 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1))) (+ 4 (* (+ (* v v) (* (* v v) (* v v))) 4))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1))) (+ 4 (* (+ (* v v) (* (* v v) (* v v))) 4))) * * * * [misc]progress: [ 18 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ 4 (* (* v v) 4)))) (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* (* (* v v) 4) (+ 1 (* v v))) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ 4 (* (* v v) 4)))) (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* (* (* v v) 4) (+ 1 (* v v))) 4)))) * * * * [misc]progress: [ 19 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (sqrt (+ (* 3 (* v v)) 1))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (sqrt (+ (* 3 (* v v)) 1))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4)))) * * * * [misc]progress: [ 20 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (437 enodes) * * [misc]simplify: iters left: 1 (480 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))) (+ 4 (* (+ (* v v) (* (* v v) (* v v))) 4)))) (sqrt (* (* (sqrt (+ (* v (* 3 v)) 1)) 4) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))) (+ 4 (* (+ (* v v) (* (* v v) (* v v))) 4)))) (sqrt (* (* (sqrt (+ (* v (* 3 v)) 1)) 4) (+ 1 (* v v))))) * * * * [misc]progress: [ 21 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4)))) * * * * [misc]progress: [ 22 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))) (+ 4 (* (* (* v v) 4) (+ 1 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))) (+ 4 (* (* (* v v) 4) (+ 1 (* v v))))))) * * * * [misc]progress: [ 23 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* v (* 3 v)) 1)) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* v (* 3 v)) 1)) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))) (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4)))) * * * * [misc]progress: [ 24 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * * * * [misc]progress: [ 25 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* (* v v) 4) 4) (* (* (* v v) 4) (* v v)))) (sqrt (* (+ (+ (* (* v v) 4) 4) (* (* (* v v) 4) (* v v))) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* (* v v) 4) 4) (* (* (* v v) 4) (* v v)))) (sqrt (* (+ (+ (* (* v v) 4) 4) (* (* (* v v) 4) (* v v))) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * * * * [misc]progress: [ 26 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) 4) 4)) (sqrt (* (* (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) 4))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) 4) 4)) (sqrt (* (* (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (+ 1 (* v v)) (* (* v v) (* v v)))) 4))) * * * * [misc]progress: [ 27 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* 3 v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* 3 v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (sqrt (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (sqrt (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * * * * [misc]progress: [ 28 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* 3 v)))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* 3 v)))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (+ (* (* (* v v) 4) (+ 1 (* v v))) 4) (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1)))))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (+ (* (* (* v v) 4) (+ 1 (* v v))) 4) (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1)))))) * * * * [misc]progress: [ 29 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))))) (sqrt (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))))) (sqrt (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * * * * [misc]progress: [ 30 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * * [misc]simplify: iters left: 1 (412 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4)) (sqrt (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4)) (sqrt (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * * * * [misc]progress: [ 31 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) (sqrt (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) (sqrt (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * * * * [misc]progress: [ 32 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ 4 (* (sqrt 2) (- 1 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ 4 (* (sqrt 2) (- 1 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* 3 (* v v)) 1))) (sqrt (* (+ (* (* (* v v) 4) (+ 1 (* v v))) 4) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* 3 (* v v)) 1))) (sqrt (* (+ (* (* (* v v) 4) (+ 1 (* v v))) 4) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * * * * [misc]progress: [ 33 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * * * * [misc]progress: [ 34 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* v v) 1) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (* (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* v v) 1) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (* (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))))) * * * * [misc]progress: [ 35 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (+ (* 4 (* v v)) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))) * [exit]simplify: Simplified to (* (+ (* 4 (* v v)) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))) * * * * [misc]progress: [ 36 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 (sqrt (+ (* (* v v) 3) 1))))) (sqrt (* (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))) (+ 4 (* (* v v) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 (sqrt (+ (* (* v v) 3) 1))))) (sqrt (* (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))) (+ 4 (* (* v v) 4))))) * * * * [misc]progress: [ 37 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))))) (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))))) (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (* (* v v) 3) 1))))) * * * * [misc]progress: [ 38 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))) (+ (* v v) 1)) 4)) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))) (+ (* v v) 1)) 4)) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3)))))))) * * * * [misc]progress: [ 39 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* (* 4 v) v) 4))) (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* (* 4 v) v) 4))) (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ 1 (* v v))))) * * * * [misc]progress: [ 40 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (* (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))) (+ (* 4 (* v v)) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (* (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))) (+ (* 4 (* v v)) 4)))) * * * * [misc]progress: [ 41 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ 4 (* v (* 4 v))))) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ 4 (* v (* 4 v))))) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) (+ 1 (* v v))))) * * * * [misc]progress: [ 42 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* (* 4 v) v) 4))) (sqrt (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* (* 4 v) v) 4))) (sqrt (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 43 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 4 (* v (* 4 v))) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (+ 4 (* v (* 4 v))))) * [exit]simplify: Simplified to (* (sqrt (* (+ 4 (* v (* 4 v))) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (+ 4 (* v (* 4 v))))) * * * * [misc]progress: [ 44 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (+ (* v v) 1)) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))))) (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (+ (* v v) 1)) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))))) (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * * * * [misc]progress: [ 45 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))))) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))))) * * * * [misc]progress: [ 46 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))) 4)) (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))) 4)) (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))))) * * * * [misc]progress: [ 47 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))) 4))) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))) 4))) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4))) * * * * [misc]progress: [ 48 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (* (sqrt 2) (- 1 (* v v)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (* (sqrt 2) (- 1 (* v v)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))) (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))) (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))))) * * * * [misc]progress: [ 49 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ 4 (* (sqrt 2) (- 1 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ 4 (* (sqrt 2) (- 1 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))))) (sqrt (sqrt (+ (* (* 3 v) v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))))) (sqrt (sqrt (+ (* (* 3 v) v) 1)))) * * * * [misc]progress: [ 50 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v)))) (sqrt 4)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))))) * * * * [misc]progress: [ 51 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) 4)) (sqrt (* (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (+ (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))) (+ (+ (* v v) 1) (* (* v v) (* v v)))) 4)) (sqrt (* (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt (+ (* (* v v) 3) 1))))) * * * * [misc]progress: [ 52 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))))) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* 4 (* v v)) 4) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))))) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ (* (* v v) 3) 1))))) * * * * [misc]progress: [ 53 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3)))) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3)))) * * * * [misc]progress: [ 54 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* (+ (* v v) 1) (* 4 (sqrt (+ 1 (* (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* (+ (* v v) 1) (* 4 (sqrt (+ 1 (* (* v v) 3))))))) * * * * [misc]progress: [ 55 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (sqrt (+ (* (* 3 v) v) 1)) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (* (sqrt (+ (* (* 3 v) v) 1)) 4)))) * * * * [misc]progress: [ 56 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))))) (sqrt (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))))) (sqrt (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ (* (* v v) 3) 1))))) * * * * [misc]progress: [ 57 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (379 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 58 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* v (* v 3)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4))) (sqrt (* (sqrt (+ 1 (* v (* v 3)))) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* v (* v 3)))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4))) (sqrt (* (sqrt (+ 1 (* v (* v 3)))) (+ (* v v) 1)))) * * * * [misc]progress: [ 59 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4))) * * * * [misc]progress: [ 60 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* v (* 3 v)))))) (sqrt (+ 4 (* 4 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* v (* 3 v)))))) (sqrt (+ 4 (* 4 (* v v))))) * * * * [misc]progress: [ 61 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 62 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 (sqrt (+ 1 (* (* v v) 3)))))) (sqrt (+ (* v v) 1))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 (sqrt (+ 1 (* (* v v) 3)))))) (sqrt (+ (* v v) 1))) * * * * [misc]progress: [ 63 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))) 4)) (sqrt (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ (* (* 3 v) v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))) 4)) (sqrt (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ (* (* 3 v) v) 1))))) * * * * [misc]progress: [ 64 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4)) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4)) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 65 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))))) * * * * [misc]progress: [ 66 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (* (sqrt 2) (- 1 (* v v)))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (* (sqrt 2) (- 1 (* v v)))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (* (* v v) 3)))) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 67 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (394 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 68 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ 1 (* (* 3 v) v))) 4) (+ (* v v) 1))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ 1 (* (* 3 v) v))) 4) (+ (* v v) 1))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (* 4 (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))))) * * * * [misc]progress: [ 69 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 4 (* (* v v) 4)))) (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ 4 (* (* v v) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 4 (* (* v v) 4)))) (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ 4 (* (* v v) 4))))) * * * * [misc]progress: [ 70 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) 4) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4) (sqrt (+ 1 (* (* v v) 3))))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) 4) 4)))) * * * * [misc]progress: [ 71 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* v v)) 4) (sqrt (+ 1 (* v (* 3 v))))) * [exit]simplify: Simplified to (* (* (+ 1 (* v v)) 4) (sqrt (+ 1 (* v (* 3 v))))) * * * * [misc]progress: [ 72 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* 4 (* v v)) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* 4 (* v v)) 4)))) * * * * [misc]progress: [ 73 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* v (* 3 v)))) (+ (* 4 (* v v)) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* v (* 3 v))) (* (* v (* 3 v)) (* v (* 3 v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* v (* 3 v)))) (+ (* 4 (* v v)) 4)))) * * * * [misc]progress: [ 74 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (* (- 1 (pow (* v v) 3)) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (* (- 1 (pow (* v v) 3)) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) (* v v)) (+ 1 (* v v))))) (sqrt (* (* (sqrt (+ 1 (* (* v v) 3))) 4) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) (* v v)) (+ 1 (* v v))))) (sqrt (* (* (sqrt (+ 1 (* (* v v) 3))) 4) (+ 1 (* v v))))) * * * * [misc]progress: [ 75 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* v (* v 4)) 4))) (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* v (* v 4)) 4))) (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 76 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* (* v v) 4) 4) (* (* v v) (* (* v v) 4)))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) 4) 4)))) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* (* v v) 4) 4) (* (* v v) (* (* v v) 4)))) (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (* (* v v) 4) 4)))) * * * * [misc]progress: [ 77 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v (* v 4)) 4) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ (* v (* v 4)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v (* v 4)) 4) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ (* v (* v 4)) 4))) * * * * [misc]progress: [ 78 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ 1 (* (* v v) 3))) 4) (+ 1 (* v v)))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ 1 (* (* v v) 3))) 4) (+ 1 (* v v)))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * * * * [misc]progress: [ 79 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* 4 (* v v)) 4))) (sqrt (+ (* v v) 1))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* 4 (* v v)) 4))) (sqrt (+ (* v v) 1))) * * * * [misc]progress: [ 80 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) 4)) (sqrt (* (+ 4 (* (* v 4) v)) (sqrt (+ 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) 4)) (sqrt (* (+ 4 (* (* v 4) v)) (sqrt (+ 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 81 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* 4 (* v v)) 4))) (sqrt (* 4 (sqrt (+ 1 (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* 4 (* v v)) 4))) (sqrt (* 4 (sqrt (+ 1 (* (* 3 v) v)))))) * * * * [misc]progress: [ 82 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* (* v v) 4) 4)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* (* v v) 4) 4)))) * * * * [misc]progress: [ 83 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* 4 (* v v)) 4))) (sqrt (sqrt (+ 1 (* (* 3 v) v))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* 4 (* v v)) 4))) (sqrt (sqrt (+ 1 (* (* 3 v) v))))) * * * * [misc]progress: [ 84 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v)))) (sqrt 4)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* 4 (* v v)) 4))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* 4 (* v v)) 4))) (sqrt 4)) * * * * [misc]progress: [ 85 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 4 (* (+ (* v v) 1) (* 4 (* v v)))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (+ 4 (* (+ (* v v) 1) (* 4 (* v v)))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) * * * * [misc]progress: [ 86 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* v v) 3) 3))))) (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* v v) 3) 3))))) (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) 4) (+ (* v v) 1))) (sqrt (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) 4) (+ (* v v) 1))) (sqrt (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 87 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))))))) * * * * [misc]progress: [ 88 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (* (* 4 (+ (* v v) 1)) (sqrt (+ 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (* (* 4 (+ (* v v) 1)) (sqrt (+ 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 89 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))))) * [exit]simplify: Simplified to (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))))) * * * * [misc]progress: [ 90 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) (+ (* v v) 1)))) * * * * [misc]progress: [ 91 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))))))) * * * * [misc]progress: [ 92 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* v (* v 3)))) (+ (* v v) 1))) (sqrt (* (sqrt (+ (* (* v (* v 3)) (* v (* v 3))) (+ 1 (* v (* v 3))))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* v (* v 3)))) (+ (* v v) 1))) (sqrt (* (sqrt (+ (* (* v (* v 3)) (* v (* v 3))) (+ 1 (* v (* v 3))))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 93 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* v (* 3 v)))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* v (* 3 v)))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (+ (* (+ (* v v) 1) (* 4 (* v v))) 4))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (+ (* (+ (* v v) 1) (* 4 (* v v))) 4))) * * * * [misc]progress: [ 94 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* 4 (* v v)) 4)) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ 1 (* v (* 3 v)))))))) * [exit]simplify: Simplified to (* (sqrt (+ (* 4 (* v v)) 4)) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ 1 (* v (* 3 v)))))))) * * * * [misc]progress: [ 95 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* 3 v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* 3 v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * * * * [misc]progress: [ 96 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (+ (* v v) 1))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (+ (* v v) 1))) * * * * [misc]progress: [ 97 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) 4))) * * * * [misc]progress: [ 98 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (* v (* 3 v)))))) (sqrt (* (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ 1 (* v (* 3 v))))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (* v (* 3 v)))))) (sqrt (* (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ 1 (* v (* 3 v))))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 99 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))))) * * * * [misc]progress: [ 100 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (sqrt (+ 1 (* (* 3 v) v))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (sqrt (+ 1 (* (* 3 v) v))))) * * * * [misc]progress: [ 101 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt 4)) * * * * [misc]progress: [ 102 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))))) * * * * [misc]progress: [ 103 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 4 (* 4 (* v v))) (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (+ 4 (* 4 (* v v))) (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* v v) 1)))) * * * * [misc]progress: [ 104 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * * [misc]simplify: iters left: 1 (398 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* (* 4 (* v v)) (+ 1 (* v v))) 4))) (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* (* 4 (* v v)) (+ 1 (* v v))) 4))) (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ 1 (* v v))))) * * * * [misc]progress: [ 105 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 4 (* v v)) 4))) (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 4 (* v v)) 4))) (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) * * * * [misc]progress: [ 106 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (* v v) 1)))) * * * * [misc]progress: [ 107 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* v v) 1)) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* v v) 1)) * * * * [misc]progress: [ 108 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ 1 (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ 1 (* (* 3 v) v)))))) * * * * [misc]progress: [ 109 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* v v) 1)))) * * * * [misc]progress: [ 110 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) (+ (* v v) 1)))) * * * * [misc]progress: [ 111 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (+ (* 4 (* v v)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (+ (* 4 (* v v)) 4))) * * * * [misc]progress: [ 112 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 v) v))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 v) v))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) (+ (* v v) 1))) (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v)))) (+ (* v v) 1))) (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * * * * [misc]progress: [ 113 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (+ (* v v) 1))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (+ (* v v) 1))) * * * * [misc]progress: [ 114 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (* v v) 1))) (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (* v v) 1))) (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) * * * * [misc]progress: [ 115 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* v v) 1))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* v v) 1))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 116 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) * * * * [misc]progress: [ 117 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (sqrt 2) (- 1 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (sqrt 2) (- 1 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* v v) 1))) (sqrt (sqrt (+ 1 (* (* 3 v) v))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* v v) 1))) (sqrt (sqrt (+ 1 (* (* 3 v) v))))) * * * * [misc]progress: [ 118 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v)))) (sqrt 4)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) * * * * [misc]progress: [ 119 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))) (+ (* 4 (+ (* (* v v) (* v v)) 1)) (* 4 (* v v))))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1))) (+ (* 4 (+ (* (* v v) (* v v)) 1)) (* 4 (* v v))))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* v v) 3) 1))))) * * * * [misc]progress: [ 120 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* v v) 1) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1)))) 4)) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* v v) 1) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1)))) 4)) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 121 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 122 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v 3) v) 1)))) (sqrt (* (+ (* v v) 1) (* 4 (sqrt (+ (* (* v 3) v) 1)))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v 3) v) 1)))) (sqrt (* (+ (* v v) 1) (* 4 (sqrt (+ (* (* v 3) v) 1)))))) * * * * [misc]progress: [ 123 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v 3) v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v 3) v) 1))))) * * * * [misc]progress: [ 124 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (pow (* v v) 3)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (pow (* v v) 3)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* v (* v 3)) 1)))) (sqrt (* (sqrt (+ (* (* v (* v 3)) (* v (* v 3))) (+ (* v (* v 3)) 1))) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* v (* v 3)) 1)))) (sqrt (* (sqrt (+ (* (* v (* v 3)) (* v (* v 3))) (+ (* v (* v 3)) 1))) (+ (* v v) 1)))) * * * * [misc]progress: [ 125 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (pow (* v v) 3)) (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (pow (* v v) 3)) (sqrt 2)))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v v) 3) 1))) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v v) 3) 1))) * * * * [misc]progress: [ 126 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* v (* v 3)) 1)))) (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* v (* v 3)) 1)))) (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ (* v v) 1)))) * * * * [misc]progress: [ 127 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* v (* v 3)) 1)))) (sqrt (+ (* (* 4 (* v v)) (+ (* v v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* v (* v 3)) 1)))) (sqrt (+ (* (* 4 (* v v)) (+ (* v v) 1)) 4))) * * * * [misc]progress: [ 128 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* 4 (* v v)) 4)) (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (+ (* 4 (* v v)) 4)) (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 129 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v))))) * * * * [misc]progress: [ 130 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v v) 3) 1))))) * * * * [misc]progress: [ 131 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v 3) v) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v 3) v) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* v 3) v) 1)))) (sqrt (* 4 (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1)))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* v 3) v) 1)))) (sqrt (* 4 (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1)))))) * * * * [misc]progress: [ 132 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* 4 (sqrt (+ (* v (* v 3)) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* 4 (sqrt (+ (* v (* v 3)) 1))))) * * * * [misc]progress: [ 133 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v 3) v) 3))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (* (- 1 (pow (* v v) 3)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v 3) v) 3))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (* (- 1 (pow (* v v) 3)) (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ (* (* v v) 3) 1) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v v) 3) 1))))) * * * * [misc]progress: [ 134 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (sqrt (+ (* (* v v) 3) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (sqrt (+ (* (* v v) 3) 1)))) * * * * [misc]progress: [ 135 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v 3) v) 1))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* v 3) v) 1))))) * * * * [misc]progress: [ 136 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (* (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (* (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v v) 3)))))) * * * * [misc]progress: [ 137 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))) (+ 1 (* v v))) 4)) (sqrt (* (sqrt (+ 1 (* (* v 3) v))) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ 1 (* (* v 3) v)))) (+ 1 (* v v))) 4)) (sqrt (* (sqrt (+ 1 (* (* v 3) v))) (+ 1 (* v v))))) * * * * [misc]progress: [ 138 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (+ (* v (* v 3)) 1)))) (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (+ (* v (* v 3)) 1)))) (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ (* v v) 1)))) * * * * [misc]progress: [ 139 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ 4 (* 4 (* v v))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* v (* v 3)) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ 4 (* 4 (* v v))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* v (* v 3)) 1))))) * * * * [misc]progress: [ 140 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (sqrt (+ (* (* v 3) v) 1)) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (+ (* (* v 3) v) 1) (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (sqrt (+ (* (* v 3) v) 1)) (+ (* v v) 1)))) * * * * [misc]progress: [ 141 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (sqrt (- 1 (pow (* v (* v 3)) 3))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))))) (sqrt (* (+ (* v v) 1) (sqrt (+ (* 3 (* v v)) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))))) (sqrt (* (+ (* v v) 1) (sqrt (+ (* 3 (* v v)) 1))))) * * * * [misc]progress: [ 142 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ (* v v) 1))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ (* v v) 1))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 143 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (sqrt (+ (* (* v v) 3) 1))) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (sqrt (+ (* (* v v) 3) 1))) * * * * [misc]progress: [ 144 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 4 (* (* v v) 4)) (* (* (* v v) 4) (* v v)))) (sqrt (* (sqrt (+ (* (* v 3) v) 1)) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (+ (+ 4 (* (* v v) 4)) (* (* (* v v) 4) (* v v)))) (sqrt (* (sqrt (+ (* (* v 3) v) 1)) (+ 1 (* v v))))) * * * * [misc]progress: [ 145 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* v 3) v) 1)))) (sqrt (+ (* 4 (* v v)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* v 3) v) 1)))) (sqrt (+ (* 4 (* v v)) 4))) * * * * [misc]progress: [ 146 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* v 3) v) 1))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* v 3) v) 1))))) * * * * [misc]progress: [ 147 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ 1 (* v v))))) * * * * [misc]progress: [ 148 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (sqrt 2) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v 3) v)))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ 1 (* (* v 3) v)))))) * * * * [misc]progress: [ 149 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (* 4 (sqrt (+ (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (* 4 (sqrt (+ (* (* v v) 3) 1))))) * * * * [misc]progress: [ 150 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v v) 3) 3))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v v) 3) 3))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))))) * * * * [misc]progress: [ 151 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v v) 3) 1))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v v) 3) 1))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ 1 (* v v))))) * * * * [misc]progress: [ 152 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [enter]simplify: Simplifying (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt 4)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ 1 (* v v))))) * * * * [misc]progress: [ 153 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 154 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 4 (* 4 (* v v))) (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (+ 4 (* 4 (* v v))) (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 155 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (* 3 (* v v)) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) 4)) (sqrt (+ (* (* 4 (* v v)) (* v v)) (+ (* 4 (* v v)) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (* 3 (* v v)) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))) 4)) (sqrt (+ (* (* 4 (* v v)) (* v v)) (+ (* 4 (* v v)) 4)))) * * * * [misc]progress: [ 156 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* (+ (* v v) 1) (* 4 (sqrt (+ (* v (* v 3)) 1)))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* (+ (* v v) 1) (* 4 (sqrt (+ (* v (* v 3)) 1)))))) * * * * [misc]progress: [ 157 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 158 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (+ 1 (* v (* v 3))) (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (+ 1 (* v (* v 3))) (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 159 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 4 (* 4 (* v v))) (* (* v v) (* 4 (* v v))))) (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (+ (+ 4 (* 4 (* v v))) (* (* v v) (* 4 (* v v))))) (sqrt (* (sqrt (+ (* v (* v 3)) 1)) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 160 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (+ (* (* v v) (* 4 (* v v))) (+ 4 (* 4 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (+ (* (* v v) (* 4 (* v v))) (+ 4 (* 4 (* v v)))))) * * * * [misc]progress: [ 161 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* v v) (* 4 (* v v))) (+ (* 4 (* v v)) 4)) * [exit]simplify: Simplified to (+ (* (* v v) (* 4 (* v v))) (+ (* 4 (* v v)) 4)) * * * * [misc]progress: [ 162 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* 4 (* v v)) 4)) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (+ (* 4 (* v v)) 4)) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 163 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (13 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 (97 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 164 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (+ (+ 4 (* 4 (* v v))) (* (* 4 (* v v)) (* v v))))) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (+ (+ 4 (* 4 (* v v))) (* (* 4 (* v v)) (* v v))))) * * * * [misc]progress: [ 165 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) 4)) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) 4)) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 166 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (sqrt 2) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* 4 (* v v)) (* v v)) (+ 4 (* 4 (* v v))))) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* 4 (* v v)) (* v v)) (+ 4 (* 4 (* v v))))) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4))) * * * * [misc]progress: [ 167 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 168 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* 4 (* v v)) (* v v)) (+ 4 (* 4 (* v v))))) (sqrt (sqrt (+ (* v (* v 3)) 1)))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* 4 (* v v)) (* v v)) (+ 4 (* 4 (* v v))))) (sqrt (sqrt (+ (* v (* v 3)) 1)))) * * * * [misc]progress: [ 169 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (sqrt 2) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (sqrt 2) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) (sqrt 4)) * * [misc]simplify: iters left: 6 (13 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 (97 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 170 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* 4 v) v) 4)) (sqrt (* (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* 4 v) v) 4)) (sqrt (* (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 171 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 4 (* (* v v) 4)) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))))) (sqrt (+ 4 (* (* v v) 4)))) * [exit]simplify: Simplified to (* (sqrt (* (+ 4 (* (* v v) 4)) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))))) (sqrt (+ 4 (* (* v v) 4)))) * * * * [misc]progress: [ 172 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) 4) 4)) (sqrt (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4) (sqrt (+ (* (* 3 v) v) 1))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) 4) 4)) (sqrt (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4) (sqrt (+ (* (* 3 v) v) 1))))) * * * * [misc]progress: [ 173 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) 4) 4) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (+ (* (* v v) 4) 4))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) 4) 4) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (+ (* (* v v) 4) 4))) * * * * [misc]progress: [ 174 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v (* 4 v)) 4)) (sqrt (* (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (+ (* v (* 4 v)) 4)) (sqrt (* (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))))) * * * * [misc]progress: [ 175 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (+ (* (* v v) 4) 4))) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v))))))) (sqrt (+ (* (* v v) 4) 4))) * * * * [misc]progress: [ 176 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* v (* 3 v)) 1)))) (sqrt (+ 4 (* v (* 4 v))))) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* v (* 3 v)) 1)))) (sqrt (+ 4 (* v (* 4 v))))) * * * * [misc]progress: [ 177 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 4 (* (* v v) 4))) (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (+ 4 (* (* v v) 4))) (sqrt (* (+ (* v v) 1) (sqrt (+ (* (* v v) 3) 1))))) * * * * [misc]progress: [ 178 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (* v v) 4) (+ 1 (* v v))) 4)) (sqrt (+ 4 (* (* v v) 4)))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* (* v v) 4) (+ 1 (* v v))) 4)) (sqrt (+ 4 (* (* v v) 4)))) * * * * [misc]progress: [ 179 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (+ 4 (* (* v v) 4)) * [exit]simplify: Simplified to (+ 4 (* (* v v) 4)) * * * * [misc]progress: [ 180 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 4 (* (* v v) 4))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (+ 4 (* (* v v) 4))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * * * * [misc]progress: [ 181 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (+ (* (* v v) 4) 4))) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (+ (* (* v v) 4) 4))) * * * * [misc]progress: [ 182 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (sqrt 2) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (sqrt 2) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))) 4)) (sqrt (+ 4 (* (* 4 v) v)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))) 4)) (sqrt (+ 4 (* (* 4 v) v)))) * * * * [misc]progress: [ 183 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) 4) 4)) (sqrt (* 4 (sqrt (+ (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) 4) 4)) (sqrt (* 4 (sqrt (+ (* (* v v) 3) 1))))) * * * * [misc]progress: [ 184 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) (sqrt (+ (* (* 4 v) v) 4))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) (sqrt (+ (* (* 4 v) v) 4))) * * * * [misc]progress: [ 185 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* v (* 3 v)) 1))) (sqrt (+ 4 (* (* v v) 4)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* v (* 3 v)) 1))) (sqrt (+ 4 (* (* v v) 4)))) * * * * [misc]progress: [ 186 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (+ 1 (* v v)))) (sqrt 4)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (+ (* (* v v) 4) 4))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (+ (* (* v v) 4) 4))) * * * * [misc]progress: [ 187 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* v (* v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* v (* v 3))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * * * * [misc]progress: [ 188 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (* 4 (* v v)) 4)))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))) (+ (* 4 (* v v)) 4)))) * * * * [misc]progress: [ 189 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * * * * [misc]progress: [ 190 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ 1 (* 3 (* v v)))) 4) (+ 1 (* v v)))) (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ 1 (* 3 (* v v)))) 4) (+ 1 (* v v)))) (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * * * * [misc]progress: [ 191 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* v 3)) 3))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))) (+ (+ 1 (* v v)) (* (* v v) (* v v))))) (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * * * * [misc]progress: [ 192 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * * * * [misc]progress: [ 193 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) (+ (* (* v v) (* v v)) (+ 1 (* v v))))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) (+ (* (* v v) (* v v)) (+ 1 (* v v))))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * * * * [misc]progress: [ 194 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* 3 (* v v)) 1))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* 3 (* v v)) 1))))) * * * * [misc]progress: [ 195 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (+ (* (+ 1 (* v v)) (* 4 (* v v))) 4))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (+ (* (+ 1 (* v v)) (* 4 (* v v))) 4))) * * * * [misc]progress: [ 196 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (+ (* 4 (* v v)) 4))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (+ (* 4 (* v v)) 4))) * * * * [misc]progress: [ 197 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (+ (* (* v v) (* v v)) (+ 1 (* v v))) * [exit]simplify: Simplified to (+ (* (* v v) (* v v)) (+ 1 (* v v))) * * * * [misc]progress: [ 198 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)))) (sqrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * * * * [misc]progress: [ 199 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) * * * * [misc]progress: [ 200 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v 3) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v 3) v)))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4))) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v)))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4))) * * * * [misc]progress: [ 201 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (/ (sqrt (- 1 (pow (* (* v 3) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (pow v 3) (pow v 3))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (/ (sqrt (- 1 (pow (* (* v 3) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * * * * [misc]progress: [ 202 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v)))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* 3 (* v v)) 1))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* 3 (* v v)) 1))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * * * * [misc]progress: [ 203 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) (sqrt 4)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (+ (+ 1 (* v v)) (* (* v v) (* v v))))) * * * * [misc]progress: [ 204 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (435 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))))) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))))) * * * * [misc]progress: [ 205 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* v 3) v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))) (+ 1 (* v v))))) (sqrt (+ 1 (* v v)))) * [exit]simplify: Simplified to (* (sqrt (* 4 (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))) (+ 1 (* v v))))) (sqrt (+ 1 (* v v)))) * * * * [misc]progress: [ 206 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (* 4 (+ (* (* v v) (* v v)) (+ 1 (* v v))))))) * * * * [misc]progress: [ 207 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (+ 4 (* 4 (* v v))) (sqrt (+ 1 (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (+ 4 (* 4 (* v v))) (sqrt (+ 1 (* (* 3 v) v)))))) * * * * [misc]progress: [ 208 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1)))))) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ (* (* v v) 3) 1)))))) * * * * [misc]progress: [ 209 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (+ 1 (* v v)))) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (+ 1 (* v v)))) * * * * [misc]progress: [ 210 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ (* (* v v) (* v v)) (+ 1 (* v v))))) (sqrt (+ 1 (* v v)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ (* (* v v) (* v v)) (+ 1 (* v v))))) (sqrt (+ 1 (* v v)))) * * * * [misc]progress: [ 211 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (+ 1 (* v v)))) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (+ 1 (* v v)))) * * * * [misc]progress: [ 212 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (+ (* (* v v) (* (* v v) 4)) (+ 4 (* (* v v) 4))))) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt (+ (* (* v v) (* (* v v) 4)) (+ 4 (* (* v v) 4))))) * * * * [misc]progress: [ 213 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* 4 v) v) 4)) (sqrt (+ 1 (* v v)))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* 4 v) v) 4)) (sqrt (+ 1 (* v v)))) * * * * [misc]progress: [ 214 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v)))) (sqrt (+ 1 (* v v)))) * * * * [misc]progress: [ 215 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ 1 (* v v)) * [exit]simplify: Simplified to (+ 1 (* v v)) * * * * [misc]progress: [ 216 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) 4)) (sqrt (+ 1 (* v v)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))) 4)) (sqrt (+ 1 (* v v)))) * * * * [misc]progress: [ 217 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4)) (sqrt (+ 1 (* v v)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) 4)) (sqrt (+ 1 (* v v)))) * * * * [misc]progress: [ 218 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* 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 (47 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))) * * * * [misc]progress: [ 219 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 v) v) 1))) (sqrt (+ 1 (* v v)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 v) v) 1))) (sqrt (+ 1 (* v v)))) * * * * [misc]progress: [ 220 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* v v))) (sqrt 4)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt 4)) * * * * [misc]progress: [ 221 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1))))) (sqrt (* (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1))) 4))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1))))) (sqrt (* (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1))) 4))) * * * * [misc]progress: [ 222 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (* 4 (* (+ 1 (* v v)) (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))) (sqrt (* 4 (* (+ 1 (* v v)) (sqrt (+ (+ (* (* 3 v) v) 1) (* (* (* 3 v) v) (* (* 3 v) v)))))))) * * * * [misc]progress: [ 223 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (+ 1 (* v v)) (* (* v v) (* v v))) 4) (sqrt (+ (* 3 (* v v)) 1)))) (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * * * * [misc]progress: [ 224 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (* 3 (* v v)) 1)) 4) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (* 3 (* v v)) 1)) 4) (+ 1 (* v v)))) (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * * * * [misc]progress: [ 225 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* 4 (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* 4 (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1)))))) * * * * [misc]progress: [ 226 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * * * * [misc]progress: [ 227 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* 3 v)) (* v (* 3 v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (sqrt (- 1 (pow (* v (* 3 v)) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1))))) (sqrt (* (sqrt (+ (* v (* 3 v)) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1))))) (sqrt (* (sqrt (+ (* v (* 3 v)) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 228 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* 3 v) v) 1))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* 3 v) v) 1))))) * * * * [misc]progress: [ 229 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (+ (* v v) 1) (* (* v v) 4)) 4)) (sqrt (* 4 (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1)))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (+ (* v v) 1) (* (* v v) 4)) 4)) (sqrt (* 4 (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1)))))) * * * * [misc]progress: [ 230 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* 3 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (+ 4 (* (* v v) 4)))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (+ 4 (* (* v v) 4)))) * * * * [misc]progress: [ 231 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (/ (sqrt (- 1 (* (* 3 v) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (/ (sqrt (- 1 (* (* 3 v) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ (* v (* v 3)) 1) (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1)))) * * * * [misc]progress: [ 232 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (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 (50 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* 4 (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v)))))))) * * * * [misc]progress: [ 233 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (sqrt 2))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) * [exit]simplify: Simplified to (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) * * * * [misc]progress: [ 234 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* 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 (53 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4)) (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4)) (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))))) * * * * [misc]progress: [ 235 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) * * * * [misc]progress: [ 236 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt (sqrt (+ 1 (* 3 (* 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 (51 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))))) (sqrt (sqrt (+ (* 3 (* v v)) 1)))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))))) (sqrt (sqrt (+ (* 3 (* v v)) 1)))) * * * * [misc]progress: [ 237 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) (sqrt 4)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt 4)) * * * * [misc]progress: [ 238 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1))) (+ 4 (* 4 (+ (* v v) (* (* v v) (* v v))))))) (sqrt (* (sqrt (+ (* v (* 3 v)) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* v (* 3 v)) (* v (* 3 v))) (+ (* v (* 3 v)) 1))) (+ 4 (* 4 (+ (* v v) (* (* v v) (* v v))))))) (sqrt (* (sqrt (+ (* v (* 3 v)) 1)) 4))) * * * * [misc]progress: [ 239 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ 1 (* v v)) 4) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))))) (sqrt (* (sqrt (+ (* (* 3 v) v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ 1 (* v v)) 4) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))))) (sqrt (* (sqrt (+ (* (* 3 v) v) 1)) 4))) * * * * [misc]progress: [ 240 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4)) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4)) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* 3 v) v)))))) * * * * [misc]progress: [ 241 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (* (* 3 v) v))))) (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* v (* v 4)) 4)))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (* (* 3 v) v))))) (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ (* v (* v 4)) 4)))) * * * * [misc]progress: [ 242 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3)))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ (* 3 (* v v)) 1) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4))) * * * * [misc]progress: [ 243 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))))) (sqrt (* (sqrt (+ (* (* 3 v) v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ (* (* 3 v) v) 1))))) (sqrt (* (sqrt (+ (* (* 3 v) v) 1)) 4))) * * * * [misc]progress: [ 244 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (pow (* v v) 3)) (/ (sqrt 2) 4))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (* v (* 3 v)))))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ 1 (* v (* 3 v))))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (* v (* 3 v)))))) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ 1 (* v (* 3 v))))))) * * * * [misc]progress: [ 245 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4)) (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4)) (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) (+ 1 (* v v))))) * * * * [misc]progress: [ 246 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4)) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4)) (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4))) * * * * [misc]progress: [ 247 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4)) (sqrt (+ (* 4 (* v v)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4)) (sqrt (+ (* 4 (* v v)) 4))) * * * * [misc]progress: [ 248 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (* (sqrt (+ 1 (* (* 3 v) v))) 4))) * * * * [misc]progress: [ 249 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4))) * * * * [misc]progress: [ 250 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))) 4)) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))) 4)) (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4))) * * * * [misc]progress: [ 251 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* 3 (* v v)))) 4) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* 3 (* v v)))) 4) * * * * [misc]progress: [ 252 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (/ (sqrt 2) 4))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4)) (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* 3 (* v v)) 1)) 4)) (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))))) * * * * [misc]progress: [ 253 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (/ (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4))) * * * * [misc]progress: [ 254 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt 4)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) 4))) * * * * [misc]progress: [ 255 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) * * * * [misc]progress: [ 256 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v v) 3) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (pow (* (* v v) 3) 3)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (* (+ 4 (* (* v v) 4)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (* (+ 4 (* (* v v) 4)) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) * * * * [misc]progress: [ 257 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt (* (* (sqrt (+ 1 (* 3 (* v v)))) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt (* (* (sqrt (+ 1 (* 3 (* v v)))) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1))))) * * * * [misc]progress: [ 258 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (+ (* v v) 1)) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (+ (* v v) 1)) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 259 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (* (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3))))) (sqrt (* (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))))) * * * * [misc]progress: [ 260 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* v v) 1))) (sqrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ (* v v) 1))) (sqrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))))) * * * * [misc]progress: [ 261 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* (* v v) 3))) (+ (+ (* v v) 1) (* (* v v) (* v v))))) (sqrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) * * * * [misc]progress: [ 262 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (sqrt 2) (- 1 (* (* v v) (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))))) (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))))) (sqrt (* (+ (* v v) 1) (sqrt (+ 1 (* (* 3 v) v)))))) * * * * [misc]progress: [ 263 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) * * * * [misc]progress: [ 264 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* 3 v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (+ 4 (* (* v v) 4)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (+ 4 (* (* v v) 4)))) * * * * [misc]progress: [ 265 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3))))) (sqrt (+ (* (* v v) (* v v)) (+ 1 (* v v))))) * * * * [misc]progress: [ 266 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* 3 v)))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* 3 v)))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* 3 v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (+ 1 (* 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 (47 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (+ (* v v) 1))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (+ (* v v) 1))) * * * * [misc]progress: [ 267 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 268 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* 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 (51 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 269 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* v (* 3 v)) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) * [exit]simplify: Simplified to (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) * * * * [misc]progress: [ 270 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 271 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (sqrt 4)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))) (sqrt 4)) * * * * [misc]progress: [ 272 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (sqrt 2) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) 4) (+ (* (* v v) (* v v)) (+ (* v v) 1)))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * * * [misc]progress: [ 273 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (sqrt 2) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ 1 (* v v)) 4) (sqrt (+ (+ 1 (* v (* v 3))) (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (sqrt (+ 1 (* v (* v 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ 1 (* v v)) 4) (sqrt (+ (+ 1 (* v (* v 3))) (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (sqrt (+ 1 (* v (* v 3)))))) * * * * [misc]progress: [ 274 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v v) 3) 1))) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ (* (* v v) 3) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v v) 3) 1))) (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ (* (* v v) 3) 1))))) * * * * [misc]progress: [ 275 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ 1 (* v v)) 4) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (sqrt (+ (* (* v v) 3) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (* (+ 1 (* v v)) 4) (sqrt (+ (* (* v v) 3) 1)))) (sqrt (sqrt (+ (* (* v v) 3) 1)))) * * * * [misc]progress: [ 276 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* 3 (* v v)) 1))) (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* 3 (* v v)) 1))) (sqrt (* (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1))) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 277 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (sqrt (- 1 (pow (* (* v v) 3) 3))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v 3) v) 1))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v 3) v) 1))) (sqrt (* (+ 1 (* v v)) (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1)))))) * * * * [misc]progress: [ 278 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v v) 3) 1))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v v) 3) 1))) (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v)))))) * * * * [misc]progress: [ 279 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (* v v)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) 3) 1)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (* v v) 3) 1)) (+ 1 (* v v)))) (sqrt (sqrt (+ (* (* v v) 3) 1)))) * * * * [misc]progress: [ 280 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (* (* v v) 3))))) (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v v) 3) 1))) (sqrt (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v v) 3) 1))) (sqrt (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4))) * * * * [misc]progress: [ 281 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v 3) v)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* v 3) v)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* v (* v 3)) 1))) (sqrt (+ (* 4 (* v v)) 4))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* v (* v 3)) 1))) (sqrt (+ (* 4 (* v v)) 4))) * * * * [misc]progress: [ 282 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (sqrt (+ (* (* v v) 3) 1)))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) (* v v)) (+ (* v v) 1))) (sqrt (sqrt (+ (* (* v v) 3) 1)))) * * * * [misc]progress: [ 283 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ (* (* v 3) v) 1)))) * [exit]simplify: Simplified to (* (sqrt (+ 1 (* v v))) (sqrt (sqrt (+ (* (* v 3) v) 1)))) * * * * [misc]progress: [ 284 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (* (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))) 4))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (* (* v 3) v)))) (sqrt (* (sqrt (+ (+ 1 (* (* v 3) v)) (* (* (* v 3) v) (* (* v 3) v)))) 4))) * * * * [misc]progress: [ 285 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* v 3) v) 1)))) (sqrt (sqrt (+ (* (* v 3) v) 1)))) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* v 3) v) 1)))) (sqrt (sqrt (+ (* (* v 3) v) 1)))) * * * * [misc]progress: [ 286 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* v (* v 3)) 3)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v 3) v) 1))) (sqrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (* v 3) v) 1))) (sqrt (sqrt (+ (* (* (* v 3) v) (* (* v 3) v)) (+ (* (* v 3) v) 1))))) * * * * [misc]progress: [ 287 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (/ (sqrt 2) 4) (- 1 (* v v)))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* v 3) v) 1)) * [exit]simplify: Simplified to (sqrt (+ (* (* v 3) v) 1)) * * * * [misc]progress: [ 288 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v 3) v))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v 3) v))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 (* 3 (* v v))))) (sqrt 4)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (sqrt (+ (* (* v 3) v) 1)))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (sqrt (+ (* (* v 3) v) 1)))) * * * * [misc]progress: [ 289 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ (+ 1 (* (* v v) 3)) (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt 4)) * * * * [misc]progress: [ 290 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (+ (* v v) 1) (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v)))))))) (sqrt 4)) * * * * [misc]progress: [ 291 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (sqrt 2) (- 1 (pow (* v v) 3))) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (279 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* 3 v) v))))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) 4) (sqrt (+ 1 (* (* 3 v) v))))) (sqrt 4)) * * * * [misc]progress: [ 292 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (+ 1 (* v v))) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (* 4 (+ 1 (* v v))) (sqrt (+ 1 (* 3 (* v v)))))) (sqrt 4)) * * * * [misc]progress: [ 293 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (pow (* 3 (* v v)) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (+ (* (* v v) (* v v)) (+ (* v v) 1)) (sqrt (+ (* (* (* v v) 3) (* (* v v) 3)) (+ 1 (* (* v v) 3)))))) (sqrt 4)) * * * * [misc]progress: [ 294 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ 1 (* v v))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v))))) (+ 1 (* v v))))) * * * * [misc]progress: [ 295 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (sqrt (+ 1 (* v (* 3 v)))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt 4) (sqrt (* (sqrt (+ 1 (* v (* 3 v)))) (+ (* (* v v) (* v v)) (+ 1 (* v v)))))) * * * * [misc]progress: [ 296 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (/ (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (/ (sqrt (- 1 (* (* (* 3 v) v) (* (* 3 v) v)))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v)))) (sqrt 4)) * * * * [misc]progress: [ 297 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 v) v))) (* (sqrt 2) (- 1 (pow (* v v) 3))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 v) v)))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4)) (sqrt 4)) * * * * [misc]progress: [ 298 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (sqrt 2) (- 1 (* (* v v) (* v v)))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (* 4 (+ 1 (* v v))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v 4) v) 4)) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v 4) v) 4)) (sqrt 4)) * * * * [misc]progress: [ 299 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* v v) 1) (* (* v v) (* v v)))) (sqrt 4)) * * * * [misc]progress: [ 300 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v)))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (+ 1 (* v v)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (+ (* v v) 1)) (sqrt 4)) * * * * [misc]progress: [ 301 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ 1 (* 3 (* v v))))))) (sqrt 4)) * * * * [misc]progress: [ 302 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* v v)) (sqrt 2)))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (* 4 (sqrt (+ 1 (* 3 (* v v)))))) (sqrt 4)) * * * * [misc]progress: [ 303 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (pow (* 3 (* v v)) 3))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ 1 (* 3 (* v v))) (* (* 3 (* v v)) (* 3 (* v v)))))) (sqrt 4)) * * * * [misc]progress: [ 304 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt (sqrt (+ 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (* v (* 3 v))))) (sqrt 4)) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 (* v (* 3 v))))) (sqrt 4)) * * * * [misc]progress: [ 305 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) * [enter]simplify: Simplifying (* (sqrt 4) (sqrt 4)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to 4 * [exit]simplify: Simplified to 4 * * * * [misc]progress: [ 306 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 307 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (* (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (cbrt (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))) (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (cbrt (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))))))) * * * * [misc]progress: [ 308 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4)))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* v (* v 3)))) (/ (sqrt 2) 4)))) * * * * [misc]progress: [ 309 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))))) * * * * [misc]progress: [ 310 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) * * * * [misc]progress: [ 311 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (cbrt (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (cbrt (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))))) * * * * [misc]progress: [ 312 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- 1 (* v v))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (sqrt (- 1 (* v v)))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (sqrt (- 1 (* v v)))) * * * * [misc]progress: [ 313 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))))) * * * * [misc]progress: [ 314 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* v 3)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * * * * [misc]progress: [ 315 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (pow (* v v) 3)) (sqrt 2))))) * * * * [misc]progress: [ 316 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (pow (* (* v 3) v) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * * * * [misc]progress: [ 317 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))))) * * * * [misc]progress: [ 318 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))))) * * * * [misc]progress: [ 319 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (pow (* (* v 3) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (pow (* (* v 3) v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (pow (* v v) 3)))))) * * * * [misc]progress: [ 320 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (pow (* (* v 3) v) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (pow (* (* v 3) v) 3))) (/ 4 (* (- 1 (* (* v v) (* v v))) (sqrt 2)))))) * * * * [misc]progress: [ 321 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (* (- 1 (pow (* v v) 3)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ 4 (* (- 1 (pow (* v v) 3)) (sqrt 2)))))) * * * * [misc]progress: [ 322 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v))))))) * * * * [misc]progress: [ 323 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * * * * [misc]progress: [ 324 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 325 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3))))))) * * * * [misc]progress: [ 326 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2)))))) * * * * [misc]progress: [ 327 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))) (sqrt (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* v v)) (sqrt 2))))) * * * * [misc]progress: [ 328 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * * * * [misc]progress: [ 329 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* 3 (* v v)) 3)))))) * * * * [misc]progress: [ 330 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * [exit]simplify: Simplified to (* (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* v (* v 3)))))) (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3)))))))) * * * * [misc]progress: [ 331 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))))) * * * * [misc]progress: [ 332 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 v) v))))) (sqrt (* (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * * * * [misc]progress: [ 333 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 v) v))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 v) v))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3)))))) * * * * [misc]progress: [ 334 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (* (- 1 (* (pow v 3) (pow v 3))) (sqrt 2))))) * * * * [misc]progress: [ 335 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))))) * * * * [misc]progress: [ 336 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3))))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* (* v v) 3))) (* (/ (sqrt 2) 4) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (sqrt 2) (- 1 (pow (* v v) 3))))))) * * * * [misc]progress: [ 337 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (/ (sqrt (- 1 (* v (* 3 v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* v (* 3 v)) 3))))) (sqrt (/ (sqrt (- 1 (* v (* 3 v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * * * * [misc]progress: [ 338 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* (* (* v v) 3) (* (* v v) 3)))))) (sqrt (/ (sqrt (- 1 (* (* v v) 3))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 339 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (sqrt 2) 4) (- 1 (* v v))) (sqrt (- 1 (* (* v 3) v))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))))) * * * * [misc]progress: [ 340 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 341 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* (* v v) (* v v))) (sqrt 2)))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 342 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* (pow v 3) (pow v 3)))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * * * * [misc]progress: [ 343 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v))))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))))) (sqrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 344 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 v) v)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* (* 3 v) v) 3))))) (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* (* 3 v) v)))))) * * * * [misc]progress: [ 345 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v))))))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * * * * [misc]progress: [ 346 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 v) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* 3 v) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (/ (sqrt (- 1 (pow (* (* 3 v) v) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * * * * [misc]progress: [ 347 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* (* v 3) v))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) (sqrt (/ (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * * * * [misc]progress: [ 348 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (sqrt (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))))) * * * * [misc]progress: [ 349 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 350 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 351 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (* 3 (* v v))) * [exit]simplify: Simplified to (log (* 3 (* v v))) * * * * [misc]progress: [ 352 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (pow (exp v) (* v 3)) * [exit]simplify: Simplified to (pow (exp v) (* v 3)) * * * * [misc]progress: [ 353 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) * [exit]simplify: Simplified to (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) * [enter]simplify: Simplifying (cbrt (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (* 3 (* v v))) * [exit]simplify: Simplified to (cbrt (* 3 (* v v))) * * * * [misc]progress: [ 354 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (pow (* 3 (* v v)) 3) * [exit]simplify: Simplified to (pow (* 3 (* v v)) 3) * * * * [misc]progress: [ 355 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* 3 (* v v))) * [exit]simplify: Simplified to (sqrt (* 3 (* v v))) * [enter]simplify: Simplifying (sqrt (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* 3 (* v v))) * [exit]simplify: Simplified to (sqrt (* 3 (* v v))) * * * * [misc]progress: [ 356 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 357 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 v) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* v 3) * [exit]simplify: Simplified to (* v 3) * * * * [misc]progress: [ 358 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 359 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 360 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (* 3 (* v v))) * [exit]simplify: Simplified to (log (* 3 (* v v))) * * * * [misc]progress: [ 361 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (pow (exp v) (* v 3)) * [exit]simplify: Simplified to (pow (exp v) (* v 3)) * * * * [misc]progress: [ 362 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) * [exit]simplify: Simplified to (* (cbrt (* 3 (* v v))) (cbrt (* 3 (* v v)))) * [enter]simplify: Simplifying (cbrt (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (* 3 (* v v))) * [exit]simplify: Simplified to (cbrt (* 3 (* v v))) * * * * [misc]progress: [ 363 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* 3 (* v v)) (* 3 (* v v))) (* 3 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (pow (* 3 (* v v)) 3) * [exit]simplify: Simplified to (pow (* 3 (* v v)) 3) * * * * [misc]progress: [ 364 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* 3 (* v v))) * [exit]simplify: Simplified to (sqrt (* 3 (* v v))) * [enter]simplify: Simplifying (sqrt (* 3 (* v v))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (* 3 (* v v))) * [exit]simplify: Simplified to (sqrt (* 3 (* v v))) * * * * [misc]progress: [ 365 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 366 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* 3 v) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* v 3) * [exit]simplify: Simplified to (* v 3) * * * * [misc]progress: [ 367 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 368 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 369 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))) * * * * [misc]progress: [ 370 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 371 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ (sqrt 2) 4)) (log (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- 1 (* (* v v) 3)))) (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4)))) * [exit]simplify: Simplified to (+ (log (sqrt (- 1 (* (* v v) 3)))) (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4)))) * * * * [misc]progress: [ 372 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (log (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (sqrt (- 1 (* 3 (* v v)))))) * [exit]simplify: Simplified to (+ (+ (log (- 1 (* v v))) (log (/ (sqrt 2) 4))) (log (sqrt (- 1 (* 3 (* v v)))))) * * * * [misc]progress: [ 373 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) * [exit]simplify: Simplified to (log (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2))))) * * * * [misc]progress: [ 374 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (exp (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* v 3)))))) * [exit]simplify: Simplified to (exp (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* v 3)))))) * * * * [misc]progress: [ 375 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2))))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v 3) v)) (sqrt (- 1 (* (* v 3) v)))) (* (pow (- 1 (* v v)) 3) (/ (/ 2 4) (/ (* 4 4) (sqrt 2))))) * * * * [misc]progress: [ 376 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (* (* (pow (- 1 (* v v)) 3) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (* (sqrt (- 1 (* (* v 3) v))) (- 1 (* (* v 3) v)))) * [exit]simplify: Simplified to (* (* (pow (- 1 (* v v)) 3) (* (/ (/ 2 4) 4) (/ (sqrt 2) 4))) (* (sqrt (- 1 (* (* v 3) v))) (- 1 (* (* v 3) v)))) * * * * [misc]progress: [ 377 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (cbrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (cbrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v))))) (cbrt (/ (sqrt (- 1 (* v (* v 3)))) (/ (/ 4 (sqrt 2)) (- 1 (* v v)))))) * [enter]simplify: Simplifying (cbrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (cbrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * * * * [misc]progress: [ 378 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (379 enodes) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (* (- 1 (* 3 (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) * [exit]simplify: Simplified to (* (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (* (- 1 (* 3 (* v v))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) * * * * [misc]progress: [ 379 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [enter]simplify: Simplifying (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * [exit]simplify: Simplified to (sqrt (* (/ (- 1 (* v v)) (/ 4 (sqrt 2))) (sqrt (- 1 (* (* v 3) v))))) * * * * [misc]progress: [ 380 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))) * [exit]simplify: Simplified to (* (* (+ (* (* v v) (* v v)) (+ 1 (* v v))) 4) (sqrt (+ (+ (* v (* 3 v)) 1) (* (* v (* 3 v)) (* v (* 3 v)))))) * * * * [misc]progress: [ 381 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (pow (* 3 (* v v)) 3))) (* (- 1 (* (* v v) (* v v))) (sqrt 2))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (* (+ 4 (* v (* 4 v))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) * [exit]simplify: Simplified to (* (+ 4 (* v (* 4 v))) (sqrt (+ (* (* 3 (* v v)) (* 3 (* v v))) (+ (* 3 (* v v)) 1)))) * * * * [misc]progress: [ 382 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [exit]simplify: Simplified to (* (* (- 1 (pow (* v v) 3)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ 1 (* (* v v) 3)))) * [exit]simplify: Simplified to (* (* (+ (+ (* v v) 1) (* (* v v) (* v v))) 4) (sqrt (+ 1 (* (* v v) 3)))) * * * * [misc]progress: [ 383 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v))))) * [enter]simplify: Simplifying (* (* 4 (sqrt (+ 1 (* 3 (* v v))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (* (+ 1 (* v v)) 4) (sqrt (+ 1 (* 3 (* v v))))) * [exit]simplify: Simplified to (* (* (+ 1 (* v v)) 4) (sqrt (+ 1 (* 3 (* v v))))) * * * * [misc]progress: [ 384 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [exit]simplify: Simplified to (* (/ (- 1 (pow (* v v) 3)) (/ 4 (sqrt 2))) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))))) * [exit]simplify: Simplified to (* (+ (+ (* v v) 1) (* (* v v) (* v v))) (sqrt (+ (* (* (* 3 v) v) (* (* 3 v) v)) (+ 1 (* (* 3 v) v))))) * * * * [misc]progress: [ 385 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* (* v v) (* v v)))) (sqrt (- 1 (pow (* (* v v) 3) 3)))) * [enter]simplify: Simplifying (* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* v v) 1)) * [exit]simplify: Simplified to (* (sqrt (+ (+ 1 (* (* 3 v) v)) (* (* (* 3 v) v) (* (* 3 v) v)))) (+ (* v v) 1)) * * * * [misc]progress: [ 386 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (* (/ (sqrt 2) 4) (- 1 (pow (* v v) 3)))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* 3 (* v v)))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) 3) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v)))) * [exit]simplify: Simplified to (* (sqrt (+ (* (* v v) 3) 1)) (+ (+ (* v v) 1) (* (* v v) (* v v)))) * * * * [misc]progress: [ 387 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v (* v 3)) (* v (* v 3))))) (/ (/ 4 (sqrt 2)) (- 1 (* (* v v) (* v v))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 (* 3 (* v v)))) (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (sqrt (+ (* (* v 3) v) 1))) * [exit]simplify: Simplified to (* (+ 1 (* v v)) (sqrt (+ (* (* v 3) v) 1))) * * * * [misc]progress: [ 388 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (pow (* v v) 3)) (sqrt 2))) * [enter]simplify: Simplifying (* 4 (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) * [exit]simplify: Simplified to (* 4 (+ (+ (* v v) 1) (* (* v v) (* v v)))) * * * * [misc]progress: [ 389 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) * [exit]simplify: Simplified to (* (* (- 1 (* (* v v) (* v v))) (sqrt 2)) (sqrt (- 1 (* 3 (* v v))))) * [enter]simplify: Simplifying (* 4 (+ 1 (* v v))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (+ (* (* v v) 4) 4) * [exit]simplify: Simplified to (+ (* (* v v) 4) 4) * * * * [misc]progress: [ 390 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 391 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4)) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4)) * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (/ (* (* v v) (- (sqrt 2))) 4) (sqrt (- 1 (* 3 (* v v))))) * [exit]simplify: Simplified to (* (/ (* (* v v) (- (sqrt 2))) 4) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 392 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v 3) v)))) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (sqrt (- 1 (* (* v 3) v)))) * [enter]simplify: Simplifying (* (- (* v v)) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* v 3)))) (/ (* (- v) v) (/ 4 (sqrt 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* v (* v 3)))) (/ (* (- v) v) (/ 4 (sqrt 2)))) * * * * [misc]progress: [ 393 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * [exit]simplify: Simplified to (* (/ (sqrt 2) 4) (* (sqrt (- 1 (* 3 (* v v)))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v)))))) * * * * [misc]progress: [ 394 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* v v)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* (* v 3) v))) (/ (/ 4 (sqrt 2)) (sqrt (- 1 (* v v))))) * * * * [misc]progress: [ 395 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4)) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (/ (sqrt 2) 4)) * * * * [misc]progress: [ 396 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- 1 (* 3 (* v v)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (- 1 (* v v)) (sqrt (- 1 (* (* v 3) v)))) * [exit]simplify: Simplified to (* (- 1 (* v v)) (sqrt (- 1 (* (* v 3) v)))) * * * * [misc]progress: [ 397 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* v (* v 3))))) * [exit]simplify: Simplified to (* (* (/ (sqrt 2) 4) (- 1 (* (pow v 3) (pow v 3)))) (sqrt (- 1 (* v (* v 3))))) * * * * [misc]progress: [ 398 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* 1 1) (* (* v v) (* v v)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v))))) * [exit]simplify: Simplified to (* (/ (- 1 (* (* v v) (* v v))) (/ 4 (sqrt 2))) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 399 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (pow (* 3 (* v v)) 3)))) * * * * [misc]progress: [ 400 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (sqrt 2)) (sqrt (- 1 (* (* 3 (* v v)) (* 3 (* v v)))))) * * * * [misc]progress: [ 401 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3)))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (pow (* (* v v) 3) 3))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))) * * * * [misc]progress: [ 402 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* (* v 3) v) (* (* v 3) v)))) (/ (- 1 (* v v)) (/ 4 (sqrt 2)))) * * * * [misc]progress: [ 403 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (sqrt 2))) * * * * [misc]progress: [ 404 / 416 ] simplifiying candidate # * * * * [misc]progress: [ 405 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (- (+ (* (pow v 4) 3/32) 1/4) (* v (* 5/8 v)))) * * * * [misc]progress: [ 406 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow (sqrt -3) 2) (* (pow (sqrt 2) 2) (pow v 2)))) (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt -3) 3) (* (pow (sqrt 2) 3) v))) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))))))) * * * * [misc]progress: [ 407 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (pow (sqrt -3) 2) (* (pow (sqrt 2) 2) (pow v 2)))) (- (+ (* +nan.0 (pow (sqrt 2) 2)) (- (+ (* +nan.0 (* (pow (sqrt -3) 3) (* (pow (sqrt 2) 3) v))) (- (+ (* +nan.0 (* (pow (sqrt 2) 4) (pow (sqrt -3) 4))) (- (* +nan.0 (* (pow (sqrt 2) 2) (pow (sqrt -3) 2)))))))))))) * * * * [misc]progress: [ 408 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (/ (sqrt 2) 4))) * * * * [misc]progress: [ 409 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (/ (sqrt 2) 4))) * * * * [misc]progress: [ 410 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* (* v 3) v))) (* (- 1 (* v v)) (/ (sqrt 2) 4))) * * * * [misc]progress: [ 411 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 412 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 413 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (pow v 2))))) (- 1 (* v v)))) (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v))))) * * * * [misc]progress: [ 414 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (- (+ (* 1/4 (sqrt 2)) (* 3/32 (* (sqrt 2) (pow v 4)))) (* 5/8 (* (sqrt 2) (pow v 2)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt 2) (- (+ 1/4 (* 3/32 (pow v 4))) (* (* v v) 5/8)))) (sqrt (/ (sqrt (- 1 (* 3 (* v v)))) (/ 4 (* (- 1 (* v v)) (sqrt 2)))))) * * * * [misc]progress: [ 415 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (- (+ (* 1/4 (* (sqrt 2) (* (sqrt -3) v))) (+ (* 1/8 (/ (sqrt 2) (* v (sqrt -3)))) (* 1/32 (/ (sqrt 2) (* v (pow (sqrt -3) 3)))))) (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 3)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* v (* v 3)))))) (sqrt (- (+ (* (/ (/ (sqrt 2) v) (sqrt -3)) (+ (/ 1/32 -3) 1/8)) (- (* (* (sqrt -3) v) (* (sqrt 2) 1/4)) (* (* (pow v 3) 1/4) (* (sqrt -3) (sqrt 2))))) (/ (* v 1/8) (/ (sqrt -3) (sqrt 2)))))) * * * * [misc]progress: [ 416 / 416 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))) (sqrt (- (+ (* 1/8 (/ (* (sqrt 2) v) (sqrt -3))) (* 1/4 (* (sqrt -3) (* (sqrt 2) (pow v 3))))) (+ (* 1/32 (/ (sqrt 2) (* (pow (sqrt -3) 3) v))) (+ (* 1/8 (/ (sqrt 2) (* (sqrt -3) v))) (* 1/4 (* v (* (sqrt 2) (sqrt -3))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (- 1 (* v (* v 3)))) (* (- 1 (* v v)) (/ (sqrt 2) 4)))) (sqrt (- (+ (* (/ (sqrt 2) (sqrt -3)) (- (* 1/8 v) (/ 1/8 v))) (* (* (pow v 3) (sqrt 2)) (* 1/4 (sqrt -3)))) (+ (/ (* (/ 1/32 -3) (sqrt 2)) (* v (sqrt -3))) (* (* (sqrt -3) (sqrt 2)) (* v 1/4)))))) * * * [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 (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (* (* (sqrt (- 1 (* 3 (* v v)))) (/ (sqrt 2) 4)) (- 1 (* v v)))